Bending Stress in Arm of Belt Driven Pulley Calculator

✖Bending Moment in Pulley's Arm is the reaction induced in the arms of the pulley when an external force or moment is applied to the arm, causing the arm to bend.ⓘ Bending Moment in Pulley's Arm [M_b]			+10% -10%
✖Minor Axis of Pulley Arm is the length of the minor or the smallest axis of the elliptical cross-section of a pulley.ⓘ Minor Axis of Pulley Arm [a]			+10% -10%
✖Area Moment of Inertia of Arms is the measure of the resistance of the arms of a part its angular acceleration about a given axis without considering its mass.ⓘ Area Moment of Inertia of Arms [I]			+10% -10%

✖Bending stress in pulley's arm is the normal stress that is induced at a point in the arms of a pulley subjected to loads that cause it to bend.ⓘ Bending Stress in Arm of Belt Driven Pulley [σ_b]

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Bending Stress in Arm of Belt Driven Pulley Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending stress in pulley's arm = Bending Moment in Pulley's Arm*Minor Axis of Pulley Arm/Area Moment of Inertia of Arms
σ_b = M_b*a/I
This formula uses 4 Variables

Variables Used

Bending stress in pulley's arm - (Measured in Pascal) - Bending stress in pulley's arm is the normal stress that is induced at a point in the arms of a pulley subjected to loads that cause it to bend.
Bending Moment in Pulley's Arm - (Measured in Newton Meter) - Bending Moment in Pulley's Arm is the reaction induced in the arms of the pulley when an external force or moment is applied to the arm, causing the arm to bend.
Minor Axis of Pulley Arm - (Measured in Meter) - Minor Axis of Pulley Arm is the length of the minor or the smallest axis of the elliptical cross-section of a pulley.
Area Moment of Inertia of Arms - (Measured in Meter⁴) - Area Moment of Inertia of Arms is the measure of the resistance of the arms of a part its angular acceleration about a given axis without considering its mass.

STEP 1: Convert Input(s) to Base Unit

Bending Moment in Pulley's Arm: 44400 Newton Millimeter --> 44.4 Newton Meter (Check conversion here)
Minor Axis of Pulley Arm: 13.66 Millimeter --> 0.01366 Meter (Check conversion here)
Area Moment of Inertia of Arms: 17350 Millimeter⁴ --> 1.735E-08 Meter⁴ (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = M_b*a/I --> 44.4*0.01366/1.735E-08

Evaluating ... ...

σ_b = 34957002.8818444

STEP 3: Convert Result to Output's Unit

34957002.8818444 Pascal -->34.9570028818444 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

34.9570028818444 ≈ 34.957 Newton per Square Millimeter <-- Bending stress in pulley's arm

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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< Arms of Cast Iron Pulley Calculators

Tangential Force at End of Each Arm of Pulley given Torque Transmitted by Pulley

LaTeX Go Tangential Force at End of Each Pulley Arm = Torque Transmitted by Pulley/(Radius of Rim of Pulley*(Number of Arms in Pulley/2))

Radius of Rim of Pulley given Torque Transmitted by Pulley

LaTeX Go Radius of Rim of Pulley = Torque Transmitted by Pulley/(Tangential Force at End of Each Pulley Arm*(Number of Arms in Pulley/2))

Number of Arms of Pulley given Torque Transmitted by Pulley

LaTeX Go Number of Arms in Pulley = 2*Torque Transmitted by Pulley/(Tangential Force at End of Each Pulley Arm*Radius of Rim of Pulley)

Torque Transmitted by Pulley

LaTeX Go Torque Transmitted by Pulley = Tangential Force at End of Each Pulley Arm*Radius of Rim of Pulley*(Number of Arms in Pulley/2)

Bending Stress in Arm of Belt Driven Pulley Formula

LaTeX Go

Bending stress in pulley's arm = Bending Moment in Pulley's Arm*Minor Axis of Pulley Arm/Area Moment of Inertia of Arms
σ_b = M_b*a/I

What is Bending Stress?

Bending stress is the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. Bending stress occurs when operating industrial equipment and in concrete and metallic structures when they are subjected to a tensile load.

How to Calculate Bending Stress in Arm of Belt Driven Pulley?

Bending Stress in Arm of Belt Driven Pulley calculator uses Bending stress in pulley's arm = Bending Moment in Pulley's Arm*Minor Axis of Pulley Arm/Area Moment of Inertia of Arms to calculate the Bending stress in pulley's arm, Bending Stress in Arm of Belt Driven Pulley formula is defined as a measure of the internal stress experienced by the arm of a pulley due to bending moments, which is crucial for ensuring the structural integrity and performance of belt-driven systems. Bending stress in pulley's arm is denoted by σ_b symbol.

How to calculate Bending Stress in Arm of Belt Driven Pulley using this online calculator? To use this online calculator for Bending Stress in Arm of Belt Driven Pulley, enter Bending Moment in Pulley's Arm (M_b), Minor Axis of Pulley Arm (a) & Area Moment of Inertia of Arms (I) and hit the calculate button. Here is how the Bending Stress in Arm of Belt Driven Pulley calculation can be explained with given input values -> 3.5E-5 = 44.4*0.01366/1.735E-08.

FAQ

What is Bending Stress in Arm of Belt Driven Pulley?

Bending Stress in Arm of Belt Driven Pulley formula is defined as a measure of the internal stress experienced by the arm of a pulley due to bending moments, which is crucial for ensuring the structural integrity and performance of belt-driven systems and is represented as σ_b = M_b*a/I or Bending stress in pulley's arm = Bending Moment in Pulley's Arm*Minor Axis of Pulley Arm/Area Moment of Inertia of Arms. Bending Moment in Pulley's Arm is the reaction induced in the arms of the pulley when an external force or moment is applied to the arm, causing the arm to bend, Minor Axis of Pulley Arm is the length of the minor or the smallest axis of the elliptical cross-section of a pulley & Area Moment of Inertia of Arms is the measure of the resistance of the arms of a part its angular acceleration about a given axis without considering its mass.

How to calculate Bending Stress in Arm of Belt Driven Pulley?

Bending Stress in Arm of Belt Driven Pulley formula is defined as a measure of the internal stress experienced by the arm of a pulley due to bending moments, which is crucial for ensuring the structural integrity and performance of belt-driven systems is calculated using Bending stress in pulley's arm = Bending Moment in Pulley's Arm*Minor Axis of Pulley Arm/Area Moment of Inertia of Arms. To calculate Bending Stress in Arm of Belt Driven Pulley, you need Bending Moment in Pulley's Arm (M_b), Minor Axis of Pulley Arm (a) & Area Moment of Inertia of Arms (I). With our tool, you need to enter the respective value for Bending Moment in Pulley's Arm, Minor Axis of Pulley Arm & Area Moment of Inertia of Arms 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 pulley's arm?

In this formula, Bending stress in pulley's arm uses Bending Moment in Pulley's Arm, Minor Axis of Pulley Arm & Area Moment of Inertia of Arms. We can use 1 other way(s) to calculate the same, which is/are as follows -

Bending stress in pulley's arm = 16*Torque Transmitted by Pulley/(pi*Number of Arms in Pulley*Minor Axis of Pulley Arm^3)

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