Equivalent Torsional Moment Calculator

✖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 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.ⓘ Torque Exerted on Wheel [τ]			+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 [E.T.M]

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Formula

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Equivalent Torsional Moment

Formula

`"E.T.M" = sqrt("M"_{"b"}^(2)+"τ"^(2))`

Example

`"72.86288"=sqrt(("53N*m")^(2)+("50N*m")^(2))`

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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 Wheel^(2))
E.T.M = sqrt(M_b^(2)+τ^(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 Wheel - (Measured in Newton Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E.T.M = sqrt(M_b^(2)+τ^(2)) --> sqrt(53^(2)+50^(2))

Evaluating ... ...

E.T.M = 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 00.004 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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< 21 Stress and Strain Calculators

Normal Stress 1

Go Normal Stress 1 = (Principal Stress along x+Principal Stress along y)/2+sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress on Upper Surface^2)

Normal Stress 2

Go Normal Stress 2 = (Principal Stress along x+Principal Stress along y)/2-sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress on Upper Surface^2)

Elongation Circular Tapered Bar

Go Elongation = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus)

Total Angle of Twist

Go Total Angle of Twist = (Torque Exerted on Wheel*Shaft Length)/(Shear Modulus*Polar Moment of Inertia)

Moment of Inertia for Hollow Circular Shaft

Go Polar Moment of Inertia = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4))

Equivalent Bending Moment

Go Equivalent Bending Moment = Bending Moment+sqrt(Bending Moment^(2)+Torque Exerted on Wheel^(2))

Deflection of Fixed Beam with Uniformly Distributed Load

Go Deflection of Beam = (Width of Beam*Beam Length^4)/(384*Elastic Modulus*Moment of Inertia)

Deflection of Fixed Beam with Load at Center

Go Deflection of Beam = (Width of Beam*Beam Length^3)/(192*Elastic Modulus*Moment of Inertia)

Elongation of Prismatic Bar due to its Own Weight

Go Elongation = (2*Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)

Axial Elongation of Prismatic Bar due to External Load

Go Elongation = (Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)

Hooke's Law

Go Young's Modulus = (Load*Elongation)/(Area of Base*Initial Length)

Equivalent Torsional Moment

Go Equivalent Torsion Moment = sqrt(Bending Moment^(2)+Torque Exerted on Wheel^(2))

Rankine's Formula for Columns

Go Rankine’s Critical Load = 1/(1/Euler’s Buckling Load+1/Ultimate Crushing Load for Columns)

Slenderness Ratio

Go Slenderness Ratio = Effective Length/Least Radius of Gyration

Moment of Inertia about Polar Axis

Go Polar Moment of Inertia = (pi*Diameter of Shaft^(4))/32

Torque on Shaft

Go Torque Exerted on Shaft = Force*Shaft Diameter/2

Bulk Modulus given Volume Stress and Strain

Go Bulk Modulus = Volume Stress/Volumetric Strain

Shear Modulus

Go Shear Modulus = Shear Stress/Shear Strain

Bulk Modulus given Bulk Stress and Strain

Go Bulk Modulus = Bulk Stress/Bulk Strain

Young's Modulus

Go Young's Modulus = Stress/Strain

Elastic Modulus

Go Young's Modulus = Stress/Strain

Equivalent Torsional Moment Formula

Equivalent Torsion Moment = sqrt(Bending Moment^(2)+Torque Exerted on Wheel^(2))
E.T.M = sqrt(M_b^(2)+τ^(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 Wheel^(2)) to calculate 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 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 Wheel (τ) 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 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 and is represented as E.T.M = sqrt(M_b^(2)+τ^(2)) or Equivalent Torsion Moment = sqrt(Bending Moment^(2)+Torque Exerted on Wheel^(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 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.

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