Bending Stress in Arm of Belt Driven Pulley Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bending stress in pulley's arm = Bending moment in pulley's arm*Minor Axis of Pulley Arm/Area moment of inertia of arms
σb = Mb*a/I
This formula uses 4 Variables
Variables Used
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.
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.
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.
Area moment of inertia of arms - (Measured in Meter⁴) - Area moment of inertia of arms is the measure of the resistance of the arms of a part its angular acceleration about a given axis without considering its mass.
STEP 1: Convert Input(s) to Base Unit
Bending moment in pulley's arm: 34500 Newton Millimeter --> 34.5 Newton Meter (Check conversion here)
Minor Axis of Pulley Arm: 13.66 Millimeter --> 0.01366 Meter (Check conversion here)
Area moment of inertia of arms: 17350 Millimeter⁴ --> 1.735E-08 Meter⁴ (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σb = Mb*a/I --> 34.5*0.01366/1.735E-08
Evaluating ... ...
σb = 27162536.0230548
STEP 3: Convert Result to Output's Unit
27162536.0230548 Pascal -->27.1625360230548 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
27.1625360230548 27.16254 Newton per Square Millimeter <-- Bending stress in pulley's arm
(Calculation completed in 00.020 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

Bending Stress in Arm of Belt Driven Pulley Formula

Bending stress in pulley's arm = Bending moment in pulley's arm*Minor Axis of Pulley Arm/Area moment of inertia of arms
σb = Mb*a/I

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 Bending Stress in Arm of Belt Driven Pulley?

Bending Stress in Arm of Belt Driven Pulley calculator uses Bending stress in pulley's arm = Bending moment in pulley's arm*Minor Axis of Pulley Arm/Area moment of inertia of arms to calculate the Bending stress in pulley's arm, Bending Stress in Arm of Belt Driven Pulley formula is defined as 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 in pulley's arm is denoted by σb symbol.

How to calculate Bending Stress in Arm of Belt Driven Pulley using this online calculator? To use this online calculator for Bending Stress in Arm of Belt Driven Pulley, enter Bending moment in pulley's arm (Mb), Minor Axis of Pulley Arm (a) & Area moment of inertia of arms (I) and hit the calculate button. Here is how the Bending Stress in Arm of Belt Driven Pulley calculation can be explained with given input values -> 2.7E-5 = 34.5*0.01366/1.735E-08.

FAQ

What is Bending Stress in Arm of Belt Driven Pulley?
Bending Stress in Arm of Belt Driven Pulley formula is defined as 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 and is represented as σb = Mb*a/I or Bending stress in pulley's arm = Bending moment in pulley's arm*Minor Axis of Pulley Arm/Area moment of inertia of arms. 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, Minor Axis of Pulley Arm is the length of the minor or the smallest axis of the elliptical cross-section of a pulley & Area moment of inertia of arms is the measure of the resistance of the arms of a part its angular acceleration about a given axis without considering its mass.
How to calculate Bending Stress in Arm of Belt Driven Pulley?
Bending Stress in Arm of Belt Driven Pulley formula is defined as 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 is calculated using Bending stress in pulley's arm = Bending moment in pulley's arm*Minor Axis of Pulley Arm/Area moment of inertia of arms. To calculate Bending Stress in Arm of Belt Driven Pulley, you need Bending moment in pulley's arm (Mb), Minor Axis of Pulley Arm (a) & Area moment of inertia of arms (I). With our tool, you need to enter the respective value for Bending moment in pulley's arm, Minor Axis of Pulley Arm & Area moment of inertia of arms 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 Bending stress in pulley's arm?
In this formula, Bending stress in pulley's arm uses Bending moment in pulley's arm, Minor Axis of Pulley Arm & Area moment of inertia of arms. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Bending stress in pulley's arm = 16*Torque Transmitted by Pulley/(pi*Number of Arms in Pulley*Minor Axis of Pulley Arm^3)
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