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Structural Analysis Si
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For courses in Structural Analysis.

This book provides students with a clear and thorough presentation of the theory and application of structural analysis as it applies to trusses, beams, and frames. Emphases are placed on teaching students to both model and analyse a structure. Procedures for Analysis, Hibbeler's problem solving methodologies provide student with a logical, orderly method to follow when applying theory.

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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 26 2 Analysis of Statically Determinate Structures 33 2.1 Idealized Structure 33 2.2 Principle of Superposition 46 2.3 Equations of Equilibrium 47 2.4 Determinacy and Stability 48 2.5 Application of the Equations of Equilibrium 59 3 Analysis of Statically Determinate Trusses 79 3.1 Common Types of Trusses 79 3.2 Classification of Coplanar Trusses 85 3.3 The Method of Joints 94 3.4 Zero-Force Members 98 3.5 The Method of Sections 104 3.6 Compound Trusses 110 3.7 Complex Trusses 116 3.8 Space Trusses 120 4 Internal Loadings Developed in Structural Members 133 4.1 Internal Loadings at a Specified Point 133 4.2 Shear and Moment Functions 139 4.3 Shear and Moment Diagrams for a Beam 150 4.4 Shear and Moment Diagrams for a Frame 163 4.5 Moment Diagrams Constructed by the Method of Superposition 168 5 Cables and Arches 181 5.1 Cables 181 5.2 Cable Subjected to Concentrated Loads 182 5.3 Cable Subjected to a Uniform Distributed Load 184 5.4 Arches 194 5.5 Three-Hinged Arch 195 6 Influence Lines for Statically Determinate Structures 205 6.1 Influence Lines 205 6.2 Influence Lines for Beams 213 6.3 Qualitative Influence Lines 216 6.4 Influence Lines for Floor Girders 228 6.5 Influence Lines for Trusses 232 6.6 Maximum Influence at a Point due to a Series of Concentrated Loads 240 6.7 Absolute Maximum Shear and Moment 250 7 Approximate Analysis of Statically Indeterminate Structures 263 7.1 Use of Approximate Methods 263 7.2 Trusses 264 7.3 Vertical Loads on Building Frames 270 7.4 Portal Frames and Trusses 273 7.5 Lateral Loads on Building Frames: Portal Method 282 7.6 Lateral Loads on Building Frames: Cantilever Method 288 8 Deflections 299 8.1 Deflection Diagrams and the Elastic Curve 299 8.2 Elastic-Beam Theory 305 8.3 The Double Integration Method 307 8.4 Moment-Area Theorems 316 8.5 Conjugate-Beam Method 326 9 Deflections Using Energy Methods 341 9.1 External Work and Strain Energy 341 9.2 Principle of Work and Energy 345 9.3 Principle of Virtual Work 346 9.4 Method of Virtual Work: Trusses 348 9.5 Castigliano's Theorem 355 9.6 Castigliano's Theorem for Trusses 356 9.7 Method of Virtual Work: Beams and Frames 364 9.8 Virtual Strain Energy Caused by Axial Load, Shear, Torsion, and Temperature 375 9.9 Castigliano's Theorem for Beams and Frames 381 10 Analysis of Statically Indeterminate Structures by the ForceMethod 395 10.1 Statically Indeterminate Structures 395 10.2 Force Method of Analysis: General Procedure 398 10.3 Maxwell's Theorem of Reciprocal Displacements; Betti's Law 402 10.4 Force Method of Analysis: Beams 403 10.5 Force Method of Analysis: Frames 411 10.6 Force Method of Analysis: Trusses 422 10.7 Composite Structures 425 10.8 Additional Remarks on the Force Method of Analysis 428 10.9 Symmetric Structures 429 10.10 Influence Lines for Statically Indeterminate Beams 435 10.11 Qualitative Influence Lines for Frames 438 11 Displacement Method of Analysis: Slope-Deflection Equations 451 11.1 Displacement Method of Analysis: General Procedures 451 11.2 Slope-Deflection Equations 453 11.3 Analysis of Beams 459 11.4 Analysis of Frames: No Sidesway 469 11.5 Analysis of Frames: Sidesway 474 12 Displacement Method of Analysis: Moment Distribution 487 12.1 General Principles and Definitions 487 12.2 Moment Distribution for Beams 491 12.3 Stiffness-Factor Modifications 500 12.4 Moment Distribution for Frames: No Sidesway 508 12.5 Moment Distribution for Frames: Sidesway 510 13 Beams and Frames Having Nonprismatic Members 523 13.1 Loading Properties of Nonprismatic Members 523 13.2 Moment Distribution for Structures Having Nonprismatic Members 528 13.3 Slope-Deflection Equations for Nonprismatic Members 534 14 Truss Analysis Using the Stiffness Method 539 14.1 Fundamentals of the Stiffness Method 539 14.2 Member Stiffness Matrix 542 14.3 Displacement and Force Transformation Matrices 543 14.4 Member Global Stiffness Matrix 546 14.5 Truss Stiffness Matrix 547 14.6 Application of the Stiffness Method for Truss Analysis 552 14.7 Nodal Coordinates 560 14.8 Trusses Having Thermal Changesand Fabrication Errors 564 14.9 Space-Truss Analysis 570 15 Beam Analysis Using the Stiffness Method 575 15.1 Preliminary Remarks 575 15.2 Beam-Member Stiffness Matrix 577 15.3 Beam-Structure Stiffness Matrix 579 15.4 Application of the Stiffness Method for Beam Analysis 579 16 Plane Frame Analysis Using the Stiffness Method 595 16.1 Frame-Member Stiffness Matrix 595 16.2 Displacement and Force Transformation Matrices 597 16.3 Frame-Member Global Stiffness Matrix 599 16.4 Application of the Stiffness Method for Frame Analysis 600 Appendices A. Matrix Algebra for Structural Analysis 612 B. General Procedure for Using Structural Analysis Software 625 Answers to Selected Problems Index

About the Author

R.C. Hibbeler graduated from the University of Illinois at Urbana with a BS in Civil Engineering (major in Structures) and an MS in Nuclear Engineering. He obtained his PhD in Theoretical and Applied Mechanics from Northwestern University. Hibbeler's professional experience includes postdoctoral work in reactor safety and analysis at Argonne National Laboratory, and structural work at Chicago Bridge and Iron, as well as Sargent and Lundy in Tucson. He has practiced engineering in Ohio, New York, and Louisiana. Hibbeler currently teaches at the University of Louisiana, Lafayette. In the past he has taught at the University of Illinois at Urbana, Youngstown State University, Illinois Institute of Technology, and Union College.

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