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Home
Chemistry
(19)
Atomic Mass
Boiling Point
Bond Order
Change in Boiling Point of Solvent
Gibbs Free Energy
Mass Percent
Molality
Molar Volume
Molarity
Mole Fraction
9 More formulas!
Atomic structure
Bohr's atomic model
(35)
Angular Momentum
Angular velocity of electron
Bohr's Radius
Change In Wave Number Of A Moving Particle
Change In Wavelength Of A Moving Particle
Electrostatic force between nucleus and electron
Frequency Using Energy
Ionization potential
Kinetic Energy Of A Electron
Kinetic energy of electron when atomic number is given
25 More formulas!
Hydrogen spectrum
(18)
Energy gap between two orbits
Energy gap when energy of two levels are given
Energy of electron in final orbit
Energy of electron in initial orbit
Energy of stationary state of hydrogen
Frequency associated with a photon
Frequency of photon when energy levels are given
Number Of Spectral Lines
Rydberg's Equation
Rydberg's Equation for Balmer Series
8 More formulas!
Compton effect
(6)
Compton shift
Compton shift when wavelength is given
Compton wavelength of electron
Compton wavelength when Compton shift is given
Wavelength of incident beam when Compton shift is given
Wavelength of scattered beam when Compton shift is given
Distance of closest approach
(2)
Distance of closest approach
Velocity of alpha particle using distance of closest approach
Heisenberg's Uncertainty Principle
(23)
Angle of light ray when uncertainty in momentum is given
Angle of light ray when uncertainty in position is given
Early form of Uncertainty principle
Mass a of microscopic particle in uncertainty relation
Mass b of microscopic particle in uncertainty relation
Mass in Uncertainty principle
Momentum of a particle
Uncertainty in energy
Uncertainty in momentum
Uncertainty in momentum when angle of light ray is given
13 More formulas!
Planck Quantum Theory
(6)
Energy of 1 mole of photons
Energy Of A Moving Particle Using Frequency
Energy Of A Moving Particle Using Wave Number
Energy Of A Moving Particle Using Wavelength
Energy of a photon using Einstein's approach
Frequency Of A Moving Particle
Photo electric effect
(7)
Energy of photon in photo-electric effect
Intensity of light in photo-electric effect
Kinetic energy of photoelectrons
Kinetic energy of photoelectrons when threshold energy is given
Threshold energy
Threshold energy when energy of photon is given
Threshold frequency when threshold energy is given
Sommerfeld model
(9)
Angular momentum of electron
Angular momentum of electron when radial momentum is given
Angular quantization number of electron in elliptical orbit
Energy of an electron in an elliptical orbit
Quantum number of electron in elliptical orbit
Radial momentum of an electron
Radial momentum of electron when angular momentum is given
Radial quantization number of electron in elliptical orbit
Total momentum of electrons in the elliptical orbit
Structure of atom
(9)
Electric charge
Kinetic Energy In Electron Volts.
Mass number
Mass of moving electron
Number of neutrons
Potential Energy In Electron Volts.
Specific charge
Total Energy In Electron Volts
Wave number of electromagnetic wave
Schrodinger Wave Equation
(24)
Angle between angular momentum and momentum along z-axis
Angle between orbital angular momentum and z-axis
Angular Momentum Using Quantum Number
Energy of an electron determined by principal quantum number
Exchange energy
Magnetic Moment
Magnetic quantum angular momentum
Magnetic quantum number when orbital angular momentum is given
Maximum number of electron in orbit of principal quantum number
Maximum number of electrons in sub-shell of magnetic quantum number
14 More formulas!
de-Broglie hypothesis
(13)
De-Brogile Wavelength
de-Broglie wavelength for an electron when potential is given
de-Broglie wavelength of charged particle when potential is given
De-Broglie wavelength of particle in circular orbit
De-Broglie's wavelength when velocity of particle is given
Einstein's mass-energy relation
Energy of a particle
Energy of particle when de-Broglie wavelength is given
Kinetic energy when de-Broglie wavelength is given
Number of revolutions of an electron
3 More formulas!
Analytical chemistry
Molecular Spectroscopy
Rotational Spectroscopy
(55)
Angular momentum in terms of kinetic energy
Angular momentum using moment of inertia
Angular velocity in terms of inertia and kinetic energy
Angular velocity of diatomic molecule
Angular velocity using angular momentum and inertia
Angular velocity when kinetic energy is given
Beta in terms of rotational level
Beta using rotational energy
Bond length
Bond length in terms of masses and radius 1
45 More formulas!
Rotational Energy
(3)
Rotational energy
Rotational energy using centrifugal distortion
Rotational energy using rotational constant
Raman Spectroscopy
(12)
Anti- Stokes scattering frequency
Electric field when polarizability is given
Energy 1 of vibrational level
Energy 2 of vibrational level
Frequency associated to transition
Incident frequency when Anti-stokes frequency is given
Incident frequency when Stokes frequency is given
Molecular dipole moment
Polarizability
Stokes scattering frequency
2 More formulas!
Vibrational spectroscopy
(36)
Anharmonic potential constant
Anharmonicity constant when dissociation energy is given
Anharmonicity constant when first overtone frequency is given
Anharmonicity constant when fundamental frequency is given
Anharmonicity constant when second overtone frequency is given
Dissociation energy in terms of vibrational wavenumber
Dissociation energy of potential
Dissociation energy of potential using zero point energy
Energy of Vibrational transitions
First overtone frequency
26 More formulas!
Chemical Kinetics
(47)
Activation energy for first order reaction
Activation energy for second order reaction
Activation energy for zero order reactions
Arrhenius constant for first order reaction
Arrhenius constant for second order reaction
Arrhenius constant for zero order reaction
Average time of completion for first order reaction
Average time of completion when half-time is given
Concentration of time at half-time for zero order reaction
Concentration of time of zero order reaction
37 More formulas!
Chemical Bonding
Covalent Bonding
(9)
Bond Angle between Bond pair and Lone pair of electrons in terms of p-character
Bond Angle between Bond pair and Lone pair of electrons in terms of s-character
Fraction of p-character when bond angle is given
Fraction of s-character when bond angle is given
Number of bonding electrons when Formal Charge is given
Number of non-bonding electrons when Formal Charge is given
Number of valence electrons when Formal Charge is given
Percentage of p-character when bond angle is given
Percentage of s-character when bond angle is given
Scales of Electronegativity
Ionic Bonding
Molecular Orbital Theory
Density of Gas
(2)
Density of Gas when pressure and temperature of gas are given
Density of Gas when volume and amount of gaseous substance are given
Equilibrium
(31)
Acid Ionization Constant Of Weak Acid
Basic Ionization Constant Of Weak Base
Buffer Capacity
Concentration of Hydronium ion in salt of weak acid and strong base
Concentration of Hydronium ion in Salt of Weak Acid and Weak Base
Concentration Of Hydronium ion In Weak Base And Strong Acid
Concentration Of Hydronium ion Using pH
Concentration of Hydronium ion Using pOH
Degree Of Hydrolysis In Salt Of Weak Acid And Strong Base
Degree of Hydrolysis in Salt of Weak Acid and Weak Base
21 More formulas!
Chemical equilibrium
(68)
Activation energy for backward reaction
Activation energy for forward reaction
Active mass
Arrhenius equation
Arrhenius equation for backward equation
Arrhenius equation for forward reaction
Backward reaction rate constant in terms of Arrhenius equation
Degree of dissociation for double reaction when equilibrium pressure is given
Degree of dissociation of reaction
Degree of dissociation when equilibrium pressure is given
58 More formulas!
Equilibrium constant
(10)
Backward reaction rate constant
Change in number of moles
Equilibrium concentration of substance A
Equilibrium concentration of substance B
Equilibrium concentration of substance C
Equilibrium concentration of substance D
Equilibrium constant
Forward reaction rate constant
Number of moles of gaseous products
Number of moles of gaseous reactants
0 More formulas!
Relation between vapour density and degree of dissociation
(35)
Degree of dissociation using concentration of reaction
Degree of dissociation using initial vapour density and vapour density at equilibrium
Degree of dissociation using total moles at equilibrium
Degree of dissociation using total moles at equilibrium and initial moles
Degree of dissociation when initial vapour density is given
Degree of dissociation when number of moles at equilibrium is given
Degree of dissociation when number of moles(n) is 2
Initial total moles
Initial total moles using degree of dissociation
Initial total moles using total moles at equilibrium and number of moles of reaction
25 More formulas!
Thermodynamics in chemical equilibrium
(3)
Equilibrium constant due to pressure when Gibbs energy is given
Gibbs free energy when equilibrium constant due to pressure is given
Temperature of reaction when equilibrium constant of pressure and Gibbs energy is given
Ionic equilibrium
Acidity and pH scale
(10)
Activity of hydrogen ion when pH is given
Concentration of hydrogen ion when pH is given
Concentration of hydroxyl ion when pOH is given
Dissociation constant of weak acid when pKa is given
Dissociation constant of weak base when pKb is given
pH when activity of hydrogen ion is given
pH when concentration of hydrogen ion is given
pKa when dissociation constant of weak acid is given
pKb when dissociation constant of weak base is given
pOH when concentration of hydroxyl ion is given
0 More formulas!
Buffer Solution
(8)
Concentration of acid in acidic buffer using Henderson's equation
Concentration of base in basic buffer using Henderson's equation
Concentration of salt in acidic buffer using Henderson's equation
Concentration of salt in basic buffer using Henderson's equation
pH of acidic buffer using Henderson's equation
pKa of acidic buffer using Henderson's equation
pKb of basic buffer using Henderson's equation
pOH of basic buffer using Henderson's equation
Ostwald Dilution Law
(20)
Concentration of anion when Ka and concentration of weak acid and hydrogen ion is given
Concentration of cation when Kb and concentration of weak base and hydroxyl ion is given
Concentration of hydrogen ion when Ka and concentration of weak acid and anion is given
Concentration of hydroxyl ion when Kb and concentration of weak base and cation is given
Concentration of the weak acid when dissociation constant (Ka) and concentration of ions is given
Concentration of the weak base when dissociation constant (Kb) and concentration of ions is given
Degree of dissociation (α) when Ka and initial conc. is given for condition α << 1
Degree of dissociation (α) when Ka and molar volume of weak acid is given for condition α << 1
Degree of dissociation (α) when Kb and initial conc. is given for condition α << 1
Degree of dissociation (α) when Kb and molar volume of weak base is given for condition α << 1
10 More formulas!
Salt Hydrolysis
Anionic Salt Hydrolysis
(6)
Concentration Of Hydronium ion In Weak Base And Strong Acid
Degree Of Hydrolysis In Salt Of Weak Acid And Strong Base
Hydrolysis Constant In Weak Acid And Strong Base
pH Of Salt Of Weak Acid And Strong Base
pKa of Salt of Weak acid and Strong base
pOH Of Salt Of Strong Base And Weak Acid
Cationic Salt Hydrolysis
(6)
Concentration of Hydronium ion in salt of weak acid and strong base
Degree of Hydrolysis In Salt of Weak Base and Strong Base
Hydrolysis Constant In Strong Acid And Weak Base
pH Of Salt Of Weak Base And Strong Base
pKb of Salt of Strong Acid and Weak base
pOH Of Salt Of Weak Base And Strong Base
Hydrolysis for weak acid and weak base
(7)
Concentration of Hydronium ion in Salt of Weak Acid and Weak Base
Degree of Hydrolysis in Salt of Weak Acid and Weak Base
Hydrolysis Constant in Weak Acid and Weak Base
pH of Salt of Weak Acid and Weak base
pKa of Salt of Weak Acid and Weak base
pKb of Salt of Weak Acid and Weak base
pOH of Salt of Weak Acid and Weak Base
Hydrolysis of cations or anions
(6)
Acid Ionization Constant Of Weak Acid
Basic Ionization Constant Of Weak Base
Constant of hydrolysis when ionic product of water and acid ionization const. of weak acid is given
Constant of hydrolysis when ionic product of water and basic ionization const. of weak base is given
Ionic product of water when constant of hydrolysis and acid ionization const. of weak acid is given
Ionic product of water when constant of hydrolysis and basic ionization const. of weak base is given
pH calculations of different types of solutions
(4)
pH of mixture of a strong acid and a strong base when solution is acidic in nature
pH of mixture of two strong acids
pOH of mixture of a strong acid and a strong base when solution is basic in nature
pOH of mixture of two strong bases
Electrochemistry
(24)
Conductance
Current Efficiency
Degree of dissociation
Electrical Energy of Electrochemical Cell
Electrode Potential (when gibbs free energy is given)
EMF of a due cell
Equilibrium Constant (when degree of dissociation is given)
Equivalent Conductance
Gibbs free energy change
Ionic Mobility
14 More formulas!
Mole Concept and Stoichiometry
(102)
Absolute density
Acidity when equivalent weight is given
Acidity when molarity and normality is given
Basicity when equivalent weight is given
Basicity when molarity and normality is given
Density of gas
Density of gas particle when vapour density is given
Density of hydrogen when vapour density is given
Density of solution using molarity of solution
Density of solution when molarity and molality is given
92 More formulas!
Molarity
(1)
Molarity in terms of normality and valency factor
Titration
Physical Chemistry
(13)
Boiling Point Elevation
Clausius Equation (dp/dT)
Molal Boiling Point Elevation Constant when Boiling Point Elevation is Given
Molal Boiling Point Elevation Constant when Ideal Gas Constant is Given
Molal freezing point constant when freezing point depression is given
Molal Heat of Vaporization when dp/dT is Given
Molal Liquid Volume when dp/dT is Given
Molality when Boiling Point Elevation and Constant are Given
Molar humidity when partial pressure is given
Molar Vapor Volume when dp/dT is Given
3 More formulas!
Periodic Table and Periodicity
Solution and Colligative properties
(15)
Density of solution when osmotic pressure is given
Equilibrium height when osmotic pressure is given
Moles of solute when osmotic pressure is given
Observed or Experimental value of colligative property when Van't Hoff factor is given
Osmotic Pressure for Non Electrolyte
Osmotic pressure in terms of number of moles and volume of solution
Osmotic pressure when concentration of two substances is given
Osmotic Pressure when density of solution is given
Osmotic pressure when volume and osmotic pressure of two substances is given
Temperature of gas when osmotic pressure is given
5 More formulas!
Depression in Freezing Point
(12)
Cryoscopic Constant in terms of Latent Heat of Fusion
Cryoscopic Constant in terms of Molar Enthalpy of Fusion
Cryoscopic Constant when Depression in Freezing Point is given
Depression in Freezing Point of the solvent
Freezing point of solvent when Cryoscopic Constant and Latent Heat of Fusion is given
Freezing point of solvent when Cryoscopic Constant and Molar Enthalpy of Fusion is given
Latent Heat of Fusion when Freezing point of solvent is given
Molality when Depression in Freezing Point is given
Molar Enthalpy of Fusion when Freezing point of solvent is given
Molar Mass of solvent when the Cryoscopic Constant is given
2 More formulas!
Elevation in Boiling Point
(12)
Boiling point of solvent when Ebullioscopic Constant and Latent Heat of Vaporization is given
Boiling point of solvent when Ebullioscopic Constant and Molar Enthalpy of Vaporization is given
Ebullioscopic Constant in terms of Latent Heat of Vaporization
Ebullioscopic Constant in terms of Molar Enthalpy of Vaporization
Ebullioscopic Constant when Elevation in Boiling Point is given
Elevation in Boiling Point of the Solvent
Latent Heat of Vaporization when Boiling point of solvent is given
Molality when Elevation in Boiling Point is given
Molar Enthalpy of Vaporization when Boiling point of solvent is given
Molar Mass of solvent when the Ebullioscopic Constant is given
2 More formulas!
Gibb's Phase Rule
(1)
Number of Components considering reactions and constraints
Multi Component System
(3)
Degrees of Freedom of Multi Component System
Number of Components of Multi Component System
Number of Phases of Multi Component System
One Component System
(2)
Degrees of Freedom of One Component System
Number of Phases of One Component System
Two Component System
(2)
Degrees of Freedom of Two Component System
Number of Phases of Two Component System
Immiscible Liquids
(18)
Molecular Mass of a liquid forming an immiscible mixture with Water
Molecular Mass of a liquid in a mixture of 2 immiscible liquids when weights of liquids are known
Partial Vapour Pressure of a immiscible liquid when partial pressure of other is known
Ratio of Molecular Mass of 2 immiscible liquids
Ratio of molecular masses of water to a liquid forming a immiscible mixture
Ratio of partial pressure of 2 immiscible liquids in terms their no. of moles
Ratio of partial vapour pressures of 2 Immiscible Liquids in terms of weight and molecular mass
Ratio of partial vapour pressures of water with a liquid forming a immiscible mixture
Ratio of weights of 2 immiscible liquids forming a mixture
Ratio of weights of water to a liquid forming a immiscible mixture
8 More formulas!
Osmotic Pressure
(12)
Density of solution when osmotic pressure is given
Equilibrium height when osmotic pressure is given
Moles of solute when osmotic pressure is given
Osmotic Pressure for Non Electrolyte
Osmotic pressure in terms of number of moles and volume of solution
Osmotic pressure when concentration of two substances is given
Osmotic Pressure when density of solution is given
Osmotic pressure when volume and concentration of two substances is given
Osmotic pressure when volume and osmotic pressure of two substances is given
Temperature of gas when osmotic pressure is given
2 More formulas!
Relative Lowering of Vapour Pressure
(19)
Molality using Relative Lowering Of Vapour Pressure
Mole Fraction of solute in terms of Vapour Pressure
Mole Fraction of solvent in terms of Vapour Pressure
Molecular Mass of solute using Relative Lowering Of Vapour Pressure
Molecular Mass of solvent using Relative Lowering Of Vapour Pressure
Moles of solute in dilute solution using Relative Lowering Of Vapour Pressure
Moles of solvent in dilute solution using Relative Lowering Of Vapour Pressure
Ostwald-Walker Dynamic Method for Relative Lowering Of Vapour Pressure
Relative Lowering Of Vapour Pressure
Relative Lowering Of Vapour Pressure in terms of Molecular mass and Molality
9 More formulas!
Van't Hoff Factor
(19)
Apparent Molar Mass when Van't Hoff factor is given
Degree of Association in terms of Van't Hoff Factor
Degree of Dissociation in terms of Van't Hoff Factor
Experimental osmotic pressure when Van't Hoff factor is given
Formula Mass when Van't Hoff factor is given
Observed molality when Van't Hoff factor is given
Observed number of particles when Van't Hoff factor is given
Observed or Experimental value of colligative property when Van't Hoff factor is given
Theoretical molality when Van't Hoff factor is given
Theoretical number of particles when Van't Hoff factor is given
9 More formulas!
Solid State Chemistry
(27)
Density of BCC lattice
Density Of FCC lattice
Density of Simple Cubic Unit Cell
Density of Unit Cell
Edge length of Body Centered Unit Cell
Edge Length of Face Centered Unit Cell
Edge length of Simple cubic unit cell
Linear Density
Linear Density for BCC [101] direction
Linear Density for BCC [110] direction
17 More formulas!
Surface Chemistry
BET adsorption isotherm
Freundlich adsorption isotherm
(7)
Adsorption constant if n=1
Adsorption constant k using Freundlich adsorption constant
mass of adsorbent if n=1
mass of adsorbent using Freundlich adsorption isotherm
mass of gas adsorbed if n=1
mass of the gas adsorbed
Pressure of gas if n=1
Langmuir Adsorption Isotherm
(4)
mass of adsorbent for Langmuir adsorption
Mass of gas adsorbed in grams for Langmuir adsorption
surface area of the adsorbent covered
surface area of the adsorbent covered at low pressure
kinetic theory of gases
(11)
Force by gas molecule on the wall of the box
Length of the box if force is given
Length of the rectangular box if time of collision is given
mass of a gas molecule in 1D if pressure is given
mass of the gas molecule if force is given
pressure exerted by a single gas molecule in 1D
speed of a gas molecule in 1D if pressure is given
speed of the gas molecule if force is given
speed of the particle in 3D box
time between collisions of particle and walls
1 More formulas!
Engineering
Chemical Engineering
Chemical Reaction Engineering
(12)
Batch Reactor: Number of Moles Remaining (of reactant A)
Concentration of the reactant in first-order reaction
Concentration of the reactant in second-order reaction (only one reactant)
Concentration of the reactant in zero-order reaction
Conversion of Reactant A (batch)
Conversion of Reactant A (flow)
Initial concentration of reactants in the feed
Molar Feed Rate of Reactants
Molar flow rate at which reactant A leaves the system
Space time of the reactor
2 More formulas!
Fluid Dynamics
(5)
Fanning friction factor
Head Loss due to friction
Height of capillary rise/fall
Hydrostatic Force on Curved Submerged Surface
Hydrostatic Force on Plane Submerged Surface
Heat Transfer
(22)
Critical Radius of Insulation of a Cylinder
Critical Radius of Insulation of a Sphere
Emmisive power of a body (Radiation)
Heat Exchanger Effectiveness
Heat Transfer in a Heat Exchanger using cold fluid properties
Heat Transfer in a Heat Exchanger using hot fluid properties
Heat Transfer in a Heat Exchanger using overall heat transfer coefficient
Heat Transfer Through Plane Wall or Surface
Log Mean Temperature Difference for CoCurrent Flow
Log Mean Temperature Difference for Counter Current Flow
12 More formulas!
Mechanical Operations
(6)
Energy Required to Crush Coarse Materials according to Bond's Law
Number of Particles
Sphericity of a cuboidal particle
Sphericity of a cylindrical particle
Sphericity of a particle
Total Surface Area of Particles
Mass Transfer Operations
(2)
Partial Pressure (using Raoult's Law)
Relative Volatility
Thermodynamics
Application of thermodynamics to flow processes
(23)
Actual change in enthalpy when Compressor efficiency and change in enthalpy (isentropic) is given
Actual work done when Compressor efficiency and isentropic shaft work is given
Actual work done when Turbine efficiency and isentropic shaft work is given
Change in enthalpy (isentropic) when Compressor efficiency and actual change in enthalpy is given
change in enthalpy (isentropic) when Turbine efficiency and actual change in enthalpy is given
Change in enthalpy in the turbine (expanders)
Change in enthalpy when Turbine efficiency and actual change in enthalpy (isentropic) is given
Compressor efficiency when actual and isentropic change in enthalpy is given
Compressor efficiency when actual and shaft work (isentropic) is given
Enthalpy for pumps when volume expansivity is given for a pump
13 More formulas!
Ideal Gas
(21)
Adiabatic Index
Change in Internal Energy of the system
Enthalpy of the system
Final Temperature in Adiabatic Process (using pressure)
Final Temperature in Adiabatic Process (using volume)
Heat Transfer in an Isobaric Process
Heat Transfer in an Isochoric Process
Heat transferred in isothermal process (using pressure)
Heat transferred in isothermal process (using volume)
Henry law constant when mole fraction and partial pressure of gas is given in Henry Law
11 More formulas!
Laws of thermodynamics, their applications and other basic concepts
(16)
Actual work when ideal and lost work are given
Actual work when thermodynamic efficiency is given and the condition is work is produced
Actual work when thermodynamic efficiency is given and the condition is work is required
Heat using the First Law of thermodynamics
Ideal work when lost and actual work are given
Ideal work when thermodynamic efficiency is given and the condition is work is produced
Ideal work when thermodynamic efficiency is given and the condition is work is required
Internal energy using the First Law of thermodynamics
Lost work when ideal and actual work are given
Rate of Actual work when rates of ideal and lost work are given
6 More formulas!
Phase Equilibrium
Vapor Liquid Equilibrium
(14)
Activity coefficient using Gamma/ phi formulation of VLE
Fugacity coefficient using Gamma/ phi formulation of VLE
Poynting factor
Pressure using saturated temperature in Antoine equation
Saturated pressure using Antoine equation
Saturated pressure using Gamma/ phi formulation of VLE
Saturated temperature using Antoine equation
Temperature when saturated pressure is given in Antoine equation
Total pressure for binary liquid system for dew/bubble point calculations with Modified Raoult's Law
Total pressure for binary liquid system for dew/bubble point calculations with Raoult's Law
4 More formulas!
Correlations for Liquid-phase activity coefficients
(8)
Activity coefficient of component 1 using Margules one parameter equation
Activity coefficient of component 1 using Margules two-parameter equation
Activity coefficient of component 1 using van Laar equation
Activity coefficient of component 2 using Margules one parameter equation
Activity coefficient of component 2 using Margules two-parameter equation
Activity coefficient of component 2 using van Laar equation
Excess Gibbs free energy using Margules two-parameter equation
Excess Gibbs free energy using van Laar equation
Fitting Activity Coefficient Models to VLE Data
(9)
Excess Gibbs free energy when activity coefficients and liquid mole fractions are given
Saturated pressure of comp. 1 when second virial coefficient and sat. vapour fugacity coefficient
Saturated pressure of comp. 2 when second virial coefficient and sat. vapour fugacity coefficient
Saturated vapour fugacity coefficient of comp. 1 when sat. pressure and second virial coefficient
Saturated vapour fugacity coefficient of comp. 2 when sat. pressure and second virial coefficient
Second virial coefficient of comp. 1 when sat. pressure and saturated vapour fugacity coefficient
Second virial coefficient of comp. 2 when saturated pressure and sat. vapour fugacity coefficient
Vapour fugacity coefficient of comp. 1 when sat. pressure and second virial coefficients
Vapour fugacity coefficient of comp. 2 when sat. pressure and second virial coefficients
Local Composition models
(10)
Activity coefficient for component 1 for infinite dilution using NRTL equation
Activity coefficient for component 1 for infinite dilution using Wilson equation
Activity coefficient for component 1 using NRTL equation
Activity coefficient for component 1 using Wilson equation
Activity coefficient for component 2 for infinite dilution using NRTL equation
Activity coefficient for component 2 for infinite dilution using Wilson equation
Activity coefficient for component 2 using NRTL equation
Activity coefficient for component 2 using Wilson equation
Excess Gibbs energy using NRTL equation
Excess Gibbs energy using Wilson equation
0 More formulas!
Raoult’s Law, Modified Raoult’s Law, and Henry’s Law in VLE
(13)
Activity coefficient using Modified Raoult's Law in VLE
Henry law constant using Henry Law in VLE
Liquid phase mole fraction using Henry Law in VLE
Liquid phase mole fraction using Modified Raoult's Law in VLE
Liquid phase mole fraction using Raoult's Law in VLE
Saturated pressure using Modified Raoult's Law in VLE
Saturated pressure using Raoult's Law in VLE
Total pressure using Henry Law in VLE
Total pressure using Modified Raoult's Law in VLE
Total pressure using Raoult's Law in VLE
3 More formulas!
K values for Gamma/Phi formulation, Raoult’s Law, Modified Raoult’s Law, and Henry’s Law
(13)
Activity coefficient of a component using K-value expression for Gamma/ phi formulation
Activity coefficient of a component using K-value expression for Modified Raoult's law
Fugacity coefficient of a component using K-value expression for Gamma/ phi formulation
K- value of a component using Gamma/ phi formulation
K- value or vapour-liquid distribution ratio of a component
K-value of a component using Modified Raoult's law
K-value of a component using Raoult's law
Pressure of a component using K-value expression for Modified Raoult's law
Pressure using K-value expression for Gamma/ phi formulation
Pressure using K-value expression for Raoult's law
3 More formulas!
Production of power from heat
(13)
Carnot Cycle of Heat Engine
Carnot Cycle of Heat Pump
Coefficient of Performance of Heat Pump given the heat in the cold and hot reservoir
Coefficient of Performance of Heat Pump given work and heat in the cold reservoir
Otto Cycle Efficiency
performance of heat pump
Ranking Cycle Efficiency
Real Heat Engine
Real Heat Pump
Thermal efficiency of a Carnot engine
3 More formulas!
Refrigeration and liquification
(6)
Carnot Cycle of Refrigerator
Coefficient of Performance of Refrigerator
Coefficient of Performance of Refrigerator given the heat in the cold and hot reservoir
Coefficient of Performance of Refrigerator given work and heat in the cold reservoir
Real Refrigerator
Refrigerator Work
Solution Thermodynamics
Excess properties
Fugacity and fugacity coefficient
(1)
Poynting factor
Fugacity and fugacity coefficient using Residual Gibbs energy
Ideal gas Mixture model
Ideal Solution model
Residual properties
Thermodynamic property relations
Volumetric properties of pure fluids
(17)
Compressibility Factor
Degree of freedom
Degree of Freedom When Equipartition Energy is Given
Degree of Freedom When Molar Internal Energy Of An Ideal Gas is Given
Isobaric work
Isothermal Compression Of An Ideal Gas
Isothermal Work Done by the gas
Isothermal work given pressure ratio
Isothermal work given temperature
Isothermal work given volume ratio
7 More formulas!
Equation of states
(21)
Acentric factor using B(0) and B(1) of Pitzer correlations for second virial coefficient
Acentric factor using Pitzer correlations for the compressibility factor
Acentric factor when saturated reduced pressure is given at reduced temperature 0.7
B(0) using Abbott equations
B(0) when Z(0) is given using Pitzer correlations for second virial coefficient
B(1) using Abbott equations
B(1) when Z(1) is given using Pitzer correlations for second virial coefficient
Compressibility factor using B(0) and B(1) of Pitzer correlations for second virial coefficient
Compressibility factor using Pitzer correlations for the compressibility factor
Compressibility factor when reduced second virial coefficient is given
11 More formulas!
Civil
Beams
Beam Moments
(14)
Bending Moment of a Cantilever Subject to UDL Over its Entire Span
Bending Moment of Cantilever Beam subjected to Point Load at Free End
Bending Moment of Overhanging Beam Subjected to a Concentrated Load at Free End
Bending Moment of Simply Supported Beams with Point Load at Centre
Bending Moment of Simply Supported Beams with Uniformly Distributed Load
Bending Moment Simply Supported Beam Subjected to a Concentrated Load
Fixed End Moment of a Fixed Beam carrying point load
Fixed End Moment of a Fixed Beam carrying Right Angled Triangular Load at Right Angled End A
Fixed End Moment of a Fixed Beam carrying three Equispaced Point Loads
Fixed End Moment of a Fixed Beam carrying Triangular Loading
4 More formulas!
Curved Beams
(3)
Bending Moment When Stress is Applied at Point y in a Curved Beam
Cross-Sectional Area When Stress is Applied at Point y in a Curved Beam
Stress at Point y for a Curved Beam
Combined Axial and Bending Loads
(4)
Axial Load when Maximum Stress For Short Beams is Given
Cross-Sectional Area when Maximum Stress For Short Beams is Given
Maximum Bending Moment when Maximum Stress For Short Beams is Given
Maximum Stress For Short Beams
Elastic Lateral Buckling of Beams
(5)
Absolute Value of Moment at Centerline of the Unbraced Beam Segment
Absolute Value of Moment at Quarter Point of the Unbraced Beam Segment
Absolute Value of Moment at Three-Quarter Point of the Unbraced Beam Segment
Critical Bending Coefficient
Critical Bending Moment in Non-Uniform Bending
Eccentric Loading
(6)
Cross-Sectional Area when Total Unit Stress in Eccentric Loading is Given
Eccentricity when Deflection in Eccentric Loading is Given
Moment of Inertia of Cross-Section when Total Unit Stress in Eccentric Loading is Given
Neutral Axis to Outermost Fiber Distance when Total Unit Stress in Eccentric Loading is Given
Total Unit Stress in Eccentric Loading
Total Unit Stress in Eccentric Loading when Radius of Gyration is Given
Rolling and Moving Loads
(10)
