Table of Contents

• List of Figures
• List of Tables
• I. First-order structural analysis
  • 1. Introduction
    • 1.1 Fundamental relations of a frame element
    • 1.2 Basic equations for a beam/frame
      • 1.2.1 The Euler-Bernoulli beam equation
      • 1.2.2 Basic equations for a frame element
      • 1.2.3 The basic system of equations for a frame element
    • 1.3 The system equations of a frame
  • 2. Equations of the EST method
    • 2.1 Basic equations of the system
    • 2.2 Compatibility equations of displacements
      • 2.2.1 Compatibility conditions at beam joints
    • 2.3 Equations of joint equilibrium
      • 2.3.1 Equilibrium equations of beam joints
    • 2.4 Side conditions
    • 2.5 Restrictions on support displacements
    • 2.6 Initial parameter vector for an element
    • 2.7 Element displacements and forces
    • 2.8 The truss element
  • 3. Statically indeterminate problems
    • 3.1 Illustrative frame problem 1
    • 3.2 Illustrative frame problem 2
    • 3.3 Illustrative frame problem 3
    • 3.4 Illustrative continuous beam problem
    • 3.5 Illustrative truss problem
  • 4. Statically determinate problems
    • 4.1 Illustrative frame problem
    • 4.2 Illustrative beam problem
    • 4.3 Illustrative truss problem
  
  
• II. Second-order structural analysis
  • 5. Second-order structural analysis
    • 5.1 Introduction
    • 5.2 The governing equation for a beam-column
    • 5.3 Solutions of governing equations
      • 5.3.1 The set of solutions to a homogeneous differential equation
      • 5.3.2 Transfer matrix for a beam element with axial force
      • 5.3.3 The particular solution of a differential equation
      • 5.3.4 Transformation of a transfer matrix
  • 6. The EST method for a second- order theory
    • 6.1 System equations for a frame
    • 6.2 Illustrative frame problem 1
    • 6.3 Illustrative frame problem 2
  
  
• III. Plastic analysis of frames
  • 7. Plasticity and limit design
    • 7.1 Introduction
      • 7.1.1 The plastic moment
      • 7.1.2 Work done in a plastic hinge
    • 7.2 Methods of plastic analysis
  • 8. The EST method. Limit design
    • 8.1 Illustrative problems
      • 8.1.1 The n=3 times statically indeterminate frame
      • 8.1.2 The n=2 times statically indeterminate frame
      • 8.1.3 The n=1 times statically indeterminate frame
      • 8.1.4 The n=0 times statically indeterminate frame
  
  
• IV. Appendices
  • A. Matrices
    • A.1 Sparse matrices and GNU Octave
      • A.1.1 Introduction to sparse matrices
      • A.1.2 Creating sparse matrices
      • A.1.3 Sparse matrix functions in the EST method
    • A.2 Transformation matrices
  • B. Work and work-energy theorem
    • B.1 Work done by internal and external forces
  • 1C. Transfer matrices
    • 1C.1 Transfer matrices of first-order analysis
    • 1C.2 Transfer matrices of second-order analysis
  • D. Computer programs for the EST method
    • D.1 Programs for first-order analysis
    • D.2 Programs for second-order analysis
    • D.3 Programs for plastic analysis
  
  
• Bibliography
• Index