LCM of three numbers

Equivalent Torsional Moment Calculator

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Stress and Strain Strain Stress

✖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.ⓘ Bending Moment [M_b]			+10% -10%
✖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.ⓘ Torque Exerted on Shaft [T_s]			+10% -10%

✖The Equivalent Torsion Moment is the torsional moment which, if acting alone, would produce in a circular shaft a shear stress .ⓘ Equivalent Torsional Moment [T_eq]

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Equivalent Torsional Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Equivalent Torsion Moment = sqrt(Bending Moment^(2)+Torque Exerted on Shaft^(2))
T_eq = sqrt(M_b^(2)+T_s^(2))
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Equivalent Torsion Moment - The Equivalent Torsion Moment is the torsional moment which, if acting alone, would produce in a circular shaft a shear stress .
Bending Moment - (Measured in Newton Meter) - 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.
Torque Exerted on Shaft - (Measured in Newton Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Bending Moment: 53 Newton Meter --> 53 Newton Meter No Conversion Required
Torque Exerted on Shaft: 50 Newton Meter --> 50 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_eq = sqrt(M_b^(2)+T_s^(2)) --> sqrt(53^(2)+50^(2))

Evaluating ... ...

T_eq = 72.8628849277875

STEP 3: Convert Result to Output's Unit

72.8628849277875 --> No Conversion Required

FINAL ANSWER

72.8628849277875 ≈ 72.86288 <-- Equivalent Torsion Moment

(Calculation completed in 00.020 seconds)

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Created by Pragati Jaju

College Of Engineering (COEP), Pune

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Osmania University (OU), Hyderabad

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Equivalent Torsional Moment Formula

LaTeX Go

Equivalent Torsion Moment = sqrt(Bending Moment^(2)+Torque Exerted on Shaft^(2))
T_eq = sqrt(M_b^(2)+T_s^(2))

What is Torsional Moment?

Torsion is the twisting of a beam under the action of a torque (twisting moment). It is systematically applied to screws, nuts, axles, drive shafts etc, and is also generated more randomly under service conditions in car bodies, boat hulls, aircraft fuselages, bridges, springs and many other structures and components.

How to Calculate Equivalent Torsional Moment?

Equivalent Torsional Moment calculator uses Equivalent Torsion Moment = sqrt(Bending Moment^(2)+Torque Exerted on Shaft^(2)) to calculate 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 calculate Equivalent Torsional Moment using this online calculator? To use this online calculator for Equivalent Torsional Moment, enter Bending Moment (M_b) & Torque Exerted on Shaft (T_s) and hit the calculate button. Here is how the Equivalent Torsional Moment calculation can be explained with given input values -> 72.86288 = sqrt(53^(2)+50^(2)).

FAQ

What is Equivalent Torsional 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 and is represented as T_eq = sqrt(M_b^(2)+T_s^(2)) or Equivalent Torsion Moment = sqrt(Bending Moment^(2)+Torque Exerted on Shaft^(2)). 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 & 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.

How to calculate Equivalent Torsional 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 is calculated using Equivalent Torsion Moment = sqrt(Bending Moment^(2)+Torque Exerted on Shaft^(2)). To calculate Equivalent Torsional Moment, you need Bending Moment (M_b) & Torque Exerted on Shaft (T_s). With our tool, you need to enter the respective value for Bending Moment & Torque Exerted on Shaft 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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