Diameter of Circular Shaft given Equivalent Bending Stress Calculator

✖The Equivalent Bending Moment is a bending moment which, acting alone, would produce in a circular shaft a normal stress.ⓘ Equivalent Bending Moment [M_e]			+10% -10%
✖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 given Equivalent Bending Stress [Φ]

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Diameter of Circular Shaft given Equivalent Bending Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Circular Shaft = ((32*Equivalent Bending Moment)/(pi*(Bending Stress)))^(1/3)
Φ = ((32*M_e)/(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 Circular Shaft - (Measured in Meter) - Diameter of circular shaft is denoted by d.
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.

STEP 1: Convert Input(s) to Base Unit

Equivalent Bending Moment: 30 Kilonewton Meter --> 30000 Newton Meter (Check conversion here)
Bending Stress: 0.72 Megapascal --> 720000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ = ((32*M_e)/(pi*(σ_b)))^(1/3) --> ((32*30000)/(pi*(720000)))^(1/3)

Evaluating ... ...

Φ = 0.751501101191218

STEP 3: Convert Result to Output's Unit

0.751501101191218 Meter -->751.501101191218 Millimeter (Check conversion here)

FINAL ANSWER

751.501101191218 ≈ 751.5011 Millimeter <-- Diameter of Circular Shaft

(Calculation completed in 00.020 seconds)

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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))

Diameter of Circular Shaft given Equivalent Bending Stress Formula

LaTeX Go

Diameter of Circular Shaft = ((32*Equivalent Bending Moment)/(pi*(Bending Stress)))^(1/3)
Φ = ((32*M_e)/(pi*(σ_b)))^(1/3)

What is Combined Bending and Torsion?

The Combined Bending , Direct and Torsional Stresses in shafts arise 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 Diameter of Circular Shaft given Equivalent Bending Stress?

Diameter of Circular Shaft given Equivalent Bending Stress calculator uses Diameter of Circular Shaft = ((32*Equivalent Bending Moment)/(pi*(Bending Stress)))^(1/3) to calculate the Diameter of Circular Shaft, The Diameter of Circular Shaft given Equivalent Bending Stress formula is defined as the diametrical geometry influencing the bending moment and bending stress of the circular shaft. Diameter of Circular Shaft is denoted by Φ symbol.

How to calculate Diameter of Circular Shaft given Equivalent Bending Stress using this online calculator? To use this online calculator for Diameter of Circular Shaft given Equivalent Bending Stress, enter Equivalent Bending Moment (M_e) & Bending Stress (σ_b) and hit the calculate button. Here is how the Diameter of Circular Shaft given Equivalent Bending Stress calculation can be explained with given input values -> 0.751501 = ((32*30000)/(pi*(720000)))^(1/3).

FAQ

What is Diameter of Circular Shaft given Equivalent Bending Stress?

The Diameter of Circular Shaft given Equivalent Bending Stress formula is defined as the diametrical geometry influencing the bending moment and bending stress of the circular shaft and is represented as Φ = ((32*M_e)/(pi*(σ_b)))^(1/3) or Diameter of Circular Shaft = ((32*Equivalent Bending Moment)/(pi*(Bending Stress)))^(1/3). The Equivalent Bending Moment is a bending moment which, acting alone, would produce in a circular shaft a normal stress & The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

How to calculate Diameter of Circular Shaft given Equivalent Bending Stress?

The Diameter of Circular Shaft given Equivalent Bending Stress formula is defined as the diametrical geometry influencing the bending moment and bending stress of the circular shaft is calculated using Diameter of Circular Shaft = ((32*Equivalent Bending Moment)/(pi*(Bending Stress)))^(1/3). To calculate Diameter of Circular Shaft given Equivalent Bending Stress, you need Equivalent Bending Moment (M_e) & Bending Stress (σ_b). With our tool, you need to enter the respective value for Equivalent Bending Moment & Bending Stress 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 Circular Shaft?

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

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

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