Equivalent Bending Moment of Circular Shaft Calculator

✖The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.ⓘ Bending Stress [σ_b]			+10% -10%
✖Diameter of circular shaft is denoted by d.ⓘ Diameter of Circular Shaft [Φ]			+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 of Circular Shaft [M_e]

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Equivalent Bending Moment of Circular Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Equivalent Bending Moment = Bending Stress/(32/(pi*(Diameter of Circular Shaft^3)))
M_e = σ_b/(32/(pi*(Φ^3)))
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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 Stress - (Measured in Pascal) - The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.
Diameter of Circular Shaft - (Measured in Meter) - Diameter of circular shaft is denoted by d.

STEP 1: Convert Input(s) to Base Unit

Bending Stress: 0.72 Megapascal --> 720000 Pascal (Check conversion here)
Diameter of Circular Shaft: 750 Millimeter --> 0.75 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_e = σ_b/(32/(pi*(Φ^3))) --> 720000/(32/(pi*(0.75^3)))

Evaluating ... ...

M_e = 29820.5865164969

STEP 3: Convert Result to Output's Unit

29820.5865164969 Newton Meter -->29.8205865164969 Kilonewton Meter (Check conversion here)

FINAL ANSWER

29.8205865164969 ≈ 29.82059 Kilonewton Meter <-- Equivalent Bending Moment

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Equivalent Bending Moment and Torque Calculators

Diameter of Circular Shaft given Equivalent Bending Stress

LaTeX Go Diameter of Circular Shaft = ((32*Equivalent Bending Moment)/(pi*(Bending Stress)))^(1/3)

Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress

LaTeX Go Diameter of Circular Shaft = ((16*Equivalent Torque)/(pi*(Maximum Shear Stress)))^(1/3)

Bending Stress of Circular Shaft given Equivalent Bending Moment

LaTeX Go Bending Stress = (32*Equivalent Bending Moment)/(pi*(Diameter of Circular Shaft^3))

Maximum Shear Stress due to Equivalent Torque

LaTeX Go Maximum Shear Stress = (16*Equivalent Torque)/(pi*(Diameter of Circular Shaft^3))

Equivalent Bending Moment of Circular Shaft Formula

LaTeX Go

Equivalent Bending Moment = Bending Stress/(32/(pi*(Diameter of Circular Shaft^3)))
M_e = σ_b/(32/(pi*(Φ^3)))

What is Combined Bending and Torsion?

Combined bending , direct and torsional stresses in shafts are arised when such as in propeller shafts of ships where a shaft is subjected to direct thrust in addition to bending moment and torsion. In such cases the direct stresses due to bending moment and the axial thrust have to be combined into a single resultant.

How to Calculate Equivalent Bending Moment of Circular Shaft?

Equivalent Bending Moment of Circular Shaft calculator uses Equivalent Bending Moment = Bending Stress/(32/(pi*(Diameter of Circular Shaft^3))) to calculate the Equivalent Bending Moment, The Equivalent Bending Moment of Circular Shaft formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. Equivalent Bending Moment is denoted by M_e symbol.

How to calculate Equivalent Bending Moment of Circular Shaft using this online calculator? To use this online calculator for Equivalent Bending Moment of Circular Shaft, enter Bending Stress (σ_b) & Diameter of Circular Shaft (Φ) and hit the calculate button. Here is how the Equivalent Bending Moment of Circular Shaft calculation can be explained with given input values -> 0.029821 = 720000/(32/(pi*(0.75^3))).

FAQ

What is Equivalent Bending Moment of Circular Shaft?

The Equivalent Bending Moment of Circular Shaft formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend and is represented as M_e = σ_b/(32/(pi*(Φ^3))) or Equivalent Bending Moment = Bending Stress/(32/(pi*(Diameter of Circular Shaft^3))). The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend & Diameter of circular shaft is denoted by d.

How to calculate Equivalent Bending Moment of Circular Shaft?

The Equivalent Bending Moment of Circular Shaft formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend is calculated using Equivalent Bending Moment = Bending Stress/(32/(pi*(Diameter of Circular Shaft^3))). To calculate Equivalent Bending Moment of Circular Shaft, you need Bending Stress (σ_b) & Diameter of Circular Shaft (Φ). With our tool, you need to enter the respective value for Bending Stress & Diameter of Circular 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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