Length of Shaft with known Shear Stress induced at Radius r from Center of Shaft Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Shear Stress in Shaft
Lshaft = (R*GTorsion*θTorsion)/τ
This formula uses 5 Variables
Variables Used
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.
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.
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.
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
Shear Stress in Shaft: 180 Megapascal --> 180000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lshaft = (R*GTorsionTorsion)/τ --> (0.11*40000000000*0.187)/180000000
Evaluating ... ...
Lshaft = 4.57111111111111
STEP 3: Convert Result to Output's Unit
4.57111111111111 Meter --> No Conversion Required
FINAL ANSWER
4.57111111111111 4.571111 Meter <-- Length of Shaft
(Calculation completed in 00.004 seconds)

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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

Length of Shaft with known Shear Stress induced at Radius r from Center of Shaft Formula

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

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 Length of Shaft with known Shear Stress induced at Radius r from Center of Shaft?

Length of Shaft with known Shear Stress induced at Radius r from Center of Shaft calculator uses Length of Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Shear Stress in Shaft to calculate the Length of Shaft, The Length of Shaft with known Shear Stress induced at Radius r from Center of Shaft is the measurement or extent of something from end to end. Length of Shaft is denoted by Lshaft symbol.

How to calculate Length of Shaft with known Shear Stress induced at Radius r from Center of Shaft using this online calculator? To use this online calculator for Length of Shaft with known Shear Stress induced at Radius r from Center of Shaft, enter Radius of Shaft (R), Modulus of Rigidity (GTorsion), Angle of Twist SOM Torsion) & Shear Stress in Shaft (τ) and hit the calculate button. Here is how the Length of Shaft with known Shear Stress induced at Radius r from Center of Shaft calculation can be explained with given input values -> 4.571111 = (0.11*40000000000*0.187)/180000000.

FAQ

What is Length of Shaft with known Shear Stress induced at Radius r from Center of Shaft?
The Length of Shaft with known Shear Stress induced at Radius r from Center of Shaft is the measurement or extent of something from end to end and is represented as Lshaft = (R*GTorsionTorsion)/τ or Length of Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Shear Stress in 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 & Shear Stress in Shaft is when a shaft is subjected to torque or twisting shearing stress is produced in the shaft.
How to calculate Length of Shaft with known Shear Stress induced at Radius r from Center of Shaft?
The Length of Shaft with known Shear Stress induced at Radius r from Center of Shaft is the measurement or extent of something from end to end is calculated using Length of Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Shear Stress in Shaft. To calculate Length of Shaft with known Shear Stress induced at Radius r from Center of Shaft, you need Radius of Shaft (R), Modulus of Rigidity (GTorsion), Angle of Twist SOM Torsion) & Shear Stress in Shaft (τ). With our tool, you need to enter the respective value for Radius of Shaft, Modulus of Rigidity, Angle of Twist SOM & Shear Stress in 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 Length of Shaft?
In this formula, Length of Shaft uses Radius of Shaft, Modulus of Rigidity, Angle of Twist SOM & Shear Stress in Shaft. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Length of Shaft = (Radius of Shaft*Angle of Twist for Circular Shafts)/Shear Strain
  • Length of Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Shear Stress in Shaft
  • Length of Shaft = (Radius of Shaft*Angle of Twist for Circular Shafts)/Shear Strain
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