Young's Modulus Calculator

✖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.ⓘ Stress [σ]			+10% -10%
✖Strain is simply the measure of how much an object is stretched or deformed.ⓘ Strain [ε]			+10% -10%

✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]

⎘ Copy

👎

Formula

✖

Young's Modulus

Formula

`"E" = "σ"/"ε"`

Example

`"1600N/m"="1200Pa"/"0.75"`

Calculator

LaTeX

Reset

👍

Download Natural Frequency of Free Longitudinal Vibrations Formula PDF PDF Image

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)

You are here -

Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Natural Frequency of Free Longitudinal Vibrations » Equilibrium Method » Young's Modulus

Credits

Created by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has created this Calculator and 600+ more calculators!

Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 800+ more calculators!

< 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

< 21 Stress and Strain Calculators

Normal Stress 1

Go Normal Stress 1 = (Principal Stress along x+Principal Stress along y)/2+sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress on Upper Surface^2)

Normal Stress 2

Go Normal Stress 2 = (Principal Stress along x+Principal Stress along y)/2-sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress on Upper Surface^2)

Elongation Circular Tapered Bar

Go Elongation = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus)

Total Angle of Twist

Go Total Angle of Twist = (Torque Exerted on Wheel*Shaft Length)/(Shear Modulus*Polar Moment of Inertia)

Moment of Inertia for Hollow Circular Shaft

Go Polar Moment of Inertia = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4))

Equivalent Bending Moment

Go Equivalent Bending Moment = Bending Moment+sqrt(Bending Moment^(2)+Torque Exerted on Wheel^(2))

Deflection of Fixed Beam with Uniformly Distributed Load

Go Deflection of Beam = (Width of Beam*Beam Length^4)/(384*Elastic Modulus*Moment of Inertia)

Deflection of Fixed Beam with Load at Center

Go Deflection of Beam = (Width of Beam*Beam Length^3)/(192*Elastic Modulus*Moment of Inertia)

Elongation of Prismatic Bar due to its Own Weight

Go Elongation = (2*Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)

Axial Elongation of Prismatic Bar due to External Load

Go Elongation = (Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)

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

Moment of Inertia about Polar Axis

Go Polar Moment of Inertia = (pi*Diameter of Shaft^(4))/32

Torque on Shaft

Go Torque Exerted on Shaft = Force*Shaft Diameter/2

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

Home

FREE PDFs

🔍 Search