1.050 | Fall 2007 | Undergraduate

Engineering Mechanics I

Calendar

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