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Entirely original material rubs shoulders with other work that has already seen the light of day in the form of previous versions of articles and chapters in books, normally in languages other than English. Some of the earlier material formed part of a wider research project that was completed in 2017 and for which the author was awarded a Ph.D. in History by the Complutense University of Madrid. However, there were many other incentives for writing the book and it has benefitted from finding numerous allies along the way. 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Kaveh 205 $aSecond edition. 210 1$aChichester, England ;$aHertfordshire, England :$cJohn Wiley & Sons, Ltd :$cResearch Studies Press Limited,$d2006. 210 4$d©2006 215 $a1 online resource (534 p.) 225 1 $aRSP ;$vv.24 300 $aDescription based upon print version of record. 311 $a1-322-11025-5 311 $a0-470-03015-1 320 $aIncludes bibliographical references and indexes. 327 $aOptimal Structural Analysis ; Copyright; Contents; Foreword of the first edition; Preface; List of Abbreviations; Chapter 1 Basic Concepts and Theorems of Structural Analysis; 1.1 Introduction; 1.1.1 Definitions; 1.1.2 Structural Analysis and Design ; 1.2 General Concepts of Structural Analysis; 1.2.1 Main Steps of Structural Analysis; 1.2.2 Member Force and Displacements; 1.2.3 Member Flexibility and Stiffness Matrices; 1.3 Important Structural Theorems; 1.3.1 Work and Energy; 1.3.2 Castigliano's Theorem; 1.3.3 Principle of Virtual Work; 1.3.4 Contragradient Principle 327 $a1.3.5 Reciprocal Work TheoremExercises; Chapter 2 Static Indeterminacy and Rigidity of Skeletal Structures; 2.1 Introduction ; 2.2 Mathematical Model of a Skeletal Structure; 2.3 Expansion Process for Determining the Degree of Statical Indeterminacy; 2.3.1 Classical Formulae; 2.3.2 A Unifying Function; 2.3.3 An Expansion Process; 2.3.4 An Intersection Theorem; 2.3.5 A Method for Determining the DSI of Structures; 2.4 The DSI of Structures: Special Methods; 2.5 Space Structures and their Planar Drawings; 2.5.1 Admissible Drawing of a Space Structure; 2.5.2 The DSI of Frames 327 $a2.5.3 The DSI of Space Trusses2.5.4 A Mixed Planar drawing - Expansion Method; 2.6 Rigidity of Structures; 2.7 Rigidity of Planar Trusses; 2.7.1 Complete Matching Method; 2.7.2 Decomposition Method; 2.7.3 Grid-form Trusses with Bracings; 2.8 Connectivity and Rigidity; Exercises; Chapter 3 Optimal Force Method of Structural Analysis; 3.1 Introduction; 3.2 Formulation of the Force Method; 3.2.1 Equilibrium Equations; 3.2.2 Member Flexibility Matrices; 3.2.3 Explicit Method for Imposing Compatibility; 3.2.4 Implicit Approach for Imposing Compatibility; 3.2.5 Structural Flexibility Matrices 327 $a3.2.6 Computational Procedure3.2.7 Optimal Force Method; 3.3 Force Method for the Analysis of Frame Structures; 3.3.1 Minimal and Optimal Cycle Bases; 3.3.2 Selection of Minimal and Subminimal Cycle Bases; 3.3.3 Examples; 3.3.4 Optimal and Suboptimal Cycle Bases; 3.3.5 Examples; 3.3.6 An Improved Turn-Back Method for the Formation of Cycle Bases; 3.3.7 Examples; 3.3.8 An Algebraic Graph-Theoretical Method for Cycle Basis Selection; 3.3.9 Examples; 3.4 Conditioning of the Flexibility Matrices; 3.4.1 Condition Number; 3.4.2 Weighted Graph and an Admissible Member 327 $a3.4.3 Optimally Conditioned Cycle Bases3.4.4 Formulation of the Conditioning Problem; 3.4.5 Suboptimally Conditioned Cycle Bases; 3.4.6 Examples; 3.4.7 Formation of B0 and B1 matrices; 3.5 Generalised Cycle Bases of a Graph; 3.5.1 Definitions; 3.5.2 Minimal and Optimal Generalized Cycle Bases; 3.6 Force Method for the Analysis of Pin-jointed Planar Trusses; 3.6.1 Associate Graphs for Selection of a Suboptimal GCB; 3.6.2 Minimal GCB of a Graph; 3.6.3 Selection of a Subminimal GCB: Practical Methods; 3.7 Force Method of Analysis for General Structures 327 $a3.7.1 Flexibility Matrices of Finite Elements 330 $aThis second edition of the highly acclaimed and successful first edition, deals primarily with the analysis of structural engineering systems, with applicable methods to other types of structures. 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