Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm Calculator

✖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.ⓘ Area Moment of Inertia of Arms [I]			+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%
✖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 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 on Arm of Belt Driven Pulley given Bending Stress in Arm [M_b]

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Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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 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.
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

Area Moment of Inertia of Arms: 17350 Millimeter⁴ --> 1.735E-08 Meter⁴ (Check conversion here)
Bending stress in pulley's arm: 29.5 Newton per Square Millimeter --> 29500000 Pascal (Check conversion here)
Minor Axis of Pulley Arm: 13.66 Millimeter --> 0.01366 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_b = I*σ_b/a --> 1.735E-08*29500000/0.01366

Evaluating ... ...

M_b = 37.4688872620791

STEP 3: Convert Result to Output's Unit

37.4688872620791 Newton Meter -->37468.8872620791 Newton Millimeter (Check conversion here)

FINAL ANSWER

37468.8872620791 ≈ 37468.89 Newton Millimeter <-- Bending Moment in Pulley's Arm

(Calculation completed in 00.004 seconds)

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< Arms of Cast Iron Pulley Calculators

Tangential Force at End of Each Arm of Pulley given Torque Transmitted by Pulley

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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 Formula

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

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 Moment on Arm of Belt Driven Pulley given Bending Stress in Arm?

Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm calculator uses Bending Moment in Pulley's Arm = Area Moment of Inertia of Arms*Bending stress in pulley's arm/Minor Axis of Pulley Arm to calculate the Bending Moment in Pulley's Arm, Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. Bending Moment in Pulley's Arm is denoted by M_b symbol.

How to calculate Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm using this online calculator? To use this online calculator for Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm, enter Area Moment of Inertia of Arms (I), Bending stress in pulley's arm (σ_b) & Minor Axis of Pulley Arm (a) and hit the calculate button. Here is how the Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm calculation can be explained with given input values -> 3.7E+7 = 1.735E-08*29500000/0.01366.

FAQ

What is Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm?

Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend and is represented as M_b = I*σ_b/a or Bending Moment in Pulley's Arm = Area Moment of Inertia of Arms*Bending stress in pulley's arm/Minor Axis of Pulley Arm. 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 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 & 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 Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm?

Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend is calculated using Bending Moment in Pulley's Arm = Area Moment of Inertia of Arms*Bending stress in pulley's arm/Minor Axis of Pulley Arm. To calculate Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm, you need Area Moment of Inertia of Arms (I), Bending stress in pulley's arm (σ_b) & Minor Axis of Pulley Arm (a). With our tool, you need to enter the respective value for Area Moment of Inertia of Arms, Bending stress in pulley's arm & 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 Bending Moment in Pulley's Arm?

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

Bending Moment in Pulley's Arm = Tangential Force at End of Each Pulley Arm*Radius of Rim of Pulley
Bending Moment in Pulley's Arm = 2*Torque Transmitted by Pulley/Number of Arms in Pulley

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