Date 
Topic 
TBD 
Introduction to Finite Elements  History
and applications 

Chapter 2  Definition of the stiffness
matrix; applications for a simple spring element;
and potential energy
approach to derive spring element equations. 

Holiday  Labor Day 

Chapter 3  Development of the stiffness matrix for a bar element
and transformation of
global stiffness matrix for a bar arbitrarily oriented in a plane 

Chapter 3  Transformation
matrix for a bar in threedimensions; inclined or skewed supports;
and onedimensional elastic rod using potential energy 

Chapter 3  Onedimensional elastic rod using Galerkin's method; symmetry and
bandwidth of bar
stiffness matrix 

SAP2000  Truss
analysis 

Chapter 4 Beam stiffness and example of
assemblage of beam stiffness equations and
examples using direct stiffness 

Chapter 4  Distributed loadings; comparison of FE solution to exact solution;
beam element with nodal hinge;
potential energy approach to deriving beam
equations; and Galerkin's method for deriving beam equations 

Chapter 5  Twodimensional arbitrarily oriented beam element for
frames and
rigid frame examples 

Chapter 5  Twodimensional arbitrarily
oriented beam element for frames;
rigid frame examples; and incline supports; and grid elements 

SAP2000 Introduction  Frame and grid
analysis 

Chapter 6 
Development of the Plane Stress Element
(CST) 

Chapter 6 
Development of the Plane Stress Element
(CST)  Problems 

Fall Break 

Chapter 6 
Development of the Plane Stress Element (Q4
element)
Chapter 7  Practical Consideration on Modeling
MidTerm Exam Assigned 

Chapter 8  Development of LinearStrain Triangular Equations 

Chapter 9  Axisymmetric Elements


Chapter 9  Axisymmetric Elements
Chapter 10 
Isoparametric Formulation of the Bar and Q4 Elements 

Chapter 10 
NewtonCotes and Gaussian Quadrature 

Chapter 10  Isoparametric Formulations for a
Linear Strain Bar; Q6, Q8, Q9, and Q12 Elements 

Chapter 12  Plate Bending Elements 

Chapter 12  Using SAP2000 to analyze plate/shell problem 

Chapter 16  Dynamics analysis of SDOF systems 

Chapter 16  Dynamics analysis using bar, beam, frames, trusses, and
CST elements 

SAP2000 to analyze structural dynamic problems
Chapter 11  ThreeDimensional Stress Analysis using tetrahedral and
hexahedral elements 

Chapter 11  ThreeDimensional Stress Analysis using tetrahedral and
hexahedral elements 

Final Exam Dues 