Limit Design of Axisymmetric Shells with Application to Cellular Cofferdams
Publication: Journal of Engineering Mechanics
Volume 122, Issue 10
Abstract
This paper is devoted to the limit design of cellular cofferdams that are regarded as mixed structures where the backfill is modeled as a three-dimensional continuum, while the surrounding sheet pile wall is treated as a cylindrical shell. Dealing with this structure from a static point of view, it turns out that the problem under consideration requires the calculation of the ultimate load value of a circular cylindrical shell subjected to a linearly varying pressure distribution representing the thrust of the backfill material. Extending the results of previous works, a complete solution to this problem is developed for different boundary conditions. The corresponding results are discussed, notably the influence of the shell relative thickness. They are applied to the design of a single cellular cofferdam whose stability under gravity forces is examined, with the strength of the granular backfill material being described by a Mohr-Coulomb criterion.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bowles, J. E. (1977). Foundation analysis and design . McGraw-Hill Book Co., Inc., New York, N.Y.
2.
Chen, W. F., and Han, D. J. (1988). Plasticity for structural engineers . Springer-Verlag New York, Inc., New York, N.Y.
3.
Dormieux, L., and Delaurens, C. (1991). “Stabilité d'une cellule de gabion sous poids propre.”Revue Française de Géotechnique, 55, 47–61 (in French).
4.
Drucker, D. C. (1954). “Limit analysis of cylindrical shells under axially-symmetric loading.”Proc., 1st Midw. Conf. Solid. Mech., ASME, New York, N.Y., 158–163.
5.
Drucker, D. C., and Shield, R. T. (1959). “Limit analysis of symmetrically loaded thin shells of revolution.”J. Appl. Mech., 26(March), 61–68.
6.
Eason, G., and Shield, R. T.(1955). “The influence of free ends on the load carrying capacities of cylindrical shells.”J. Mech. and Phys. of Solids, 4, 17–27.
7.
Hodge, P. G. Jr.(1954). “The rigid-plastic analysis of symmetrically loaded shells.”J. Appl. Mech., 21, 336–342.
8.
Hodge, P. G. Jr. (1963). Limit analysis of rotationnally symmetric plates and shells . Prentice-Hall ser. in Theoretical and Appl. Mech., Prentice-Hall Inc., Englewood Cliffs, N.J.
9.
Lacroix, Y., Esriq, M. I., and Luscher, U. (1970). “Design, construction, and performance of cellular cofferdams.”Proc., Lateral Stresses in the Ground and Design of Earth-Retaining Structures, ASCE, New York, N.Y., 271–328.
10.
Olszak, W., and Sawczuk, A. (1959). Die grenztragfähigkeit von zylindrischen schalen bei verscheidenen formen der plastizitätsbedingung.”Acta Technica Academiæ Scientiarum Hungaricae, t XXVI, (1–2), 55–77 (in German).
11.
Onat, E. T., and Prager, W.(1954). “Limit analysis of shells of revolution.”Proc., Roy. Netherlands Acad. Sci., series B, 57, 534–548.
12.
Salençon, J. (1983). Calcul á la rupture et analyse limite . Presses de l'École Nationale des Ponts et Chaussées, Paris, France (in French).
13.
Salençon, J.(1990). “An introduction to the yield design theory and its application to soil mechanics.”Eur. J. Mech., A/Solids, 5(9), 477–500.
14.
Salençon, J. (1993). “Yield design: a survey of the theory.”Evaluation of global bearing capacity of structures. Springer-Verlag New York, Inc., New York, N.Y.
15.
Save, M., and Massonnet, C. (1972). Calcul plastique des constructions . Vol. II, Structures dépendant de plusieurs paramétres, CBLIA, Bruxelles, Belgium (in French).
Information & Authors
Information
Published In
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Oct 1, 1996
Published in print: Oct 1996
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.