A simple and practical model is proposed for the analysis of the secon
d-order inelastic behavior of semi-rigid frames. The method is based o
n a three-parameter model of the rotational stiffness of the connectio
ns and a phenomenological model for representing the degradation in th
e tangent stiffness of beam-column members due to distributed yielding
. It is found that the conventional simple plastic hinge method tends
to overestimate the limit load of semi-rigid frames, no matter that th
e beam-to-column connections are stiff or soft when the axial loads in
columns are large. The load deflection response predicted by the prop
osed method is smooth and close to that obtained by more accurate inel
astic analysis methods and experimental results.