Types of Structures and Loads
  • Introduction

  • Classification of Structures

  • Loads

  • Structural Design

Analysis of Statically Determinate Structures
  • Idealized Structure

  • Load Path

  • Principle of Superposition

  • Equations of Equilibrium

  • Determinacy and Stability

  • Application of the Equations of Equilibrium

Analysis of Statically Determinate Trusses
  • Common Types of Trusses

  • Classification of Coplanar Trusses

  • The Method of Joints

  • Zero-Force Members

  • The Method of Sections

  • Compound Trusses

  • Complex Trusses

  • Space Trusses

Internal Loadings Developed in Structural Members
  • Internal Loadings at a Specified Point

  • Shear and Moment Functions

  • Shear and Moment Diagrams for a Beam

  • Shear and Moment Diagrams for a Frame

  • Moment Diagrams Constructed by the Method of Superposition

Cables and Arches
  • Cables 187

  • Cable Subjected to Concentrated Loads

  • Cable Subjected to a Uniform Distributed Load

  • Arches

  • Three-Hinged Arch

Influence Lines for Statically Determinate Structures
  • Influence Lines

  • Influence Lines for Beams

  • Qualitative Influence Lines

  • Influence Lines for Floor Girders

  • Influence Lines for Trusses

  • Maximum Influence at a Point due to a Series of Concentrated Loads

  • Absolute Maximum Shear and Moment

Approximate Analysis of Statically Indeterminate Structures
  • Use of Approximate Methods

  • Trusses

  • Vertical Loads on Building Frames

  • Portal Frames and Trusses

  • Lateral Loads on Building Frames: Portal Method

  • Lateral Loads on Building Frames: Cantilever Method

  • Deflection Diagrams and the Elastic Curve

  • Elastic-Beam Theory

  • The Double Integration Method

  • Moment-Area Theorems

  • Conjugate-Beam Method

  • Deflections Using Energy Methods

  • external Work and Strain energy

  • Principle of Work and energy

  • Principle of Virtual Work

  • Method of Virtual Work: Trusses

  • Castigliano’s Theorem

  • Castigliano’s Theorem for Trusses

  • Method of Virtual Work: Beams and Frames

  • Virtual Strain energy Caused by Axial Load, Shear, Torsion, and Temperature

  • Castigliano’s Theorem for Beams and Frames

Analysis of Statically Indeterminate Structures by the Force Method
  • Statically Indeterminate Structures

  • Force Method of Analysis: General  Procedure

  • Maxwell’s Theorem of Reciprocal Displacements; Betti’s Law

  • Force Method of Analysis: Beams

  • Force Method of Analysis: Frames

  • Force Method of Analysis: Trusses

  • Composite Structures

  • Additional Remarks on the Force Method of Analysis

  • Symmetric Structures

  • Influence Lines for Statically Indeterminate Beams

  • Qualitative Influence Lines for Frames

Displacement Method of Analysis: Slope-Deflection Equations
  • Displacement Method of Analysis: General Procedures

  • Slope-Deflection equations

  • Analysis of Beams

  • Analysis of Frames: No Sidesway

  • Analysis of Frames: Sidesway

Displacement Method of Analysis: Moment Distribution
  • General Principles and Definitions

  • Moment Distribution for Beams

  • Stiffness-Factor Modifications

  • Moment Distribution for Frames: No  Sidesway

  • Moment Distribution for Frames: Sidesway

Beams and Frames Having Nonprismatic Members
  • Loading Properties of Nonprismatic Members

  • Moment Distribution for Structures Having Nonprismatic Members

  • Slope-Deflection equations for  Nonprismatic Members

Truss Analysis Using the Stiffness Method
  • Fundamentals of the Stiffness Method

  • Member Stiffness Matrix

  • Displacement and Force Transformation Matrices

  • Member Global Stiffness Matrix

  • Truss Stiffness Matrix

  • Application of the Stiffness Method for Truss Analysis

  • Nodal Coordinates

  • Trusses Having Thermal Changes and Fabrication errors

  • Space-Truss Analysis

Beam Analysis Using the Stiffness Method
  • Preliminary Remarks

  • Beam-Member Stiffness Matrix

  • Beam-Structure Stiffness Matrix

  • Application of the Stiffness Method for Beam Analysis

Plane Frame Analysis Using the Stiffness Method
  • Frame-Member Stiffness Matrix

  • Displacement and Force Transformation Matrices

  • Frame-Member Global Stiffness Matrix

  • Application of the Stiffness Method for Frame Analysis

Structural Modeling and Computer Analysis
  • General Structural Modeling

  • Modeling a Structure and its Members

  • General Application of a Structural Analysis Computer Program

  • Matrix Algebra for Structural Analysis