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Geometrical Properties of Trapezoid


Trapezoid.png

Dimensions

a = m, b = m

Height

h = m

Area

A = h·(a + b)/2 m2

Centroid

yc = a/2 m

zc = h·(a + 2·b)/(a + b)/3 m

Perimeter

P = a + b + 2·h2 + (ba)2/4 m

Second moments of area

Iy = h3·(a2 + 4·a·b + b2)/(a + b)/36 m4

Iz = h·(a + b)·(a2 + b2)/48 m4

Polar moment of area

Ix = Iy + Iz m4

Radii of gyration

ry = √Iy/A m

rz = √Iz/A m

rx = √Ix/A m


Substitute