Analytical Modeling of Nonlinear Behavior of Composite Bridges
Publication: Journal of Structural Engineering
Volume 116, Issue 6
Abstract
Various aspects of a general finite‐element program for the nonlinear analysis of steel‐and‐concrete structures is described. The program accounts for the nonlinear behavior of concrete, steel, and shear connectors. Concrete is treated as an orthotropic nonlinear material. The concept of equivalent strain is used to establish independent stress‐strain relationships in the directions of orthotropy. Steel is modeled as an elastoplastic strain‐hardening material, and classical theory of plasticity together with the von Mises failure criterion is applied. For shear connectors, an empirical nonlinear shear force—slip relationship is used. The accuracy and reliability of the program are demonstrated by the analysis of two composite beams and a multigirder bridge over the entire loading range up to failure. The analytical results are compared with the corresponding experimental and/or field data with good agreement between the two. The reported results demonstrate the feasibility and reliability of the nonlinear finite‐element method as an expedient alternative to costly experimental work in some situations.
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References
1.
Arizumi, Y., and Hamada, S. (1981). “Elastic‐plastic analysis of composite beams with incomplete interaction by finite element method.” J. Comput. Struct., 14(5–6), 453–462.
2.
Aziz, O. (1988). “A mechanism free plane quadrilateral element with rotational degrees of freedom and the associated facet shell element,” thesis presented to Carleton University, at Ottawa, Canada, in partial fulfillment of the requirements for the degree of Master of Engineering.
3.
Brockenbrough, R. L. (1986). “Distribution factors for curved I‐girder bridges.” J. Struct. Engrg., ASCE, 112(10), 2200–2215.
4.
Cheung, M. S., Gardner, N. J., and Ng, S. F. (1986). “Load distribution characteristics of slab‐on‐girder bridges at ultimate.” Proc., 2nd Int. Conf. on Short and Medium Span Bridges, Ottawa, Canada, (2), 461–485.
5.
Chinniah, J. (1985). “Finite element formulations for thin plates and shell structures,” thesis presented to Carleton University, at Ottawa, Canada, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
6.
Darwin, D., and Pecknold, D. A. (1977). “Nonlinear biaxial stress‐strain law for concrete.” J. Engrg. Mech., ASCE, 103(4), 229–241.
7.
Fu, C. C., and Heins, C. P., Jr. (1976). “Inelastic analysis of continuous, composite highway bridges,” Report No. 62, Federal Highway Administration, Baltimore, Md., Maryland Div., 119.
8.
Ghoneim, G. A. M., and Ghali, A. (1982). “Nonlinear analysis of concrete structures.” Can. J. Civ. Engrg., 9(3), 489–501.
9.
Hall, J. C. (1981). “Inelastic overload analysis of continuous steel multi‐girder highway bridges by the finite‐element method,” thesis presented to Lehigh University, at Lehigh, Pa., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
10.
Hamada, S., and Longworth, J. (1976). “Ultimate strength of composite beams.” J. Struct. Engrg., ASCE, 102(7), 1463–1478.
11.
Hamada, S., and Arizumi, Y. (1977). “Finite element analysis of continuous composite beams with incomplete interaction.” Trans., JSCE, 9, 64–67.
12.
Heins, C. P., Jr., and Looney, C. T. G. (1968). “Bridge analysis using orthotropic plate theory,” J. Struct. Engrg., ASCE, 94(2), 565–592.
13.
Heins, C. P., Jr., and Looney, C. T. G. (1969). “Bridge tests predicted by finite difference plate theory,” J. Struct. Engrg., ASCE, 95(2), 249–265.
14.
Heins, C. P., Jr., and Kuo, J. T. C. (1975). “Ultimate live load distribution factor for bridges.” J. Struct. Engrg., ASCE, 101(7), 1481–1496.
15.
Hill, R. (1950). The mathematical theory of plasticity. Oxford University Press, Oxford, United Kingdom.
16.
Hirst, M. J., and Yea, N. F. (1980). “The analysis of composite beams using standard finite element programs.” Comput. Struct., 11(3), 233–237.
17.
Hodge, P. G., Jr. (1959). Plastic analysis of structures. McGraw‐Hill Book Co., Berkshire, Mass., chapter 10.
18.
Johnson, R. P., and Buckby, R. J. (1986). Composite structures of steel and concrete. 2nd Ed., Vol. 2, Collins, London, 78–101.
19.
Köstem, C. N. (1984). “Over loading response of multi‐girder bridges.” Analysis and design of bridges, NATO ASI Series: Appl. Sci., 74, 49–56.
20.
Kupfer, H., and Gerstle, K. H. (1973). “Behavior of concrete under biaxial stresses.” J. Engrg. Mech., ASCE, 99(4), 853–866.
21.
McNeal, H., and Harder, K. H. (1988). “Refined four‐noded membrane element with rotational degrees of freedom.” Comput. Struct., 28(1), 75–84.
22.
Moffatt, K. R., and Lim, P. T. K. (1976). “Finite element analysis of composite box‐girder bridges having complete or incomplete interaction.” J. Instit. Civ. Engrs., 61(3), part 2, 1.
23.
Ontario highway bridge design code. (1983). Ministry of Transportation of Ontario, Downsview, Ontario, Canada.
24.
Owen, D. R. J., and Hinton, E. (1980). Finite elements in plasticity: Theory and practice. Pineridge Press, Swansea, 215–269.
25.
Razaqpur, A. G., and Nofal, M. E. (1988). “Transverse load distribution at ultimate limit states in single span slab on girder bridges with compact steel girders.” Final Report, Proj: 23182, Ministry of Transportation of Ontario (MTO), Downsview, Ontario, Canada.
26.
Saenz, L. D. (1964). “Discussion of equation for the stress‐strain curve of concrete by Desayi and Krishnan.” J. ACI., 61(9), 1229–1235.
27.
Wegmuller, A. W., and Amer, H. N. (1977). “Nonlinear response of composite steel‐concrete bridges.” Comput. Struct., 7(2), 161–169.
28.
Yamada, Y., Kawai, T., Yashimura, N., and Sakurai, T. (1969). “Analysis of the elastic‐plastic problems by the matrix methods in structural mechanics.” Wright‐Patterson Air Force Base, Ohio, 1271–1299.
29.
Yam, L. C. P., and Chapman, J. C. (1968). “The inelastic behavior of simply supported composite beams of steel and concrete.” J. Instit. Civ. Engrs., 41(1), 651–683.
30.
Yam, L. C. P., and Chapman, J. C. (1972). “The inelastic behavior of continuous composite beams of steel and concrete.” J. Instit. Civ. Engrs., 53(12), 487–501.
31.
Zienkiewicz, O. C. (1983). The finite element method, 3rd Ed., McGraw‐Hill Book Co., Berkshire, Mass., 460–471.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 116 • Issue 6 • June 1990
Pages: 1715 - 1733
Copyright
Copyright © 1990 ASCE.
History
Published online: Jun 1, 1990
Published in print: Jun 1990
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