Reinforced concrete shells are structurally complex and closed-form mo
dels for their various limit states of serviceability and strength eit
her are not available or may be based on approximations and idealizati
ons of behavior. Nonlinear finite-element techniques have made it poss
ible to account for account for the complexities of reinforced concret
e behavior in the inelastic range, to identify these limit states more
accurately, and to assess the safety and reliability of concrete shel
ls. Traditional reliability analysis methods are more convenient to ap
ply when closed-form mechanical models of limit states are available.
In the absence of such models, the reliability analysis can be perform
ed by response surface methods that approximate the limit states by po
lynomial surfaces obtained through finite-element analyses of the syst
em at a set of predetermined experimental points. This paper presents
the reliability analysis of a reinforced concrete containment structur
e by the response surface method. Axisymmetric nonlinear finite-elemen
t analyses were performed to define the limit surfaces and importance
sampling was used for the calculation of limit state probabilities.