Number of Arms of Pulley given Bending Stress in Arm Calculator

✖Torque Transmitted by Pulley is the amount of torque transmitted by the pulley.ⓘ Torque Transmitted by Pulley [M_t]			+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 pulley's arm [σ_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%

✖Number of Arms in Pulley is the total number of central arms of a pulley.ⓘ Number of Arms of Pulley given Bending Stress in Arm [N_pu]

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Number of Arms of Pulley given Bending Stress in Arm Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Number of Arms in Pulley - Number of Arms in Pulley is the total number of central arms of a pulley.
Torque Transmitted by Pulley - (Measured in Newton Meter) - Torque Transmitted by Pulley is the amount of torque transmitted by the pulley.
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.
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: 88800 Newton Millimeter --> 88.8 Newton Meter (Check conversion here)
Bending stress in pulley's arm: 34.957 Newton per Square Millimeter --> 34957000 Pascal (Check conversion here)
Minor Axis of Pulley Arm: 13.66 Millimeter --> 0.01366 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_pu = 16*M_t/(pi*σ_b*a^3) --> 16*88.8/(pi*34957000*0.01366^3)

Evaluating ... ...

N_pu = 5.07571026177499

STEP 3: Convert Result to Output's Unit

5.07571026177499 --> No Conversion Required

FINAL ANSWER

5.07571026177499 ≈ 5.07571 <-- Number of Arms in Pulley

(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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< 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)

Number of Arms of Pulley given Bending Stress in Arm Formula

LaTeX Go

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

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 Number of Arms of Pulley given Bending Stress in Arm?

Number of Arms of Pulley given Bending Stress in Arm calculator uses Number of Arms in Pulley = 16*Torque Transmitted by Pulley/(pi*Bending stress in pulley's arm*Minor Axis of Pulley Arm^3) to calculate the Number of Arms in Pulley, Number of Arms of Pulley given Bending Stress in Arm formula is defined as a method to determine the required number of arms in a pulley design, ensuring that the structure can withstand the bending stresses experienced during operation. Number of Arms in Pulley is denoted by N_pu symbol.

How to calculate Number of Arms of Pulley given Bending Stress in Arm using this online calculator? To use this online calculator for Number of Arms of Pulley given Bending Stress in Arm, enter Torque Transmitted by Pulley (M_t), Bending stress in pulley's arm (σ_b) & Minor Axis of Pulley Arm (a) and hit the calculate button. Here is how the Number of Arms of Pulley given Bending Stress in Arm calculation can be explained with given input values -> 4.286917 = 16*88.8/(pi*34957000*0.01366^3).

FAQ

What is Number of Arms of Pulley given Bending Stress in Arm?

Number of Arms of Pulley given Bending Stress in Arm formula is defined as a method to determine the required number of arms in a pulley design, ensuring that the structure can withstand the bending stresses experienced during operation and is represented as N_pu = 16*M_t/(pi*σ_b*a^3) or Number of Arms in Pulley = 16*Torque Transmitted by Pulley/(pi*Bending stress in pulley's arm*Minor Axis of Pulley Arm^3). Torque Transmitted by Pulley is the amount of torque transmitted by the pulley, 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 & 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 Number of Arms of Pulley given Bending Stress in Arm?

Number of Arms of Pulley given Bending Stress in Arm formula is defined as a method to determine the required number of arms in a pulley design, ensuring that the structure can withstand the bending stresses experienced during operation is calculated using Number of Arms in Pulley = 16*Torque Transmitted by Pulley/(pi*Bending stress in pulley's arm*Minor Axis of Pulley Arm^3). To calculate Number of Arms of Pulley given Bending Stress in Arm, you need Torque Transmitted by Pulley (M_t), Bending stress in pulley's arm (σ_b) & Minor Axis of Pulley Arm (a). With our tool, you need to enter the respective value for Torque Transmitted by Pulley, Bending stress in pulley's arm & 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 Number of Arms in Pulley?

In this formula, Number of Arms in Pulley uses Torque Transmitted by Pulley, Bending stress in pulley's arm & Minor Axis of Pulley Arm. We can use 2 other way(s) to calculate the same, which is/are as follows -

Number of Arms in Pulley = 2*Torque Transmitted by Pulley/(Tangential Force at End of Each Pulley Arm*Radius of Rim of Pulley)
Number of Arms in Pulley = 2*Torque Transmitted by Pulley/Bending Moment in Pulley's Arm

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