Deflection for Hollow Rectangle When Load in Middle
Deflection for Hollow Rectangle When Load is Distributed
Deflection for Solid Rectangle When Load in Middle
Deflection for Solid Rectangle When Load is Distributed
Greatest Safe Load for Solid Rectangle When Load is Distributed
Greatest Safe Load for Hollow Rectangle When Load in Middle
Greatest Safe Load for Hollow Rectangle When Load is Distributed
Greatest Safe Load for Solid Cylinder When Load in Middle
Greatest Safe Load for Solid Cylinder When Load is Distributed
Greatest Safe Load for Solid Rectangle When Load in Middle
0 More formulas!
Strain Energy in Structural Members
(19)
Bending Moment when Strain Energy in Bending is Given
Length over which Deformation Takes Place when Strain Energy in Bending is Given
Length over which Deformation Takes Place when Strain Energy in Shear is Given
Length over which Deformation Takes Place when Strain Energy in Torsion is Given
Modulus of Elasticity when Strain Energy in Bending is Given
Moment of Inertia when Strain Energy in Bending is Given
Polar Moment of Inertia when Strain Energy in Torsion is Given
Shear Area when Strain Energy in Shear is Given
Shear Load when Strain Energy in Shear is Given
Shear Modulus of Elasticity when Strain Energy in Shear is Given
9 More formulas!
Slope and Deflection
(5)
Maximum and Center Deflection of Cantilever Beam carrying Point Load at any point
Maximum and Center Deflection of Cantilever Beam carrying Point Load at Free End
Maximum and Center Deflection of Cantilever Beam with Couple Moment at Free End
Maximum and Center Deflection of Simply Supported Beam carrying Point Load at Center
Maximum and Center Deflection of Simply Supported Beam carrying UDL over its entire Length
Ultimate Strength of Continuous Beams
(2)
Absolute Value of Max Moment in the Unbraced Beam Segment
Condition for Maximum Moment in Interior Spans of Beams
Unsymmetrical Bending
Bridge and Suspension Cable
Allowable Stress Design for Bridge Columns
(2)
Allowable Stress when Slenderness Ratio is Equal to or Greater than Cc
Allowable Stress when Slenderness Ratio is Less than Cc
Additional Bridge Column Formulae
(2)
Allowable Unit Load for Bridges using Structural Carbon Steel
Ultimate Unit Load for Bridges using Structural Carbon Steel
Allowable Stress Design for Bridge Beams
(3)
Allowable Unit Stress in Bending
Moment Gradient Factor when Smaller and Larger Beam End Moment is Given
Steel Yield Strength when Allowable Unit Stress in Bending is Given
Allowable Stress Design for Shear in Bridges
(3)
Allowable Shear stress in Bridges
Shear Buckling Coefficient when Allowable Shear stress for Flexural Members in Bridges is Given
Steel Yield Strength when Allowable Shear stress for Flexural Members in Bridges
Bearing on Milled Surfaces
(6)
Allowable Bearing Stress for expansion rollers and rockers where diameter is from 635 mm to 3175 mm
Allowable Bearing Stress for expansion rollers and rockers where diameter is up to 635 mm
Diameter of Roller or Rocker for milled surface when Allowable Stress is Given for d < 635 mm
Diameter of Roller or Rocker for milled surface when Allowable Stress is Given for d > 635 mm
Steel Yield Strength for milled surface when allowable Bearing Stress for d < 635 mm is Given
Steel Yield Strength for milled surface when allowable Bearing Stress for d > 635 mm is Given
Bridge Fasteners
(2)
Allowable Bearing Stress for high strength bolts
Tensile Strength of connected part when Allowable Bearing Stress for bolts is Given
Composite Construction in Highway Bridges
Bending Stresses
(9)
Dead Load Moment when Stress in Steel for Shored Members is Given
Dead Load Moment when Stress in Steel for Unshored Members is Given
Live Load Moment when Stress in Steel for Shored Members is Given
Live Load Moment when Stress in Steel for Unshored Members is Given
Section Modulus of Steel Beam when Stress in Steel for Unshored Members is Given
Section modulus of transformed Composite Section when Stress in Steel for shored Members is Given
Section modulus of transformed Composite Section when Stress in Steel for Unshored Members is Given
Stress in Steel for Shored Members
Stress in Steel for Unshored Members
Shear Range
(12)
Allowable Horizontal Shear for Individual Connector for 100,000 cycles
Allowable Horizontal Shear for Individual Connector for 2 million cycles
Allowable Horizontal Shear for Individual Connector for 500,000 cycles
Allowable Horizontal Shear for Individual Connector for over 2 million cycles
Allowable Horizontal Shear for welded studs for 100,000 cycles
Allowable Horizontal Shear for welded studs for 2 million cycles
Allowable Horizontal Shear for welded studs for 500,000 cycles
Allowable Horizontal Shear for welded studs for over 2 million cycles
Horizontal Shear Range at the juncture of Slab and Beam
Moment of Inertia of Transformed Section when Horizontal Shear Range is Given
2 More formulas!
Cable Systems
(4)
Cable Tension when Natural frequency of each Cable is Given
Fundamental Vibration Mode when Natural frequency of Each Cable is Given
Natural frequency of each Cable
Span of Cable when Natural frequency of each Cable is Given
General Relations for Suspension Cables
Catenary
(5)
Catenary Length measured from the Low Point of the Simple Cable with a UDL
Catenary Length when Tension at any Point of the Simple Cable with a UDL is Given
Tension at any Point when Catenary Length of the Simple Cable with a UDL is Given
Tension at Midspan when Tension at any Point of the Simple Cable with a UDL is Given
UDL when Tension at any Point of the Simple Cable with a UDL is Given
Parabola
(3)
Tension at Midspan when Parabolic Equation for the Cable Slope is Given
UDL when Parabolic Equation for the Cable Slope is Given
UDL when Tension at Midspan for UDL on Parabolic Cable is Given
Supports at Different Levels
Supports at Same Level
(11)
Horizontal Component of Cable Tension for UDL
Length of cable between Supports
Maximum Reactions at Supports
Sag of Cable at midway between supports when Horizontal Component of Cable Tension for UDL is Given
Sag of Cable at midway between supports when Maximum Reactions at Supports is Given
Span Length when Horizontal Component of Cable Tension for UDL is Given
Span Length when Vertical Reaction at Supports is Given
UDL when Horizontal Component of Cable Tension for UDL is Given
UDL when Maximum Reactions at Supports is Given
UDL when Vertical Reaction at Supports is Given
1 More formulas!
Hybrid Bridge Girders
(1)
Multiplier for allowable stress when flange bending stress does not exceed the allowable stress
Load and Resistance Factor Design for Bridge Columns
(9)
Buckling Stress when Maximum Strength is Given
Buckling Stress when Q Factor is Greater Than 1
Buckling Stress when Q Factor is Less Than or Equal to 1
Column Gross Effective Area when Maximum Strength is Given
Maximum Strength for Compression Members
Q Factor
Steel Yield Strength when Buckling Stress for Q Factor Greater Than 1 is Given
Steel Yield Strength when Buckling Stress for Q Factor Less Than or Equal to 1 is Given
Steel Yield Strength when Q Factor is Given
Load Factor Design for Bridge Beams
(32)
Allowable Bearing Stresses on Pins for Buildings for LFD
Allowable Bearing Stresses on Pins not subject to rotation for Bridges for LFD
Allowable Bearing Stresses on Pins subject to rotation for Bridges for LFD
Area of Flange for Braced Non-Compact Section for LFD when Maximum Unbraced Length is Given
Depth of Section for Braced Non-Compact Section for LFD when Maximum Unbraced Length is Given
Depth of Section for Compact Section for LFD when Minimum Web Thickness is Given
Maximum bending strength for Symmetrical Flexural Braced Non-Compacted Section for LFD of Bridges
Maximum bending strength for Symmetrical Flexural Compact Section for LFD of Bridges
Maximum Unbraced Length for Symmetrical Flexural Braced Non-Compact Section for LFD of Bridges
Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges
22 More formulas!
Number of Connectors in Bridges
(18)
28-day Compressive Strength of Concrete when Force in Slab is Given
Area of Longitudinal Reinforcing when Force in Slab at Maximum Negative Moments is Given
Effective Concrete Area when Force in Slab is Given
Force in Slab at Maximum Negative Moments when Minimum Number of Connectors for Bridges is Given
Force in Slab at Maximum Negative Moments when Reinforcing Steel Yield Strength is Given
Force in Slab at Maximum Positive Moments when Minimum Number of Connectors for Bridges is Given
Force in Slab when Effective Concrete Area is Given
Force in Slab when Number of Connectors in Bridges is Given
Force in Slab when Total Area of Steel Section is Given
Minimum Number of Connectors for Bridges
8 More formulas!
Ultimate Shear Strength of Connectors in Bridges
(9)
28-day Compressive Strength of Concrete when Ultimate Shear Connector Strength for Channels is Given
28-day Compressive Strength when Ultimate Shear Connector Strength for Welded Studs is Given
Average Channel Flange Thickness when Ultimate Shear Connector Strength for Channels is Given
Channel Length when Ultimate Shear Connector Strength for Channels is Given
Channel Web Thickness when Ultimate Shear Connector Strength for Channels is Given
Diameter of connector when Ultimate Shear Connector Strength for Welded Studs is Given
Elastic Modulus of Concrete when Ultimate Shear Connector Strength for Welded Studs is Given
Ultimate Shear Connector Strength for Channels
Ultimate Shear Strength for Welded Studs
Rainwater Accumulation and Drainage on Bridges
(7)
Average Rainfall Intensity when Runoff Rate of Rainwater from a bridge during a Rainstorm is Given
Deck Width for handling the Rainwater Runoff to the Drain Scuppers
Drainage Area when Runoff Rate of Rainwater from a bridge during a Rainstorm is Given
Runoff Coefficient when Runoff Rate of Rainwater from a bridge during a Rainstorm is Given
Runoff Rate of Rainwater from a bridge during a Rainstorm
Shoulder Width when Deck Width for handling the Rainwater Runoff to the Drain Scuppers is Given
Traffic Lane when Deck Width for handling the Rainwater Runoff to the Drain Scuppers is Given
Shear Strength Design for Bridges
(2)
Shear Capacity for Flexural Members
Shear Capacity for Girders with Transverse Stiffeners
Stiffeners on Bridge Girders
(4)
Actual Stiffener Spacing when Minimum Moment of Inertia of a Transverse Stiffener is Given
Gross Cross-Sectional Area of Intermediate Stiffeners
Minimum Moment of Inertia of a Transverse Stiffener
Web Thickness when Minimum Moment of Inertia of a Transverse Stiffener is Given
Longitudinal Stiffeners
(2)
Moment of Inertia
Web Thickness when Moment of Inertia is Given
Suspension Cables
Catenary Cable Sag and Distance between Supports
(6)
Catenary Parameter for UDL on Catenary Parabolic Cable
Maximum Sag when Catenary Parameter for UDL on Catenary Parabolic Cable is Given
Span of Cable when Catenary Parameter for UDL on Catenary Parabolic Cable is Given
Tension at Supports when Catenary Parameter for UDL on Catenary Parabolic Cable is Given
Total Sag when Catenary Parameter for UDL on Catenary Parabolic Cable is Given
UDL when Catenary Parameter for UDL on Catenary Parabolic Cable is Given
Parabolic Cable Tension and Length
(12)
Allowable Stress for Compression Elements for Highway Bridges
Length of Cable for UDL on Parabolic Cable is Given
Maximum Sag when Length of Cable for UDL on Parabolic Cable is Given
Maximum Sag when Tension at Midspan for UDL on Parabolic Cable is Given
Parabolic Equation for the Cable Slope
Span of Cable when Length of Cable for UDL on Parabolic Cable is Given
Span of Cable when Tension at Midspan for UDL on Parabolic Cable is Given
Span of Cable when Tension at Supports for UDL on Parabolic Cable is Given
Tension at Midspan for UDL on Parabolic Cable
Tension at Midspan when Tension at Supports for UDL on Parabolic Cable is Given
2 More formulas!
Building and Structures
Allowable Stress Design for Building Columns
(5)
Allowable Compressive Stress when Slenderness Ratio is Less than Cc
Allowable Compressive Stress when Slenderness Ration is Greater than Cc
Effective Length Factor
Safety Factor for Allowable Compressive Stress
Slenderness Ratio Used for Separation
Allowable Stress Design for Building Beams
(9)
Allowable Stress when Area of Compression Flange is Solid and Not Less than Tension Flange
Allowable Stress when Simplifying Term is Between 0.2 and 1
Allowable Stress when Simplifying Term is Greater than 1
Maximum Fiber Stress in Bending for Laterally Supported Compact Beams and Girders
Maximum Fiber Stress in Bending for Laterally Supported Noncompact Beams and Girders
Maximum Unsupported Length of Compression Flange-1
Maximum Unsupported Length of Compression Flange-2
Modifier for Moment Gradient
Simplifying Term for Allowable Stress Equations
Bearing Plates
(12)
Actual Bearing Pressure Under Plate
Allowable Bearing Stress on Concrete when Full Area is Used for Support
Allowable Bearing Stress on Concrete when Less Than Full Area is Used for Support
Allowable Bending Stress When Plate Thickness is Given
Area Required by the Bearing Plate if the Plate Covers Less than Full Area of Concrete For Support
Area Required by the Bearing Plate When Full Concrete Area is Used for Support
Beam Reaction when Actual Bearing Pressure is Given
Beam Reaction when Area Required by Bearing Plat is Given
Minimum Bearing Length of Plate When Actual Bearing Pressure is Given
Minimum Width of Plate When Actual Bearing Pressure is Given
2 More formulas!
Bearing on Milled Surfaces
(3)
Allowable Bearing Stress for Milled Surface Including Bearing Stiffeners
Allowable Bearing Stress for Rollers and Rockers
Diameter of Roller or Rocker When Allowable Bearing Stress is Given
Column Base Plates
(10)
Allowable Bearing Pressure When Flange Thickness for H shaped Column is Given
Area Required by the Base Plate
Bearing Pressure When Plate Thickness is Given
Column Depth When Plate Length is Given
Column Flange Width When Plate Length is Given
Column Load if Area Required by the Base Plate is Given
Flange Thickness for H shaped Columns
Plate Length
Thickness of Plate
Thickness of Plate When Flange Thickness for H shaped Column is Given
0 More formulas!
Composite construction
(11)
Allowable stress in the flanges
Dead load moment when maximum stress in the bottom flange is given
Dead load moment when maximum unit stress in steel is given
Live load moment when maximum stress in the bottom flange is given
Live load moment when maximum unit stress in steel is given
Maximum unit stress in the steel
section modulus of steel beam when maximum unit stress in steel is given
Section modulus of transformed composite section when maximum stress in the bottom flange is given
Section modulus of transformed composite section when maximum unit stress in steel is given
The maximum stress in the bottom flange
1 More formulas!
Choosing the Most Economic Structural Steel
(19)
Cross Sectional Area1 when Material Cost Ratio is given
Cross Sectional Area2 when Material Cost Ratio is given
Material Cost Ratio
Material price p1 when Material Cost Ratio is given
Material price p2 when Material Cost Ratio is given
Relative cost for Designing Fabricated Plate Girders
Relative cost when Yield stress is given
Relative Material Cost ratio when Designed to Carry the Same Load
Relative Weight for Designing Fabricated Plate Girders
Relative Weight when Yield stresses given
9 More formulas!
Design of Stiffeners Under Loads
(11)
Column Web Depth Clear of Fillets
Column Yield Stress when Column Web Depth Clear of Fillets is given
Column Yield Stress when Column Web Depth Clear of Fillets is given
Column Yield Stress when Thickness of the Column Flange is given
Computed Force when Column Web Depth Clear of Fillets is given
Computed Force when Cross sectional area of Column Web Stiffeners is given
Computed Force when Thickness of the Column Flange is given
Cross sectional area of Column Web Stiffeners
Stiffener Yield Stress when Cross sectional area of Column Web Stiffeners is given
Thickness of Column Web when Column Web Depth Clear of Fillets is given
1 More formulas!
Fastners in Building
(2)
Allowable Bearing Stress on Projected Area of Fasteners
Tensile Strength of the Connected Part when Allowable Bearing Stress is given
Load and Resistance Factor Design for Shear in Buildings
(3)
Shear Capacity if Web Slenderness is between α and 1.25α
Shear Capacity if Web Slenderness is greater than 1.25α
Shear Capacity if Web Slenderness is Less Than α
Load and Resistance Factor Design for Building Columns
(4)
Critical Buckling Stress when Slenderness Parameter is Greater than 1.5
Critical Buckling Stress when Slenderness Parameter is Less than 1.5
Maximum Load on Axially Loaded Members
Slenderness Parameter
Load and Resistance Factor Design for Building Beams
(13)
Beam Buckling Factor 1
Beam Buckling Factor 2
Critical Elastic Moment
Critical Elastic Moment for Box Sections and Solid Bars
Limiting Buckling Moment
Limiting Laterally Unbraced Length for Full Plastic Bending Capacity for I and Channel Sections
Limiting Laterally Unbraced Length for Full Plastic Bending Capacity for Solid Bar and Box Beams
Limiting Laterally Unbraced Length for Inelastic Lateral Buckling
Limiting Laterally Unbraced Length for Inelastic Lateral Buckling for Box Beams
Maximum Laterally Unbraced Length for Plastic Analysis
3 More formulas!
Light weight Steel Construction
(2)
Allowable Design Strength
Nominal Strength if Allowable Design Strength is Given
Element Strength
(4)
Elastic Local Buckling Stress
Flat Width Ratio of Stiffened Element when Elastic Local Buckling Stress is Given
Flat Width Ratio of Stiffened Element when Moment of Inertia is Established
Minimum Allowable Moment of Inertia
Number of connectors required for building construction
(11)
Actual area of effective concrete flange when total horizontal shear is given
Area of steel beam when Total horizontal shear Vh is given
Maximum Moment in Span when Number of Shear Connectors are Given
Moment at Concentrated Load when Number of Shear Connectors are Given
Number of Shear Connectors Between M max and Zero Moment when Number of Shear Connectors are Given
Specified compressive strength of concrete when total horizontal shear is given
The number of shear connectors
The total horizontal shear
Total horizontal shear Vh
Total number of connectors to resist total horizontal shear
1 More formulas!
Plate Girders in Buildings
(9)
Allowable Bending Stress in Compression Flange
Allowable Shear Stress with Tension Field Action
Allowable Shear Stress without Tension Field Action
Area of Flange When Plate Girder Stress Reduction Factor is Given
Area of Web When Plate Girder Stress Reduction Factor is Given
Depth to Thickness Ratio of Girder With Transverse Stiffeners
Hybrid Girder Factor
Maximum depth to thickness Ratio for Unstiffened Web
Plate Girder Stress Reduction Factor
Ponding Considerations in Building
(7)
Capacity Spectrum
Collapse Prevention Level
Length of Primary Member when Collapse Prevention Level is given
Length of Secondary Member when Capacity Spectrum is given
length of secondary member when Collapse Prevention Level is given
Moment of Inertia of Primary Member when Collapse Prevention Level is given
Moment of Inertia of Secondary Member when Capacity Spectrum is given
Roof Live Loads
(3)
Roof Live Load
Roof Live Load when tributary area lies in range 200 to 600 square feet
tributary area when roof live load is known
Snow Loads
(9)
Ground Snow Load When Roof Snow Load is Known
ground snow load when roof type is known
Importance Factor for End Use When Roof Snow Load is Known
importance factor when roof type is known
Roof Snow Load
Roof Snow Load When Roof Type is Known
roof type when roof snow load is known
Thermal Effects Factor When Roof Snow Load is Known
Wind Exposure Factor When Roof Snow Load is Known
Seismic Loads
(21)
building height for steel eccentrically braced frames when fundamental period is known
building height for other buildings when fundamental period is known
building height for reinforced concrete frames when fundamental period is known
building height for steel frames when fundamental period is known
building height for steel frames when fundamental period is known
fundamental period for reinforced concrete frames
fundamental period for other buildings
Fundamental Period for Steel Eccentrically Braced Frames
fundamental period for steel frames
fundamental period when seismic response coefficient is given
11 More formulas!
Wind Loads
(16)
Basic Wind when Velocity Pressure is Known
equivalent static design wind pressure
external pressure coefficient as given by ASCE 7
gust effect factor as given by ASCE 7
gust response factor when wind pressure is known
importance factor when velocity pressure is known
internal pressure coefficient as given by ASCE 7
pressure coefficient when wind pressure is known
topographic factor when velocity pressure is known
velocity exposure coefficient when velocity pressure is known
6 More formulas!
Stresses in Thin Shells
(7)
Central Shear When Shearing Stress is Given
Distance from Middle Surface When Normal Shearing Stress is Given
Distance from Middle Surface When Normal Stress is Given
Normal Shearing Stresses
Normal Stress
Shearing Stresses on Shells
Twisting Moments When Shearing Stress is Given
Webs Under Concentrated Loads
(17)
Clear Distance From Flanges When Concentrated Load is Given With Stiffeners
Clear Distance From Flanges When Web to Flange is Less than 1.7
Concentrated Load if slenderness of Web to Flange is Less than 1.7
Concentrated load when it is Applied at a Distance at least d/2
Concentrated load when it is Applied at a Distance less than d/2
Concentrated Load when Stiffeners are Provided
Concentrated Load when Stress is Given
Length of Bearing when Load is Applied at Distance less than d/2
Length of Bearing when Load is Applied at least at a Distance d/2
Length of Bearing when Stress is Given
7 More formulas!
Columns
Allowable Stress Design
(6)
Allowable Bearing Pressure when Area of Lowest Column of a Structure is Given
Allowable Bearing Pressure when Full Area of Support is Occupied by Base Plate
Area of foundation of the Lowest Column of a Structure
Base Plate Thickness
Equivalent Cantilever Dimension
Load when Area of Lowest Column of a Structure is Given
Allowable Design Loads for Aluminium Columns
(5)
Allowable Compressive Stress for Aluminium Columns
Allowable Compressive Stress for Aluminium Columns when Column Yield Stress is Given
Length of Column when Allowable Compressive Stress for Aluminium Columns is Given
Radius of Gyration of Column when Allowable Compressive Stress for Aluminium Columns is Given
Transition from Long to Short Column Range
Axially Loaded Steel Columns Design
(5)
Allowable Compression Stress when Slenderness Ratio is Greater than Cc
Allowable Compression Stress when Slenderness Ratio is less than Cc
LRFD Design Strength of Member
LRFD Strength for a Compression Member
Slenderness Ratio that Demarcates Between Inelastic from Elastic Buckling
Columns of Special Materials
(5)
Critical Slenderness Ratio for Aluminium Columns
Critical Slenderness Ratio for Cast Iron Columns
Ultimate Load per Area for Aluminium Columns
Ultimate Load per Area for Aluminium Columns
Ultimate Load per Area for Cast Iron Columns
Column Base Plate Design
(11)
Area of the Base Plate when Nominal Bearing Strength is Given
Area of the Supporting Concrete when Nominal Bearing Strength is Given
Base Plate Thickness when Projection of Base Plate Beyond Flange and Perpendicular to Web is Given
Base Plate Thickness when Projection of Base Plate Beyond the Flange and Parallel to Web is Given
Factored Load when Base Plate Area is Given
Nominal Bearing Strength of the Concrete
Projection of Base Plate Beyond the Flange and Parallel to Web
Projection of Base Plate Beyond the Flange and Perpendicular to Web
Required Area of a Base Plate for a Factored Load
Specified Compressive Strength of Concrete when Nominal Bearing Strength is Given
1 More formulas!
Composite Columns
(4)
Design Strength of an Axially Loaded Composite Column
Design Strength of Concrete for Direct Bearing
Gross Area of Steel Core when Design Strength of Axially Loaded Composite Column is Given
Loaded Area when Design Strength of Concrete for Direct Bearing is Given
Eccentric Loads on Columns
(13)
Length of a Rectangular Section Under Compression
Maximum Stress For a Circular Cross Section
Maximum Stress For a Circular Section Under Compression
Maximum Stress For a Rectangular Cross Section
Maximum Stress For a Rectangular Section Under Compression
Radius of the Kern for a Circular Ring
Radius of the Kern for a Hollow Square
Theoretical Maximum Stress for ANC Code 2017ST Aluminium
Theoretical Maximum Stress for ANC Code Alloy Steel Tubing
Theoretical Maximum Stress for ANC Code Spruce
3 More formulas!
Elastic Flexural Buckling of Columns
(12)
Axial Buckling Load for a Warped Section
Critical Buckling Load for Pin Ended Columns
Cross-Sectional Area when Axial Buckling Load for a Warped Section is Given
Cross-Sectional Area when Critical Buckling Load for Pin Ended Columns is Given
Cross-Sectional Area when Elastic Critical Buckling Load is Given
Cross-Sectional Area when Torsional Buckling Load for Pin Ended Columns is Given
Elastic Critical Buckling Load
Polar Moment of Inertia for Pin Ended Columns
Polar Moment of Inertia when Axial Buckling Load for a Warped Section is Given
Radius of Gyration of Column when Elastic Critical Buckling Load is Given
2 More formulas!
Long Columns
(2)
Euler's Formula for Critical Buckling Load
Euler's Formula for Critical Buckling Load when Area is Given
Short Columns
(4)
Smallest Moment of Inertia Allowable at Worst Section for Cast Iron
Smallest Moment of Inertia Allowable at Worst Section for Low Carbon Steel
Smallest Moment of Inertia Allowable at Worst Section for Medium Carbon Steel
Smallest Moment of Inertia Allowable at Worst Section for Wrought Iron
Ultimate Strength Design of Concrete Columns
(19)
28-day Concrete Compressive Strength when Column Ultimate Strength is Given
Axial-Load Capacity of Short Rectangular Members
Balanced Moment when Load and Eccentricity is Given
Balanced Moment when Φ is Given
Column Ultimate Strength with Zero Eccentricity of Load
Compressive Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given
Eccentricity for Balanced Condition for Short, Circular Members
Eccentricity of Slender Columns
Magnified Moment when Eccentricity of Slender Columns is Given
Tensile Stress in Steel when Axial-Load Capacity of Short Rectangular Members is Given
9 More formulas!
Concrete
Beams, Columns and Other Members Design Methods
Beams
Beams with Tensile and Compressive Reinforcing
(4)
Bending Moment when Cross-Sectional Area of Compressive Reinforcing is Given
Bending Moment when Total Cross-Sectional Area of Tensile Reinforcing is Given
Cross-Sectional Area of Compressive Reinforcing
Total Cross-Sectional Area of Tensile Reinforcing
Bond and Anchorage for Reinforcing Bars
(4)
Beam Effective Depth when Bond Stress on Bar Surface is Given
Bond Stress on Bar Surface
Tensile Reinforcing Bars Perimeters Sum when Bond Stress on Bar Surface is Given
Total Shear when Bond Stress on Bar Surface is Given
Checking Stresses in Beams
(13)
Distance from Neutral Axis to Compressive Reinforcing Steel when Unit Stress is Given
Distance from Neutral Axis to Face of Concrete when Unit Stress is Given
Distance from Neutral Axis to Tensile Reinforcing Steel when Unit Stress is Given
Moment of Inertia of Transformed Beam Section
Moment of Inertia when Unit Stress in Compressive Reinforcing Steel is Given
Moment of Inertia when Unit Stress in Extreme Fiber of Concrete is Given
Moment of Inertia when Unit Stress in Tensile Reinforcing Steel is Given
Total Bending Moment when Unit Stress in Compressive Reinforcing Steel is Given
Total Bending Moment when Unit Stress in Extreme Fiber of Concrete is Given
Total Bending Moment when Unit Stress in Tensile Reinforcing Steel is Given
3 More formulas!
Rectangular Beams with Tensile Reinforcing Only
(9)
Bending Moment when Stress in Concrete is Given
Depth of Beam when Stress in Concrete is Given
Depth of Heavy Beams and Girders
Depth of Light Beams
Depth of Roof and Floor Slabs
Stress in Concrete
Stress in Steel
Stress in Steel When Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio is Given
Width of Beam when Stress in Concrete is Given
Shear and Diagonal Tension in Beams
(9)
Cross-Sectional Area of Web Reinforcement
Effective Depth of Beam when Shearing Unit Stress in a Reinforced Concrete Beam is Given
Effective Depth when Cross-Sectional Area of Web Reinforcement is Given
Shear Carried by Concrete when Cross-Sectional Area of Web Reinforcement is Given
Shearing Unit Stress in a Reinforced Concrete Beam
Stirrups Spacing when Cross-Sectional Area of Web Reinforcement is Given
Total Shear when Cross-Sectional Area of Web Reinforcement is Given
Total Shear when Shearing Unit Stress in a Reinforced Concrete Beam is Given
Width of Beam when Shearing Unit Stress in a Reinforced Concrete Beam is Given
Columns
(6)
Allowable Stress in Vertical Concrete Reinforcing when Total Allowable Axial Load is Given
Concrete Compressive Strength when Total Allowable Axial Load is Given
Gross Cross-Sectional Area of Column when Total Allowable Axial Load is Given
Spiral Reinforcement Yield Strength when Spiral Volume to Concrete Core Volume Ratio is Given
Spiral Volume to Concrete-Core Volume Ratio
Total Allowable Axial Load for Short Columns
Combined Bending and Compression
(13)
Axial Load at Balanced Condition
Axial Load for Spiral Columns
Axial Load for Tied Columns
Axial Moment at Balanced Condition
Circle Diameter when Axial Load for Spiral Columns is Given
Circle Diameter when Maximum Permissible Eccentricity for Spiral Columns is Given
Column Diameter when Maximum Permissible Eccentricity for Spiral Columns is Given
Longitudinal Reinforcement Area when Axial Load for Spiral Columns is Given
Maximum Permissible Eccentricity for Spiral Columns
Maximum Permissible Eccentricity for Tied Columns
3 More formulas!
Long Columns
(6)
Load Reduction Factor when the Ends of the Column are Fixed
Load Reduction Factor when the Member is Bent in a Single Curvature
Radius of Gyration for Fixed End Columns when Load Reduction Factor is Given
Radius of Gyration for Single Curvature Bent Member when Load Reduction Factor is Given
Unsupported Column Length for Fixed End Columns when Load Reduction Factor is Given
Unsupported Column Length for Single Curvature Bent Member when Load Reduction Factor is Given
Short Columns with Ties
(2)
Allowable Bond Stress for Horizontal Tension Bars of Sizes and Deformations Conforming to ASTM A 408
Allowable Bond Stress for Other Tension Bars of Sizes and Deformations Conforming to ASTM A 408
Braced and Unbraced Frames
Load Bearing Walls
(3)
28-Day Concrete Compressive Strength when Axial Capacity of Wall is Given
Axial Capacity of Wall
Wall Section Gross Area when Axial Capacity of Wall is Given
Continuous Beams and One Way Slabs
(10)
Negative Moment at Exterior Face of First Interior Support for More Than Two Spans
Negative Moment at Exterior Face of First Interior Support for Two Spans
Negative Moment at Interior Faces of Exterior Support where Support is a Column
Negative Moment at Interior Faces of Exterior Supports where Support is a Spandrel Beam
