| 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 three-dimensions; inclined or skewed supports;
and one-dimensional elastic rod using potential energy |
| |
Chapter 3 - One-dimensional 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 - Two-dimensional arbitrarily oriented beam element for
frames and
rigid frame examples |
| |
Chapter 5 - Two-dimensional 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
Mid-Term Exam Assigned |
| |
Chapter 8 - Development of Linear-Strain Triangular Equations |
| |
Chapter 9 - Axisymmetric Elements
|
| |
Chapter 9 - Axisymmetric Elements
Chapter 10 -
Isoparametric Formulation of the Bar and Q4 Elements |
| |
Chapter 10 -
Newton-Cotes 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 - Three-Dimensional Stress Analysis using tetrahedral and
hexahedral elements |
| |
Chapter 11 - Three-Dimensional Stress Analysis using tetrahedral and
hexahedral elements |
| |
Final Exam Dues |
