Abstract
The problem solved in the present paper is that of the limit load of a cylindrical shell with clamped edges, subject to the action of a linearly variable pressure and an axial force. The yield surface used is the surface described in Ref. 2, and derived on the grounds of the Tresca yield criterion for a layered wall. Three cases are considered, corresponding to three variability regions of the axial force f. These are -1 < f < -1/2 and 1/2 < f < 1, f= +/-1, -1/2 <f <0 and 0 < f < 1/2. The conditions of static and kinematic admissibility of the solution are established. Other subjects of the discussion are the role of the parameter w characterizing the geometrical form of the shell and the influence of the non-uniformity of the load on the. accuracy of the curves of limit load obtained. Numerical examples are given for f = 0 and ω = 1 in order to illustrate the computation procedure and the way in which the region containing the accurate curve of limit load can be reduced.References
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2. P. G. HODGE, Jr., The rigid-plastic analysis of symmetrically loaded cylindrical shells, J. Appl. Mech., 21 (1954), 336 - 342.
3. D. C. DRUCKER and R. T. SHIELD, Limit analysis of symmetrically loaded thin shells of revolution, J. Appl. Mech., 26 (1959), 61 - 68.
4. P.G. HODGE, Jr., and J. PANARELLI, Interaction curves for circular cylindrical shells according to the Mises or Tresca yield criterion, J. Appl. Mech., 29 (1962), 375 - 380.
5. J. PANARELLI and P.G. HODGE, Jr., Plastic analysis of cylindrical shells under pressure, axial load and torque, Proc. 8th Midw. Mech. Conf., Cleveland, 1963.
6. P. G. HODGE, Jr., Plastic design of a closed cylindrical structure, J. Mech. Phys. Solids, 12, 1/1966.
7. Praca zbiorowa pod redakcja W. OLSZAKA, P. PERZYNY i A. SAWCZUKA, Teoria plastyczności, Warszawa 1965.
8. P. G. HODGE, Jr., Limit analysis of rotationally symmetric plates and shells, Prentice-Hall, Inc. Englewood Cliffs, New York 1963.
9. M. JANAS I J.A. KÖNIG, Nośność graniczna powłok, przekrycia i zbiorniki, Biblioteka Inż. i Bud., 16, Warszawa 1968.