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Torque Transmitted by Pulley given Bending Stress in Arm Formula

GoTorque Transmitted by Pulley Formula

GoTorque Transmitted by Pulley given Bending Moment on Arm Formula

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

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

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

Torque Transmitted by Pulley given Bending Stress in Arm Example

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

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

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

69980.3538 = 34.957 \cdot \frac{3.1416 \cdot 4 \cdot {13.66}^{3}}{16}

69980.3538N*mm = 34.957N/mm² \cdot \frac{3.1416 \cdot 4 \cdot {13.66mm}^{3}}{16}

69980.3538 = 34.957 \cdot \frac{3.1416 \cdot 4 \cdot {13.66}^{3}}{16}

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Torque Transmitted by Pulley given Bending Stress in Arm Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M t = 34.957N/mm² \cdot \frac{π \cdot 4 \cdot {13.66mm}^{3}}{16}

Next Step Substitute values of Constants

∴

M t = 34.957N/mm² \cdot \frac{3.1416 \cdot 4 \cdot {13.66mm}^{3}}{16}

Next Step Convert Units

∴

M t = 3.5E+7Pa \cdot \frac{3.1416 \cdot 4 \cdot {0.0137m}^{3}}{16}

Next Step Prepare to Evaluate

∴

M t = 3.5E+7 \cdot \frac{3.1416 \cdot 4 \cdot {0.0137}^{3}}{16}

Next Step Evaluate

∴

M t = 69.9803538186567N*m

Next Step Convert to Output's Unit

∴

M t = 69980.3538186567N*mm

LAST Step Rounding Answer

∴

M t = 69980.3538N*mm

Torque Transmitted by Pulley given Bending Stress in Arm Formula Elements

Variables

Constants

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

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

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 Torque Transmitted by Pulley

Go Torque Transmitted by Pulley

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

Go Torque Transmitted by Pulley given Bending Moment on Arm

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

Other formulas in Arms of Cast Iron Pulley category

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}

Go Bending Moment on Arm of Belt Driven Pulley

M b = P \cdot R

How to Evaluate Torque Transmitted by Pulley given Bending Stress in Arm?

Torque Transmitted by Pulley given Bending Stress in Arm evaluator uses Torque Transmitted by Pulley = Bending stress in pulley's arm*(pi*Number of Arms in Pulley*Minor Axis of Pulley Arm^3)/16 to evaluate the Torque Transmitted by Pulley, Torque Transmitted by Pulley given Bending Stress in Arm formula is defined as a measure of the torque capacity of a pulley arm based on the bending stress it can withstand, ensuring safe and efficient operation in mechanical systems. Torque Transmitted by Pulley is denoted by M_t symbol.

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

FAQs on Torque Transmitted by Pulley given Bending Stress in Arm

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

The formula of Torque Transmitted by Pulley given Bending Stress in Arm is expressed as Torque Transmitted by Pulley = Bending stress in pulley's arm*(pi*Number of Arms in Pulley*Minor Axis of Pulley Arm^3)/16. Here is an example- 7E+7 = 34957000*(pi*4*0.01366^3)/16.

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

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

What are the other ways to Calculate Torque Transmitted by Pulley?

Here are the different ways to Calculate Torque Transmitted by Pulley-

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*Number of Arms in Pulley/2

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

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

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

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

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Torque Transmitted by Pulley given Bending Stress in Arm Formula

​GoTorque Transmitted by Pulley Formula

​GoTorque Transmitted by Pulley given Bending Moment on Arm Formula

Torque Transmitted by Pulley given Bending Stress in Arm Example

Torque Transmitted by Pulley given Bending Stress in Arm Solution

Torque Transmitted by Pulley given Bending Stress in Arm Formula Elements

Other Formulas to find Torque Transmitted by Pulley

Other formulas in Arms of Cast Iron Pulley category

How to Evaluate Torque Transmitted by Pulley given Bending Stress in Arm?

FAQs on Torque Transmitted by Pulley given Bending Stress in Arm

Variable Name

GoTorque Transmitted by Pulley Formula

GoTorque Transmitted by Pulley given Bending Moment on Arm Formula