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Minor Axis of Elliptical Cross-Section of Pulley's Arm given Bending Stress in Arm 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 = 1.72 \cdot ({(\frac{M b}{2 \cdot σ b})}^{\frac{1}{3}})

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

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

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

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

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

14.383 = 1.72 \cdot ({(\frac{34500}{2 \cdot 29.5})}^{\frac{1}{3}})

14.383mm = 1.72 \cdot ({(\frac{34500N*mm}{2 \cdot 29.5N/mm²})}^{\frac{1}{3}})

14.383 = 1.72 \cdot ({(\frac{34500}{2 \cdot 29.5})}^{\frac{1}{3}})

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a = 1.72 \cdot ({(\frac{34500N*mm}{2 \cdot 29.5N/mm²})}^{\frac{1}{3}})

Next Step Convert Units

∴

a = 1.72 \cdot ({(\frac{34.5N*m}{2 \cdot 3E+7Pa})}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

a = 1.72 \cdot ({(\frac{34.5}{2 \cdot 3E+7})}^{\frac{1}{3}})

Next Step Evaluate

∴

a = 0.0143830439675777m

Next Step Convert to Output's Unit

∴

a = 14.3830439675777mm

LAST Step Rounding Answer

∴

a = 14.383mm

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

Variables

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

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

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

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 Torque and Bending Stress

a = {(16 \cdot \frac{M t}{π \cdot N pu \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 Bending Stress in Arm?

Minor Axis of Elliptical Cross-Section of Pulley's Arm given Bending Stress in Arm evaluator uses Minor Axis of Pulley Arm = 1.72*((Bending moment in pulley's arm/(2*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 Bending Stress in Arm formula is defined as the measurement of the shortest axis of the elliptical cross-section of the arm of the pulley. Minor Axis of Pulley Arm is denoted by a symbol.

How to evaluate Minor Axis of Elliptical Cross-Section of Pulley's Arm given Bending Stress in Arm using this online evaluator? To use this online evaluator for Minor Axis of Elliptical Cross-Section of Pulley's Arm given Bending Stress in Arm, enter Bending moment in pulley's arm (M_b) & 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 Bending Stress in Arm

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

The formula of Minor Axis of Elliptical Cross-Section of Pulley's Arm given Bending Stress in Arm is expressed as Minor Axis of Pulley Arm = 1.72*((Bending moment in pulley's arm/(2*Bending stress in pulley's arm))^(1/3)). Here is an example- 15644.88 = 1.72*((44.4/(2*34957000))^(1/3)).

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

With Bending moment in pulley's arm (M_b) & Bending stress in pulley's arm (σ_b) we can find Minor Axis of Elliptical Cross-Section of Pulley's Arm given Bending Stress in Arm using the formula - Minor Axis of Pulley Arm = 1.72*((Bending moment in pulley's arm/(2*Bending stress in pulley's arm))^(1/3)).

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=(16*Torque Transmitted by Pulley/(pi*Number of Arms in Pulley*Bending stress in pulley's arm))^(1/3)

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

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

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

Minor Axis of Elliptical Cross-Section of Pulley's Arm given Bending Stress in Arm 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 Bending Stress in Arm can be measured.

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

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

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

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

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