Engineering Transactions, 17, 4, pp. 669-692, 1969

Nośność graniczna powłoki walcowej obciążonej liniowo-zmiennym ciśnieniem i silą osiową

W. Wojewódzki
Politechnika Warszawska

H. Stolarski
Politechnika Warszawska

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.
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E. T. ONAT, The plastic collapse of shells under axially symmetrical loading, Quart. Appl. Math., 13 (1955), 63 - 72.

P. G. HODGE, Jr., The rigid-plastic analysis of symmetrically loaded cylindrical shells, J. Appl. Mech., 21 (1954), 336 - 342.

D. C. DRUCKER and R. T. SHIELD, Limit analysis of symmetrically loaded thin shells of revolution, J. Appl. Mech., 26 (1959), 61 - 68.

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.

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.

P. G. HODGE, Jr., Plastic design of a closed cylindrical structure, J. Mech. Phys. Solids, 12, 1/1966.

Praca zbiorowa pod redakcja W. OLSZAKA, P. PERZYNY i A. SAWCZUKA, Teoria plastyczności, Warszawa 1965.

P. G. HODGE, Jr., Limit analysis of rotationally symmetric plates and shells, Prentice-Hall, Inc. Englewood Cliffs, New York 1963.

M. JANAS I J.A. KÖNIG, Nośność graniczna powłok, przekrycia i zbiorniki, Biblioteka Inż. i Bud., 16, Warszawa 1968.