Second-Order Collapse Load Analysis: LP Approach

by Saleh B. Abdel-Baset, Res. Asst.; Dept. of Civ. Engrg., Solid Mech. Div., Univ. of Waterloo, Waterloo, ON, Canada,
Donald E. Grierson, Assoc. Prof.; Dept. of Civ. Engrg., Solid Mech. Div., Univ. of Waterloo, Waterloo, ON, Canada,
Niels C. Lind, (A.M.ASCE), Prof.; Dept. of Civ. Engrg., Solid Mech. Div., Univ. of Waterloo, Waterloo, ON, Canada,


Serial Information: Journal of the Structural Division, 1973, Vol. 99, Issue 11, Pg. 2215-2228


Document Type: Journal Paper

Abstract: The paper presents an iterative procedure for the analysis of elastic-plastic building frames to determine the failure load accounting for second-order effects due to axial forces and member deformations. The analysis procedure is essentially the reverse of historical load-deformation analysis in that it starts from an upper-bound estimate to the failure load as given by that found for rigid plastic (i.e., first-order) analysis. Secondary moments as well as axial force influences on plastic moment capacities and member flexibilities are accounted for. The procedure involves the iterative performance of a series of strength and deformation analyses as linear programming (LP) problems. Single-bay frames having one, four, eight, and fifteen stories are analyzed to illustrate the features and scope of application of the approach. Solution convergence is shown to be very good.

Subject Headings: Failure analysis | Failure loads | Plastic analysis | Deformation (mechanics) | Elastic analysis | Frames | Axial forces | Moment (mechanics)

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