Optimal structural analysis / A. Kaveh.

Format:

Book

Author/Creator:

Kaveh, A. (Ali), 1948- author.

Series:

RSP

RSP ; v.24

Language:

English

Subjects (All):

Structural analysis (Engineering).

Structural optimization.

Physical Description:

1 online resource (534 p.)

Edition:

Second edition.

Place of Publication:

Chichester, England ; Hertfordshire, England : John Wiley & Sons, Ltd : Research Studies Press Limited, 2006.

Language Note:

English

Summary:

This 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. The concepts presented in the book are not only relevant to skeletal structures but can equally be used for the analysis of other systems such as hydraulic and electrical networks. The book has been substantially revised to include recent developments and applications of the algebraic graph theory and matroids.

Contents:

Optimal 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

1.3.5 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

2.5.3 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

3.2.6 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

3.4.3 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

3.7.1 Flexibility Matrices of Finite Elements

Notes:

Description based upon print version of record.

Includes bibliographical references and indexes.

Description based on print version record.

ISBN:

9780470033326

0470033320

9780470033296

0470033290

OCLC:

890146621