Negative Moment at Other Faces of Interior Supports
Positive Moment for End Spans if Discontinuous End is Integral with Support
Positive Moment for End Spans if Discontinuous End is Unrestrained
Positive Moment for Interior Spans
Shear Force at All Other Supports
Shear Force in End Members at First Interior Support
0 More formulas!
Crack Control of Flexural Members
(2)
Equation for Crack Control Specific Limits
Stress Calculated in Crack Control
Column Moments
(4)
Design Shear when Shear Friction Reinforcement Area is Given
Eccentricity of Shear
Reinforcement Yield Strength when Shear Friction Reinforcement Area is Given
Shear Friction Reinforcement Area
Concrete Gravity Retaining Walls
(7)
Earth Thrust Horizontal Component when Sum of Righting Moments is Given
Overturning Moment
Pressure P1 when Resultant is at Middle Third Edge
Pressure P1 when the Resultant is within the Middle Third and Width of Base is Given
Pressure P2 when the Resultant is within the Middle Third and Width of Base is Given
Pressure when Resultant is Outside Middle Third
Retaining Wall Righting Moment
Cantilever Retaining Walls
(3)
Counterfort Shear Unit Stress on a Horizontal Section
Shear Force on the Section
Shear Force on the Section for a Vertical Wall Face
Deflection Computations and Concrete Beams Criteria
(4)
Cracking Moment for Reinforced Concrete Beams
Distance From the Centroidal Axis when Cracking Moment is Given
Modulus of Rupture of Concrete
Moment of Inertia of Gross Concrete Section when Cracking Moment is Given
Flat Slab Construction
(1)
Maximum Slab Thickness
Flat Plate Construction
(6)
Clear Span in Direction Moments when Total Static Design Moment is Given
Concrete Column Elasticity Modulus when Flexural Stiffness is Given
Moment of Inertia about Centroidal Axis when Flexural Stiffness is Given
Strip Width when Total Static Design Moment is Given
Total Static Design Moment in a Strip
Uniform Design Load per Unit of Slab Area when Total Static Design Moment is Given
Job Mix Concrete Volume
(3)
Absolute Volume of the Component
Specific Gravity of the Material when Absolute Volume of the Component is Given
Weight of the Material when Absolute Volume of the Component is Given
Modulus of Elasticity of Concrete
(5)
Modulus of Elasticity of Concrete in SI Units
Modulus of Elasticity of Concrete in USCS Units
Modulus of Elasticity of Normal Weight and Density Concrete in SI Units
Modulus of Elasticity of Normal Weight and Density Concrete in USCS Units
Youngs modulus of concrete
Properties in the Hardened State
(5)
28-Day Concrete Compressive Strength
28-Day Concrete Compressive Strength when Water Cement Ratio is Given
Modulus of Elasticity
Modulus of Elasticity for Normal Weight Concrete
Water Cement Ratio when 28-Day Concrete Compressive Strength is Given
Required Strength
(6)
Basic Load Effect when Ultimate Strength is Given for Applied Wind Loads
Basic Load Effect when Ultimate Strength is Given for Unapplied Wind and Earthquake Loads
Live Load Effect when Ultimate Strength is Given for Unapplied Wind and Earthquake Loads
Ultimate Strength when Wind and Earthquake Loads are not Applied
Ultimate Strength when Wind Loads are Applied
Wind Load Effect when Ultimate Strength is Given for Applied Wind Loads
Shear in Slabs
(2)
Concrete Shear Strength at Critical Sections
Equation for Punching Shear Design
Spirals
(3)
28-Day Concrete Compressive Strength when Volume of Spiral Steel to Concrete Core Ratio is Given
Spiral Steel Yield Strength when Volume of Spiral Steel to Concrete Core Ratio is Given
Volume of Spiral Steel to Volume of Concrete Core Ratio
Shear Walls
(7)
Concrete Strength when Shear Force is Given
Maximum Shear Strength
Minimum Horizontal Reinforcement
Nominal Shear Stress
Total Design Shear Force when Nominal Shear Stress is Given
Wall Horizontal Length when Nominal Shear Stress is Given
Wall Overall Thickness when Nominal Shear Stress is Given
Tensile Strength of Concrete
(2)
Tensile Strength of Normal Weight and Density Concrete in SI Units
Tensile Strength of Normal Weight and Density Concrete in USCS Units
Tension Development Lengths
(7)
Area of Bar when Basic Development Length is Given
Bar Steel Yield Strength when Basic Development Length for No 14 Bars is Given
Bar Steel Yield Strength when Basic Development Length for No 18 Bars is Given
Bar Steel Yield Strength when Basic Development Length is Given
Basic Development Length for Bars and Wire in Tension
Basic Development Length for No 14 Bars
Basic Development Length for No 18 Bars
Ultimate Strength Design of Tension Reinforced Rectangular Beams
(1)
Distance from Extreme Compression Surface to Neutral Axis in Compression Failure
Development of Tensile Reinforcement
(4)
Applied Shear at Section when Development Length for Simple Support is Given
Computed Flexural Strength when Development Length for Simple Support is Given
Development Length for Simple Support
Embedment Length Beyond Inflection Point when Development Length for Simple Support is Given
Hooks on Bars
(3)
28-Day Concrete Compressive Strength when Development Length for a Hooked Bar is Given
Bar Diameter when Development Length for a Hooked Bar is Given
Development Length for a Hooked Bar
Moment Capacity
(2)
Bending-Moment Capacity of Ultimate Strength when Area of Tension Reinforcement is Given
Bending-Moment Capacity of Ultimate Strength when Beam Width is Given
Shear Reinforcement
(13)
Area of Steel Required in Vertical Stirrups
Nominal Reinforcement Shear Strength when Area of Steel in Vertical Stirrups is Given
Nominal Reinforcement Shear Strength when Stirrup Area with Support Angle is Given
Nominal Reinforcement Shear Strength when Stirrups Area for Inclined Stirrups is Given
Nominal Shear Strength of the Concrete
Nominal Shear Strength Provided by Reinforcement
Shear Reinforcement Yield Strength when Stirrup Area with Support Angle is Given
Spacing when Area of Steel in Vertical Stirrups is Given
Stirrup Area when Stirrup Spacing for Practical Design is Given
Stirrup Area when Support Angle is Given
3 More formulas!
Ultimate Strength Design of Rectangular Beams with Compression Bars
(2)
Bending Moment Capacity of Rectangular Beam
Depth of Equivalent Rectangular Compressive Stress Distribution
Ultimate Strength Design of I and T Beams
(5)
Depth when the Neutral Axis Lies in the Flange
Distance when the Neutral Axis Lies in the Flange
Equivalent Rectangular Compressive Stress Distribution Depth
Maximum Ultimate Moment when Neutral Axis Lies in Web
ω when the Neutral Axis Lies in the Flange
Ultimate Strength Design for Torsion
(6)
Area of One Leg of a Closed Stirrup when Shear Reinforcement Area is Given
Max Concrete Torsion
Max Ultimate Torsion for Torsion Effects
Maximum Allowable Torsion
Shear Reinforcement Area
Spacing of Closed Stirrups for Torsion
Water Cementitious Materials Ratio
(3)
Water Cementitious Ratio
Weight of Cementitious Materials in Batch when Water Cementitious Ratio is Given
Weight of Mixing Water in Batch when Water Cementitious Ratio is Given
Working Stress Design of Tension Reinforced Rectangular Beams
(8)
Area of Tension Reinforcement when Steel Ratio is Given
Beam Width when Steel Ratio is Given
Compressive Stress in Extreme Concrete Surface
Distance between Centroid of Compression and Centroid of Tension
Distance from Extreme Compression to Centroid when Steel Ratio is Given
Modular Ratio
Steel Ratio
Stress in Steel
Allowable Bending Moment
(5)
Moment Resistance of Concrete when Compressive Stress is Given
Moment Resistance of Concrete when Kc is Given
Moment Resistance of Steel when Ks is Given
Moment Resistance of Steel when Steel Ratio is Given
Moment Resistance of Steel when Stress and Area are Given
Allowable Shear
(14)
Allowable Stress in Stirrup Steel when Area in Legs of a Vertical Stirrup is Given
Area Required in Legs of a Vertical Stirrup
Beam Width when Nominal Unit Shear Stress is Given
Distance from Extreme Compression to Centroid when Area in Legs of a Vertical Stirrup is Given
Distance from Extreme Compression to Centroid when Nominal Unit Shear Stress is Given
Excess Shear when Area in Legs of a Vertical Stirrup is Given
Excess Shear when Stirrup Leg Area is Given for Group of Bars Bent up Different Distances
Excess Shear when Vertical Stirrup Leg Area is Given for Single Bar Bent at Angle α
Nominal Unit Shear Stress
Shear when Nominal Unit Shear Stress is Given
4 More formulas!
Working Stress Design of Rectangular Beams with Compression Bars
(18)
Bending Moment when Moment Resisting Capacity of Compressive Steel and Concrete is Given
Equation Based on Linear Variation of Stress and Strain with Distance
Force Acting on Compressive Steel
Force Acting on Tensile Steel
Moment Resistance in Compression
Moment Resistance of Tensile Steel when Area is Given
Moment Resistance of Tensile Steel when Force is Given
Moment Resisting Capacity of Compressive Steel
Moment Resisting Capacity of Compressive Steel when Stress and Area are Given
Moment Resisting Capacity of Concrete
8 More formulas!
Working Stress Design of I and T Beams
(8)
Distance from Extreme Compression Surface to Neutral Axis
Moment Resistance of Concrete when Compressive Force is Given
Moment Resistance of Concrete when Flange Thickness is Given
Moment Resistance of Concrete when Stress in Concrete is Given
Moment Resistance of Steel
Moment Resistance of Steel when Flange Thickness is Given
Total Compressive Force when Area and Tensile Steel Stress is Given
Total Compressive Force when Concrete Stress is Given
Working Stress Design for Torsion
(2)
Max Torsion due to Service Load for Torsion Effects
Spacing of Closed Stirrups for Torsion
Wall Footings
(3)
Maximum Moment for Symmetrical Concrete Wall Footing
Tensile Bending Stress at Bottom when Footing is Deep
Uniform Pressure on Soil when Maximum Moment is Given
Environmental Engineering
Determining storm water flow
(4)
Average rainfall rate when stormwater is given
Coefficient of runoff when stormwater is given
Drainage area when stormwater is given
Stormwater Flow
Design of a complete mix activated sludge reactor
(63)
Average daily influent flow rate when hydraulic retention time is given
Average Daily Influent Flow Rate When Net Waste Activated Sludge is Given
Average daily influent flow rate when organic loading is given
Average Daily Influent Flow Rate when RAS Pumping Rate from Aeration Tank is Given
Average Daily Influent Flow Rate when Recirculation Ratio is Given
Average daily influent flow rate when the volume of the reactor is given
Average daily influent flow rate when theoretical oxygen requirement is given
Concentration of Sludge in Return Line when RAS Pumping Rate from Aeration Tank is Given
Concentration of Sludge in Return Line when Wasting Rate from Return Line is Given
Concentration of Solids in Effluent When Wasting Rate from Return Line is Given
53 More formulas!
Design of a Circular Settling Tank
(18)
Actual Solid Loading Rate of Circular Settling Tanks
Assumed Solid Loading Rate of Circular Settling Tanks
Average Daily Load when Peak Discharge in Circular Settling Tanks is Given
Design Surface Loading Rate when Surface Area of Circular Settling Tank is Given
Influent Flow Rate when Return Activated Sludge Flow Rate is Given
Maximum Solids Entering the Clarifier
Maximum Solids when Solid Loading Rate is Given
Mixed Liquor Suspended Solids in Aeration Tank when Maximum Solids is Given
Peak Discharge in Circular Settling Tanks
Peak Discharge when Maximum Solids Entering the Clarifier is Given
8 More formulas!
Design of a Solid Bowl Centrifuge for Sludge Dewatering
(33)
Bowl Radius when Centrifugal Acceleration Force is Given
Cake Density when Volume of Wet Cake is Given
Centrifugal Acceleration Force in Centrifuge
Dewatered Sludge or Cake Discharge Rate
Digested Sludge when Sludge Feed Rate for Dewatering Facility is Given
Dry Cake Rate when Wet Cake Discharge Rate is Given
Dry Sludge Feed when Polymer Feed Rate of Dry Polymer is Given
Operation Time when Sludge Feed Rate for Dewatering Facility is Given
Percent Cake Solids when Percent Solids Recovery is Given
Percent Cake Solids when Wet Cake Discharge Rate is Given
23 More formulas!
Design of Rapid Mix Basin and Flocculation Basin
(18)
Dynamic Viscosity when Mean Velocity Gradient is Given
Dynamic Viscosity when Power Requirement for Flocculation is Given
Dynamic Viscosity when Power Requirement for Rapid Mixing Operations is Given
Flow Rate of Secondary Effluent when Volume of the Flocculation Basin is Given
Hydraulic Retention Time when Volume of Rapid Mix Basin is Given
Mean Velocity Gradient when Power Requirement for Flocculation is Given
Mean Velocity Gradient when Power Requirement for Rapid Mixing Operations is Given
Mean Velocity Gradient when Power Requirement is Given
Power Requirement for Flocculation in Direct Filtration Process
Power Requirement for Rapid Mixing Operations in Wastewater Treatment
8 More formulas!
Design of an Aerobic Digester
(19)
Density of air when Volume of Air Required is Given
Density of Water when Volume of Digested Sludge is Given
Digester Total Suspended Solids when Volume of Aerobic Digester is Given
Influent Average Flow Rate when Volume of Aerobic Digester is Given
Influent Suspended Solids when Volume of Aerobic Digester is Given
Initial Weight of Oxygen when Weight of Oxygen Required is Given
Percent Solids when Volume of Digested Sludge is Given
Reaction Rate Constant when Volume of Aerobic Digester is Given
Solids Retention Time when Volume of Aerobic Digester is Given
Specific Gravity of Digested Sludge when Volume of Digested Sludge is Given
9 More formulas!
Design of trickling filter using NRC equations
(24)
Area when hydraulic loading is given
BOD Loading for First Stage Filter
BOD Loading for First Stage Filter when BOD Loading for Second Filter Stage is Given
BOD Loading for Second Stage Filter
BOD Loading to Filter when Efficiency of First Filter Stage is Given
Efficiency of First Filter Stage
Efficiency of first filter stage when overall efficiency is given
Efficiency of First Filter when BOD Loading for Second Filter is Given
Efficiency of second filter stage when overall efficiency is given
Effluent BOD when overall efficiency of two-stage trickling filter is given
14 More formulas!
Design of an Anaerobic Digester
(20)
BOD In when Percent Stabilization is Given
BOD In when Quantity of Volatile Solids is Given
BOD In when Volume of Methane Gas Produced is Given
BOD Out when Percent Stabilization is Given
BOD Out when Quantity of Volatile Solids is Given
BOD Out when Volume of Methane Gas Produced is Given
BOD Per Day when Volumetric Loading in an Anaerobic Digester is Given
Endogenous Coefficient when Quantity of Volatile Solids is Given
Hydraulic Retention Time when Volume Required for an Anaerobic Digester is Given
Influent Sludge Flow Rate when Volume Required for an Anaerobic Digester is Given
10 More formulas!
Design of an Aerated Grit Chamber
(16)
Air supply required in Grit Chamber
Assumed Grit Quantity when Volume of Aerated Grit Chamber is Given
Chamber Length when Air supply required is Given
Chosen Air Supply when Air supply required is Given
Chosen Depth when Width of Grit Chamber is Given
Depth when Length of Grit Chamber is Given
Detention Time when Volume of Each Grit Chamber is Given
Length of Grit Chamber
Peak Flow Rate when Volume of Each Grit Chamber is Given
Selected Width-Ratio when Width of Grit Chamber is Given
6 More formulas!
Design of a Plastic Media Trickling Filter
(34)
Area of Filter when Hydraulic Loading is Given
Area of Filter when Organic Loading is Given
Area of Filter when Volumetric Flowrate Applied Per Unit of Filter Area is Given
Area of Trickling Filter when Volumetric Flowrate is Given
BOD5 Load when Organic Loading is Given
BOD5 of Influent Wastewater to Trickling Filter
BOD5 of Settled Effluent from Trickling Filter
Depth of Actual Filter when Treatability Constant is Given
Depth of Filter when Treatability Constant is Given
Depth of Reference Filter when Treatability Constant is Given
24 More formulas!
Design of a Chlorination System for Wastewater Disinfection
(11)
Average Daily Consumption of Chlorine
Average Flow when Average Daily Consumption of Chlorine is Given
Average Flow when Capacity of the Chlorinator at Peak Flow is Given
Capacity of the Chlorinator at Peak Flow
Dosage Used when Average Daily Consumption of Chlorine is Given
Dosage Used when Capacity of the Chlorinator at Peak Flow is Given
Number of Coliform Organisms at Any Initial Time
Number of Coliform Organisms at Any Particular Time
Peaking Factor when Capacity of the Chlorinator at Peak Flow is Given
Residence Time when Number of Coliform Organisms at Any Particular Time is Given
1 More formulas!
Flow velocity in straight sewers
(8)
Area when water flow equation is given
Conversion factor when flow velocity is given
Energy loss when flow velocity is given
Flow velocity using Manning's formula
Hydraulic radius when flow velocity is given
Roughness coefficient when flow velocity is given
Velocity when water flow equation is given
Water flow equation
Controlling Sewer-Water Flow
(8)
Acceleration due to gravity when area for siphon throat is given
Area for siphon throat
Coefficient of discharge when area for siphon throat is given
Depth of flow over weir when flow diversion is given
Discharge when area for siphon throat is given
Flow diversion for side weir
Head when area for siphon throat is given
Length of weir when flow diversion is given
Disposing of storm water
(11)
Acceleration due to gravity when inlet capacity for flow depth more than 1ft 5in is given
Area of opening when inlet capacity for flow depth more than 1ft 5in is given
Depression in curb inlet when runoff quantity with full gutter flow is given
Depth of Flow at Inlet When Inlet Capacity for Flow Depth up to 4.8in is Given
Depth of flow at inlet when runoff quantity with full gutter flow is given
Depth of flow when inlet capacity for flow depth more than 1ft 5in is given
Inlet capacity for flow depth more than 1ft 5in
Inlet capacity for flow depth up to 4.8in
Length of opening when runoff quantity with full gutter flow is given
Perimeter when inlet capacity for flow depth up to 4.8in is given
1 More formulas!
Required flow velocity
(8)
Coefficient of roughness when flow quantity for a full flowing sewer is given
Coefficient of roughness when full flow velocity in sewer is given
Energy loss when flow quantity for a full flowing sewer is given
Energy loss when full flow velocity in sewer is given
Flow quantity for a full flowing sewer
Full flow velocity in sewer
Inside diameter when flow quantity for a full flowing sewer is given
Inside diameter when full flow velocity in sewer is given
Sizing a Polymer Dilution/Feed System
(12)
Active Polymer Dosage when Quantity of Active Polymer Required is Given
Active Polymer when Quantity of Dilution Water Required is Given
Active Polymer when Quantity of Neat Polymer Required is Given
Drum Capacity when Time Required to Use One Drum of Polymer is Given
Neat Polymer when Time Required to Use One Drum of Polymer is Given
Percent Active Polymer in Emulsion when Quantity of Neat Polymer Required is Given
Percent Solution Used when Quantity of Dilution Water Required is Given
Quantity of Active Polymer Required
Quantity of Dilution Water Required
Quantity of Neat Polymer Required
2 More formulas!
Sanitary system sewer design
Hydraulics and Waterworks
(5)
Section Modulus of Circular Section
Section Modulus of Hollow circular tube of uniform section
Section Modulus of Hollow Rectangular Section
Section Modulus of Rectangular Section
Section Modulus of Triangular Section
Buoyancy And Floatation
Equations Of Motion And Energy Equation
Euler's Equation of Motion
(5)
Piezometric Head for a Steady Non Viscous Flow
Pressure Head for a Steady Non Viscous Flow
Pressure when Pressure Head for a Steady Non Viscous Flow is Given
Velocity Head for a Steady Non Viscous Flow is Given
Velocity of Flow when Velocity Head for a Steady Non Viscous Flow is Given
Elbow Meter
(2)
Coefficient of Discharge of Elbow Meter when Discharge is Given
Differential Pressure Head of Elbow Meter when Discharge is Given
Forces Acting on Fluid in Motion
(9)
Acceleration of Fluid when Sum of Total Forces influencing Motion of Fluid is Given
Compressibility Force when Sum of Total Forces influencing Motion of Fluid is Given
Gravity Force when Sum of Total Forces Influencing Motion of Fluid is Given
Mass of Fluid when Sum of Total Forces influencing Motion of Fluid is Given
Pressure Force when Sum of Total Forces influencing Motion of Fluid is Given
Sum of Total Forces Influencing Motion of Fluid
Surface Tension Force when Sum of Total Forces influencing Motion of Fluid is Given
Turbulent Force when Sum of Total Forces influencing Motion of Fluid is Given
Viscous Force when Sum of Total Forces Influencing Motion of Fluid is Given
Orifice Meter
(9)
Actual Velocity at Section 2 when Coefficient of Contraction is Given
Actual Velocity when Theoretical Velocity at Section 2 is Given
Area at Section 2 or at Vena Contracta
Coefficient of Contraction
Coefficient of Discharge
Coefficient of Velocity when Coefficient of Discharge is Given
Discharge through pipe when Coefficient of Discharge is Given
Theoretical Velocity at Section 1
Theoretical Velocity at Section 2
Pitot Tube
(2)
Coefficient of Velocity when Actual Velocity of the flowing Stream is Given
Height of fluid raised in tube when Actual Velocity of the flowing Stream is Given
Venturimeter
(5)
Area at Section 2 when Theoretical Discharge through pipe is Given
Density of Liquid in pipe when Venturi Head is Given
Density of Manometric Liquid when Venturi Head is Given
Venturi Head when Difference in the levels of the Manometric Liquid in the two limbs is Given
Venturi Head when Theoretical Discharge through pipe is Given
Fluid Pressure and Its Measurement
Equilibrium of a Compressible Fluid- Atmospheric Equilibrium
Adiabatic Atmosphere
Isothermal Atmosphere
Fundamentals of Fluid Flow
Continuity Equation
(9)
Cross Sectional Area at Section 1 for a Steady Flow
Cross Sectional Area at Section 2 when flow at Section 1 for a Steady Flow is Given
Cross Sectional Area at Section when Discharge for Steady Incompressible Fluid is Given
Discharge through a Section for Steady Incompressible Fluid
Mass Density at Section 1 for a Steady Flow
Mass Density at Section 2 when flow at Section 1 for a Steady Flow is Given
Velocity at Section 1 for a Steady Flow
Velocity at Section 2 when flow at Section 1 for a Steady Flow is Given
Velocity at Section when Discharge through a Section for Steady Incompressible Fluid is Given
Circulation and Vorticity
(3)
Area of Curve when Vorticity is Given
Circulation when Vorticity is Given
Vorticity
Description of the Flow Pattern
(3)
Component of Velocity in X-Direction when Slope of Streamline is Given
Component of Velocity in Y-Direction when Slope of Streamline is Given
Slope of Streamline
Streamlines, Equipotential Lines and Flow Net
(6)
Component of Velocity in X-direction when Slope of Equipotential Line is Given
Component of Velocity in X-Direction when Slope of Streamline is Given
Component of Velocity in Y-direction when Slope of Equipotential Line is Given
Component of Velocity in Y-Direction when Slope of Streamline is Given
Slope of Equipotential Line
Slope of Streamline
Hydrostatic Forces on Surfaces
Impulse Momentum Equation And Its Applications
Angular Momentum Principles
(6)
Change in Rate of Flow when Torque Exerted on the Fluid is Given
Radial distance r1 when Torque Exerted on the Fluid is Given
Radial distance r2 when Torque Exerted on the Fluid is Given
Torque Exerted on the Fluid
Velocity at Radial distance r1 when Torque Exerted on the Fluid is Given
Velocity at Radial distance r2 when Torque Exerted on the Fluid is Given
Jet Propulsion - Reaction of Jet
Jet Propulsion of Orifice Tank
(5)
Actual Velocity when Force exerted on Tank due to Jet is Given
Area of Jet when Force exerted on Tank due to Jet is Given
Coefficient of Velocity when Force exerted on Tank due to Jet is Given
Force exerted on Tank due to Jet
Head over Jet Hole when Force exerted on Tank due to Jet is Given
Jet Propulsion of Ships
(21)
Absolute Velocity of the Issuing Jet when Propelling Force is Given
Absolute Velocity of the Issuing Jet when Relative Velocity is Given
Absolute Velocity of the Issuing Jet when Work Done by the Jet on Ship is Given
Area of Issuing Jet when Weight of Water is Given
Area of Issuing Jet when Work Done by the Jet on Ship is Given
Efficiency of Propulsion
Efficiency of Propulsion when Head Loss Due to Friction is Given
Head Loss Due to Friction
Kinetic Energy Available with the Water
Propelling Force
11 More formulas!
Momentum Theory of Propellers
(19)
Density of Liquid when Output Power is Given
Density of Liquid when Power Lost is Given
Density of Liquid when Power Lost is Given
Diameter of Propeller when Rate of Flow through Propeller is Given
Flow Velocity when Power Lost is Given
Flow Velocity when Rate of Flow through Propeller is Given
Input Power
Jet Velocity when Output Power is Given
Jet Velocity when Power Lost is Given
Jet Velocity when Rate of Flow through Propeller is Given
9 More formulas!
Liquids in Relative Equilibrium
Fluid Containers Subjected to Constant Rotation
Cylindrical Vessel Containing Liquid Rotating with its Axis Vertical
(9)
Atmospheric Pressure when Pressure at any point with origin at free surface is Given
Centripetal acceleration exerted on the liquid mass at a radial distance r from axis.
Constant Angular Velocity when Centripetal acceleration at a radial distance r from axis is Given
Constant Angular Velocity when Equation of Free Surface of liquid is Given
Equation of Free Surface of liquid
Pressure at any point with origin at free surface
Radial Distance when Centripetal acceleration from axis is Given
Radial Distance when Pressure at any point with origin at free surface is Given
Vertical Depth (z) when Pressure at any point with origin at free surface is Given
Cylindrical Vessel Containing Liquid Rotating with its Axis Horizontal.
(5)
Liquid Column Height when Pressure Intensity at a radial distance r from axis is Given
Pressure Intensity at a radial distance r from axis
Pressure Intensity at a Radial Distance r=0 from Axis is Given
Specific Weight of Liquid when Total Pressure Force on Each End of Cylinder is Given
Total Pressure Force on Each End of Cylinder
Liquid Containers Subjected To Constant Horizontal Acceleration
(15)
Angle of Inclination of Free Surface
Atmospheric Pressure when Pressure at any point in Liquid is Given
Constant Horizontal Acceleration when Angle of Inclination of Free Surface is Given
Constant Horizontal Acceleration when Slope of Surface of Constant Pressure is Given
Gauge Pressure at any point in liquid
Pressure at Any Point in Liquid
Slope of Surface of Constant Pressure
Specific Weight of liquid when Gauge Pressure at any point in liquid is Given
Specific Weight of Liquid when Pressure at any point in liquid is Given
Specific Weight of liquid when Total Force exerted at any Section of the Container is Given
5 More formulas!
Liquid Containers Subjected To Constant Vertical Acceleration
(12)
Atmospheric Pressure when Pressure at any point in liquid is Given
Constant Acceleration when Net Force Acting in Vertical Upward Direction of Tank is Given
Constant Vertical Upward Acceleration when Gauge Pressure at any point in liquid is Given
Constant Vertical Upward Acceleration when Pressure at any Point in Liquid is Given
Gauge Pressure at Any Point in Liquid
Mass of Liquid when Net Force Acting in Vertical Upward Direction of Tank is Given
Net Force Acting in Vertical Upward Direction of Tank
Pressure at any point in liquid
Specific Weight of liquid when Gauge Pressure at any point in liquid is Given
Specific Weight of Liquid when Pressure at any point in liquid is Given
2 More formulas!
Laminar Flow
Steady Laminar Flow In Circular Pipes – Hagen Poiseuille Law
(20)
Discharge through Pipe
Distance of Element from Center line when Head Loss is Given
Distance of Element from Center line when Shear Stress at any Cylindrical Element is Given
Distance of Element from Center line when Velocity at any point in Cylindrical Element is Given
Distance of Element from Center line when Velocity Gradient at Cylindrical Element is Given
Dynamic Viscosity when Pressure Gradient at Cylindrical Element is Given
Length of Pipe when Shear Stress at any Cylindrical Element is Given
Maximum Shear Stress at Cylindrical Element
Maximum Velocity at axis of Cylindrical Element
Pressure Gradient when Discharge through Pipe is Given
10 More formulas!
Darcy – Weisbach Equation
(1)
Length of Pipe when Head Loss due to Frictional Resistance is Given
Hagen–Poiseuille Equation
Properties of Fluid
(33)
Absolute Pressure using Equation of State
Absolute Pressure using Equation of State when Specific Weight is known
Absolute Temperature of Gas
Bulk Modulus of Elasticity
Capillary Rise or Depression of a Fluid
Capillary Rise or Depression when a Tube is inserted in two Liquids
Capillary Rise or Depression when two Vertical Parallel Plates are Partially Immersed in a Liquid
Capillary Rise when contact is between Water and Glass
Compressibility of a Fluid
Compressibility of Fluid when Bulk Modulus of Elasticity is Known
23 More formulas!
Hydrology and Irrigation
Estimation of Flood
(16)
Baird and Mcillwraith Formula for maximum flood discharge
Catchment Area when maximum Flood Discharge is known in Dickens Formula
Catchment Area when maximum Flood Discharge is known in Ryve’s formula
Dicken's Formula
Drainage Area when Peak Discharge given in Field Application
Fuller's formula for Maximum Flood Discharge
Inglis Formula for areas between 160 to 1000 km^2
Inglis Formula for Larger Areas
Inglis Formula for Small Areas
Jarvis formula for Peak Discharge
6 More formulas!
Energy Budget Method
(4)
Bowen’s Ratio
Energy Balance to the Evaporating Surface in a period of one day
Evaporation from Energy Budget Method
Heat Energy used up in Evaporation
Evapotranspiration
(5)
Actual Evapotranspiration
Change in Moisture Storage
Precipitation when Change in Moisture Storage is Given
Runoff when Change in Moisture Storage is Given
Subsurface Outflow when Change in Moisture Storage is Given
Groundwater Hydrology
(14)
Darcy's Law
Elevation Head When Total Head is Given
Porosity
Porosity when Specific Yield and Specific Retention Given
Pressure Head When Total Head is Given
Specific Retention
Specific Yield
Total Head
Total Volume of Soil or Rock Sample when Porosity is Given
Total Volume of Soil or Rock Sample When Specific Retention is Given
4 More formulas!
Analysis of Aquifer-Test Data
(4)
Storage Coefficient From Theis Equation of Transmissivity
Theis Equation to Determine Storage Coefficient
Theis Equation to Determine Transmissivity
Transmissivity When Storage Coefficient is Given from Theis Equation
Distance-Drawdown Analysis
(10)
Drawdown across One Log Cycle from Distance-Drawdown Graphs when Transmissivity is Given
Drawdown across One Log Cycle when Transmissivity is Given for Inconsistent Units
Pumping Rate from Distance-Drawdown Graphs when Transmissivity is Given
Pumping Rate when Transmissivity is Given for Inconsistent Units from Distance-Drawdown Graphs
