Geometrical Properties of Channel 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

S_z = A_w·t_w2 + A_f·(b_f + t_w) m³

y_c = S_zA 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_w} = (h – 2·t_f)·t_w·(t_w²12 + (y_c – t_w2)²) m⁴

I_{z_f} = t_f·b_f·(b_f²12 + (y_c – b_f2)²) m⁴

I_z = I_{z_w} + 2·I_{z_f} m⁴

Polar moment of area

I_x = I_y + I_z m⁴

Radii of gyration

r_y =  I_yA m

r_z =  I_zA m

r_x =  I_xA m