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Matrix Structural Analysis

1982; ASM International; Volume: 104; Issue: 3 Linguagem: Inglês

10.1115/1.3256379

0161-8458

W. McGuire, Richard H. Gallagher, H. Saunders,

troduction of computers has been accompanied by a decrease in cost plus an increase in accuracy.This book goes a long way in perfecting the solution of beam and frame problems.This revised edition revamps a number of sections, consolidates others, and makes the topic more homogeneous and palatable to study.A number of new sections have been added to enhance the value of matrix methods employed in solving frame and beam problems.The initial chapter introduces the basic concepts of framed structure and includes superposition procedure, introduction to flexibility and stiffness matrices.New sections include energy concepts, theory of vertical work, and equilibrium of joint loads.There is an update of one of the examples.This is a good introductory chapter which could be read by all interested.Chapter II delves into flexibility method.Although used less frequently now than in previous years it is still one of the foundations of stiffness method.Contained herein are discussions on joint displacements, support reactions, and flexibility of prismatic members.A new added section in this edition is the formalization of the flexibility method.Chapter III extends the stiffness method of the first edition by consolidating a number of sections that were previously scattered.This chapter introduces the rudiments of stiffness matrices and methods.Considered are the stiffness of prismatic members, alterations due to temperature, prestrains, support displacements plus the formalization of the stiffness method.This chapter is mandatory reading for those wanting to learn and understand the rudiments of the stiffness method.Chapter IV leads us by proper formulization of the stiffness method via computer-oriented techniques.The direct stiffness method represents the finite element that we now use and understand.This homogeneous chapter considers such topics as complete member stiffness matrices, formation of load vectors, rotation of axes in two dimensions, analysis of plane frames, grid member stiffnesses, space truss member stiffnesses, and space frame analysis.This is a lengthy chapter but everything is well explained.Plaudits to the authors for their lucid description of a well put-together chapter.The authors revamp the computer programming from the previous edition.Fortran programming and flow charts are explained.The explanation includes preparation of data plus a vivid description of the computer programs applied to continuous beam, plane truss, plane frame, space truss, and space frame.The neophyte as well as the experienced analyst would surely benefit from reading this chapter.The last chapter, which varies little from the first edition, concludes the book with additional topics on the stiffness method.This chapter includes rectangular framing, support displacement, elastic supports, translation of axis, nonprismatic members, and elastic connections.Though this is a very important chapter, the reviewer would have preferred seeing an expanded section on elastic connections.The appendices consider displacement of framed structures and end actions for restrained members.A complete new section on computer routines for solving equations has been incorporated including sub-programs, a decided plus.In summary, this is not an ordinary book on matrix methods.It includes a number of salient points in understanding the fundamentals of the stiffness method.The reviewer would have preferred seeing an introductory chapter on finite elements in two-dimensional plate problems.A chapter on dynamic analysis of beams and frames would add greatly to this book.The reviewer recommends the book to those interested and actively engaged in direct displacement method.