Chapter 2 Matrix Algebra, 2.6/2.7 Linear Equations, 2.8 Quadratic Forms and Positive Definiteness, 2.9 Partitioning, 2.10 Differentiation and Integration
Chapter 3 Direct Approach: Axial Springs
3.1 Axial Springs
3.2 The Element Equation
3.3 Assembly of Element Equations to Obtain the Structural Equation
Chapter 5 Direct Approach: Truss Analysis
5.1 Truss Structures
5.2 Vector Transformation in Two Dimensions
5.3 The Element Stiffness Matrix in Global Coordinates
5.4 Assembly
5.5 Element Stress
Chapter 6 Approximating Functions: One-Dimensional Element
6.1 Linear One-Dimensional Element
6.2 Selecting Approximation Functions for Displacements
6.3 Quadratic One-Dimensional Element
6.4 Cubic and Quartic One-Dimensional Elements
Chapter 9 Principle of Minimum Total Potential Energy
9.1 Concept of Potential Energy
9.2 Potential Energy of a Bar Member
9.3 Element Stiffness Matrix of a Bar
