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Area Moment of Inertia for Piston Pin Cross Section Formula

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Area Moment of Inertia is defined as a moment about the centroidal axis without considering mass. Check FAQs

I A = π \cdot \frac{{d o}^{4} - {d i}^{4}}{64}

I_A - Area Moment of Inertia?d_o - Outer Diameter of Piston Pin?d_i - Inner Diameter of Piston Pin?π - Archimedes' constant?

Area Moment of Inertia for Piston Pin Cross Section Example

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Here is how the Area Moment of Inertia for Piston Pin Cross Section equation looks like with Values.

Here is how the Area Moment of Inertia for Piston Pin Cross Section equation looks like with Units.

Here is how the Area Moment of Inertia for Piston Pin Cross Section equation looks like.

4.1E-7 = 3.1416 \cdot \frac{{55.5}^{4} - {33.2}^{4}}{64}

4.1E-7m⁴ = 3.1416 \cdot \frac{{55.5mm}^{4} - {33.2mm}^{4}}{64}

4.1E-7 = 3.1416 \cdot \frac{{55.5}^{4} - {33.2}^{4}}{64}

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Area Moment of Inertia for Piston Pin Cross Section Solution

Follow our step by step solution on how to calculate Area Moment of Inertia for Piston Pin Cross Section?

FIRST Step Consider the formula

I A = π \cdot \frac{{d o}^{4} - {d i}^{4}}{64}

Next Step Substitute values of Variables

∴

I A = π \cdot \frac{{55.5mm}^{4} - {33.2mm}^{4}}{64}

Next Step Substitute values of Constants

∴

I A = 3.1416 \cdot \frac{{55.5mm}^{4} - {33.2mm}^{4}}{64}

Next Step Convert Units

∴

I A = 3.1416 \cdot \frac{{0.0555m}^{4} - {0.0332m}^{4}}{64}

Next Step Prepare to Evaluate

∴

I A = 3.1416 \cdot \frac{{0.0555}^{4} - {0.0332}^{4}}{64}

Next Step Evaluate

∴

I A = 4.06100283677413E-07m⁴

LAST Step Rounding Answer

∴

I A = 4.1E-7m⁴

Area Moment of Inertia for Piston Pin Cross Section Formula Elements

Variables

Constants

Area Moment of Inertia

Area Moment of Inertia is defined as a moment about the centroidal axis without considering mass.

Symbol: I_A

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Area Moment of Inertia

Outer Diameter of Piston Pin

Outer Diameter of Piston Pin is the diameter of the outer surface of a piston pin.

Symbol: d_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Piston Pin

Inner Diameter of Piston Pin

Inner Diameter of Piston Pin is the diameter of the inside surface of a piston pin.

Symbol: d_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Diameter of Piston Pin

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 Piston Pin category

Go Length of Piston Pin used in Connecting Rod

l 1 = 0.45 \cdot D i

Go Resisting Bearing Force by Piston Pin

F pin = p b c \cdot d o \cdot l 1

Go Outer Diameter of Piston Pin

d o = π \cdot {D i}^{2} \cdot \frac{p max}{4 \cdot p b c \cdot l 1}

Go Outer Diameter of Piston Pin given its Inner Diameter

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

How to Evaluate Area Moment of Inertia for Piston Pin Cross Section?

Area Moment of Inertia for Piston Pin Cross Section evaluator uses Area Moment of Inertia = pi*(Outer Diameter of Piston Pin^4-Inner Diameter of Piston Pin^4)/64 to evaluate the Area Moment of Inertia, Area moment of inertia for piston pin cross section is a property of a two-dimensional plane shape where it shows how its points are dispersed in an arbitrary axis in the cross-sectional plane. This property basically characterizes the deflection of the plane shape under some load. Area Moment of Inertia is denoted by I_A symbol.

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

FAQs on Area Moment of Inertia for Piston Pin Cross Section

What is the formula to find Area Moment of Inertia for Piston Pin Cross Section?

The formula of Area Moment of Inertia for Piston Pin Cross Section is expressed as Area Moment of Inertia = pi*(Outer Diameter of Piston Pin^4-Inner Diameter of Piston Pin^4)/64. Here is an example- 4.1E-7 = pi*(0.0555^4-0.0332^4)/64.

How to calculate Area Moment of Inertia for Piston Pin Cross Section?

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

Can the Area Moment of Inertia for Piston Pin Cross Section be negative?

No, the Area Moment of Inertia for Piston Pin Cross Section, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Area Moment of Inertia for Piston Pin Cross Section?

Area Moment of Inertia for Piston Pin Cross Section is usually measured using the Meter⁴[m⁴] for Second Moment of Area. Centimeter⁴[m⁴], Millimeter⁴[m⁴] are the few other units in which Area Moment of Inertia for Piston Pin Cross Section can be measured.

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Area Moment of Inertia for Piston Pin Cross Section Formula

Area Moment of Inertia for Piston Pin Cross Section Example

Area Moment of Inertia for Piston Pin Cross Section Solution

Area Moment of Inertia for Piston Pin Cross Section Formula Elements

Other formulas in Piston Pin category

How to Evaluate Area Moment of Inertia for Piston Pin Cross Section?

FAQs on Area Moment of Inertia for Piston Pin Cross Section

Variable Name