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"*"ε"_{"L"}`

Example

`"400MPa"="20000MPa"*"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 00.004 seconds)

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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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< 19 Strain Energy in Structural Members Calculators

Strain Energy in Torsion given Angle of Twist

Go Strain Energy = (Polar Moment of Inertia*Modulus of Rigidity*(Angle of Twist*(pi/180))^2)/(2*Length of Member)

Strain Energy for Pure Bending when Beam rotates in One End

Go Strain Energy = (Young's Modulus*Area Moment of Inertia*((Angle of Twist*(pi/180))^2)/(2*Length of Member))

Bending Moment using Strain Energy

Go Bending Moment = sqrt(Strain Energy*(2*Young's Modulus*Area Moment of Inertia)/Length of Member)

Torque given Strain Energy in Torsion

Go Torque SOM = sqrt(2*Strain Energy*Polar Moment of Inertia*Modulus of Rigidity/Length of Member)

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 given Shear Deformation

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

Length over which Deformation takes place using Strain Energy

Go Length of Member = (Strain Energy*(2*Young's Modulus*Area Moment of Inertia)/(Bending Moment^2))

Modulus of Elasticity with given Strain Energy

Go Young's Modulus = (Length of Member*(Bending Moment^2)/(2*Strain Energy*Area Moment of Inertia))

Moment of Inertia using Strain Energy

Go Area Moment of Inertia = Length of Member*((Bending Moment^2)/(2*Strain Energy*Young's Modulus))

Strain Energy in Bending

Go Strain Energy = ((Bending Moment^2)*Length of Member/(2*Young's Modulus*Area Moment of Inertia))

Strain Energy in Torsion given Polar MI and Shear Modulus of Elasticity

Go Strain Energy = (Torque SOM^2)*Length of Member/(2*Polar Moment of Inertia*Modulus of Rigidity)

Shear Modulus of Elasticity given Strain Energy in Torsion

Go Modulus of Rigidity = (Torque SOM^2)*Length of Member/(2*Polar Moment of Inertia*Strain Energy)

Polar Moment of Inertia given Strain Energy in Torsion

Go Polar Moment of Inertia = (Torque SOM^2)*Length of Member/(2*Strain Energy*Modulus of Rigidity)

Shear Modulus of Elasticity given Strain Energy in Shear

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

Shear Area given Strain Energy in Shear

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

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 Torsion

Go Length of Member = (2*Strain Energy*Polar Moment of Inertia*Modulus of Rigidity)/Torque SOM^2

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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