Modulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft Calculator

✖Length of Shaft is the distance between two ends of shaft.ⓘ Length of Shaft [L_shaft]			+10% -10%
✖Shear Stress in Shaft is when a shaft is subjected to torque or twisting shearing stress is produced in the shaft.ⓘ Shear Stress in Shaft [τ]			+10% -10%
✖The Radius of Shaft is the line segment extending from the center of a circle or sphere to the circumference or bounding surface.ⓘ Radius of Shaft [R]			+10% -10%
✖Angle of Twist SOM is the angle through which the fixed end of a shaft rotates with respect to the free end in Strength of Materials.ⓘ Angle of Twist SOM [θ_Torsion]			+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 of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft [G_Torsion]

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Modulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Rigidity = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Angle of Twist SOM)
G_Torsion = (L_shaft*τ)/(R*θ_Torsion)
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.
Length of Shaft - (Measured in Meter) - Length of Shaft is the distance between two ends of shaft.
Shear Stress in Shaft - (Measured in Pascal) - Shear Stress in Shaft is when a shaft is subjected to torque or twisting shearing stress is produced in the shaft.
Radius of Shaft - (Measured in Meter) - The Radius of Shaft is the line segment extending from the center of a circle or sphere to the circumference or bounding surface.
Angle of Twist SOM - (Measured in Radian) - Angle of Twist SOM is the angle through which the fixed end of a shaft rotates with respect to the free end in Strength of Materials.

STEP 1: Convert Input(s) to Base Unit

Length of Shaft: 4.58 Meter --> 4.58 Meter No Conversion Required
Shear Stress in Shaft: 180 Megapascal --> 180000000 Pascal (Check conversion here)
Radius of Shaft: 110 Millimeter --> 0.11 Meter (Check conversion here)
Angle of Twist SOM: 0.187 Radian --> 0.187 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_Torsion = (L_shaft*τ)/(R*θ_Torsion) --> (4.58*180000000)/(0.11*0.187)

Evaluating ... ...

G_Torsion = 40077783179.3875

STEP 3: Convert Result to Output's Unit

40077783179.3875 Pascal -->40.0777831793875 Gigapascal (Check conversion here)

FINAL ANSWER

40.0777831793875 ≈ 40.07778 Gigapascal <-- Modulus of Rigidity

(Calculation completed in 00.020 seconds)

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< Deviation of Shear Stress produced in a Circular Shaft subjected to Torsion Calculators

Length of Shaft with known Shear Strain at Outer Surface of Shaft

LaTeX Go Length of Shaft = (Radius of Shaft*Angle of Twist for Circular Shafts)/Shear Strain

Angle of Twist with known Shear Strain at Outer Surface of Shaft

LaTeX Go Angle of Twist for Circular Shafts = (Shear Strain*Length of Shaft)/Radius of Shaft

Radius of Shaft using Shear Strain at Outer Surface of Shaft

LaTeX Go Radius of Shaft = (Shear Strain*Length of Shaft)/Angle of Twist for Circular Shafts

Shear Strain at Outer Surface of Circular Shaft

LaTeX Go Shear Strain = (Radius of Shaft*Angle of Twist for Circular Shafts)/Length of Shaft

< Torsion Equation of Circular Shafts Calculators

Angle of Twist with known Shear Stress induced at Radius r from Center of Shaft

LaTeX Go Angle of Twist SOM = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Modulus of Rigidity)

Angle of Twist with known Shear Stress in Shaft

LaTeX Go Angle of Twist SOM = (Shear Stress in Shaft*Length of Shaft)/(Radius of Shaft*Modulus of Rigidity)

Length of Shaft with known Shear Strain at Outer Surface of Shaft

LaTeX Go Length of Shaft = (Radius of Shaft*Angle of Twist for Circular Shafts)/Shear Strain

Angle of Twist with known Shear Strain at Outer Surface of Shaft

LaTeX Go Angle of Twist for Circular Shafts = (Shear Strain*Length of Shaft)/Radius of Shaft

Modulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft Formula

LaTeX Go

Modulus of Rigidity = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Angle of Twist SOM)
G_Torsion = (L_shaft*τ)/(R*θ_Torsion)

What is Torsional Force?

A Torsion Force is a load that is applied to material through torque. The torque that is applied creates shear stress. If a torsion force is large enough, it can cause a material to undergo a twisting motion during elastic and plastic deformation.

What is Modulus of Rigidity?

The Modulus of Rigidity is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is. The table given below briefs everything you need to know about rigidity modulus. Shear modulus is the ratio of shear stress to shear strain in a body.

How to Calculate Modulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft?

Modulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft calculator uses Modulus of Rigidity = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Angle of Twist SOM) to calculate the Modulus of Rigidity, Modulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. Modulus of Rigidity is denoted by G_Torsion symbol.

How to calculate Modulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft using this online calculator? To use this online calculator for Modulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft, enter Length of Shaft (L_shaft), Shear Stress in Shaft (τ), Radius of Shaft (R) & Angle of Twist SOM (θ_Torsion) and hit the calculate button. Here is how the Modulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft calculation can be explained with given input values -> 4E-8 = (4.58*180000000)/(0.11*0.187).

FAQ

What is Modulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft?

Modulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain and is represented as G_Torsion = (L_shaft*τ)/(R*θ_Torsion) or Modulus of Rigidity = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Angle of Twist SOM). Length of Shaft is the distance between two ends of shaft, Shear Stress in Shaft is when a shaft is subjected to torque or twisting shearing stress is produced in the shaft, The Radius of Shaft is the line segment extending from the center of a circle or sphere to the circumference or bounding surface & Angle of Twist SOM is the angle through which the fixed end of a shaft rotates with respect to the free end in Strength of Materials.

How to calculate Modulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft?

Modulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain is calculated using Modulus of Rigidity = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Angle of Twist SOM). To calculate Modulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft, you need Length of Shaft (L_shaft), Shear Stress in Shaft (τ), Radius of Shaft (R) & Angle of Twist SOM (θ_Torsion). With our tool, you need to enter the respective value for Length of Shaft, Shear Stress in Shaft, Radius of Shaft & Angle of Twist SOM 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 Length of Shaft, Shear Stress in Shaft, Radius of Shaft & Angle of Twist SOM. We can use 2 other way(s) to calculate the same, which is/are as follows -

Modulus of Rigidity = (Shear Stress in Shaft*Length of Shaft)/(Radius of Shaft*Angle of Twist SOM)
Modulus of Rigidity = (Shear Stress in Shaft*Length of Shaft)/(Radius of Shaft*Angle of Twist SOM)

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