Geometrical Properties of Trapezoid

Dimensions

a =   m, b =   m

Height

h =   m

Area

A = h·(a + b)2 m²

Centroid

y_c = a2 m

z_c = h3·a + 2·ba + b m

Perimeter

P = a + b + 2· h² + (b – a)²4 m

Second moments of area

I_y = h³36·a² + 4·a·b + b²a + b m⁴

I_z = h48·(a + b)·(a² + b²) 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