Radius of Shaft using Shear Strain at Outer Surface of Shaft Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Shaft = (Shear Strain*Length of Shaft)/Angle of Twist for Circular Shafts
R = (𝜂*Lshaft)/θCircularshafts
This formula uses 4 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 Strain - The Shear Strain is the ratio of the change in deformation to its original length perpendicular to the axes of the member due to shear stress.
Length of Shaft - (Measured in Meter) - Length of Shaft is the distance between two ends of shaft.
Angle of Twist for Circular Shafts - (Measured in Radian) - Angle of Twist for Circular Shafts is the angular deformation along the length of a circular shaft subjected to torsion, measured in radians.
STEP 1: Convert Input(s) to Base Unit
Shear Strain: 1.75 --> No Conversion Required
Length of Shaft: 4.58 Meter --> 4.58 Meter No Conversion Required
Angle of Twist for Circular Shafts: 72 Radian --> 72 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = (𝜂*Lshaft)/θCircularshafts --> (1.75*4.58)/72
Evaluating ... ...
R = 0.111319444444444
STEP 3: Convert Result to Output's Unit
0.111319444444444 Meter -->111.319444444444 Millimeter (Check conversion here)
FINAL ANSWER
111.319444444444 111.3194 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 Strain at Outer Surface of Shaft Formula

Radius of Shaft = (Shear Strain*Length of Shaft)/Angle of Twist for Circular Shafts
R = (𝜂*Lshaft)/θCircularshafts

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 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 Radius of Shaft using Shear Strain at Outer Surface of Shaft?

Radius of Shaft using Shear Strain at Outer Surface of Shaft calculator uses Radius of Shaft = (Shear Strain*Length of Shaft)/Angle of Twist for Circular Shafts to calculate the Radius of Shaft, The Radius of Shaft using Shear Strain at Outer 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 Strain at Outer Surface of Shaft using this online calculator? To use this online calculator for Radius of Shaft using Shear Strain at Outer Surface of Shaft, enter Shear Strain (𝜂), Length of Shaft (Lshaft) & Angle of Twist for Circular Shafts Circularshafts) and hit the calculate button. Here is how the Radius of Shaft using Shear Strain at Outer Surface of Shaft calculation can be explained with given input values -> 0.111319 = (1.75*4.58)/72.

FAQ

What is Radius of Shaft using Shear Strain at Outer Surface of Shaft?
The Radius of Shaft using Shear Strain at Outer 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 = (𝜂*Lshaft)/θCircularshafts or Radius of Shaft = (Shear Strain*Length of Shaft)/Angle of Twist for Circular Shafts. The Shear Strain is the ratio of the change in deformation to its original length perpendicular to the axes of the member due to shear stress, Length of Shaft is the distance between two ends of shaft & Angle of Twist for Circular Shafts is the angular deformation along the length of a circular shaft subjected to torsion, measured in radians.
How to calculate Radius of Shaft using Shear Strain at Outer Surface of Shaft?
The Radius of Shaft using Shear Strain at Outer 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 Strain*Length of Shaft)/Angle of Twist for Circular Shafts. To calculate Radius of Shaft using Shear Strain at Outer Surface of Shaft, you need Shear Strain (𝜂), Length of Shaft (Lshaft) & Angle of Twist for Circular Shafts Circularshafts). With our tool, you need to enter the respective value for Shear Strain, Length of Shaft & Angle of Twist for Circular Shafts 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 Strain, Length of Shaft & Angle of Twist for Circular Shafts. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Radius of Shaft = (Shear Stress in Shaft*Length of Shaft)/(Modulus of Rigidity*Angle of Twist SOM)
  • Radius of Shaft = (Radius from Center to Distance r*Shear Stress in Shaft)/Shear Stress at Radius r
  • Radius of Shaft = (Radius from Center to Distance r*Shear Stress in Shaft)/Shear Stress at Radius r
  • Radius of Shaft = (Shear Stress in Shaft*Length of Shaft)/(Modulus of Rigidity*Angle of Twist SOM)
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