Note: All notes in pdf format - see www.adobe.com for pdf reader. Links will be activated as material is considered in class.

What is CIVL 7117?

Course Notes

Chapter 1 - Introduction to Finite Elements and Structural Mechanics (video)

Chapter 2 - Introduction to the Stiffness (Displacement) Method (video)

Chapter 3a - Development of Truss Equations: 3.1 - 3.7 (video)

Chapter 3b - Development of Truss Equations: 3.7 - 3.15 (video)

Chapter 4a - Development of Beam Element: 4.1 - 4.4 (video)

Chapter 4b - Development of Beam Element: 4.5 - 4.8 (video)

Chapter 5a - Development of the Plane Frame and Grid Elements: 5.1 - 5.3 (video)

Chapter 5b - Development of the Plane Frame and Grid Elements: 5.4 - 5.6 (video)

Chapter 6a - Development of Plane Stress and Plane Strain Stiffness Equations (CST element) (video)

Chapter 6b - Development of Plane Stress and Plane Strain Stiffness Equations (Q4 element) (video)

Chapter 7 - Practical Considerations in Modeling; Interpreting Results; and Examples of Plane Stress/Strain Analysis

Chapter 8 - Development of the Linear-Strain Triangle Equations (video)

Chapter 9 - Axisymmetric Elements (video)

Chapter 10 - Isoparametric Elements (video)

Chapter 12 - Plate Bending Element (video)

Chapter 16 - Structural Dynamics (video)

Chapter 11 - Three-Dimensional Stress Analysis (video)

 

Important Papers

Variational Methods for the Solution of Problems of Equilibrium and Vibrations (1941) by R. Courant
Stiffness and Defection Analysis of Complex Structures (1956) by Turner, Clough, Martin, and Topp
Energy Theorems and Structural Analysis (1968) by John H. Argyris and S. Kelsey
Historical Comments on Finite Elements (1987) by J. Tinsely Oden
Early Finite Element Research at Berkeley (1999) by Ray W. Clough and Edward L. Wilson
The Finite Element Methods, Part 1: R. L. Courant (2007) by G. Pelosi
My Fifty Years with Finite Elements (2008) by Robert L. Taylor

Fundamental Concepts (2012)
Meet the Finite Element Method (2012)

Effective Quadrature Rules for Quadratic Solid Isoparametric Finite Elements (192) by T. K. Hellen
Quadrature Rules for Brick Based Finite Elements (1971) by Bruce M. Irons

John Argyis Obituary (2004)

Software

Brower's Matlab FEM codes - A collection of 1D (static and dynamic bar elements), 2D (plane strain/stress), or
                             3D static linear elasticity code with fully integrated elements developed by Allan F. Bower for
                             Applied Mechanics of Solids (2012).

Camp's Matlab FEM codes - Simple 2D plane stress/plane strain problem for CST, LST, Q4, and Q8 elements

SAP2000 V20.2 Tutorial for determinate truss analysis

This web site was originally developed by Charles Camp for CIVL 7117.
This site is Maintained by the Department of Civil Engineering at the University of Memphis.
Your comments and questions are welcomed.