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

GoBending Moment on Arm of Belt Driven Pulley Formula

GoBending Moment on Arm of Belt Driven Pulley given Torque Transmitted by Pulley Formula

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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. Check FAQs

M b = I \cdot \frac{σ b}{a}

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

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

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Here is how the Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm equation looks like with Values.

Here is how the Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm equation looks like with Units.

Here is how the Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm equation looks like.

44399.9963 = 17350 \cdot \frac{34.957}{13.66}

44399.9963N*mm = 17350mm⁴ \cdot \frac{34.957N/mm²}{13.66mm}

44399.9963 = 17350 \cdot \frac{34.957}{13.66}

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

Follow our step by step solution on how to calculate Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm?

FIRST Step Consider the formula

M b = I \cdot \frac{σ b}{a}

Next Step Substitute values of Variables

∴

M b = 17350mm⁴ \cdot \frac{34.957N/mm²}{13.66mm}

Next Step Convert Units

∴

M b = 1.7E-8m⁴ \cdot \frac{3.5E+7Pa}{0.0137m}

Next Step Prepare to Evaluate

∴

M b = 1.7E-8 \cdot \frac{3.5E+7}{0.0137}

Next Step Evaluate

∴

M b = 44.3999963396779N*m

Next Step Convert to Output's Unit

∴

M b = 44399.9963396779N*mm

LAST Step Rounding Answer

∴

M b = 44399.9963N*mm

Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm Formula Elements

Variables

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

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 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

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

Other Formulas to find Bending Moment in Pulley's Arm

Go Bending Moment on Arm of Belt Driven Pulley

M b = P \cdot R

Go Bending Moment on Arm of Belt Driven Pulley given Torque Transmitted by Pulley

M b = 2 \cdot \frac{M t}{N pu}

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 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 evaluator 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 evaluate the Bending Moment in Pulley's Arm, Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm formula is defined as a measure of the internal moment that causes bending in the arm of a pulley, ensuring structural integrity under applied stresses. Bending Moment in Pulley's Arm is denoted by M_b symbol.

How to evaluate Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm?

The formula of Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm is expressed as Bending Moment in Pulley's Arm = Area Moment of Inertia of Arms*Bending stress in pulley's arm/Minor Axis of Pulley Arm. Here is an example- 4.4E+7 = 1.735E-08*34957000/0.01366.

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

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

What are the other ways to Calculate Bending Moment in Pulley's Arm?

Here are the different ways to Calculate Bending Moment in Pulley's Arm-

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

Can the Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm be negative?

No, the Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm, measured in Torque cannot be negative.

Which unit is used to measure 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 usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm can be measured.

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

​GoBending Moment on Arm of Belt Driven Pulley Formula

​GoBending Moment on Arm of Belt Driven Pulley given Torque Transmitted by Pulley Formula

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

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

Bending Moment on Arm of Belt Driven Pulley given Bending Stress in Arm Formula Elements

Other Formulas to find Bending Moment in Pulley's Arm

Other formulas in Arms of Cast Iron Pulley category

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

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

Variable Name

GoBending Moment on Arm of Belt Driven Pulley Formula

GoBending Moment on Arm of Belt Driven Pulley given Torque Transmitted by Pulley Formula