Storage Coefficient for Inconsistent Units from Distance-Drawdown Graphs
Storage Coefficient from Distance-Drawdown Graphs
Time at which the Drawdowns were Measured when Storage Coefficient is Given
Transmissivity for Inconsistent Units from Distance-Drawdown Graphs
Transmissivity from Distance-Drawdown Graphs
Transmissivity when Storage Coefficient from Distance-Drawdown Graphs is Given
0 More formulas!
Groundwater Velocity
(2)
The Rate of Movement Through an Aquifer and a Confining Bed
Velocity Equation of Hydraulics
Modified Darcy's Laws
(6)
Flow Through any Square from Darcy's law for Ground Water Flow Nets
Flow Through any Square when Total Flow is Given
Number of Squares Through Which the Flow occurs when Total Flow is given
Quantity of Water in Steady-State Unsaturated Flow in the Direction of Downward Movement
Quantity of Water in Steady-State Unsaturated Flow in the Direction of Upward Movement
Total Flow through any Set or Group of Equipotential Lines
Source of Water Derived from Wells
(10)
Balance Equation When Reduction in Natural Discharge Equals the Rate of Withdrawal
Equation for Ground-water Storage When Recharge Exceeds Discharge
Equation for Rate of Natural Discharge When the Cone of Depression Ceases to Expand
Equation for Recharge When Discharge Exceeds Recharge
Equation for Recharge When Recharge Exceeds Discharge
Equation for the Varying Dimensionless Group u in Theis Equation
Natural Discharge when Discharge Exceeds Recharge
Natural Discharge When Recharge Exceeds Discharge
Observed Drawdown in the Unconfined Aquifer
Reduced Ground-water When Discharge Exceeds Recharge
0 More formulas!
Single-Well Tests
(5)
Drawdown in an Aquifer caused by Pumping at any Point in the Aquifer
Drawdown in the Aquifer when Total Drawdown is Given
Total Drawdown in a Pumping Well
Total Drawdown in a Pumping Well expressed in terms of Factors related to Hydraulic Characteristics
Well Loss when Total Drawdown is Given
Saltwater Encroachment
(2)
Ghyben-Herzberg Relationship for Depth of Freshwater Below Sea Level
Height of the Water Table above Sea Level
Transmissivity of Aquifer
(4)
Quantity of Water when Transmissivity is Given
Thickness of Aquifer when Transmissivity is Given
Transmissivity of Aquifer
Transmissivity When Discharge Quantity is Known
Time-Drawdown Analysis
(10)
Distance from the Pumping Well to the Observation Well when Storage Coefficient is Given
Equation for Drawdown Across One Log Cycle when Transmissivity is Given
Equation for Pumping Rate when Transmissivity derived from the Time-Drawdown Graphs is Given
Modified Equation for Storage Coefficient from Time-Drawdown Graphs
Modified Equation for Transmissivity from Time-Drawdown Graphs
Storage Coefficient from the Time-Drawdown Graphs
Storage Coefficient when Time at which Steady-Shape Conditions Develop is Given
Time at which Steady-Shape Conditions Develop
Transmissivity Derived from the Time-Drawdown Graphs
Transmissivity when Time at which Steady-Shape Conditions Develop is Given
0 More formulas!
Test Affected by Lateral Boundaries
(4)
Distance from the Observation Well to the Image Well
Distance from the Observation Well to the Real Well
Time at which Drawdown is Caused by Image Well at Observation Well
Time at which Drawdown is caused by Real Well at the Observation Well
Well Efficiency
(6)
Drawdown in the Aquifer when Well Efficiency is Given
Drawdown Inside the Well when Well Efficiency is Given
Drawdown when Specific Capacity is Given
Pumping Rate when Specific Capacity is Given
Specific Capacity
Well Efficiency
Well-Field Design
(6)
Distance from Pumping Well
Drawdown across One Log Cycle when First Estimate of the Pumping Rate is Given
First Estimate of the Pumping Rate
Storage Coefficient when Distance from Pumping Well is Given
Transmissivity when Distance from Pumping Well is Given
Transmissivity when First Estimate of the Pumping Rate is Given
Interception
(4)
Evaporation Rate when Interception Loss is Given
Interception Loss
Interception Storage when Interception Loss is Given
Ratio of Vegetal Surface Area to its Projected Area when Interception Loss is Given
Losses from Precipitation
(5)
Dalton‘s Law Considering the effect of wind
Dalton's Law of Evaporation
Formula for Pan coefficient
Vapour Pressure of air when Evaporation is given in Dalton's law
Vapour Pressure of water at a given temperature when Evaporation given in Dalton's Law
Determination of Evapotranspiration
(11)
Adjustment Related to the Latitude of the Place when Potential Evapotranspiration is Given
consumptive use of water for large areas
Equation for a Constant Depending upon the Latitude in Net Radiation of Evaporable Water Equation
Equation for Blaney-Criddle
Equation for Net Radiation of Evaporable Water
Equation for Parameter Including Wind Velocity and Saturation Deficit
Mean Monthly Air Temperature when Potential Evapotranspiration is Given in Thornthwaite Equation
Net Radiation of Evaporable water when Daily Potential Evapotranspiration is Given
Parameter Including Wind Velocity and Saturation Deficit
Penman's Equation
1 More formulas!
Potential Evapotranspiration of Crops
(10)
Potential Evapotranspiration of Cotton
Potential Evapotranspiration of Dense Natural Vegetation
Potential Evapotranspiration of Light Natural Vegetation
Potential Evapotranspiration of Maize
Potential Evapotranspiration of Medium Natural Vegetation
Potential Evapotranspiration of Potatoes
Potential Evapotranspiration of Rice
Potential Evapotranspiration of Sugarcane
Potential Evapotranspiration of Very Dense Vegetation
Potential Evapotranspiration of Wheat
0 More formulas!
Measurement of Evaporation
(5)
Equation for Daily Lake Evaporation
Meyer‘s formula
Rohwer‘s formula
Transpiration ratio
Water Consumed by Transpiration
Measurement of Infiltration
(14)
Capillary Suction when Infiltration Capacity is Given
Cumulative Infiltration Capacity when Green-Ampt Parameters of Infiltration Model is Given
Darcy's Hydraulic Conductivity when Infiltration Capacity is Given
Darcy's Hydraulic Conductivity when Infiltration Capacity is Given from Green-Ampt Equation
Darcy's Hydraulic Conductivity when Infiltration Capacity is Given from Philip's Equation
Equation for Infiltration Capacity
Green-Ampt Equation
Infiltration Capacity when Green-Ampt Parameters of Infiltration Model is Given
Infiltration rate by Horton's equation
Kostiakov Equation
4 More formulas!
Infiltration Indices
W-Index
(5)
Duration of Rainfall Excess when W-Index is Given
Initial Losses when W-Index is Given
The W – Index
Total Storm Precipitation when W-Index is Given
Total Storm Runoff when W-Index is Given
Φ-Index
(7)
Duration of Rainfall Excess When Total Runoff Depth is Given
Duration of Rainfall from Rainfall Hyetograph
Phi-Index When Total Runoff Depth is Given
Precipitation when Total Runoff Depth is Given for Practical Use
Pulses of Time Interval from Rainfall Hyetograph
Time Interval of Rainfall Hyetograph
Total Runoff Depth
Φ-Index for Practical Use
(4)
Rainfall Intensity when φ-Index for Practical Use is Given
Runoff to Determine φ-Index for Practical Use
Runoff when φ-Index for Practical Use is Given
φ-Index for Practical Use
Precipitation
(17)
Corrected Precipitation at any Time Period at Station 'X'
Corrected Slope of the Double-Mass Curve
Correction Ratio in the Test for Consistency of Record
Depth of Rainfall when Volume of Rainfall is given
Dredge or Burge formula
Evaporation when Precipitation is known.
Intensity of Rainfall When Radar-Echo Factor is Known
Optimum number of Rain Gauge Stations
Original Recorded Precipitation when Corrected Precipitation at any Time Period is Given
Original Slope of the Double-Mass Curve when Corrected Precipitation is Given
7 More formulas!
Maximum Intensity-Duration-Frequency Relationship
(7)
Duration when Extreme Rainfall Depth is Given
Duration when Maximum Intensity is Given
Extreme Rainfall Depth
Maximum Intensity in General Form
Pan Evaporation Loss
Return Period When Maximum Intensity is Given
Weightage to the Stations
Runoff
(13)
Catchment Area when Drainage density is known
Catchment Area when Stream Density is known
Drainage Density
Form Factor
Form factor when Shape factor is given
Form factor when Width of the Basin is given
Length of all Streams when Drainage Density Given
Length of Overland Flow
Number of Streams when Stream Density is Known
Shape Factor
3 More formulas!
Flow-Duration Curve
Natural Flow
(7)
Change in Storage Volumes
Natural Flow Volume
Net Evaporation Losses from Reservoir on the Stream
Net Export of Water from the Basin
Observed Flow Volume at Terminal Site when Natural Flow Volume is Given
Volume Diverted Out of the Stream
Volume of Return Flow
Runoff Volume
Barlow's Runoff Coefficient
(19)
Annual Precipitation in the i-2'th year when Antecedent Precipitation is Given
Annual Precipitation in the i'th year when Antecedent Precipitation is Given
Barlow's formula for Runoff
Flat Partly Cultivated Stiff Soils with Average or Varying Rainfall
Flat Partly Cultivated Stiff Soils with Continuous Downpour
Flat Partly Cultivated Stiff Soils with with Light rain
Precipitation when Runoff is Given from Exponential Relationship
Runoff in Average Catchment with Average or Varying Rainfall
Runoff in Average Catchment with Continuous Downpour
Runoff in Average Catchment with Light Rain
9 More formulas!
Inglis and Dsouza Formula
(3)
Equation for Runoff for Deccan Plateau
Equation for Runoff for Ghat Regions of Western India
Precipitation when Runoff is Given for Ghat Regions of Western India
Khoslas's Formula
(6)
Mean Monthly Temperature of the Catchment when Monthly Losses is Given
Monthly Losses when Mean Monthly Temperature of the Catchment is Given
Monthly Losses when Monthly Runoff is Given
Monthly Precipitation when Monthly Runoff is Given
Monthly Runoff
Runoff when Precipitation is Given
Rainfall-Runoff Correlation
(4)
Antecedent Precipitation Index
Equation of the Straight-line regression between Runoff and Rainfall
Exponential Relationship for Larger Catchments
Precipitation when Runoff is Given in Straight-line regression between Runoff and Rainfall
SCS-CN Method of Runoff Volume
(2)
Curve Number for Antecedent Moisture Condition-1
Curve Number in terms of Potential Maximum Retention
SCS-CN Equation For Indian Conditions
Strange's Runoff Volume Percentage
Watershed Simulation
(5)
Actual Evapotranspiration when Runoff is Given
Change in Soil Moisture Storage when Runoff is Given
Equation for Runoff
Net Groundwater Outflow when Runoff is Given
Surface Runoff when Runoff is Given
Yield of Catchment
(7)
Abstraction in Time when Yield of a Catchment is Given
Change in the Storage Volumes when Yield of a Catchment is Given
Natural Flow when Yield of a Catchment is Given
Observed Runoff Volume at the Terminal Gauging Station when Yield of Catchment is Given
Volume of Return Flow when Yield of a Catchment is Given
Yield of a Catchment by Water Balance Equation
Yield of a Catchment when Observed Runoff Volume at the Terminal Gauging Station is Given
Reservoir Evaporation and Methods of Reduction
(4)
Average Reservoir Area During the Month when Volume of Water Lost in Evaporation is Given
Pan Evaporation Loss when Volume of Water Lost in Evaporation in a Month is Given
Relevant Pan Coefficient when Volume of Water Lost in Evaporation in a Month is Given
Volume of Water Lost in Evaporation in a Month
Streamflow Measurement
(23)
Cease-to-flow Depth when Depth at the Gauging Station given
Channel Width when Estimated Distance is given in Tracer Method
Conveyance Function determined by Chézy’s law
Conveyance Function Determined by Manning’s Law
Cross-sectional area when Discharge is given from Manning's equation
Depth at the Gauging Station
Diffusion Coefficient in Advection-diffusion flood routing
Discharge from Manning's equation
Estimated Distance when Channel Width is given
Estimated Distance when Discharge is given in Tracer Method
13 More formulas!
Dilution Technique of Streamflow Measurements
Electromagnetic Method
(1)
Annual Precipitation in the i-1'th year when Antecedent Precipitation is Given
Flow-Measuring Structures
Measurement of Velocity
(9)
Average Stream Velocity when Minimum Weight is Given
Average Velocity in Moderately Deep Streams
Average Velocity in Rivers having Flood Flows
Depth of Flow at the Vertical when Sounding Weights is Given
Revolutions Per Second of the Horizontal-Axis Meter when Stream Velocity is Given
Sounding Weights
Stream Velocity at the Instrument Location
Surface Velocity when Average Velocity is Given
Velocity Distribution in a Rough Turbulent Flow
Slope-Area Method
(3)
Eddy Loss
Frictional Loss
Head Loss in the Reach
Non-Uniform Flow
(15)
Average Conveyance of the Channel for Non-Uniform Flow
Average Energy Slope when Average Conveyance for Non-Uniform Flow is Known
Average Energy Slope when Frictional Loss is Given
Conveyance of the Channel for Non-Uniform Flow for End Sections at (1)
Conveyance of the Channel for Non-Uniform Flow for End Sections at (2)
Conveyance of the Channel when Discharge in Non-Uniform Flow is Given
Discharge in Non-Uniform Flow by Conveyance Method
Eddy Loss for Abrupt Contraction Channel Transition
Eddy Loss for Abrupt Expansion Channel Transition
Eddy Loss for Gradual Contraction Channel Transition
5 More formulas!
Uniform Flow
(8)
Area when Conveyance of the Channel is Given
Conveyance of the Channel for Uniform Flow
Conveyance of the Channel when Energy Slope is Given
Discharge for Uniform Flow when Energy Slope is Given
Energy Slope for Uniform Flow
Frictional Loss when Energy Slope is Given
Hydraulic Radius when Conveyance of the Channel for Uniform Flow is Given
Length of the Reach by Manning's Formula for Uniform Flow
Stage-Discharge Relationship
(2)
Gauge Height when Discharge for Non-Alluvial Rivers is Given
Relationship Between Stage and Discharge for Non-Alluvial Rivers
Backwater Effect
(4)
Actual Discharge from Backwater Effect on a Rating Curve-Normalized Curve
Normalized Discharge of Backwater Effect on a Rating Curve-Normalized Curve
Normalized Value of the Fall when Discharge is Given
The Actual Fall at a Stage when Actual Discharge is Given
Unsteady-Flow Effect
(2)
Measured Unsteady Flow
Normal Discharge at a Given Stage under Steady Uniform Flow
Ultrasonic Method
Water budget equation for a catchment
(14)
Catchment Area when Peak Discharge is given in Jarvis formula
Change in Storage of Water in a Catchment
Continuity Equation for Water Balance
Daily Precipitation from Water-Budget Continuity Equation
Ground Water Storage when Storage of water in a catchment is given
Mass in flow when Change in mass storage is given
Mass outflow when Change in mass storage given
Precipitation in Rainfall-runoff relationship
Rainfall-runoff Relationship
Runoff losses in rainfall-runoff relationship
4 More formulas!
Hydrological Continuity Equation
(6)
Daily Groundwater Inflow
Daily Seepage Outflow
Daily Surface Inflow into the Lake
Daily Surface Outflow from the Lake
Daily Transpiration Loss
Increase in Lake Storage in a day
Highway and road
American iron and steel institute(AISI) design procedure
(14)
Compressive thrust on the conduit wall
Compressive thrust when axial load is given
design pressure(Pv) acting on the steel
design pressure(Pv) if the height of cover is less than one pipe diameter
Design pressure(Pv) when compressive thrust is given
design pressure(Pv) when the height of cover is equal to, or greater than, one pipe diameter
Design stress when saftey factor 2 is applied.
Flexibilty factor limits
Metal thickness when flexibility factor is given
Required wall area of width when allowable stress is given
4 More formulas!
Circular curves
(27)
Central angle for portion of curve(approximate for chord definition)
Central angle for portion of curve(exact for arc definition)
Central angle of curve when length of curve is given
Central angle of curve when length of long chord is given
central angle of curve when tangent distance is given
chord offset for chord of length(approximate)
Degree of curve when central angle for portion of curve
Degree of curve when length of curve is given
Degree of curve when radius of curve is given(exact for arc definition, approx for chord definition)
Degree of curve when radius of curve is given(exact for chord definition)
17 More formulas!
Designing highway culverts
(17)
Bulking stress
Bulking stress For diameters greater than 126.5r/K
Dead load pressure when thrust is given
Flexibility factor
Live load pressure when thrust is given
modulus of elasticity when Bulking stress For diameters greater than 126.5r/K is given
Modulus of elasticity when flexibility factor is given
Moment of inertia when flexibility factor is given
Pipe diameter when Bulking stress For diameters greater than 126.5r/K is given
Pipe diameter when flexibility factor is given
7 More formulas!
Parabolic curves
(10)
Distance from PVC to Lowest Point on a Sag Curve
Elevation of lowest point on a sag curve
elevation of point x distant from PVC(point of vertical curvature)
Elevation of PVC when elevation of lowest point on a sag curve is given
Elevation of PVC(point of vertical curvature)
Elevation of PVI(point of vertical intersection) when elevation of PVC is given
grade at beginning of curve when elevation of point x distant from PVC is given
Length of curve when rate of change of grade is given in parabolic curves
Rate of change of grade in parabolic curves
Rate of change of grade when distance from PVC to lowest point on a sag curve is given
0 More formulas!
Structural numbers for flexible pavements
(12)
Actual Thickness of the Base Course when Structural Number is Given
Actual Thickness of the Subbase Course when Structural Number is Given
Actual Thickness of the Surface Course when Structural Number is Given
Drainage Coefficient for the Base Course when Structural Number is Given
Drainage Coefficient for the Subbase when Structural Number is Given
Layer Coefficient for the Base Course when Structural Number is Given
Layer Coefficient for the Subbase Course When Structural Number is Given
Layer Coefficient for the Surface Course when Structural Number is Given
Structural Number for the Base Course
Structural Number for the Subbase Course
2 More formulas!
Transition(spiral) curves
(4)
Minimum length of a spiral
Radius of a circular curve when minimum length is given
Rate of increase of radial acceleration when minimum length of spiral given
Vehicle velocity when minimum length of spiral given
Piles and Piling
Allowable Load on Piles
(6)
Allowable Load for Drop Hammer Driven Piles
Allowable Load for Steam Hammer Driven Piles
Height of Drop when Allowable Load for Drop Hammer Driven Piles is Given
Height of Drop when Allowable Load for Steam Hammer Driven Piles is Given
Weight of Hammer when Allowable Load for Drop Hammer Driven Piles is Given
Weight of Hammer when Allowable Load for Steam Hammer Driven Piles is Given
Axial Load Capacity of Single Piles
(5)
Allowable Load when Safety Factor is Given
Allowable Load when Safety Factors are Given
Pile Capacity
Shaft Resistance when Allowable Load and Safety Factor is Given
Toe Resistance when Allowable Load and Safety Factor is Given
Foundation Stability Analysis
(11)
Correction Factor Nc for Circle and Square
Correction Factor Nc for Rectangle
Correction Factor Nq for Circle and Square
Correction Factor Nq for Rectangle
Correction Factor Ny for Rectangle
Maximum Bearing Pressure for Eccentric Loading Conventional Case
Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged
Maximum Soil Pressure
Minimum Bearing Pressure for Eccentric Loading Conventional Case
Net Bearing Capacity for Undrained Loading of Cohesive Soils
1 More formulas!
Group of Piles
(6)
Allowable Bearing Pressure on Rock when Allowable Design Load is Given
Allowable Concrete-Rock Bond Stress when Allowable Design Load is Given
Allowable Design Load on Rock Socket
Efficiency Factor for a Group of Piles
Group Drag Load in Pile Group Analysis
Socket Length when Allowable Design Load on Rock Socket is Given
Laterally Loaded Vertical Piles
(7)
Characteristic Pile Length for Laterally Loaded Vertical Piles
Horizontal Subgrade Reaction Coefficient when Characteristic Pile Length is Given
Lateral Deflection for Fixed Head Pile Case
Lateral Deflection of a Pile
Negative Moment Imposed on a Pile
Pile Stiffness when Characteristic Pile Length for Laterally Loaded Piles is Given
Positive Moment Imposed on a Pile
Shaft Settlement
(5)
Average Ultimate Skin-Friction Stress in Tension on Failure Plane
Ultimate Resistance for Bearing Capacity Solution
Ultimate Resistance for Cohesive and Cohesionless Soils
Weight of shaft when ultimate resistance is given
Weight of Soil Contained within Failure Plane
Shaft Resistance in Cohesionless Soils
(2)
Average Standard Penetration Resistance when Shaft Resistance Stress is Given
Shaft Resistance Stress by Empirical Procedure
Toe Capacity Load
(3)
Quasi Constant Value for Piles in Sands
Ultimate Tip Load for Piles Installed in Cohesive Soils
Ultimate Tip Load for Piles Installed in Cohesive Soils when Undrained Soil Shear Strength is Given
Surveying Formulas
Measurement of Distance with Tapes
(15)
Actual Tension when Sag Correction of Unsupported Tape is Given
Actual Tension when Tension Correction to Measured Length is Given
Correction to be Subtracted from Slope Distance
Correction to be Subtracted from Slope Distance when Difference in Elevation is Given
Measured Length when Correction to be Subtracted from Slope Distance is Given
Measured Length when Temperature Correction is Given
Measured Length when Tension Correction to Measured Length is Given
Sag Correction of Unsupported Tape
Tape Cross-Sectional Area when Tension Correction to Measured Length is Given
Tape Elasticity Modulus when Tension Correction to Measured Length is Given
5 More formulas!
Orthometric Correction
(6)
Departure when Distance in Feet is Given
Departure when Distance in Kilometers is Given
Departure when Distance in Miles is Given
Displacement when Distance in Feet is Given
Displacement when Distance in Kilometers is Given
Displacement when Distance in Miles is Given
Slope Corrections
(5)
Horizontal Distance in Slope Measurements
Horizontal Offset when Slope Correction for Slopes of 10 Percent or Less is Given
Slope Correction for Slopes Greater than 10 Percent
Slope Correction for Slopes of 10 Percent or Less
Slope Distance when Slope Correction for Slopes of 10 Percent or Less is Given
Temperature Corrections
(7)
Pull on Tape when Sag Correction Between Points of Support is Given
Sag Correction Between Points of Support
Tape Cross-Sectional Area when Temperature Corrections for Nonstandard Tension is Given
Tape Weight per Foot when Sag Correction Between Points of Support is Given
Temperature Corrections for Incorrect Tape Length
Temperature Corrections for Nonstandard Tension
Unsupported Tape Length when Sag Correction Between Points of Support is Given
Photogrammetry
(4)
Elevation of point, line, or area
Flying height of airplane above datum
Focal length of lens when photo scale and height are known
Photo scale when focal length and heights are known
Stadia Surveying
(5)
Additive constant or stadia constant
Horizontal distance between center of transit and rod
Intercept on rod between two sighting wires
Stadia distance from instrument spindle to rod
Vertical distance between center of transit and rod intersected by middle horizontal crosshair
Theory of Errors
(3)
Mean Error when Specified Error of a Single Measurement is Given
Mean Error when Sum of Errors is Given
Probable Error of Mean
Vertical Control
(5)
Relative Accuracy for First Order Class I
Relative Accuracy for First Order Class II
Relative Accuracy for Second Order Class I
Relative Accuracy for Second Order Class II
Relative Accuracy for Third Order
Soil and Earthwork
Bearing Capacity of Soils
(1)
Ultimate Bearing Capacity of Soil Under a Long Footing at the Surface of a Soil
Compaction Equipment
(10)
Compaction Production by Compaction Equipment
Compaction Production by Compaction Equipment when Efficiency Factor is Average
Compaction Production by Compaction Equipment when Efficiency Factor is Excellent
Compaction Production by Compaction Equipment when Efficiency Factor is Poor
Efficiency Factor when Compaction Production by Compaction Equipment is Given
Number of Passes when Compaction Production by Compaction Equipment is Given
Ratio of Pay to Loose when Compaction Production by Compaction Equipment is Given
Speed of Roller when Compaction Production by Compaction Equipment is Given
Thickness of lift when Compaction Production by Compaction Equipment is Given
Width of Roller when Compaction Production by Compaction Equipment is Given
0 More formulas!
Formulas for Earthmoving
(15)
Coefficient of Traction when Usable Pull is Given
Grade Resistance Factor when Grade Resistance for Motion on a Slope is Given
Grade Resistance for Motion on a Slope
Percent Grade when Grade Resistance for Motion on a Slope is Given
Rolling Resistance Factor when Rolling Resistance is Given
Rolling Resistance to the Motion of Wheeled Vehicles
Rolling Resistance when Rolling Resistance Factor is Two Percent
Tire Penetration Factor when Rolling Resistance is Given
Tire Penetration when Rolling Resistance is Given
Total Road Resistance when Rolling Resistance and Grade Resistance is Given
5 More formulas!
Earth Quantities Hauled
(8)
Compacted volume of Soil After Excavation of Soil
Load Factor when Original Volume of Soil is Given
Loaded Volume of Soil when Original Volume of Soil is Given
Loaded Volume of Soil when Percent Swell is Given
Original Volume of Soil Before Excavation
Original Volume of Soil when Compacted Volume of Soil is Given
Shrinkage Factor when Compacted Volume of Soil is Given
Swell in Soil when Original Volume of Soil is Given
Index Parameters for Soils
(8)
Dry Unit Weight of Soil when Relative Density is Given
Maximum Unit Weight of Soil when Relative Density is Given
Maximum Void Ratio of Soil when Relative Density is Given
Minimum Unit Weight of Soil when Relative Density is Given
Minimum Void Ratio of Soil when Relative Density is Given
Natural Void Ratio of Soil when Relative Density is Given
Relative Density of Cohesionless Soil in terms of Unit Weight of Soil
Relative Density of Cohesionless Soil in terms of Void Ratio
Internal Friction and Cohesion
(4)
Angle of Internal Friction for a Soil
Coefficient of Internal Friction for Soil
Normal Force on Given Plane in Cohesionless Soil
Shearing Force on Plane when Sliding on Plane is Impending
Lateral Pressure of Cohesionless Soils
(18)
Angle of Internal Friction of Soil when Coefficient of Active Pressure is Given
Angle of Internal Friction of Soil when Coefficient of Passive Pressure is Given
Coefficient of Active Pressure when Angle of Internal Friction of Soil is Given
Coefficient of Active Pressure when Total Thrust from the Soil for Level Surface is Given
Coefficient of Passive Pressure when Angle of Internal Friction of Soil is Given
Coefficient of Passive Pressure when Thrust of the Soil that are Completely Restrained is Given
Height of Wall when Thrust of Soil that are Completely Restrained and Surface is Level is Given
Total Height of Wall when Total Thrust from the Soil for Level Surface Behind the Wall is Given
Total Height of Wall when Total Thrust from the Soil that are Completely Restrained is Given
Total Height of Wall when Total Thrust from the Soil that are Free to Move is Given
8 More formulas!
Lateral Pressure of Cohesive Soils
(10)
Coefficient of Passive Pressure when Thrust of Soil are Free to Move only a Small Amount is Given
Cohesion of soil when Total Thrust from the Soil that are Free to Move is Given
Cohesion of soil when Total Thrust from the Soil with Small Angles of Internal Friction is Given
Height of Wall when Total Thrust of the Soil that are Free to Move only a Small Amount is Given
Total Thrust from the Soil that are Free to Move a Considerable Amount
Total Thrust from the Soil that are Free to Move only a Small Amount
Total Thrust from the Soil with Small Angles of Internal Friction
Unit Weight of Soil when Total Thrust from the Soil with Small Angles of Internal Friction is Given
Unit Weight of Soil when Total Thrust of the Soil that are Free to Move only a Small Amount is Given
Unit Weight of the Soil when Total Thrust from the Soil that are Free to Move is Given
0 More formulas!
Physical Properties of Soil
(13)
Degree of Saturation of Soil
Degree of Saturation when Dry Unit Weight of Soil is Given
Dry Unit Weight of Soil with any Degree of Saturation
Porosity of soil
Porosity of soil when void ratio is given
Specific Gravity of Soil when Degree of Saturation is Given
Total Volume of Soil when Porosity is Given
Void ratio of soil
Void Ratio of Soil when Degree of Saturation is Given
Void ratio of soil when porosity is given
3 More formulas!
Relationships of Weights and Volumes in Soils
(27)
Activity Index of Soil
Buoyant Unit Weight of Soil with Saturation 100 Percent
Dry Unit Weight of Soil when Saturation is 0 Percent
Liquid Limit of Soil when Plasticity Index is Given
Liquidity Index of Soil
Moisture Content of Soil when Liquidity Index is Given
Percent of Soil Finer than Clay Size when Activity Index is Given
Plastic Limit of Soil when Liquidity Index is Given
Plastic Limit of Soil when Plasticity Index is Given
Plastic Limit of Soil when Shrinkage Index is Given
17 More formulas!
Stability of Slopes
(2)
Stability Number for Failure on the Slope With Seepage of Water
Stability Number for Failure on the Slope Without Seepage Water
Settlement Under Foundations
(2)
Load Intensity on Foundation when Settlement is Given
Settlement in Foundation due to Load applied on Foundation
Soil Compaction Tests
(25)
California Bearing Ratio for Strength of Soil that Underlies a Pavement
Coefficient of Permeability when Rate of Flow of Water is Given
Cross-sectional Area of Soil Conveying Flow when Rate of Flow of Water is Given
Density of Sand when Volume of Soil for Sand Filling in Sand Cone Method is Given
Dry Density of Soil in Sand Cone Method
Dry Density of Soil when Percent Compaction of Soil in Sand Cone Method is Given
Field Density in Sand Cone Method
Field Density of Soil when Dry Density of Soil in Sand Cone Method is Given
Force per Unit Area Required for Penetration of a Standard Material when CBR is Given
Force per Unit Area Required to Penetrate a Soil Mass with a Circular Piston when CBR is Given
15 More formulas!
Scraper Production
(25)
Bank or Quantity of Scrap Produced
Cycle time when Trips per hour for excavating scrap is Given
Density of Material when Quantity of Scrap Produced is Given
Haul Distance in Feet when Variable Time is Given
Haul Distance in Meter when Variable Time is Given
Load when Production of Scrap by Machines is Given
Number of Scrapers a Pusher can Load
Number of Scrapers Needed in a Job
Production of Scrap by Machines
Production per unit when Number of Scrapers Needed in a Job is Given
15 More formulas!
Vertical Pressures in Soils
(4)
Total Concentrated Surface Load in Boussinesq Equation
Total Concentrated Surface Load in Westergaard Equation
Vertical Stress at a Point in Boussinesq Equation
Vertical Stress at a Point in Westergaard Equation
Vibration Control In Blasting
(42)
