The computational aspects of the problem of ultimate strength analysis of a
rbitrary reinforced concrete cross-sections under normal force and biaxial
bending are considered. The cross-section secant stiffness derived here ins
ures the convergence of the solution for the equilibrium equations in any l
oad case. The stress-strain relations of concrete and reinforcements are ex
pressed in terms of the piece-wise continuous cubic polynomials. The coeffi
cients of the cross-section equilibrium equations me evaluated numerically
by applying the integration rules proposed by Rieckmann and Sommerfield. Th
e present approach is demonstrated through several examples.