Interaction Diagram and Load Effects for Vertical Pile Groups with Application to the AASHTO LRFD
Publication: Journal of Structural Engineering
Volume 132, Issue 3
Abstract
In this paper, a procedure is proposed for calculating the interaction diagram of a vertical pile group subject to axial load and biaxial moments; equations are then applied to the AASHTO LRFD code. Several cases are presented, depending on the efficiency of the pile group, and it is shown that the interaction diagram can be a pentahedron, a hexahedron, an octahedron, a nonahedron, or a decahedron. It is shown how the use of convex analysis and computational geometry leads to a rational calculation of the load effects and of the relationship between load effects and an interaction diagram. When the design entails evaluating several design alternatives, the methods of computational geometry yield a fivefold to tenfold computational saving with respect to considering all load combinations. A simple numerical example shows the application of the proposed procedure in a typical design setting, and highlights the advantages of the proposed procedure.
Get full access to this article
View all available purchase options and get full access to this article.
References
AASHTO. (2004). AASHTO LRFD bridge design dpecifications, 3rd Ed., Washington, D.C.
Bakelman, I. J. (1991). Convex analysis and non-linear geometric elliptic equations, Springer, New York.
Bernardini, A., and Vescovi, U. (1982). Tecnica delle Costruzioni: Sicurezza e Non Linearità delle Strutture, CLEUP, Padova, Italy.
British Software Institution (BSI). (2002). FB Pier user’s manual, ⟨http://bsi-web.ce.ufl.edu/⟩.
Colandrea, A. F. (1985). “Unsymmetrically reinforced concrete columns.” Proc., Structural Design, Cementitious Products, and Case Histories, ASCE, New York, 83–94.
Daniali, S., and Paramanantham, N. S. (1994). “Concrete columns reinforced with fiber reinforced plastic rebars.” Proc., Third Materials Engineering Conf., K. D. Basham, ed., ASCE, New York, 567–574.
de Berg, M., Van Kreveld, M., and Schwarzkopf, O. (2000). Computational geometry: Algorithms and applications, 2nd Ed., Springer, New York.
Goodman, J. E., and O’Rourke, J. (1997). Handbook of discrete and computational geometry, CRC, Boca Raton, Fla.
Kolman, B., and Beck, R. E. (1995). Elementary linear programming with applications, Academic, New York.
Liew, R. J. Y., Shanmugam, N. E., and Lee, S. L. (1989). “Tapered box columns under biaxial loading.” J. Struct. Eng., 115(7), 1697–1710.
O’Rourke, J. (1995). Computational geometry in C, Cambridge University Press, Cambridge, U.K.
Preparata, F. P., and Shamos, M. I. (1990). Computational geometry: An introduction, Springer, New York.
Rodriguez, J. A., and Aristizabal-Ochoa, J. D. (1999). “Biaxial interaction diagrams for short RC columns of any cross section.” J. Struct. Eng., 125(6), 672–683.
Sack, J.-R., and Urrutia, J., eds. (2000). Handbook of computational geometry, Elsevier, New York.
Somayaji, S. (1985). “Composite beam design using interaction diagram.” J. Struct. Eng., 111(4), 933–938.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 132 • Issue 3 • March 2006
Pages: 460 - 470
Copyright
© 2006 ASCE.
History
Received: Apr 6, 2004
Accepted: Mar 22, 2005
Published online: Mar 1, 2006
Published in print: Mar 2006
Notes
Note. Associate Editor: Shahram Sarkani
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.