Week 1
Thursday, September 2: Introductory comments. The relation between
the usual beam bending analysis and the same problem in linear elasticity.
(See the worksheet [pdf] for a précis
of the analysis.)
Week 2
Labor Day Break: Monday, September 6
Tuesday, September 7: Derivation of the beam equations from linear
elasticity (See the worksheet [pdf] for a précis
of the analysis.)
Thursday, September 9: Derivation of the plate equations.
Week 3
Tuesday, September 14. Summary of the
plate equations and edge boundary conditions. One dimensional
plate deformation. Timoshenko's analysis.
Thursday, September 16. Very thin plates vs moderately thin plates
-- when you use the biharmonic equation. Edge moment loading. Edge
moments from the biharmonic equation.
Week 4: Plate deformations: Gould chapter 10 and Timoshenko selections
from chapters 4-6.
Tuesday, September 21: Eigenfunctions. (Take a look at Appendix
V from Chandrasekhar for an example of one-d eigenfunctions.
The cylindrical ones will be useful next week. You may also want
to look at Gibbs' phenomenon.) Simply-supported
rectangular plates. (See calculational
paradigm, a set of different loading
conditions, and an assessment of truncation
error for a point load.)
Thursday, September 23: Lévy-Nadai techniques,
uniformly loaded plates, a specific engineering
example
Week 5
Tuesday, September 28: Cylindrical plates under axisymmetric loading
Thursday, September 30
Week 6
Fall Break: Monday, October 4
Tuesday, October 5
Thursday, October 7
Week 7
Tuesday, October 12
Thursday, October 14
Week 8
Tuesday, October 19
Thursday, October 21
Week 9
Tuesday, October 26
Thursday, October 28
Week 10
Tuesday, November 2
Thursday, November 4
Week 11
Tuesday, November 9
Thursday, November 11
Week 12
Tuesday, November 16
Thursday, November 18
Week 13
Tuesday, November 23
Thanksgiving Break, classes end at noon: Wednesday, November 24
Week 14
Tuesday, November 30
Thursday, December 2
Week 15
Tuesday, December 7
Thursday, December 9
Last Day of Classes: Friday, December 10
Week 16
Final Exam: To Be Announced