Radius of Rim of Pulley given Bending Moment Acting on Arm Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Rim of Pulley = Bending moment in pulley's arm/Tangential Force at End of Each Pulley Arm
R = Mb/P
This formula uses 3 Variables
Variables Used
Radius of Rim of Pulley - (Measured in Meter) - The Radius of Rim of Pulley is the radius of the rim (the upper or outer edge of an object, typically something circular or approximately circular) of 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.
Tangential Force at End of Each Pulley Arm - (Measured in Newton) - Tangential Force at End of Each Pulley Arm is the amount of force present or acting at the end of each arm of the pulley.
STEP 1: Convert Input(s) to Base Unit
Bending moment in pulley's arm: 34500 Newton Millimeter --> 34.5 Newton Meter (Check conversion here)
Tangential Force at End of Each Pulley Arm: 300 Newton --> 300 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = Mb/P --> 34.5/300
Evaluating ... ...
R = 0.115
STEP 3: Convert Result to Output's Unit
0.115 Meter -->115 Millimeter (Check conversion here)
FINAL ANSWER
115 Millimeter <-- Radius of Rim of Pulley
(Calculation completed in 00.004 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

Radius of Rim of Pulley given Bending Moment Acting on Arm Formula

Radius of Rim of Pulley = Bending moment in pulley's arm/Tangential Force at End of Each Pulley Arm
R = Mb/P

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 Radius of Rim of Pulley given Bending Moment Acting on Arm?

Radius of Rim of Pulley given Bending Moment Acting on Arm calculator uses Radius of Rim of Pulley = Bending moment in pulley's arm/Tangential Force at End of Each Pulley Arm to calculate the Radius of Rim of Pulley, Radius of Rim of Pulley given Bending Moment Acting on Arm formula is defined as the radius of the rim of the pulley which is used in the torque transmission. Radius of Rim of Pulley is denoted by R symbol.

How to calculate Radius of Rim of Pulley given Bending Moment Acting on Arm using this online calculator? To use this online calculator for Radius of Rim of Pulley given Bending Moment Acting on Arm, enter Bending moment in pulley's arm (Mb) & Tangential Force at End of Each Pulley Arm (P) and hit the calculate button. Here is how the Radius of Rim of Pulley given Bending Moment Acting on Arm calculation can be explained with given input values -> 115000 = 34.5/300.

FAQ

What is Radius of Rim of Pulley given Bending Moment Acting on Arm?
Radius of Rim of Pulley given Bending Moment Acting on Arm formula is defined as the radius of the rim of the pulley which is used in the torque transmission and is represented as R = Mb/P or Radius of Rim of Pulley = Bending moment in pulley's arm/Tangential Force at End of Each Pulley Arm. 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 & Tangential Force at End of Each Pulley Arm is the amount of force present or acting at the end of each arm of the pulley.
How to calculate Radius of Rim of Pulley given Bending Moment Acting on Arm?
Radius of Rim of Pulley given Bending Moment Acting on Arm formula is defined as the radius of the rim of the pulley which is used in the torque transmission is calculated using Radius of Rim of Pulley = Bending moment in pulley's arm/Tangential Force at End of Each Pulley Arm. To calculate Radius of Rim of Pulley given Bending Moment Acting on Arm, you need Bending moment in pulley's arm (Mb) & Tangential Force at End of Each Pulley Arm (P). With our tool, you need to enter the respective value for Bending moment in pulley's arm & Tangential Force at End of Each 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 Radius of Rim of Pulley?
In this formula, Radius of Rim of Pulley uses Bending moment in pulley's arm & Tangential Force at End of Each Pulley Arm. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Radius of Rim of Pulley = Torque Transmitted by Pulley/(Tangential Force at End of Each Pulley Arm*(Number of Arms in Pulley/2))
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