Geometrically Nonlinear Analysis of Plane Frames Subjected to Temperature Changes
Publication: Journal of Structural Engineering
Volume 136, Issue 11
Abstract
Procedure for large displacement and stability analysis of elastic plane frames subjected to temperature changes is presented. The method of analysis is based on an Eulerian (corotational) formulation, which was developed initially for static loads, and is extended herein to include thermal effects. Local element force-deformation relationships are derived using the beam-column theory taking into consideration the effect of curvature due to temperature gradient across the element cross section. The changes in element chord lengths due to thermal axial strain, and bowing due to temperature gradient, are taken into account. This “beam-column” approach, using stability and bowing functions, requires significantly fewer elements per member (i.e., a beam or a column) for the analysis of a framed structure than the “finite-element” approach. A computational technique, using Newton-Raphson iteration, is developed to determine the nonlinear responses of structures. Numerical solutions are presented for a number of benchmark structures to demonstrate the feasibility of the proposed method of analysis.
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Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 136 • Issue 11 • November 2010
Pages: 1342 - 1349
Copyright
© 2010 ASCE.
History
Received: Jun 15, 2009
Accepted: Apr 5, 2010
Published online: Apr 10, 2010
Published in print: Nov 2010
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