Beam-Columns with Finite Deflections

• Published in: Journal of structural engineering (New York, N.Y.) Vol. 126; no. 2; pp. 266 - 269
• Main Authors: Kalaga, S, Adluri, S. M. R
• Format: Journal Article
• Language: English
• Published: Reston, VA American Society of Civil Engineers 01.02.2000
• Subjects: Applied sciences; Buildings. Public works; Computation methods. Tables. Charts; Exact sciences and technology; Structural analysis. Stresses; TECHNICAL NOTES; Potential energy; High strain; Approximate method; Beam column structure; Eccentric load; Steel; Bending stress; Deflection(deformation)
• ISSN: 0733-9445; 1943-541X
• DOI: 10.1061/(ASCE)0733-9445(2000)126:2(266)

The large deflection behavior of a uniaxially bent beam-column subject to an eccentrically applied load is investigated. A closed-form expression for the total lateral deflection, including bowing and initial imperfection, is derived by adopting a nonlinear strain-displacement relationship and a sine curve approximation for the lateral deflection. Stability is checked by evaluating the Hessian matrix of the total potential energy. The formulation is validated by applying it to a steel beam-column with an L r ratio of 200. Though not comprehensive, results indicate that it is possible to develop reasonable closed-form solutions for the nonlinear behavior of slender beam-columns.