Torque Transmitted by Pulley given Bending Stress in Arm Calculator

✖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%
✖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%

✖Torque Transmitted by Pulley is the amount of torque transmitted by the pulley.ⓘ Torque Transmitted by Pulley given Bending Stress in Arm [M_t]

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Torque Transmitted by Pulley given Bending Stress in Arm Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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

Bending stress in pulley's arm: 34.957 Newton per Square Millimeter --> 34957000 Pascal (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

M_t = σ_b*(pi*N_pu*a^3)/16 --> 34957000*(pi*4*0.01366^3)/16

Evaluating ... ...

M_t = 69.9803538186567

STEP 3: Convert Result to Output's Unit

69.9803538186567 Newton Meter -->69980.3538186567 Newton Millimeter (Check conversion here)

FINAL ANSWER

69980.3538186567 ≈ 69980.35 Newton Millimeter <-- Torque Transmitted by Pulley

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

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)

Torque Transmitted by Pulley given Bending Stress in Arm Formula

LaTeX Go

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

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 Torque Transmitted by Pulley given Bending Stress in Arm?

Torque Transmitted by Pulley given Bending Stress in Arm calculator uses Torque Transmitted by Pulley = Bending stress in pulley's arm*(pi*Number of Arms in Pulley*Minor Axis of Pulley Arm^3)/16 to calculate the Torque Transmitted by Pulley, Torque Transmitted by Pulley given Bending Stress in Arm formula is defined as a measure of the torque capacity of a pulley arm based on the bending stress it can withstand, ensuring safe and efficient operation in mechanical systems. Torque Transmitted by Pulley is denoted by M_t symbol.

How to calculate Torque Transmitted by Pulley given Bending Stress in Arm using this online calculator? To use this online calculator for Torque Transmitted by Pulley given Bending Stress in Arm, enter Bending stress in pulley's arm (σ_b), Number of Arms in Pulley (N_pu) & Minor Axis of Pulley Arm (a) and hit the calculate button. Here is how the Torque Transmitted by Pulley given Bending Stress in Arm calculation can be explained with given input values -> 7E+7 = 34957000*(pi*4*0.01366^3)/16.

FAQ

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

Torque Transmitted by Pulley given Bending Stress in Arm formula is defined as a measure of the torque capacity of a pulley arm based on the bending stress it can withstand, ensuring safe and efficient operation in mechanical systems and is represented as M_t = σ_b*(pi*N_pu*a^3)/16 or Torque Transmitted by Pulley = Bending stress in pulley's arm*(pi*Number of Arms in Pulley*Minor Axis of Pulley Arm^3)/16. 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, 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 Torque Transmitted by Pulley given Bending Stress in Arm?

Torque Transmitted by Pulley given Bending Stress in Arm formula is defined as a measure of the torque capacity of a pulley arm based on the bending stress it can withstand, ensuring safe and efficient operation in mechanical systems is calculated using Torque Transmitted by Pulley = Bending stress in pulley's arm*(pi*Number of Arms in Pulley*Minor Axis of Pulley Arm^3)/16. To calculate Torque Transmitted by Pulley given Bending Stress in Arm, you need Bending stress in pulley's arm (σ_b), Number of Arms in Pulley (N_pu) & Minor Axis of Pulley Arm (a). With our tool, you need to enter the respective value for Bending stress in pulley's arm, 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 Torque Transmitted by Pulley?

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

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*Number of Arms in Pulley/2

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