Large Displacement Inelastic Analysis of Beam-Columns

by Marcelo Epstein, Prof.; Dept. of Mech. Engrg., Univ. of Calgary, Alberta, Canada,
David W. Murray, (M.ASCE), Prof. of Civ. Engrg.; Univ. of Alberta, Edmonton, Alberta, Canada,
Donald Nixon, Grad. Student; Dept. of Civ. Engrg., Univ. of Alberta, Edmonton, Alberta, Canada,

Serial Information: Journal of the Structural Division, 1978, Vol. 104, Issue 5, Pg. 841-853

Document Type: Journal Paper


The formulation of a variational virtual work equation for describing internal work for an arbitrary thin-walled beam of open cross section subjected to large displacements is reviewed. The equation is specialized to treat I-sections and is discretized by the finite element method in terms of twelve displacement coordinates per node. A procedure for solution with inelastic material properties (Shanley theory) is examined in detail, as well as some programming considerations. Solutions for a trilinear stress-strain relationship, including the effect of residual strains, are compared with experimental results. Good agreement is obtained for inelastic biaxial bending of a beam-column and for inelastic lateral buckling of a beam.

Subject Headings: Material properties | Displacement (mechanics) | Inelasticity | Beam columns | Beams | Finite element method | Arbitration | Cross sections

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