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

GoBending Stress in Arm of Belt Driven 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 = 16 \cdot \frac{M t}{π \cdot N \cdot a^{3}}

σ_b - Bending stress in pulley's arm?M_t - Torque Transmitted by Pulley?N - Number of Arms in Pulley?a - Minor Axis of Pulley Arm?π - Archimedes' constant?

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

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

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

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

37.4644 = 16 \cdot \frac{75000}{3.1416 \cdot 4 \cdot {13.66}^{3}}

37.4644N/mm² = 16 \cdot \frac{75000N*mm}{3.1416 \cdot 4 \cdot {13.66mm}^{3}}

37.4644 = 16 \cdot \frac{75000}{3.1416 \cdot 4 \cdot {13.66}^{3}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ b = 16 \cdot \frac{75000N*mm}{π \cdot 4 \cdot {13.66mm}^{3}}

Next Step Substitute values of Constants

∴

σ b = 16 \cdot \frac{75000N*mm}{3.1416 \cdot 4 \cdot {13.66mm}^{3}}

Next Step Convert Units

∴

σ b = 16 \cdot \frac{75N*m}{3.1416 \cdot 4 \cdot {0.0137m}^{3}}

Next Step Prepare to Evaluate

∴

σ b = 16 \cdot \frac{75}{3.1416 \cdot 4 \cdot {0.0137}^{3}}

Next Step Evaluate

∴

σ b = 37464443.332109Pa

Next Step Convert to Output's Unit

∴

σ b = 37.464443332109N/mm²

LAST Step Rounding Answer

∴

σ b = 37.4644N/mm²

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

Variables

Constants

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

Torque Transmitted by Pulley

Torque Transmitted by Pulley is the amount of torque transmitted by the pulley.

Symbol: M_t

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torque Transmitted by Pulley

Number of Arms in Pulley

Number of Arms in Pulley is the total number of central arms of a pulley.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Arms in Pulley

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Bending stress in pulley's arm

Go Bending Stress in Arm of Belt Driven Pulley

σ b = M b \cdot \frac{a}{I}

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 given Torque Transmitted by Pulley?

Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley evaluator uses Bending stress in pulley's arm = 16*Torque Transmitted by Pulley/(pi*Number of Arms in Pulley*Minor Axis of Pulley Arm^3) to evaluate the Bending stress in pulley's arm, Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley formula 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 stress in pulley's arm is denoted by σ_b symbol.

How to evaluate Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley using this online evaluator? To use this online evaluator for Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley, enter Torque Transmitted by Pulley (M_t), Number of Arms in Pulley (N) & Minor Axis of Pulley Arm (a) and hit the calculate button.

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

What is the formula to find Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley?

The formula of Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley is expressed as Bending stress in pulley's arm = 16*Torque Transmitted by Pulley/(pi*Number of Arms in Pulley*Minor Axis of Pulley Arm^3). Here is an example- 3.7E-5 = 16*75/(pi*4*0.01366^3).

How to calculate Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley?

With Torque Transmitted by Pulley (M_t), Number of Arms in Pulley (N) & Minor Axis of Pulley Arm (a) we can find Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley using the formula - Bending stress in pulley's arm = 16*Torque Transmitted by Pulley/(pi*Number of Arms in Pulley*Minor Axis of Pulley Arm^3). This formula also uses Archimedes' constant .

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=Bending moment in pulley's arm*Minor Axis of Pulley Arm/Area moment of inertia of arms

Can the Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley be negative?

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

Which unit is used to measure Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by Pulley?

Bending Stress in Arm of Belt Driven Pulley given Torque Transmitted by 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 given Torque Transmitted by Pulley can be measured.

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

​GoBending Stress in Arm of Belt Driven Pulley Formula

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

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

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

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

Variable Name

GoBending Stress in Arm of Belt Driven Pulley Formula