Nośność Graniczna i Kształtowanie Wytrzymałościowe Płyt Pierścieniowych
analysed for any transverse load q acting in one direction and for various edge supports. The cases treated are those of outer or inner edge simply supported or clamped or having both edges simply supported. The Coulomb-Tresca yield condition and the rigid-plastic model are assumed for q = const. The results are represented in graphical form.
The second part of the paper is devoted to the minimum weight design. The problem is stated as a variational problem. The limit curve is assumed in the form of a polygon with rounded corners. The conditions for (strong) minimum value of the functional expression obtained are examined. It is seen that the condition of constant mean energy dissipation leads to a minimum for the corners A, F, C, D. The general considerations are illustrated by examples of plates subjected to the action of a load q= const and for various types of support.
References
[in Russian]
[in Russian]
H. G. Hopkins and W. Prager, The Load Carrying Capacities of Circular Plates, Journ. Mech. Phys. of Solids 2, 1, 1953, 1-13.
H. G. Hopkins and A, J. Wang, Load-Carrying Capacities for Circular Plates of Perfectly-Plastic Material with Arbitrary Yield Condition, Journ. Mech. Phys. of Solids 3,2 1954, 117-129.
W. Olszak, Z zagadnień podstawowych teorii nośności granicznej ptyt, Rozpr. Inz., 6 (1954).
W. Olszak and A. Sawczuk, Experimental Verification of the Theory of Limit Design of Plates, Bull. Acad. Pol. Sci., 4 (1955).
A. Sawczuk, Some Problems of Load Carrying Capacities of Orthotropic and Non-Homogeneous Plates, Arch. Mech. Stos. 4 (1958).
W. H. Pell and W. Prager, Limit Design of Plates, Proc. First Amer. Congr. Appl. Mech., Chicago 1951.
D. C. Drucker and H. G. Hopkins, Combined Concentrated and Distributed Load on Ideally-Plastic Circular Plates, Proc. 2nd U. S. Nat. Cong. Appl. Mech. ASME, 1954.
W. Prager, Singular Yield Conditions and Associated Flow Rules, Journ. Appl. Mech. 3 (1953).
H. G, Hopkins and W. Prager, Limits of Economy of Material in Plates, Journ. Appl. Mech. 22, 3, 372 (1955).
W. Freiberger and B. Tekinalp, Minimum Weight Design of Circular Plates, Journ. Mech. Phys. of Solids, 4 (1956), 294-299.
D. C. Drucker and R. T. Shield, Design for Minimum Weight, Proc. 9th Intern. Congr. Appl. Mech., Brussels, 1956.
D. C. Drucker and R. T. Shield, Bounds on Minimum Weight, Quart. Appl. Math., Vol. 16, 3 (1957).
E. T. Onat, W. Shumann, and R. T. Shield, Design of Circular Plates for Minimum Weight, Z. A. M. P., 1957.
w. Prager, Minimum Weight Design of Plates, De Ing. 67, 1955, 0.141-0.142.
Z. Brzoska, Płyty kołowe o równomiernej wytrzymałości przy obciążeniu osiowym-symetrycznym, Arch. Bud. Masz. 1, 1954; 251-272.
[in Russian]
[in Russian]