Structural Analysis, Fourth Edition , SI Edition

Front Cover......Page 1
Title Page......Page 6
Copyright......Page 7
Contents......Page 10
Preface to the SI Edition......Page 16
Preface......Page 17
PART ONE: INTRODUCTION TO STRUCTURAL ANALYSIS AND LOADS......Page 20
1 Introduction to Structural Analysis......Page 22
1.1 Historical Background......Page 23
1.2 Role of Structural Analysis in Structural Engineering Projects......Page 25
1.3 Classification of Structures......Page 26
1.4 Analytical Models......Page 31
Summary......Page 35
2 Loads on Structures......Page 36
2.1 Dead Loads......Page 37
2.2 Live Loads......Page 40
2.4 Wind Loads......Page 43
2.5 Snow Loads......Page 51
2.6 Earthquake Loads......Page 54
2.9 Load Combinations......Page 56
Summary......Page 57
Problems......Page 58
PART TWO: ANALYSIS OF STATICALLY DETERMINATE STRUCTURES......Page 60
3.1 Equilibrium of Structures......Page 62
3.2 External and Internal Forces......Page 65
3.4 Static Determinacy, Indeterminacy, and Instability......Page 66
3.5 Computation of Reactions......Page 79
3.6 Principle of Superposition......Page 97
3.7 Reactions of Simply Supported Structures Using Proportions......Page 98
Summary......Page 99
Problems......Page 101
4 Plane and Space Trusses......Page 108
4.1 Assumptions for Analysis of Trusses......Page 110
4.2 Arrangement of Members of Plane Trusses—Internal Stability......Page 114
4.4 Static Determinacy, Indeterminacy, and Instability of Plane Trusses......Page 119
4.5 Analysis of Plane Trusses by the Method of Joints......Page 125
4.6 Analysis of Plane Trusses by the Method of Sections......Page 140
4.7 Analysis of Compound Trusses......Page 147
4.8 Complex Trusses......Page 152
4.9 Space Trusses......Page 153
Summary......Page 163
Problems......Page 164
5 Beams and Frames: Shear and Bending Moment......Page 179
5.1 Axial Force, Shear, and Bending Moment......Page 180
5.2 Shear and Bending Moment Diagrams......Page 186
5.3 Qualitative Deflected Shapes......Page 191
5.4 Relationships between Loads, Shears, and Bending Moments......Page 192
5.5 Static Determinacy, Indeterminacy and Instability of Plane Frames......Page 214
5.6 Analysis of Plane Frames......Page 220
Summary......Page 234
Problems......Page 236
6 Deflections of Beams: Geometric Methods......Page 245
6.1 Differential Equation for Beam Deflection......Page 246
6.2 Direct Integration Method......Page 249
6.3 Superposition Method......Page 252
6.4 Moment-Area Method......Page 253
6.5 Bending Moment Diagrams by Parts......Page 267
6.6 Conjugate-Beam Method......Page 272
Problems......Page 288
7 Deflections of Trusses, Beams, and Frames: Work–Energy Methods......Page 294
7.1 Work......Page 295
7.2 Principle of Virtual Work......Page 297
7.3 Deflections of Trusses by the Virtual Work Method......Page 301
7.4 Deflections of Beams by the Virtual Work Method......Page 312
7.5 Deflections of Frames by the Virtual Work Method......Page 320
7.6 Conservation of Energy and Strain Energy......Page 331
7.7 Castigliano’s Second Theorem......Page 335
7.8 Betti’s Law and Maxwell’s Law of Reciprocal De.ections......Page 344
Summary......Page 345
Problems......Page 347
8 Influence Lines......Page 356
8.1 Influence Lines for Beams and Frames by Equilibrium Method......Page 357
8.2 Müller-Breslau’s Principle and Qualitative Influence Lines......Page 372
8.3 Influence Lines for Girders with Floor Systems......Page 386
8.4 Influence Lines for Trusses......Page 396
8.5 Influence Lines for Deflections......Page 408
Summary......Page 411
Problems......Page 412
9.1 Response at a Particular Location Due to a Single Moving Concentrated Load......Page 420
