Beam-Columns with Finite Deflections

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 sin...

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Bibliographic Details
Published inJournal 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
LanguageEnglish
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)
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ISSN0733-9445
1943-541X
DOI10.1061/(ASCE)0733-9445(2000)126:2(266)

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Summary: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.
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ISSN:0733-9445
1943-541X
DOI:10.1061/(ASCE)0733-9445(2000)126:2(266)