Shear Stress given Shear Resilience Calculator

✖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 [G_Torsion]			+10% -10%

✖Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress given Shear Resilience [τ]

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Shear Stress given Shear Resilience Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = sqrt(2*Shear Resilience*Modulus of Rigidity)
τ = sqrt(2*SEV*G_Torsion)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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 Resilience: 37812.5 Joule per Cubic Meter --> 37812.5 Joule per Cubic Meter No Conversion Required
Modulus of Rigidity: 40 Gigapascal --> 40000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = sqrt(2*SEV*G_Torsion) --> sqrt(2*37812.5*40000000000)

Evaluating ... ...

τ = 55000000

STEP 3: Convert Result to Output's Unit

55000000 Pascal -->55 Megapascal (Check conversion here)

FINAL ANSWER

55 Megapascal <-- Shear Stress

(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)

Shear Stress given Shear Resilience Formula

LaTeX Go

Shear Stress = sqrt(2*Shear Resilience*Modulus of Rigidity)
τ = sqrt(2*SEV*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 Stress given Shear Resilience?

Shear Stress given Shear Resilience calculator uses Shear Stress = sqrt(2*Shear Resilience*Modulus of Rigidity) to calculate the Shear Stress, The Shear Stress given Shear Resilience formula is defined as the shear loading or stress that produces given shear resilience when the modulus of rigidity is unaltered. Shear Stress is denoted by τ symbol.

How to calculate Shear Stress given Shear Resilience using this online calculator? To use this online calculator for Shear Stress given Shear Resilience, enter Shear Resilience (SEV) & Modulus of Rigidity (G_Torsion) and hit the calculate button. Here is how the Shear Stress given Shear Resilience calculation can be explained with given input values -> 4.9E-5 = sqrt(2*37812.5*40000000000).

FAQ

What is Shear Stress given Shear Resilience?

The Shear Stress given Shear Resilience formula is defined as the shear loading or stress that produces given shear resilience when the modulus of rigidity is unaltered and is represented as τ = sqrt(2*SEV*G_Torsion) or Shear Stress = sqrt(2*Shear Resilience*Modulus of Rigidity). Shear Resilience is the total strain energy stored in a given volume of material within the elastic limit & 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 Stress given Shear Resilience?

The Shear Stress given Shear Resilience formula is defined as the shear loading or stress that produces given shear resilience when the modulus of rigidity is unaltered is calculated using Shear Stress = sqrt(2*Shear Resilience*Modulus of Rigidity). To calculate Shear Stress given Shear Resilience, you need Shear Resilience (SEV) & Modulus of Rigidity (G_Torsion). With our tool, you need to enter the respective value for Shear Resilience & 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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