Area Moment of Inertia_y - nth Degree Parabola (convex)

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Last modified by

MichaelBartmess

on

Jul 24, 2020, 6:28:07 PM

Created by

MichaelBartmess

on

Jan 17, 2014, 5:21:22 PM

I_{y} = \frac{n \cdot b^{3} \cdot h}{3 n + 1}

$I_y = ( "n" * "b" ^3 * "h" ) / (3 "n" +1)$

Base

$"Base"$

Height

$"Height"$

Reciprocal Exponential

$"Reciprocal Exponential"$

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e53fd3cc-390f-11e3-bfbe-bc764e049c3d

This equation computes the y-component of the Area Moment of Inertia for an nth degree parabola, convex up, where the equation for the parabola is y = $(\frac{h}{b^{\frac{1}{n}}}) x^{\frac{1}{n}}$ $(h/b^(1/n)) x^(1/n)$

The Area Moment of Inertia (I) , also called the second moment of area, polar moment of inertia or second area moment, represents how area is distributed around the center of mass. The Area Moment of Inertia has units of length to the fourth power.

/attachments/e53fd3cc-390f-11e3-bfbe-bc764e049c3d/AreaMomentofInertiaynthDegreeParabolaconvex-illustration.png

This equation, Area Moment of Inertia_y - nth Degree Parabola (convex), is used in 1 page

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• Area Moment of Inertia - nth Degree Parabola (convex) by MichaelBartmess

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AreaMomentofInertiaynthDegreeParabolaconvex-illustration.png

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