Bending Moment given Bending Stress Pure Bending Calculator

✖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 [σ_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 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 given Bending Stress Pure Bending [M_b]

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Bending Moment given Bending Stress Pure Bending Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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 Stress in Shaft: 177.8 Newton per Square Millimeter --> 177800000 Pascal (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

M_b = (σ_b*pi*d^3)/32 --> (177800000*pi*0.0469^3)/32

Evaluating ... ...

M_b = 1800.73654796977

STEP 3: Convert Result to Output's Unit

1800.73654796977 Newton Meter -->1800736.54796977 Newton Millimeter (Check conversion here)

FINAL ANSWER

1800736.54796977 ≈ 1.8E+6 Newton Millimeter <-- Bending Moment in Shaft

(Calculation completed in 00.004 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 Moment given Bending Stress Pure Bending Formula

LaTeX Go

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

Define Bending Moment?

In solid mechanics, 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 Bending Moment given Bending Stress Pure Bending?

Bending Moment given Bending Stress Pure Bending calculator uses Bending Moment in Shaft = (Bending Stress in Shaft*pi*Diameter of Shaft on Strength Basis^3)/32 to calculate the Bending Moment in Shaft, Bending Moment given Bending Stress Pure Bending formula is defined as a measure of the turning force that causes deformation in a shaft, typically occurring when a load is applied perpendicularly to the shaft's longitudinal axis and is a critical parameter in shaft design to ensure strength and stability. Bending Moment in Shaft is denoted by M_b symbol.

How to calculate Bending Moment given Bending Stress Pure Bending using this online calculator? To use this online calculator for Bending Moment given Bending Stress Pure Bending, enter Bending Stress in Shaft (σ_b) & Diameter of Shaft on Strength Basis (d) and hit the calculate button. Here is how the Bending Moment given Bending Stress Pure Bending calculation can be explained with given input values -> 1.8E+9 = (177800000*pi*0.0469^3)/32.

FAQ

What is Bending Moment given Bending Stress Pure Bending?

Bending Moment given Bending Stress Pure Bending formula is defined as a measure of the turning force that causes deformation in a shaft, typically occurring when a load is applied perpendicularly to the shaft's longitudinal axis and is a critical parameter in shaft design to ensure strength and stability and is represented as M_b = (σ_b*pi*d^3)/32 or Bending Moment in Shaft = (Bending Stress in Shaft*pi*Diameter of Shaft on Strength Basis^3)/32. 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 & 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 Moment given Bending Stress Pure Bending?

Bending Moment given Bending Stress Pure Bending formula is defined as a measure of the turning force that causes deformation in a shaft, typically occurring when a load is applied perpendicularly to the shaft's longitudinal axis and is a critical parameter in shaft design to ensure strength and stability is calculated using Bending Moment in Shaft = (Bending Stress in Shaft*pi*Diameter of Shaft on Strength Basis^3)/32. To calculate Bending Moment given Bending Stress Pure Bending, you need Bending Stress in Shaft (σ_b) & Diameter of Shaft on Strength Basis (d). With our tool, you need to enter the respective value for Bending Stress 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.

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