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Radius of Gyration_x - nth Degree Parabola (convex)

Last modified by

MichaelBartmess

on

Jul 24, 2020, 6:28:07 PM

Created by

MichaelBartmess

on

Aug 19, 2014, 8:36:32 PM

$r_x = sqrt(( "n" +1) / (3 * ( "n" +1)) * "h" ^2)$

$"Height"$

$"Reciprocal Exponential"$

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2564fc97-36d9-11e3-bfbe-bc764e049c3d

This equation computes the x-component of the radius of gyration for an nth degree parabola, convex up, where the equation for the parabola is y = $(h/b^(1/n)) x^(1/n)$

The radius of gyration $r_x$ is the x-component of the distance from the reference axis at which all of the area can be considered to be concentrated to produce the moment of inertia.

/attachments/2564fc97-36d9-11e3-bfbe-bc764e049c3d/RadiusofGyrationxnthDegreeParabolaconvex-illustration.png

This equation, Radius of Gyration_x - nth Degree Parabola (convex), is used in 1 page

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• Radius of Gyration - nth Degree Parabola (convex) by MichaelBartmess

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RadiusofGyrationxnthDegreeParabolaconvex-illustration.png

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