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

✖The Radius of Shaft is the line segment extending from the center of a circle or sphere to the circumference or bounding surface.ⓘ Radius of Shaft [R]			+10% -10%
✖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.ⓘ Modulus of Rigidity [G_Torsion]			+10% -10%
✖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.ⓘ Angle of Twist SOM [θ_Torsion]			+10% -10%
✖Shear Stress in Shaft is when a shaft is subjected to torque or twisting shearing stress is produced in the shaft.ⓘ Shear Stress in Shaft [τ]			+10% -10%

✖Length of Shaft is the distance between two ends of shaft.ⓘ Length of Shaft with known Shear Stress induced at Radius r from Center of Shaft [L_shaft]

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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
L_shaft = (R*G_Torsion*θ_Torsion)/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

L_shaft = (R*G_Torsion*θ_Torsion)/τ --> (0.11*40000000000*0.187)/180000000

Evaluating ... ...

L_shaft = 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 00.020 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
L_shaft = (R*G_Torsion*θ_Torsion)/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 L_shaft 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 (G_Torsion), Angle of Twist SOM (θ_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 L_shaft = (R*G_Torsion*θ_Torsion)/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 (G_Torsion), Angle of Twist SOM (θ_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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