Stresses Due to Torsion Calculator

✖Maximum shear stress that acts coplanar with cross section of material, arises due to shear forces.ⓘ Maximum shear stress [𝜏_max]			+10% -10%
✖Polar modulus is defined as the ratio of the polar moment of inertia to the radius of the shaft.ⓘ Polar modulus [Z_p]			+10% -10%

✖Torque is a measure of the force that can cause an object to rotate about an axis.ⓘ Stresses Due to Torsion [T]

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Formula

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Stresses Due to Torsion

Formula

`"T" = "𝜏"_{"max"}*"Z"_{"p"}`

Example

`"270N*mm"="0.03N/mm²"*"9m³"`

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Stresses Due to Torsion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque = Maximum shear stress*Polar modulus
T = 𝜏_max*Z_p
This formula uses 3 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.
Maximum shear stress - (Measured in Newton per Square Millimeter) - Maximum shear stress that acts coplanar with cross section of material, arises due to shear forces.
Polar modulus - (Measured in Cubic Meter) - Polar modulus is defined as the ratio of the polar moment of inertia to the radius of the shaft.

STEP 1: Convert Input(s) to Base Unit

Maximum shear stress: 0.03 Newton per Square Millimeter --> 0.03 Newton per Square Millimeter No Conversion Required
Polar modulus: 9 Cubic Meter --> 9 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = 𝜏_max*Z_p --> 0.03*9

Evaluating ... ...

T = 0.27

STEP 3: Convert Result to Output's Unit

0.27 Newton Meter -->270 Newton Millimeter (Check conversion here)

FINAL ANSWER

270 Newton Millimeter <-- Torque

(Calculation completed in 00.004 seconds)

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< 6 Fundamental Stress Analysis Calculators

Thermal Stresses

Go Thermal Stresses = Modulus of Elasticity Jacketed Reaction Vessel*Coefficient of Thermal Expansion*Increase in Temperature

Bending Moment due to Stresses

Go Applied Bending Moment = (Tensile Bending Stress*Moment of Inertia)/(Distance)

Shear Stress using External Applied Load

Go Shear Stress in Bolt = (External Applied Load)/(Cross Sectional Area)

Compressive Stress using External Applied Load

Go Compressive Stress = (External Applied Load)/(Cross Sectional Area)

Tensile Stress using External Applied Load

Go Tensile Stress = (External Applied Load)/(Cross Sectional Area)

Stresses Due to Torsion

Go Torque = Maximum shear stress*Polar modulus

Stresses Due to Torsion Formula

Torque = Maximum shear stress*Polar modulus
T = 𝜏_max*Z_p

What is Torsion?

Torsion refers to the twisting of a structural member that is loaded by couples (torque) that produce rotation about the member's longitudinal axis.

How to Calculate Stresses Due to Torsion?

Stresses Due to Torsion calculator uses Torque = Maximum shear stress*Polar modulus to calculate the Torque, The Stresses Due to Torsion formula is defined as product of maximum shear stress and modulus of section. Torque is denoted by T symbol.

How to calculate Stresses Due to Torsion using this online calculator? To use this online calculator for Stresses Due to Torsion, enter Maximum shear stress (𝜏_max) & Polar modulus (Z_p) and hit the calculate button. Here is how the Stresses Due to Torsion calculation can be explained with given input values -> 270000 = 30000*9.

FAQ

What is Stresses Due to Torsion?

The Stresses Due to Torsion formula is defined as product of maximum shear stress and modulus of section and is represented as T = 𝜏_max*Z_p or Torque = Maximum shear stress*Polar modulus. Maximum shear stress that acts coplanar with cross section of material, arises due to shear forces & Polar modulus is defined as the ratio of the polar moment of inertia to the radius of the shaft.

How to calculate Stresses Due to Torsion?

The Stresses Due to Torsion formula is defined as product of maximum shear stress and modulus of section is calculated using Torque = Maximum shear stress*Polar modulus. To calculate Stresses Due to Torsion, you need Maximum shear stress (𝜏_max) & Polar modulus (Z_p). With our tool, you need to enter the respective value for Maximum shear stress & Polar modulus 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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