Prikazan je numerički model za materijalnu i geometrijsku nelinearnu analizu prednapetih betonskih ploča i ljusaka opterećenih kratkotrajnim i dugotrajnim statičkim opterećenjem, provedenim bez rasterećenja. Simulirani su najvažniji nelinearni efekti ponašanja betona, betonskog čelika i prednapete armature. Opisani numerički model provjeren je na rezultatima provedenog eksperimentalnog ispitivanja prednapete betonske ljuske opterećene kratkotrajnim i dugotrajnim opterećenjem.A numerical model for the material and geometric non-linear analysis of prestressed concrete slabs and shells subjected to short-term and long-term static load, applied without release of load, is presented. Most significant non-linear effects exhibited by concrete, concrete steel, and prestressed steel, are simulated. The described numerical model is verified through results obtained by experimental testing of a prestressed concrete shell subjected to short-term and long-term load