| 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 | |