Course Meeting Times
Lectures: 3 sessions / week, 1 hour / session
Textbooks
There is no required text for this course. However, the following three books are recommended:
Reference Text
Ugural, A. C. Stresses in Plates and Shells. 2nd ed. New York, NY: McGraw-Hill, 1998. ISBN: 0070657696.
Supplementary Texts
Shames, Irving H., and Clive L. Dym. Energy and Finite Element Methods in Structural Mechanics: SI Units. Raton, FL: CRC, 1996. ISBN: 0891169423.
Timoshenko, Stephen P., and S. Woinowsky-Krieger. Theory of Plates and Shells. 2nd ed. New York, NY: McGraw-Hill Companies, 1959. ISBN: 0070647798.
Grading Policy
| ACTIVITIES | PERCENTAGES |
|---|---|
| Homework | 40% |
| Mid-term self-quiz | Not graded |
| Final quiz | 40% |
| Class participation | 20% |
Calendar
| Lec # | TOPICS | KEY DATES |
|---|---|---|
| 1 | Preliminary, index notation, strain-displacement relation for continuum and plates | |
| 2 | Derivation of plate equilibrium equation and boundary conditions through variational principle | |
| 3 | Selected bending solutions for plate problems | |
| 4 | Theory of moderately large deflection of elastic plates | |
| 5 | Example problem with axi-symmetric plate/membrane | |
| 6 | Buckling of plates, general formulation | Homework 1 due |
| 7 | Buckling of rectangular plates | |
| 8 | Raleigh-Ritz quotient for plate buckling | |
| 9 | Buckling of cold-formed section and stiffened plates | Homework 2 due |
| 10 | Self-evaluation by a mini-quiz in the first half an hour | Self-quiz due |
| 11 | Discussion of the mini-quiz | |
| 12 | Ultimate strength of plates and elastic/plastic buckling | Homework 3 due |
| 13 | Elastic buckling of cylindrical shells (1) | |
| 14 | Elastic buckling of cylindrical shells (2) | |
| 15 | Fundamentals of structural plasticity | Homework 4 due |
| 16 | Limit analysis of simple plastic structures | |
| 17 | Energy absorption and crashworthiness of prismatic tubes | |
| 18 | Local denting analysis of tubes and propagating buckles in pipelines | Homework 5 due 1 day before Lec #18 |
| 19 | Cutting and denting of plates with application to collision and grounding of ships | |
| 20 | Final quiz | Final quiz in-class portion due Final quiz take-home portion due 3 days after Lec #20 |