Geometrical Properties of Rectangular Tube

Dimensions

h =   , t_w =  

b =   , t_f =  

b₁ = b – 2·t_w

h₁ = h – 2·t_f

Area

A = 2·(h·t_w + b₁·t_f) ²

A = h·b – h₁·b₁ ²

Centroid

y_c = b2

z_c = h2

Perimeter

P = 2·(h + b)

Second moments of area

I_y = b·h³ – b₁·h₁³12 ⁴

I_z = b³·h – b₁³·h₁12 ⁴

Polar moment of area

I_x = I_y + I_z ⁴

Radii of gyration

r_y =  I_yA

r_z =  I_zA

r_x =  I_xA