Geometrical Properties of Ellipse

Dimensions

a =   m, b =   m

Area

A = π·a·b m²

Centroid

y_c = a m, z_c = b m

Perimeter (approx.)

P = π·(3·(a + b) –  √(3·a + b)·(a + 3·b)) m

Second moments of area

I_y = π·a·b³4 m⁴

I_z = π·b·a³4 m⁴

Polar moment of area

I_x = I_y + I_z m⁴

Torsional constant

I_t = π·a³·b³a² + b² m⁴

Torsional section modulus

#else

#end if

Radii of gyration

r_y =  I_yA m

r_z =  I_zA m

r_x =  I_xA m