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Geometrical Properties of Zed 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

yc = bftw/2 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 = ((h – 2·tftw3 + 2·tf·bf·(bf2 + 3·(bftw)2))/12 m4

Iyz = -bf·(htfAf/2 m4

Principal moments of area

I1 = (Iy + Iz)/2 + (IyIz)2/4 + Iyz2 m4

I2 = (Iy + Iz)/2 – (IyIz)2/4 + Iyz2 m4

Angle of principal axis

α1 = atan((IyI1)/Iyz) о

Polar moment of area

Ix = I1 + I2 m4

Radii of gyration

ry = √Iy/A m

rz = √Iz/A m

rx = √Ix/A m


Substitute