Explicit Inelastic Stiffness for Beam Elements with Uniform and Nonuniform Cross Sections

Abstract

The quasi-plastic-hinge approach proposed by Attalla et al. in 1994 for material nonlinear analysis is formulated using the total form expressions, which is generally computationally inefficient as numerical integrations and finite-difference schemes are required to obtain the elastic-plastic flexibility coefficients. To overcome the above drawback, the quasi-plastic-hinge approach is formulated in an incremental form for beams with uniform cross sections, by which the elastic-plastic flexibility coefficients are explicitly given. The procedure is