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Moment of Inertia of Cross Section of Engine Push Rod Formula

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Area moment of inertia of push rod is defined as the second moment of inertia of the cross-section of the push rod without considering mass. Check FAQs

I a = \frac{π}{64} \cdot ({d o}^{4} - {d i}^{4})

I_a - Area Moment of Inertia of Push Rod?d_o - Outer Diameter of Push Rod?d_i - Inner Diameter of Push Rod?π - Archimedes' constant?

Moment of Inertia of Cross Section of Engine Push Rod Example

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Here is how the Moment of Inertia of Cross Section of Engine Push Rod equation looks like with Values.

Here is how the Moment of Inertia of Cross Section of Engine Push Rod equation looks like with Units.

Here is how the Moment of Inertia of Cross Section of Engine Push Rod equation looks like.

289.8119 = \frac{3.1416}{64} \cdot (10^{4} - 8^{4})

289.8119mm⁴ = \frac{3.1416}{64} \cdot ({10mm}^{4} - {8mm}^{4})

289.8119 = \frac{3.1416}{64} \cdot (10^{4} - 8^{4})

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Moment of Inertia of Cross Section of Engine Push Rod Solution

Follow our step by step solution on how to calculate Moment of Inertia of Cross Section of Engine Push Rod?

FIRST Step Consider the formula

I a = \frac{π}{64} \cdot ({d o}^{4} - {d i}^{4})

Next Step Substitute values of Variables

∴

I a = \frac{π}{64} \cdot ({10mm}^{4} - {8mm}^{4})

Next Step Substitute values of Constants

∴

I a = \frac{3.1416}{64} \cdot ({10mm}^{4} - {8mm}^{4})

Next Step Convert Units

∴

I a = \frac{3.1416}{64} \cdot ({0.01m}^{4} - {0.008m}^{4})

Next Step Prepare to Evaluate

∴

I a = \frac{3.1416}{64} \cdot ({0.01}^{4} - {0.008}^{4})

Next Step Evaluate

∴

I a = 2.89811922293658E-10m⁴

Next Step Convert to Output's Unit

∴

I a = 289.811922293658mm⁴

LAST Step Rounding Answer

∴

I a = 289.8119mm⁴

Moment of Inertia of Cross Section of Engine Push Rod Formula Elements

Variables

Constants

Area Moment of Inertia of Push Rod

Area moment of inertia of push rod is defined as the second moment of inertia of the cross-section of the push rod without considering mass.

Symbol: I_a

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Area Moment of Inertia of Push Rod

Outer Diameter of Push Rod

Outer Diameter of Push Rod is the external diameter or the outside surface diameter of the push rod.

Symbol: d_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Push Rod

Inner Diameter of Push Rod

Inner Diameter of Push Rod is the internal diameter or the inside surface diameter of the push rod.

Symbol: d_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Diameter of Push Rod

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 in Push Rod category

Go Minimum Inner Diameter of Engine Push Rod given Outer Diameter

d i = 0.6 \cdot d o

Go Maximum Inner Diameter of Engine Push Rod given Outer Diameter

d i = 0.8 \cdot d o

Go Maximum Outer Diameter of Engine Push Rod given Inner Diameter

d o = \frac{d i}{0.6}

Go Minimum Outer Diameter of Engine Push Rod given Inner Diameter

d o = \frac{d i}{0.8}

How to Evaluate Moment of Inertia of Cross Section of Engine Push Rod?

Moment of Inertia of Cross Section of Engine Push Rod evaluator uses Area Moment of Inertia of Push Rod = pi/64*(Outer Diameter of Push Rod^4-Inner Diameter of Push Rod^4) to evaluate the Area Moment of Inertia of Push Rod, Moment of inertia of cross section of engine push rod is defined as moment of inertia of the cross-sectional area about the centroidal axis without considering mass. Area Moment of Inertia of Push Rod is denoted by I_a symbol.

How to evaluate Moment of Inertia of Cross Section of Engine Push Rod using this online evaluator? To use this online evaluator for Moment of Inertia of Cross Section of Engine Push Rod, enter Outer Diameter of Push Rod (d_o) & Inner Diameter of Push Rod (d_i) and hit the calculate button.

FAQs on Moment of Inertia of Cross Section of Engine Push Rod

What is the formula to find Moment of Inertia of Cross Section of Engine Push Rod?

The formula of Moment of Inertia of Cross Section of Engine Push Rod is expressed as Area Moment of Inertia of Push Rod = pi/64*(Outer Diameter of Push Rod^4-Inner Diameter of Push Rod^4). Here is an example- 3.7E+14 = pi/64*(0.01^4-0.008^4).

How to calculate Moment of Inertia of Cross Section of Engine Push Rod?

With Outer Diameter of Push Rod (d_o) & Inner Diameter of Push Rod (d_i) we can find Moment of Inertia of Cross Section of Engine Push Rod using the formula - Area Moment of Inertia of Push Rod = pi/64*(Outer Diameter of Push Rod^4-Inner Diameter of Push Rod^4). This formula also uses Archimedes' constant .

Can the Moment of Inertia of Cross Section of Engine Push Rod be negative?

No, the Moment of Inertia of Cross Section of Engine Push Rod, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Inertia of Cross Section of Engine Push Rod?

Moment of Inertia of Cross Section of Engine Push Rod is usually measured using the Millimeter⁴[mm⁴] for Second Moment of Area. Meter⁴[mm⁴], Centimeter⁴[mm⁴] are the few other units in which Moment of Inertia of Cross Section of Engine Push Rod can be measured.

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Moment of Inertia of Cross Section of Engine Push Rod Formula

Moment of Inertia of Cross Section of Engine Push Rod Example

Moment of Inertia of Cross Section of Engine Push Rod Solution

Moment of Inertia of Cross Section of Engine Push Rod Formula Elements

Other formulas in Push Rod category

How to Evaluate Moment of Inertia of Cross Section of Engine Push Rod?

FAQs on Moment of Inertia of Cross Section of Engine Push Rod

Variable Name