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Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress Formula

GoMinor Axis of Elliptical Cross-Section of Arm given Moment of Inertia of Arm Formula

GoMinor Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm Formula

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Minor Axis of Pulley Arm is the length of the minor or the smallest axis of the elliptical cross-section of a pulley. Check FAQs

a = {(16 \cdot \frac{M t}{π \cdot N pu \cdot σ b})}^{\frac{1}{3}}

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

Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress Example

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Here is how the Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress equation looks like with Values.

Here is how the Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress equation looks like with Units.

Here is how the Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress equation looks like.

14.7928 = {(16 \cdot \frac{75000}{3.1416 \cdot 4 \cdot 29.5})}^{\frac{1}{3}}

14.7928mm = {(16 \cdot \frac{75000N*mm}{3.1416 \cdot 4 \cdot 29.5N/mm²})}^{\frac{1}{3}}

14.7928 = {(16 \cdot \frac{75000}{3.1416 \cdot 4 \cdot 29.5})}^{\frac{1}{3}}

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Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress Solution

Follow our step by step solution on how to calculate Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress?

FIRST Step Consider the formula

a = {(16 \cdot \frac{M t}{π \cdot N pu \cdot σ b})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

a = {(16 \cdot \frac{75000N*mm}{π \cdot 4 \cdot 29.5N/mm²})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

a = {(16 \cdot \frac{75000N*mm}{3.1416 \cdot 4 \cdot 29.5N/mm²})}^{\frac{1}{3}}

Next Step Convert Units

∴

a = {(16 \cdot \frac{75N*m}{3.1416 \cdot 4 \cdot 3E+7Pa})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

a = {(16 \cdot \frac{75}{3.1416 \cdot 4 \cdot 3E+7})}^{\frac{1}{3}}

Next Step Evaluate

∴

a = 0.014792779668352m

Next Step Convert to Output's Unit

∴

a = 14.792779668352mm

LAST Step Rounding Answer

∴

a = 14.7928mm

Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress Formula Elements

Variables

Constants

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

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_pu

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Arms in 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

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 Minor Axis of Pulley Arm

Go Minor Axis of Elliptical Cross-Section of Arm given Moment of Inertia of Arm

a = 64 \cdot \frac{I}{π \cdot {b a}^{3}}

Go Minor Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm

a = {(8 \cdot \frac{I}{π})}^{\frac{1}{4}}

Go Minor Axis of Elliptical Cross-Section of Pulley's Arm given Bending Stress in Arm

a = 1.72 \cdot ({(\frac{M b}{2 \cdot σ b})}^{\frac{1}{3}})

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 Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress?

Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress evaluator uses Minor Axis of Pulley Arm = (16*Torque Transmitted by Pulley/(pi*Number of Arms in Pulley*Bending stress in pulley's arm))^(1/3) to evaluate the Minor Axis of Pulley Arm, The Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress formula is defined as the shortest axis of the elliptical cross-section of the arms of the pulley which is perpendicular to major axis. Minor Axis of Pulley Arm is denoted by a symbol.

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

FAQs on Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress

What is the formula to find Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress?

The formula of Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress is expressed as Minor Axis of Pulley Arm = (16*Torque Transmitted by Pulley/(pi*Number of Arms in Pulley*Bending stress in pulley's arm))^(1/3). Here is an example- 13979.1 = (16*88.8/(pi*4*34957000))^(1/3).

How to calculate Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress?

With Torque Transmitted by Pulley (M_t), Number of Arms in Pulley (N_pu) & Bending stress in pulley's arm (σ_b) we can find Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress using the formula - Minor Axis of Pulley Arm = (16*Torque Transmitted by Pulley/(pi*Number of Arms in Pulley*Bending stress in pulley's arm))^(1/3). This formula also uses Archimedes' constant .

What are the other ways to Calculate Minor Axis of Pulley Arm?

Here are the different ways to Calculate Minor Axis of Pulley Arm-

Minor Axis of Pulley Arm=64*Area Moment of Inertia of Arms/(pi*Major Axis of Pulley Arm^3)
Minor Axis of Pulley Arm=(8*Area Moment of Inertia of Arms/pi)^(1/4)
Minor Axis of Pulley Arm=1.72*((Bending Moment in Pulley's Arm/(2*Bending stress in pulley's arm))^(1/3))

Can the Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress be negative?

No, the Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress, measured in Length cannot be negative.

Which unit is used to measure Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress?

Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress can be measured.

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Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress Formula

​GoMinor Axis of Elliptical Cross-Section of Arm given Moment of Inertia of Arm Formula

​GoMinor Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm Formula

Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress Example

Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress Solution

Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress Formula Elements

Other Formulas to find Minor Axis of Pulley Arm

Other formulas in Arms of Cast Iron Pulley category

How to Evaluate Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress?

FAQs on Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress

Variable Name

GoMinor Axis of Elliptical Cross-Section of Arm given Moment of Inertia of Arm Formula

GoMinor Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm Formula