Elastic Stability of Cylindrical Shells with Weld Depressions
Publication: Journal of Structural Engineering
Volume 115, Issue 5
Abstract
Metal silos and tanks are subject to axial compressive stresses in their cylindrical shell walls. The buckling strength is very sensitive to geometric imperfections in the wall. The most regular and well‐defined imperfection is the local depression adjacent to a circumferential weld, caused by the plate rolling process and shrinkage of the weld.
This paper examines the elastic buckling strengths of thin cylindrical shells under axial compression, with imperfections arising at circumferential welded joints. The effects of the welded joint depression amplitude, the shell radius‐to‐thickness ratio, a change of shell plate thickness at the weld, and internal pressurization are all examined. The study is confined to cylinders with a radius‐to‐thickness ratio in excess of 100, as thicker shells are rare for these structures. It is shown that a welded joint depression is one of the most deleterious practical imperfection forms currently known.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Amazigo, J. C. (1969). “Buckling under axial compression of long cylindrical shells with random axisymmetric imperfections.” Q. Appl. Math., 26, 537–566.
2.
Amazigo, J. C. (1974). “Buckling of stochastically imperfect structures.” Buckling of structures, B. Budiansky, ed., Springer, New York, N.Y. 172–182.
3.
Amazigo, J. C., and Budiansky, B. (1972). “Asymptotic formulas for the buckling stresses of axially compressed cylinders with localized or random axisymmetric imperfections.” J. Appl. Mech., Transactions of the American Society of Mechanical Engineers, E‐39, 179–184.
4.
Arbocz, J. (1974). “The effect of initial imperfections on shell stability.” Thin shell structures, Y. C. Fung and E. E. Sechler, Eds., Prentice Hall, Englewood Cliffs, N.J., 205–246.
5.
Arbocz, J. (1982). “The imperfection data bank: a means to obtain realistic buckling loads.” Buckling of shells, E. Ramm, Ed., Springer Verlag, Berlin, 535–567.
6.
Arbocz, J. (1983). “Shell stability analysis: theory and practice.” Collapse, J. M. T. Thompson and G. W. Hunt, Eds., Cambridge University Press, Cambridge, England, 43–74.
7.
Arbocz, J., and Babcock, C. D. (1969). “The effect of general imperfections on the buckling of cylindrical shells.” J. Appl. Mech., 36, 28–38.
8.
Arbocz, J., and Sechler, E. E. (1974). “On the buckling of axially compressed imperfect cylindrical shells.” J. Appl. Mech., Transactions of the American Society of Mechanical Engineers, 41, 737–743.
9.
Babcock, J., adn Sechler, E. E. (1963). “The effect of initial imperfections on the buckling stress of cylindrical shells.” NASA TN D‐2005.
10.
Baker, E. H., Kovalevsky, L., and Rish, F. L. (1972). Structural analysis of shells. McGraw‐Hill, New York, N.Y.
11.
Bodarski, Z., Hotala, E., and Pasternak, H. (1985). “Zur beurteilung der tragfahigkeit von metallsilos.” Bauingenieur, 60, 49–52 (in German).
12.
Bornscheuer, F. W., Hafner, L., and Ramm, E. (1983). “Zur stabilitat eines kreiszylinders mit einer rundschweissnaht unter axialbelastung (On the stability of a circular cylinder with a circumferential weld and axial load).” Der Stahlbau, 52, Helft 11 (in German).
13.
Bornscheuer, F. W., and Hafner, L. (1983). “The influence of an imperfect circumferential weld on the buckling strength of axially loaded circular cylindrical shells.” Prelim. Report, 3rd International Colloquium on Stability of Metal Structures, Paris, 407–414.
14.
Calladine, C. R. (1983). Theory of shell structures. Cambridge University Press, Cambridge, England.
15.
Clarke, M. J., and Rotter, J. M. (1988). “A technique for the measurement of imperfections in prototype silos and tanks.” Research Report R565, School of Civil and Mining Engineering, University of Sydney, Australia.
16.
Elishakoff, I. (1983). “How to introduce the imperfection sensitivity concept into design.” Collapse, J. M. T. Thompson and G. W. Hunt, Eds., Cambridge University Press, Cambridge, England, 345–358.
17.
Engineering Sciences Data Unit (1974). “Buckling stress coefficients for thin‐walled unstiffened circular cylinders under combined axial compression and internal pressure.” Sheet 04.01.01 A, London.
18.
Esslinger, M., and Geier, B. (1974). “Calculated postbuckling loads as lower limits for the buckling loads of thin‐walled circular cylinders.” Buckling of structures, B. Budiansky, Ed., Springer, New York, N.Y., 274–290.
19.
Esslinger, M., Geier, B., and Wood, J. G. M. (1977). “Some complements to the ECCS design code concerning isotropic cylinders.” Prelim. Report, 2nd International Colloquium on Stability of Steel Structures, Liege.
