Extension of the matrix methods of structural analysis to the solution of elasticity, plate, and shell problems by use of finite element approximations. Discussion of convergence and bounding and extension to investigation of stability and finite deformations. Prerequisite: CEE 501 or permission of instructor. Offered: W.
This course will cover the following topics * The basics of the Finite Element Method (FEM) from both a variational and an energetical point of view * Similarities and differences between FEM and the Stiffness Method * Thermal problems (2D partial differential equation) * Plane stress problems using triangular and isoparametric quadrilateral elements * Convergence criteria, patch test, and error estimates * Kichhoff-Love and Reissner-Mindlin plate theories * Shells and layered structures (if time permits)
Student learning goals
You will be able to perform linear elastic finite element analyses for beam/frame/plate structures.
You will be able to assess the accuracy of your model through convergence studies.
You will be able to formulate your own displacement based finite elements for basic structures.
You will be able to use advanced commercial finite element software (MSC.marc)
General method of instruction
Lectures (three days per week) with weekly homework assignments, one midterm exam and one final exam project (over multiple weeks).
Completion of a continuum mechanics course (e.g. CEE 501).
Class assignments and grading