AN ELEMENTARY TREATISE ON STATICS
1 Introduction and Problem Formulation 1 11 Project Outline 2 12 Assessment Items and Marking Criteria 6 2 Review of Analytical Mechanics 9 21 Overview: One-Dimensional Structural Members 9 22 Partial Differential Equation-Based Approaches 9 221 Rods 9 222 Euler–Bernoulli Beams 19 223 Timoshenko Beams 32 23 Energy-Based Approaches 45 24 Extensometer Analysis 55 25 Supplementary Problems 64 3 Finite Element Method 67 31 General Idea of the Method 67 32 Rods and Trusses 68 321 Rod Elements 68 322 Truss Structures 86 33 Beams and Frames 105 331 Euler–Bernoulli Beam Elements 105 332 Timoshenko Beam Elements 123 333 Generalized Beam and Frame Elements 137 34 Extensometer Analysis 191 35 Supplementary Problems 201 4 Outlook: Two- and Three-Dimensional Elements 205