Acceleration of Particles Disturbed by the Vibrations
Amplitude of the Vibrations when Acceleration of Particles is Given
Amplitude of the Vibrations when Velocity of the Particle is Given
Burden Suggested in Konya Formula
Burden Suggested in Langefors' Formula
Burden when Spacing for Multiple Simultaneous Blasting is Given
Burden when Stemming at Top of Borehole is Given
Degree of Packing when Burden Suggested in Langefors' Formula is Given
Diameter of Borehole when Burden is Given
Diameter of Drill Bit when Burden Suggested in Langefors' Formula is Given
32 More formulas!
Water Pressure
(3)
Height of Water Above Bottom of Wall when Total Thrust from Water Retained Behind a Wall is Given
Total Thrust from Water Retained Behind a Wall
Unit Weight of Water when Total Thrust from Water Retained Behind a Wall is Given
Timber Engineering
Adjustment Factors for Design Values
(6)
Adjusted Design Value for Compression Parallel to Grain
Adjusted Design Value for Compression Perpendicular to Grain
Adjusted Design Value for End Grain in Bearing Parallel to Grain
Adjusted Design Value for Extreme Fiber Bending
Adjusted Design Value for Shear
Adjusted Design Value for Tension
Bearing Area Factor
(2)
Bearing Area Factor
Bearing Length when Bearing Area Factor is Given
Column Stability and Buckling Stiffness Factors
(1)
Slenderness Ratio for Beams
Radial Stresses and Curvature Factor
(6)
Bending Moment when Radial Stress in a Member is Given
Cross Section Depth when Radial Stress in a Member is Given
Cross Section Width when Radial Stress in a Member is Given
Curvature Factor for Adjustment in Design Value for Curved Portions of Wood
Radial Stress Induced by Bending Moment in a Member
Radius of Curvature when Radial Stress in a Member is Given
Size and Volume Factors
(1)
Size Factor for Adjustment in Design Value for Bending
Adjustment of Design Values for Connections with Fasteners
(13)
Adjusted Design Value for Lateral Loading for Bolts
Adjusted Design Value for Lateral Loading for Drift Bolts and Pins
Adjusted Design Value for Lateral Loading for Lag Screws
Adjusted Design Value for Lateral Loading for Metal Plate Connectors
Adjusted Design Value for Lateral Loading for Nails and Spikes
Adjusted Design Value for Lateral Loading for Spike Grids
Adjusted Design Value for Lateral Loading for Wood Screws
Adjusted Design Value for Withdrawal for Drift Bolts and Pins
Adjusted Design Value for Withdrawal for Lag Screws
Adjusted Design Value for Withdrawal for Nails and Spikes
3 More formulas!
Beams
(13)
Beam Depth when Extreme Fiber Stress for a Rectangular Timber Beam is Given
Beam Depth when Horizontal Shearing Stress is Given
Beam Width when Extreme Fiber Stress for a Rectangular Timber Beam is Given
Beam Width when Horizontal Shearing Stress is Given
Bending Moment when Extreme Fiber Stress for a Rectangular Timber Beam is Given
Extreme Fiber Stress for a Rectangular Timber Beam when Section Modulus is Given
Extreme Fiber Stress in Bending for a Rectangular Timber Beam
Horizontal Shearing Stress in a Rectangular Timber Beam
Horizontal Shearing Stress in a Rectangular Timber Beam when Notch in the Lower Face
Modified Total End Shear for Concentrated Loads
3 More formulas!
Bending and Axial Compression
(3)
Maximum Bending Stress for Load Applied to Narrow Member Face
Maximum Compressive Stress for Biaxial Bending
Maximum Compressive Stress for Uniaxial Bending
Columns
(6)
Allowable Unit Stress on Timber Columns for a Single Member
Allowable Unit Stress on Timber Columns of Circular Cross Section
Allowable Unit Stress on Timber Columns of Square or Rectangular Cross Section
Elasticity Modulus when Allowable Unit Stress of Circular Timber Columns is Given
Elasticity Modulus when Allowable Unit Stress of Square or Rectangular Timber Columns is Given
Elasticity Modulus when Allowable Unit Stress on Timber Columns for a Single Member is Given
Compression at Angle to Grain
(1)
Allowable Unit Stress at Angle to Grain
Compression on Oblique Plane
(3)
Allowable Compressive Stress Inclined to Grain
Pressure at AC
Pressure at BC
Forest Products Laboratory Recommendations
(5)
Allowable Compressive Stress in a Rectangular Section
Allowable Compressive Stress Parallel to Grain for Intermediate Columns
Allowable Compressive Stress Parallel to Grain for Long Columns
Allowable Compressive Stress Parallel to Grain for Short Columns
Elasticity Modulus when Allowable Compressive Stress in a Rectangular Section is Given
Fasteners for Wood
Nails and Spikes
(3)
Allowable Load per Inch of Penetration into Member Receiving Point
Diameter of Nail or Spike when Allowable Load per Inch is Given
Total Allowable Lateral Load for a Nail or Spike
Wood Screws
(4)
Allowable Load per Inch of Threaded Portion Penetration into Member Receiving Point
Diameter of Wood Screw When Allowable Load per Inch is Given
Diameter of Wood Screw when Total Allowable Lateral Load is Given
Total Allowable Lateral Load for Wood Screws
Roof Slope to Prevent Ponding
(1)
Factor for Multiplying Stresses and Deflections under Existing Loads
Solid Rectangular or Square Columns with Flat Ends
(5)
Allowable Unit Load for Douglas Fir Lumber
Allowable Unit Load for Hemlock Lumber
Allowable Unit Load for Longleaf Yellow Pine Lumber
Allowable Unit Load for Southern Cypress Lumber
Ultimate Unit Load
Electronics
Analog communications
(34)
Amplitude of Carrier Signal
Amplitude of Modulating Signal
Amplitude Sensitivity of Modulator
Bandwidth in DSB-SC
Bandwidth of AM wave
Bandwidth of SSB
Bandwidth of VSB
Carrier Power
Crest Factor
Lower Sideband Power
24 More formulas!
Analog Electronics
(11)
Average Current for Full-wave Rectifier
Average Current for Half-wave Rectifier
Average Voltage for Full-wave Rectifier
Average Voltage for Half-wave Rectifier
Form Factor
Ripple Factor
RMS Current for Halfwave Rectifier
RMS Current for the Full-wave Rectifie
RMS Voltage for half-wave Rectifier
RMS Voltage for the Full-wave Rectifier
1 More formulas!
Antenna & Wave Propogation
(33)
Absolute Temp Of Resistor
Antenna Current
Antenna Efficiency
Antenna Gain
Avg Radiation Intensity
Critical Freq Ionosphere
Directivity Of Antenna
Distance b/w Transmitting and Receiving point
Duct Height
Effective Aperture Of antenna
23 More formulas!
Control Systems
(15)
Bandwidth frequency
Damped natural frequency
Damping ratio / Damping factor
Delay time
Maximum Overshoot
Number of oscillations
Peak time
Resonant frequency
Resonant peak
Rise time
5 More formulas!
Root locus
(2)
Angle of asymptotes
Number of Asymptotes
Time response of 2nd order system
(4)
Time constant
Time response in critically damped case
Time response in overdamped case
Time response in undamped case
Digital Communication
(18)
Attenuation when power of 2 signals are given
Attenuation when voltage of 2 signals are given
Bandwidth of ASK when baud rate is given
Bandwidth of ASK when bit rate is given
Bandwidth of FSK
Bandwidth of Multilevel FSK
Bandwidth of PSK
Bandwidth of raised cosine filter
Baud Rate
Bit rate
8 More formulas!
EDC
(50)
Acceleration when force and electric field is present
Angular Velocity of a particle in a magnetic field
Base current using Current amplification Factor
Base Transport Factor
Base Transport Factor using current amplification factor
Collector current using Base transport factor
Collector current using Current amplification factor
Collector to emitter leakage current
Common collector current gain
Conductivity in Extrinsic Semiconductors (for n-type)
40 More formulas!
FIBER OPTIC COMMUNICATION
(16)
Diameter Of Fiber
Fiber Attenuation Coefficient
Fiber Length
Gaussian Pulse
Graded Index Fiber
Group Delay
Normalized Frequency
Numerical Aperture
Optical Fiber Dispersion
Optical Pulse
6 More formulas!
Power Electronics
Controlled rectifiers
(12)
Average output voltage of a single phase full converter with highly inductive load
Average output voltage of single phase semi-converter with highly inductive load
Average output voltage of single phase thyristor converter with resistive load
Maximum output voltage of a single phase full converter with highly inductive load
Maximum output voltage of a single phase semi-converter with highly inductive load
Maximum output voltage of single phase thyristor converter with resistive load
Normalized output voltage of a single phase semi-converter with highly inductive load
Normalized output voltage of single phase full converter with highly inductive load
Normalized voltage of a single phase thyristor converter with resistive load
RMS output voltage of a single phase full converter with highly inductive load
2 More formulas!
Single Phase Full Converter
(9)
Apparent power for constant load current
Apparent power for constant load current in terms of V<sub>m</sub>
Displacement power factor for constant load current
Fundamental component of source current for constant load current
Real power for constant load current
Real power for constant load current in terms of V<sub>m</sub>
RMS magnitude of fundamental source current for constant load current
Total power factor for constant load current
Total power factor for continuous load current
Single Phase Semi-converter
(6)
Displacement power factor for constant load current
Displacement power factor for continuous load current
Distortion power factor for constant load current
Peak magnitude of source current for constant load current
RMS value of source current for constant load current
Total power factor for constant load current
Single Phase Dual Converters
(3)
DC output voltage for first converter
DC output voltage of second controller
Maximum circulating current
Three phase half wave converters
(4)
Average output voltage for continuous load current
Maximum output voltage for continuous load current
Normalized average output voltage
RMS output voltage for continuous load current
Three phase semi-converter
(5)
Average output current
Average output voltage
Maximum average output voltage
Normalized average output voltage
RMS output voltage
Three phase full converter
(4)
Average output voltage
Maximum average output voltage
Normalized average output voltage
RMS output voltage
Inverters
Single phase inverters
(3)
RMS output voltage
RMS value of fundamental component of voltage for full bridge
RMS value of fundamental component of voltage for half bridge
Series resonant inverter
(3)
Maximum output frequency for bidirectional switches
Maximum output frequency for unidirectional switches
Time when the current becomes maximum for unidirectional switches
Three phase inverters
(4)
Equivalent resistance in all three modes of operation
Line-to-line RMS voltage
Line-to-neutral voltage
RMS of fundamental component of line-to-line voltage
Thyristors
(7)
Derating factor of series connected thyristor string
Discharging current of dv/dt protection thyristor circuits
Excess work due to thyristor 1 in chopper circuit
Leakage current of the collector-base junction
Resultant series voltage of series connected thyristor string
Voltage across first thyristor in series-connected thyristors
Worst case steady state voltage across first thyristor in series connected thyristors
Voltage Regulators
Linear Voltage Regulator
Shunt Regulator
(5)
Input Voltage (LSR)
Load Current (LSR)
Output Voltage (LSR)
Shunt Current (LSR)
Shunt Resistance (LSR)
Switching Voltage Regulator
Buck Regulator
Continuous Conduction Mode
(3)
Duty Cycle For Buck Regulator (CCM)
Input Voltage For Buck Regulator (CCM)
Output Voltage For Buck Regulator (CCM)
Discontinuous Conduction Mode
(4)
Commutation Period For Buck Regulator (DCM)
Inductor Value For Buck Regulator (DCM)
Output Current For Buck Regulator (DCM)
Output Voltage For Buck Regulator (DCM)
Boost Regulator
Continuous Conduction Mode
(3)
Duty Cycle For Boost Regulator (CCM)
Input Voltage For Boost Regulator (CCM)
Output Voltage For Boost Regulator (CCM)
Discontinuous Conduction Mode
(5)
Commutation Period For Boost Regulator (DCM)
Duty Cycle For Boost Regulator (DCM)
Inductor Value For Boost Regulator (DCM)
Output Current For Boost Regulator (DCM)
Output Voltage For Boost Regulator (DCM)
Buck-Boost Regulator
Continuous Conduction Mode
(3)
Duty Cycle For Buck-Boost Regulator (CCM)
Input Voltage For Buck-Boost Regulator (CCM)
Output Voltage For Buck-Boost Regulator (CCM)
Discontinuous Conduction Mode
(4)
Commutation Period For Buck-Boost Regulator (DCM)
Inductor Value For Buck-Boost Regulator (DCM)
Output Current For Buck-Boost Regulator (DCM)
Output Voltage For Buck-Boost Regulator (DCM)
Cuk Regulator
(3)
Duty Cycle For Cuk Regulator
Input Voltage For Cuk Regulator
Output Voltage For Cuk Regulator
Radar System
(18)
Antenna Aperture Efficiency
Doppler Angular Frequency
Doppler Frequency
Effective Area Of The Receiving Antenna
Max Power Density Radiated By Antenna
Maximum Gain Of The Antenna
Maximum Range Of The Radar
Maximum Unambiguous Range
Measured Runtime
Minimum Detectable Signal
8 More formulas!
Satellite Communication
(7)
Apogee Heights
Kepler's First Law
Kepler's Third Law
Length Of Radius Vectors At Apogee
Length Of Radius Vectors At Perigee
Perigee Heights
Period Of Satellite
Telecommunication Switching Systems
(37)
Average Holding Time
Average Number Of Call
Average Poisson Call Arrival Rate
Average Switching Time Per Stage
Call Setup Time
Cost Capacity Index
Cost Of Common Hardware
Cost Of Switching System
Cost Per Subscriber
Downtime For High Availability
27 More formulas!
Electrical
Basic Electronics
(23)
Capacitance of the varactor diode
Conductivity in metals
Conductivity in semiconductors
Conductivity of extrinsic semiconductor for p-type
Conductivity of extrinsic semiconductors for n-type
Current in Zener diode(Zener current)
Cut-off frequency of varactor diode
Diode Equation
Einstein's Equation
Electron diffusion length
13 More formulas!
Battery Life
(1)
Battery Life
Control System
(1)
Bandwidth frequency
Electrical Circuit
(17)
Capacitance For The Parallel RLC Circuit When Q-Factor Is Given
Capacitance For The Series RLC Circuit When Q-Factor Is Given
Capacitance When The Time Constant And Frequency Is Given
Capacitance When The Time Constant Is Given
Frequency When Time Constant Is Given
Inductance For The Parallel RLC Circuit When Q-Factor Is Given
Inductance For The Series RLC Circuit When Q-Factor Is Given
Inductance When The Time Constant Is Given
Q-factor For The Parallel RLC Circuit
Q-factor For The Series RLC Circuit
7 More formulas!
Electrical Drives
Dynamics of Drives
(1)
Power developed by synchronous motor
Machine
DC Motor
(20)
Armature Copper Loss
Back EMF for max power condition of DC Motor
Converted Power
EMF of DC Motor using EMF Equation
Field Cu Losses
Frequency When Speed Is Given
Induced Back EMF
Input Power 3-Phase
Input Power Per Phase
Mechanical Efficiency
10 More formulas!
Efficiency
(25)
Angular Speed Using Electrical Efficiency Of Dc Motor
Armature Copper Loss Using Overall Efficiency Of Dc Motor
Armature Current Using Electrical Efficiency Of Dc Motor
Armature Resistance using Overall Efficiency Of Dc Motor
Armature Torque Using Electrical Efficiency Of Dc Motor
armature torque using mechanical Efficiency Of Dc Motor
Constant Losses Using Overall Efficiency Of Dc Motor
Converted Power Using Electrical Efficiency Of Dc Motor
Converted Power Using Mechanical Efficiency Of Dc Motor
Core Loss Using Overall Efficiency Of Dc Motor
15 More formulas!
Shunt DC Motor
(33)
Angular Speed Of DC Shunt Motor Using Kf
Angular Speed Of DC Shunt Motor Using Output Power
Armature Conductors Of DC Shunt Motor Using K
Armature Current Of Shunt DC Motor Using Input Power
Armature Current Of Shunt DC Motor Using The Torque
Armature Current Of Shunt DC Motor Using Voltage
Armature Parallel Path Of Shunt DC Motor Using K
Armature Resistance Of Shunt DC Motor Using Voltage
Back Emf Of Shunt DC Motor Using Motor Speed
Full Load Speed Of Shunt DC Motor
23 More formulas!
Power
Torque
Series DC Motor
(26)
Angular Speed Of Series DC Motor Using Kf
Angular Speed Of Series DC Motor Using Output Power
Armature Current Of Series DC Motor Using Input Power
Armature Current Of Series DC Motor Using Kf
Armature Current Of Series DC Motor Using Speed
Armature Current Of Series DC Motor Using Torque
Armature Current Of Series DC Motor Using Voltage
Armature Induced Voltage Of Series DC Motor Using Kf
Armature Induced Voltage Of Series DC Using Voltage
Armature Resistance Of Series DC Motor Using Voltage
16 More formulas!
Power
Torque
Dc Machine
(14)
Angular Speed Of The Dc Machine
Armature Current
Back EMF
Constant Of The DC Machine
EMF For DC Generator
EMF For DC Generator For Wave Winding
EMF Of Dc Machine When Constant Of The DC Machine Is Given
Field Current
Power Generated When The Armature Current Is Given
Power Generated When Torque is Given
4 More formulas!
Series Generator
(20)
Angular Speed Of Series DC Generator Using Generated Power
Angular Speed Of Series DC Generator Using Kf
Angular Speed Of Series DC Generator Using Torque
Armature Resistance Of Series DC Generator Using Voltage
Converted Power Of Series DC Generator
Converted Power Of Series DC Generator Using Input Power
Core Losses Of Series DC Generator Using Converted Power
Kf Of Series DC Generator
Kf Of Series DC Generator Using Torque
Load Power Of Series DC Generator
10 More formulas!
Armature Current
(5)
Armature Current Of Series DC Generator Using Converted Power
Armature Current Of Series DC Generator Using Generated Power
Armature Current Of Series DC Generator Using Kf
Armature Current Of Series DC Generator Using Terminal Voltage
Armature Current Of Series DC Generator Using Torque
Torque
Voltage
(5)
Armature Induced Voltage Of Series DC Generator
Armature Induced Voltage Of Series DC Generator Using Converted Power
Armature Induced Voltage Of Series DC Generator Using Generated Power
Armature Induced Voltage Of Series DC Generator Using Kf
Terminal Voltage Of Series DC Generator
Induction Motor
(35)
Armature Current When Power Is Given
Breakdown Slip Of An Induction Motor
Field Current When Load Current Is Given
Force
Force By A Linear Induction Motor
Frequency When The Number of Poles Is Given
Gross Mechanical Power
Gross Torque When Mechanical Power Is Given
Gross Torque When Synchronous Speed Is Given
Induced Voltage When Power Is Given
25 More formulas!
Slip
Synchronous Machines
Synchronous Motor
(30)
3-Phase Input Power Of Synchronous Motor
3-Phase Mechanical Power Of Synchronous Motor
Angel Between Voltage And Armature Current Using 3-phase Input Power
Angel Between Voltage And Armature Current Using 3-phase Mechanical Power
Angel Between Voltage And Armature Current using input Power
Armature Current Of Synchronous Motor Using 3-phase Mechanical Power
Armature Current Of Synchronous Motor Using Input Power
Armature Current Of Synchronous Motor Using Mechanical Power
armature resistance Of Synchronous Motor Using 3-phase Mechanical Power
Armature Resistance Of Synchronous Motor Using Input Power
20 More formulas!
Power
Power Factor
Synchronous Speed
Synchronous Machine
Transformer
(37)
Equivalent Impedance Of Transformer From Primary Side
Equivalent Impedance Of Transformer From Secondary Side
Primary Current When Input Voltage Is Given
Primary Current When Primary Leakage Reactance Is Given
Primary Current When Voltage Transformation Ratio Is Given
Primary Leakage Reactance
Primary Leakage Reactance When Equivalent Reactance From Secondary Side Is Given
Primary Voltage When Voltage Transformation Ratio Is Given
Primary Winding Reactance When Impedance Of Primary Winding Is Given
Primary Winding Resistance
27 More formulas!
Area Of Core
(2)
Area Of Core When EMF Induced In Primary Winding Is Given
Area Of Core When EMF Induced In Secondary Winding Is Given
EMF Induced In Primary & Secondary Windings
EMF Induced In Primary Windings
(3)
EMF Induced In Primary Winding
EMF Induced In Primary Winding When Input Voltage Is Given
EMF Induced In Primary Winding When Voltage Transformation Ratio Is Given
EMF Induced In Secondary Windings
(3)
EMF Induced In Secondary Winding
EMF Induced In Secondary Winding When Output Voltage Is Given
EMF Induced In Secondary Winding When Voltage Transformation Ratio Is Given
Equivalent Impedance
Equivalent Reactance From Primary Side
(1)
Equivalent Reactance From Primary Side When Equivalent Impedance From Primary Side Is Given
Equivalent Reactance From Secondary Side
(1)
Equivalent Reactance From Secondary Side When Equivalent Impedance From Secondary Side Is Given
Equivalent Resistance
Equivalent Resistance From Primary Side
(3)
Equivalent Resistance From Primary Side When Equivalent Impedance From Primary Side Is Given
Equivalent Resistance From Primary Side When Secondary Winding Resistance
Equivalent Resistance Of Transformer From Primary Side
Equivalent Resistance From Secondary Side
(3)
Equivalent Resistance From Secondary Side When Equivalent Impedance From Secondary Side Is Given
Equivalent Resistance From Secondary Side When Primary Winding Resistance
Equivalent Resistance Of Transformer From Secondary Side
Frequency
(2)
Frequency When EMF Induced In Primary Winding is Given
Frequency When EMF Induced In Secondary Winding is Given
Impedance
Impedance Of Primary Winding
(2)
Impedance Of Primary Winding
Impedance Of Primary Winding When Input Voltage Is Given
Impedance Of Secondary Winding
(2)
Impedance Of Secondary Winding
Impedance Of Secondary Winding When Output Voltage Is Given
Maximum Flux Density
(2)
Maximum Flux Density When Primary Winding Is Given
Maximum Flux Density When Secondary Winding Is Given
Maximum Flux In Core
(2)
Maximum Flux In Core When Primary Winding Is Given
Maximum Flux In Core When Secondary Winding Is Given
Number Of Turns
(4)
Number Of Turns In The Primary winding
Number Of Turns In The Primary Winding When Voltage Transformation Ratio Is Given
Number Of Turns In The Secondary Winding
Number Of Turns In The Secondary Winding When Voltage Transformation Ratio Is Given
Voltage
Input Voltage
(1)
Input Voltage When EMF Induced In Primary Winding Is Given
Output Voltage
(1)
Output Voltage When EMF Induced In Secondary Winding Is Given
Voltage Transformation Ratio
(12)
Voltage Transformation Ratio When Equivalent Reactance From Primary Side Is Given
Voltage Transformation Ratio When Equivalent Reactance From Secondary Side Is Given
Voltage Transformation Ratio When Equivalent Resistance From Primary Side Is Given
Voltage Transformation Ratio When Equivalent Resistance From Secondary Side Is Given
Voltage Transformation Ratio When Primary And Secondary Current Is Given
Voltage Transformation Ratio When Primary And Secondary Induced Voltage Is Given
Voltage Transformation Ratio When Primary And Secondary Number Of Turns Is Given
Voltage Transformation Ratio When Primary And Secondary Voltage Is Given
Voltage Transformation Ratio When Primary Leakage Reactance Is Given
Voltage Transformation Ratio When Primary Leakage Resistance Is Given
2 More formulas!
Microelectronic Circuits
Amplifiers
(42)
3-dB Frequency of STC Networks for high-pass frequency
3-dB Frequency of STC Networks for low-pass frequency
Amplifier Power Efficiency
Amplifier Transmission
Common Mode Rejection Ratio
Current gain of the amplifier
Current gain of the amplifier in decibels
differential gain for the instrumentation amplifer
differential input resistance
Input Bias Current
32 More formulas!
Bipolar Junction Transistors (BJTs)
Device Structure and Physical Operation
Current flow
(13)
Base Current 1 of BJT
Base Current 2 of BJT
Collector Current of BJT
Collector current when emitter current is given
Collector current when saturation current of DC is given
Common-base current gain
Common-emitter current gain in terms of common-base current gain
Concentration of electrons injected from emitter to base
Emitter Current
Emitter current when common-emitter current gain is given
3 More formulas!
Minority Carrier Concentration
(8)
Base current when saturation current in DC is given
Collector current when saturation current is given
Collector to emitter voltage at saturation
Emitter current through minor carrier concentration
Forced common-emitter current gain
Saturation current
Saturation current when doping concentration is given
Thermal equilibrium value of minority charge carrier
Current and Voltage characteristics of transistor
(4)
Collector current when early voltage is given for NPN transistor
Collector current when early voltage is given for PNP transistor
Output resistance of BJT
Output resistance of transistor when base current is constant
PNP transistor
(10)
Base current of PNP transistor when collector current is given
Base current of PNP transistor when common-base current gain is given
Base current of PNP transistor when emitter current is given
Base current of PNP transistor when saturation current is given
Collector current of PNP transistor
Collector current of PNP transistor when common-base current gain is given
Collector current of PNP transistor when common-emitter current gain
Emitter current when collector current is given
Emitter current when saturation current is given
Emitter current when the base current is given
0 More formulas!
MOS Field-Effect Transistors (MOSFETs)
(37)
Body effect in NMOS
Body effect in PMOS
Conductance of channel of MOSFET when Vgs is given
Conductance of channel of MOSFETs
Current entering drain terminal of MOSFET
Current entering drain terminal of MOSFET at saturation
Current entering drain terminal of MOSFET when Vgs is given
Current flowing through the induced channel in the transistor
Current flowing through the induced channel in the transistor when Vgs is given
Differential input signal of the non-inverting configuration
27 More formulas!
N-channel enhancement-type MOSFET
(5)
Current entering drain-source at boundary of the saturation and triode region of NMOS
Current entering drain-source at saturation region of NMOS
Current entering drain-source at saturation region of NMOS when effective voltage is given
Current entering drain-source in triode region of NMOS
Current entering drain-source in triode region of NMOS when effective voltage is given
P-channel enhancement-type MOSFET
(7)
Drain current in the saturation region of PMOS transistor
Drain current in the saturation region of PMOS transistor when V<sub>ov</sub> is given
Drain current in triode region of PMOS transistor
Drain current in triode region of PMOS transistor when V<sub>SD</sub> is given
Overall drain current of PMOS transistor
Overdrive voltage of PMOS
Transistor transconductance parameter of PMOS
Operational Amplifiers
(13)
Closed-loop gain of an operational amplifier
Common-mode input signal of an operational amplifier
Common-mode rejection ratio of the difference amplifiers
Current in finite open-loop gain in operational amplifier
Differential gain of a difference amplifier
Differential Input Signal
Integrator frequency
Magnitude of integrator transfer function
Output voltage of Finite Open-Loop Gain of an operational amplifier
Output voltage of noninverting configuration
3 More formulas!
Transistor Amplifiers
Basic Principles
(22)
Bias voltage of the transistor
Collector current in active region when transistor acts as an amplifier
DC Bias Voltage
Drain current in the load line
Drain current when transistor acts as an amplifier
Maximum voltage gain at the bias point
Maximum voltage gain when all voltages are given
Output Voltage of BJT Amplifier
Output Voltage of the voltage amplifier
Output voltage when MOSFET acts as an amplifier
12 More formulas!
Small-Signal Operation and Models
(20)
Amplification factor
Amplification factor of BJT
DC bias current of MOSFET
DC bias current of MOSFET in terms of overdrive voltage
DC Bias output voltage at the drain
Emitter resistance when emitter current is given
Instantaneous drain current at the drain terminal
Instantaneous drain current at the drain terminal when transconductance parameter is given
Instantaneous drain current in terms of voltage between drain and source
MOSFET transconductance
10 More formulas!
Network Theory
Resonance
Power System
(41)
Average Load
Complex Power When Current Is Given
Complex Power When Voltage Is Given
Current When Complex Power Is Given
Current When The Power Factor Is Given
Electric Current Reactive Power Is Given
Electric Current When Real Power Is Given
Impedance When Complex Power And Current Are Given
Impedance When Complex Power And Voltage Are Given
Impedance When The Power Factor Is Given
31 More formulas!
Fault
(38)
Delta Impedance For Delta Connected Load Using Negative Sequence Voltage
Leakage Impedance For Transformer Using Negative Sequence Current
Leakage Impedance For transformer Using Negative Sequence Voltage
Leakage Impedance For Transformer Using Positive Sequence Current
Leakage Impedance For Transformer Using Positive Sequence Voltage
Leakage Impedance For Transformer Using Zero Sequence Current
Leakage Impedance For transformer Using Zero Sequence Voltage
Negative Phase Current For Delta Connected Load
Negative Sequence Current For Star Connected Load
Negative Sequence Impedance For Delta Connected Load
28 More formulas!
Double L2G Fault
(30)
a-phase Current (LLGF)
a-phase EMF Using Positive Sequence Current (LLGF)
a-phase EMF Using Positive Sequence Impedance (LLGF)
a-phase EMF Using Positive Sequence Voltage (LLGF)
a-phase Voltage Using Zero Sequence Voltage (LLGF)
b-phase Current (LLGF)
b-phase Voltage (LLGF)
b-phase Voltage Using Fault Current (LLGF)
b-phase Voltage Using Zero Sequence Current (LLGF)
b-phase Voltage Using Zero-Sequence Voltage (LLGF)
20 More formulas!
Delta Impedance
(4)
Delta Impedance For Delta Connected Load Using Negative Sequence Current
Delta Impedance For Delta Connected Load Using Positive Sequence Current
Delta Impedance For Delta Connected Load Using Positive Sequence Voltage
Delta Impedance Using Star Impedance
L2L Fault
(18)
a-phase Current (LLF)
b-phase Current (LLF)
b-phase Current Using Fault Impedance (LLF)
b-phase Voltage (LLF)
b-phase Voltage Using c-phase Current (LLF)
c-phase Current Using Fault Impedance (LLF)
c-phase Current(LLF)
c-phase Voltage (LLF)
c-phase Voltage Using c-phase Current (LLF)
Fault Impedance Using b-phase Current (LLF)
8 More formulas!
Single L2G Fault
(43)
A-phase Current using a-phase voltage(LGF)
a-phase Current Using Fault impedance (LGF)
a-phase Current Using Negative Sequence Current (LGF)
a-phase Current Using Positive Sequence Current (LGF)
a-phase Current Using Zero Sequence Current (LGF)
a-phase EMF Using Fault Impedance (LGF)
a-phase EMF Using Negative Sequence Current (LGF)
a-phase EMF Using Positive Sequence Current(LGF)
a-phase EMF Using Positive Sequence Voltage (LGF)
a-phase EMF Using Sequence Impedances(LGF)
33 More formulas!
Fundamental Formulas
(5)
Hydro Power
Phase current for balanced three-phase delta connection
Phase voltage for balanced three-phase star connection
Tidal power
wind power
Open conductor fault
One conductor open
(27)
a-phase Current (1OC)
a-phase EMF Using Zero Sequence Impedance (1OC)
b-phase Current
c-phase Current (1OC)
Negative Sequence Current Using Negative Sequence Impedance(1OC)
Negative Sequence Current Using Positive Sequence Current (1OC)
Negative Sequence Impedance Using Negative Sequence Voltage (1OC)
Negative Sequence Potential Difference Using Potential Difference Between a-Phase (1OC)
Negative Sequence Voltage Using Negative Sequence Impedance (1OC)
Positive Sequence Current Using Negative Sequence Current(1OC)
17 More formulas!
Two conductors open
(28)
a-phase Current (2OC)
a-phase EMF Using Positive Sequence Current (2OC)
a-phase EMF Using Positive Sequence Voltage (2OC)
b-phase Current (2OC)
c-phase Current (2OC)
Negative Sequence Current (2OC)
Negative Sequence Current Using Negative Sequence Voltage (2OC)
Negative Sequence Impedance Using a-phase EMf (2OC)
Negative Sequence Impedance Using Negative Sequence Voltage (2OC)
Negative Sequence Potential Difference (2OC)
18 More formulas!
Three conductors open
(11)
a-phase Current (3oc)
b-phase Current (3oc)
c-phase Current (3oc)
c-phase Potential Differences (3oc)
Negative Sequence Current (3oc)
Positive Sequence Current (3oc)
Potential Difference Between a-Phase (3oc)
Potential Difference Between b-Phase (3oc)
Potential Difference Between c-Phase (3oc)
Zero Sequence Current (3oc)
