Torsional shear stress in shaft due to torsional moment Calculator

✖Torsional moment on shaft is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force.ⓘ Torsional moment on shaft [τ]			+10% -10%
✖Radial Distance from Axis of Rotation is taken as the distance between the projections onto the two planes.ⓘ Radial Distance from Axis of Rotation [r]			+10% -10%
✖Polar moment of inertia for circular section is the measure of the specimen's resistance to torsion.ⓘ Polar moment of inertia for circular section [J]			+10% -10%

✖Torsional shear stress in twisted shaft or Torsional stress is the shear stress produced in the shaft due to the twisting.ⓘ Torsional shear stress in shaft due to torsional moment [𝜏]

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Torsional shear stress in shaft due to torsional moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torsional shear stress in twisted shaft = Torsional moment on shaft*Radial Distance from Axis of Rotation/Polar moment of inertia for circular section
𝜏 = τ*r/J
This formula uses 4 Variables

Variables Used

Torsional shear stress in twisted shaft - (Measured in Pascal) - Torsional shear stress in twisted shaft or Torsional stress is the shear stress produced in the shaft due to the twisting.
Torsional moment on shaft - (Measured in Newton Meter) - Torsional moment on shaft is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force.
Radial Distance from Axis of Rotation - (Measured in Meter) - Radial Distance from Axis of Rotation is taken as the distance between the projections onto the two planes.
Polar moment of inertia for circular section - (Measured in Meter⁴) - Polar moment of inertia for circular section is the measure of the specimen's resistance to torsion.

STEP 1: Convert Input(s) to Base Unit

Torsional moment on shaft: 51000 Newton Millimeter --> 51 Newton Meter (Check conversion here)
Radial Distance from Axis of Rotation: 25 Millimeter --> 0.025 Meter (Check conversion here)
Polar moment of inertia for circular section: 38000 Millimeter⁴ --> 3.8E-08 Meter⁴ (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = τ*r/J --> 51*0.025/3.8E-08

Evaluating ... ...

𝜏 = 33552631.5789474

STEP 3: Convert Result to Output's Unit

33552631.5789474 Pascal -->33.5526315789474 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

33.5526315789474 ≈ 33.55263 Newton per Square Millimeter <-- Torsional shear stress in twisted shaft

(Calculation completed in 00.004 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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< Design of Shaft for Torsional Moment Calculators

Angle of twist of shaft in radians given torque, length of shaft, polar moment of inertia

LaTeX Go Angle of twist of shaft = (Torsional moment on shaft*Length of Shaft)/(Polar moment of inertia for circular section*Modulus of Rigidity)

Torsional shear stress in shaft due to torsional moment

LaTeX Go Torsional shear stress in twisted shaft = Torsional moment on shaft*Radial Distance from Axis of Rotation/Polar moment of inertia for circular section

Polar moment of inertia of hollow circular cross-section

LaTeX Go Polar moment of inertia for circular section = pi*((Outer Diameter of Hollow Circular Section^4)-(Inner Diameter of Hollow Circular Section^4))/32

Polar moment of inertia of circular cross section

LaTeX Go Polar moment of inertia for circular section = pi*(Diameter of circular section of shaft^4)/32

Torsional shear stress in shaft due to torsional moment Formula

LaTeX Go

Torsional shear stress in twisted shaft = Torsional moment on shaft*Radial Distance from Axis of Rotation/Polar moment of inertia for circular section
𝜏 = τ*r/J

What is polar moment of inertia?

The polar moment of inertia, also known as second polar moment of area, is a quantity used to describe resistance to torsional deformation (deflection), in cylindrical objects (or segments of cylindrical object) with an invariant cross-section and no significant warping or out-of-plane deformation.

How to Calculate Torsional shear stress in shaft due to torsional moment?

Torsional shear stress in shaft due to torsional moment calculator uses Torsional shear stress in twisted shaft = Torsional moment on shaft*Radial Distance from Axis of Rotation/Polar moment of inertia for circular section to calculate the Torsional shear stress in twisted shaft, Torsional shear stress in shaft due to torsional moment formula is defined as the shear stress that acts on a transverse cross section which is caused by the action of a twist. Torsional shear stress can be thought of as the shear stress produced on a shaft due to twisting. Torsional shear stress in twisted shaft is denoted by 𝜏 symbol.

How to calculate Torsional shear stress in shaft due to torsional moment using this online calculator? To use this online calculator for Torsional shear stress in shaft due to torsional moment, enter Torsional moment on shaft (τ), Radial Distance from Axis of Rotation (r) & Polar moment of inertia for circular section (J) and hit the calculate button. Here is how the Torsional shear stress in shaft due to torsional moment calculation can be explained with given input values -> 3.4E-5 = 51*0.025/3.8E-08.

FAQ

What is Torsional shear stress in shaft due to torsional moment?

Torsional shear stress in shaft due to torsional moment formula is defined as the shear stress that acts on a transverse cross section which is caused by the action of a twist. Torsional shear stress can be thought of as the shear stress produced on a shaft due to twisting and is represented as 𝜏 = τ*r/J or Torsional shear stress in twisted shaft = Torsional moment on shaft*Radial Distance from Axis of Rotation/Polar moment of inertia for circular section. Torsional moment on shaft is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force, Radial Distance from Axis of Rotation is taken as the distance between the projections onto the two planes & Polar moment of inertia for circular section is the measure of the specimen's resistance to torsion.

How to calculate Torsional shear stress in shaft due to torsional moment?

Torsional shear stress in shaft due to torsional moment formula is defined as the shear stress that acts on a transverse cross section which is caused by the action of a twist. Torsional shear stress can be thought of as the shear stress produced on a shaft due to twisting is calculated using Torsional shear stress in twisted shaft = Torsional moment on shaft*Radial Distance from Axis of Rotation/Polar moment of inertia for circular section. To calculate Torsional shear stress in shaft due to torsional moment, you need Torsional moment on shaft (τ), Radial Distance from Axis of Rotation (r) & Polar moment of inertia for circular section (J). With our tool, you need to enter the respective value for Torsional moment on shaft, Radial Distance from Axis of Rotation & Polar moment of inertia for circular section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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