Moment of Inertia of Pulley's Arm given Bending Stress in Arm Calculator

✖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.ⓘ Bending Moment in Pulley's Arm [M_b]			+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%
✖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%

✖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.ⓘ Moment of Inertia of Pulley's Arm given Bending Stress in Arm [I]

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Moment of Inertia of Pulley's Arm given Bending Stress in Arm Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area Moment of Inertia of Arms = Bending Moment in Pulley's Arm*Minor Axis of Pulley Arm/Bending stress in pulley's arm
I = M_b*a/σ_b
This formula uses 4 Variables

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Bending Moment in Pulley's Arm: 44400 Newton Millimeter --> 44.4 Newton Meter (Check conversion here)
Minor Axis of Pulley Arm: 13.66 Millimeter --> 0.01366 Meter (Check conversion here)
Bending stress in pulley's arm: 34.957 Newton per Square Millimeter --> 34957000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = M_b*a/σ_b --> 44.4*0.01366/34957000

Evaluating ... ...

I = 1.73500014303287E-08

STEP 3: Convert Result to Output's Unit

1.73500014303287E-08 Meter⁴ -->17350.0014303287 Millimeter⁴ (Check conversion here)

FINAL ANSWER

17350.0014303287 ≈ 17350 Millimeter⁴ <-- Area Moment of Inertia of Arms

(Calculation completed in 00.004 seconds)

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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

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)

Moment of Inertia of Pulley's Arm given Bending Stress in Arm Formula

Area Moment of Inertia of Arms = Bending Moment in Pulley's Arm*Minor Axis of Pulley Arm/Bending stress in pulley's arm
I = M_b*a/σ_b

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 Moment of Inertia of Pulley's Arm given Bending Stress in Arm?

Moment of Inertia of Pulley's Arm given Bending Stress in Arm calculator uses Area Moment of Inertia of Arms = Bending Moment in Pulley's Arm*Minor Axis of Pulley Arm/Bending stress in pulley's arm to calculate the Area Moment of Inertia of Arms, The Moment of Inertia of Pulley's Arm given Bending Stress in Arm formula is defined as the tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation. Area Moment of Inertia of Arms is denoted by I symbol.

How to calculate Moment of Inertia of Pulley's Arm given Bending Stress in Arm using this online calculator? To use this online calculator for Moment of Inertia of Pulley's Arm given Bending Stress in Arm, enter Bending Moment in Pulley's Arm (M_b), Minor Axis of Pulley Arm (a) & Bending stress in pulley's arm (σ_b) and hit the calculate button. Here is how the Moment of Inertia of Pulley's Arm given Bending Stress in Arm calculation can be explained with given input values -> 2.1E+16 = 44.4*0.01366/34957000.

FAQ

What is Moment of Inertia of Pulley's Arm given Bending Stress in Arm?

The Moment of Inertia of Pulley's Arm given Bending Stress in Arm formula is defined as the tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation and is represented as I = M_b*a/σ_b or Area Moment of Inertia of Arms = Bending Moment in Pulley's Arm*Minor Axis of Pulley Arm/Bending stress in pulley's 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, Minor Axis of Pulley Arm is the length of the minor or the smallest axis of the elliptical cross-section of a pulley & 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.

How to calculate Moment of Inertia of Pulley's Arm given Bending Stress in Arm?

The Moment of Inertia of Pulley's Arm given Bending Stress in Arm formula is defined as the tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation is calculated using Area Moment of Inertia of Arms = Bending Moment in Pulley's Arm*Minor Axis of Pulley Arm/Bending stress in pulley's arm. To calculate Moment of Inertia of Pulley's Arm given Bending Stress in Arm, you need Bending Moment in Pulley's Arm (M_b), Minor Axis of Pulley Arm (a) & Bending stress in pulley's arm (σ_b). With our tool, you need to enter the respective value for Bending Moment in Pulley's Arm, Minor Axis of Pulley Arm & Bending stress 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 Area Moment of Inertia of Arms?

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

Area Moment of Inertia of Arms = (pi*Minor Axis of Pulley Arm*Major Axis of Pulley Arm^3)/64
Area Moment of Inertia of Arms = pi*Minor Axis of Pulley Arm^4/8

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