20.
European Convention for Constructional Steelwork (1977). “Manual on the stability of steel structures.” Introductory Report, 2nd International Colloquium on Stability of Steel Structures, Liege, April.
21.
European Convention for Constructional Steelwork (1983). “Recommendations for steel construction: buckling of shells.” Second Ed., ECCS, Brussels.
22.
Fersht, R. S. (1974). “Buckling of cylindrical shells with random imperfections.” Thin shell structures, Y. C. Fung and E. E. Sechler, Eds., Prentice Hall, Englewood Cliffs, N.J, 325–341.
23.
Fung, Y. C., and Sechler, E. E. (1957). “Buckling of thin‐walled circular cylinders under axial compression and internal pressure.” J. Aeronaut. Sci., 24(5), 351–56.
24.
Hoff, N. J., and Soong, T. C. (1967). “Buckling of axially compressed cylindrical shells with non‐uniform boundary conditions.” Symp. on Thin Walled Steel Structures, University College, Swansea, 61–80.
25.
Hutchinson, J. W. (1965). “Axial buckling of pressurised imperfect cylindrical shells.” J. AIAA Jnl., 3, 1461–1466.
26.
Hutchinson, J. W., and Koiter, W. T. (1970). “Postbuckling theory.” Appl. Mech. Reviews, 23, 1353–1366.
27.
Hutchinson, J. W., and Tennyson, R. C., and Muggeridge, D. B. (1971). “Effect of a local axisymmetric imperfection on the buckling behavior of a circular cylindrical shell under axial compression.” AIAA Jnl., 9(1), 48–53.
28.
Koiter, W. T. (1945). “On the stability of elastic equilibrium,” thesis presented to the University of Delft, in partial fulfillment of the requirements for the degree of Doctor of Philosophy (in Dutch), (see also Translation AFFDL‐TR‐70‐25 Wright Patterson Air Force Base 1970).
29.
Koiter, W. T. (1963). “The effect of axisymmetric imperfections on the buckling of cylindrical shells under axial compression.” B66, 265–279.
30.
Lo, H., Crate, H., and Schwartz, E. B. (1947). “Buckling of thin‐walled cylinders under axial compression and internal pressure.” NACA Report 874.
31.
Odland, J. (1978). “Buckling resistance of unstiffened and stiffened circular cylindrical shell structures.” Norwegian Maritime Research, 6(3), 2–20.
32.
Pederson, P. T. (1974). “On the collapse load of cylindrical shells.” Buckling of structures, B. Budiansky, Ed., Springer, New York, N.Y.
33.
Rotter, J. M. (1985). “Buckling of ground‐supported cylindrical steel bins under vertical compressive wall loads.” Proc., Metal Structures Conf., Inst. Engrs. Aust., Melbourne, May, 112–127.
34.
Rotter, J. M., and Seide, P. (1987). “On the design of unstiffened cylindrical shells subject to axial load and internal pressure.” Proc., International Colloquium on Stability of Plate and Shell Structures, Ghent, April.
35.
Rotter, J. M., and Teng, J. G. (1988). “Elastic stability of lap‐jointed cylindrical shells under axial compression.” Research Report R562, School of Civil and Mining Engineering, University of Sydney, Australia.
36.
Singer, J., Muggeridge, D. B., and Babcock, C. D. (1971). “Buckling of imperfect stiffened cylindrical shells under axial compression.” AIAA Jnl., 9, 68–75.
37.
Teng, J. G., and Rotter, J. M. (1988a). “Elastic‐plastic large deflection analysis of axisymmetric shells.” Comp. Struct. (accepted for publication).
38.
Teng, J. G., and Rotter, J. M. (1988b). “Non‐symmetric bifurcation of geometrically nonlinear elastic‐plastic axisymmetric shells subject to combined loads including torsion.” Research Report R561, School of Civil and Mining Engineering, University of Sydney, Australia.
39.
Tennyson, R. C., and Muggeridge, D. B. (1969). “Buckling of axisymmetric imperfect circular cylindrical shells under axial compression.” AIAA Jnl., 7(11), 2127–2131.
40.
Trahair, N. S., et al. (1983). Structural design of steel bins for bulk solids, Australian Institute of Steel Construction, Sydney, Australia.
41.
Vandepitte, D. (1981). “The background to the new ECCS recommendations for shell buckling.” Buckling of shells in offshore structures, J. E. Harding, P. J. Dowling and N. Agelidis, Eds., Granada, 473–490.
42.
Yamaki, N. (1984). Elastic stability of circular cylindrical shells. North Holland.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 115 • Issue 5 • May 1989
Pages: 1244 - 1263
Copyright
Copyright © 1989 ASCE.
History
Published online: May 1, 1989
Published in print: May 1989
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.