Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft Solution

STEP 0: Pre-Calculation Summary
Formula Used
Modulus of Rigidity = (Shear Stress in Shaft*Length of Shaft)/(Radius of Shaft*Angle of Twist SOM)
GTorsion = (τ*Lshaft)/(R*θTorsion)
This formula uses 5 Variables
Variables Used
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.
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.
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.
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
Radius of Shaft: 110 Millimeter --> 0.11 Meter (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
GTorsion = (τ*Lshaft)/(R*θTorsion) --> (180000000*4.58)/(0.11*0.187)
Evaluating ... ...
GTorsion = 40077783179.3875
STEP 3: Convert Result to Output's Unit
40077783179.3875 Pascal -->40.0777831793875 Gigapascal (Check conversion here)
FINAL ANSWER
40.0777831793875 40.07778 Gigapascal <-- Modulus of Rigidity
(Calculation completed in 00.004 seconds)

Credits

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

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

Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft Formula

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

What is Modulus of Rigidity?

The modulus of rigidity is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is. The table given below briefs everything you need to know about rigidity modulus. Shear modulus is the ratio of shear stress to shear strain in a body.

How to Calculate Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft?

Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft calculator uses Modulus of Rigidity = (Shear Stress in Shaft*Length of Shaft)/(Radius of Shaft*Angle of Twist SOM) to calculate the Modulus of Rigidity, Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. Modulus of Rigidity is denoted by GTorsion symbol.

How to calculate Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft using this online calculator? To use this online calculator for Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft, enter Shear Stress in Shaft (τ), Length of Shaft (Lshaft), Radius of Shaft (R) & Angle of Twist SOM Torsion) and hit the calculate button. Here is how the Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft calculation can be explained with given input values -> 4E-8 = (180000000*4.58)/(0.11*0.187).

FAQ

What is Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft?
Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain and is represented as GTorsion = (τ*Lshaft)/(R*θTorsion) or Modulus of Rigidity = (Shear Stress in Shaft*Length of Shaft)/(Radius of Shaft*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, The Radius of Shaft is the line segment extending from the center of a circle or sphere to the circumference or bounding surface & 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 Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft?
Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain is calculated using Modulus of Rigidity = (Shear Stress in Shaft*Length of Shaft)/(Radius of Shaft*Angle of Twist SOM). To calculate Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft, you need Shear Stress in Shaft (τ), Length of Shaft (Lshaft), Radius of Shaft (R) & Angle of Twist SOM Torsion). With our tool, you need to enter the respective value for Shear Stress in Shaft, Length of Shaft, Radius of Shaft & 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 Modulus of Rigidity?
In this formula, Modulus of Rigidity uses Shear Stress in Shaft, Length of Shaft, Radius of Shaft & Angle of Twist SOM. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Modulus of Rigidity = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Angle of Twist SOM)
  • Modulus of Rigidity = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Angle of Twist SOM)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!