Modulus of Elasticity given Tensile Stress Calculator

✖Tensile Stress can be defined as the magnitude of force applied along an elastic rod, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force.ⓘ Tensile Stress [σ_t]			+10% -10%
✖Tensile Strain is the ratio of change in length to original length.ⓘ Tensile Strain [ε_tensile]			+10% -10%

✖Modulus of Elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it.ⓘ Modulus of Elasticity given Tensile Stress [E]

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Formula

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Modulus of Elasticity given Tensile Stress

Formula

`"E" = ("σ"_{"t"}/"ε"_{"tensile"})`

Example

`"5.65MPa"=("3.39MPa"/"0.6")`

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Modulus of Elasticity given Tensile Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Elasticity = (Tensile Stress/Tensile Strain)
E = (σ_t/ε_tensile)
This formula uses 3 Variables

Variables Used

Modulus of Elasticity - (Measured in Pascal) - Modulus of Elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it.
Tensile Stress - (Measured in Pascal) - Tensile Stress can be defined as the magnitude of force applied along an elastic rod, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force.
Tensile Strain - Tensile Strain is the ratio of change in length to original length.

STEP 1: Convert Input(s) to Base Unit

Tensile Stress: 3.39 Megapascal --> 3390000 Pascal (Check conversion here)
Tensile Strain: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (σ_t/ε_tensile) --> (3390000/0.6)

Evaluating ... ...

E = 5650000

STEP 3: Convert Result to Output's Unit

5650000 Pascal -->5.65 Megapascal (Check conversion here)

FINAL ANSWER

5.65 Megapascal <-- Modulus of Elasticity

(Calculation completed in 00.005 seconds)

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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K J Somaiya College of Engineering (K J Somaiya), Mumbai

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< 6 Relationship between Stress and Strain Calculators

Modulus of Elasticity given Compressive Stress

Go Modulus of Elasticity = (Compressive Stress/Compressive Strain)

Modulus of Elasticity given Normal Stress

Go Modulus of Elasticity = Normal Stress/Strain in Component

Modulus of Elasticity given Tensile Stress

Go Modulus of Elasticity = (Tensile Stress/Tensile Strain)

Factor of Safety

Go Factor of Safety = Ultimate Stress/Permissible Stress

Modulus of Rigidity given Shear Stress

Go Modulus of Rigidity = (Shear Stress/Shear Strain)

Margin of Safety

Go Margin of Safety = Factor of Safety-1

Modulus of Elasticity given Tensile Stress Formula

Modulus of Elasticity = (Tensile Stress/Tensile Strain)
E = (σ_t/ε_tensile)

What is Hooke's law?

Hooke's law states that when a material is loaded within the elastic limit, the stress is proportional to the strain produced by the stress. This means that the ratio of stress to the corresponding strain is a constant and this constant is called as Modulus of elasticity.

How to Calculate Modulus of Elasticity given Tensile Stress?

Modulus of Elasticity given Tensile Stress calculator uses Modulus of Elasticity = (Tensile Stress/Tensile Strain) to calculate the Modulus of Elasticity, The Modulus of Elasticity given Tensile Stress formula is defined as the ratio of tensile stress to tensile strain. The ratio is also known as Young's Modulus. Modulus of Elasticity is denoted by E symbol.

How to calculate Modulus of Elasticity given Tensile Stress using this online calculator? To use this online calculator for Modulus of Elasticity given Tensile Stress, enter Tensile Stress (σ_t) & Tensile Strain (ε_tensile) and hit the calculate button. Here is how the Modulus of Elasticity given Tensile Stress calculation can be explained with given input values -> 5.7E-6 = (3390000/0.6).

FAQ

What is Modulus of Elasticity given Tensile Stress?

The Modulus of Elasticity given Tensile Stress formula is defined as the ratio of tensile stress to tensile strain. The ratio is also known as Young's Modulus and is represented as E = (σ_t/ε_tensile) or Modulus of Elasticity = (Tensile Stress/Tensile Strain). Tensile Stress can be defined as the magnitude of force applied along an elastic rod, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force & Tensile Strain is the ratio of change in length to original length.

How to calculate Modulus of Elasticity given Tensile Stress?

The Modulus of Elasticity given Tensile Stress formula is defined as the ratio of tensile stress to tensile strain. The ratio is also known as Young's Modulus is calculated using Modulus of Elasticity = (Tensile Stress/Tensile Strain). To calculate Modulus of Elasticity given Tensile Stress, you need Tensile Stress (σ_t) & Tensile Strain (ε_tensile). With our tool, you need to enter the respective value for Tensile Stress & Tensile 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 Modulus of Elasticity?

In this formula, Modulus of Elasticity uses Tensile Stress & Tensile Strain. We can use 2 other way(s) to calculate the same, which is/are as follows -

Modulus of Elasticity = (Compressive Stress/Compressive Strain)
Modulus of Elasticity = Normal Stress/Strain in Component

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