Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley Calculator

✖Torque Transmitted by Pulley is the amount of torque transmitted by the pulley.ⓘ Torque Transmitted by Pulley [M_t]			+10% -10%
✖Number of Arms in Pulley is the total number of central arms of a pulley.ⓘ Number of Arms in Pulley [N_pu]			+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%

✖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 given Torque Transmitted by Pulley [σ_b]

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Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending stress in pulley's arm = 16*Torque Transmitted by Pulley/(pi*Number of Arms in Pulley*Minor Axis of Pulley Arm^3)
σ_b = 16*M_t/(pi*N_pu*a^3)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Torque Transmitted by Pulley - (Measured in Newton Meter) - Torque Transmitted by Pulley is the amount of torque transmitted by the pulley.
Number of Arms in Pulley - Number of Arms in Pulley is the total number of central arms of a pulley.
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.

STEP 1: Convert Input(s) to Base Unit

Torque Transmitted by Pulley: 75000 Newton Millimeter --> 75 Newton Meter (Check conversion here)
Number of Arms in Pulley: 4 --> No Conversion Required
Minor Axis of Pulley Arm: 13.66 Millimeter --> 0.01366 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = 16*M_t/(pi*N_pu*a^3) --> 16*75/(pi*4*0.01366^3)

Evaluating ... ...

σ_b = 37464443.332109

STEP 3: Convert Result to Output's Unit

37464443.332109 Pascal -->37.464443332109 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

37.464443332109 ≈ 37.46444 Newton per Square Millimeter <-- Bending stress in pulley's arm

(Calculation completed in 00.007 seconds)

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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 given Torque Transmitted by Pulley Formula

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

Define 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 given Torque Transmitted by Pulley?

Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley calculator uses Bending stress in pulley's arm = 16*Torque Transmitted by Pulley/(pi*Number of Arms in Pulley*Minor Axis of Pulley Arm^3) to calculate the Bending stress in pulley's arm, Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. Bending stress in pulley's arm is denoted by σ_b symbol.

How to calculate Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley using this online calculator? To use this online calculator for Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley, enter Torque Transmitted by Pulley (M_t), Number of Arms in Pulley (N_pu) & Minor Axis of Pulley Arm (a) and hit the calculate button. Here is how the Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley calculation can be explained with given input values -> 3.7E-5 = 16*75/(pi*4*0.01366^3).

FAQ

What is Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley?

Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend and is represented as σ_b = 16*M_t/(pi*N_pu*a^3) or Bending stress in pulley's arm = 16*Torque Transmitted by Pulley/(pi*Number of Arms in Pulley*Minor Axis of Pulley Arm^3). Torque Transmitted by Pulley is the amount of torque transmitted by the pulley, Number of Arms in Pulley is the total number of central arms of a pulley & Minor Axis of Pulley Arm is the length of the minor or the smallest axis of the elliptical cross-section of a pulley.

How to calculate Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley?

Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend is calculated using Bending stress in pulley's arm = 16*Torque Transmitted by Pulley/(pi*Number of Arms in Pulley*Minor Axis of Pulley Arm^3). To calculate Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley, you need Torque Transmitted by Pulley (M_t), Number of Arms in Pulley (N_pu) & Minor Axis of Pulley Arm (a). With our tool, you need to enter the respective value for Torque Transmitted by Pulley, Number of Arms in Pulley & Minor Axis of Pulley Arm 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 Torque Transmitted by Pulley, Number of Arms in Pulley & Minor Axis of Pulley Arm. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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