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

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

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

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Twist SOM = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Modulus of Rigidity)
θ_Torsion = (L_shaft*τ)/(R*G_Torsion)
This formula uses 5 Variables

Variables Used

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.
Length of Shaft - (Measured in Meter) - Length of Shaft is the distance between two ends of shaft.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Length of Shaft: 4.58 Meter --> 4.58 Meter No Conversion Required
Shear Stress in Shaft: 180 Megapascal --> 180000000 Pascal (Check conversion here)
Radius of Shaft: 110 Millimeter --> 0.11 Meter (Check conversion here)
Modulus of Rigidity: 40 Gigapascal --> 40000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_Torsion = (L_shaft*τ)/(R*G_Torsion) --> (4.58*180000000)/(0.11*40000000000)

Evaluating ... ...

θ_Torsion = 0.187363636363636

STEP 3: Convert Result to Output's Unit

0.187363636363636 Radian --> No Conversion Required

FINAL ANSWER

0.187363636363636 ≈ 0.187364 Radian <-- Angle of Twist SOM

(Calculation completed in 00.030 seconds)

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National Institute Of Technology (NIT), Hamirpur

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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

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

LaTeX Go

Angle of Twist SOM = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Modulus of Rigidity)
θ_Torsion = (L_shaft*τ)/(R*G_Torsion)

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

Angle of Twist with known Shear Stress induced at Radius r from Center of Shaft calculator uses Angle of Twist SOM = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Modulus of Rigidity) to calculate the Angle of Twist SOM, The Angle of Twist with known Shear Stress induced at Radius r from Center of Shaft formula is defined as the angle through which the fixed end of a shaft rotates concerning the free end twist. Angle of Twist SOM is denoted by θ_Torsion symbol.

How to calculate Angle of Twist with known Shear Stress induced at Radius r from Center of Shaft using this online calculator? To use this online calculator for Angle of Twist with known Shear Stress induced at Radius r from Center of Shaft, enter Length of Shaft (L_shaft), Shear Stress in Shaft (τ), Radius of Shaft (R) & Modulus of Rigidity (G_Torsion) and hit the calculate button. Here is how the Angle of Twist with known Shear Stress induced at Radius r from Center of Shaft calculation can be explained with given input values -> 0.187364 = (4.58*180000000)/(0.11*40000000000).

FAQ

What is Angle of Twist with known Shear Stress induced at Radius r from Center of Shaft?

The Angle of Twist with known Shear Stress induced at Radius r from Center of Shaft formula is defined as the angle through which the fixed end of a shaft rotates concerning the free end twist and is represented as θ_Torsion = (L_shaft*τ)/(R*G_Torsion) or Angle of Twist SOM = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Modulus of Rigidity). Length of Shaft is the distance between two ends of shaft, Shear Stress in Shaft is when a shaft is subjected to torque or twisting shearing stress is produced in the 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.

How to calculate Angle of Twist with known Shear Stress induced at Radius r from Center of Shaft?

The Angle of Twist with known Shear Stress induced at Radius r from Center of Shaft formula is defined as the angle through which the fixed end of a shaft rotates concerning the free end twist is calculated using Angle of Twist SOM = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Modulus of Rigidity). To calculate Angle of Twist with known Shear Stress induced at Radius r from Center of Shaft, you need Length of Shaft (L_shaft), Shear Stress in Shaft (τ), Radius of Shaft (R) & Modulus of Rigidity (G_Torsion). With our tool, you need to enter the respective value for Length of Shaft, Shear Stress in Shaft, Radius of Shaft & Modulus of Rigidity 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 Angle of Twist SOM?

In this formula, Angle of Twist SOM uses Length of Shaft, Shear Stress in Shaft, Radius of Shaft & Modulus of Rigidity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Angle of Twist SOM = (Shear Stress in Shaft*Length of Shaft)/(Radius of Shaft*Modulus of Rigidity)
Angle of Twist SOM = (Shear Stress in Shaft*Length of Shaft)/(Radius of Shaft*Modulus of Rigidity)

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