Geometrical Properties of Zed Section

Dimensions

h =   m, t_w =   m

b_f =   m, t_f =   m

Area

A_w = h·t_w m²

A_f = (b_f – t_w)·t_f m²

A = A_w + 2·A_f m²

Centroid

y_c = b_f – t_w2 m

z_c = h2 m

Perimeter

P = 2·(h + 2·b_f – t_w) m

Second moments of area

I_y = b_f·h³ – (b_f – t_w)·(h – 2·t_f)³12 m⁴

I_z = (h – 2·t_f)·t_w³ + 2·t_f·b_f·(b_f² + 3·(b_f – t_w)²)12 m⁴

I_yz = -b_f·(h – t_f)·A_f2 m⁴

Principal moments of area

I₁ = I_y + I_z2 +  (I_y – I_z)²4 + I_yz² m⁴

I₂ = I_y + I_z2 –  (I_y – I_z)²4 + I_yz² m⁴

Angle of principal axis

α₁ = atan(I_y – I₁I_yz) ^о

Polar moment of area

I_x = I₁ + I₂ m⁴

Radii of gyration

r_y =  I_yA m

r_z =  I_zA m

r_x =  I_xA m