Area, Centroid, and Moment of Inertia of a Polygon

Finds area, centroid, moment of Inertia and higher order moments of arbitrary polygonal shapes.

Area=MOMENT(polygon,0,0)

Cx=MOMENT(polygon,1,0)/Area

Cy=MOMENT(polygon,0,1)/Area

Ixx=MOMENT(polygon,0,2)

Iyy=MOMENT(polygon,2,0)

Ixy=MOMENT(polygon,1,1)

where: the function MOMENT is defined as:

function M=MOMENT(polygon,m,n)

Input:

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Polygon is a structure contains coordinates vectors Polygon.x and Polygon.y

m:is the order of moment in x-direction

n:is the order of moment in y-direction

Output:

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M: Moment

References:

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Kawakami, M., and Amin Ghali. "Time-dependent stresses in prestressed concrete sections of general shape." PCI journal 41.3 (1996).