Bending Stress in Shaft Calculator

✖The 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.ⓘ Bending Moment [M_b]			+10% -10%
✖The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.ⓘ Diameter of Shaft [d_s]			+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 in Shaft [σ_b]

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Formula

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Bending Stress in Shaft

Formula

`"σ"_{"b"} = (32*"M"_{"b"})/(pi*"d"_{"s"}^3)`

Example

`"312.4153Pa"=(32*"53N*m")/(pi*("1200mm")^3)`

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Bending Stress in Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Bending Moment - (Measured in Newton Meter) - The 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.
Diameter of Shaft - (Measured in Meter) - The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.

STEP 1: Convert Input(s) to Base Unit

Bending Moment: 53 Newton Meter --> 53 Newton Meter No Conversion Required
Diameter of Shaft: 1200 Millimeter --> 1.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = (32*M_b)/(pi*d_s^3) --> (32*53)/(pi*1.2^3)

Evaluating ... ...

σ_b = 312.415258661869

STEP 3: Convert Result to Output's Unit

312.415258661869 Pascal --> No Conversion Required

FINAL ANSWER

312.415258661869 ≈ 312.4153 Pascal <-- Bending Stress

(Calculation completed in 00.004 seconds)

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Created by Akshay Talbar

Vishwakarma University (VU), Pune

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National Institute Of Technology (NIT), Hamirpur

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< 9 Stress in Design Calculators

Shear Stress on Circular Fillet Weld Subjected to Torsion

Go Torsional Shear Stress = Torsional Moment in Welded Shaft/(pi*Throat Thickness of Weld*Radius of Welded Shaft^2)

Torsional Shear Stress in Bar

Go Torsional Shear Stress = (8*Force*Mean Diameter of Coil)/(pi*Diameter of Spring Wire^3)

Maximum Bending Stress

Go Maximum Bending Stress = (Bending Moment*Distance from Neutral Axis to Extreme Point)/(Polar Moment of Inertia)

Shear Stress for Long Fillet Weld Subjected to Torsion

Go Torsional Shear Stress = (3*Torsional Moment in Welded Shaft)/(Throat Thickness of Weld*Length of Weld^2)

Shear Stress in Parallel Fillet Weld

Go Shear stress in parallel fillet weld = Load on Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)

Shear Stress in Double Parallel Fillet Weld

Go Shearing Stress = Load on Double Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)

Bolt Stress

Go Shear Stress in Bolt = pi/(4*(Nominal Bolt Diameter-0.9743*Pitch Diameter)^2)

Bending Stress in Shaft

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

Maximum Bending Stress given Rectangular Section Modulus

Go Maximum Bending Stress = Bending Moment/Rectangular Section Modulus

Bending Stress in Shaft Formula

Bending Stress = (32*Bending Moment)/(pi*Diameter of Shaft^3)
σ_b = (32*M_b)/(pi*d_s^3)

What is bending stress in shaft?

It is nominal stress when the shaft is subjected to a load which cause bending and become fatigued. These are mostly occur when shafts are subjected to tensile load.

How to Calculate Bending Stress in Shaft?

Bending Stress in Shaft calculator uses Bending Stress = (32*Bending Moment)/(pi*Diameter of Shaft^3) to calculate the Bending Stress, The bending stress in shaft is the normal stress that shaft encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. Bending Stress is denoted by σ_b symbol.

How to calculate Bending Stress in Shaft using this online calculator? To use this online calculator for Bending Stress in Shaft, enter Bending Moment (M_b) & Diameter of Shaft (d_s) and hit the calculate button. Here is how the Bending Stress in Shaft calculation can be explained with given input values -> 312.4153 = (32*53)/(pi*1.2^3).

FAQ

What is Bending Stress in Shaft?

The bending stress in shaft is the normal stress that shaft encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued and is represented as σ_b = (32*M_b)/(pi*d_s^3) or Bending Stress = (32*Bending Moment)/(pi*Diameter of Shaft^3). The 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 Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.

How to calculate Bending Stress in Shaft?

The bending stress in shaft is the normal stress that shaft encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued is calculated using Bending Stress = (32*Bending Moment)/(pi*Diameter of Shaft^3). To calculate Bending Stress in Shaft, you need Bending Moment (M_b) & Diameter of Shaft (d_s). With our tool, you need to enter the respective value for Bending Moment & Diameter of 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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