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

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Modulus of Rigidity given Shear Resilience Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 55 Megapascal --> 55000000 Pascal (Check conversion here)
Shear Resilience: 37812.5 Joule per Cubic Meter --> 37812.5 Joule per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_Torsion = τ^2/(2*SEV) --> 55000000^2/(2*37812.5)

Evaluating ... ...

G_Torsion = 40000000000

STEP 3: Convert Result to Output's Unit

40000000000 Pascal -->40 Gigapascal (Check conversion here)

FINAL ANSWER

40 Gigapascal <-- Modulus of Rigidity

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Shear Resilience Calculators

Shear Stress given Shear Resilience

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

Modulus of Rigidity given Shear Resilience

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

Shear Resilience

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

Modulus of Rigidity given Shear Resilience Formula

LaTeX Go

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

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 Modulus of Rigidity given Shear Resilience?

Modulus of Rigidity given Shear Resilience calculator uses Modulus of Rigidity = Shear Stress^2/(2*Shear Resilience) to calculate the Modulus of Rigidity, The Modulus of Rigidity given Shear Resilience formula is defined as the modulus of rigidity of the material that allows the production of shared shear resilience when shear loading is unaltered. Modulus of Rigidity is denoted by G_Torsion symbol.

How to calculate Modulus of Rigidity given Shear Resilience using this online calculator? To use this online calculator for Modulus of Rigidity given Shear Resilience, enter Shear Stress (τ) & Shear Resilience (SEV) and hit the calculate button. Here is how the Modulus of Rigidity given Shear Resilience calculation can be explained with given input values -> 5E-8 = 55000000^2/(2*37812.5).

FAQ

What is Modulus of Rigidity given Shear Resilience?

The Modulus of Rigidity given Shear Resilience formula is defined as the modulus of rigidity of the material that allows the production of shared shear resilience when shear loading is unaltered and is represented as G_Torsion = τ^2/(2*SEV) or Modulus of Rigidity = Shear Stress^2/(2*Shear Resilience). Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & Shear Resilience is the total strain energy stored in a given volume of material within the elastic limit.

How to calculate Modulus of Rigidity given Shear Resilience?

The Modulus of Rigidity given Shear Resilience formula is defined as the modulus of rigidity of the material that allows the production of shared shear resilience when shear loading is unaltered is calculated using Modulus of Rigidity = Shear Stress^2/(2*Shear Resilience). To calculate Modulus of Rigidity given Shear Resilience, you need Shear Stress (τ) & Shear Resilience (SEV). With our tool, you need to enter the respective value for Shear Stress & Shear Resilience 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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