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

✖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 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%
✖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%

✖Shear Stress in Shaft is when a shaft is subjected to torque or twisting shearing stress is produced in the shaft.ⓘ Shear Stress induced at Radius 'r' from Center of Shaft [τ]

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Shear Stress induced at Radius 'r' from Center of Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress in Shaft = (Shear Stress at Radius r*Radius from Center to Distance r)/Radius of Shaft
τ = (T_r*r)/R
This formula uses 4 Variables

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Shear Stress at Radius r: 200 Megapascal --> 200000000 Pascal (Check conversion here)
Radius from Center to Distance r: 0.122 Meter --> 0.122 Meter No Conversion Required
Radius of Shaft: 110 Millimeter --> 0.11 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = (T_r*r)/R --> (200000000*0.122)/0.11

Evaluating ... ...

τ = 221818181.818182

STEP 3: Convert Result to Output's Unit

221818181.818182 Pascal -->221.818181818182 Megapascal (Check conversion here)

FINAL ANSWER

221.818181818182 ≈ 221.8182 Megapascal <-- Shear Stress in Shaft

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

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

Shear Stress induced at Radius 'r' from Center of Shaft Formula

LaTeX Go

Shear Stress in Shaft = (Shear Stress at Radius r*Radius from Center to Distance r)/Radius of Shaft
τ = (T_r*r)/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 Shear Stress induced at Radius 'r' from Center of Shaft?

Shear Stress induced at Radius 'r' from Center of Shaft calculator uses Shear Stress in Shaft = (Shear Stress at Radius r*Radius from Center to Distance r)/Radius of Shaft to calculate the Shear Stress in Shaft, The Shear Stress induced at Radius 'r' from Center of Shaft formula is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Shear Stress in Shaft is denoted by τ symbol.

How to calculate Shear Stress induced at Radius 'r' from Center of Shaft using this online calculator? To use this online calculator for Shear Stress induced at Radius 'r' from Center of Shaft, enter Shear Stress at Radius r (T_r), Radius from Center to Distance r (r) & Radius of Shaft (R) and hit the calculate button. Here is how the Shear Stress induced at Radius 'r' from Center of Shaft calculation can be explained with given input values -> 0.000222 = (200000000*0.122)/0.11.

FAQ

What is Shear Stress induced at Radius 'r' from Center of Shaft?

The Shear Stress induced at Radius 'r' from Center of Shaft formula is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress and is represented as τ = (T_r*r)/R or Shear Stress in Shaft = (Shear Stress at Radius r*Radius from Center to Distance r)/Radius of 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, The Radius from Center to Distance r of the shaft is a radial line from the focus to any point of a curve & The Radius of Shaft is the line segment extending from the center of a circle or sphere to the circumference or bounding surface.

How to calculate Shear Stress induced at Radius 'r' from Center of Shaft?

The Shear Stress induced at Radius 'r' from Center of Shaft formula is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress is calculated using Shear Stress in Shaft = (Shear Stress at Radius r*Radius from Center to Distance r)/Radius of Shaft. To calculate Shear Stress induced at Radius 'r' from Center of Shaft, you need Shear Stress at Radius r (T_r), Radius from Center to Distance r (r) & Radius of Shaft (R). With our tool, you need to enter the respective value for Shear Stress at Radius r, Radius from Center to Distance r & Radius of 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 Shear Stress in Shaft?

In this formula, Shear Stress in Shaft uses Shear Stress at Radius r, Radius from Center to Distance r & Radius of Shaft. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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