Geometrical Properties of Circular Pipe

Dimensions

d =   m, t =   m

d₁ = d – 2·t m

Area

A = π·(d² – d₁²)4 m²

Centroid

z_c = y_c = d2 m

Perimeter

P = π·d m

Second moments of area

I_z = I_y = π·(d⁴ – d₁⁴)64 m⁴

Polar moment of area

I_x = 2·I_y m⁴

Torsional constant

I_t = π·(d⁴ – d₁⁴)32 m⁴

Torsional section modulus

W_t = 2·I_td m³

Radii of gyration

r_z = r_y =  I_yA m

r_x =  I_xA m