Bending Stress in Shaft Pure Bending Moment Calculator

✖Bending Moment in Shaft is the twisting force that causes the shaft to bend or deform due to external loads in shaft design on strength basis.ⓘ Bending Moment in Shaft [M_b]			+10% -10%
✖Diameter of Shaft on Strength Basis is the diameter of a shaft calculated based on the strength requirements of the shaft design.ⓘ Diameter of Shaft on Strength Basis [d]			+10% -10%

✖Bending Stress in Shaft is the external force that causes a shaft to deform by bending, typically measured in units of force per unit area.ⓘ Bending Stress in Shaft Pure Bending Moment [σ_b]

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Bending Stress in Shaft Pure Bending Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Stress in Shaft = (32*Bending Moment in Shaft)/(pi*Diameter of Shaft on Strength Basis^3)
σ_b = (32*M_b)/(pi*d^3)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Bending Stress in Shaft - (Measured in Pascal) - Bending Stress in Shaft is the external force that causes a shaft to deform by bending, typically measured in units of force per unit area.
Bending Moment in Shaft - (Measured in Newton Meter) - Bending Moment in Shaft is the twisting force that causes the shaft to bend or deform due to external loads in shaft design on strength basis.
Diameter of Shaft on Strength Basis - (Measured in Meter) - Diameter of Shaft on Strength Basis is the diameter of a shaft calculated based on the strength requirements of the shaft design.

STEP 1: Convert Input(s) to Base Unit

Bending Moment in Shaft: 1800736.547 Newton Millimeter --> 1800.736547 Newton Meter (Check conversion here)
Diameter of Shaft on Strength Basis: 46.9 Millimeter --> 0.0469 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = (32*M_b)/(pi*d^3) --> (32*1800.736547)/(pi*0.0469^3)

Evaluating ... ...

σ_b = 177799999.904247

STEP 3: Convert Result to Output's Unit

177799999.904247 Pascal -->177.799999904247 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

177.799999904247 ≈ 177.8 Newton per Square Millimeter <-- Bending Stress in Shaft

(Calculation completed in 00.020 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Shaft Design on Strength Basis Calculators

Diameter of Shaft given Tensile Stress in Shaft

LaTeX Go Diameter of Shaft on Strength Basis = sqrt(4*Axial Force on Shaft/(pi*Tensile Stress in Shaft))

Bending Stress in Shaft Pure Bending Moment

LaTeX Go Bending Stress in Shaft = (32*Bending Moment in Shaft)/(pi*Diameter of Shaft on Strength Basis^3)

Tensile Stress in Shaft when it is Subjected to Axial Tensile Force

LaTeX Go Tensile Stress in Shaft = 4*Axial Force on Shaft/(pi*Diameter of Shaft on Strength Basis^2)

Axial Force given Tensile Stress in Shaft

LaTeX Go Axial Force on Shaft = Tensile Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^2)/4

Bending Stress in Shaft Pure Bending Moment Formula

LaTeX Go

Bending Stress in Shaft = (32*Bending Moment in Shaft)/(pi*Diameter of Shaft on Strength Basis^3)
σ_b = (32*M_b)/(pi*d^3)

Define Bending Stress?

Bending stress is a more specific type of normal stress. The stress at the horizontal plane of the neutral is zero. The bottom fibers of the beam undergo a normal tensile stress. It can be concluded therefore that the value of the bending stress will vary linearly with distance from the neutral axis.

How to Calculate Bending Stress in Shaft Pure Bending Moment?

Bending Stress in Shaft Pure Bending Moment calculator uses Bending Stress in Shaft = (32*Bending Moment in Shaft)/(pi*Diameter of Shaft on Strength Basis^3) to calculate the Bending Stress in Shaft, Bending Stress in Shaft Pure Bending Moment formula is defined as a measure of the maximum stress developed in a shaft when it is subjected to a pure bending moment, providing a critical value for shaft design and analysis to ensure the structural integrity of the shaft under various loading conditions. Bending Stress in Shaft is denoted by σ_b symbol.

How to calculate Bending Stress in Shaft Pure Bending Moment using this online calculator? To use this online calculator for Bending Stress in Shaft Pure Bending Moment, enter Bending Moment in Shaft (M_b) & Diameter of Shaft on Strength Basis (d) and hit the calculate button. Here is how the Bending Stress in Shaft Pure Bending Moment calculation can be explained with given input values -> 0.000178 = (32*1800.736547)/(pi*0.0469^3).

FAQ

What is Bending Stress in Shaft Pure Bending Moment?

Bending Stress in Shaft Pure Bending Moment formula is defined as a measure of the maximum stress developed in a shaft when it is subjected to a pure bending moment, providing a critical value for shaft design and analysis to ensure the structural integrity of the shaft under various loading conditions and is represented as σ_b = (32*M_b)/(pi*d^3) or Bending Stress in Shaft = (32*Bending Moment in Shaft)/(pi*Diameter of Shaft on Strength Basis^3). Bending Moment in Shaft is the twisting force that causes the shaft to bend or deform due to external loads in shaft design on strength basis & Diameter of Shaft on Strength Basis is the diameter of a shaft calculated based on the strength requirements of the shaft design.

How to calculate Bending Stress in Shaft Pure Bending Moment?

Bending Stress in Shaft Pure Bending Moment formula is defined as a measure of the maximum stress developed in a shaft when it is subjected to a pure bending moment, providing a critical value for shaft design and analysis to ensure the structural integrity of the shaft under various loading conditions is calculated using Bending Stress in Shaft = (32*Bending Moment in Shaft)/(pi*Diameter of Shaft on Strength Basis^3). To calculate Bending Stress in Shaft Pure Bending Moment, you need Bending Moment in Shaft (M_b) & Diameter of Shaft on Strength Basis (d). With our tool, you need to enter the respective value for Bending Moment in Shaft & Diameter of Shaft on Strength Basis and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Bending Stress in Shaft?

In this formula, Bending Stress in Shaft uses Bending Moment in Shaft & Diameter of Shaft on Strength Basis. We can use 1 other way(s) to calculate the same, which is/are as follows -

Bending Stress in Shaft = Normal Stress in Shaft-Tensile Stress in Shaft

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