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

✖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.ⓘ Bending moment in pulley's arm [M_b]			+10% -10%
✖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.ⓘ Bending stress in pulley's arm [σ_b]			+10% -10%

✖Minor Axis of Pulley Arm is the length of the minor or the smallest axis of the elliptical cross-section of a pulley.ⓘ Minor Axis of Elliptical Cross-Section of Pulley's Arm given Bending Stress in Arm [a]

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Formula

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

Formula

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

Example

14.38304 mm = 1.72 \cdot ({(\frac{34500 N*mm}{2 \cdot 29.5 N/mm²})}^{\frac{1}{3}})

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

STEP 0: Pre-Calculation Summary

Formula Used

Minor Axis of Pulley Arm = 1.72*((Bending moment in pulley's arm/(2*Bending stress in pulley's arm))^(1/3))
a = 1.72*((M_b/(2*σ_b))^(1/3))
This formula uses 3 Variables

Variables Used

Minor Axis of Pulley Arm - (Measured in Meter) - Minor Axis of Pulley Arm is the length of the minor or the smallest axis of the elliptical cross-section of a pulley.
Bending moment in pulley's arm - (Measured in Newton Meter) - 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.
Bending stress in pulley's arm - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Bending moment in pulley's arm: 34500 Newton Millimeter --> 34.5 Newton Meter (Check conversion here)
Bending stress in pulley's arm: 29.5 Newton per Square Millimeter --> 29500000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = 1.72*((M_b/(2*σ_b))^(1/3)) --> 1.72*((34.5/(2*29500000))^(1/3))

Evaluating ... ...

a = 0.0143830439675777

STEP 3: Convert Result to Output's Unit

0.0143830439675777 Meter -->14.3830439675777 Millimeter (Check conversion here)

FINAL ANSWER

14.3830439675777 ≈ 14.38304 Millimeter <-- Minor Axis of Pulley Arm

(Calculation completed in 00.004 seconds)

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< Arms of Cast Iron Pulley Calculators

Tangential Force at End of Each Arm of Pulley given Torque Transmitted by Pulley

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

Radius of Rim of Pulley given Torque Transmitted by Pulley

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

Number of Arms of Pulley given Torque Transmitted by Pulley

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

Torque Transmitted by Pulley

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

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

Minor Axis of Pulley Arm = 1.72*((Bending moment in pulley's arm/(2*Bending stress in pulley's arm))^(1/3))
a = 1.72*((M_b/(2*σ_b))^(1/3))

Define Bending Stress?

Bending stress is the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. Bending stress occurs when operating industrial equipment and in concrete and metallic structures when they are subjected to a tensile load.

How to Calculate 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 calculator uses Minor Axis of Pulley Arm = 1.72*((Bending moment in pulley's arm/(2*Bending stress in pulley's arm))^(1/3)) to calculate the Minor Axis of Pulley Arm, Minor Axis of Elliptical Cross-Section of Pulley's Arm given Bending Stress in Arm formula is defined as 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 calculate Minor Axis of Elliptical Cross-Section of Pulley's Arm given Bending Stress in Arm using this online calculator? To use this online calculator 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. Here is how the Minor Axis of Elliptical Cross-Section of Pulley's Arm given Bending Stress in Arm calculation can be explained with given input values -> 14383.04 = 1.72*((34.5/(2*29500000))^(1/3)).

FAQ

What is 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 formula is defined as the shortest axis of the elliptical cross-section of the arm of the pulley and is represented as a = 1.72*((M_b/(2*σ_b))^(1/3)) or Minor Axis of Pulley Arm = 1.72*((Bending moment in pulley's arm/(2*Bending stress in pulley's arm))^(1/3)). 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 & 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.

How to calculate 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 formula is defined as the shortest axis of the elliptical cross-section of the arm of the pulley is calculated using Minor Axis of Pulley Arm = 1.72*((Bending moment in pulley's arm/(2*Bending stress in pulley's arm))^(1/3)). To calculate Minor Axis of Elliptical Cross-Section of Pulley's Arm given Bending Stress in Arm, you need Bending moment in pulley's arm (M_b) & Bending stress in pulley's arm (σ_b). With our tool, you need to enter the respective value for Bending moment in pulley's arm & Bending stress in pulley's arm and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Minor Axis of Pulley Arm?

In this formula, Minor Axis of Pulley Arm uses Bending moment in pulley's arm & Bending stress in pulley's arm. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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