CEE 458 -- Advanced Structures II

Offering: Spring 2004
Instructor: Greg Miller
gmiller@u.washington.edu
Office Hours: MWF 12:30-1:30
Catalog Data: Introduction to stability, including a consideration of elastic and inelastic buckling with applications to beam-columns and plates. Introduction to plastic analysis. Prerequisite: CEE 379.
Textbook(s): None
Grading: 30% Homework, 30% Midterm, 40% Final

Learning Objectives

  • Students will demonstrate an ability to formulate and solve basic problems involving the stability and yielding of individual members and simple bar-spring systems.
  • Students will be able to read and understand materials (e.g., books, papers, and design codes) concerning geometric and material nonlinearities in the context of structural analysis.
  • Students will develop simple computer code to solve structural analysis problems (beams and frames) involving geometric and material nonlinearities.
  • Students will be able to use advanced analysis software to model nonlinear behavior in structural frame systems suitable for design use.

Course Topics

  1. Introduction to geometrically nonlinear behavior and analysis: rigid bar and spring systems. General and linearized stability and amplification.
  2. Introduction to nonlinear material behavior and analysis: axially loaded members, rigid bar and nonlinear spring systems.
  3. Geometric effects in beams. Classical solutions and general stiffness approach for beam systems. Lateral-torsional buckling.
  4. Material nonlinearities in beams: cross-section analysis, plastic hinge analysis, general stiffness approach.
  5. Interaction of stability and inelasticity, "real" buckling loads.
  6. Geometric effects in frame systems: general stiffness approach.
  7. Plastic analysis of frame systems: general stiffness approach.
  8. Fully nonlinear frame behavior, analysis and comparison with published test results.
  9. (Plate buckling, if time allows)

Assignments

  1. Assignment 1 (pdf). Due April 7, 2004. (Solution)
  2. Assignment 2 (pdf). Due April 14, 2004. (Solution)
  3. Assignment 3 (pdf). Due April 23, 2004. (Solution)
  4. Assignment 4 (pdf). Due April 28, 2004. (Solution)
  5. Assignment 5 (pdf). Due May 5, 2004.
  6. Assignment 6 (pdf). Due May 12, 2004. (Solution)
  7. Assignment 7 (pdf). Due May 19, 2004. (Solution)
  8. Assignment 8 (pdf). Due June 2, 2004.

Handouts

  • SDOF Rod and Spring System Notes (pdf) (Fixed 4/2/04)
  • MDOF Rod and Spring System Notes (pdf) (4/7/04)
  • 1-D Elasticity Notes (pdf) (4/16/04)
  • Differential Equation Trusss Element Notes (pdf) (4/16/04)
  • Beam Element Notes (see Section 6) (pdf) (4/16/04)
  • Beam Element Derivation transcript (4/23/04)
  • Beam Element Derivation + Axial Effects transcript (4/23/04)
  • Spring 2001 Midterm Exam (pdf) (4/26/04)
  • Section database with old sections (txt) (5/5/04)
  • Extended Frame Element Notes (pdf) (5/7/04)
  • Basic Fiber Model Hinge Notes (pdf) (5/21/04)
  • Fiber model MATLAB code (zip) (5/21/04)
  • Fiber model load-controlled MATLAB script (.m file) (5/26/04)
  • Fiber model force/moment function (.m file) (5/26/04)
  • Fiber model PM-Interaction script (.m file) (5/26/04)
  • Fiber model PM-Interaction figure (pdf) (5/28/04)
  • Lateral-torsional buckling links: Steel design, Wood design.
  • Spring 2001 Final Exam (pdf) (6/04/04)