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| Dedication | |
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| Preface | |
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| Statically Determinate Structures | |
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| Introduction | |
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| Structural Analysis and Design | |
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| History of Structural Analysis | |
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| Basic Principles of Structural Analysis | |
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| Structural Components and Systems | |
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| Structural Forces | |
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| Structural Idealization (Line Diagrams) | |
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| Calculation Accuracy | |
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| Checks on Problems | |
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| Impact of Computers on Structural Analysis | |
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| Structural Loads | |
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| Introduction | |
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| Structural Safety | |
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| Specifications and Building Codes | |
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| Types of Structural Loads | |
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| Dead Loads | |
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| Live Loads | |
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| Live Load Impact Factors | |
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| Live Loads on Roofs | |
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| Rain Loads | |
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| Wind Loads | |
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| Simplified ASCE Procedure for Estimating Wind Loads | |
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| Detailed ASCE Procedure for Estimating Wind Loads | |
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| Seismic Loads | |
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| Equivalent Lateral Force Procedure for Estimating Seismic Loads | |
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| Snow Loads | |
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| Other Loads | |
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| Problems for Solution | |
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| System Loading and Behavior | |
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| Introduction | |
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| Tributary Areas | |
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| Influence Areas | |
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| Live Load Reduction | |
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| Loading Conditions for Allowable Stress Design | |
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| Loading Conditions for Strength Design | |
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| Concept of the Force Envelope | |
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| Problems for Solution | |
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| Reactions | |
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| Equilibrium | |
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| Moving Bodies | |
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| Calculation of Unknowns | |
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| Types of Support | |
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| Stability, Determinacy, and Indeterminacy | |
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| Unstable Equilibrium and Geometric Instability | |
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| Sign Convention | |
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| Free-Body Diagrams | |
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| Horizontal and Vertical Components | |
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| Reactions by Proportions | |
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| Reactions Calculated by Equations of Statics | |
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| Principle of Superposition | |
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| The Simple Cantilever | |
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| Cantilevered Structures | |
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| Reaction Calculations for Cantilevered Structures | |
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| Arches | |
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| Three-Hinged Arches | |
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| Uses of Arches and Cantilevered Structures | |
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| Cables | |
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| Problems for Solution | |
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| Shearing Force and Bending Moment | |
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| Introduction | |
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| Shear Diagrams | |
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| Moment Diagrams | |
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| Relations Among Loads, Shearing Forces, and Bending Moments | |
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| Moment Diagrams Drawn from Shear Diagrams | |
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| Shear and Moment Diagrams for Statically Determinate Frames | |
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| Shearing Force and Bending Moment Equations | |
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| Problems for Solution | |
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| Introduction to Plane Trusses | |
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| Introduction | |
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| Assumptions for Truss Analysis | |
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| Truss Notation | |
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| Roof Trusses | |
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| Bridge Trusses | |
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| Arrangement of Truss Members | |
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| Statical Determinacy of Trusses | |
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| Methods of Analysis and Conventions | |
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| Method of Joints | |
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| Computer Analysis of Statically Determinate Trusses | |
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| Example Computer Problem | |
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| Problems for Solution | |
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| Plane Trusses, Continued | |
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| Analysis by the Method of Sections | |
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| Application of the Method of Sections | |
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| Method of Shears | |
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| Zero-Force Members | |
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| When Assumptions Are Not Correct | |
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| Simple, Compound, and Complex Trusses | |
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| The Zero-Load Test | |
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| Stability | |
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| Equations of Condition | |
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| Problems for Solution | |
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| Three-Dimensional or Space Trusses | |
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| Introduction | |
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| Basic Principles | |
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| Equations of Static Equilibrium | |
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| Stability of Space Trusses | |
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| Special Theorems Applying to Space Trusses | |
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| Types of Support | |
