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

GoMoment of Inertia of Pulley's Arm Formula

GoMoment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm Formula

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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. Check FAQs

I = M b \cdot \frac{a}{σ b}

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

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

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Here is how the Moment of Inertia of Pulley's Arm given Bending Stress in Arm equation looks like with Values.

Here is how the Moment of Inertia of Pulley's Arm given Bending Stress in Arm equation looks like with Units.

Here is how the Moment of Inertia of Pulley's Arm given Bending Stress in Arm equation looks like.

17350.0014 = 44400 \cdot \frac{13.66}{34.957}

17350.0014mm⁴ = 44400N*mm \cdot \frac{13.66mm}{34.957N/mm²}

17350.0014 = 44400 \cdot \frac{13.66}{34.957}

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

Follow our step by step solution on how to calculate Moment of Inertia of Pulley's Arm given Bending Stress in Arm?

FIRST Step Consider the formula

I = M b \cdot \frac{a}{σ b}

Next Step Substitute values of Variables

∴

I = 44400N*mm \cdot \frac{13.66mm}{34.957N/mm²}

Next Step Convert Units

∴

I = 44.4N*m \cdot \frac{0.0137m}{3.5E+7Pa}

Next Step Prepare to Evaluate

∴

I = 44.4 \cdot \frac{0.0137}{3.5E+7}

Next Step Evaluate

∴

I = 1.73500014303287E-08m⁴

Next Step Convert to Output's Unit

∴

I = 17350.0014303287mm⁴

LAST Step Rounding Answer

∴

I = 17350.0014mm⁴

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

Variables

Area Moment of Inertia of Arms

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.

Symbol: I

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Area Moment of Inertia of Arms

Bending Moment 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.

Symbol: M_b

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Bending Moment in Pulley's Arm

Minor Axis of Pulley Arm

Minor Axis of Pulley Arm is the length of the minor or the smallest axis of the elliptical cross-section of a pulley.

Symbol: a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Minor Axis of Pulley Arm

Bending stress in pulley's arm

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.

Symbol: σ_b

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending stress in pulley's arm

Other Formulas to find Area Moment of Inertia of Arms

Go Moment of Inertia of Pulley's Arm

I = \frac{π \cdot a \cdot {b a}^{3}}{64}

Go Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm

I = π \cdot \frac{a^{4}}{8}

Other formulas in Arms of Cast Iron Pulley category

Go Torque Transmitted by Pulley

M t = P \cdot R \cdot (\frac{N pu}{2})

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

P = \frac{M t}{R \cdot (\frac{N pu}{2})}

Go Radius of Rim of Pulley given Torque Transmitted by Pulley

R = \frac{M t}{P \cdot (\frac{N pu}{2})}

Go Number of Arms of Pulley given Torque Transmitted by Pulley

N pu = 2 \cdot \frac{M t}{P \cdot R}

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

Moment of Inertia of Pulley's Arm given Bending Stress in Arm evaluator 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 evaluate the Area Moment of Inertia of Arms, Moment of Inertia of Pulley's Arm given Bending Stress in Arm formula is defined as a measure of an arm's resistance to bending under applied loads, crucial for ensuring the structural integrity and performance of pulley systems in mechanical design. Area Moment of Inertia of Arms is denoted by I symbol.

How to evaluate Moment of Inertia of Pulley's Arm given Bending Stress in Arm using this online evaluator? To use this online evaluator 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.

FAQs on Moment of Inertia of Pulley's Arm given Bending Stress in Arm

What is the formula to find Moment of Inertia of Pulley's Arm given Bending Stress in Arm?

The formula of Moment of Inertia of Pulley's Arm given Bending Stress in Arm is expressed as Area Moment of Inertia of Arms = Bending Moment in Pulley's Arm*Minor Axis of Pulley Arm/Bending stress in pulley's arm. Here is an example- 2.1E+16 = 44.4*0.01366/34957000.

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

With Bending Moment in Pulley's Arm (M_b), Minor Axis of Pulley Arm (a) & Bending stress in pulley's arm (σ_b) we can find Moment of Inertia of Pulley's Arm given Bending Stress in Arm using the formula - Area Moment of Inertia of Arms = Bending Moment in Pulley's Arm*Minor Axis of Pulley Arm/Bending stress in pulley's arm.

What are the other ways to Calculate Area Moment of Inertia of Arms?

Here are the different ways to Calculate Area Moment of Inertia of Arms-

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

Can the Moment of Inertia of Pulley's Arm given Bending Stress in Arm be negative?

No, the Moment of Inertia of Pulley's Arm given Bending Stress in Arm, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Inertia of Pulley's Arm given Bending Stress in Arm?

Moment of Inertia of Pulley's Arm given Bending Stress in Arm is usually measured using the Millimeter⁴[mm⁴] for Second Moment of Area. Meter⁴[mm⁴], Centimeter⁴[mm⁴] are the few other units in which Moment of Inertia of Pulley's Arm given Bending Stress in Arm can be measured.

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

​GoMoment of Inertia of Pulley's Arm Formula

​GoMoment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm Formula

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

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

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

Other Formulas to find Area Moment of Inertia of Arms

Other formulas in Arms of Cast Iron Pulley category

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

FAQs on Moment of Inertia of Pulley's Arm given Bending Stress in Arm

Variable Name

GoMoment of Inertia of Pulley's Arm Formula

GoMoment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm Formula