TECHNICAL PAPERS
Mar 1, 1983

Ultimate Strength Formula for Steel Arches

Publication: Journal of Structural Engineering
Volume 109, Issue 3

Abstract

Effective slenderness ratios for inelastic lateral buckling of throughtype arches are determined by utilizing an analogy between an arch and a column. A designer can use the effective slenderness ratio to obtain an ultimate stress for arches by substituting it into a column strength formula. The applicability of the proposed formula is examined by comparing its predictions with those of computer simulations. The computer simulations are carried out for isolated single arches of box section and through‐type braced arch bridges composed of twin box‐section ribs. The shape of the arch axis is either parabolic or circular in elevation and the rise‐to‐span ratios are in the range between 0.1 and 0.2. The cross section of the arch member is either uniform or variable along the longitudinal axis. Combined use of steels of different grade, longitudinal residual stresses and the initial lateral crookedness of the arch members are considered. Subject to the limitations for which it was derived, the proposed formula is shown to be sufficiently accurate for preliminary design purposes.

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References

1.
Johnston, B. G., Guide to Stability Design Criteria for Metal Structures, 3rd edition, John Wiley & Sons, Inc., New York, N.Y., 1976.
2.
Komatsu, S., and Sakimoto, T., “Ultimate Load Carrying Capacity of Steel Arches,” Journal of the Structural Division, ASCE, Vol. 103, No. ST12, Proc. Paper 13424, Dec., 1977, pp. 2323–2336.
3.
Lin, F. J., Glauser, E. C., and Johnston, B. C., “Behavior of Laced and Battened Structural Members,” Journal of the Structural Division, ASCE, Vol. 96, No. ST7, Proc. Paper 7404, July, 1970, pp. 1377–1401.
4.
Östlund, L., “Lateral Stability of Bridge Arches Braced with Transverse Bars,” Transactions, Royal Institute of Technology, Stockholm, Sweden, Nr. 84, 1954.
5.
“Recommendations for Steel Constructions,” European Convention for Constructional Steelwork, Vol. 1, 2, June, 1976.
6.
Rondal, J., and Maquoi, R., “Single Equation for SSRC Column‐Strength Curves,” Journal of the Structural Division, ASCE, Vol. 105, No. ST1, Jan., 1979, pp. 247–250.
7.
Sakimoto, T., and Komatsu, S., “Ultimate Load Carrying Capacity of Steel Arches with Initial Imperfections,” presented at the April, 1977, 2nd International Colloquium on Stability of Steel Structures, held at Liege, Belgium, Preliminary Report, pp. 545–550.
8.
Sakimoto, T. and Komatsu, S., “A Possibility of Total Breakdown of Bridge Arches due to Premature Buckling of Lateral Bracings,” presented at the April, 1977, 2nd International Colloquium on Stability of Steel Structures, held at Liege, Belgium, Final Report, pp. 299–301.
9.
Sakimoto, T., “Elasto‐Plastic Finite Displacement Analysis of Three Dimensional Structures and Its Application to Design of Steel Arch Bridges,” thesis presented to Osaka University at Osaka, Japan, in 1979, in partial fulfillment of the requirements for the degree of Doctor of Engineering.
10.
Sakimoto, T., and Komatsu, S., “Ultimate Strength of Steel Arches Under Lateral Loads,” Proceedings, Japan Society of Civil Engineers, No. 292, Dec., 1979, pp. 83–94.
11.
Sakimoto, T., and Komatsu, S., “Ultimate Strength of Arches with Bracing Systems,” Journal of the Structural Division, ASCE, Vol. 108, No. ST5, May, 1982, pp. 1064–1076.
12.
Specifications for Highway Bridges, Japan Road Association, Tokyo, Japan, Feb., 1973, pp. 286–288 and p. 69 (in Japanese).

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 109Issue 3March 1983
Pages: 613 - 627

History

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

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Authors

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Tatsuro Sakimoto
Assoc. Prof., Dept. of Civ. Engrg., Kumamoto Univ., Kumamoto, Japan
Sadao Komatsu
Prof., Dept. of Civ. Engrg., Osaka Univ., Osaka, Japan

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