Area Moment of Inertia for Piston Pin Cross Section Calculator

✖Outer diameter of piston pin is the diameter of the outer surface of a piston pin.ⓘ Outer Diameter of Piston Pin [d_o]			+10% -10%
✖Inner diameter of piston pin is the diameter of the inside surface of a piston pin.ⓘ Inner Diameter of Piston Pin [d_i]			+10% -10%

✖Area Moment of Inertia is defined as a moment about the centroidal axis without considering mass.ⓘ Area Moment of Inertia for Piston Pin Cross Section [I_A]

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Formula

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Area Moment of Inertia for Piston Pin Cross Section

Formula

`"I"_{"A"} = pi*("d"_{"o"}^4-"d"_{"i"}^4)/64`

Example

`"406100.3mm⁴"=pi*(("55.5mm")^4-("33.2mm")^4)/64`

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Area Moment of Inertia for Piston Pin Cross Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area Moment of Inertia = pi*(Outer Diameter of Piston Pin^4-Inner Diameter of Piston Pin^4)/64
I_A = pi*(d_o^4-d_i^4)/64
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Area Moment of Inertia - (Measured in Meter⁴) - Area Moment of Inertia is defined as a moment about the centroidal axis without considering mass.
Outer Diameter of Piston Pin - (Measured in Meter) - Outer diameter of piston pin is the diameter of the outer surface of a piston pin.
Inner Diameter of Piston Pin - (Measured in Meter) - Inner diameter of piston pin is the diameter of the inside surface of a piston pin.

STEP 1: Convert Input(s) to Base Unit

Outer Diameter of Piston Pin: 55.5 Millimeter --> 0.0555 Meter (Check conversion here)
Inner Diameter of Piston Pin: 33.2 Millimeter --> 0.0332 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_A = pi*(d_o^4-d_i^4)/64 --> pi*(0.0555^4-0.0332^4)/64

Evaluating ... ...

I_A = 4.06100283677413E-07

STEP 3: Convert Result to Output's Unit

4.06100283677413E-07 Meter⁴ -->406100.283677413 Millimeter⁴ (Check conversion here)

FINAL ANSWER

406100.283677413 ≈ 406100.3 Millimeter⁴ <-- Area Moment of Inertia

(Calculation completed in 00.004 seconds)

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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Inner Diameter of Piston Pin

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Area Moment of Inertia for Piston Pin Cross Section Formula

Area Moment of Inertia = pi*(Outer Diameter of Piston Pin^4-Inner Diameter of Piston Pin^4)/64
I_A = pi*(d_o^4-d_i^4)/64

What is a Moment?

The Moment of a force is a measure of its tendency to cause a body to rotate about a specific point or axis. This is different from the tendency for a body to move, or translate, in the direction of the force. In order for a moment to develop, the force must act upon the body in such a manner that the body would begin to twist. This occurs every time a force is applied so that it does not pass through the centroid of the body. A moment is due to a force not having an equal and opposite force directly along its line of action.
Imagine two people pushing on a door at the doorknob from opposite sides. If both of them are pushing with an equal force then there is a state of equilibrium. If one of them would suddenly jump back from the door, the push of the other person would no longer have any opposition and the door would swing away. The person who was still pushing on the door created a moment.

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

Area Moment of Inertia for Piston Pin Cross Section calculator uses Area Moment of Inertia = pi*(Outer Diameter of Piston Pin^4-Inner Diameter of Piston Pin^4)/64 to calculate 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 calculate Area Moment of Inertia for Piston Pin Cross Section using this online calculator? To use this online calculator 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. Here is how the Area Moment of Inertia for Piston Pin Cross Section calculation can be explained with given input values -> 4.1E+17 = pi*(0.0555^4-0.0332^4)/64.

FAQ

What is Area Moment of Inertia for Piston Pin Cross Section?

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 and is represented as I_A = pi*(d_o^4-d_i^4)/64 or Area Moment of Inertia = pi*(Outer Diameter of Piston Pin^4-Inner Diameter of Piston Pin^4)/64. Outer diameter of piston pin is the diameter of the outer surface of a piston pin & Inner diameter of piston pin is the diameter of the inside surface of a piston pin.

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

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 is calculated using Area Moment of Inertia = pi*(Outer Diameter of Piston Pin^4-Inner Diameter of Piston Pin^4)/64. To calculate Area Moment of Inertia for Piston Pin Cross Section, you need Outer Diameter of Piston Pin (d_o) & Inner Diameter of Piston Pin (d_i). With our tool, you need to enter the respective value for Outer Diameter of Piston Pin & Inner Diameter of Piston Pin and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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