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Bending Stress in Arm of Belt Driven Pulley Formula

GoBending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley Formula

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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. Check FAQs

σ b = M b \cdot \frac{a}{I}

σ_b - Bending stress in pulley's arm?M_b - Bending moment in pulley's arm?a - Minor Axis of Pulley Arm?I - Area moment of inertia of arms?

Bending Stress in Arm of Belt Driven Pulley Example

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

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

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

27.1625 = 34500 \cdot \frac{13.66}{17350}

27.1625N/mm² = 34500N*mm \cdot \frac{13.66mm}{17350mm⁴}

27.1625 = 34500 \cdot \frac{13.66}{17350}

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Bending Stress in Arm of Belt Driven Pulley Solution

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

FIRST Step Consider the formula

σ b = M b \cdot \frac{a}{I}

Next Step Substitute values of Variables

∴

σ b = 34500N*mm \cdot \frac{13.66mm}{17350mm⁴}

Next Step Convert Units

∴

σ b = 34.5N*m \cdot \frac{0.0137m}{1.7E-8m⁴}

Next Step Prepare to Evaluate

∴

σ b = 34.5 \cdot \frac{0.0137}{1.7E-8}

Next Step Evaluate

∴

σ b = 27162536.0230548Pa

Next Step Convert to Output's Unit

∴

σ b = 27.1625360230548N/mm²

LAST Step Rounding Answer

∴

σ b = 27.1625N/mm²

Bending Stress in Arm of Belt Driven Pulley Formula Elements

Variables

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

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

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

Other Formulas to find Bending stress in pulley's arm

Go Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley

σ b = 16 \cdot \frac{M t}{π \cdot N \cdot a^{3}}

Other formulas in Arms of Cast Iron Pulley category

Go Torque Transmitted by Pulley

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

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

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

Go Radius of Rim of Pulley given Torque Transmitted by Pulley

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

Go Number of Arms of Pulley given Torque Transmitted by Pulley

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

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

Bending Stress in Arm of Belt Driven Pulley evaluator 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 evaluate 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 σ_b symbol.

How to evaluate Bending Stress in Arm of Belt Driven Pulley using this online evaluator? To use this online evaluator for Bending Stress in Arm of Belt Driven Pulley, enter Bending moment in pulley's arm (M_b), Minor Axis of Pulley Arm (a) & Area moment of inertia of arms (I) and hit the calculate button.

FAQs on Bending Stress in Arm of Belt Driven Pulley

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

The formula of Bending Stress in Arm of Belt Driven Pulley is expressed as Bending stress in pulley's arm = Bending moment in pulley's arm*Minor Axis of Pulley Arm/Area moment of inertia of arms. Here is an example- 2.7E-5 = 34.5*0.01366/1.735E-08.

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

With Bending moment in pulley's arm (M_b), Minor Axis of Pulley Arm (a) & Area moment of inertia of arms (I) we can find Bending Stress in Arm of Belt Driven Pulley using the formula - Bending stress in pulley's arm = Bending moment in pulley's arm*Minor Axis of Pulley Arm/Area moment of inertia of arms.

What are the other ways to Calculate Bending stress in pulley's arm?

Here are the different ways to Calculate Bending stress in pulley's arm-

Bending stress in pulley's arm=16*Torque Transmitted by Pulley/(pi*Number of Arms in Pulley*Minor Axis of Pulley Arm^3)

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

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

Which unit is used to measure Bending Stress in Arm of Belt Driven Pulley?

Bending Stress in Arm of Belt Driven Pulley is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Bending Stress in Arm of Belt Driven Pulley can be measured.

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Bending Stress in Arm of Belt Driven Pulley Formula

​GoBending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley Formula

Bending Stress in Arm of Belt Driven Pulley Example

Bending Stress in Arm of Belt Driven Pulley Solution

Bending Stress in Arm of Belt Driven Pulley Formula Elements

Other Formulas to find Bending stress in pulley's arm

Other formulas in Arms of Cast Iron Pulley category

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

FAQs on Bending Stress in Arm of Belt Driven Pulley

Variable Name

GoBending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley Formula