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Equivalent Torsional Moment Formula

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The Equivalent Torsion Moment is the torsional moment which, if acting alone, would produce in a circular shaft a shear stress . Check FAQs

E.T.M = \sqrt{{M b}^{2} + τ^{2}}

E.T.M - Equivalent Torsion Moment?M_b - Bending Moment?τ - Torque Exerted on Wheel?

Equivalent Torsional Moment Example

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Here is how the Equivalent Torsional Moment equation looks like with Values.

Here is how the Equivalent Torsional Moment equation looks like with Units.

Here is how the Equivalent Torsional Moment equation looks like.

72.8629 = \sqrt{53^{2} + 50^{2}}

72.8629 = \sqrt{{53N*m}^{2} + {50N*m}^{2}}

72.8629 = \sqrt{53^{2} + 50^{2}}

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Equivalent Torsional Moment Solution

Follow our step by step solution on how to calculate Equivalent Torsional Moment?

FIRST Step Consider the formula

E.T.M = \sqrt{{M b}^{2} + τ^{2}}

Next Step Substitute values of Variables

∴

E.T.M = \sqrt{{53N*m}^{2} + {50N*m}^{2}}

Next Step Prepare to Evaluate

∴

E.T.M = \sqrt{53^{2} + 50^{2}}

Next Step Evaluate

∴

E.T.M = 72.8628849277875

LAST Step Rounding Answer

∴

E.T.M = 72.8629

Equivalent Torsional Moment Formula Elements

Variables

Functions

Equivalent Torsion Moment

The Equivalent Torsion Moment is the torsional moment which, if acting alone, would produce in a circular shaft a shear stress .

Symbol: E.T.M

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Equivalent Torsion Moment

Bending Moment

The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.

Symbol: M_b

Measurement: Moment of ForceUnit: N*m

Note: Value should be greater than 0.

Formulas to find Bending Moment

Torque Exerted on Wheel

Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque Exerted on Wheel

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Stress and Strain category

Go Elongation Circular Tapered Bar

∆ = \frac{4 \cdot W load \cdot L bar}{π \cdot D 1 \cdot D 2 \cdot e}

Go Moment of Inertia for Hollow Circular Shaft

J = \frac{π}{32} \cdot ({d ho}^{4} - {d hi}^{4})

Go Moment of Inertia about Polar Axis

J = \frac{π \cdot {d s}^{4}}{32}

Go Elongation of Prismatic Bar due to its Own Weight

∆ = \frac{2 \cdot W load \cdot L bar}{A \cdot e}

How to Evaluate Equivalent Torsional Moment?

Equivalent Torsional Moment evaluator uses Equivalent Torsion Moment = sqrt(Bending Moment^(2)+Torque Exerted on Wheel^(2)) to evaluate the Equivalent Torsion Moment, The Equivalent Torsional Moment is defined as twisting moment which, if acting alone, would produce in a circular shaft a shear stress of the same magnitude as the shear stress produced by a given twisting moment and a given bending moment acting simultaneously. Equivalent Torsion Moment is denoted by E.T.M symbol.

How to evaluate Equivalent Torsional Moment using this online evaluator? To use this online evaluator for Equivalent Torsional Moment, enter Bending Moment (M_b) & Torque Exerted on Wheel (τ) and hit the calculate button.

FAQs on Equivalent Torsional Moment

What is the formula to find Equivalent Torsional Moment?

The formula of Equivalent Torsional Moment is expressed as Equivalent Torsion Moment = sqrt(Bending Moment^(2)+Torque Exerted on Wheel^(2)). Here is an example- 72.86288 = sqrt(53^(2)+50^(2)).

How to calculate Equivalent Torsional Moment?

With Bending Moment (M_b) & Torque Exerted on Wheel (τ) we can find Equivalent Torsional Moment using the formula - Equivalent Torsion Moment = sqrt(Bending Moment^(2)+Torque Exerted on Wheel^(2)). This formula also uses Square Root Function function(s).

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