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| Illustrative Examples | |
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| Solution Using Simultaneous Equations | |
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| Example Problem with SABLE32 | |
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| Problems for Solution | |
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| Influence Lines for Beams | |
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| Introduction | |
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| The Influence Line Defined | |
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| Influence Lines for Simple Beam Reactions | |
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| Influence Lines for Simple Beam Shearing Forces | |
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| Influence Lines for Simple Beam Moments | |
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| Qualitative Influence Lines | |
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| Uses of Influence Lines; Concentrated Loads | |
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| Uses of Influence Lines; Uniform Loads | |
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| Common Simple Beam Formulas from Influence Lines | |
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| Determining Maximum Loading Effects Using Influence Lines | |
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| Maximum Loading Effects Using Beam Curvature | |
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| Impact Loading | |
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| Problems for Solution | |
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| Truss Influence Lines and Moving Loads | |
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| Influence Lines for Trusses | |
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| Arrangement of Bridge Floor Systems | |
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| Influence Lines for Truss Reactions | |
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| Influence Lines for Member Forces of Parallel-Chord Trusses | |
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| Influence Lines for Members Forces of Nonparallel Chord Trusses | |
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| Influence Lines for K Truss | |
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| Determination of Maximum Forces | |
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| Counters in Bridge Trusses | |
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| Live Loads for Highway Bridges | |
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| Live Loads for Railway Bridges | |
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| Maximum Values for Moving Loads | |
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| Problems for Solution | |
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| Deflections and Angle Changes Using Geometric Methods | |
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| Introduction | |
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| Sketching Deformed Shapes of Structures | |
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| Reasons for Computing Deflections | |
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| The Moment-Area Theorems | |
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| Application of the Moment-Area Theorems | |
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| Analysis of Fixed-End Beams | |
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| Maxwell's Law of Reciprocal Deflections | |
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| Problems for Solution | |
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| Deflections and Angle Changes Using Geometric Methods Continued | |
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| The Method of Elastic Weights | |
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| Application of the Method of Elastic Weights | |
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| Limitations of the Elastic-Weight Method | |
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| Conjugate-Beam Method | |
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| Summary of Conjugate Beams | |
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| Equilibrium | |
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| Summary of Beam Relations | |
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| Application of the Conjugate Method to Beams | |
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| Long Term Deflections | |
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| Application of the Conjugate Method to Frames | |
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| Problems for Solution | |
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| Deflection and Angle Changes Using Energy Methods | |
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| Introduction to Energy Methods | |
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| Conservation of Energy Principle | |
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| Virtual Work or Complementary Virtual Work Method | |
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| Truss Deflections by Virtual Work | |
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| Application of Virtual Work to Trusses | |
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| Deflections of Beams and Frames by Virtual Work | |
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| Example Problems for Beams and Frames | |
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| Rotations or Angle Changes by Virtual Work | |
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| Introduction to Castigliano's Theorems | |
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| Castigliano's Second Theorem | |
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| Problems for Solution | |
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| Statically Indeterminate Structures: Classical Methods | |
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| Introduction to Statically Indeterminate Structures | |
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| Introduction | |
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| Continuous Structures | |
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| Advantages of Statically Indeterminate Structures | |
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| Disadvantages of Statically Indeterminate Structures | |
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| Methods of Analyzing Statically Indeterminate Structures | |
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| Looking Ahead | |
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| Force Methods of Analyzing Statically Indeterminate Structures | |
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| Beams and Frames with One Redundant | |
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| Beams and Frames with Two or More Redundants | |
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| Support Settlement | |
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| Problems for Solution | |
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| Force Methods for Analyzing Statically Indeterminate Structures Continued | |
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| Analysis of Externally Redundant Trusses | |
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| Analysis of Internally Redundant Trusses | |
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| Analysis of Trusses Redundant Internally and Externally | |
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| Temperature Changes, Shrinkage, Fabrication Errors, and So On | |
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| Castigliano's First Theorem | |
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| Analysis Using Computers | |
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| Problems for Solution | |
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| Influence Lines for Statically Indeterminate Structures | |
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| Influence Lines for Statically Indeterminate Beams | |
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| Qualitative Influence Lines | |
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| Influence Lines for Statically Indeterminate Trusses | |
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| Problems for Solution | |
