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Geometrical Properties of Channel Section


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Dimensions

h = m, tw = m

bf = m, tf = m

Area

Aw = h·tw m2

Af = (bftwtf m2

A = Aw + 2·Af m2

Centroid

Sz = Aw·tw/2 + Af·(bf + tw) m3

yc = Sz/A m

zc = h/2 m

Perimeter

P = 2·(h + 2·bftw) m

Second moments of area

Iy = (bf·h3 – (bftw)·(h – 2·tf)3)/12 m4

Iz_w = (h – 2·tftw·(tw2/12 + (yctw/2)2) m4

Iz_f = tf·bf·(bf2/12 + (ycbf/2)2) m4

Iz = Iz_w + 2·Iz_f 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