Engineering Transactions, 27, 2, pp. 219-244, 1979

A Systematic Study of Load Carrying Capacity of Rotationally Symmetric Plates with the Huber-Mises Yeld Condition

J. Sokół-Supel
Institute of Fundamental Technological Research, Warszawa

A. Sawczuk
Institute of Fundamental Technological Research, Warszawa

Rotationally symmetric bending of rigid-plastic plates is considered, a technique of solving the plastic plate equations is developed, and a systematic presentation of design data for plates obeying the Huber-Mises yield condition is given. The proposed numerical procedure is presented first. It concerns arbitrarily loaded circular and annular plates. The collection of tables and diagrams is then given, allowing to evaluate the load carrying capacities of rotationally symmetric metal plates subjected either to pressure varying with radial coordinate or to wedge loads. The paper gives a unified presentation of the theory and desing data for circular plates made of the Huber-Mises material.

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W. PRAGER, An introduction to plasticity, Addison-Wesley, Reading, Mass., 1959.

P.G. HODGE, Jr., Plastic analysis of structures, McGraw Hill, New York 1959.

A. SAWCZUK, Th. JAEGER, Grenztragfähigkeits-Theorie der Platten, Springer, Berlin 1963.

P. G. HODGE, Jr., Plastic analysis of rotationally symmetric plates and shells, Prentice Hall, Englewood Cliffs, N.J, 1963.

D. NIEPOSTYN, Nośność graniczna płyt kołowo-symetrycznych, Biblioteka Inżynierii i Budownictwa, 3, Arkady, Warszawa 1963.

S. KALISZKY, Vasbeton lemezek méretezése a képlékenységtan szerint, Müszaki Konyvkiado, Budapest 1967.

M.A. SAVE, C. E. MASSONNET, Plastic analysis and design of plates, shells and disks, North-Holland, Amsterdam 1972.

A. SAWCZUK, Plastic plates, CISM Lecture Notes, Udine 1974.

H. G. HOPKINS, A.J. WANG, Load-carrying capacities for circular plates of perfectly-plastic material with arbitrary yield condition, J. Mech. Phys. Solids, 3, 117-129, 1954.

G. EASON, Velocity fields for circular plates with the von Mises yield condition, J. Mech. Phys. Solids, 6, 231-235, 1958.

A. OSCHATZ, Bestimmung der Traglast yon Kreis und Kreisringplatten mit Berücksichtigung der Querkraftschubspannungen, Z. ang. Math. Mech., 48, 325-332, 1968.

H. GÜNTHER, G. BRAUNING, Die Traglast rotationssymmetrisch belasterer Kreisplatten mit radial veründerlicher Plattendicke und Fliessspannung, Wiss. Z. d. Techn. Hochsch. Karl-Marx-Stadt, 10, 579-581, 1968.

H. GÜNTHER, G. BRAÜNING, Zur Traglast anisotroper Kreisplatten, Wiss. Z. d. Tech. Hochsch, Karl-Marx-Stadt, 14, 587-592, 1972.

G. GUERLEMENT, D.O. LAMBLIN, Analyse limite de plaques circulaires avec la condition de plasticité de von Mises, Bull. Tech. Suisse Romande, 98, 1-8, 1972.

J. SOKÓŁ-SUPEL, A. GRABARSKI, A. SAWCZUK, Nośność graniczna metalowych płyt kołowych, Prace IPPT, 41/1975, Warszawa 1975.

J. SOKÓŁ-SUPEL, Numeryczna metoda wyznaczania nośności granicznej płyt kołowo-symetrycznych, Rozpr. Inż., 26, 1, 179-191, 1978.

R. J. ROARK, Formulas for stress and strain, McGraw-Hill, New York 1965.

V. V. SOKOLOVSKI, Elastic-plastic bending of circular and annular plates (in Russian), Prikl. Math. Mekh., 8, 141-166, 1944.

V. V. SOKOLOVSKI, Theory of plasticity (in Russian), Nauka, Moscow 1969.

Y. OHASHI, S. MURAKAMI, Study on the axisymmetric elasto-plastic deformation of thin plates, Mem. Fac. Engng. Nagoya Univ., 20, 355-433, 1968.

Y. OSHASHI, S. MURAKAMI, Axisymmetric elasto-plastic deformation of circular plates under combined action of lateral load and membrane force, Mem. Fac. Engng, Nagoya Univ., 21, 79-121, 1969.

R. M. HAYTHORTHWAITE, The deflection of plates in the elastic-plastic range, Proc. 2nd US Nat. Congr. Appl. Mech. (Ann Arbor, 1954), ASME 521-526, New York 1955.

A. A. ILIUSHIN, Plasticity (in Russian) Gostiechizdat, Moscow 1948.