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SUMMARYPresented in this paper is a direct method of analysis of the elastic non-linear behaviour of frames. Emphasis is given to the method's capability of tracing the post-buckling path from a bifurcation point although the method can also trace the non-linear behaviour of frames with eccentricities. The method is proposed as an alternative to the main methods currently in use, the perturbation method and the incremental method. Conditions for equilibrium and stability are developed from a variational approach to the total potential. A finite element approximation is made and an efficient solution technique for the resulting non-linear equations is developed.Results for three frames are given demonstrating good agreement with solutions generated from other approaches.

New version with SI features a more thorough treatment of elasticity and plasticity, many new problems, and several new topics, including energy methods; the use of computers for structural mechanics problems; hydrostatic forces; the use of indicia! notation; newer materials; and additional remarks on fatigue.Experimental Stress Analysis, by J. W. Dally and W. F. Riley, 2nd edition, McGraw-Hill, NY, 1978. 576 pp., $26.00 (tentative). ISBN 015204-7. Solutions Manual (015205-7) Emphasizes theory and covers principal methods: brittle coating, strain gages, photoelasticity, moire. Second edition reflects changes of past decade, non-flammable coatings, ceramic based brittle coatings developments in instrumentation and data processing for strain gaging, and expanded sections on methods. Covers the interests of industry design organizations, special research establishments, academic institutions and manufacturers. CorrosionThe journal provides articles on the latest Soviet advances in research, design and construction of new types of energy machinery, as well as up-to-the-minute progress reports of ongoing projects. Major subject headings are: boiler installations and energy units (for both fossil fuel and nuclear power plant applications); gas turbines; steam turbines; hydro turbines; diesel engines; compressors and pumps; heat exchangers' automation and control systems; and materials and production technology. Finite element methods have progressed from the research departments to the design department. Originally, finite element methods were centered about structural analysis, but have since migrated and expanded to geomechanics, fluid dynamics, heat transfer, and fluid flow problems. Yesteryear, simple problems with simple boundary conditions were the order of the day. Today, the more complicated problems tend to become routine design problems. However, research still continues in determining better finite element formulations in the above disciplines. Theoretical Foundations of NonlinearA symposium was held in Australia which dealt with a number of the above subjects. The conference proceedings were published as a single volume, entitled "Finite Element Methods in Engineering." This volume is divided into six main categories which contain papers dealing with the many applications of the finite element technique. These sections are summarized as follows:Part I: Beam Theory. The five papers report on convergence of finite elements in structural analysis, reduction of numerical errors in finite element solutions, and extension of solutions to more general boundary conditions utilizing unconstrained quadratic functionals. The latter merits further study, since it shows how to couple dissimilar types of finite elements; i.e., linear and quadratic isoparametric types. The section concludes with a basic function in finite elements (patch method and orthogonal collocation), and considers uniform convergence of variational finite elements, including the Ritz method.Part II: Linear Structural Mechanics. This is the longe...

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