SES # | TOPICS | KEY DATES |
---|---|---|
1 | Introduction and Galileo’s problem | |
2 | Dimensional analysis and atomic explosion | |
3 | Dimensional analysis and application to engineering structures | |
4 | Newton’s laws of motion: the fall of the World Trade Center towers | Assignment 1 due |
5 | Stress vector and stress tensor | |
6 | Continuum model: hydrostatics example | |
7 | Continuum model: geostatics example | Assignment 2 due |
8 | Beam stress model | |
9 | Beam model II and summary | Assignment 3 due |
10 | Strength models | |
11 | Mohr stress plane and strength criteria | |
12 | Soil mechanics example | Assignment 4 due |
13 | Beam section strength model (M/N interactions) | |
14 | Strength of beam structures | Assignment 5 due |
15 | Review of stresses and strength | |
16 | Deformation and strain tensor | |
Quiz 1: dimensional analysis, stresses and strength | ||
17 | Strain tensor (cont.) | |
18 | Mohr circle in strain space | |
19 | Beam deformation | Assignment 6 due |
20 | Elasticity: energy approach | |
21 | Continuum elasticity | |
22 | Elasticity: properties | Assignment 7 due |
23 | Elasticity solving methods | |
24 | Beam elasticity I | |
25 | Beam elasticity II | Assignment 8 due |
26 | Beam elasticity III | |
27 | Energy bounds: 1D system (minimum potential energy) | Assignment 9 due |
28 | Energy bounds: 1D system (minimum complementary energy) | |
Quiz 2: elasticity and beam mechanics | ||
29 | 1D energy methods: examples and applications | |
30 | Generalization to 3D | |
31 | Stress method for beam structures | |
32 | Energy methods for beam structures, example | Assignment 10 due |
33 | How stuff fails: stability (Euler buckling) | |
34 | Fracture mechanics I | |
35 | Fracture mechanics II | Assignment 11 due |
36 | Plastic collapse | |
37 | Last lecture: review and summary |
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Fall
2007
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