Yield Interaction Equations for Nominal Bending Strength of Curved I-Girders
Publication: Journal of Bridge Engineering
Volume 2, Issue 2
Abstract
Horizontally curved I-girders are subjected to combined vertical bending and torsion under gravity loading alone. The torsional behavior of open I-shaped girders is commonly and conveniently equated to self-equilibrating lateral bending moments in the flanges. The interaction of vertical bending and this lateral flange bending effectively reduces the vertical moment carrying capacity of the section. Yield interaction equations for predicting the nominal bending strength of horizontally curved steel I-girders subjected to vertical moment and torsion are derived. Singly symmetric composite and noncomposite I-shaped cross sections in both the positive and negative moment zones are considered. Strength criteria considered are: (1) complete plastification of the cross section for compact sections; (2) partial yield penetration for compact-flange sections; and (3) initial yielding at the extreme flange tip for noncompact sections. A total of 17 interaction cases are ultimately considered. These strength criteria are based purely on the static equilibrium of the cross section with no secondary amplification considered. The limitations and applicability of the derived equations toward design use are demonstrated and analyzed.
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References
1.
American Association of State Highway and Transportation Officials, Inc. (AASHTO) (1992). Standard specifications for highway bridges, 15th Ed., Washington, D.C., 1–671.
2.
American Association of State Highway and Transportation Officials, Inc. (AASHTO) (1993). Guide specifications for horizontally curved highway bridges. Washington, D.C., 1–111.
3.
American Association of State Highway and Transportation Officials, Inc. (AASHTO) (1994). LRFD bridge design specifications. Washington, D.C.
4.
Culver, C. G. (1972). “Design recommendations for curved highway bridges.”Final Rep. Proj. 68-32, Pennsylvania Dept. of Transp., Harrisburg, Pa., 1–101.
5.
Frank, K. H., and Helwig, T. A.(1995). “Buckling of webs in unsymmetric plate girders.”Engrg. J., 32(2), 43–53.
6.
Fukumoto, Y., and Nishida, S.(1981). “Ultimate load behavior of curved I-beams.”J. Engrg. Mech. Div., ASCE, 106(2), 367–385.
7.
Galambos, T. V., ed. (1988). Guide to stability design criteria for metal structures, 4th Ed., John Wiley & Sons, Inc., New York, N.Y.
8.
Hanshin Expressway Public Corporation. (1988). Guidelines for the design of horizontally curved girder bridges (draft). Hanshin Expressway Public Corporation and Steel Struct. Study Com., 1–178.
9.
Mozer, J., and Culver, C. G. (1975). “Horizontally curved highway bridges, stability of curved plate girders-P1.” Contract No. FH-11-7389, FHWA, Washington, D.C., 1–95.
10.
Mozer, J., Ohlson, R., and Culver, C. G. (1975a). “Stability of curved plate girders-P2.”Contact No. FH-11-7389, Fed. Hwy. Admin., Washington, D.C., 1–121.
11.
Mozer, J., Cook, J., and Culver, C. G. (1975b). “Horizontally curved highway bridges, stability of curved plate girders-P3.”Contract No. FH-11-7389, Fed. Hwy. Admin., Washington, D.C., 1–111.
12.
Nakai, H., and Yoo, C. (1988). Analysis and design of curved steel bridges. McGraw-Hill Book Company, Inc., New York, N.Y., 1–673.
13.
Nakai, H., Kitada, T., and Ohminami, R. (1985). “Experimental study on the buckling and ultimate strength of curved girders subjected to combined loads of bending and shear.”Proc., Japan Soc. of Civ. Engrs., Tokyo, Japan, No. 356/I-3, 445–454.
14.
“Plastic Design in Steel.” (1971). A guide and commentary: manuals and reports on engineering practice, No. 41, 2nd Ed., ASCE, New York, N.Y.
15.
Schilling, C. G.(1996). “Yield-interaction relationships for curved I-girders.”J. Bridge Engrg., ASCE, 1(1), 26–33.
16.
“V-load analysis: An approximate procedure, simplified and extended, for determining moments and shears in designing horizontally-curved open-framed highway bridges.” (1984). U.S.S. highway structures design handbook, Chapter 12, Vol. 1.
17.
Yadlosky, J. M. (1993). “Summary work plan.”Curved Steel Bridge Research Project, Contract No. DTFH61-92-C-00136, Fed. Hwy. Admin., McLain, Va.
18.
Yoo, C. (1995). “Yield interaction equations for nominal bending strength of curved I-girders.”Interim Rep. on Task-D Curved Steel Bridge Res. Proj., Contract No. DTFH61-92-C-00136, Fed. Hwy. Admin., Auburn Univ., Auburn, Ala.
19.
Yoo, C., and Heins, C. P. (1973). “Users manual for the static analysis of curved bridge girders.”Civ. Engrg. Rep., No. 55, Univ. of Maryland, College Park, Md.
Information & Authors
Information
Published In
Journal of Bridge Engineering
Volume 2 • Issue 2 • May 1997
Pages: 37 - 44
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: May 1, 1997
Published in print: May 1997
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