9.2 Response at a Particular Location Due to a Uniformly Distributed Live Load......Page 422
9.3 Response at a Particular Location Due to a Series of Moving Concentrated Loads......Page 427
9.4 Absolute Maximum Response......Page 434
Summary......Page 440
Problems......Page 441
10 Analysis of Symmetric Structures......Page 444
10.1 Symmetric Structures......Page 445
10.2 Symmetric and Antisymmetric Components of Loadings......Page 451
10.3 Behavior of Symmetric Structures under Symmetric and Antisymmetric Loadings......Page 462
10.4 Procedure for Analysis of Symmetric Structures......Page 466
Summary......Page 474
Problems......Page 475
PART THREE: ANALYSIS OF STATICALLY INDETERMINATE STRUCTURES......Page 478
11 Introduction to Statically Indeterminate Structures......Page 480
11.1 Advantages and Disadvantages of Indeterminate Structures......Page 481
11.2 Analysis of Indeterminate Structures......Page 484
Summary......Page 489
12 Approximate Analysis of Rectangular Building Frames......Page 490
12.1 Assumptions for Approximate Analysis......Page 491
12.2 Analysis for Vertical Loads......Page 494
12.3 Analysis for Lateral Loads—Portal Method......Page 500
12.4 Analysis for Lateral Loads—Cantilever Method......Page 516
Summary......Page 523
Problems......Page 524
13 Method of Consistent Deformations—Force......Page 527
13.1 Structures with Single Degree of Indeterminacy......Page 528
13.2 Internal Forces and Moments as Redundants......Page 550
13.3 Structures with Multiple Degrees of Indeterminacy......Page 563
13.4 Support Settlements, Temperature Changes and Fabrication Errors......Page 587
Summary......Page 596
Problems......Page 597
14 Three-Moment Equation and the Method of Least Work......Page 605
14.1 Derivation of Three-Moment Equation......Page 606
14.2 Application of Three-Moment Equation......Page 611
14.3 Method of Least Work......Page 618
Summary......Page 625
Problems......Page 626
15 Influence Lines for Statically Indeterminate Structures......Page 628
15.1 Influence Lines for Beams and Trusses......Page 629
15.2 Qualitative Influence Lines by Müller-Breslau’s Principle......Page 646
Summary......Page 650
Problems......Page 651
16 Slope-Deflection Method......Page 654
16.1 Slope-Deflection Equations......Page 655
16.2 Basic Concept of the Slope-Deflection Method......Page 663
16.3 Analysis of Continuous Beams......Page 670
16.4 Analysis of Frames without Sidesway......Page 692
16.5 Analysis of Frames with Sidesway......Page 700
Problems......Page 721
17 Moment-Distribution Method......Page 726
17.1 Definitions and Terminology......Page 727
17.2 Basic Concept of the Moment-Distribution Method......Page 736
17.3 Analysis of Continuous Beams......Page 744
17.4 Analysis of Frames without Sidesway......Page 760
17.5 Analysis of Frames with Sidesway......Page 763
Summary......Page 780
Problems......Page 781
18 Introduction to Matrix Structural Analysis......Page 786
18.1 Analytical Model......Page 787
18.2 Member Stiffness Relations in Local Coordinates......Page 791
18.3 Coordinate Transformations......Page 799
18.4 Member Stiffness Relations in Global Coordinates......Page 805
18.5 Structure Stiffness Relations......Page 806
18.6 Procedure for Analysis......Page 814
Summary......Page 832
Problems......Page 833
Appendix A: Areas and Centroids of Geometric Shapes......Page 836
B.1 Definition of a Matrix......Page 840
B.2 Types of Matrices......Page 841
B.3 Matrix Operations......Page 843
B.4 Solution of Simultaneous Equations by the Gauss-Jordan Method......Page 850
Problems......Page 854
Inputting Data......Page 856
Results of the Analysis......Page 863
Problems......Page 868
Bibliography......Page 870
Answers to Selected Problems......Page 872
Index......Page 882