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Radius of Gyration_x - nth Degree Parabola (concave)

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MichaelBartmess

on

Jul 24, 2020, 6:28:07 PM

Created by

MichaelBartmess

on

Aug 3, 2014, 7:43:27 PM

r_{x} = \sqrt{\frac{n + 1}{3 \cdot (3 n + 1)} \cdot h^{2}}

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

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284bb37c-3785-11e3-bfbe-bc764e049c3d

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

The radius of gyration $r_{x}$ $r_x$ 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/284bb37c-3785-11e3-bfbe-bc764e049c3d/RadiusofGyrationxnthDegreeParabolaconcave-illustration.png

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

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RadiusofGyrationxnthDegreeParabolaconcave-illustration.png

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