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CES 5116 : Finite Elements in Civil Engineering
  

 Overview

  

Overview
The goals of this course are 1) to provide the student with an understanding of the mathematical basis of the finite element method and 2) to provide the student with an understanding of the steps involved in creating and validating finite element analysis models and appropriately using finite element software.

  

 General Information

    

Course
Syllabus
  Instructor

 

 Notes

    

01 Linear algebra review
02 Gauss quadrature (1D, 2D) numeric integration
03 Truss (bar) element stiffness and load matrices
04 Global matrix assembly and truss element force recovery
05 Mesh convergence : tapered axial bar
06 1D shape functions using Lagrange polynomials 
07 3-node quadratic truss element : symbolic integration
08 3-node quadratic truss element : gauss quadrature integration 
09 Rotation (coordinate) transformation for 2D truss elements 
10 Galerkin and variational approaches to forming finite element matrices 
11 Torsional constant (J) calculation : variational method & triangular elements
12 2D shape functions for quadrilateral elements
13 Plane stress and plane strain : strain-displacement and constitutive relationships
14 Stiffness matrix for plane stress (and strain) elements
15 Plane stress analysis (w/ rectangular elements) of an axial bar
16 Plane stress analysis (w/ rectangular elements) of a cantilever beam
17 Shear locking; 9-node elements; under-integration; addition of incompatible modes
18 Finite element analysis of a cantilever; post-processing; principal stresses; effective stress; ADINA files: 4x4 mesh, 16x16 mesh
19 Finite element analysis of a bearing/shear wall; ADINA input file; Model line definition
20 Finite element analysis of a deep beam
21 Calculation of section forces (V, N, M) from FEA results
22 Isoparametric element formulation
23 Finite element meshing : transitioning mesh density
24 Isoparametric element distortion
25 Plate bending elements: theory; modeling; formulation; integration; results interpretation
26 Finite element modeling and analysis of slabs
27 Shell elements
28 Finite element modeling and analysis of a steel hanger using shell elements
29 Axisymmetric elements
30 Solid elements
31 Governing differential equation for beam flexure 
32 Cubic-Hermitian shape functions for beam elements 
33 Finite element formulation of beam element stiffness and load
34 Force recovery for beam elements; element accuracy; ADINA modeling
35 Finite element modeling and analysis of composite action using shell and beam elements

  

 Assignments

    

 Distributed by email.

  

 Supporting Documents

    

MathCad files
 
ADINA files
 

 

Updated: 15 Nov 2011 G. Consolazio (grc@ce.ufl.edu)