Modulus of Elasticity given Compressive Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Modulus of Elasticity = (Compressive Stress/Compressive Strain)
E = (σc/εcompressive)
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.
Compressive Stress - (Measured in Pascal) - Compressive Stress is the force that is responsible for the deformation of the material such that the volume of the material reduces.
Compressive Strain - The Compressive Strain is the ratio of change in length to the original length of the body when subjected to a compressive load.
STEP 1: Convert Input(s) to Base Unit
Compressive Stress: 6.4 Megapascal --> 6400000 Pascal (Check conversion here)
Compressive Strain: 0.1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = (σccompressive) --> (6400000/0.1)
Evaluating ... ...
E = 64000000
STEP 3: Convert Result to Output's Unit
64000000 Pascal -->64 Megapascal (Check conversion here)
FINAL ANSWER
64 Megapascal <-- Modulus of Elasticity
(Calculation completed in 00.020 seconds)

Credits

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 Compressive Stress Formula

Modulus of Elasticity = (Compressive Stress/Compressive Strain)
E = (σc/εcompressive)

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 Compressive Stress?

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

How to calculate Modulus of Elasticity given Compressive Stress using this online calculator? To use this online calculator for Modulus of Elasticity given Compressive Stress, enter Compressive Stress c) & Compressive Strain compressive) and hit the calculate button. Here is how the Modulus of Elasticity given Compressive Stress calculation can be explained with given input values -> 6.4E-5 = (6400000/0.1).

FAQ

What is Modulus of Elasticity given Compressive Stress?
The Modulus of Elasticity given Compressive Stress formula is defined as the ratio of compressive stress to the compressive strain. This ratio is also known as Young's modulus and is represented as E = (σccompressive) or Modulus of Elasticity = (Compressive Stress/Compressive Strain). Compressive Stress is the force that is responsible for the deformation of the material such that the volume of the material reduces & The Compressive Strain is the ratio of change in length to the original length of the body when subjected to a compressive load.
How to calculate Modulus of Elasticity given Compressive Stress?
The Modulus of Elasticity given Compressive Stress formula is defined as the ratio of compressive stress to the compressive strain. This ratio is also known as Young's modulus is calculated using Modulus of Elasticity = (Compressive Stress/Compressive Strain). To calculate Modulus of Elasticity given Compressive Stress, you need Compressive Stress c) & Compressive Strain compressive). With our tool, you need to enter the respective value for Compressive Stress & Compressive 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 Compressive Stress & Compressive Strain. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Modulus of Elasticity = (Tensile Stress/Tensile Strain)
  • Modulus of Elasticity = Normal Stress/Strain in Component
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