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| Slope Deflection: A Displacement Method of Analysis | |
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| Introduction | |
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| Derivation of Slope-Deflection Equations | |
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| Application of Slope Deflection to Continuous Beams | |
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| Continuous Beams with Simple Ends | |
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| Miscellaneous Items Concerning Continuous Beams | |
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| Analysis of Beams with Support Settlement | |
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| Analysis of Frames-No Sidesway | |
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| Analysis of Frames with Sidesway | |
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| Analysis of Frames with Sloping Legs | |
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| Problems for Solution | |
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| Statically Indeterminate Structures: Common Methods in Current Practice | |
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| Approximate Analysis of Statically Indeterminate Structures | |
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| Introduction | |
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| Trusses with Two Diagonals in Each Panel | |
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| Continuous Beams | |
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| Analysis of Building Frames for Vertical Loads | |
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| Analysis of Portal Frames | |
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| Analysis of Building Frames for Lateral Loads | |
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| Approximate Analyses of Frame Compared to "Exact" Analysis by SABLE32 | |
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| Moment Distribution | |
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| Analysis of Vierendeel "Trusses" | |
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| Problems for Solution | |
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| Moment Distribution for Beams | |
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| Introduction | |
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| Basic Relations | |
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| Definitions | |
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| Sign Convention | |
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| Application of Moment Distribution | |
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| Modification of Stiffness for Simple Ends | |
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| Shearing Force and Bending Moment Diagrams | |
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| Computer Solution with SABLE32 | |
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| Problems for Solution | |
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| Moment Distribution for Frames | |
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| Frames with Sidesway Prevented | |
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| Frames with Sidesway | |
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| Sidesway Moments | |
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| Frames with Sloping Legs | |
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| Multistory Frames | |
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| Computer Analysis of Frame | |
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| Problems for Solution | |
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| Introduction to Matrix Methods | |
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| Structural Analysis Using the Computer | |
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| Matrix Methods | |
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| Review of Matrix Algebra | |
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| Force and Displacement Methods of Analysis | |
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| Introduction to the Force or Flexibility Method | |
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| Problems for Solution | |
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| Fundamentals of the Displacement or Stiffness Method | |
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| Introduction | |
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| General Relationships | |
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| Stiffness Equations for Axial Force Members | |
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| Stiffness Equations for Flexural Members | |
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| Stiffness Matrix for Combined Axial and Flexural Members | |
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| Characteristics of Stiffness Matrices | |
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| Relation Between Stiffness and Flexibility Matrices | |
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| Problems for Solution | |
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| Stiffness Matrices for Inclined Members | |
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| General | |
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| Axial Force Members | |
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| Flexural Members | |
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| Loading Between Nodes | |
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| Problems for Solution | |
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| Additional Matrix Procedures | |
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| General | |
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| Addition of Stiffness Equations | |
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| Stiffness Matrices for Inclined Members | |
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| Stiffness Equations for Structures with Enforced Displacements | |
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| Stiffness Equations for Structures with Members Experiencing Temperature Changes | |
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| Stiffness Equations for Structures Whose Members Have Incorrect Lengths | |
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| Applications of Matrix Partitioning | |
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| Condensation | |
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| Band Width of Stiffness Matrices for General Structures | |
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| Problems for Solution | |
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| Appendices | |
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| The Catenary Equation | |
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| Matrix Algebra | |
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| Introduction | |
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| Matrix Definitions and Properties | |
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| Special Matrix Types | |
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| Determinant of a Square Matrix | |
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| Adjoint Matrix | |
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| Matrix Arithmetic | |
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| Gauss's Method for Solving Simultaneous Equations | |
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| Special Topics | |
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| Wind, Seismic, and Snow Load Tables and Figures | |
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| Computer Analysis of Various Structures Using SAP2000 | |
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| Introduction | |
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| Analysis of Plane Trusses | |
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| Analysis of Space Trusses | |
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| Analysis of Statically Indeterminate Plane Trusses | |
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| Analysis of Composite Structures | |
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| Analysis of Continuous Beams and Frames | |
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| Glossary | |
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| Index | |