Number of Arms of Pulley given Bending Moment on Arm Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Arms in Pulley = 2*Torque Transmitted by Pulley/Bending moment in pulley's arm
N = 2*Mt/Mb
This formula uses 3 Variables
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 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.
STEP 1: Convert Input(s) to Base Unit
Torque Transmitted by Pulley: 75000 Newton Millimeter --> 75 Newton Meter (Check conversion here)
Bending moment in pulley's arm: 34500 Newton Millimeter --> 34.5 Newton Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N = 2*Mt/Mb --> 2*75/34.5
Evaluating ... ...
N = 4.34782608695652
STEP 3: Convert Result to Output's Unit
4.34782608695652 --> No Conversion Required
FINAL ANSWER
4.34782608695652 โ‰ˆ 4.347826 <-- Number of Arms in Pulley
(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad
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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

Number of Arms of Pulley given Bending Moment on Arm Formula

Number of Arms in Pulley = 2*Torque Transmitted by Pulley/Bending moment in pulley's arm
N = 2*Mt/Mb

Define Bending Moment?

In solid mechanics, a bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. The most common or simplest structural element subjected to bending moments is the beam.

How to Calculate Number of Arms of Pulley given Bending Moment on Arm?

Number of Arms of Pulley given Bending Moment on Arm calculator uses Number of Arms in Pulley = 2*Torque Transmitted by Pulley/Bending moment in pulley's arm to calculate the Number of Arms in Pulley, Number of Arms of Pulley given Bending Moment on Arm formula is defined as the number of arms of the pulley that are used for torque transmission. Number of Arms in Pulley is denoted by N symbol.

How to calculate Number of Arms of Pulley given Bending Moment on Arm using this online calculator? To use this online calculator for Number of Arms of Pulley given Bending Moment on Arm, enter Torque Transmitted by Pulley (Mt) & Bending moment in pulley's arm (Mb) and hit the calculate button. Here is how the Number of Arms of Pulley given Bending Moment on Arm calculation can be explained with given input values -> 4.347826 = 2*75/34.5.

FAQ

What is Number of Arms of Pulley given Bending Moment on Arm?
Number of Arms of Pulley given Bending Moment on Arm formula is defined as the number of arms of the pulley that are used for torque transmission and is represented as N = 2*Mt/Mb or Number of Arms in Pulley = 2*Torque Transmitted by Pulley/Bending moment in pulley's arm. Torque Transmitted by Pulley is the amount of torque transmitted by the pulley & 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.
How to calculate Number of Arms of Pulley given Bending Moment on Arm?
Number of Arms of Pulley given Bending Moment on Arm formula is defined as the number of arms of the pulley that are used for torque transmission is calculated using Number of Arms in Pulley = 2*Torque Transmitted by Pulley/Bending moment in pulley's arm. To calculate Number of Arms of Pulley given Bending Moment on Arm, you need Torque Transmitted by Pulley (Mt) & Bending moment in pulley's arm (Mb). With our tool, you need to enter the respective value for Torque Transmitted by Pulley & Bending moment in pulley's 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 moment in pulley's 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 = 16*Torque Transmitted by Pulley/(pi*Bending stress in pulley's arm*Minor Axis of Pulley Arm^3)
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