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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 108
PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping
Paper 33

Computation of Stresses and Strains in Heat-Curved Steel Girders using the Duhamel Analogy

A.N. Gergess1 and R. Sen2

1University of Balamand, El-Koura, North Lebanon, Lebanon
2University of South Florida, Tampa, Florida, United States of America

Full Bibliographic Reference for this paper
A.N. Gergess, R. Sen, "Computation of Stresses and Strains in Heat-Curved Steel Girders using the Duhamel Analogy", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 33, 2015. doi:10.4203/ccp.108.33
Keywords: heat curving, Duhamel analogy, temperature, stress, strain, non-linear.

Summary
Heat-curving is a complicated procedure that is often used for curving structural steel shapes. Complexity arises not only in its application, but also in the numerical computations that have to account for residual stresses, material property variation with temperature, non-linear temperature distribution across the girder cross-section and geometric non-linearity of the girder during heating and cooling.

This paper presents a two-dimensional solution for analyzing heat-curved steel girders and computing stress, strain and curvature in the non-linear range. The solution is based on the Duhamel analogy. It can take into consideration multiple heating and cooling cycles and enables the determination of the curvature that develops based on a heating cycle.

A brief description of the Duhamel analogy is first provided and the solution for heat curving then developed using an equivalent, linear temperature distribution across the flange width. The analytical solution enables closed-form equations for thermal stress and strain to be determined from which temperature-dependent material properties and curvature can be directly calculated. An illustrative numerical example is subsequently presented.

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