Elastic 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.ⓘ Elastic Modulus [E]

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Formula

✖

Elastic Modulus

Formula

`"E" = "σ"/"ε"`

Example

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

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Elastic 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 00.020 seconds)

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Created by Team Softusvista

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Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

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< 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

Elastic Modulus Formula

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

What is Elastic Modulus?

Elastic Modulus the ratio of the force exerted upon a substance or body to the resultant deformation.

How to Calculate Elastic Modulus?

Elastic Modulus calculator uses Young's Modulus = Stress/Strain to calculate the Young's Modulus, The Elastic Modulus is defined as the ratio of stress to strain. Young's Modulus is denoted by E symbol.

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

FAQ

What is Elastic Modulus?

The Elastic Modulus is defined as the ratio of stress to strain 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 Elastic Modulus?

The Elastic Modulus is defined as the ratio of stress to strain is calculated using Young's Modulus = Stress/Strain. To calculate Elastic 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 = Stress/Strain
Young's Modulus = (Load*Elongation)/(Area of Base*Initial Length)

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