Structural analysis. Vol.2
Vaidyanathan, R.
Structural analysis. Vol.2 - Ed. 2 - New Delhi Laxmi Publications [P] Ltd. 2010 - x,451,ip.
CONTENTS 1ROLLING LOADS 1-47 1.1 Introduction 1 1.2 Simply Supported Beams 1 2 INFLUENCE LINES 48-93 2.1 Introduction 48 2.2 Definition and Illustrations 48 2.3 Getting the Influence Lines 49 2.4 Using Influence Lines 53 2.5 Influence Lines for Forces in Truss Members 81 Problems 92 3 INFLUENCE LINES FOR INDETERMINATE STRUCTURES 94-122 3.1 Introduction 94 3.2 Muller Breslau Principle 94 3.3 Application of Muller Breslau Principle to Determinate Structures 94 3.4 Muller Breslau Principle Extended to Indeterminate Structures 98 3.5 Indirect Model Analysis 110 Problems 121 4 ARCHES 123-180 4.1. Introduction 123 4.2. Hinges 123 4.3. Transfer of Load to Arches 123 4.4. Linear Arch 124 4.5. Hinges in an Arch 125 4.6. Arch Action 126 4.7. Horizontal Force 127 4.8. Three Hinged Arch 127 4.9. Circular Arches 136 4.10. Springs at Different Levels 140 4.11. Influence Lines for Three Hinged Arches 145 4.12. Maximum Bending Moment Diagrams 151 4.13. Two Hinged Arches 157 4.14. Influence Lines for a Parabolic Two Hinged Arch with I = IQ sec 9 165 4.15. Temperature Stresses in Arches 168 4.16. Two Hinged Circular Arches 171 4.17. Fixed Arches 172 Problems 178 5. CABLES AND SUSPENSION BRIDGES 181-223 5.1. Introduction 181 5.2. Cables 181 5.3. Ropeways and Bridges 182 5.4. Components and their Functions 183 5.5. Passing the Cable Over Pylons 184 5.6. Reactions, Tension and Length of Suspension Cable 185 5.7. Effect of Change in Temperature in Suspension Cables 198 5.8. Stiffening Girders-Necessity and Types 199 5.9. Influence Line Diagram for Cables with Three Hinged Stiffening Girders 209 5.10. Two Hinged Stiffening Girders 216 5.11. Influence Lines for H and w 217 5.12. Influence Lines for Mx and Sx 218 Problems 222 6 BEAMS CURVED IN PLAN 224-241 6.1 Introduction 224 6.2 Solving for Moment, Shear and Torsion 226 6.3 Sign Convention 226 6.4 Circular Beam on Several Supports 238 Problems 241 7 SPACE TRUSSES 242-267 7.1. Introduction 242 7.2. Basic Forms 243 7.3. Tension Coefficients 245 7.4. Method of Tension Coefficients 245 7.5. Extension of Tension Coefficient Method for Space Trusses 247 7.6 Analysis Procedure Using Tension Coefficients-2D Frames 247 7.7 Analysis Procedure for Space Frames 247 7.8 Guidelines on Joint Forces 259 Problems 265 8 PLASTIC ANALYSIS OF STRUCTURES 268-326 8.1 Introduction 268 8.2 Terrminology 268 8.3 Types of Mechanisms 289 8.4 Methods of Plastic Analysis 291 8.5 Load Factor 291 Problems 321 9. REDUNDANT FRAMES 327-378 9.1. Introduction 327 9.2. Redundancy 328 9.3. Methods of Solving Redudant Frames 334 9.4. Lack of Fit 349 9.5. Temperature Stresses 353 9.6. Trusses with Several Redundancies 358 9.7. Strain Energy Method 369 9.8. Trussed Beams 372 Problems 376 10. RAPID AND APPROXIMATE ANALYSIS OF BUILDING FRAMES 379-417 10.1. Introduction 379 10.2. Vertical Loads 379 10.3. Loading Cases 380 10.4. Lateral Loads 393 Problems 416 11. INTRODUCTION TO FINITE ELEMENT METHOD 418-446 11.1. Preamble 418 11.2. Terminology 419 11.3. Procedure 419 11.4. Discretisation 420 11.5. Element Functions 423 11.6. Selecting Element Fields 427 11.7. Developing Nodal Load Vectors 429 11.8. Numbering Systems 433 11.9. Assembling of Force Vectors and Stiffness Matrices 435 11.10. Computation of Nodal Displacements 439 11.11. Calculation of Primary Unknowns 441 11.12. Calculation of Secondary Unknowns 442 11.13. Advantages of Finite Element Method 443 11.14. Pitfalls of Finite Element Method 443 11.15. Convergence 444 11.16. Commonly Used F.E. Software 445 Problems 445 BIBLIOGRAPHY 447 INDEX 448-451
8131807827
624.171 / VAI
Structural analysis. Vol.2 - Ed. 2 - New Delhi Laxmi Publications [P] Ltd. 2010 - x,451,ip.
