Radius of Shaft using Shear Stress induced at Surface of Shaft Calculator

✖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%
✖Length of Shaft is the distance between two ends of shaft.ⓘ Length of Shaft [L_shaft]			+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%
✖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%

✖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 using Shear Stress induced at Surface of Shaft [R]

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Radius of Shaft using Shear Stress induced at Surface of Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Shaft = (Shear Stress in Shaft*Length of Shaft)/(Modulus of Rigidity*Angle of Twist SOM)
R = (τ*L_shaft)/(G_Torsion*θ_Torsion)
This formula uses 5 Variables

Variables Used

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.
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.
Length of Shaft - (Measured in Meter) - Length of Shaft is the distance between two ends of shaft.
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.
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

Shear Stress in Shaft: 180 Megapascal --> 180000000 Pascal (Check conversion here)
Length of Shaft: 4.58 Meter --> 4.58 Meter No Conversion Required
Modulus of Rigidity: 40 Gigapascal --> 40000000000 Pascal (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

R = (τ*L_shaft)/(G_Torsion*θ_Torsion) --> (180000000*4.58)/(40000000000*0.187)

Evaluating ... ...

R = 0.110213903743316

STEP 3: Convert Result to Output's Unit

0.110213903743316 Meter -->110.213903743316 Millimeter (Check conversion here)

FINAL ANSWER

110.213903743316 ≈ 110.2139 Millimeter <-- Radius of Shaft

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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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

Radius of Shaft using Shear Stress induced at Surface of Shaft Formula

LaTeX Go

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

How to Calculate Radius of Shaft using Shear Stress induced at Surface of Shaft?

Radius of Shaft using Shear Stress induced at Surface of Shaft calculator uses Radius of Shaft = (Shear Stress in Shaft*Length of Shaft)/(Modulus of Rigidity*Angle of Twist SOM) to calculate the Radius of Shaft, The Radius of Shaft using Shear Stress induced at Surface of Shaft formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Radius of Shaft is denoted by R symbol.

How to calculate Radius of Shaft using Shear Stress induced at Surface of Shaft using this online calculator? To use this online calculator for Radius of Shaft using Shear Stress induced at Surface of Shaft, enter Shear Stress in Shaft (τ), Length of Shaft (L_shaft), Modulus of Rigidity (G_Torsion) & Angle of Twist SOM (θ_Torsion) and hit the calculate button. Here is how the Radius of Shaft using Shear Stress induced at Surface of Shaft calculation can be explained with given input values -> 0.110214 = (180000000*4.58)/(40000000000*0.187).

FAQ

What is Radius of Shaft using Shear Stress induced at Surface of Shaft?

The Radius of Shaft using Shear Stress induced at Surface of Shaft formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface and is represented as R = (τ*L_shaft)/(G_Torsion*θ_Torsion) or Radius of Shaft = (Shear Stress in Shaft*Length of Shaft)/(Modulus of Rigidity*Angle of Twist SOM). Shear Stress in Shaft is when a shaft is subjected to torque or twisting shearing stress is produced in the shaft, Length of Shaft is the distance between two ends of shaft, 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 & 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 Radius of Shaft using Shear Stress induced at Surface of Shaft?

The Radius of Shaft using Shear Stress induced at Surface of Shaft formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface is calculated using Radius of Shaft = (Shear Stress in Shaft*Length of Shaft)/(Modulus of Rigidity*Angle of Twist SOM). To calculate Radius of Shaft using Shear Stress induced at Surface of Shaft, you need Shear Stress in Shaft (τ), Length of Shaft (L_shaft), Modulus of Rigidity (G_Torsion) & Angle of Twist SOM (θ_Torsion). With our tool, you need to enter the respective value for Shear Stress in Shaft, Length of Shaft, Modulus of Rigidity & 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 Radius of Shaft?

In this formula, Radius of Shaft uses Shear Stress in Shaft, Length of Shaft, Modulus of Rigidity & Angle of Twist SOM. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radius of Shaft = (Shear Strain*Length of Shaft)/Angle of Twist for Circular Shafts
Radius of Shaft = (Radius from Center to Distance r*Shear Stress in Shaft)/Shear Stress at Radius r
Radius of Shaft = (Shear Strain*Length of Shaft)/Angle of Twist for Circular Shafts

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