ASM Solution of Stiffened Sector Plates
Publication: Journal of Engineering Mechanics
Volume 113, Issue 12
Abstract
This study extends the application of the Analytical Strip Method (ASM) of solution to stiffened sector plates. The plate is idealized as a system of horizontally curved plate strips and beam or rib segments rigidly connected to each other. The behavior of the system is derived by imposing the edge and continuity conditions on the closed‐form solutions of the individual plate strips and beam elements. The method is applicable to plate‐stiffener systems subjected to various loading conditions and with different boundary conditions along the straight and circular edges. The advantage of the ASM solution over the “equivalent” orthotropic plate substitute is that unequally spaced stiffeners and stiffeners of different cross‐sectional properties can be introduced in the solution. Results are presented for stiffened sectors with different edge and loading conditions.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Barve, V. D., and Dey, S. S. (1983). “Isoparametric finite difference energy method for plate bending problems.” Computers and Structures 17(3), 459–465.
2.
Bell, L. C., and Heins, C. P. (1968). “The solution of curved bridge systems using the slope‐deflection Fourier series method.” Civ. Engrg. Report No. 19. Univ. of Maryland, College Park, Md., June.
3.
Cheung, Y. K. (1969). “The analysis of cylindrical orthotropic curved bridge decks.” Int. Assoc. for Bridges and Struct. Engrg. 29(2), 41–51.
4.
Dey, S. S., and Samuel, A. T. (1980). “Static analysis of orthotropic curved bridge decks.” Computers and Structures 12(2), 161–166.
5.
Dey, S. S. (1980). “Finite strip method of analysis for orthotropic curved bridge decks.” Proc., Inst. of Civ. Engrs., 69, Part 2, June, 511–519.
6.
Haddad, B. F., and Harik, I. E. (1985). “Stiffened and continuous orthotropic sector plates and horizontally curved bridge decks.” Civ. Engrg. Res. Report No. UKCE8504. Univ. of Kentucky, Lexington, Ky., Aug. 71 pp.
7.
Harik, I. E. (1984a). “Analytical solution to orthotropic sector.” J. Engrg. Mech., ASCE, 110(4), 554–568.
8.
Harik, I. E. (1984b). Discussion of “General solution to bending of orthotropic sectors,” by Carol Rubin J. Engrg. Mech., ASCE, 110(1), 153–154.
9.
Harik, I. E., and Pashanasangi, S. (1984). “Influence of the state of orthotropy on the bending of sector plates.” SECTAM XII, 12th Southeastern Conf. on Theoretical and Appl. Mech., held at Callaway Gardens, Pine Mountain, Ga., May 10–11, 329–333.
10.
Harik, I. E., and Pashanasangi, S. (1985). “Curved bridge decks: analytical strip solution.” J. Struct. Engrg., ASCE, 111(7), 1517–1532.
11.
Heins, C. P. (1976). Applied plate theory for the engineer. Lexington Books, Lexington, Mass.
12.
Heins, C. P., and Hails, R. L. (1969). “Behavior of stiffened curved plate model.” J. Struct. Div., ASCE, 95(11), 2353–2370.
13.
Pashanasangi, S., and Harik, I. E. (1985). “Bending of orthotropic sector plates and horizontally curved bridge decks.” Civ. Engrg. Res. Report No. UKCE8501. Univ. of Kentucky, Lexington, Ky., March, 132 pp.
14.
Sawko, F. (1969). “Computer analysis of grillages curved in plan.” Int. Assoc. for Bridges and Struct. Engrg., 29, 41–52.
15.
“Specifications for the design, fabrication and erection of structural steel for buildings with commentary.” (1980). Manual of steel construction, 8th ed., American Institute of Steel Construction.
16.
Timoshenko, S., and Woinowsky‐Krieger, S. (1959). Theory of plates and shells, 2nd ed., McGraw‐Hill, New York, N.Y.
17.
Troitsky, M. S. (1976). Stiffened plates, bending, stability and vibrations. Elsevier, New York, N.Y.
18.
Vlasov, V. Z. (1961). Thin‐walled elastic beams, 2nd ed., National Science Foundation, Washington, D.C.
Information & Authors
Information
Published In
Copyright
Copyright © 1987 ASCE.
History
Published online: Dec 1, 1987
Published in print: Dec 1987
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.