Curved Box‐Girder Bridges
Publication: Journal of Structural Engineering
Volume 114, Issue 6
Abstract
Based on the curvilinear coordinate system, the spline finite strip method is extended to the elasto‐static analysis of circular and noncircular box‐girder bridges. As the curvature effect cannot be ignored, the webs of the bridges have to be treated as thin shells and the flanges as flat curved plates. The shape functions for the description of the displacement field (radial, tangential, and vertical displacements) are given as products of B‐3 spline functions in the longitudinal direction and piecewise polynomials in the other direction. The stress‐strain and stiffness matrices can then be formed as in the standard finite element method. Three examples of box‐girder bridges of different geometrical shapes are employed to demonstrate the accuracy and versatility of the method. Compared to the finite element method, this method yields considerable savings in both computer time and effort, since only a small number of unknowns are generally required in the analysis.
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References
1.
Ashwell, D. G., and Sabir, A. (1972). “A new cylindrical shell finite element based on simple independent strain functions.” Int. J. Mech. Sci., 14(3), 171.
2.
Chan, H. C., and Cheung, Y. K. (1982). “On the formulation of higher order conforming flat shell elements.” Proc., Int. Conf. on Finite Element Methods, Shanghai, China, 121–125.
3.
Cheung, Y. K. (1976). Finite strip method in structure analysis. Pergamon Press, New York, N.Y.
4.
Cheung, Y. K., Fan, S. C., and Wu, C. Q. (1982). “Spline finite strip in structure analysis.” Proc., Int. Conf. on Finite Element Methods, Shanghai, China, 704–709.
5.
Chu, K. H., and Pinjarkar, S. G. (1971). “Analysis of horizontally curved box girder bridges.” J. Struct. Div., ASCE, 97(ST10), 2481–2501.
6.
Donnell, L. H. (1938). “A discussion of thin shell theory.” Proc., 5th Int. Congress on Applied Mechanics.
7.
Fam, A. R. M. (1972). “Static and free vibration analysis of curved box bridges,” thesis presented to McGill University, at Montreal, Canada in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
8.
Irons, B. M. (1974). “The semiloof shell element.” Conf. Finite Elements Applied to Thin Shells and Curved Members, Dept. of Civil and Structural Engrg., University College, Cardiff, U.K., 197–222.
9.
Li, W. Y., Cheung, Y. K., and Tham, L. G. (1986). “Spline finite strip analysis of general plates.” J. Engrg. Mech., ASCE, 112(1), 43–53.
10.
Meyer, C. (1970). “Analysis and design of curved box girder bridges.” Report No. UC SESM 70.22, Structure and Material Research, Department of Civil Engineering, University of California, Berkeley, Calif.
11.
Scordelis, A. C., Meyer, C., and Seni, A. (1972). Discussion of “Analysis of horizontally curved box girder bridges,” by K. H. Chu and S. G. Pinjarker, J. Struct. Div., ASCE, 98(ST8), 1878–1880.
12.
Tham, L. G., Li, W. Y., and Cheung, Y. K. (1986). “Bending of skew plates by spline‐finite‐strip method.” Comput. Struct., 22(1), 31–38.
13.
Xu, Z.‐L. (1978). Elasticity. People's Educational Press, Peking, China (in Chinese).
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Copyright © 1988 ASCE.
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Published online: Jun 1, 1988
Published in print: Jun 1988
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