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*Lshaft)/(GTorsion*θTorsion)
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*Lshaft)/(GTorsionTorsion) --> (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 00.004 seconds)

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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

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

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

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 (Lshaft), Modulus of Rigidity (GTorsion) & Angle of Twist SOM 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*Lshaft)/(GTorsionTorsion) 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 (Lshaft), Modulus of Rigidity (GTorsion) & Angle of Twist SOM 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 4 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
  • Radius of Shaft = (Radius from Center to Distance r*Shear Stress in Shaft)/Shear Stress at Radius r
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