Twisting Moment given Maximum Permissible Shear Stress Calculator

✖Polar Moment of Inertia is the moment of inertia of a cross-section with respect to its polar axis, which is an axis at right angles to the plane of the cross-section.ⓘ Polar Moment of Inertia [J]			+10% -10%
✖Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.ⓘ Maximum Shear Stress [τ_max]			+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%

✖Torque is a measure of the force that can cause an object to rotate about an axis.ⓘ Twisting Moment given Maximum Permissible Shear Stress [T]

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Twisting Moment given Maximum Permissible Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque = (Polar Moment of Inertia*Maximum Shear Stress)/Radius of Shaft
T = (J*τ_max)/R
This formula uses 4 Variables

Variables Used

Torque - (Measured in Newton Meter) - Torque is a measure of the force that can cause an object to rotate about an axis.
Polar Moment of Inertia - (Measured in Meter⁴) - Polar Moment of Inertia is the moment of inertia of a cross-section with respect to its polar axis, which is an axis at right angles to the plane of the cross-section.
Maximum Shear Stress - (Measured in Pascal) - Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.
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

Polar Moment of Inertia: 0.0041 Meter⁴ --> 0.0041 Meter⁴ No Conversion Required
Maximum Shear Stress: 42 Megapascal --> 42000000 Pascal (Check conversion here)
Radius of Shaft: 110 Millimeter --> 0.11 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (J*τ_max)/R --> (0.0041*42000000)/0.11

Evaluating ... ...

T = 1565454.54545455

STEP 3: Convert Result to Output's Unit

1565454.54545455 Newton Meter -->1565.45454545455 Kilonewton Meter (Check conversion here)

FINAL ANSWER

1565.45454545455 ≈ 1565.455 Kilonewton Meter <-- Torque

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Torsion Calculators

Maximum permissible shear stress for given Radius and modulus of rigidity

LaTeX Go Maximum Shear Stress = (Modulus of Rigidity*(Angle of Twist)*Radius of Shaft)/Length of Shaft

Twisting Moment given Maximum Permissible Shear Stress

LaTeX Go Torque = (Polar Moment of Inertia*Maximum Shear Stress)/Radius of Shaft

Radius with known Maximum permissible shear stress

LaTeX Go Radius of Shaft = Maximum Shear Stress*Polar Moment of Inertia/Torque

Maximum permissible shear stress

LaTeX Go Maximum Shear Stress = Torque*Radius of Shaft/Polar Moment of Inertia

Twisting Moment given Maximum Permissible Shear Stress Formula

LaTeX Go

Torque = (Polar Moment of Inertia*Maximum Shear Stress)/Radius of Shaft
T = (J*τ_max)/R

What is Torsion?

n the field of solid mechanics, torsion is the twisting of an object due to an applied torque. Torsion is expressed in either the Pascal, an SI unit for newtons per square metre, or in pounds per square inch while torque is expressed in newton metres or foot-pound force.

How to Calculate Twisting Moment given Maximum Permissible Shear Stress?

Twisting Moment given Maximum Permissible Shear Stress calculator uses Torque = (Polar Moment of Inertia*Maximum Shear Stress)/Radius of Shaft to calculate the Torque, The Twisting Moment given Maximum Permissible Shear Stress is defined as the moment given to the shaft to twist it. Torque is denoted by T symbol.

How to calculate Twisting Moment given Maximum Permissible Shear Stress using this online calculator? To use this online calculator for Twisting Moment given Maximum Permissible Shear Stress, enter Polar Moment of Inertia (J), Maximum Shear Stress (τ_max) & Radius of Shaft (R) and hit the calculate button. Here is how the Twisting Moment given Maximum Permissible Shear Stress calculation can be explained with given input values -> 1.565455 = (0.0041*42000000)/0.11.

FAQ

What is Twisting Moment given Maximum Permissible Shear Stress?

The Twisting Moment given Maximum Permissible Shear Stress is defined as the moment given to the shaft to twist it and is represented as T = (J*τ_max)/R or Torque = (Polar Moment of Inertia*Maximum Shear Stress)/Radius of Shaft. Polar Moment of Inertia is the moment of inertia of a cross-section with respect to its polar axis, which is an axis at right angles to the plane of the cross-section, Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area & 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 Twisting Moment given Maximum Permissible Shear Stress?

The Twisting Moment given Maximum Permissible Shear Stress is defined as the moment given to the shaft to twist it is calculated using Torque = (Polar Moment of Inertia*Maximum Shear Stress)/Radius of Shaft. To calculate Twisting Moment given Maximum Permissible Shear Stress, you need Polar Moment of Inertia (J), Maximum Shear Stress (τ_max) & Radius of Shaft (R). With our tool, you need to enter the respective value for Polar Moment of Inertia, Maximum Shear Stress & 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 Torque?

In this formula, Torque uses Polar Moment of Inertia, Maximum Shear Stress & Radius of Shaft. We can use 1 other way(s) to calculate the same, which is/are as follows -

Torque = (Modulus of Rigidity*Angle of Twist*Polar Moment of Inertia)/Length of Shaft

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