1 More formulas!
Operational Factors
(7)
Average Load
Demand Factor
Diversity Factor
Load Factor
Plant Capacity Factor
Plant Use Factor
Reserve Capacity
Per Unit System
(6)
Base Current
Base Current for Three- phase System
Base Impedance
Base Impedance
Base Power
Base Voltage
Transmission Lines
Long Transmission Lines
Medium Transmission Lines
End Condenser Method
(7)
Capacitive Current(ECM)
Impedance(ECM)
Receiving End Current(ECM)
Receiving End Voltage(ECM)
Sending End Current Using Impedance(ECM)
Sending End Current(ECM)
Sending End Voltage(ECM)
Losses
(3)
Losses(ECM)
Resistance Using Losses(ECM)
Sending End Current Using Losses(ECM)
Sending End Power
(6)
Losses Using Sending End Power(ECM)
Receiving End Angle Using Sending End Power(ECM)
Receiving End Current Using Sending End Power(ECM)
Receiving End Power Using Sending End Power(ECM)
Receiving End Voltage Using Sending End Power(ECM)
Sending End Power(ECM)
Transmission Efficiency
(11)
Losses Using Transmission Efficiency(ECM)
Receiving End Angle Using Transmission Efficiency(ECM)
Receiving End Current Using Transmission Efficiency(ECM)
Receiving End Power Using Transmission Efficiency(ECM)
Receiving End Voltage Using Transmission Efficiency(ECM)
Resistance Using Transmission Efficiency(ECM)
Sending End Angle Using Transmission Efficiency(ECM)
Sending End Current Using Transmission Efficiency(ECM)
Sending End Power Using Transmission Efficiency(ECM)
Sending End Voltage Using Transmission Efficiency(ECM)
1 More formulas!
Voltage Regulation
(3)
Receiving End Voltage Using Voltage Regulation(ECM)
Sending End Voltage Using Voltage Regulation(ECM)
Voltage Regulation(ECM)
Nominal T-method
(19)
Capacitive Current (Nominal T-method)
Capacitive Voltage (Nominal T-method)
Capacitive Voltage Using Sending End Voltage (Nominal T-method)
Impedance Using Capacitive Voltage (Nominal T-method)
Impedance Using Sending End Voltage (Nominal T-method)
Losses (Nominal T-method)
Losses Using Sending End Power (Nominal T-method)
Receiving End Angle Using Sending End Power (Nominal T-method)
Receiving End Current (Nominal T-method)
Receiving End Current Using Capacitive Voltage (Nominal T-method)
9 More formulas!
Transmission Efficiency
(11)
Losses Using Transmission Efficiency (Nominal T-method)
Receiving End Angle Using Transmission Efficiency (Nominal T-method)
Receiving End Current Using Transmission Efficiency (Nominal T-method)
Receiving End Power Using Transmission Efficiency (Nominal T-method)
Receiving End Voltage Using Transmission Efficiency (Nominal T-method)
Resistance Using Transmission Efficiency (Nominal T-method)
Sending End Angle Using Transmission Efficiency (Nominal T-method)
Sending End Current Using Transmission Efficiency (Nominal T-method)
Sending End Power Using Transmission Efficiency (Nominal T-method)
Sending End Voltage Using Transmission Efficiency (Nominal T-method)
1 More formulas!
Voltage Regulation
(3)
Receiving End Voltage Using Voltage Regulation (Nominal T-method)
Sending End Voltage Using Voltage Regulation (Nominal T-method)
Voltage Regulation
Nominal pi-method
(20)
Load Current Using Losses (Nominal pi-method)
Load Current Using Transmission Efficiency (Nominal pi-method)
Losses (Nominal pi-method)
Losses Using Sending End Power (Nominal pi-method)
Losses Using Transmission Efficiency (Nominal pi-method)
Receiving End Angle Using Sending End Power (Nominal pi-method)
Receiving End Angle Using Transmission Efficiency (Nominal pi-method)
Receiving End Current Using Sending End Power (Nominal pi-method)
Receiving End Current Using Transmission Efficiency (Nominal pi-method)
Receiving End Power Using Transmission Efficiency (Nominal pi-method)
10 More formulas!
Voltage Regulation
Short Transmission Lines
(34)
Impedance (STL)
Losses Using Sending and Receiving Voltages (STL)
Losses Using Transmission Efficiency (STL)
Receiving End Angle Using Losses (STL)
Receiving End Angle Using Receiving End Power (STL)
Receiving End Angle Using Transmission Efficiency (STL)
Receiving End Current Using Impedance (STL)
Receiving End Current Using Losses(STL)
Receiving End Current Using Receiving End Power (STL)
Receiving End Current Using Sending End Angle (STL)
24 More formulas!
Utilization of Electrical Energy
(24)
Average kW input to the furnace
Candle Power
Depreciation Factor
Depth of Penetration of eddy current into the charge
Dielectric Loss due to heating
Energy Efficiency
Heat Conduction
Heat Radiation
Illumination
Illumination by Lambert Cosine Law
14 More formulas!
Electric Traction
(20)
Coefficient of Adhesion
Crest Speed when time for acceleration is given
Energy required for overcoming the gradient and tracking resistance
Gradient of train for the proper movement of traffic
maximum power output from driving axle
power output of motor when the efficiency of gear transmission is given
Retardation of Train
Schedule Speed
Schedule Time
Schedule time of run
10 More formulas!
Electronics and Instrumentation
Electrical and Electronics Instrumentation (EEI)
ADC Type
Dual Slope/Integrating Type
(3)
Conversion Time
Number of Pulses
Value of V<sub>a</sub>
Linear Ramp Type
(4)
Maximum Number of Clock Pulses
Total Conversion Time of Linear Ramp Type
Value of T<sub>1</sub>
Value of T<sub>2</sub>
Bridges
Anderson's Bridge
(3)
Value of I<sub>c</sub>
Value of Unknown Inductance
Value of Unknown Resistance
De Sauty Bridge
(3)
Value of Dissipation Factor
Value of Unknown Capacitance
Value of Unknown Capacitance with Dielectric Losses
Hays' Bridge
(3)
Value of Quality Factor
Value of Unknown Inductance
Value of Unknown Resistance
Kelvin's Bridge
(3)
Value of R<sub>ab</sub>
Value of R<sub>cb</sub>
Value of Unknown Resistance
Maxwell's Bridge
(3)
Vale of Unknown Inductance
Value of Quality Factor
Value of Unknown Resistance
Schering's Bridge
(3)
Value of Quality Factor
Value of Unknown Capacitance
Value of Unknown Resistance
Wheatstone Bridge
Balanced Condition
(1)
Value of Unknown Resistance
Unbalanced Condition
(2)
Value of Thevenin Resistance
Value of Total Current
Wien's Bridge
(3)
Value of f
Value of Resistance Ratio
Value of ω
DAC Type
Binary Weighted
(1)
V<sub>o</sub> of Binary Weighted Type DAC
Inverted R-2R
(1)
V<sub>o</sub> of Inverted R-2R Linear Type DAC
R-2R Linear
(1)
V<sub>o</sub> of R-2R Linear Type DAC
Electrodynamometer Type Instrument
(6)
Deflecting Torque of ED Instrument (AC Operation)
Deflecting Torque of ED Instrument (DC Operation)
Deflecting Torque of ED Instrument (Voltmeter)
Deflection Angle of ED Instrument (AC Operation)
Deflection Angle of ED Instrument (DC Operation)
Deflection Angle of ED Instrument (Voltmeter)
Electrodynamometer Type Wattmeter
(2)
Angle of Deflection of ED Wattmeter
Deflecting Torque of ED Wattmeter
Energy Meter
(2)
Braking Torque in an Energy Meter
Driving Torque in an Energy Meter
Function Generators
Triangle to Square
(4)
Charging/Discharging Time
Lower Trigger Point Voltage
Time Period of Wave
Upper Trigger Point Voltage
Triangle to Sine
(3)
V<sub>out</sub> with D<sub>1</sub>
V<sub>out</sub> with D<sub>2</sub>
V<sub>out</sub> without D<sub>1</sub> and D<sub>2</sub>
Frequency Measurement
(1)
Unknown Frequency using CRO
High Voltage Measurements
Capacitance Potential Divider
(2)
V<sub>s</sub> for C<sub>2</sub> >> C<sub>v</sub>
Value of V<sub>s</sub>
Ryall Crest Voltmeter
(1)
Value of Voltage through Meter
Transformer Ratio Method
(2)
Turns Ratio
Voltage in Secondary Coil
Moving Iron
(6)
Angular Deflection of Moving Iron
Deflecting Torque of Moving Iron
m of Moving Iron Ammeter
m of Moving Iron Voltmeter
Time Constant of Moving Iron Ammeter
Voltage of Moving Iron Voltmeter
Magnetic Measurements
(1)
Average Current through Galvanometer
Ohmmeter
Series Type
(3)
Value of R<sub>1</sub>
Value of R<sub>2</sub>
Value of R<sub>h</sub>
Shunt Type
(3)
Value of I<sub>m</sub>
Value of R<sub>h</sub>
Value of S
Permanent Magnet Moving Coil
(9)
Angle of deflection of PMMC
Deflecting torque of PMMC instrument
m of PMMC based Ammeter
m of PMMC based voltmeter
n<sup>th</sup> resistance in multi-range Ammeter
n<sup>th</sup> resistance in multi-range voltmeter
R<sub>s</sub> of PMMC based voltmeter
R<sub>sh</sub> of PMMC based Ammeter
Resistance at switch position 'n' for multi range Ammeter
Power in Circuits
(3)
AC Power
DC Power (in Current Terms)
DC Power (in Voltage Terms)
Power in 3 Phase Circuits
2 Wattmeter Method
(3)
Power in Wattmeter 1
Power in Wattmeter 2
Total Power
3 Wattmeter Method
(1)
Total Power
Potentiometer
AC Potentiometer
(2)
Magnitude of Voltage
Phase Angle
Co-ordinate Type
(2)
Value of Effective Resistance
Voltage Output of Volt Ratio Box
Transfer Instrument Type
(2)
Reactance of Coil
Resistance of Coil
Multirange Potentiometer
(3)
Value of I<sub>m</sub>
Value of I'<sub>m</sub>
Value of R<sub>2</sub>
Q Meter
(6)
Measured Value of Charge
True Value of Charge
Value of C<sub>d</sub>
Value of C<sub>T</sub>
Value of Inductance
Value of Resistance
Rectifier Type
(11)
AC Meter Sensitivity for Full Wave Rectifier
AC Meter Sensitivity for Half Wave Rectifier
AC Voltage
DC Meter Sensitivity
R<sub>s</sub> for AC Operation (Full Wave)
R<sub>s</sub> for AC Operation (Half Wave)
R<sub>s</sub> for DC Operation (Full Wave)
R<sub>s</sub> for DC Operation (Half Wave)
V<sub>av</sub> of Full Scale Rectifier
V<sub>av</sub> of Half Wave Rectifier
1 More formulas!
Signal Generators
Audio Frequency Range
Wein Bridge Oscillator
(2)
Frequency of Oscillation of Wein Bridge
Voltage Gain
Modified Wein Bridge Oscillator
(2)
Voltage Gain for large Amplitude
Voltage Gain for small Amplitude
Radio Frequency Range
Colpitts Oscillator
(2)
Effective Capacitance
Frequency of Oscillation
Harley Oscillator
(2)
Effective Inductance
Frequency of Oscillation of Hartley Oscillator
Hartley Oscillator using Op-Amp
(2)
Frequency of Oscillation of Op-Amp
Voltage Gain of Op-Amp
Thermocouple Wattmeter
(2)
EMF across Galvanometer
Instantaneous Deflecting Torque
Materials Science
Ceramics and Composites
(10)
Critical fiber length
Longitudinal strength of composite
Longitudinal strength of discontinuous fiber-reinforced composite
Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length)
Percent ionic character
Schottky Defect Concentration
Young's Modulus from shear modulus
Young's Modulus of composite in longitudinal direction
Young's Modulus of composite in transverse direction
Young's Modulus of porous material
0 More formulas!
Mechanical Behaviour and Testing
(28)
ASTM grain size number to Number of grains
Brinell hardness
Critical stress for crack propagation
Engineering strain
Engineering stress
Fracture toughness
Hall - Petch Relation
Knoop hardness
Maximum shear stress from Tresca criterion
Maximum shear stress from von mises criterion
18 More formulas!
Phase Diagrams and Phase Transformations
(26)
Atom percent
Atom percent to mass percent
Avrami equation
Critical free energy for nucleation
Critical free energy for nucleation( from volume free energy)
Critical radius of nucleus
Critical radius of nucleus (from volume free energy)
Density of cubic crystals
Diffusion Flux
Energy of photon
16 More formulas!
Structure Of Materials
Mechanical
Fluid Mechanics
(125)
Absolute Pressure at a Height h
Angle of Inclined Manometer When Pressure at a Point is Given
Angle of Inclined Manometer When Sensitivity is Given
Angle of Jet When Maximum Vertical Elevation is Given
Angle of Jet When Time of Flight of Liquid Jet is Given
Angle of Jet When Time to Reach the Highest Point is Given
Area of Surface Wetted When Center of Pressure is Given
Area of the Surface Wetted When Total Hydrostatic Force is Given
Body Force Work Rate
Bulk Modulus
115 More formulas!
Hypersonic Flow
(20)
Axial force coefficient
Coefficient of drag
Coefficient of pressure with similarity parameters
Deflection angle
Drag force
Dynamic pressure
Dynamic pressure based on coefficient of lift
Fourier’s law of heat conduction
Hypersonic similarity parameter
lift coefficient
10 More formulas!
Blast-wave part 2
(6)
Exact pressure coefficient for blast wave theory
Pressure coefficient combined with blast wave for the shuttle
Pressure coefficient combined with blast wave for the shuttle at angle of attack
Pressure coefficient for blast wave theory at very high values of mach
Pressure coefficient for Blunt-nosed cylinder:
Pressure coefficient for Blunt-nosed plate:
Boundary-Layer Equations for Hypersonic Flow: Self-Similar Solutions
(20)
Adiabatic wall enthalpy using Stanton number
Enthalpy of wall using Stanton number
Local heat-transfer rate calculation using Stanton number
local heat-transfer rate using Nusselt's number
local shear stress at the wall
Local skin-friction coefficient
Nusselt number for hypersonic vehicle
Nusselt's number with Reynolds number, the Stanton number and Prandtl number
Prandtl number with Reynolds number, Nusselt's number, Stanton number and Stanton number
Reynolds number for given Nusselt's number, Stanton number and Prandtl number
10 More formulas!
COMPUTATIONAL-FLUID-DYNAMIC SOLUTIONS
(4)
Emissivity
Freestream density
Freestream velocity
Reference viscosity
ELEMENTS OF KINETIC THEORY
(14)
Emissivity per unit mole
Kinetic energy per mole
Kinetic energy per mole using molar volume
Kinetic energy per mole using temperature of gas
Mean free path of a single-species gas,
Molar volume using kinetic energy per mole
Number density
Pressure of gas using number density
Pressure using kinetic energy per mole
Pressure using molar volume
4 More formulas!
Flat-Plate for Viscous flow case
(15)
Adiabatic wall enthalpy for flat plate
Adiabatic wall enthalpy using recovery factor
Coefficient of friction using Stanton number for flat plat case
Drag per unit span
Overall skin-friction drag Coefficient
Prandtl number for flat plate viscous flow
Recovery factor calculation using Prandtl number
Recovery factor for flat plate with viscous flow
Recovery Factor using temperature
Skin-friction drag for flat plate in viscous flow
5 More formulas!
Approximate Results Applied to Hypersonic Vehicles
(11)
Adiabatic wall enthalpy over flat plate using Stanton number
Free stream enthalpy over a flat plate with freestream conditions
Free stream velocity over a flat plate using drag force
Free stream velocity over a flat plate with freestream conditions
Freestream density over flat plate using Stanton number
Freestream density over the flat under the freestream flow conditions
Freestream velocity over flat plate using Stanton number
Insulated flat plate, the strong interaction
Insulated flat plate, the weak interaction
Total enthalpy over a flat plate with freestream conditions
1 More formulas!
Hypersonic Transition
(16)
Boundary-layer momentum thickness using Reynolds number at transition point
Eddy viscosity calculation
Local Mach Number using Reynolds number equation at transition region
Location of the transition point
Prandtl number of the transition flow
Reynolds number equation using boundary-layer momentum thickness
Reynolds number equation using local Mach number
Specific heat at constant pressure for transient flow
Static density at transition point
Static density equation using boundary-layer momentum thickness
6 More formulas!
Reference Temperature Method
(13)
Chord length for flat plate case
Local Reynolds number
local skin-friction coefficient
Local turbulent skin-friction coefficient for incompressible flow
Overall skin-friction drag coefficient
Overall skin-friction drag coefficient for incompressible flow
Reynolds number for chord length
Reynolds number for chord length using the Overall skin-friction drag coefficient
Stanton Number obtained from classical theory
Static density of the plate using chord length for flat plate case
3 More formulas!
Hypersonic Flight Paths: Velocity-Altitude Map
(9)
Blunt-nosed radial coordinate flat plate (first approximation):
Forces acting on body along the flight path
Forces acting Perpendicular to the body on the flight path
Pressure ratio of Blunt-nosed cylinder (first approximation):
Radial coordinate of Blunt-nosed cylinder (first approximation):
Radius for the cylinder-wedge body shape
Radius for the sphere-cone body shape
Radius of curvature for the cylinder-wedge
Radius of curvature for the sphere-cone body shape
Hypersonic Inviscid Flowfields: Approximate Methods
(12)
Coefficient of pressure with slenderness ratio
Non dimensional radius for hypersonic vehicles
Non-dimensional density
Non-dimensional density for high mach number
Non-dimensional parallel velocity component for high mach number
Non-dimensional perpendicular velocity component for high mach number
Non-dimensional pressure
Non-dimensional pressure for high mach number
Slenderness ratio with cone radius for hypersonic vehicle
Transformed conical variable
2 More formulas!
Hypersonic Small-Disturbance Equations
(17)
Change in velocity for hypersonic flow in x direction
Coefficient of pressure with slenderness ratio
Coefficient of pressure with slenderness ratio and similarity constant
Constant g used for finding the location of perturbed shock
Density ratio with similarity constant having slenderness ratio
Distance from tip of the leading edge to the base
Doty and Rasmussen - normal-force coefficient
Inverse of density for hypersonic flow
Inverse of density for hypersonic flow using mach number
Non dimensional Change in hypersonic disturbance velocity in x direction
7 More formulas!
Hypersonic Equivalence Principle and Blast-Wave Theory
(16)
Blunt-nosed flat plate pressure ratio (first approximation)
Boltzmann constant for cylindrical blast wave
Coefficient of drag equation using energy released from blast wave
Energy for the blast wave
formula For creation pressure for the planar blast wave
Modified Energy for the cylindrical blast wave
Modified pressure equation for cylindrical blast wave
Modified Radial coordinate equation for cylindrical blast wave
Pressure for the cylindrical blast wave
Pressure ratio for blunt cylinder blast wave
6 More formulas!
Hypersonic Inviscid Flowfields: Exact Methods
(18)
Density before shock formation for compression wave
Density before the shock formation for expansion wave
Detachment distance of cylinder-wedge
Detachment distance of sphere cone
Grid point calculation for shock waves
Local shock velocity equation
Mach wave behind the shock
Mach wave behind the shock with mach infinity
New pressure after the shock formation for compression wave
New pressure after the shock formation, subtracted to velocity for expansion wave
8 More formulas!
Hypersonic Viscous Interactions
(11)
Mach number over a flat plate using static temperature and wall temperature
Pressure ratio for cold-wall case the strong interaction
Pressure ratio for cold-wall case the weak interaction
Static temperature of fluid over the flat plate
Static temperature of the plate using the wall viscosity
Static temperature over a flat plate under viscous, very high Mach flow
Total temperature over a flat plate under viscous Mach flow
Total temperature over a flat plate under viscous very high Mach flow
Wall temperature of fluid over the flat plate
Wall temperature of the plate using the wall viscosity
1 More formulas!
Laminar boundary layer at a stagnation point on a blunt body,
(7)
Dynamic pressure
Newtonian pressure distribution over the surface using cosine angle
Nusselt number at the stagnation point
Nusselt number for stagnation point on blunt body
Reynolds analogy factor in Finite deference method
Reynolds analogy for Stanton number in finite difference method
Stagnation pressure
Newtonian Flow
(14)
Coefficient of drag equation with angle of attack
Coefficient of drag equation with coefficient of normal force
Coefficient of lift equation with angle of attack
Coefficient of lift equation with coefficient of normal force
Drag force with angle of attack
exact normal shock-wave maximum coefficient of pressure
Force F exerted on the surface
Lift force with angle of attack
Mass flux incident on a surface area
Maximum Pressure coefficient
4 More formulas!
Space-Marching Finite Difference Method: Additional Solutions of the Euler Equations
(9)
Coefficient of pressure equation using specific heat ratio
curvilinear grid location equation
Density equation using enthalpy and pressure
Enthalpy equation using coefficient of pressure for calorically perfect gas
Enthalpy equation using pressure and density
Free stream enthalpy
local shock-layer thickness
pressure equation using Enthalpy and density
Total enthalpy
Viscous Flow: Basic Aspects, Boundary Layer Results, and Aerodynamic Heating
(16)
Aerodynamic heating to the surface
Chapman–Rubesin factor
Coefficient of friction using Stanton equation for incompressible flow
Density calculation using Chapman–Rubesin factor
internal energy for hypersonic flow
Non dimensional internal energy parameter
Non dimensional internal energy parameter using wall-to-freestream temperature ratio
Non dimensional static enthalpy
Stanton equation using Overall skin friction coefficient for incompressible flow
Stanton number for incompressible flow
6 More formulas!
Modern design-oriented code
(2)
Convective heat transfer to the surface
Radiative heat transfer to the surface stemming from thermal radiation
oblique shock relation
(15)
Coefficient of pressure derived from oblique shock theory
Density ratio when Mach become infinite
Dynamic pressure for given specific heat ratio and Mach number
Exact Density Ratio
Exact pressure ratio
Exact relation for pressure coefficient behind an oblique shock wave
Exact relation for pressure coefficient behind an oblique shock wave when Mach no. tends to infinite
Non-dimensional pressure coefficient
Parallel upstream flow components after shock as Mach tends to infinite
Perpendicular upstream flow components behind the shock wave
5 More formulas!
Heat Transfer
(15)
Newton's law of cooling
Absolute humidity of air at initial air temperature
Black bodies heat exchange by radiation
Convective processes heat transfer coefficient
Critical Thickness of Insulation for a Cylinder
Diameter of a Rod Circular Fin when area of cross-section is Given
Heat Exchange By Radiation Due To Geometric Arrangement
Heat flux
Heat transfer
Heat Transfer According to Fourier's Law
5 More formulas!
Industrial Engineering
(52)
Binomial distribution
Crashing
Early Finish Time
EOQ Manufacturing Model with No Shortage
EOQ Manufacturing Model with Shortage
EOQ Purchase Model with No Shortage
EOQ Purchase Model with Shortage
Expected length of non-empty queue
Expected number of customers in the queue
Expected number of customers in the system
42 More formulas!
Manufacturing
(42)
Aspiration Effect
Atomic Packing Factor
Atomic Packing Factor Percentage
Bend Allowance
Bite Angle
Bottom Gating
Caine's Formula
Coefficient of Friction
Coefficient of Friction (using forces)
Cutting Speed
32 More formulas!
Machine Design
(13)
Bolt Stress
Factor of Safety
Maximum bending stress
Maximum bending stress when rectangular section modulus is given
Permissible tensile strength for double transverse fillet joint
Power Transmitted
Shear strength for double parallel fillet weld
Shear strength in parallel fillet weld
Shear Stress for long fillet weld subjected to torsion
Shear stress on circular fillet weld subjected to Torsion
3 More formulas!
Design of Machine Elements
(12)
Compressive Stress Of Spigot
Equivalent Stress By Distortion Energy Theory
Factor Of Safety For The bi-axial State Of Stress
Factor Of Safety For The Tri-axial State Of Stress
Permissible Shear Stress For Cotter
Permissible Shear Stress For Spigot
Polar Moment Of Inertia Of Hollow Circular Shaft
Polar Moment Of Inertia Of Solid Circular Shaft
Shear Yield Strength by Maximum Shear Stress Theory
Shear Yield Strength By The Maximum Distortion Energy Theory
2 More formulas!
Refrigeration and Air Conditioning
Air Refrigeration Cycles
(3)
Energy Performance Ratio of Heat Pump
Relative Coefficient of Performance
Theoretical Coefficient of Performance of a refrigerator
Bell-Coleman Cycle or Reversed Brayton or Joule Cycle
(4)
Compression or Expansion Ratio
COP of Bell-Coleman Cycle for given Compression ratio and adiabatic index(γ)
Heat Absorbed during Constant pressure Expansion Process
Heat Rejected during Constant pressure Cooling Process
Air Refrigeration Systems
(2)
Initial mass of evaporant required to be carried for a given flight time
Ram Efficiency
Simple Air Cooling System
(1)
Temperature ratio at the start and end of ramming process
Basics
(11)
Entropy change (Isobaric Process) (With given temperatures)
Entropy change (Isobaric Process) (With given volumes)
Entropy change (Isochoric Process) (With given pressures)
Entropy change (Isochoric Process) (With given temperatures)
Entropy change (Isothermal Process) (With given volumes)
Heat Transfer at Constant Pressure
Isobaric Work (for given mass and temperatures)
Isobaric Work (for given pressure and volumes)
Mass Flow Rate in a Steady Flow
Specific Heat Capacity at Constant Pressure
1 More formulas!
Strength of Materials
(52)
Axial elongation of prismatic bar due to external load
Bending Stress
Brinell Hardness Number
Bulk Modulus
Bulk Modulus
Bulk Strain
Bulk Stress
Deflection of fixed beam with load at center
Deflection of fixed beam with uniformly distributed load
Direct Stress
42 More formulas!
Thermodynamics
(119)
Newton's law of cooling
Ratio of specific heat
Absolute Humidity
Absolute Temperature
Air Fuel Ratio
Average speed of gases
Brake Thermal Efficiency
Brayton Cycle Efficiency
By Pass Factor
Carnot Cycle of Heat Engine
109 More formulas!
Production Engineering
(10)
Cutting Speed
Feed force
Initial diameter of the job
Machine Feed
Number of jobs revolution per unit time
Radial force
Required Duty cycle for arc welding
Side cutting edge angle for orthogonal cutting
Side rake angle for orthogonal cutting
Uncut chip thickness
0 More formulas!
Foundry (casting)
(33)
Actual casting mass from casting yield
Area at choke section of sprue
Area at top section of sprue
Buoyant force on cores
Buoyant force on cores from chaplet area
buoyant force on cylindrical cores placed horizontally
buoyant force on vertical cores
Casting mass using Bernoulli's equation
Casting yield
Casting yield in percentage
23 More formulas!
Permeability Number
(9)
Air Pressure during testing
Cross-sectional area of specimen
Height of specimen
Permeability number (standard specimen)
Pouring temperature from fluidity spiral length
Pressure during testing (standard specimen)
Time taken during testing
Time taken in standard specimen testing
Volume of air passed through specimen
Standard relations to calculate pouring time for different casting materials
(7)
Copper Alloy Castings
For Castings above 450 kg and up to 1000 kg
Grey Cast Iron, Mass greater than 450 kg
Grey Cast Iron, Mass less than 450 kg
Intricately Shaped Thin-walled Castings of Mass up to 450 kg
Shell-moulded Ductile Iron (vertical pouring)
Steel Castings
Rolling process
(15)
Angle subtended by Neutral point
Bite Angle
Factor H at Neutral point
Factor H used in Rolling calculations
Initial stock thickness when pressure on rolls is given
Maximum Reduction in Thickness Possible
Mean yield shear stress when pressure on entry side is given
Mean yield shear stress when pressure on exit side is given
Pressure on rolls when H is known (entry side)
Pressure on rolls when H is known (exit side)
5 More formulas!
Sheet Metal Operations
(16)
Average of tensile strength before and after ironing
Bend Allowance
Blank diameter from percent reduction
Blank Size for Drawing Operation
Blank size when there is corner radius on punch (15r ≤ d ≤ 20r)
Blank size when there is corner radius on punch (10r ≤ d ≤ 15r)
Blank size when there is corner radius on punch (d < 10r)
Clearance Between Two Shears
Drawing Force for Cylindrical shells
Ironing Force after drawing
6 More formulas!
Welding
(10)
Heat required to melt the joint
Heat transfer efficiency, α
Melting efficiency, ß
Net heat per unit volume available for Arc welding
Net heat supplied to the joint
Power when electric potential difference and electric current are given
Power, when electric current and resistance are given
Power, when electric potential difference and resistance are given,
Rated duty cycle when actual duty cycle is given
Total heat generated in resistance welding
0 More formulas!
Resistance spot welding parameters for mild steels
(4)
Current required to sustain welding
Electrode force
Electrode tip diameter
Weld time in cycles
Financial
Business
(22)
Acid Test Ratio
Beginning Inventory
Break-Even Point
Contribution Margin per Unit
Days in Inventory
Debt Coverage Ratio
Diluted Earnings per Share
Dividends Per Share
Economic Order Quantity
Estimate at completion
12 More formulas!
Financial Ratios
Liquidity Ratio
(2)
Business Current Ratio
Business Quick Ratio
Operating Ratio
(5)
Average Collection Period
Equity Multiplier
Inventory Turnover Ratio
Sales to Receivables Ratio
Total Asset Turnover
Profitability Ratio
(2)
Business Net Profit Margin
Business Operating Profit Margin
Business Gross Profit Margin
(2)
Business Gross Profit Margin when Gross Profit and Sales are given
Business Gross Profit Margin when Revenue and Cost of Goods Sold are given
Solvency Ratio
(2)
Debt to worth ratio
Working capital
Stock Ratio
(5)
Dividend Payout Ratio
Earnings per share
Price Book Value Ratio
Price Sales Ratio
Price-Earnings Ratio
Return on Equity (DuPont Model)
(2)
Return on Equity when Net Income is given
Return on Equity when Operating Profit is given
Retail Sales Mark-Up
(3)
Gross Profit
Markup Markdown Percentage
Profit Margin
Economy
(3)
Gross Domestic Product
Net exports of goods and services
Rate of Inflation
Financial Accounting
(17)
Annual Percentage Yield
Depletion Charge per Unit
Depletion Expense
Discount
Discount
Discount Lost
Discount Percentage
EBIT
Future Value of Annuity
List Price
7 More formulas!
Financial Ratios
Debt Ratio
(2)
Debt to Assets Ratio
Debt to Equity Ratio
Liquidity Ratios
(2)
Current Ratio
Quick Ratio
Profitability Ratio
(2)
Net Profit Margin
Operating Profit Margin
Gross Profit Margin
(2)
Gross Profit Margin when Gross Profit and Sales are given
Gross Profit Margin when Revenue and Cost of Goods Sold are given
Future Value of a Present Sum
(3)
Future Value of a Present Sum when Compounding Periods are given
Future Value of a Present Sum when the number of periods is given
Future Value of a Present Sum when the total number of periods is given
Leverage Ratios
(2)
Degree of Financial Leverage
Degree of Operating Leverage
Present Value of a Future Sum
(3)
Present Value of a Future Sum when compounding periods are given
Present Value of a Future Sum when number of periods is given
Present Value of a Future Sum when total number of periods is given
Investment
(24)
Actuarial Method Unearned Interest Loan
Annuity Payment
Capital Gains Yield
Certificate of Deposit
Compound Interest
Discounted Payback Period
Doubling Time
Doubling Time (Continuous Compounding)
Doubling Time (Simple Interest)
