Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Shaft = (Radius from Center to Distance r*Shear Stress in Shaft)/Shear Stress at Radius r
R = (r*τ)/Tr
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.
Radius from Center to Distance r - (Measured in Meter) - The Radius from Center to Distance r of the shaft is a radial line from the focus to any point of a curve.
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.
Shear Stress at Radius r - (Measured in Pascal) - Shear Stress at Radius r from shaft is a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
STEP 1: Convert Input(s) to Base Unit
Radius from Center to Distance r: 0.122 Meter --> 0.122 Meter No Conversion Required
Shear Stress in Shaft: 180 Megapascal --> 180000000 Pascal (Check conversion ​here)
Shear Stress at Radius r: 200 Megapascal --> 200000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = (r*τ)/Tr --> (0.122*180000000)/200000000
Evaluating ... ...
R = 0.1098
STEP 3: Convert Result to Output's Unit
0.1098 Meter -->109.8 Millimeter (Check conversion ​here)
FINAL ANSWER
109.8 Millimeter <-- Radius of Shaft
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verifier Image
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

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 if Shear Stress induced at Radius r from Center of Shaft Formula

​LaTeX ​Go
Radius of Shaft = (Radius from Center to Distance r*Shear Stress in Shaft)/Shear Stress at Radius r
R = (r*τ)/Tr

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 if Shear Stress induced at Radius r from Center of Shaft?

Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft calculator uses Radius of Shaft = (Radius from Center to Distance r*Shear Stress in Shaft)/Shear Stress at Radius r to calculate the Radius of Shaft, The Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft is 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 if Shear Stress induced at Radius r from Center of Shaft using this online calculator? To use this online calculator for Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft, enter Radius from Center to Distance r (r), Shear Stress in Shaft (τ) & Shear Stress at Radius r (Tr) and hit the calculate button. Here is how the Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft calculation can be explained with given input values -> 0.1098 = (0.122*180000000)/200000000.

FAQ

What is Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft?
The Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft is a line segment extending from the center of a circle or sphere to the circumference or bounding surface and is represented as R = (r*τ)/Tr or Radius of Shaft = (Radius from Center to Distance r*Shear Stress in Shaft)/Shear Stress at Radius r. The Radius from Center to Distance r of the shaft is a radial line from the focus to any point of a curve, Shear Stress in Shaft is when a shaft is subjected to torque or twisting shearing stress is produced in the shaft & Shear Stress at Radius r from shaft is a 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 if Shear Stress induced at Radius r from Center of Shaft?
The Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft is a line segment extending from the center of a circle or sphere to the circumference or bounding surface is calculated using Radius of Shaft = (Radius from Center to Distance r*Shear Stress in Shaft)/Shear Stress at Radius r. To calculate Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft, you need Radius from Center to Distance r (r), Shear Stress in Shaft (τ) & Shear Stress at Radius r (Tr). With our tool, you need to enter the respective value for Radius from Center to Distance r, Shear Stress in Shaft & Shear Stress at Radius r 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 Radius from Center to Distance r, Shear Stress in Shaft & Shear Stress at Radius r. 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 = (Shear Stress in Shaft*Length of Shaft)/(Modulus of Rigidity*Angle of Twist SOM)
  • Radius of Shaft = (Shear Strain*Length of Shaft)/Angle of Twist for Circular Shafts
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!