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Structural Analysis in SI Units
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Table of Contents

1 Types of Structures and Loads 3 1.1 Introduction 3 1.2 Classification of Structures 4 1.3 Loads 9 1.4 Structural Design 28 Problems 29 Chapter Review 33 2 Analysis of Statically Determinate Structures 35 2.1 Idealized Structure 35 2.2 Load Path 48 2.3 Principle of Superposition 49 2.4 Equations of Equilibrium 50 2.5 Determinacy and Stability 51 2.6 Application of the Equations of Equilibrium 58 Fundamental Problems 68 Problems 70 Project Problem 79 Chapter Review 80 3 Analysis of Statically Determinate Trusses 83 3.1 Common Types of Trusses 83 3.2 Classification of Coplanar Trusses 89 3.3 The Method of Joints 96 3.4 Zero-Force Members 100 3.5 The Method of Sections 102 3.6 Compound Trusses 108 3.7 Complex Trusses 112 3.8 Space Trusses 116 Fundamental Problems 123 Problems 125 Project Problem 135 Chapter Review 136 4 Internal Loadings Developed in Structural Members 139 4.1 Internal Loadings at a Specified Point 139 4.2 Shear and Moment Functions 145 4.3 Shear and Moment Diagrams for a Beam 150 4.4 Shear and Moment Diagrams for a Frame 160 4.5 Moment Diagrams Constructed by the Method of Superposition 165 Fundamental Problems 170 Problems 174 Project Problem 184 Chapter Review 185 5 Cables and Arches 187 5.1 Cables 187 5.2 Cable Subjected to Concentrated Loads 188 5.3 Cable Subjected to a Uniform Distributed Load 190 5.4 Arches 196 5.5 Three-Hinged Arch 197 Problems 203 Chapter Review 209 6 Influence Lines for Statically Determinate Structures 211 6.1 Influence Lines 211 6.2 Influence Lines for Beams 219 6.3 Qualitative Influence Lines 222 6.4 Influence Lines for Floor Girders 230 6.5 Influence Lines for Trusses 234 6.6 Maximum Influence at a Point due to a Series of Concentrated Loads 238 6.7 Absolute Maximum Shear and Moment 248 Fundamental Problems 253 Problems 254 Project Problem 265 Chapter Review 266 7 Approximate Analysis of Statically Indeterminate Structures 269 7.1 Use of Approximate Methods 269 7.2 Trusses 270 7.3 Vertical Loads on Building Frames 274 7.4 Portal Frames and Trusses 277 7.5 Lateral Loads on Building Frames: Portal Method 282 7.6 Lateral Loads on Building Frames: Cantilever Method 288 Problems 294 Project Problem 301 Chapter Review 302 8 Deflections 305 8.1 Deflection Diagrams and the Elastic Curve 305 8.2 Elastic-Beam Theory 311 8.3 The Double Integration Method 313 8.4 Moment-Area Theorems 320 8.5 Conjugate-Beam Method 330 Fundamental Problems 338 Problems 342 Chapter Review 346 9 Deflections Using Energy Methods 349 9.1 external Work and Strain energy 349 9.2 Principle of Work and energy 353 9.3 Principle of Virtual Work 354 9.4 Method of Virtual Work: Trusses 356 9.5 Castiglianos Theorem 363 9.6 Castiglianos Theorem for Trusses 364 9.7 Method of Virtual Work: Beams and Frames 370 9.8 Virtual Strain energy Caused by Axial Load, Shear, Torsion, and Temperature 381 9.9 Castiglianos Theorem for Beams and Frames 387 Fundamental Problems 393 Problems 395 Chapter Review 402 10 Analysis of Statically Indeterminate Structures by the Force Method 405 10.1 Statically Indeterminate Structures 405 10.2 Force Method of Analysis: General Procedure 408 10.3 Maxwells Theorem of Reciprocal Displacements; Bettis Law 412 10.4 Force Method of Analysis: Beams 413 10.5 Force Method of Analysis: Frames 422 10.6 Force Method of Analysis: Trusses 426 10.7 Composite Structures 429 10.8 Additional Remarks on the Force Method of Analysis 432 10.9 Symmetric Structures 433 10.10 Influence Lines for Statically Indeterminate Beams 435 10.11 Qualitative Influence Lines for Frames 439 Fundamental Problems 446 Problems 447 Chapter Review 458 11 Displacement Method of Analysis: Slope-Deflection Equations 461 11.1 Displacement Method of Analysis: General Procedures 461 11.2 Slope-Deflection equations 463 11.3 Analysis of Beams 469 11.4 Analysis of Frames: No Sidesway 477 11.5 Analysis of Frames: Sidesway 482 Problems 490 Project Problem 495 Chapter Review 495 12 Displacement Method of Analysis: Moment Distribution 497 12.1 General Principles and Definitions 497 12.2 Moment Distribution for Beams 501 12.3 Stiffness-Factor Modifications 510 12.4 Moment Distribution for Frames: No Sidesway 516 12.5 Moment Distribution for Frames: Sidesway 518 Problems 526 Chapter Review 531 13 Beams and Frames Having Nonprismatic Members 533 13.1 Loading Properties of Nonprismatic Members 533 13.2 Moment Distribution for Structures Having Nonprismatic Members 538 13.3 Slope-Deflection equations for Nonprismatic Members 544 Problems 546 Chapter Review 547 14 Truss Analysis Using the Stiffness Method 549 14.1 Fundamentals of the Stiffness Method 549 14.2 Member Stiffness Matrix 552 14.3 Displacement and Force Transformation Matrices 553 14.4 Member Global Stiffness Matrix 556 14.5 Truss Stiffness Matrix 557 14.6 Application of the Stiffness Method for Truss Analysis 562 14.7 Nodal Coordinates 570 14.8 Trusses Having Thermal Changes and Fabrication errors 574 14.9 Space-Truss Analysis 580 Problems 582 Chapter Review 583 15 Beam Analysis Using the Stiffness Method 585 15.1 Preliminary Remarks 585 15.2 Beam-Member Stiffness Matrix 587 15.3 Beam-Structure Stiffness Matrix 589 15.4 Application of the Stiffness Method for Beam Analysis 589 Problems 602 16 Plane Frame Analysis Using the Stiffness Method 605 16.1 Frame-Member Stiffness Matrix 605 16.2 Displacement and Force Transformation Matrices 607 16.3 Frame-Member Global Stiffness Matrix 609 16.4 Application of the Stiffness Method for Frame Analysis 610 Problems 619 17 Structural Modeling and Computer Analysis 623 17.1 General Structural Modeling 623 17.2 Modeling a Structure and its Members 625 17.3 General Application of a Structural Analysis Computer Program 630 Computer Problems 635 Problems 636 Project Problems 637 Appendices A. Matrix Algebra for Structural Analysis 640 Fundamental Solutions 654 Answers to Selected Problems 680 Index 693

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