Area, Centroid, and Moment of Inertia of a Polygon

Finds area, centroid, moment of Inertia and higher order moments of arbitrary polygonal shapes.
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Updated 17 Jun 2019

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Area=MOMENT(polygon,0,0)
Cx=MOMENT(polygon,1,0)/Area
Cy=MOMENT(polygon,0,1)/Area
Ixx=MOMENT(polygon,2,0)
Iyy=MOMENT(polygon,0,2)
Ixy=MOMENT(polygon,1,1)

where: the function MOMENT is defined as:

function M=MOMENT(polygon,m,n)
Input:
-------
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:
----------
M: Moment

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

Cite As

Ayad Al-Rumaithi (2024). Area, Centroid, and Moment of Inertia of a Polygon (https://www.mathworks.com/matlabcentral/fileexchange/70090-area-centroid-and-moment-of-inertia-of-a-polygon), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2009b
Compatible with any release
Platform Compatibility
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Version Published Release Notes
1.0.2

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1.0.1

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1.0.0