Geometrical Properties of Trapezoid

Dimensions

a =   , b =  

Height

h =  

Area

A = h·(a + b)2 ²

Centroid

y_c = a2

z_c = h3·a + 2·ba + b

Perimeter

P = a + b + 2· h² + (b – a)²4

Second moments of area

I_y = h³36·a² + 4·a·b + b²a + b ⁴

I_z = h48·(a + b)·(a² + b²) 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