This page includes a calendar of lecture topics.
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. Burr Ridge, IL: McGraw-Hill, 1998. ISBN: 0070657696.
Supplementary Texts
Shames, Irving H., and Clive L. Dym. Energy and Finite Element Methods in Structural Mechanics: SI Units. New York, NY: Hemisphere Publishing Corporation, 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
Course grading.
| 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 |