Jensen's Alpha
14 More formulas!
Bond Yield
(2)
Current Bond Yield
Yield to Maturity
Interest Rate
(2)
Annual Percentage Rate
Nominal Interest Rate
Return on Investment (ROI)
(2)
Return on Investment when Net Profit is given
Return on Investment when Return is given
Loan
EMI Loan
(1)
EMI
Loan Amount
(1)
Loan Amount
Loan Repayment
(2)
Monthly Payment
Number of Months
Monthly Payment of Car Loan
(1)
Monthly Payment of Car Loan
Mortgage and Real Estate
Mortgage
(2)
Debt Ratio
Monthly Mortgage Payment
Tax
Sales Tax
(2)
Sales Tax Amount
Total Sales Tax
Tax Equivalent Yield
(1)
Tax Equivalent Yield
Health
Fitness
(6)
BMR for female
BMR for male
Body Fat Percentage For Female
Body Fat Percentage For Male
Calorie Burn Rate
Running Pace
Heart
(3)
Heart Rate Based Calorie Burn For Female
Heart Rate Based Calorie Burn For Male
Maximum Heart Rate
Pathology
(27)
Absolute Lymphs
Absolute Neutrophil Count
Absolute Reticulocyte Count
Anion Gap
Arterial Oxygen Content
Bicarb Vd for Female
Bicarb Vd for Male
Blood Alcohol Content For Female
Blood Alcohol Content For Male
Calcium - Globulin Correction
17 More formulas!
Weight
(14)
Adjusted Body Weight for Female
Adjusted Body Weight for Male
BMI in Metric Units
BMI in U.S. Units
Body Adiposity Index For Male
Body Fat Of Female Body
Body Fat Of Male Body
Body Surface Area
Ideal Body Weight For Female
Ideal Body Weight For Male
4 More formulas!
Total Daily Energy Expenditure (TDEE) For Male
(5)
TDEE For Male for Extremely Active Lifestyle
TDEE For Male for Lightly Active Lifestyle
TDEE For Male for Moderately Active Lifestyle
TDEE For Male for Sedentary Lifestyle
TDEE For Male for Very Active Lifestyle
Total Daily Energy Expenditure (TDEE) For Female
(5)
TDEE For Female for Extremely Active Lifestyle
TDEE For Female for Lightly Active Lifestyle
TDEE For Female for Moderately Active Lifestyle
TDEE For Female for Sedentary Lifestyle
TDEE For Female for Very Active Lifestyle
Math
3-D Geometry
Coordinate Geometry
Angle in 3D space
(5)
Angle between line and plane given coefficients of line and plane
Angle between two lines given direction cosines of that two lines w.r.to x, y & z axis
angle between two lines given direction ratios of that two lines w.r.to x, y & z axis
Angle between two planes
angle made by direction cosines of two lines in sine form
Coefficients
(8)
constant coefficient of plane 2 given distance between 2 || planes & direction ratios of planes
constant coefficient of plane given ⊥ distance between plane and a point and coordinates of point
constant coefficient of sphere given centre & radius of sphere of form x2+y2+z2+2ux +2vy+2wz+d=0
D in std equation of plane using dist. b/w 2 || planes,D.R.s when distance is positive
ratio in which line joining two points P & Q is divided by plane xy
ratio in which line joining two points P & Q is divided by plane yz
ratio in which line joining two points P & Q is divided by plane zx
Relation between direction cosines of coordinate axes
Direction cosine
(39)
Direction cosine of a line w.r.to x-axis
Direction cosine of a line w.r.to y axis
Direction cosine of a line w.r.to z axis
Direction cosine of line1 w.r.to x axis given angle between line 1 & 2
Direction cosine of line1 w.r.to y axis given angle between line 1 & 2
Direction cosine of line1 w.r.to z axis given angle between line 1 & 2
Direction cosine of line2 w.r.to x axis given angle between line 1 & 2
Direction cosine of line2 w.r.to y axis given angle between line 1 & 2
Direction cosine of line2 w.r.to z axis given angle between line 1 & 2
Direction cosine of plane1 w.r.to x axis given plane1 & 2 are || & direction cosines w.r.to y axis
29 More formulas!
Direction ratio
(12)
Direction ratio given projection of line on x axis and length of line
Direction ratio given projection of line on x axis and length of line
Direction ratio given projection of line on y axis and length of line
Direction ratio given projection of line on z axis and length of line
direction ratio of a line given x coordinates of end points of line
direction ratio of a line given y coordinates of end points of line
direction ratio of a line given z coordinates of end points of line
direction ratio of plane w.r.to x axis given ⊥ distance between plane and a point
direction ratio of plane w.r.to y axis given ⊥ distance between plane and a point
direction ratio of plane w.r.to z axis given ⊥ distance between plane and a point
2 More formulas!
Distance in 3D space
(27)
⊥ distance from the origin to the plane given direction cosine w.r.to x axis
⊥ distance from the origin to the plane given direction cosine w.r.to y axis
⊥ distance from the origin to the plane given direction cosine w.r.to z axis
⊥ distance from the origin to the plane given direction cosines of normal from origin to plane
D in std equation of a plane given dist. b/w || planes,D.R.s taking dist. -ve
distance between 2 || planes of form ax + by + cz + d1 = 0 & ax + by + cz + d2 = 0
Distance between plane in normal formal and a point
Distance between two points P(x1,y1,z1) & Q(x2,y2,z2)
Distance of a point from origin
Distance of a point from plane
17 More formulas!
x coordinates in 3D space
(18)
x coordinate of a point given distance from origin to point and y & z coordinate of that point
x coordinate of a point given y coordinate and Perpendicular distance of that point from z axis
x coordinate of a point given z coordinate and Perpendicular distance of that point from y axis
x coordinate of centre of sphere given radius and y, z coordinates of sphere
x coordinate of centre of sphere of form x2+y2+z2+2ux +2vy+2wz+d=0 & radius of sphere
x coordinate of centre of sphere of form x2+y2+z2+(2u/a)x+(2v/a)y+(2w/a)z+ d/a=0
x coordinate of centroid of tetrahedron
x coordinate of centroid of triangle
x coordinate of foot of perpendicular N from the origin on the plane
x coordinate of normal given direction cosines & ⊥ distance from the origin to the plane
8 More formulas!
y coordinates in 3D space
(18)
y coordinate of a point given distance from origin to point and x & z coordinate of that point
y coordinate of a point given x coordinate and Perpendicular distance of that point from z axis
y coordinate of a point given z coordinate and Perpendicular distance of that point from x axis
y coordinate of centre of sphere given radius and x, z coordinates of sphere
y coordinate of centre of sphere of form x2+y2+z2+2ux +2vy+2wz+d=0 & radius of sphere
y coordinate of centre of sphere of form x2+y2+z2+(2u/a)x+(2v/a)y+(2w/a)z+ d/a=0
y coordinate of centroid of tetrahedron
y coordinate of centroid of triangle
y coordinate of foot of perpendicular N from the origin on the plane
y coordinate of normal given direction cosines & ⊥ distance from the origin to the plane
8 More formulas!
z coordinates in 3D space
(18)
z coordinate of a point given distance from origin to point and x & y coordinate of that point
z coordinate of a point given x coordinate and Perpendicular distance of that point from y axis
z coordinate of a point given y coordinate and Perpendicular distance of that point from x axis
z coordinate of centre of sphere given radius and x, y coordinates of sphere
z coordinate of centre of sphere of form x2+y2+z2+2ux +2vy+2wz+d=0 & radius of sphere
z coordinate of centre of sphere of form x2+y2+z2+(2u/a)x+(2v/a)y+(2w/a)z+ d/a=0
z coordinate of centroid of tetrahedron
z coordinate of centroid of triangle
z coordinate of foot of perpendicular N from the origin on the plane
z coordinate of normal given direction cosines & ⊥ distance from the origin to the plane
8 More formulas!
Algebra
(7)
Cube Root of number
Exponentiation
Factorial of a Number
Logarithm of a Number
Nth Root of a Number
Rule Of Three
Square Root Of Number
Combinatorics
(13)
Number of chord on circle
Number of permutations of n different things taken all at a time
Number of rectangle
Total function from set A to set B
Total number of non empty proper subset
Total number of non empty subset
Total number of odd subset
Total number of proper subset
Total number of relation
Total number of subset
3 More formulas!
Percentage Of Numbers
(5)
C is what percent of A
C is What Percent of B
Percentage Decrease in number
Percentage Increase in number
What is A Percent of B?
Quadratic Equation
(3)
Discriminant of an quadratic equation
First Factor of Quadratic Equation
Second Factor of quadratic Equation
Arithmetic
(18)
Addition Of Two Numbers
Angle on the remaining part of the circumference when another angle on same chord is given
Area of triangle having a side of parallelogram as base when corresponding height is given
Central angle when measure of arc intercepted is given
Diagonal of cube given LSA
Division Of two numbers
HCF when LCM and product given
Hypotenuse using Pythagoras Theorem
LCM when HCF and product is given
LSA of cube given diagonal
8 More formulas!
Geometry
(106)
Arc Length
Area of a rhombus when inradius and angle are given
Area of a rhombus when one diagonal and half-angle is given
Area of a rhombus when side and angle are given
Area of a rhombus when side and height are given
Area of a rhombus when side and inradius are given
Area of a trapezoid when midline is given
Area of an ellipse
Area of regular polygon with perimeter and circumradius
Area of regular polygon with perimeter and inradius
96 More formulas!
2D Geometry
(21)
Area of triangle given 3 points
co-efficient of x when slope of a line and y-co-efficient are given
co-efficient of y when slope of a line and x-co-efficient are given
Diagonal e of cyclic quadrilateral
Distance between 2 points
Fourth angle of quadrilateral when three angles are given
Lateral edge length of a Right square pyramid when side length and slant height are given
Number Of Edges
Number Of Faces
Number of straight lines formed by joining n non-collinear points
11 More formulas!
Antiparallelogram
(11)
Angle α of antiparallelogram
Angle β of antiparallelogram
Angle γ of antiparallelogram
Chord (s) of antiparallelogram
Chord (t) of antiparallelogram
height of antiparallelogram
Long side of Antiparallelogram
Long side of antiparallelogram given perimeter
Outer angle of antiparallelogram
Perimeter of antiparallelogram
1 More formulas!
Circle
(15)
Angle formed at centre when angle formed at other point on circumference is known
Angle formed at circumference when angle formed at centre subtended by same arc is known
Angle formed at the centre when area of sector is given
Angle formed by an intersecting tangent and chord
Angle inscribed by given arc
Angle of intersection between two circles
Angle subtended by given arc at centre
Angle subtended inside a circle by given intersecting lines and arcs
Angle subtended to exterior of circle by given arc
Arc length of the circle when central angle and radius are given
5 More formulas!
Area of the circle
(4)
Area of a Circle when area of sector is given
Area of a Circle when circumference is given
Area of a Circle when diameter is given
Area of a Circle when radius is given
Arc of a Circle
(3)
Arc Angle from Arc length and Radius
Arc length from Radius and Arc Angle
Arc measure
Circumference of Circle
(2)
Circumference of Circle
Circumference of the circle when the area of the circle is given
Circular Ring
(2)
Area of the ring
Perimeter of a ring
Quadrant of a circle
(3)
Area of a quarter circle when area of circle is given
Area of the quadrant
Perimeter of a quadrant
Radius of Circle
(5)
Radius of Circle from Arc Angle and Arc Length
Radius of Circle from Arc Angle and Area
Radius of circle given centre (h,k) and point(x,y)
Radius of circle when area of sector and angle are given
radius of circle with center at origin
Radius of circumcircle
(18)
Radius of circumscribed circle of a isosceles trapezoid given semiperimeter and larger base length.
Radius of the circumcircle of a regular hexagon
Radius of the circumcircle of a regular hexagon
Radius of the circumcircle of a triangle
Radius of the circumcircle of a triangle
Radius of the circumscribed circle of a rectangle given diagonal
Radius of the circumscribed circle of a rectangle given two sides
Radius of the circumscribed circle of a regular polygon
Radius of the circumscribed circle of a right triangle when given hypotenuse
Radius of the circumscribed circle of a right triangle when two sides are given
8 More formulas!
Radius of circle inscribed
(21)
Radius of a circle inscribed in an isosceles triangle given side a and height
Radius of a circle inscribed in an isosceles triangle given side and angle
Radius of a circle inscribed in an isosceles triangle given side b and angle
Radius of a circle inscribed in an isosceles triangle given side b and height
Radius of a circle inscribed in an isosceles triangle given sides
Radius of a inscribed circle in an isosceles trapezoid given bases
Radius of a inscribed circle in an isosceles trapezoid given height
Radius of a inscribed circle of a regular hexagon given side
Radius of a inscribed circle of a regular polygon given side and number of sides
Radius of a inscribed circle of a rhombus given diagonals
11 More formulas!
Segment of a circle
(6)
Area of a segment
Height of a segment of a circle if given chord and central angle
Height of a segment of a circle if given chord and central angle
Height of a segment of a circle if given radius and chord
Height of segment of a circle if given radius and central angle
Perimeter of a segment
Sector of a circle
(6)
Area of Sector when Radius and Angle in Degrees are Given
Area of Sector When Radius and Angle in Radians are Given
Perimeter of a sector when angle subtended by an arc at center is given
Sector angle from radius and Arc length
Sector angle from radius and Sector Area
Sector Area from Arc length and Radius
Tangent of a circle
(2)
Length of direct common tangent
Length of transverse common tangent
Cyclic Quadrilateral
(14)
Angle at A of cyclic quadrilateral
Angle at B of cyclic quadrilateral
Area of cyclic quadrilateral given perimeter
Area of cyclic quadrilateral given semi perimeter
Diagonal (e) of cyclic quadrilateral given other sides and diagonals
Diagonal (f) of cyclic quadrilateral given other sides and diagonals
Diagonal e of cyclic quadrilateral
Diagonal f of cyclic quadrilateral
Perimeter of cyclic quadrilateral
Perimeter of cyclic quadrilateral given semi perimeter
4 More formulas!
Concave Quadrilateral
(6)
Acute angle (A) of concave quadrilateral
Area of concave quadrilateral
Inner diagonal (f) of concave quadrilateral
Inner side (d) of concave quadrilateral
Outer diagonal (e) of concave quadrilateral
Reflex angle of concave quadrilateral
Decagon
(21)
Area of central angle given side length and central angle
Area of decagon
Area of decagon given inradius and side length
Circumradius of decagon given height and central angle
Circumradius of decagon given width
Height of decagon given circumcircle radius
Height of decagon given incircle radius
Height of decagon given side and central angle.
Inradius of decagon given height
Perimeter of decagon
11 More formulas!
Dodecagon
Angles
(2)
sum of interior angles of dodecagon given value of one interior angle of dodecagon
Value of one interior angle of dodecagon given sum of interior angles of dodecagon
Perimeter
(6)
Perimeter of dodecagon given diagonal 2 of dodecagon
Perimeter of dodecagon given diagonal 3 of dodecagon
Perimeter of dodecagon given diagonal 4 of dodecagon
Perimeter of dodecagon given diagonal 5 of dodecagon
Perimeter of dodecagon given diagonal 6 of dodecagon
Perimeter of dodecagon given side of dodecagon
area
(6)
Area of dodecagon given diagonal 2 of dodecagon
Area of dodecagon given diagonal 3 of dodecagon
Area of dodecagon given diagonal 4 of dodecagon
Area of dodecagon given diagonal 5 of dodecagon
Area of dodecagon given diagonal 6 of dodecagon
Area of dodecagon given side of dodecagon
diagonal
(29)
Diagonal 2 of dodecagon given area of dodecagon
diagonal 2 of dodecagon given circumradius of dodecagon
diagonal 2 of dodecagon given diagonal 6 of dodecagon
diagonal 2 of dodecagon given height of dodecagon
diagonal 2 of dodecagon given inradius of dodecagon
diagonal 2 of dodecagon given perimeter of dodecagon
diagonal 2 of dodecagon given side of dodecagon
Diagonal 3 of dodecagon given area of dodecagon
diagonal 3 of dodecagon given circumradius of dodecagon
diagonal 3 of dodecagon given height of dodecagon
19 More formulas!
height
(2)
height of dodecagon given diagonal 4 of dodecagon
height of dodecagon given diagonal 5 of dodecagon
radii
(12)
Circumradius of dodecagon given diagonal 2 of dodecagon
Circumradius of dodecagon given diagonal 3 of dodecagon
Circumradius of dodecagon given diagonal 4 of dodecagon
Circumradius of dodecagon given diagonal 5 of dodecagon
Circumradius of dodecagon given diagonal 6 of dodecagon
Circumradius of dodecagon given side of dodecagon
inradius of dodecagon given diagonal 2 of dodecagon
inradius of dodecagon given diagonal 3 of dodecagon
inradius of dodecagon given diagonal 4 of dodecagon
inradius of dodecagon given diagonal 5 of dodecagon
2 More formulas!
side
(7)
side of dodecagon given area of dodecagon
side of dodecagon given diagonal 2 of dodecagon
side of dodecagon given diagonal 3 of dodecagon
side of dodecagon given diagonal 4 of dodecagon
side of dodecagon given diagonal 5 of dodecagon
side of dodecagon given diagonal 6 of dodecagon
side of dodecagon given perimeter of dodecagon
Ellipse
(24)
Area of Ellipse
Axis 'a' of Ellipse when Area is given
Axis 'b' of Ellipse when area is given
Circumference of Ellipse
Directrix of an ellipse(a>b)
Directrix of an ellipse(b>a)
Eccentricity of an ellipse (a>b)
Eccentricity of an ellipse (b>a)
Eccentricity of an ellipse when linear eccentricity is given
Latus Rectum of an ellipse (a>b)
14 More formulas!
Elliptical Segment
(5)
Area of elliptical segment
Axis c of elliptical segment
Axis d of elliptical segment
Semi axis a of elliptical segment given axis c of ellipse
Semi axis b of elliptical segment given axis d of ellipse
Elliptical Sector
(5)
Angle first leg of elliptical sector
Angle second leg of elliptical sector
First leg of elliptical sector
Opening angle of elliptical sector
Second leg of elliptical sector
Elliptical Ring
(9)
Area of elliptical ring
Inner semi-major axis d of elliptical ring
Inner semi-major axis e of elliptical ring
Lambda of elliptical ring
Outer semi-major axis (a) of elliptical ring given ring width
Outer semi-minor axis (b) of elliptical ring given ring width
Ring width of elliptical ring given inner semi-major axis d
Ring width of elliptical ring given inner semi-minor axis e
Value of mu of elliptical ring
Semi-Ellipse
(5)
Area of semi-ellipse
Height of semi-ellipse given area
Perimeter of semi-ellipse
Semi-axis of semi-ellipse given area
Value of lambda of semi-ellipse
Hyperbola
(9)
Eccentricity of hyperbola
Eccentricity of hyperbola when linear eccentricity is given
Focal parameter of the hyperbola
Latus Rectum of hyperbola
Length of conjugate axis of the hyperbola
Length of transverse axis of hyperbola
Linear eccentricity of the hyperbola
Semi-latus rectum of hyperbola
The length of the semi - minor axis if eccentricity is given
Hexagon
(21)
Area of hexagon given inradius and side length
Area of regular hexagon given central angle and side length
Circumradius of hexagon given height and central angle
Circumradius of hexagon given width
Diagonal of the hexagon circumscribed by the circle
Height of hexagon given Circumcircle radius
height of hexagon given inradius
Height of hexagon given side and central angle
Inradius of hexagon given height
Radius of circumcircle of hexagon given side and central angle
11 More formulas!
Heptagon
(20)
Area of each triangle in heptagon given side and inradius
Area of heptagon given side
Area of heptagon given side and angle
Area of heptagon given side and inradius
Circumradius of heptagon given only side
Circumradius of heptagon given side and central angle
Height of heptagon given circumradius
Height of heptagon given circumradius and angle
Height of heptagon given circumradius and inradius
Height of heptagon given inradius
10 More formulas!
Hendecagon
Angles
(6)
exterior angle of hendecagon given interior angle of hendecagon
Exterior angle of hendecagon given sum of interior angles of hendecagon
interior angle of hendecagon given exterior angle of hendecagon
interior angle of hendecagon given sum of all interior angles
sum of all interior angles given interior angle of hendecagon
sum of interior angles of hendecagon given exterior angle of hendecagon
Perimeter
(1)
perimeter of hendecagon given side of hendecagon
area
(2)
Area of hendecagon given only side of hendecagon
Area of hendecagon given side of hendecagon
diagonal
height
(3)
height of hendecagon given circumradius of hendecagon
height of hendecagon given inradius of hendecagon
Height of hendecagon given side of hendecagon
radii of hendecagon
(4)
circumradius of hendecagon given height of hendecagon
Circumradius of hendecagon given side of hendecagon
inradius of hendecagon given height of hendecagon
Inradius of hendecagon given side of hendecagon
side
(12)
side of hendecagon given area of hendecagon
side of hendecagon given Circumradius of hendecagon
side of hendecagon given diagonal 1 of hendecagon
side of hendecagon given diagonal 2 of hendecagon
side of hendecagon given diagonal 3 of hendecagon
side of hendecagon given diagonal 4 of hendecagon
side of hendecagon given diagonal 5 of hendecagon
side of hendecagon given General formula for diagonal of hendecagon
side of hendecagon given Height of hendecagon
side of hendecagon given inradius of hendecagon
2 More formulas!
Hexadecagon
Area
(7)
area of hexadecagon given diagonal 2 of hexadecagon
area of hexadecagon given diagonal 3 of hexadecagon
area of hexadecagon given diagonal 5 of hexadecagon
area of hexadecagon given diagonal 6 of hexadecagon
area of hexadecagon given diagonal 7 of hexadecagon
area of hexadecagon given diagonal 8 of hexadecagon
area of hexadecagon given side of hexadecagon
Angles
(2)
interior angle of hexadecagon given Sum of interior angles
Sum of interior angles given one interior angle of hexadecagon
Perimeter
(9)
perimeter of hexadecagon given diagonal 2 of hexadecagon
perimeter of hexadecagon given diagonal 3 of hexadecagon
perimeter of hexadecagon given diagonal 4 of hexadecagon
perimeter of hexadecagon given diagonal 5 of hexadecagon
perimeter of hexadecagon given diagonal 6 of hexadecagon
perimeter of hexadecagon given diagonal 7 of hexadecagon
perimeter of hexadecagon given diagonal 8 of hexadecagon
perimeter of hexadecagon given height of hexadecagon
perimeter of hexadecagon given side of hexadecagon
Radii
(4)
Circumradius of hexadecagon given diagonal of hexadecagon
Circumradius of hexadecagon given side of hexadecagon
inradius of hexadecagon given diagonal of hexadecagon
inradius of hexadecagon given side of hexadecagon
diagonal
(22)
diagonal 2 of hexadecagon given area of hexadecagon
diagonal 2 of hexadecagon given height of hexadecagon
diagonal 2 of hexadecagon given side of hexadecagon
diagonal 3 of hexadecagon given area of hexadecagon
diagonal 3 of hexadecagon given height of hexadecagon
diagonal 3 of hexadecagon given side of hexadecagon
diagonal 4 of hexadecagon given side of hexadecagon
diagonal 5 of hexadecagon given area of hexadecagon
diagonal 5 of hexadecagon given height of hexadecagon
diagonal 5 of hexadecagon given side of hexadecagon
12 More formulas!
height
(7)
height of hexadecagon given diagonal 2 of hexadecagon
height of hexadecagon given diagonal 3 of hexadecagon
height of hexadecagon given diagonal 5 of hexadecagon
height of hexadecagon given diagonal 6 of hexadecagon
height of hexadecagon given diagonal 7 of hexadecagon
height of hexadecagon given diagonal 8 of hexadecagon
height of hexadecagon given side of hexadecagon
side
(12)
side of hexadecagon given area of hexadecagon
side of hexadecagon given circumradius of hexadecagon
side of hexadecagon given diagonal 2 of hexadecagon
side of hexadecagon given diagonal 3 of hexadecagon
side of hexadecagon given diagonal 4 of hexadecagon
side of hexadecagon given diagonal 5 of hexadecagon
side of hexadecagon given diagonal 6 of hexadecagon
side of hexadecagon given diagonal 7 of hexadecagon
side of hexadecagon given diagonal 8 of hexadecagon
side of hexadecagon given height of hexadecagon
2 More formulas!
Isosceles Trapezoid
Diagonals of an isosceles trapezoid
(13)
Diagonal of a trapezoid given height, base a and angle at the base
Diagonal of an isosceles trapezoid given area and angle between the diagonals
Diagonal of an isosceles trapezoid given base a, lateral side c and angle A between them
Diagonal of an isosceles trapezoid given base a, lateral side c and angle B between them
Diagonal of an isosceles trapezoid given base b, lateral side c and angle A between them
Diagonal of an isosceles trapezoid given base b, lateral side c and angle B between them
Diagonal of an isosceles trapezoid given height and bases
Diagonal of an isosceles trapezoid given height and midsegment
Diagonal of an isosceles trapezoid given height, base b and angle at the base
Diagonal of an isosceles trapezoid given height, bases and angle between the diagonals
3 More formulas!
Height of an Isosceles trapezoid
(7)
Height of an isosceles trapezoid given all sides
Height of an isosceles trapezoid given area ad bases
Height of an isosceles trapezoid given area and midline
Height of an isosceles trapezoid given bases and angle at the base
Height of an isosceles trapezoid given diagonal, bases and angle between the diagonals
Height of an isosceles trapezoid given diagonal, midline and angle between the diagonals
Height of an isosceles trapezoid given lateral side and angle at the base
Midline of an Isosceles trapezoid
(9)
Midline of an isosceles trapezoid given area of a trapezoid and height
Midline of an isosceles trapezoid given area of a trapezoid and lateral side and angle at the base
Midline of an isosceles trapezoid given base a, height and angles at the base
Midline of an isosceles trapezoid given base a, height and lateral side
Midline of an isosceles trapezoid given base b, height and angles at the base
Midline of an isosceles trapezoid given base b, height and lateral side
Midline of an isosceles trapezoid given bases
Midline of an isosceles trapezoid given diagonal, height and angle A between the diagonals
Midline of an isosceles trapezoid given diagonal, height and angle B between the diagonals
Side of an isosceles triangle
(17)
Base a of an isosceles trapezoid if given angle at the base, height and other base
Base a of an isosceles trapezoid if given angle at the base, lateral side (leg) and other base
Base a of an isosceles trapezoid if given area of a trapezoid
Base a of an isosceles trapezoid if given diagonal, height, angle between the diagonals and base
Base a of an isosceles trapezoid if given diagonal, lateral side (leg) and other base
Base b of an isosceles trapezoid if given angle at the base, height and other base
Base b of an isosceles trapezoid if given angle at the base, lateral side (leg) and other base
Base b of an isosceles trapezoid if given area of a trapezoid
Base b of an isosceles trapezoid if given diagonal, height, angle between the diagonals and base
Base b of an isosceles trapezoid if given diagonal, lateral side (leg) and other base
7 More formulas!
Kite
(11)
Area of kite
First angle of kite
First side of kite given perimeter and other side
Incircle radius of kite
Other diagonal of kite given area
Perimeter of kite
Second angle of kite
Second side of kite given both diagonals
Second side of kite given perimeter and other side
Symmetry diagonal of kite given area
1 More formulas!
Half square kite
(9)
Other diagonal of half square kite
Other side of half square kite given perimeter
Perimeter of half square kite
Section 1 of half square kite
Section 2 of half square kite
Square side of half square kite given diagonal
Square side of half square kite given perimeter
Symmetry angle of half square kite
Symmetry diagonal of half square kite
Right Kite
(9)
Acute angle of right kite
Area of right kite
Circumcircle radius of right kite
Incircle radius of right kite
Long side of right kite given area
Obtuse angle of right kite
Perimeter of right kite
Short side of right kite given area
Symmetry diagonal of right kite given circumcircle radius
N-gon
(2)
Central angle of n-sided polygon
Perimeter of n-sided polygon
Nonagon
(29)
Area of nonagon given circumradius of nonagon
Area of nonagon given side of nonagon
circumcircle radius of nonagon given its edge length (side)
circumcircle radius of nonagon given long diagonal of nonagon
circumcircle radius of nonagon given medium diagonal of nonagon
circumcircle radius of nonagon given short diagonal of nonagon
circumradius of nonagon given area of nonagon
Circumradius of nonagon given inradius of nonagon and Height of nonagon
Edge length (side) of Nonagon given circumcircle radius
Exterior angle of nonagon given sum of all exterior angles of nonagon
19 More formulas!
Octagon
(14)
Area of octagon given only side
Area of octagon given side
Area of octagon given side and inradius
Circumradius of octagon given side
Circumradius of octagon given side and angle
Height of octagon given inradius
Height of octagon given side
Inradius of octagon given circumradius
Inradius of octagon given circumradius and central angle
Inradius of octagon given side
4 More formulas!
Parallelogram
(6)
Length of sides of a parallelogram if given diagonals and angle between the diagonals ( a b )
Side 'a' of a parallelogram if angle related to the side and height is known
Side AB of parallelogram form diagonal and angle between Diagonal in front of side AB
Side of parallelogram AB form height measured at right angle from other side (BC)
Side of parallelogram BC from height measured at right angle form other side
Side of parallelogram BC from height measured at right angle form that side
Area of the parallelogram
Diagonal of the parallelogram
(4)
Diagonal of a parallelogram when the area, diagonal, and angles between diagonals are given
Diagonal of a parallelogram when the area, other diagonal and angle between diagonals are given
Diagonal of the parallelogram when sides and cosine β are given
Diagonal of the parallelogram when sides and cosine β are given
Perimeter of the parallelogram
(4)
Perimeter of a parallelogram when side a and diagonals are given
Perimeter of a parallelogram when side b and diagonals are given
Perimeter of the parallelogram when side, height, and sine of an angle is given
Perimeter of the parallelogram when side, height, and sine of an angle is given
Side of the parallelogram
(8)
Side of a parallelogram when diagonal and the angle between diagonals are given
Side of a parallelogram when diagonal and the angle between diagonals are given
Side of a parallelogram when diagonal and the other side is given
Side of a parallelogram when diagonal and the other side is given
Side of the parallelogram when the area and height of the parallelogram are given
Side of the parallelogram when the area and height of the parallelogram are given
Side of the parallelogram when the height and sine of an angle are given
Side of the parallelogram when the height and sine of an angle are given
Parabola
(37)
