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Stresses Due to Torsion Formula

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Torque is a measure of the force that can cause an object to rotate about an axis. Check FAQs

T = 𝜏 max \cdot Z p

T - Torque?𝜏_max - Maximum shear stress?Z_p - Polar modulus?

Stresses Due to Torsion Example

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Here is how the Stresses Due to Torsion equation looks like with Values.

Here is how the Stresses Due to Torsion equation looks like with Units.

Here is how the Stresses Due to Torsion equation looks like.

270 = 0.03 \cdot 9

270N*mm = 0.03N/mm² \cdot 9m³

270 = 0.03 \cdot 9

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Stresses Due to Torsion Solution

Follow our step by step solution on how to calculate Stresses Due to Torsion?

FIRST Step Consider the formula

T = 𝜏 max \cdot Z p

Next Step Substitute values of Variables

∴

T = 0.03N/mm² \cdot 9m³

Next Step Prepare to Evaluate

∴

T = 0.03 \cdot 9

Next Step Evaluate

∴

T = 0.27N*m

LAST Step Convert to Output's Unit

∴

T = 270N*mm

Stresses Due to Torsion Formula Elements

Variables

Torque

Torque is a measure of the force that can cause an object to rotate about an axis.

Symbol: T

Measurement: Moment of ForceUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torque

Maximum shear stress

Maximum shear stress that acts coplanar with cross section of material, arises due to shear forces.

Symbol: 𝜏_max

Measurement: StressUnit: N/mm²

Note: Value can be positive or negative.

Formulas to find Maximum shear stress

Polar modulus

Polar modulus is defined as the ratio of the polar moment of inertia to the radius of the shaft.

Symbol: Z_p

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Polar modulus

Other formulas in Fundamental Stress Analysis category

Go Compressive Stress using External Applied Load

f appliedload = \frac{W}{A}

Go Shear Stress using External Applied Load

f s = \frac{W}{A}

Go Tensile Stress using External Applied Load

f t = \frac{W}{A}

Go Bending Moment due to Stresses

M = \frac{B \cdot I}{y}

How to Evaluate Stresses Due to Torsion?

Stresses Due to Torsion evaluator uses Torque = Maximum shear stress*Polar modulus to evaluate 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 evaluate Stresses Due to Torsion using this online evaluator? To use this online evaluator for Stresses Due to Torsion, enter Maximum shear stress (𝜏_max) & Polar modulus (Z_p) and hit the calculate button.

FAQs on Stresses Due to Torsion

What is the formula to find Stresses Due to Torsion?

The formula of Stresses Due to Torsion is expressed as Torque = Maximum shear stress*Polar modulus. Here is an example- 270000 = 30000*9.

How to calculate Stresses Due to Torsion?

With Maximum shear stress (𝜏_max) & Polar modulus (Z_p) we can find Stresses Due to Torsion using the formula - Torque = Maximum shear stress*Polar modulus.

Can the Stresses Due to Torsion be negative?

No, the Stresses Due to Torsion, measured in Moment of Force cannot be negative.

Which unit is used to measure Stresses Due to Torsion?

Stresses Due to Torsion is usually measured using the Newton Millimeter[N*mm] for Moment of Force. Newton Meter[N*mm], Kilonewton Meter[N*mm], Millinewton Meter[N*mm] are the few other units in which Stresses Due to Torsion can be measured.

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