Diameter of Shaft given Bending Stress Pure Bending 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%
✖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 given Bending Stress Pure Bending [d]

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Diameter of Shaft given Bending Stress Pure Bending Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Bending Moment in Shaft: 1800736.547 Newton Millimeter --> 1800.736547 Newton Meter (Check conversion here)
Bending Stress in Shaft: 177.8 Newton per Square Millimeter --> 177800000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = ((32*M_b)/(pi*σ_b))^(1/3) --> ((32*1800.736547)/(pi*177800000))^(1/3)

Evaluating ... ...

d = 0.0468999999915808

STEP 3: Convert Result to Output's Unit

0.0468999999915808 Meter -->46.8999999915808 Millimeter (Check conversion here)

FINAL ANSWER

46.8999999915808 ≈ 46.9 Millimeter <-- Diameter of Shaft on Strength Basis

(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

Diameter of Shaft given Bending Stress Pure Bending Formula

LaTeX Go

Diameter of Shaft on Strength Basis = ((32*Bending Moment in Shaft)/(pi*Bending Stress in Shaft))^(1/3)
d = ((32*M_b)/(pi*σ_b))^(1/3)

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 Diameter of Shaft given Bending Stress Pure Bending?

Diameter of Shaft given Bending Stress Pure Bending calculator uses Diameter of Shaft on Strength Basis = ((32*Bending Moment in Shaft)/(pi*Bending Stress in Shaft))^(1/3) to calculate the Diameter of Shaft on Strength Basis, Diameter of Shaft given Bending Stress Pure Bending formula is defined as a measure of the diameter of a shaft under pure bending stress, which is a critical parameter in shaft design to ensure the shaft can withstand the bending stress without failing. Diameter of Shaft on Strength Basis is denoted by d symbol.

How to calculate Diameter of Shaft given Bending Stress Pure Bending using this online calculator? To use this online calculator for Diameter of Shaft given Bending Stress Pure Bending, enter Bending Moment in Shaft (M_b) & Bending Stress in Shaft (σ_b) and hit the calculate button. Here is how the Diameter of Shaft given Bending Stress Pure Bending calculation can be explained with given input values -> 46893.6 = ((32*1800.736547)/(pi*177800000))^(1/3).

FAQ

What is Diameter of Shaft given Bending Stress Pure Bending?

Diameter of Shaft given Bending Stress Pure Bending formula is defined as a measure of the diameter of a shaft under pure bending stress, which is a critical parameter in shaft design to ensure the shaft can withstand the bending stress without failing and is represented as d = ((32*M_b)/(pi*σ_b))^(1/3) or Diameter of Shaft on Strength Basis = ((32*Bending Moment in Shaft)/(pi*Bending Stress in Shaft))^(1/3). 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 & 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.

How to calculate Diameter of Shaft given Bending Stress Pure Bending?

Diameter of Shaft given Bending Stress Pure Bending formula is defined as a measure of the diameter of a shaft under pure bending stress, which is a critical parameter in shaft design to ensure the shaft can withstand the bending stress without failing is calculated using Diameter of Shaft on Strength Basis = ((32*Bending Moment in Shaft)/(pi*Bending Stress in Shaft))^(1/3). To calculate Diameter of Shaft given Bending Stress Pure Bending, you need Bending Moment in Shaft (M_b) & Bending Stress in Shaft (σ_b). With our tool, you need to enter the respective value for Bending Moment in Shaft & Bending Stress in Shaft 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 Diameter of Shaft on Strength Basis?

In this formula, Diameter of Shaft on Strength Basis uses Bending Moment in Shaft & Bending Stress in Shaft. We can use 2 other way(s) to calculate the same, which is/are as follows -

Diameter of Shaft on Strength Basis = sqrt(4*Axial Force on Shaft/(pi*Tensile Stress in Shaft))
Diameter of Shaft on Strength Basis = (16*Torsional Moment in Shaft/(pi*Torsional Shear Stress in Shaft))^(1/3)

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