Methodology for Impact Factor of Horizontally Curved Box Bridges
Publication: Journal of Structural Engineering
Volume 119, Issue 6
Abstract
This paper presents a method for determining the dynamic impact factor of horizontally curved steel box‐girder bridges under vehicle loadings. The two‐dimensional planar grid analogy is used to model box bridges. The vehicle is idealized as a pair of concentrated forces, with no mass, traveling, on circumferential paths with constant velocity. Analysis of multigirder and continuous span bridges indicates a tendency for frequency clustering. Static solutions for these bridges are compared against mode superposition and direct integration. The bridge behavior was studied under several truck loading paths. Static and dynamic bridge behavior was observed under these loadings. A rational methodology for determining the impact factor is developed, and alternate impact‐factor criteria are proposed to replace the current American Association of State Highway and Transportation Officials guide specification.
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References
1.
Armstrong, W. L., and Landon, J. A. (1973). “Dynamic testing of curved box beam bridge.” Federal Highway Research and Development Report No. 73‐1, Fed. Highway Admin., Feb.
2.
Bathe, K. J., and Wilson, E. L. (1976). Numerical methods infinite element analysis. Prentice‐Hall, Inc., Englewood Cliffs, N.J.
3.
Bathe, K. J., and Wilson, E. L. (1972). “Stability and accuracy of direct integration methods.” Earthquake Engrg. and Struct. Dynamics, 1(1), 283–291.
4.
Bathe, K. J., Wilson, E. L., and Peterson, F. E. (1973). “SAPIV—A structural analysis program for static and dynamic response of linear systems.” Report EERC 73‐11, Coll. of Engrg., Univ. of California, Berkeley, Calif., June.
5.
Bathe, K. J., Wilson, E. L., and Farhoomand, I. (1973). “Nonlinear dynamic analysis of complex structures.” Int. J. Earthquake Engrg. and Struct. Dynamics, 1(1), 241–252.
6.
Buchanan, J. D., Yoo, C. H., and Heins, C. P. (1974). “Field study of a curved box girder bridge.” Civil Engineering Report No. 59, Univ. of Maryland, College Park, Md., Sep.
7.
Chu, S. L., Amin, M., and Singh, S. (1972). “Spectral treatment of actions of three earthquake components in structures.” Nuclear Engrg. and Design, 21(1), 126–136.
8.
Clough, R. W., and Penzien, J. (1975). Dynamics of structures, McGraw‐Hill Book Co., New York, N.Y.
9.
“Combining modal responses and spatial components in seismic response analysis.” (1976). Regulatory Guide Revision 1, Office of Standards Devel., U.S. Nuclear Regulatory Commission, Washington, D.C., Feb.
10.
Dey, S. S., and Balasubramanian, N. (1984). “Dynamic response of orthotropic curved bridges decks due to moving loads.” Comput. and Struct., 18(1), 27–32.
11.
Documentation and user's guide for DESCUS II. (1978). Olympic Systems, Inc., Bethlehem, Pa.
12.
Fam, A. R. M. (1973). “Static and free vibration analysis of curved box bridges.” Structural Dynamic Series No. 73‐2, Dept. of Civ. Engrg. and Appl. Mechanics, McGill Univ., Montreal, Quebec, Canada, Mar.
13.
Galdos, N. H. (1988). “A theoretical investigation of the dynamic behavior of horizontally curved steel box girder bridges under truck loadings,” PhD dissertation, Univ. of Maryland, College Park, Md.
14.
Guide specification for horizontally curved highway bridges. (1980). Am. Assoc. for State Highway and Transp. Officials, Washington, D.C.
15.
Gupta, R. K. (1980). “Dynamic loading of highway bridges.” J. Engrg. Mech. Div., ASCE, 106(4), 377–394.
16.
Heins, C. P. (1978). “Box girder bridge—State of the art,” AISC Nat. Engrg. Conf., American Institute of Steel Construction, 126–142.
17.
Komatsu, S., and Nakai, H. (1966). “Study on free vibrations of curved girder bridges.” Trans., Japanese Society of Civil Engineers, 136, 35–60.
18.
Komatsu, S., and Nakai, H. (1970). “Fundamental study on forced vibration of curved girder bridges.” Trans., Japanese Society of Civil Engineers, 2(Part 1), 37–42.
19.
Komatsu, S., Nakai, H., and Taido, Y. (1974). “A proposition for designing the horizontally curved girder bridge in connection with ratio between torsional and flexural rigidities.” Trans., Japanese Society of Civil Engineers, 6, 20–23.
20.
Lavelle, F. H. (1976). “The CUGAR 3 algorithm.” Consortium of University Research Teams Report No. 56, Univ. of Rhode Island, Kingston, R.I.
21.
Newmark, N. M. (1959). “A method of computation for structural dynamics.” Proc., ASCE, 85(3), 67–94.
22.
Newmark, N. M. (1970). Earthquake engineering. R. L. Wiegel, ed., Prentice‐Hall, Inc., Englewood Cliffs, N.J., 403.
23.
O'Connor, C., and Pritchard, R. W. (1985). “Impact studies on small composite grider bridges.” J. Struct. Div., ASCE, 111(3), 641–653.
24.
Rabizadeh, R. O. (1974). “Static and dynamic analysis of horizontally curved box girder bridges,” PhD dissertation, Univ. of Pennsylvania, Philadelphia, Pa.
25.
Schelling, D. R., Galdos, N. H., and Sahin, M. A. (1992). “Evaluation of impact factors for horizontally curved steel box bridges.” J. Struct. Engrg., ASCE, 118(11), 3203–3221.
26.
Singh, A. K., Chu, S. L., and Singh, S. (1973). “Influence of closely spaced modes in response spectrum method of analysis.” Proc., Specialty Conf. Struct. Design of Nuclear Plant Facilities, ASCE, New York, N.Y.
27.
Standard specification for highway bridges. (1989). American Assoc. State Highway Transp. Officials, Washington, D.C.
28.
Tan, C. P., and Shore, S. (1968). “Response of horizontally curved bridge to moving load.” J. Struct. Div., ASCE, 94(9), 2135–2151.
29.
Timoshenko, S. P., and Young, D. H. (1955). Vibration problems in engineering. 3rd Ed., D. Van Nostrand Co., Princeton, N.J.
30.
Vlasov, V. Z. (1965). “Thin‐walled elastic beams.” OTS6l‐11400, Nat. Sci. Foundation, Washington, D. C.
31.
Walker, W. H., and Veletsos, A. S. (1963). “Response of simple span highway bridge to moving vehicles.” No. 272, Civ. Engrg. Res. Services, Univ. of Illinois, Urbana, Ill., Sep.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 119 • Issue 6 • June 1993
Pages: 1917 - 1934
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Feb 23, 1990
Published online: Jun 1, 1993
Published in print: Jun 1993
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