HCF of three numbers

Equivalent Bending 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 Bending Moment is a bending moment which, acting alone, would produce in a circular shaft a normal stress .ⓘ Equivalent Bending Moment [M_eq]

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Equivalent Bending Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Equivalent Bending Moment = Bending Moment+sqrt(Bending Moment^(2)+Torque Exerted on Shaft^(2))
M_eq = M_b+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 Bending Moment - (Measured in Newton Meter) - The Equivalent Bending Moment is a bending moment which, acting alone, would produce in a circular shaft a normal 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

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

Evaluating ... ...

M_eq = 125.862884927787

STEP 3: Convert Result to Output's Unit

125.862884927787 Newton Meter --> No Conversion Required

FINAL ANSWER

125.862884927787 ≈ 125.8629 Newton Meter <-- Equivalent Bending 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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< Stress and Strain Calculators

Elongation Circular Tapered Bar

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

Moment of Inertia for Hollow Circular Shaft

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

Elongation of Prismatic Bar due to its Own Weight

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

Moment of Inertia about Polar Axis

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

Equivalent Bending Moment Formula

LaTeX Go

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

What is Bending Moment?

A 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. The most common or simplest structural element subjected to bending moments is the beam.

How to Calculate Equivalent Bending Moment?

Equivalent Bending Moment calculator uses Equivalent Bending Moment = Bending Moment+sqrt(Bending Moment^(2)+Torque Exerted on Shaft^(2)) to calculate the Equivalent Bending Moment, The Equivalent Bending Moment formula is defined as a measure of the total bending effect on a beam or a structural member, considering both the bending moment and the torsional moment, which helps in determining the maximum stress and deformation of the member under various loads. Equivalent Bending Moment is denoted by M_eq symbol.

How to calculate Equivalent Bending Moment using this online calculator? To use this online calculator for Equivalent Bending Moment, enter Bending Moment (M_b) & Torque Exerted on Shaft (T_s) and hit the calculate button. Here is how the Equivalent Bending Moment calculation can be explained with given input values -> 125.8629 = 53+sqrt(53^(2)+50^(2)).

FAQ

What is Equivalent Bending Moment?

The Equivalent Bending Moment formula is defined as a measure of the total bending effect on a beam or a structural member, considering both the bending moment and the torsional moment, which helps in determining the maximum stress and deformation of the member under various loads and is represented as M_eq = M_b+sqrt(M_b^(2)+T_s^(2)) or Equivalent Bending Moment = Bending 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 Bending Moment?

The Equivalent Bending Moment formula is defined as a measure of the total bending effect on a beam or a structural member, considering both the bending moment and the torsional moment, which helps in determining the maximum stress and deformation of the member under various loads is calculated using Equivalent Bending Moment = Bending Moment+sqrt(Bending Moment^(2)+Torque Exerted on Shaft^(2)). To calculate Equivalent Bending 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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