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
Mt = σb*(pi*N*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: 29.5 Newton per Square Millimeter --> 29500000 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
Mt = σb*(pi*N*a^3)/16 --> 29500000*(pi*4*0.01366^3)/16
Evaluating ... ...
Mt = 59.055995584586
STEP 3: Convert Result to Output's Unit
59.055995584586 Newton Meter -->59055.995584586 Newton Millimeter (Check conversion here)
FINAL ANSWER
59055.995584586 59056 Newton Millimeter <-- Torque Transmitted by Pulley
(Calculation completed in 00.004 seconds)

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23 Arms of Cast Iron Pulley Calculators

Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress
Go Minor Axis of Pulley Arm = (16*Torque Transmitted by Pulley/(pi*Number of Arms in Pulley*Bending stress in pulley's arm))^(1/3)
Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley
Go 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 given Bending Stress in Arm
Go Torque Transmitted by Pulley = Bending stress in pulley's arm*(pi*Number of Arms in Pulley*Minor Axis of Pulley Arm^3)/16
Number of Arms of Pulley given Bending Stress in Arm
Go Number of Arms in Pulley = 16*Torque Transmitted by Pulley/(pi*Bending stress in pulley's arm*Minor Axis of Pulley Arm^3)
Tangential Force at End of Each Arm of Pulley given Torque Transmitted by Pulley
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
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
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
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 Moment on Arm of Belt Driven Pulley given Bending Stress in Arm
Go Bending moment in pulley's arm = Area moment of inertia of arms*Bending stress in pulley's arm/Minor Axis of Pulley Arm
Moment of Inertia of Pulley's Arm given Bending Stress in Arm
Go Area moment of inertia of arms = Bending moment in pulley's arm*Minor Axis of Pulley Arm/Bending stress in pulley's arm
Bending Stress in Arm of Belt Driven Pulley
Go Bending stress in pulley's arm = Bending moment in pulley's arm*Minor Axis of Pulley Arm/Area moment of inertia of arms
Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm
Go Major Axis of Pulley Arm = (64*Area moment of inertia of arms/(pi*Minor Axis of Pulley Arm))^(1/3)
Minor Axis of Elliptical Cross-Section of Arm given Moment of Inertia of Arm
Go Minor Axis of Pulley Arm = 64*Area moment of inertia of arms/(pi*Major Axis of Pulley Arm^3)
Moment of Inertia of Pulley's Arm
Go Area moment of inertia of arms = (pi*Minor Axis of Pulley Arm*Major Axis of Pulley Arm^3)/64
Minor Axis of Elliptical Cross-Section of Pulley's Arm given Bending Stress in Arm
Go Minor Axis of Pulley Arm = 1.72*((Bending moment in pulley's arm/(2*Bending stress in pulley's arm))^(1/3))
Tangential Force at End of Each Arm of Pulley given Bending Moment on Arm
Go Tangential Force at End of Each Pulley Arm = Bending moment in pulley's arm/Radius of Rim of Pulley
Radius of Rim of Pulley given Bending Moment Acting on Arm
Go Radius of Rim of Pulley = Bending moment in pulley's arm/Tangential Force at End of Each Pulley Arm
Bending Moment on Arm of Belt Driven Pulley
Go Bending moment in pulley's arm = Tangential Force at End of Each Pulley Arm*Radius of Rim of Pulley
Bending Moment on Arm of Belt Driven Pulley given Torque Transmitted by Pulley
Go Bending moment in pulley's arm = 2*Torque Transmitted by Pulley/Number of Arms in Pulley
Torque Transmitted by Pulley given Bending Moment on Arm
Go Torque Transmitted by Pulley = Bending moment in pulley's arm*Number of Arms in Pulley/2
Number of Arms of Pulley given Bending Moment on Arm
Go Number of Arms in Pulley = 2*Torque Transmitted by Pulley/Bending moment in pulley's arm
Minor Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm
Go Minor Axis of Pulley Arm = (8*Area moment of inertia of arms/pi)^(1/4)
Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm
Go Area moment of inertia of arms = pi*Minor Axis of Pulley Arm^4/8

Torque Transmitted by Pulley given Bending Stress in Arm Formula

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

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 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 the amount of torque transmitted by the pulley. Torque Transmitted by Pulley is denoted by Mt 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 b), Number of Arms in Pulley (N) & 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 -> 5.9E+7 = 29500000*(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 the amount of torque transmitted by the pulley and is represented as Mt = σb*(pi*N*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 the amount of torque transmitted by the pulley 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 b), Number of Arms in Pulley (N) & 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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