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Shear Stress induced at Surface of Shaft Calculator

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✖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]
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✖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 [GTorsion]
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-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 [θTorsion]
+10%
-10%
✖Length of Shaft is the distance between two ends of shaft.ⓘ Length of Shaft [Lshaft]
+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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Formula
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Shear Stress induced at Surface of Shaft

Formula
`"τ" = ("R"*"G"_{"Torsion"}*"θ"_{"Torsion"})/"L"_{"shaft"}`

Example
`"179.6507MPa"=("110mm"*"40GPa"*"0.187rad")/"4.58m"`

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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*GTorsion*θTorsion)/Lshaft
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*GTorsion*θTorsion)/Lshaft --> (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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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Deviation of Shear Stress produced in a Circular Shaft subjected to Torsion » Shear Stress induced at Surface of Shaft

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

Shear Stress induced at Radius 'r' from Center of Shaft using Modulus of Rigidity
​ Go Shear Stress at Radius r = (Radius from Center to Distance r*Modulus of Rigidity*Angle of Twist for Circular Shafts)/Shear Stress in Shaft
Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft
​ Go Modulus of Rigidity = (Shear Stress in Shaft*Length of Shaft)/(Radius of Shaft*Angle of Twist SOM)
Modulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft
​ Go Modulus of Rigidity = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Angle of Twist SOM)
Angle of Twist with known Shear Stress induced at Radius r from Center of Shaft
​ Go Angle of Twist SOM = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Modulus of Rigidity)
Radius of Shaft using Shear Stress induced at Surface of Shaft
​ Go Radius of Shaft = (Shear Stress in Shaft*Length of Shaft)/(Modulus of Rigidity*Angle of Twist SOM)
Angle of Twist with known Shear Stress in Shaft
​ Go Angle of Twist SOM = (Shear Stress in Shaft*Length of Shaft)/(Radius of Shaft*Modulus of Rigidity)
Length of Shaft with known Shear Stress induced at Radius r from Center of Shaft
​ Go Length of Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Shear Stress in Shaft
Length of Shaft with known Shear Stress induced at Surface of Shaft
​ Go Length of Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Shear Stress in Shaft
Shear Stress induced at Surface of Shaft
​ Go Shear Stress in Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Length of Shaft
Shear Stress at Surface of Shaft using Shear Stress-induced at Radius 'r' from Center of Shaft
​ Go Shear Stress at Radius r = (Shear Stress in Shaft*Radius from Center to Distance r)/Radius of Shaft
Value of Radius r using Shear Stress induced at Radius r from Center of Shaft
​ Go Radius from Center to Distance r = (Shear Stress at Radius r*Radius of Shaft)/Shear Stress in Shaft
Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft
​ Go Radius of Shaft = (Radius from Center to Distance r*Shear Stress in Shaft)/Shear Stress at Radius r
Shear Stress induced at Radius 'r' from Center of Shaft
​ Go Shear Stress in Shaft = (Shear Stress at Radius r*Radius from Center to Distance r)/Radius of Shaft
Length of Shaft with known Shear Strain at Outer Surface of Shaft
​ 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
​ 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
​ Go Radius of Shaft = (Shear Strain*Length of Shaft)/Angle of Twist for Circular Shafts
Shear Strain at Outer Surface of Circular Shaft
​ Go Shear Strain = (Radius of Shaft*Angle of Twist for Circular Shafts)/Length of Shaft

17 Torsion Equation of Circular Shafts Calculators

Shear Stress induced at Radius 'r' from Center of Shaft using Modulus of Rigidity
​ Go Shear Stress at Radius r = (Radius from Center to Distance r*Modulus of Rigidity*Angle of Twist for Circular Shafts)/Shear Stress in Shaft
Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft
​ Go Modulus of Rigidity = (Shear Stress in Shaft*Length of Shaft)/(Radius of Shaft*Angle of Twist SOM)
Modulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft
​ Go Modulus of Rigidity = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Angle of Twist SOM)
Angle of Twist with known Shear Stress induced at Radius r from Center of Shaft
​ Go Angle of Twist SOM = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Modulus of Rigidity)
Radius of Shaft using Shear Stress induced at Surface of Shaft
​ Go Radius of Shaft = (Shear Stress in Shaft*Length of Shaft)/(Modulus of Rigidity*Angle of Twist SOM)
Angle of Twist with known Shear Stress in Shaft
​ Go Angle of Twist SOM = (Shear Stress in Shaft*Length of Shaft)/(Radius of Shaft*Modulus of Rigidity)
Length of Shaft with known Shear Stress induced at Radius r from Center of Shaft
​ Go Length of Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Shear Stress in Shaft
Length of Shaft with known Shear Stress induced at Surface of Shaft
​ Go Length of Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Shear Stress in Shaft
Shear Stress induced at Surface of Shaft
​ Go Shear Stress in Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Length of Shaft
Shear Stress at Surface of Shaft using Shear Stress-induced at Radius 'r' from Center of Shaft
​ Go Shear Stress at Radius r = (Shear Stress in Shaft*Radius from Center to Distance r)/Radius of Shaft
Value of Radius r using Shear Stress induced at Radius r from Center of Shaft
​ Go Radius from Center to Distance r = (Shear Stress at Radius r*Radius of Shaft)/Shear Stress in Shaft
Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft
​ Go Radius of Shaft = (Radius from Center to Distance r*Shear Stress in Shaft)/Shear Stress at Radius r
Shear Stress induced at Radius 'r' from Center of Shaft
​ Go Shear Stress in Shaft = (Shear Stress at Radius r*Radius from Center to Distance r)/Radius of Shaft
Length of Shaft with known Shear Strain at Outer Surface of Shaft
​ 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
​ 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
​ Go Radius of Shaft = (Shear Strain*Length of Shaft)/Angle of Twist for Circular Shafts
Shear Strain at Outer Surface of Circular Shaft
​ Go Shear Strain = (Radius of Shaft*Angle of Twist for Circular Shafts)/Length of Shaft

Shear Stress induced at Surface of Shaft Formula

Shear Stress in Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Length of Shaft
τ = (R*GTorsion*θTorsion)/Lshaft

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 (GTorsion), Angle of Twist SOM (θTorsion) & Length of Shaft (Lshaft) 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*GTorsion*θTorsion)/Lshaft 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 (GTorsion), Angle of Twist SOM (θTorsion) & Length of Shaft (Lshaft). 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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