Shear Resilience Calculator

✖Shear Stress, 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%
✖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.ⓘ Modulus of Rigidity [G_Torsion]			+10% -10%

✖Shear Resilience is the total strain energy stored in a given volume of material within the elastic limit.ⓘ Shear Resilience [SEV]

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Formula

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Shear Resilience

Formula

`"SEV" = "τ"^2/(2*"G"_{"Torsion"})`

Example

`"37812.5J/m³"=("55MPa")^2/(2*"40GPa")`

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Shear Resilience Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Resilience = Shear Stress^2/(2*Modulus of Rigidity)
SEV = τ^2/(2*G_Torsion)
This formula uses 3 Variables

Variables Used

Shear Resilience - (Measured in Joule per Cubic Meter) - Shear Resilience is the total strain energy stored in a given volume of material within the elastic limit.
Shear Stress - (Measured in Pascal) - Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
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.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 55 Megapascal --> 55000000 Pascal (Check conversion here)
Modulus of Rigidity: 40 Gigapascal --> 40000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SEV = τ^2/(2*G_Torsion) --> 55000000^2/(2*40000000000)

Evaluating ... ...

SEV = 37812.5

STEP 3: Convert Result to Output's Unit

37812.5 Joule per Cubic Meter --> No Conversion Required

FINAL ANSWER

37812.5 Joule per Cubic Meter <-- Shear Resilience

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 3 Shear Resilience Calculators

Shear Stress given Shear Resilience

Go Shear Stress = sqrt(2*Shear Resilience*Modulus of Rigidity)

Modulus of Rigidity given Shear Resilience

Go Modulus of Rigidity = Shear Stress^2/(2*Shear Resilience)

Shear Resilience

Go Shear Resilience = Shear Stress^2/(2*Modulus of Rigidity)

Shear Resilience Formula

Shear Resilience = Shear Stress^2/(2*Modulus of Rigidity)
SEV = τ^2/(2*G_Torsion)

What is Shear Resilience?

In material science, resilience is the ability of a material to absorb energy when it is deformed elastically, and release that energy upon unloading.The elastic energy stored due to shear loading is known as Shear Resilience.

What is Eccentric Loading & Beam of Uniform Strength?

A load, whose line of action does not coincide with the axis of a column or a strut, is known as an eccentric load.
These beams have uniform cross section throughout their length. When they are loaded, there is a variation in bending moment from section to section along the length.

How to Calculate Shear Resilience?

Shear Resilience calculator uses Shear Resilience = Shear Stress^2/(2*Modulus of Rigidity) to calculate the Shear Resilience, The Shear Resilience formula is defined as strain energy stored in the material due to the applied shear force or shear loading. Shear Resilience is denoted by SEV symbol.

How to calculate Shear Resilience using this online calculator? To use this online calculator for Shear Resilience, enter Shear Stress (τ) & Modulus of Rigidity (G_Torsion) and hit the calculate button. Here is how the Shear Resilience calculation can be explained with given input values -> 37812.5 = 55000000^2/(2*40000000000).

FAQ

What is Shear Resilience?

The Shear Resilience formula is defined as strain energy stored in the material due to the applied shear force or shear loading and is represented as SEV = τ^2/(2*G_Torsion) or Shear Resilience = Shear Stress^2/(2*Modulus of Rigidity). Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & 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.

How to calculate Shear Resilience?

The Shear Resilience formula is defined as strain energy stored in the material due to the applied shear force or shear loading is calculated using Shear Resilience = Shear Stress^2/(2*Modulus of Rigidity). To calculate Shear Resilience, you need Shear Stress (τ) & Modulus of Rigidity (G_Torsion). With our tool, you need to enter the respective value for Shear Stress & Modulus of Rigidity 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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