axis of symmetry of parabola with its vertex at ( h, k), opening horizontally
axis of symmetry of parabola with its vertex at ( h, k), opening vertically
Diameter bisecting chords of slope m to the parabola y2 = 4ax
Directrix of parabola with its vertex at ( h, k) opening horizontally
Directrix of parabola with its vertex at ( h, k) opening vertically
Distance between directrix and latus rectum for parabola y2 = 4ax
Distance between the directrix and vertex for parabola y2 = 4ax
Distance from the vertex to the focus of parabola
Finding S1 to help find location of a point w.r.t. a parabola y^2=4ax
focal distance of parabola if distance between directrix and latus rectum
27 More formulas!
Polygon
(12)
area of quadrilateral when one diagonal and perpendicular distances are given
Diagonal of a Rhombus
length of a diagonal when area and perpendiculars of a quadrilateral are given
Measure of an exterior angle of n-sided regular polygon
No of sides of polygon when sum of all internal angles is known
Number of diagonal of a regular polygon with given number of sides
Number of n-sided polygons that can be formed by joining the vertices of a polygon of m sides
Perimeter of a Rhombus
Side of a Rhombus
Sum of all Exterior Angles of n-Sided Polygon
2 More formulas!
Circumscribed circle of a polygon
(4)
Area of Circumscribed circle of polygon
Number of sides of a polygon circumscribed by a circle
Perimeter of the circumscribed circle in a polygon
Side of a polygon circumscribed by a circle
Pentagon
(52)
Apothem of Pentagon given area and side
Apothem of pentagon given only side of pentagon
Area of pentagon given only side of pentagon
Area of pentagon if only side length of a pentagon is given
Area of pentagon only the radius of a pentagon is given
Area of pentagon with side and apothem length is given
central angle of pentagon given only interior angle
central angle of pentagon given sum of interior and central angle
Diagonal of pentagon given only radius of circumcircle of pentagon
Height of pentagon given only radius of circumcircle of pentagon
42 More formulas!
Rectangle
Area of rectangle
(13)
Area of a Rectangle when breadth and diagonal are given
Area of a Rectangle when breadth and perimeter are given
Area of a Rectangle when length and breadth are given
Area of a Rectangle when length and diagonal are given
Area of a Rectangle when length and perimeter are given
Area of rectangle in terms of sine of the acute angle between the diagonals and the diagonal of a rectangle
Area of rectangle when breadth and radius of circumscribed circle are given
Area of rectangle when diameter of circumscribed circle and length are given
Area of rectangle when length and radius of circumscribed circle are given
Area of rectangle when perimeter and breadth are given
3 More formulas!
Angle between diagonal and rectangle side
(1)
Angle between the diagonal and rectangle side in terms of the angle between the diagonals
Angle between rectangle diagonals
(2)
Angle between the rectangle diagonals when angle between the diagonal and rectangle side is given
The angle between the rectangle diagonals in terms of area and rectangle diagonal
Circumscribed circle of rectangle
(7)
Radius of rectangle circumscribed circle when perimeter and length of the rectangle are given
Radius of the circumscribed circle when perimeter and breadth are given
Radius of the circumscribed circle when the diagonal of the rectangle is given
Rectangle circumscribed radius in terms of sine of the angle that adjacent to the diagonal and the opposite side of the angle
The radius of a circumscribed circle when the diameter of a circumscribed circle is given
The radius of the circumscribed circle in terms of cosine of the angle that adjacent to the diagonal and the adjacent side of
The radius of the rectangle circumscribed circle when rectangle sides are given
Crossed Rectangle
(9)
Area of crossed rectangle
Base angle of crossed rectangle
Base length of crossed rectangle given area
Base length of crossed rectangle given perimeter
Intersection angle of crossed rectangle
Leg length of crossed rectangle given perimeter
Perimeter of crossed rectangle
Rectangle side (b) of crossed rectangle
Rectangle side of crossed rectangle given area
Sides of rectangle
(10)
Breadth of rectangle when area and length are given
Breadth of rectangle when diagonal and angle between diagonal and length are given
Breadth of rectangle when diagonal and angle between diagonals are given
Breadth of rectangle when diagonal and length are given
Breadth of rectangle when perimeter and length are given
Length of a rectangle in terms of diagonal and angle between diagonal and breadth
Length of rectangle when area and breadth are given
Length of rectangle when diagonal and angle between two diagonal are given
Length of rectangle when diagonal and breadth are given
Length of rectangle when perimeter and breadth are given
0 More formulas!
Diagonal of a rectangle
(10)
Diagonal of a rectangle circumscribed by a circle
Diagonal of a Rectangle when breadth and area are given
Diagonal of a Rectangle when breadth and perimeter are given
Diagonal of a Rectangle when length and area are given
Diagonal of a Rectangle when length and breadth are given
Diagonal of a Rectangle when length and perimeter are given
Diagonal of the rectangle when the radius of the circumscribed circle is given
Rectangle circumscribed radius in terms of sine of the angle that adjacent to the diagonal and the opposite side of the angle
Rectangle diagonal in terms of cosine of the angle that adjacent to the diagonal and the adjacent side of the angle
Rectangle diagonal in terms of sine of the angle
0 More formulas!
Perimeter of the rectangle
(8)
Perimeter of a rectangle when diagonal and length are given
Perimeter of a rectangle when length and width are given
Perimeter of rectangle when area and rectangle length are given
Perimeter of rectangle when breadth and diameter of circumscribed circle
Perimeter of rectangle when breadth and radius of circumscribed circle are given
Perimeter of rectangle when diagonal and width are given
The perimeter of a rectangle when the diameter of circumscribed circle and length are given
The perimeter of the rectangle when the length and radius of the circumscribed circle are given
Right Trapezoid
Diagonal of right trapezoid
(4)
Diagonal of right trapezoid given height and base a
Diagonal of right trapezoid given height and base b
Diagonal of right trapezoid given lateral side and base a
Diagonal of right trapezoid given lateral side and base b
Lateral side and height of right trapezoid
(13)
Lateral side d of right trapezoid given angle at base and height
Lateral side d of right trapezoid given angle at base and other side
Lateral side d of right trapezoid given area, bases and angle at base
Lateral side d of right trapezoid given area, midline and angle at base
Lateral side d of right trapezoid given bases and angle at base
Lateral side d of right trapezoid given bases and other side
Lateral side(height) of right trapezoid given angle at base and other side
Lateral side(height) of right trapezoid given area and bases
Lateral side(height) of right trapezoid given area and midline
Lateral side(height) of right trapezoid given bases and other side
3 More formulas!
Midline of right trapezoid
(10)
Midline of right trapezoid given base a and lateral sides
Midline of right trapezoid given base a, height and angle at base
Midline of right trapezoid given base a, lateral side d and angle at base
Midline of right trapezoid given base b and lateral sides
Midline of right trapezoid given base b, height and angle at base
Midline of right trapezoid given base b, lateral side d and angle at base
Midline of right trapezoid given bases
Midline of right trapezoid given diagonals, height and angle A between diagonals
Midline of right trapezoid given diagonals, height and angle B between diagonals
Midline of right trapezoid given height and area
0 More formulas!
Sides(bases) of a right trapezoid
(12)
Side a of a right trapezoid diagonals, lateral side (height) and angle between the diagonals
Side a of a right trapezoid given area of a trapezoid, lateral side (height) and base b
Side b of a right trapezoid diagonals, lateral side (height) and angle between the diagonals
Side b of a right trapezoid given area of a trapezoid, lateral side (height) and base a
Side of a right trapezoid given lateral side c, base a and angle at base
Side of a right trapezoid given lateral side c, base b and angle at base
Side of a right trapezoid given lateral side c, d and base a
side of a right trapezoid given lateral side c, d and base b
Side of a right trapezoid given lateral side d, base a and angle at base
Side of a right trapezoid given lateral side d, base b and angle at base
2 More formulas!
Rhombus
Angles of rhombus
(10)
Acute angle of a rhombus if given area and side
Acute angle of a rhombus if given both diagonals
Acute angle of rhombus given larger diagonal and side
Acute angle of rhombus given smaller diagonal and side
Obtuse angle of a rhombus if given area and side
Obtuse angle of rhombus given larger diagonal and side
Obtuse angle of rhombus given smaller diagonal and side
Obtuse angle of rhombus if given both diagonal
One-half acute angles in a rhombus if given both diagonals
One-half obtuse angles in a rhombus if given both diagonals
0 More formulas!
Diagonal of rhombus
(14)
Diagonal d of rhombus given one-half angle and other diagonal
Diagonal D of rhombus given one-half angle and other diagonal
Diagonal d of rhombus given side and acute angle (Half angle)
Diagonal D of rhombus given side and acute angle (half angle)
Diagonal d of rhombus given side and obtuse angle (Half angle)
Diagonal D of rhombus given side and obtuse angle (Half angle)
Diagonal d of rhombus given side and other diagonal
Diagonal D of rhombus given side and other diagonal
Larger diagonal of rhombus given area and other diagonal
Larger diagonal of rhombus given side and acute angle
4 More formulas!
Side of a rhombus
(13)
Side of rhombus given area and angle
Side of rhombus given diagonal d and angle alpha
Side of rhombus given diagonal D and angle aplha
Side of rhombus given diagonal d and angle beta
Side of rhombus given diagonal D and angle Beta
Side of rhombus given diagonals
Side of rhombus given diagonals and acute angle
Side of rhombus given diagonals and obtuse angle
Side of rhombus given larger diagonal and one-half angle(alpha)
Side of rhombus given larger diagonal and one-half angle(beta)
3 More formulas!
Square
(2)
Diagonal of the square circumscribed by the circle
Side of the square circumscribed by the circle
Area of the square
(5)
Area of the square when length of segment is given
Area of the square when the diameter of the inscribed circle is given
The area of the square when circumradius is given
The area of the square when the diameter of the circumscribed circle is given
The area of the square when the radius of the inscribed circle is given
Diagonal of a square
(3)
Diagonal of square when length of segment is given
Diagonal of the square when circumradius is given
Diagonal of the square when inradius is given
Perimeter of the square
(5)
Perimeter of the square when circumradius is given
The perimeter of the square when diameter of the inscribed circle is given
The perimeter of the square when inradius is given
The perimeter of the square when the diameter of the circumscribed circle is given
The perimeter of the square when the length of the segment is given
Radius of inscribed circle of the square
(8)
Square inradius when circumradius is given
Square inradius when diagonal of the square is given
Square inradius when length of segment is given
Square inradius when side of the square is given
Square inradius when the area of the square is given
Square inradius when the diameter of the circumcircle is given
Square inradius when the diameter of the incircle is given
Square inradius when the perimeter of the square is given
Radius of circumscribed circle
(8)
Circumradius of the square when the diameter of the circumscribed circle is given
Square circumradius when inradius of the square is given
Square circumradius when length of segment is given
Square circumradius when the area of the square is given
Square circumradius when the diagonal of the square is given
Square circumradius when the diameter of the incircle is given
Square circumradius when the perimeter of the square is given
Square circumradius when the side of the square is given
Semi-Circle
(3)
Area of a semicircle
Diameter of a semicircle
Radius of semicircle given arc
Triangle
(12)
Altitude/height of a triangle on side c given 3 sides
Area of triangle formed by diagonal when area of parallelogram is given
Circumradius of a triangle given 3 exradii and inradius
Circumradius of a triangle given 3 sides
Distance between circumcenter and incenter by Euler's theorem
Heron's formula
Hypotenuse of a right angled triangle circumscribed by a circle
Inradius of a triangle given 3 exradii
Length of angle bisector of angle C
Length of median (on side c) of a triangle
2 More formulas!
Equilateral Triangle
(11)
Altitude of an equilateral triangle
Angle bisector of an equilateral triangle
Area of an equilateral triangle
Ex-radius of an equilateral triangle
Height of a equilateral triangle circumscribed by a circle
Heron's formula
Median of an equilateral triangle
Radius of the circumscribed circle of an equilateral triangle
Radius of the inscribed circle of an equilateral triangle
Semiperimeter of an equilateral triangle
1 More formulas!
Isosceles Triangle
(15)
Altitude of an isosceles triangle
Angle bisector of an isosceles triangle when equal sides are given
Angle bisector of an isosceles triangle when the unequal side is given
Angle of isosceles triangle when equal angles are known
Area of an isosceles right angle triangle
Area of an isosceles triangle
Area of an isosceles triangle when length sides and angle between them are given
Base angles B,C of isosceles triangle when vertex angle A is known
Heron's formula
Median of an isosceles triangle when the unequal side is given
5 More formulas!
Trapezoid
(1)
Area of a Trapezoid
Diagonal of Trapezoid
(18)
Diagonal d1 of Trapezoid given all four sides
Diagonal d1 of Trapezoid given base angles and sides
Diagonal d1 of Trapezoid given height, angles at base and base b
Diagonal d1 of Trapezoid given height, angles at the base and sides
Diagonal d1 of Trapezoid given height, bases and lateral sides
Diagonal d1 of Trapezoid given other diagonal and all the sides
Diagonal d1 of Trapezoid given other diagonal, angle between the diagonals and area
Diagonal d1 of Trapezoid given other diagonal, angle between the diagonals and height
Diagonal d1 of Trapezoid given other diagonal, angle between the diagonals, midsegment and height
Diagonal d2 of Trapezoid given all four sides
8 More formulas!
Height of a Trapezoid
(10)
Height of a Trapezoid given all four sides
Height of a Trapezoid given diagonals, bases and angle A between the diagonals
Height of a Trapezoid given diagonals, bases and angle B between the diagonals
Height of a Trapezoid given diagonals, midline and angle A between the diagonals
Height of a Trapezoid given diagonals, midline and angle B between the diagonals
Height of a Trapezoid given lateral side c and angle at the base
Height of a Trapezoid given lateral side d and angle at the base
Height of Trapezoid
Height of Trapezoid given area and bases
Height of Trapezoid given area and midline
0 More formulas!
Midline of a Trapezoid
(6)
Midline of a Trapezoid given base a, height and angles at the base
Midline of a Trapezoid given base b, height and angles at the base
Midline of a Trapezoid given bases
Midline of a Trapezoid given diagonals, height and angle A between the diagonals
Midline of a Trapezoid given diagonals, height and angle B between the diagonals
Midline of a Trapezoid given height and area of a trapezoid
Sides of Trapezoid
(18)
Base a of Trapezoid
Base a of Trapezoid given height, base angle and other base
Base a of Trapezoid given height, diagonals and angle between them
Base a of Trapezoid given side c, base angle and other base
Base a of Trapezoid given side d, base angle and other base
Base a of Trapezoid when midline is given
Base b of Trapezoid
Base b of Trapezoid given height, base angle and other base
Base b of Trapezoid given height, diagonals and angle between them
Base b of Trapezoid given side c, base angle and other base
8 More formulas!
Tri-equilateral Trapezoid
(9)
Acute angle of tri-equilateral trapezoid
Area of tri-equilateral trapezoid
Diagonal of tri-equilateral trapezoid
Equal side of tri-equilateral trapezoid given perimeter
Height of tri-equilateral trapezoid given area
Height of tri-equilateral trapezoid
Obtuse angle of tri-equilateral trapezoid
Perimeter of tri-equilateral trapezoid
Unequal side of tri-equilateral trapezoid given perimeter
Tangential Quadrilateral
(9)
Area of tangential quadrilateral
Perimeter of tangential quadrilateral
Radius of tangential quadrilateral given area
Side a of tangential quadrilateral given other sides
Side b of tangential quadrilateral given other sides
Side c of tangential quadrilateral given other sides
Side d of tangential quadrilateral given other sides
Side(a) of tangential quadrilateral given area
Side(c) of tangential quadrilateral given area
3D Geometry
(4)
Breadth of cube
Distance between 2 points in 3D space
Height of the cube
Radius of inscribed sphere inside the cube
Cube
(22)
Breadth of cube
Diagonal of a Cube
Diagonal of cube given LSA
Height of the cube
Lateral surface area of cube
Lateral Surface Area of Largest Cube that can be inscribed within a right circular cylinder when height of cylinder is given
Length of cube
LSA of cube given diagonal
LSA of cube given TSA
Side of cube given diagonal
12 More formulas!
Truncated Cube
(9)
Circumsphere radius of truncated cube
Edge length of cube of a truncated cube
Edge length of truncated cube given edge length of cube
Edge length of truncated cube given surface area
Edge length of truncated cube given volume
Midsphere radius of truncated cube
Surface area of a truncated cube
Surface to volume ratio of truncated cube
Volume of truncated cube
Cuboctahedron
(7)
Circumsphere radius of cuboctahedron
Edge length of cuboctahedron given surface area
Edge length of cuboctahedron given volume
Midsphere radius of cuboctahedron
Surface area of cuboctahedron
Surface to volume of cuboctahedron
Volume of cuboctahedron
Cuboid
(3)
Lateral Surface Area of Cuboid
Surface Area of Cuboid
Volume of half cuboid
Cut Cuboid
Half Cuboid
(9)
Acute angle of half cuboid
Area of half cuboid
Base length of half cuboid given slant height
Base length of half cuboid given volume
Half height of half cuboid
Half height of half cuboid given slant height
Half height of half cuboid given volume
Height of half cuboid given half height
Slant length of half cuboid
Skewed Cuboid
(2)
Length large rectangle of skewed cuboid given long diagonal
Long diagonal of skewed cuboid
Truncated Cuboid
Wedge Cuboid
(7)
Area of wedge cuboid
Length (a) of wedge cuboid given long diagonal
Length (a) of wedge cuboid given volume
Long height of wedge cuboid given long diagonal
Volume of wedge cuboid
Width (b) of wedge cuboid given long diagonal
Width (b) of wedge cuboid given volume
Frustum of Right Circular Cone
(3)
Curved Surface area of Frustum of right circular cone
Slant height of Frustum of right circular cone
Total Surface Area of Frustum of right circular cone
Hollow Cylinder
(6)
Height of a hollow cylinder
Inner radius of a hallow cylinder
Inner surface area of the hollow cylinder
Outer radius of hollow cylinder
Outer surface of the hollows cylinder
Volume of Hollow Cylinder
Octahedron
(8)
Circumsphere radius of truncated octahedron
Edge length octahedron of truncated octahedron
edge length of truncated octahedron given surface area
Edge length of truncated octahedron given volume
Midsphere radius of truncated octahedron
Surface area of truncated octahedron
Surface to volume ratio of truncated octahedron
Volume of truncated octahedron
Platonic Solids
(25)
Dihedral Angle of Platonic Solids
Edge of Regular Octahedron
Radius of circumscribed sphere around platonic solids
Radius of circumscribed sphere in a cube
Radius of circumscribed sphere in a regular dodecahedron
Radius of circumscribed sphere in a regular icosahedron
Radius of circumscribed sphere in a regular octahedron
Radius of circumscribed sphere in regular tetrahedron
Radius of inscribed sphere inside platonic solids
Radius of inscribed sphere inside regular tetrahedron
15 More formulas!
Prisms
(18)
Base Area of Hexagonal Prism
Base Area of Pentagonal Prism
Base Area of Rectangular Prism
Base Area of Triangular Prism
Diagonal of Rectangular prism
Surface Area of a Rectangular Prism
Surface Area of Hexagonal Prism
Surface Area of Pentagonal Prism
Surface Area of Prisms
Surface Area of triangular prism
8 More formulas!
Hexagonal Prism
(3)
Base Area of Hexagonal Prism
Surface Area of Hexagonal Prism
Volume of Hexagonal Prism
Pentagonal Prism
(3)
Base Area of Pentagonal Prism
Surface Area of Pentagonal Prism
Volume of Pentagonal Prism
Triangular Prism
(3)
Base Area of Triangular Prism
Surface Area of triangular prism
Volume of a triangular prism
Pyramid
(2)
total surface area of pentagonal pyramid
volume of pentagonal pyramid
Hexagonal Pyramid
(3)
lateral surface area of Hexagonal Pyramid
Total surface area of Hexagonal Pyramid
Volume of Hexagonal Pyramid
Square Pyramid
(3)
Lateral surface of a square pyramid
Total surface area of a square pyramid
Volume of a square pyramid
pentagonal pyramid
(3)
Surface Area of Pentagonal Prism
total surface area of pentagonal pyramid
volume of pentagonal pyramid
Right Circular Cylinder
(1)
Height of right circular cylinder
Right Circular Cone
(4)
Curved Surface Area of Right circular cone
Slant Height of Right circular cone
Total Surface Area of Right circular cone
Volume of Right circular cone
Tetrahedron
(7)
Edge of Tetrahedron
Face area of Tetrahedron
Height of a Tetrahedron
Radius of circumscribed sphere in regular tetrahedron
Radius of inscribed sphere inside regular tetrahedron
Surface Area of Regular Tetrahedron
Volume of Regular Tetrahedron
Torus
(3)
Major radius of torus given surface area and minor radius
Surface area of torus
Volume of torus
Tuncated Tetrahedron
(9)
Circumsphere radius of truncated tetrahedron
edge length of truncated tetrahedron given edge length of tetrahedron
Edge length of truncated tetrahedron given surface area
Edge length of truncated tetrahedron given volume
Edge length tetrahedron of truncated tetrahedron
Midsphere radius of truncated tetrahedron
Surface area of truncated tetrahedron
Surface to volume ratio of truncated tetrahedron
Volume of truncated tetrahedron
sphere
(4)
Diameter of Sphere
Radius of Sphere
Surface Area of a Sphere
Volume of Sphere circumscribing a cylinder
Area
(3)
Area of a Heptagon
Area of a Sector of an Annulus
Area of Annulus
Circle
(4)
Area of a Circle when area of sector is given
Area of a Circle when circumference is given
Area of a Circle when diameter is given
Area of a Circle when radius is given
Hexagon
(1)
Area of a Hexagon
Kite
(3)
Area of a Kite when diagonals are given
Area of a Kite when sides and angle between the sides are given
Area of Kite inscribed inside rectangle
Octagon
(1)
Area of a Octagon
Parallelogram
(4)
Area of a Parallelogram when base and height are given
Area of a Parallelogram when diagonals are given
Area of a Parallelogram when sides and angle between the sides are given
Area of parallelogram when area of triangle formed by a diagonal is given
Quarter Circle
(3)
Area of a quarter circle when area of circle is given
Area of a quarter circle when diameter is given
Area of a quarter circle when radius is given
Rectangle
(5)
Area of a Rectangle when breadth and diagonal are given
Area of a Rectangle when breadth and perimeter are given
Area of a Rectangle when length and breadth are given
Area of a Rectangle when length and diagonal are given
Area of a Rectangle when length and perimeter are given
Rhombus
(2)
Area of a Rhombus when diagonals are given
Area of a Rhombus when side and diagonals are given
Square
(3)
Area of a Square when diagonal is given
Area of a Square when perimeter is given
Area of a Square when side is given
Sector
(1)
Area of a Sector
Semicircle
(3)
Area of a Semicircle when area of circle is given
Area of a Semicircle when diameter is given
Area of a Semicircle when radius is given
Triangle
(8)
Area of a Triangle when base and height are given
Area of a Triangle when sides are given
Area of Triangle given 2 angles and third side
Area of triangle given 2 sides and third angle
Area of triangle given 3 exradii and inradius
Area of triangle given circumradius and sides
Area of triangle given inradius and semiperimeter
Area of triangle given semiperimeter, one side and its exradius
Trapezoid
(1)
Area of a Trapezoid
Torus
(1)
Area of a Torus
Chord Length
(2)
Chord Length when radius and angle are given
Chord length when radius and perpendicular distance are given
Circumscribed Solids
Circumscribed Sphere
(5)
Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known
Surface Area of Sphere circumscribing a cylinder
The Radius (R) of a sphere that circumscribes a cube with side length S
Volume of a circumscribed sphere in terms of cube Side length
Volume of Sphere circumscribing a cylinder
Circumscribed Cylinder
(2)
Surface Area of Cylinder circumscribing a sphere when radius of sphere is known
Volume of cylinder circumscribing a sphere when radius of sphere is known
Circumscribed Cone
(7)
Base Length of parabolic section that can be cut from a cone for maximum area of parabolic section
Distance from the minor arc of cone of parabolic section that can be cut from a cone for maximum area of parabolic section
Height of Cone circumscribing a sphere such that volume of cone is minimum
Height of parabolic section that can be cut from a cone for maximum area of parabolic section
Radius of Cone circumscribing a sphere such that volume of cone is minimum
The maximum area of parabolic segment that can be cut from a cone
Volume of Cone circumscribing a sphere such that volume of cone is minimum
Circumscribed Circle
(42)
Base of isosceles triangle given its equal side & Radius of circumscribed circle
diagonal of hexagon given radius of the circumcircle of a regular hexagon
Diagonal of rectangle given radius of the circumscribed circle of a rectangle
Diagonal of square given Radius of the circumscribed circle of a square
height of equilateral triangle given radius of the circumscribed circle of an equilateral triangle
hypotenuse of right angle triangle given Radius of the circumscribed circle of right angle triangle
Leg a of right triangle given radius & other leg of circumscribed circle of a right triangle
Leg b of right triangle given radius & other leg of circumscribed circle of a right triangle
Radius of the circumcircle of a regular hexagon given diagonal of hexagon
Radius of the circumcircle of a regular hexagon given side of hexagon
32 More formulas!
Circle
(1)
Angle at another point on circumference when angle on an arc is given
Diagonal Formula
(5)
Diagonal of a Cube
Diagonal of the hexagon circumscribed by the circle
Length of leading diagonal of cuboid
Number of Diagonals
The maximum face diagonal length for cubes with a side length S
Diagonal of a Parallelogram
(2)
Diagonal of a Parallelogram (Diagonal 1)
Diagonal of a Parallelogram (Diagonal 2)
Diagonal of a Rectangle
(6)
Diagonal of a Rectangle when breadth and area are given
Diagonal of a Rectangle when breadth and perimeter are given
Diagonal of a Rectangle when length and area are given
Diagonal of a Rectangle when length and breadth are given
Diagonal of a Rectangle when length and perimeter are given
Number of rectangles that can be formed by using m horizontal lines and n vertical lines
Diagonal of a Square
(3)
Diagonal of a Square when area is given
Diagonal of a Square when perimeter is given
Diagonal of a Square when side is given
Inscribed solids
Inscribed Sphere
(2)
Radius of inscribed sphere in a cone when radius and height of cone are known
The Radius R of the inscribed sphere for cube with a side length S
Inscribed Cone
(4)
Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere
Radius of cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere
Volume of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere
Volume of Cone inscribed in a sphere when radius of sphere and cone are given
Inscribed Cylinder
(13)
Convex Surface Area of a circular cylinder of maximum convex surface area in a given circular cone
Curved Surface Area of Largest right circular cylinder that can be inscribed within a cone
Curved Surface Area of Largest right circular cylinder within a cube when side of cube is given
Diameter of a circular cylinder of maximum convex surface area in a given circular cone
Height of a circular cylinder of maximum convex surface area in a given circular cone
Height of Largest right circular cylinder that can be inscribed within a cone
Height of Largest right circular cylinder within a cube
Radius of largest right circular cylinder that can be inscribed within a cone when radius of cone is given
Radius of Largest right circular cylinder within a cube when side of cube given
Total Surface Area of Largest right circular cylinder that can be inscribed within a cone
3 More formulas!
Inscribed Pyramid
(3)
Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a
Base length of the largest right pyramid with a square base that can be inscribed in a sphere of radius a
Volume of the largest right pyramid with a square base that can be inscribed in a sphere of radius a
Inscribed cube
(4)
Lateral Surface Area of Largest Cube that can be inscribed within a right circular cylinder when height of cylinder is given
Side of Largest Cube that can be inscribed within a right circular cylinder of height h
Total Surface Area of Largest Cube that can be inscribed within a right circular cylinder when height of cylinder is given
Volume of Largest cube that can be inscribed within a right circular cylinder when height of cylinder is given
Perimeter
(10)
Perimeter of a Cube
Perimeter of a Hexagon
Perimeter of a Kite
Perimeter of a Octagon
Perimeter of a Parallelogram
Perimeter of a regular Heptagon
Perimeter of a Rhombus
Perimeter Of Parallelepiped
Perimeter Of Sector
Perimeter of Trapezoid
0 More formulas!
Quarter Circle
(2)
Perimeter of a quarter circle when diameter is given
Perimeter of a quarter circle when radius is given
Rectangle
(3)
Perimeter of a rectangle when diagonal and length are given
Perimeter of a rectangle when length and width are given
Perimeter of rectangle when diagonal and width are given
Square
(3)
Perimeter of a square when area is given
Perimeter of a square when diagonal is given
Perimeter of a square when side is given
Semicircle
(3)
Perimeter of a Semicircle when circumference of circle is given
Perimeter of a Semicircle when diameter is given
Perimeter of a Semicircle when radius is given
Triangle
(4)
Perimeter of a Right Angled Triangle
Perimeter of an Equilateral Triangle
Perimeter of an Isosceles Triangle
Perimeter of Triangle
Regular Polygon
(23)
Apothem of a regular polygon
Apothem of a regular polygon when the circumradius is given
Area of a regular polygon when circumradius is given
Area of a regular polygon when inradius is given
Area of a regular polygon when length of side is given
Area of regular polygon with perimeter and circumradius
Area of regular polygon with perimeter and inradius
Circumradius of a regular polygon when the inradius is given
Inradius of a Regular Polygon
Interior angle of a regular polygon when sum of the interior angles are given
13 More formulas!
Surface Area
(2)
Lateral surface area of a cone given radius and generator
Surface area of Spherical segment
Capsule
(1)
Surface Area of a Capsule
Circular Cone
(3)
Base Surface Area of a Cone
Lateral Surface Area of a Cone
Total Surface Area of a Cone
Circular Cylinder
(4)
Bottom Surface Area of a Cylinder
Lateral Surface Area of a Cylinder
Top Surface Area of a Cylinder
Total Surface Area of a Cylinder
Conical Frustum
(3)
Base Surface Area of a Conical Frustum
Lateral Surface Area of a Conical Frustum
Top Surface Area of a Conical Frustum
Cube
(2)
Lateral surface area of cube
Surface Area of a Cube
Cuboid
(2)
Lateral Surface Area of Cuboid
Surface Area of Cuboid
Hemisphere
(4)
Base Surface Area of a Hemisphere
Curved Surface Area of a Hemisphere
Lateral surface area of hemisphere
Total Surface Area of a Hemisphere
Hollow Cylinder
(2)
Lateral surface area of hollow cylinder
Total Surface Area of Hollow Cylinder
Pyramid
(3)
Base Surface Area of a Pyramid
Lateral Surface Area of a Pyramid
Total Surface Area of a Pyramid
Prism
(2)
Surface Area of Prisms
Surface Area of triangular prism
Platonic Solids
(4)
Surface Area of Dodecahedron
Surface Area of Icosahedron
Surface Area of Regular Octahedron
Surface Area of Regular Tetrahedron
Rectangular Prism
(1)
Surface Area of a Rectangular Prism
Sphere
(2)
Curved Surface Area of Sphere
Surface Area of a Sphere
Volume
(26)
Volume of Cone
Volume of a Capsule
Volume of a Circular Cone
Volume of a Circular Cylinder
Volume of a Conical Frustum
Volume of a Cube
Volume of a general prism
Volume of a general pyramid
Volume of a Hemisphere
Volume of a Pyramid
16 More formulas!
Probability
(4)
Binomial Probability
Combination Probability
Empirical Probability
Probability of an Event
Sequence and Series
(1)
nth term in a geometric progression
Arithmetic Progression
(17)
Arithmetic Mean of two numbers
Arithmetic Mean when Harmonic Mean and Geometric Mean is given
Calculate nth term of AP when pth & qth terms are given
Common Difference when first term & pth term are given
Common Difference when first term, last term & number of terms are given
Common Difference when pth & qth terms are given
First term when pth & qth terms are given
Last term when number of terms, first term & common difference are given
Nth term of AP
Number of terms of in an Arithematic Progression
7 More formulas!
Arithmetic–Geometric Progression
(3)
Nth term of AGP
Sum of first n terms of AGP
Sum of infinite AGP where (-1 < r < 1)
Geometric Progression
(9)
Common Ratio
Geometric Mean of two numbers
Geometric Mean when Harmonic Mean and Arithmetic Mean is given