Strain Energy due to Pure Shear Calculator

✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [𝜏]			+10% -10%
✖Volume is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume [V_T]			+10% -10%
✖Shear Modulus in Pa is the slope of the linear elastic region of the shear stress-strain curve.ⓘ Shear Modulus [G_pa]			+10% -10%

✖The Strain Energy is defined as the energy stored in a body due to deformation.ⓘ Strain Energy due to Pure Shear [U]

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Formula

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Strain Energy due to Pure Shear

Formula

`"U" = "𝜏"*"𝜏"*"V"_{"T"}/(2*"G"_{"pa"})`

Example

`"0.314995KJ"="100Pa"*"100Pa"*"0.63m³"/(2*"10.00015Pa")`

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Strain Energy due to Pure Shear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strain Energy = Shear Stress*Shear Stress*Volume/(2*Shear Modulus)
U = 𝜏*𝜏*V_T/(2*G_pa)
This formula uses 4 Variables

Variables Used

Strain Energy - (Measured in Joule) - The Strain Energy is defined as the energy stored in a body due to deformation.
Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Volume - (Measured in Cubic Meter) - Volume is the amount of space that a substance or object occupies or that is enclosed within a container.
Shear Modulus - (Measured in Pascal) - Shear Modulus in Pa is the slope of the linear elastic region of the shear stress-strain curve.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 100 Pascal --> 100 Pascal No Conversion Required
Volume: 0.63 Cubic Meter --> 0.63 Cubic Meter No Conversion Required
Shear Modulus: 10.00015 Pascal --> 10.00015 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U = 𝜏*𝜏*V_T/(2*G_pa) --> 100*100*0.63/(2*10.00015)

Evaluating ... ...

U = 314.995275070874

STEP 3: Convert Result to Output's Unit

314.995275070874 Joule -->0.314995275070874 Kilojoule (Check conversion here)

FINAL ANSWER

0.314995275070874 ≈ 0.314995 Kilojoule <-- Strain Energy

(Calculation completed in 00.004 seconds)

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Created by Pragati Jaju

College Of Engineering (COEP), Pune

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< 8 Strain Energy Calculators

Strain Energy due to Torsion in Hollow Shaft

Go Strain Energy = Shear Stress^(2)*(Outer Diameter of Shaft^(2)+Inner Diameter of Shaft^(2))*Volume of Shaft/(4*Shear Modulus*Outer Diameter of Shaft^(2))

Strain Energy given Moment Value

Go Strain Energy = (Bending Moment*Bending Moment*Length)/(2*Elastic Modulus*Moment of Inertia)

Strain Energy given Torsion Moment Value

Go Strain Energy = (Torsion Load*Length)/(2*Shear Modulus*Polar Moment of Inertia)

Strain Energy due to Pure Shear

Go Strain Energy = Shear Stress*Shear Stress*Volume/(2*Shear Modulus)

Strain Energy given Applied Tension Load

Go Strain Energy = Load^2*Length/(2*Area of Base*Young's Modulus)

Strain Energy in Torsion for Solid Shaft

Go Strain Energy = Shear Stress^(2)*Volume of Shaft/(4*Shear Modulus)

Strain Energy in Torsion using Total Angle of Twist

Go Strain Energy = 0.5*Torque*Total Angle of Twist*(180/pi)

Strain Energy Density

Go Strain Energy Density = 0.5*Principle Stress*Principle Strain

Strain Energy due to Pure Shear Formula

Strain Energy = Shear Stress*Shear Stress*Volume/(2*Shear Modulus)
U = 𝜏*𝜏*V_T/(2*G_pa)

What is pure shear?

Pure shear is a three-dimensional homogeneous flattening of a body.[1] It is an example of irrotational strain in which body is elongated in one direction while being shortened perpendicularly.

How to Calculate Strain Energy due to Pure Shear?

Strain Energy due to Pure Shear calculator uses Strain Energy = Shear Stress*Shear Stress*Volume/(2*Shear Modulus) to calculate the Strain Energy, The Strain energy due to pure shear is a type of potential energy that is stored in a structural member as a result of elastic deformation. Strain Energy is denoted by U symbol.

How to calculate Strain Energy due to Pure Shear using this online calculator? To use this online calculator for Strain Energy due to Pure Shear, enter Shear Stress (𝜏), Volume (V_T) & Shear Modulus (G_pa) and hit the calculate button. Here is how the Strain Energy due to Pure Shear calculation can be explained with given input values -> 8.5E-5 = 100*100*0.63/(2*10.00015).

FAQ

What is Strain Energy due to Pure Shear?

The Strain energy due to pure shear is a type of potential energy that is stored in a structural member as a result of elastic deformation and is represented as U = 𝜏*𝜏*V_T/(2*G_pa) or Strain Energy = Shear Stress*Shear Stress*Volume/(2*Shear Modulus). Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, Volume is the amount of space that a substance or object occupies or that is enclosed within a container & Shear Modulus in Pa is the slope of the linear elastic region of the shear stress-strain curve.

How to calculate Strain Energy due to Pure Shear?

The Strain energy due to pure shear is a type of potential energy that is stored in a structural member as a result of elastic deformation is calculated using Strain Energy = Shear Stress*Shear Stress*Volume/(2*Shear Modulus). To calculate Strain Energy due to Pure Shear, you need Shear Stress (𝜏), Volume (V_T) & Shear Modulus (G_pa). With our tool, you need to enter the respective value for Shear Stress, Volume & Shear Modulus 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 Strain Energy?

In this formula, Strain Energy uses Shear Stress, Volume & Shear Modulus. We can use 6 other way(s) to calculate the same, which is/are as follows -

Strain Energy = Shear Stress^(2)*(Outer Diameter of Shaft^(2)+Inner Diameter of Shaft^(2))*Volume of Shaft/(4*Shear Modulus*Outer Diameter of Shaft^(2))
Strain Energy = Load^2*Length/(2*Area of Base*Young's Modulus)
Strain Energy = (Bending Moment*Bending Moment*Length)/(2*Elastic Modulus*Moment of Inertia)
Strain Energy = (Torsion Load*Length)/(2*Shear Modulus*Polar Moment of Inertia)
Strain Energy = Shear Stress^(2)*Volume of Shaft/(4*Shear Modulus)
Strain Energy = 0.5*Torque*Total Angle of Twist*(180/pi)

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