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Equivalent Torque given Maximum Shear Stress Formula

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Equivalent Torque is the torque which will produce the same maximum shear stress as produced by the bending moment and torque acting separately. Check FAQs

T e = \frac{τ max}{\frac{16}{π \cdot (Φ^{3})}}

T_e - Equivalent Torque?τ_max - Maximum Shear Stress?Φ - Diameter of Circular Shaft?π - Archimedes' constant?

Equivalent Torque given Maximum Shear Stress Example

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Here is how the Equivalent Torque given Maximum Shear Stress equation looks like with Values.

Here is how the Equivalent Torque given Maximum Shear Stress equation looks like with Units.

Here is how the Equivalent Torque given Maximum Shear Stress equation looks like.

3479.0684 = \frac{42}{\frac{16}{3.1416 \cdot (750^{3})}}

3479.0684kN*m = \frac{42MPa}{\frac{16}{3.1416 \cdot ({750mm}^{3})}}

3479.0684 = \frac{42}{\frac{16}{3.1416 \cdot (750^{3})}}

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Equivalent Torque given Maximum Shear Stress Solution

Follow our step by step solution on how to calculate Equivalent Torque given Maximum Shear Stress?

FIRST Step Consider the formula

T e = \frac{τ max}{\frac{16}{π \cdot (Φ^{3})}}

Next Step Substitute values of Variables

∴

T e = \frac{42MPa}{\frac{16}{π \cdot ({750mm}^{3})}}

Next Step Substitute values of Constants

∴

T e = \frac{42MPa}{\frac{16}{3.1416 \cdot ({750mm}^{3})}}

Next Step Convert Units

∴

T e = \frac{4.2E+7Pa}{\frac{16}{3.1416 \cdot ({0.75m}^{3})}}

Next Step Prepare to Evaluate

∴

T e = \frac{4.2E+7}{\frac{16}{3.1416 \cdot ({0.75}^{3})}}

Next Step Evaluate

∴

T e = 3479068.42692463N*m

Next Step Convert to Output's Unit

∴

T e = 3479.06842692463kN*m

LAST Step Rounding Answer

∴

T e = 3479.0684kN*m

Equivalent Torque given Maximum Shear Stress Formula Elements

Variables

Constants

Equivalent Torque

Equivalent Torque is the torque which will produce the same maximum shear stress as produced by the bending moment and torque acting separately.

Symbol: T_e

Measurement: TorqueUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Equivalent Torque

Maximum Shear Stress

Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.

Symbol: τ_max

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Shear Stress

Diameter of Circular Shaft

Diameter of circular shaft is denoted by d.

Symbol: Φ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Circular Shaft

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Equivalent Bending Moment and Torque category

Go Maximum Shear Stress due to Equivalent Torque

τ max = \frac{16 \cdot T e}{π \cdot (Φ^{3})}

Go Bending Stress of Circular Shaft given Equivalent Bending Moment

σ b = \frac{32 \cdot M e}{π \cdot (Φ^{3})}

Go Diameter of Circular Shaft given Equivalent Bending Stress

Φ = {(\frac{32 \cdot M e}{π \cdot (σ b)})}^{\frac{1}{3}}

Go Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress

Φ = {(\frac{16 \cdot T e}{π \cdot (τ max)})}^{\frac{1}{3}}

How to Evaluate Equivalent Torque given Maximum Shear Stress?

Equivalent Torque given Maximum Shear Stress evaluator uses Equivalent Torque = Maximum Shear Stress/(16/(pi*(Diameter of Circular Shaft^3))) to evaluate the Equivalent Torque, The Equivalent Torque given Maximum Shear Stress formula is defined as moment due to torsion on shaft at member close to center point. Equivalent Torque is denoted by T_e symbol.

How to evaluate Equivalent Torque given Maximum Shear Stress using this online evaluator? To use this online evaluator for Equivalent Torque given Maximum Shear Stress, enter Maximum Shear Stress (τ_max) & Diameter of Circular Shaft (Φ) and hit the calculate button.

FAQs on Equivalent Torque given Maximum Shear Stress

What is the formula to find Equivalent Torque given Maximum Shear Stress?

The formula of Equivalent Torque given Maximum Shear Stress is expressed as Equivalent Torque = Maximum Shear Stress/(16/(pi*(Diameter of Circular Shaft^3))). Here is an example- 3.479068 = 42000000/(16/(pi*(0.75^3))).

How to calculate Equivalent Torque given Maximum Shear Stress?

With Maximum Shear Stress (τ_max) & Diameter of Circular Shaft (Φ) we can find Equivalent Torque given Maximum Shear Stress using the formula - Equivalent Torque = Maximum Shear Stress/(16/(pi*(Diameter of Circular Shaft^3))). This formula also uses Archimedes' constant .

Can the Equivalent Torque given Maximum Shear Stress be negative?

No, the Equivalent Torque given Maximum Shear Stress, measured in Torque cannot be negative.

Which unit is used to measure Equivalent Torque given Maximum Shear Stress?

Equivalent Torque given Maximum Shear Stress is usually measured using the Kilonewton Meter[kN*m] for Torque. Newton Meter[kN*m], Newton Centimeter[kN*m], Newton Millimeter[kN*m] are the few other units in which Equivalent Torque given Maximum Shear Stress can be measured.

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Equivalent Torque given Maximum Shear Stress Formula

Equivalent Torque given Maximum Shear Stress Example

Equivalent Torque given Maximum Shear Stress Solution

Equivalent Torque given Maximum Shear Stress Formula Elements

Other formulas in Equivalent Bending Moment and Torque category

How to Evaluate Equivalent Torque given Maximum Shear Stress?

FAQs on Equivalent Torque given Maximum Shear Stress

Variable Name