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
Grading criteria.
| ACTIVITIES |
PERCENTAGES |
| Homework |
40% |
| Mid-term self-quiz |
Not graded |
| Final quiz |
40% |
| Class participation |
20% |
Calendar
Course 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 |
