Young's Modulus Solution

STEP 0: Pre-Calculation Summary
Formula Used
Young's Modulus = Stress/Strain
E = σ/ε
This formula uses 3 Variables
Variables Used
Young's Modulus - (Measured in Newton per Meter) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Stress - (Measured in Pascal) - The Stress applied to a material is the force per unit area applied to the material. The maximum stress a material can stand before it breaks is called the breaking stress or ultimate tensile stress.
Strain - Strain is simply the measure of how much an object is stretched or deformed.
STEP 1: Convert Input(s) to Base Unit
Stress: 1200 Pascal --> 1200 Pascal No Conversion Required
Strain: 0.75 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = σ/ε --> 1200/0.75
Evaluating ... ...
E = 1600
STEP 3: Convert Result to Output's Unit
1600 Newton per Meter --> No Conversion Required
FINAL ANSWER
1600 Newton per Meter <-- Young's Modulus
(Calculation completed in 00.004 seconds)

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12 Equilibrium Method Calculators

Load Attached to Free End of Constraint
Go Weight of Body in Newtons = (Static Deflection*Young's Modulus*Cross Sectional Area)/Length of Constraint
Length of Constraint
Go Length of Constraint = (Static Deflection*Young's Modulus*Cross Sectional Area)/Weight of Body in Newtons
Restoring Force using Weight of Body
Go Force = Weight of Body in Newtons-Stiffness of Constraint*(Static Deflection+Displacement of Body)
Acceleration of Body given Stiffness of Constraint
Go Acceleration of Body = (-Stiffness of Constraint*Displacement of Body)/Load Attached to Free End of Constraint
Displacement of Body given Stiffness of Constraint
Go Displacement of Body = (-Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint
Time Period of Free Longitudinal Vibrations
Go Time Period = 2*pi*sqrt(Weight of Body in Newtons/Stiffness of Constraint)
Angular Velocity of Free Longitudinal Vibrations
Go Natural Circular Frequency = sqrt(Stiffness of Constraint/Mass suspended from spring)
Critical Damping Coefficient given Spring Constant
Go Critical Damping Coefficient = 2*sqrt(Spring Constant/Mass suspended from spring)
Static Deflection given Natural Frequency
Go Static Deflection = (Acceleration due to Gravity)/((2*pi*Frequency)^2)
Gravitational Pull Balanced by Spring Force
Go Weight of Body in Newtons = Stiffness of Constraint*Static Deflection
Restoring Force
Go Force = -Stiffness of Constraint*Displacement of Body
Young's Modulus
Go Young's Modulus = Stress/Strain

15 Basics of Physics Calculators

Torque
Go Torque Exerted on Wheel = Force*Length of Displacement Vector*sin(Angle between Force and Displacement Vector)
Distance Traveled
Go Distance Traveled = Initial Velocity*Time Taken to Travel+(1/2)*Acceleration*(Time Taken to Travel)^2
Magnetic Flux
Go Magnetic Flux = Magnetic Field*Length*Thickness of Dam*cos(Theta)
Ride rate of car
Go Ride rate of car = (Wheel rate of vehicle*Tire rate)/(Wheel rate of vehicle+Tire rate)
Refractive Index
Go Refractive Index = sin(Angle of Incidence)/sin(Angle of Refraction)
Heat Rate
Go Heat Rate = Steam Flow*Specific Heat Capacity*Temperature Difference
Work
Go Work = Force*Displacement*cos(Angle A)
Angular Displacement
Go Angular Displacement = Distance Covered on the Circular Path/Radius of Curvature
Capacitance
Go Capacitance = Dielectric Constant*Charge/Voltage
Angular Momentum
Go Angular Momentum = Moment of Inertia*Angular Velocity
Acceleration
Go Acceleration = Change in Velocity/Total Time Taken
Amplitude
Go Amplitude = Total Distance Traveled/Frequency
Strain
Go Strain = Change in Length/Length
Young's Modulus
Go Young's Modulus = Stress/Strain
Stress
Go Stress = Force/Area

14 Basics of Strength of Materials Calculators

Brinell Hardness Number
Go Brinell Hardness Number = Load/((0.5*pi*Diameter of Ball Indentor)*(Diameter of Ball Indentor-(Diameter of Ball Indentor^2-Diameter of Indentation^2)^0.5))
Total Angle of Twist
Go Total Angle of Twist = (Torque Exerted on Wheel*Shaft Length)/(Shear Modulus*Polar Moment of Inertia)
Equivalent Bending Moment
Go Equivalent Bending Moment = Bending Moment+sqrt(Bending Moment^(2)+Torque Exerted on Wheel^(2))
Hooke's Law
Go Young's Modulus = (Load*Elongation)/(Area of Base*Initial Length)
Equivalent Torsional Moment
Go Equivalent Torsion Moment = sqrt(Bending Moment^(2)+Torque Exerted on Wheel^(2))
Rankine's Formula for Columns
Go Rankine’s Critical Load = 1/(1/Euler’s Buckling Load+1/Ultimate Crushing Load for Columns)
Slenderness Ratio
Go Slenderness Ratio = Effective Length/Least Radius of Gyration
Poisson's Ratio
Go Poisson's Ratio = -(Lateral Strain/Longitudinal Strain)
Pressure in Bubble
Go Pressure = (8*Surface Tension)/Diameter of Bubble
Bulk Modulus given Volume Stress and Strain
Go Bulk Modulus = Volume Stress/Volumetric Strain
Shear Modulus
Go Shear Modulus = Shear Stress/Shear Strain
Bulk Modulus given Bulk Stress and Strain
Go Bulk Modulus = Bulk Stress/Bulk Strain
Young's Modulus
Go Young's Modulus = Stress/Strain
Elastic Modulus
Go Young's Modulus = Stress/Strain

Young's Modulus Formula

Young's Modulus = Stress/Strain
E = σ/ε

How to Calculate Young's Modulus?

Young's Modulus calculator uses Young's Modulus = Stress/Strain to calculate the Young's Modulus, Young’s modulus which can also be called elastic modulus is a mechanical property of linear elastic solid substances. It describes the relationship between stress (force per unit area) and strain (proportional deformation in an object). Young's Modulus is denoted by E symbol.

How to calculate Young's Modulus using this online calculator? To use this online calculator for Young's Modulus, enter Stress (σ) & Strain (ε) and hit the calculate button. Here is how the Young's Modulus calculation can be explained with given input values -> 1600 = 1200/0.75.

FAQ

What is Young's Modulus?
Young’s modulus which can also be called elastic modulus is a mechanical property of linear elastic solid substances. It describes the relationship between stress (force per unit area) and strain (proportional deformation in an object) and is represented as E = σ/ε or Young's Modulus = Stress/Strain. The Stress applied to a material is the force per unit area applied to the material. The maximum stress a material can stand before it breaks is called the breaking stress or ultimate tensile stress & Strain is simply the measure of how much an object is stretched or deformed.
How to calculate Young's Modulus?
Young’s modulus which can also be called elastic modulus is a mechanical property of linear elastic solid substances. It describes the relationship between stress (force per unit area) and strain (proportional deformation in an object) is calculated using Young's Modulus = Stress/Strain. To calculate Young's Modulus, you need Stress (σ) & Strain (ε). With our tool, you need to enter the respective value for Stress & Strain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Young's Modulus?
In this formula, Young's Modulus uses Stress & Strain. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Young's Modulus = (Load*Elongation)/(Area of Base*Initial Length)
  • Young's Modulus = Stress/Strain
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