Shear Stress induced at Surface of Shaft Calculator

✖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%
✖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%
✖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 induced at Surface of Shaft [τ]

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Shear Stress induced at Surface of Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Radius of Shaft: 110 Millimeter --> 0.11 Meter (Check conversion here)
Modulus of Rigidity: 40 Gigapascal --> 40000000000 Pascal (Check conversion here)
Angle of Twist SOM: 0.187 Radian --> 0.187 Radian No Conversion Required
Length of Shaft: 4.58 Meter --> 4.58 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = (R*G_Torsion*θ_Torsion)/L_shaft --> (0.11*40000000000*0.187)/4.58

Evaluating ... ...

τ = 179650655.021834

STEP 3: Convert Result to Output's Unit

179650655.021834 Pascal -->179.650655021834 Megapascal (Check conversion here)

FINAL ANSWER

179.650655021834 ≈ 179.6507 Megapascal <-- Shear Stress in Shaft

(Calculation completed in 00.004 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

Shear Stress induced at Surface of Shaft Formula

LaTeX Go

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

What is Torsional Force?

A Torsion Force is a load that is applied to a 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 shear stress?

Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

How to Calculate Shear Stress induced at Surface of Shaft?

Shear Stress induced at Surface of Shaft calculator uses Shear Stress in Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Length of Shaft to calculate the Shear Stress in Shaft, The Shear Stress induced at Surface of Shaft formula is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Shear Stress in Shaft is denoted by τ symbol.

How to calculate Shear Stress induced at Surface of Shaft using this online calculator? To use this online calculator for Shear Stress induced at Surface of Shaft, enter Radius of Shaft (R), Modulus of Rigidity (G_Torsion), Angle of Twist SOM (θ_Torsion) & Length of Shaft (L_shaft) and hit the calculate button. Here is how the Shear Stress induced at Surface of Shaft calculation can be explained with given input values -> 0.00018 = (0.11*40000000000*0.187)/4.58.

FAQ

What is Shear Stress induced at Surface of Shaft?

The Shear Stress induced at Surface of Shaft formula is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress and is represented as τ = (R*G_Torsion*θ_Torsion)/L_shaft or Shear Stress in Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Length of Shaft. The Radius of Shaft is the line segment extending from the center of a circle or sphere to the circumference or bounding surface, 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 & Length of Shaft is the distance between two ends of shaft.

How to calculate Shear Stress induced at Surface of Shaft?

The Shear Stress induced at Surface of Shaft formula is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress is calculated using Shear Stress in Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Length of Shaft. To calculate Shear Stress induced at Surface of Shaft, you need Radius of Shaft (R), Modulus of Rigidity (G_Torsion), Angle of Twist SOM (θ_Torsion) & Length of Shaft (L_shaft). With our tool, you need to enter the respective value for Radius of Shaft, Modulus of Rigidity, Angle of Twist SOM & Length of Shaft 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 Shear Stress in Shaft?

In this formula, Shear Stress in Shaft uses Radius of Shaft, Modulus of Rigidity, Angle of Twist SOM & Length of Shaft. We can use 2 other way(s) to calculate the same, which is/are as follows -

Shear Stress in Shaft = (Shear Stress at Radius r*Radius from Center to Distance r)/Radius of Shaft
Shear Stress in Shaft = (Shear Stress at Radius r*Radius from Center to Distance r)/Radius of Shaft

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