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