Nonlinear analysis of planar frames with semi-rigid connections and rigid end parts

Abstract

In this study, nonlinear analysis of planar frames with semi-rigid connections and rigid end parts is performed. Stiffness influence coefficients in the shear wall axis of the beam connected to the shear wall are obtained with the assumption that the rigid strain would be at the part between the elastic beam end and the shear wall axis. The Richard model, which represents a strain hardening and a strain softening behaviour, is used for the connection model. The tangent stiffness matrix of the second order analysis is obtained from the solution of the linear differential equation governing the moment-curvature relation of a one-dimensional member in which the effects of axial force and semi-rigid connections are accounted for. The loads that influence the frame are applied step by step. The prepared can be used for both nonlinear analysis and stability checks.