Stress using Hook's Law Calculator

✖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]			+10% -10%
✖Lateral Strain is the ratio of change in diameter to original diameter.ⓘ Lateral Strain [ε_L]			+10% -10%

✖Direct Stress is the stress developed due to force applied which is parallel or collinear to the axis of the component.ⓘ Stress using Hook's Law [σ]

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Formula

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Stress using Hook's Law

Formula

σ = E \cdot ε L

Example

400 MPa = 20000 MPa \cdot 0.02

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Stress using Hook's Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Direct Stress = Young's Modulus*Lateral Strain
σ = E*ε_L
This formula uses 3 Variables

Variables Used

Direct Stress - (Measured in Pascal) - Direct Stress is the stress developed due to force applied which is parallel or collinear to the axis of the component.
Young's Modulus - (Measured in Pascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Lateral Strain - Lateral Strain is the ratio of change in diameter to original diameter.

STEP 1: Convert Input(s) to Base Unit

Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
Lateral Strain: 0.02 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ = E*ε_L --> 20000000000*0.02

Evaluating ... ...

σ = 400000000

STEP 3: Convert Result to Output's Unit

400000000 Pascal -->400 Megapascal (Check conversion here)

FINAL ANSWER

400 Megapascal <-- Direct Stress

(Calculation completed in 00.020 seconds)

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Credits

Created by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has created this Calculator and 100+ more calculators!

Verified by Rushi Shah

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

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< Strain Energy in Structural Members Calculators

Shear Force using Strain Energy

Go Shear Force = sqrt(2*Strain Energy*Area of Cross-Section*Modulus of Rigidity/Length of Member)

Strain Energy in Shear

Go Strain Energy = (Shear Force^2)*Length of Member/(2*Area of Cross-Section*Modulus of Rigidity)

Length over which Deformation takes place given Strain Energy in Shear

Go Length of Member = 2*Strain Energy*Area of Cross-Section*Modulus of Rigidity/(Shear Force^2)

Stress using Hook's Law

Go Direct Stress = Young's Modulus*Lateral Strain

Stress using Hook's Law Formula

Direct Stress = Young's Modulus*Lateral Strain
σ = E*ε_L

What is Stress using Hook's Law?

Hook's Law states that stress is proportional to strain up to elastic limit.The analysis procedure accepting Hooke’s law is known as Linear Analysis and the design procedure is known as the working stress method.

How to Calculate Stress using Hook's Law?

Stress using Hook's Law calculator uses Direct Stress = Young's Modulus*Lateral Strain to calculate the Direct Stress, The Stress using Hook's Law formula is defined as Modulus of Elasticity*Strain i.e., s=E*e Hook's Law states that stress is proportional to strain up to an elastic limit. Direct Stress is denoted by σ symbol.

How to calculate Stress using Hook's Law using this online calculator? To use this online calculator for Stress using Hook's Law, enter Young's Modulus (E) & Lateral Strain (ε_L) and hit the calculate button. Here is how the Stress using Hook's Law calculation can be explained with given input values -> 0.0004 = 20000000000*0.02.

FAQ

What is Stress using Hook's Law?

The Stress using Hook's Law formula is defined as Modulus of Elasticity*Strain i.e., s=E*e Hook's Law states that stress is proportional to strain up to an elastic limit and is represented as σ = E*ε_L or Direct Stress = Young's Modulus*Lateral Strain. Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain & Lateral Strain is the ratio of change in diameter to original diameter.

How to calculate Stress using Hook's Law?

The Stress using Hook's Law formula is defined as Modulus of Elasticity*Strain i.e., s=E*e Hook's Law states that stress is proportional to strain up to an elastic limit is calculated using Direct Stress = Young's Modulus*Lateral Strain. To calculate Stress using Hook's Law, you need Young's Modulus (E) & Lateral Strain (ε_L). With our tool, you need to enter the respective value for Young's Modulus & Lateral Strain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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