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

✖The Radius from Center to Distance r of the shaft is a radial line from the focus to any point of a curve.ⓘ Radius from Center to Distance r [r]			+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%
✖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.ⓘ Shear Stress at Radius r [T_r]			+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 if Shear Stress induced at Radius r from Center of Shaft [R]

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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)/T_r
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)/T_r --> (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 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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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

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)/T_r

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 (T_r) 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)/T_r 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 (T_r). 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

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