CONTENTS 1ROLLING LOADS 1-47 1.1 Introduction 1 1.2 Simply Supported Beams 1 2 INFLUENCE LINES 48-93 2.1 Introduction 48 2.2 Definition and Illustrations 48 2.3 Getting the Influence Lines 49 2.4 Using Influence Lines 53 2.5 Influence Lines for Forces in Truss Members 81 Problems 92 3 INFLUENCE LINES FOR INDETERMINATE STRUCTURES 94-122 3.1 Introduction 94 3.2 Muller Breslau Principle 94 3.3 Application of Muller Breslau Principle to Determinate Structures 94 3.4 Muller Breslau Principle Extended to Indeterminate Structures 98 3.5 Indirect Model Analysis 110 Problems 121 4 ARCHES 123-180 4.1. Introduction 123 4.2. Hinges 123 4.3. Transfer of Load to Arches 123 4.4. Linear Arch 124 4.5. Hinges in an Arch 125 4.6. Arch Action 126 4.7. Horizontal Force 127 4.8. Three Hinged Arch 127 4.9. Circular Arches 136 4.10. Springs at Different Levels 140 4.11. Influence Lines for Three Hinged Arches 145 4.12. Maximum Bending Moment Diagrams 151 4.13. Two Hinged Arches 157 4.14. Influence Lines for a Parabolic Two Hinged Arch with I = IQ sec 9 165 4.15. Temperature Stresses in Arches 168 4.16. Two Hinged Circular Arches 171 4.17. Fixed Arches 172 Problems 178 5. CABLES AND SUSPENSION BRIDGES 181-223 5.1. Introduction 181 5.2. Cables 181 5.3. Ropeways and Bridges 182 5.4. Components and their Functions 183 5.5. Passing the Cable Over Pylons 184 5.6. Reactions, Tension and Length of Suspension Cable 185 5.7. Effect of Change in Temperature in Suspension Cables 198 5.8. Stiffening Girders-Necessity and Types 199 5.9. Influence Line Diagram for Cables with Three Hinged Stiffening Girders 209 5.10. Two Hinged Stiffening Girders 216 5.11. Influence Lines for H and w 217 5.12. Influence Lines for Mx and Sx 218 Problems 222 6 BEAMS CURVED IN PLAN 224-241 6.1 Introduction 224 6.2 Solving for Moment, Shear and Torsion 226 6.3 Sign Convention 226 6.4 Circular Beam on Several Supports 238 Problems 241 7 SPACE TRUSSES 242-267 7.1. Introduction 242 7.2. Basic Forms 243 7.3. Tension Coefficients 245 7.4. Method of Tension Coefficients 245 7.5. Extension of Tension Coefficient Method for Space Trusses 247 7.6 Analysis Procedure Using Tension Coefficients-2D Frames 247 7.7 Analysis Procedure for Space Frames 247 7.8 Guidelines on Joint Forces 259 Problems 265 8 PLASTIC ANALYSIS OF STRUCTURES 268-326 8.1 Introduction 268 8.2 Terrminology 268 8.3 Types of Mechanisms 289 8.4 Methods of Plastic Analysis 291 8.5 Load Factor 291 Problems 321 9. REDUNDANT FRAMES 327-378 9.1. Introduction 327 9.2. Redundancy 328 9.3. Methods of Solving Redudant Frames 334 9.4. Lack of Fit 349 9.5. Temperature Stresses 353 9.6. Trusses with Several Redundancies 358 9.7. Strain Energy Method 369 9.8. Trussed Beams 372 Problems 376 10. RAPID AND APPROXIMATE ANALYSIS OF BUILDING FRAMES 379-417 10.1. Introduction 379 10.2. Vertical Loads 379 10.3. Loading Cases 380 10.4. Lateral Loads 393 Problems 416 11. INTRODUCTION TO FINITE ELEMENT METHOD 418-446 11.1. Preamble 418 11.2. Terminology 419 11.3. Procedure 419 11.4. Discretisation 420 11.5. Element Functions 423 11.6. Selecting Element Fields 427 11.7. Developing Nodal Load Vectors 429 11.8. Numbering Systems 433 11.9. Assembling of Force Vectors and Stiffness Matrices 435 11.10. Computation of Nodal Displacements 439 11.11. Calculation of Primary Unknowns 441 11.12. Calculation of Secondary Unknowns 442 11.13. Advantages of Finite Element Method 443 11.14. Pitfalls of Finite Element Method 443 11.15. Convergence 444 11.16. Commonly Used F.E. Software 445 Problems 445 BIBLIOGRAPHY 447 INDEX 448-451
8131807827
624.171 / VAI