Shear Modulus of Elasticity given Strain Energy in Shear Calculator

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [V]			+10% -10%
✖Length of Member is the measurement or extent of member (beam or column) from end to end.ⓘ Length of Member [L]			+10% -10%
✖Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area.ⓘ Area of Cross-Section [A]			+10% -10%
✖Strain Energy is the energy adsorption of material due to strain under an applied load. It is also equal to the work done on a specimen by an external force.ⓘ Strain Energy [U]			+10% -10%

✖Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.ⓘ Shear Modulus of Elasticity given Strain Energy in Shear [G_Torsion]

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Shear Modulus of Elasticity given Strain Energy in Shear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Rigidity = (Shear Force^2)*Length of Member/(2*Area of Cross-Section*Strain Energy)
G_Torsion = (V^2)*L/(2*A*U)
This formula uses 5 Variables

Variables Used

Modulus of Rigidity - (Measured in Pascal) - Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Length of Member - (Measured in Meter) - Length of Member is the measurement or extent of member (beam or column) from end to end.
Area of Cross-Section - (Measured in Square Meter) - Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area.
Strain Energy - (Measured in Joule) - Strain Energy is the energy adsorption of material due to strain under an applied load. It is also equal to the work done on a specimen by an external force.

STEP 1: Convert Input(s) to Base Unit

Shear Force: 143 Kilonewton --> 143000 Newton (Check conversion here)
Length of Member: 3000 Millimeter --> 3 Meter (Check conversion here)
Area of Cross-Section: 5600 Square Millimeter --> 0.0056 Square Meter (Check conversion here)
Strain Energy: 136.08 Newton Meter --> 136.08 Joule (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_Torsion = (V^2)*L/(2*A*U) --> (143000^2)*3/(2*0.0056*136.08)

Evaluating ... ...

G_Torsion = 40251401486.5205

STEP 3: Convert Result to Output's Unit

40251401486.5205 Pascal -->40.2514014865205 Gigapascal (Check conversion here)

FINAL ANSWER

40.2514014865205 ≈ 40.2514 Gigapascal <-- Modulus of Rigidity

(Calculation completed in 00.004 seconds)

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< Strain Energy in Structural Members Calculators

Shear Force using Strain Energy

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

Strain Energy in Shear

LaTeX 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

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

Stress using Hook's Law

LaTeX Go Direct Stress = Young's Modulus*Lateral Strain

Shear Modulus of Elasticity given Strain Energy in Shear Formula

LaTeX Go

Modulus of Rigidity = (Shear Force^2)*Length of Member/(2*Area of Cross-Section*Strain Energy)
G_Torsion = (V^2)*L/(2*A*U)

What does a higher Modulus of Rigidity mean?

The modulus of rigidity, also known as shear modulus, is defined as the ratio of shear stress to shear strain of a structural member. This property depends on the material of the member: the more elastic the member, the higher the modulus of rigidity.

How to Calculate Shear Modulus of Elasticity given Strain Energy in Shear?

Shear Modulus of Elasticity given Strain Energy in Shear calculator uses Modulus of Rigidity = (Shear Force^2)*Length of Member/(2*Area of Cross-Section*Strain Energy) to calculate the Modulus of Rigidity, The Shear Modulus of Elasticity given Strain Energy in Shear formula is defined as the slope of the linear elastic region of the shear stress-strain curve. Modulus of Rigidity is denoted by G_Torsion symbol.

How to calculate Shear Modulus of Elasticity given Strain Energy in Shear using this online calculator? To use this online calculator for Shear Modulus of Elasticity given Strain Energy in Shear, enter Shear Force (V), Length of Member (L), Area of Cross-Section (A) & Strain Energy (U) and hit the calculate button. Here is how the Shear Modulus of Elasticity given Strain Energy in Shear calculation can be explained with given input values -> 4E-8 = (143000^2)*3/(2*0.0056*136.08).

FAQ

What is Shear Modulus of Elasticity given Strain Energy in Shear?

The Shear Modulus of Elasticity given Strain Energy in Shear formula is defined as the slope of the linear elastic region of the shear stress-strain curve and is represented as G_Torsion = (V^2)*L/(2*A*U) or Modulus of Rigidity = (Shear Force^2)*Length of Member/(2*Area of Cross-Section*Strain Energy). Shear Force is the force which causes shear deformation to occur in the shear plane, Length of Member is the measurement or extent of member (beam or column) from end to end, Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area & Strain Energy is the energy adsorption of material due to strain under an applied load. It is also equal to the work done on a specimen by an external force.

How to calculate Shear Modulus of Elasticity given Strain Energy in Shear?

The Shear Modulus of Elasticity given Strain Energy in Shear formula is defined as the slope of the linear elastic region of the shear stress-strain curve is calculated using Modulus of Rigidity = (Shear Force^2)*Length of Member/(2*Area of Cross-Section*Strain Energy). To calculate Shear Modulus of Elasticity given Strain Energy in Shear, you need Shear Force (V), Length of Member (L), Area of Cross-Section (A) & Strain Energy (U). With our tool, you need to enter the respective value for Shear Force, Length of Member, Area of Cross-Section & Strain Energy 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 Rigidity?

In this formula, Modulus of Rigidity uses Shear Force, Length of Member, Area of Cross-Section & Strain Energy. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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