Topic	Lecture material (pdf)
1) Direct stiffness approach	prepared	Class notes Example
2) Principle of Potential Energy	prepared	Class notes Example
3) Assumed displacement field, development of 1-D Rod (truss) element stiffness matrix	prepared	In-class
4) Transformation of truss element stiffness matrix in arbitrary orientation	prepared
5) General formulation of a truss (or Rod) element	prepared	In-class Example
6) Derivation of Beam element	prepared	In-class
7) Frame element	prepared	In-class
8) Introduction to planar (2-D) problems, derivation of 3-node triangular (CST) element ( includes modeling errors and other issues with CST element, concept of mesh refinement and solution convergence )	prepared	In-class Pressure load application
9) 2-D isoparametric quadrilateral element formulation, potential issues, advantages over CST element	prepared	In-class
10) Higher-order elements	prepared	In-class
11) Axisymmetric elements (special case of 3-D modeling)	prepared	In-class
11) 3-D(solid) elements	prepared	In-class
13) Introduction to vibration modeling, extracting modes and natural frequency (Modal analysis)	prepared	In-class
14) Introduction to thermal modeling (conduction and convection analysis, and thermal stress)	prepared	In-class

Sample Mathcad file (must save as .xmcd)