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Number of Arms of Pulley given Bending Stress in Arm Formula

GoNumber of Arms of Pulley given Torque Transmitted by Pulley Formula

GoNumber of Arms of Pulley given Bending Moment on Arm Formula

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

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

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

Number of Arms of Pulley given Bending Stress in Arm Example

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Here is how the Number of Arms of Pulley given Bending Stress in Arm equation looks like with Values.

Here is how the Number of Arms of Pulley given Bending Stress in Arm equation looks like with Units.

Here is how the Number of Arms of Pulley given Bending Stress in Arm equation looks like.

5.0799 = 16 \cdot \frac{75000}{3.1416 \cdot 29.5 \cdot {13.66}^{3}}

5.0799 = 16 \cdot \frac{75000N*mm}{3.1416 \cdot 29.5N/mm² \cdot {13.66mm}^{3}}

5.0799 = 16 \cdot \frac{75000}{3.1416 \cdot 29.5 \cdot {13.66}^{3}}

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Number of Arms of Pulley given Bending Stress in Arm Solution

Follow our step by step solution on how to calculate Number of Arms of Pulley given Bending Stress in Arm?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N pu = 16 \cdot \frac{75000N*mm}{π \cdot 29.5N/mm² \cdot {13.66mm}^{3}}

Next Step Substitute values of Constants

∴

N pu = 16 \cdot \frac{75000N*mm}{3.1416 \cdot 29.5N/mm² \cdot {13.66mm}^{3}}

Next Step Convert Units

∴

N pu = 16 \cdot \frac{75N*m}{3.1416 \cdot 3E+7Pa \cdot {0.0137m}^{3}}

Next Step Prepare to Evaluate

∴

N pu = 16 \cdot \frac{75}{3.1416 \cdot 3E+7 \cdot {0.0137}^{3}}

Next Step Evaluate

∴

N pu = 5.079924519608

LAST Step Rounding Answer

∴

N pu = 5.0799

Number of Arms of Pulley given Bending Stress in Arm Formula Elements

Variables

Constants

Number of Arms in Pulley

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

Symbol: N_pu

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Arms in Pulley

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

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

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 Number of Arms in Pulley

Go Number of Arms of Pulley given Torque Transmitted by Pulley

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

Go Number of Arms of Pulley given Bending Moment on Arm

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

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 Bending Moment on Arm of Belt Driven Pulley

M b = P \cdot R

How to Evaluate Number of Arms of Pulley given Bending Stress in Arm?

Number of Arms of Pulley given Bending Stress in Arm evaluator uses Number of Arms in Pulley = 16*Torque Transmitted by Pulley/(pi*Bending stress in pulley's arm*Minor Axis of Pulley Arm^3) to evaluate the Number of Arms in Pulley, The Number of Arms of Pulley given Bending Stress in Arm formula is defined as the calculation of the number of arms present in the pulley that is used for torque transmission. Number of Arms in Pulley is denoted by N_pu symbol.

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

FAQs on Number of Arms of Pulley given Bending Stress in Arm

What is the formula to find Number of Arms of Pulley given Bending Stress in Arm?

The formula of Number of Arms of Pulley given Bending Stress in Arm is expressed as Number of Arms in Pulley = 16*Torque Transmitted by Pulley/(pi*Bending stress in pulley's arm*Minor Axis of Pulley Arm^3). Here is an example- 4.286917 = 16*88.8/(pi*34957000*0.01366^3).

How to calculate Number of Arms of Pulley given Bending Stress in Arm?

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

What are the other ways to Calculate Number of Arms in Pulley?

Here are the different ways to Calculate Number of Arms in Pulley-

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

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Number of Arms of Pulley given Bending Stress in Arm Formula

​GoNumber of Arms of Pulley given Torque Transmitted by Pulley Formula

​GoNumber of Arms of Pulley given Bending Moment on Arm Formula

Number of Arms of Pulley given Bending Stress in Arm Example

Number of Arms of Pulley given Bending Stress in Arm Solution

Number of Arms of Pulley given Bending Stress in Arm Formula Elements

Other Formulas to find Number of Arms in Pulley

Other formulas in Arms of Cast Iron Pulley category

How to Evaluate Number of Arms of Pulley given Bending Stress in Arm?

FAQs on Number of Arms of Pulley given Bending Stress in Arm

Variable Name

GoNumber of Arms of Pulley given Torque Transmitted by Pulley Formula

GoNumber of Arms of Pulley given Bending Moment on Arm Formula