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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

T eq = \sqrt{{M b}^{2} + {T s}^{2}}

T_eq - Equivalent Torsion Moment?M_b - Bending Moment?T_s - Torque Exerted on Shaft?

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

T eq = \sqrt{{M b}^{2} + {T s}^{2}}

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

T eq = \sqrt{53^{2} + 50^{2}}

Next Step Evaluate

∴

T eq = 72.8628849277875

LAST Step Rounding Answer

∴

T eq = 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: T_eq

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 Shaft

Torque Exerted on Shaft 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: T_s

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque Exerted on Shaft

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

Δ c = \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 h = \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

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

How to Evaluate Equivalent Torsional Moment?

Equivalent Torsional Moment evaluator uses Equivalent Torsion Moment = sqrt(Bending Moment^(2)+Torque Exerted on Shaft^(2)) to evaluate the Equivalent Torsion Moment, The Equivalent Torsional Moment formula is defined as a measure of the total twisting effect of a shaft, combining the bending moment and torsional moment, providing a comprehensive understanding of the stress and strain experienced by the shaft in various mechanical systems. Equivalent Torsion Moment is denoted by T_eq 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 Shaft (T_s) 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 Shaft^(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 Shaft (T_s) we can find Equivalent Torsional Moment using the formula - Equivalent Torsion Moment = sqrt(Bending Moment^(2)+Torque Exerted on Shaft^(2)). This formula also uses Square Root (sqrt) function(s).

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