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## Credits

Cummins College of Engineering for Women (CCEW), Pune
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Osmania University (OU), Hyderabad
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## Length over which Deformation Takes Place when Strain Energy in Shear is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
length = 2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2)
l = 2*U*A*G/(Fs^2)
This formula uses 4 Variables
Variables Used
Strain Energy - The Strain energy is defined as the energy stored in a body due to deformation. (Measured in Joule)
Shear Area - The shear area represents the area of the cross section that is effective in resisting shear deformation. (Measured in Square Meter)
Shear Modulus of Elasticity - Shear Modulus of Elasticity is one of the measures of mechanical properties of solids. Other elastic moduli are Young's modulus and bulk modulus. (Measured in Newton per Square Meter)
Shear Force - Shear Force is the force which causes shear deformation to occur in the shear plane. (Measured in Newton)
STEP 1: Convert Input(s) to Base Unit
Strain Energy: 50 Joule --> 50 Joule No Conversion Required
Shear Area: 4 Square Meter --> 4 Square Meter No Conversion Required
Shear Modulus of Elasticity: 100 Newton per Square Meter --> 100 Pascal (Check conversion here)
Shear Force: 50 Newton --> 50 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = 2*U*A*G/(Fs^2) --> 2*50*4*100/(50^2)
Evaluating ... ...
l = 16
STEP 3: Convert Result to Output's Unit
16 Meter --> No Conversion Required
FINAL ANSWER
16 Meter <-- Length
(Calculation completed in 00.036 seconds)

## < 10+ Strain Energy in Structural Members Calculators

Length over which Deformation Takes Place when Strain Energy in Torsion is Given
length = sqrt(2*Strain Energy*Polar moment of Inertia*Shear Modulus of Elasticity/Torque^2) Go
Torque when Strain Energy in Torsion is Given
torque = sqrt(2*Strain Energy*Polar moment of Inertia*Shear Modulus of Elasticity/Length) Go
Shear Load when Strain Energy in Shear is Given
shear_force = sqrt(2*Strain Energy*Shear Area*Shear Modulus of Elasticity/Length) Go
Strain Energy in Torsion when Polar MI and Shear Modulus of Elasticity is Given
strain_energy = (Torque^2)*Length/(2*Polar moment of Inertia*Shear Modulus of Elasticity) Go
Strain Energy in Shear when Shear Deformation is Given
strain_energy = (Shear Area*Shear Modulus of Elasticity*(Shear Deformation^2))/(2*Length) Go
Shear Modulus of Elasticity when Strain Energy in Shear is Given
shear_modulus_of_elasticity = (Shear Force^2)*Length/(2*Shear Area*Strain Energy) Go
Shear Area when Strain Energy in Shear is Given
shear_area = (Shear Force^2)*Length/(2*Strain Energy*Shear Modulus of Elasticity) Go
Strain Energy in Shear
strain_energy = (Shear Force^2)*Length/(2*Shear Area*Shear Modulus of Elasticity) Go
Length over which Deformation Takes Place when Strain Energy in Shear is Given
length = 2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2) Go
Stress using Hook's Law
stress_shear = Modulus Of Elasticity*Engineering strain Go

### Length over which Deformation Takes Place when Strain Energy in Shear is Given Formula

length = 2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2)
l = 2*U*A*G/(Fs^2)

## How does shear deformation take place?

Shearing forces cause shearing deformation. An element subject to shear does not change in length alone but undergoes a change in shape,this is how a shear deformation takesplace.

## How to Calculate Length over which Deformation Takes Place when Strain Energy in Shear is Given?

Length over which Deformation Takes Place when Strain Energy in Shear is Given calculator uses length = 2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2) to calculate the Length, The Length over which Deformation Takes Place when Strain Energy in Shear is Given formula is defined as original length of specimen or structure or body before the deformation. Length and is denoted by l symbol.

How to calculate Length over which Deformation Takes Place when Strain Energy in Shear is Given using this online calculator? To use this online calculator for Length over which Deformation Takes Place when Strain Energy in Shear is Given, enter Strain Energy (U), Shear Area (A), Shear Modulus of Elasticity (G) and Shear Force (Fs) and hit the calculate button. Here is how the Length over which Deformation Takes Place when Strain Energy in Shear is Given calculation can be explained with given input values -> 16 = 2*50*4*100/(50^2).

### FAQ

What is Length over which Deformation Takes Place when Strain Energy in Shear is Given?
The Length over which Deformation Takes Place when Strain Energy in Shear is Given formula is defined as original length of specimen or structure or body before the deformation and is represented as l = 2*U*A*G/(Fs^2) or length = 2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2). The Strain energy is defined as the energy stored in a body due to deformation, The shear area represents the area of the cross section that is effective in resisting shear deformation, Shear Modulus of Elasticity is one of the measures of mechanical properties of solids. Other elastic moduli are Young's modulus and bulk modulus and Shear Force is the force which causes shear deformation to occur in the shear plane.
How to calculate Length over which Deformation Takes Place when Strain Energy in Shear is Given?
The Length over which Deformation Takes Place when Strain Energy in Shear is Given formula is defined as original length of specimen or structure or body before the deformation is calculated using length = 2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2). To calculate Length over which Deformation Takes Place when Strain Energy in Shear is Given, you need Strain Energy (U), Shear Area (A), Shear Modulus of Elasticity (G) and Shear Force (Fs). With our tool, you need to enter the respective value for Strain Energy, Shear Area, Shear Modulus of Elasticity and Shear Force 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 Length?
In this formula, Length uses Strain Energy, Shear Area, Shear Modulus of Elasticity and Shear Force. We can use 10 other way(s) to calculate the same, which is/are as follows -
• stress_shear = Modulus Of Elasticity*Engineering strain
• shear_force = sqrt(2*Strain Energy*Shear Area*Shear Modulus of Elasticity/Length)
• strain_energy = (Shear Force^2)*Length/(2*Shear Area*Shear Modulus of Elasticity)
• length = 2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2)
• shear_area = (Shear Force^2)*Length/(2*Strain Energy*Shear Modulus of Elasticity)
• shear_modulus_of_elasticity = (Shear Force^2)*Length/(2*Shear Area*Strain Energy)
• strain_energy = (Shear Area*Shear Modulus of Elasticity*(Shear Deformation^2))/(2*Length)
• strain_energy = (Torque^2)*Length/(2*Polar moment of Inertia*Shear Modulus of Elasticity)
• torque = sqrt(2*Strain Energy*Polar moment of Inertia*Shear Modulus of Elasticity/Length)
• length = sqrt(2*Strain Energy*Polar moment of Inertia*Shear Modulus of Elasticity/Torque^2)
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Among many, Length over which Deformation Takes Place when Strain Energy in Shear is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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