Preface 

iii  

Types of Structures and Loads 


3  (24) 


3  (1) 

Classification of Structures 


4  (5) 


9  (13) 


22  (5) 


23  (4) 

Analysis of Statically Determinate Structures 


27  (40) 


27  (10) 

Principle of Superposition 


37  (1) 


38  (1) 

Determinacy and Stability 


39  (7) 

Application of the Equations of Equilibrium 


46  (10) 

Analysis of Simple Diaphragm and Shear Wall Systems 


56  (11) 


58  (9) 

Analysis of Statically Determinate Trusses 


67  (54) 


67  (6) 

Classification of Coplanar Trusses 


73  (7) 


80  (4) 


84  (2) 


86  (6) 


92  (4) 


96  (10) 


106  (15) 


107  (14) 

Internal Loadings Developed in Structural Members 


121  (42) 

Internal Loadings at a Specified Point 


121  (6) 

Shear and Moment Functions 


127  (5) 

Shear and Moment Diagrams for a Beam 


132  (10) 

Shear and Moment Diagrams for a Frame 


142  (4) 

Moment Diagrams Constructed by the Method of Superposition 


146  (17) 


150  (13) 


163  (20) 


163  (1) 

Cable Subjected to Concentrated Loads 


164  (2) 

Cable Subjected to a Uniform Distributed Load 


166  (6) 


172  (1) 


173  (10) 


178  (5) 

Influence Lines for Statically Determinate Structures 


183  (54) 


183  (8) 

Influence Lines for Beams 


191  (3) 

Qualitative Influence Lines 


194  (8) 

Influence Lines for Floor Girders 


202  (4) 

Influence Lines for Trusses 


206  (4) 


210  (2) 

Maximum Influence at a Point Due to a Series of Concentrated Loads 


212  (10) 

Absolute Maximum Shear and Moment 


222  (15) 


226  (11) 

Approximate Analysis of Statically Indeterminate Structures 


237  (32) 

Use of Approximate Methods 


237  (1) 


238  (4) 

Vertical Loads on Building Frames 


242  (3) 

Portal Frames and Trusses 


245  (5) 

Lateral Loads on Building Frames: Portal Method 


250  (6) 

Lateral Loads on Building Frames: Cantilever Method 


256  (13) 


262  (7) 


269  (84) 

Deflection Diagrams and the Elastic Curve 


269  (3) 


272  (2) 

The Double Integration Method 


274  (6) 


280  (9) 


289  (8) 

External Work and Strain Energy 


297  (3) 

Principle of Work and Energy 


300  (1) 

Principle of Virtual Work 


301  (2) 

Method of Virtual Work: Trusses 


303  (7) 

Method of Virtual Work: Beams and Frames 


310  (11) 

Virtual Strain Energy Caused by Axial Load, Shear, Torsion, and Temperature 


321  (6) 


327  (1) 

Castigliano's Theorem for Trusses 


328  (5) 

Castigliano's Theorem for Beams and Frames 


333  (20) 


339  (14) 

Analysis of Statically Indeterminate Structures by the Force Method 


353  (50) 

Statically Indeterminate Structures 


353  (3) 

Force Method of Analysis: General Procedure 


356  (4) 

Maxwell's Theorem of Reciprocal Displacements; Betti's Law 


360  (1) 

Force Method of Analysis: Beams 


361  (9) 

Force Method of Analysis: Frames 


370  (4) 

Force Method of Analysis: Trusses 


374  (3) 


377  (2) 

Additional Remarks on the Force Method of Analysis 


379  (1) 

The ThreeMoment Equation 


380  (6) 

Influence Lines for Statically Indeterminate Beams 


386  (3) 

Qualitative Influence Lines for Frames 


389  (14) 


396  (7) 

Displacement Method of Analysis: SlopeDeflection Equations 


403  (36) 

Displacement Method of Analysis: General Procedures 


403  (2) 

SlopeDeflection Equations 


405  (6) 


411  (8) 

Analysis of Frames: No Sidesway 


419  (5) 

Analysis of Frames: Sidesway 


424  (15) 


432  (7) 

Displacement Method of Analysis: Moment Distribution 


439  (34) 

General Principles and Definitions 


439  (4) 

Moment Distribution for Beams 


443  (9) 

StiffnessFactor Modifications 


452  (6) 

Moment Distribution for Frames: No Sidesway 


458  (2) 

Moment Distribution for Frames: Sidesway 


460  (13) 


468  (5) 

Analysis of Beams and Frames Consisting of Nonprismatic Members 


473  (24) 

Deflections of Nonprismatic Members 


474  (2) 

Loading Properties of Nonprismatic Members Using the ConjugateBeam Method 


476  (8) 

Loading Properties of Nonprismatic Members Available from Publications 


484  (2) 

Moment Distribution for Structures Having Nonprismatic Members 


486  (6) 

SlopeDeflection Equations for Nonprismatic Members 


492  (5) 


494  (3) 

Truss Analysis Using the Stiffness Method 


497  (36) 

Fundamentals of the Stiffness Method 


497  (3) 


500  (1) 

Displacement and Force Transformation Matrices 


501  (3) 

Member Global Stiffness Matrix 


504  (1) 


505  (5) 

Application of the Stiffness Method for Truss Analysis 


510  (8) 


518  (4) 

Trusses Having Thermal Changes and Fabrication Errors 


522  (6) 


528  (5) 


530  (3) 

Beam Analysis Using the Stiffness Method 


533  (20) 


533  (1) 

BeamMember Stiffness Matrix 


533  (4) 


537  (1) 

Application of the Stiffness Method for Beam Analysis 


537  (16) 


550  (3) 

Plane Frame Analysis Using the Stiffness Method 


553  (14) 

FrameMember Stiffness Matrix 


553  (2) 

Displacement and Force Transformation Matrices 


555  (2) 

FrameMember Global Stiffness Matrix 


557  (1) 

Application of the Stiffness Method for Beam and Frame Analysis 


558  (9) 


565  (2) 
A Matrix Algebra for Structural Analysis 

567  (13) 

Basic Definitions and Types of Matrices 


567  (2) 


569  (5) 


574  (2) 


576  (2) 

The Gauss Method for Solving Simultaneous Equations 


578  (2) 


579  (1) 
B The STRAN 4 Computer Program 

580  (4) 
Answers to Selected Problems 

584  (10) 
Index 

594  