TECHNICAL PAPERS
Oct 1, 1983

Transient Thermal Behavior of Composite Bridges

Publication: Journal of Structural Engineering
Volume 109, Issue 10

Abstract

Analytical and experimental investigations into the transient thermal behavior of continuous composite steel beam‐reinforced concrete slab highway bridges are reported. Temperatures and deformations were measured during transient cooling of a 0.354 scale model of a three‐span continuous bridge. The model bridge was 53 ft 1‐1/4 in. (16.2 m) long. Slab dimensions were 10 ft 6‐3/4 in. (3.2 m) wide by 2‐7/16 in. (62 mm) thick. It was supported on four W10×15(W254×6.8) continuous steel beams. A numerical procedure is presented for the solution of transient temperatures in composite slab‐steel beam highway bridges. The two‐dimensional finite element analysis predict the temperature distributions of the cross section to ±0.5°F(±0.3°C). A linear temperature rectangular finite element is used. Statistical analyses indicate a better than 0.99 probability of correlation between the predicted and measured temperatures. The temperature history of the model bridge requires 462 time steps of 10 seconds each to cover the total cooling period. A finite element thermoelastic analysis is used to compute strains, stresses and deflections. The method is applicable to other systems of composite construction.

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References

1.
Berwanger, C., and Symko, Y., “Thermal Stresses in Steel‐Concrete Composite Bridges,” Canadian Journal of Civil Engineering, Ottawa, Canada, Vol. 2, No. 1, Mar., 1975, pp. 66–84.
2.
Berwanger, C., and Symko, Y., “Tinite Element Solutions for Thermal Stresses in Steel‐Concrete Composite Bridges,” Journal of the Society of Experimental Stress Analysis, Experimental Mechanics, Vol. 16, No. 5, May, 1976, pp. 168–175.
3.
Crank, J., and Nicolson, P., “A Practical Method for Numerical Evaluation of Solutions of Partial Differential Equations of Heat—Conduction Type,” Proceedings, Cambridge Philosophical Society, Vol. 32, 1947, pp. 50–67.
4.
Symko, Y., “A Study of Steady‐Heat Conduction and Deformations on Model Concrete and Composite Bridges,” thesis presented to the University of Ottawa, at Ottawa, Canada, in 1972, in partial fulfillment of the requirements for the degree of M.A.Sc.
5.
Symko, Y., “Transient Heat Conduction and Thermoelastic Analysis of Three‐Span Composite Highway Bridge,” thesis presented to the University of Ottawa, at Ottawa, Canada, in 1979, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
6.
Zienkiewicz, O. C., “The Time Dimension. Semi‐Discretization of Field and Dynamic Problems and Analytical Solution Procedures,” The Finite Element Method, 3rd Edition, McGraw‐Hill Book Company (UK) Limited, Maidenhead, Berkshire, England, 1977, pp. 527–568.
7.
Zienkiewicz, O. C., “Generalization of the Finite Element Concepts—Weighted Residual and Variational Approaches,” The Finite Element Method, 3rd Edition, McGraw‐Hill Book Company (UK) Limited, Maidenhead, Berkshire, England, 1977, pp. 42–91.
8.
Zienkiewicz, O. C., “The Time Dimensions; Finite Element Approximation to Initial Value—Transient Problems,” The Finite Element Method, 3rd Edition, McGraw‐Hill Book Company (UK) Limited, Maidenhead, Berkshire, England, 1977, pp. 569–606.
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Zienkiewicz, O. C., “Finite Elements of an Elastic Contiuum Displacement Approach,” The Finite Element Method, 3rd Edition, McGraw‐Hill Book Company (UK) Limited, Maidenhead, Berkshire, England, 1977, pp. 20–41.
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Zienkiewicz, O. C., “Bending of Thin Plates, C1‐Continuity Problems,” The Finite Element Method, 3rd Edition, McGraw‐Hill Book Company (UK) Limited, Maidenhead, Berkshire, England, 1977, pp. 226–267.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 109Issue 10October 1983
Pages: 2325 - 2339

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Published online: Oct 1, 1983
Published in print: Oct 1983

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Carl Berwanger, F. ASCE
Prof., Civ. Engrg. Dept., Faculty of Science and Engrg., University of Ottawa, Canada

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