CONTENTS 0. INTRODUCTION 1-10 0.1.Historical 1 0.2. Key Issues 1 0.3. Strength and Stability 2 0.4. Serviceability 2 0.5. Detorminacy 3 0.6. Compatibility 7 0.7. Types of Analysis 9 0.8. Non Linearity 9 0.9. Analysis Software 10 1.DEFLECTION OF DETERMINATE STRUCTURES 11-47 1.1. General 11 1.2. Principle of Virtual Work 11 1.3. Method of Virtual Forces 12 1.4. Deflections of Pin Joined Plane Frames Procedure for Analysis 13 1.5. Deflection of Beams and Rigid Plane Frames 26 1.6. Deflection of Trusses 39 Problems 44 2.SLOPE DEFLECTION METHOD 48-110 2.1. Introduction 48 2.2.Sign Convention 49 2.3. Slope Deflection Equations 49 2.4. Employing Slope Deflection Equations 50 2.5. Analysis of Continuous Beams and Frames 50 2.6. Portal Frames with Side Sway 80 Problems 104 3.MOMENT DISTRIBUTION METHOD 1 1 1-229 3.1. Introduction 111 3.2. Fundamental Propositions 111 3.3. Moment Distribution Procedure 113 3.4. Sinking of Supports 135 3.5. Frames without Sway 141 3.6. Bending Moment Diagrams of Structural Frames 142 3.7. Frames with Sway 176 3.8. Symmetry and Anti Symmetry 199 3.9. Cantilever Moment Distribution (Naylor's Method) 213 Problems 221 4.MATRIX FLEXIBILITY METHOD 230-296 4.1. Matrix Methods 230 4.2. Elementary Concepts 230 4.3. Developing Flexibility Matrices of Determinate Structures 239 4.4. Flexibility Matrices of Indeterminate Structures 260 4.5. Analysing Structures by Flexibility Method 265 4.6. Forces not at Co-ordinates 269 4.7. [b] Matrix for Pin Jointed Trusses 284 Problems 290 5.MATRIX STIFFNESS METHOD 297-369 5.1. Notations 297 5.2. Introduction 297 5.3. Kinematic Indeterminacy 297 5.4. Generating Stiffness Matrices 299 5.5. Combining Stiffnesses 308 5.6. Generating Stiffness Matrices Directly 311 5.7. Analysis using Stiffness Method 326 5.8. How to Assign Co-ordinates 331 5.9. Analysis of Rigid Jointed Frames 343 5.10. Analysis of Pin Jointed Frames 361 Problems 365 6.MODEL ANALYSIS 370-386 6.1. Introduction 370 6.2. Similitude 371 6.3. Determination of Scale Factors 374 6.4. Derivation of Various Scale Factors 374 6.5. Buckingham's K Theorem 381 Problems 386 7.STRAIN ENERGY METHOD 387-403 7.1. Introduction 387 7.2. Flexural Members 387 Problems 403 8. KANI'S METHOD 404-440 8.1. Introduction 404 8.2. Terminology 404 8.3. Fundamental Equations 405 8.4.Kani's Iteration Procedure for Beams 407 8.5. Kani's Procedure for Frames 423 Problems 440 Table 1 441 Table 2 442 Bibliography 443 Index 444-446