Don't show me this again. This is one of over 2,200 courses on OCW. Find materials for this course in the pages linked along the left. MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum. No enrollment or registration. Lecture notes - all lectures for semester 1 and 2. Academic year. Than Varignon's theorem is the torque applied by a belt to a pulley. Dimensional Analysis, Scaling, and Similarity 11 1. Systems of units 11 2. Scaling 12 3. Nondimensionalization 13 4. Fluid mechanics 13 5. Stokes formula for the drag on a sphere 18 6. Kolmogorov’s 1941 theory of turbulence 22 7. Self-similarity 25 8. The porous medium equation 27 9. Continuous symmetries of di erential equations. MAE2103 - Engineering Mechanics I Course Notes. MAE2103 - Engineering Mechanics I. Course Notes - Lecture 1.
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LEC # | TOPICS | |
---|---|---|
Part 1: Statics - Elements of Equilibrium | ||
1 | Course Outline, Review of Forces and Moments, Introduction to Equilibrium (PDF) | |
2 | Forces, Moments, Equilibrium (PDF) | |
3 | Applying the Equations of Equilibrium, Planar Trusses (PDF) | |
4 | Friction (PDF) | |
Part 2: Forces and Moments Transmitted by Slender Members | ||
5 | Shear Force and Bending Moment Diagrams (PDF) | |
6 | Shear Force and Bending Moment Diagrams (cont.) (PDF) | |
Part 3: Mechanics of Deformable Bodies - Introduction | ||
7 | Force-deformation Relationships and Static Indeterminacy (PDF) | |
8 | Finishing up Static Indeterminacy; Uniaxial Loading and Material Properties (PDF) | |
9 | Trusses and Their Deformations (PDF) | |
10 | Statically Determinate and Indeterminate Trusses (PDF) | |
11 | Quiz 1 | |
Part 4: Force-Stress-Equilibrium | ||
12 | Multiaxial Stress (PDF) | |
13 | Multiaxial Stress and Strain (PDF) | |
Part 5: Displacement - Strain | ||
14 | Multiaxial Strain and Multiaxial Stress-strain Relationships (PDF) | |
Part 6: Linear Elasticity - Material Behavior | ||
15 | Stress-strain-temperature Relationships and Thin-walled Pressure Vessels (PDF) | |
16 | Stress Transformations and Principal Stress (PDF) | |
17 | Stress and Strain Transformations (PDF) | |
18 | Failure of Materials and Examples (PDF) | |
19 | Quiz 2 | |
Part 7: Bending: Stress and Strains; Deflections | ||
20 | Pure Bending (PDF) | |
21 | Moment-curvature Relationship (PDF) | |
22 | Beam Deflection (PDF) | |
23 | Symmetry, Superposition, and Statically Indeterminate Beams (PDF) | |
Part 8: Torsion; Energy Methods | ||
24 | Torsion and Twisting (PDF) | |
25 | Torsion Examples (PDF) | |
26 | Energy Methods (PDF) | |
27 | Examples (PDF) |
A significant portion of this course was taught at the blackboard, so the following lecture notes are not intended to fully capture the content of the course. The lecture notes tend to be more detailed in the second half of the course. Lecture summaries are also available for the first half of the course.
Lecture Notes Bput
Applied Mechanics Lecture Notes Pdf Printable
This section also contains handouts summarizing important variables and concepts.
SES # | TOPICS | LECTURE NOTES | SUMMARIES |
---|---|---|---|
1 | Introduction and Galileo's problem | (PDF) | (PDF) |
2 | Dimensional analysis and atomic explosion | (PDF) | (PDF) |
3 | Dimensional analysis and application to engineering structures | (PDF) | (PDF) |
4 | Newton's laws of motion: the fall of the World Trade Center towers | (PDF) | (PDF) |
5 | Stress vector and stress tensor | (PDF) | (PDF) |
6 | Continuum model: hydrostatics example | (PDF) | (PDF) |
7 | Continuum model: geostatics example | (PDF) | (PDF) |
8 | Beam stress model | (PDF) | |
9 | Beam model II and summary | (PDF) | |
10 | Strength models | (PDF) | (PDF) |
11 | Mohr stress plane and strength criteria | (PDF) | (PDF) |
12 | Soil mechanics example | (PDF) | (PDF) |
13 | Beam section strength model (M/N interactions) | (PDF) | (PDF) |
14 | Strength of beam structures | (PDF) | (PDF) |
15 | Review of stresses and strength | (PDF) | |
16 | Deformation and strain tensor | (PDF) | (PDF) |
17 | Strain tensor (cont.) | (PDF) | (PDF) |
18 | Mohr circle in strain space | (PDF) | |
19 | Beam deformation | (PDF) | (PDF) |
20 | Elasticity: energy approach | ||
21 | Continuum elasticity | ||
22 | Elasticity: properties | (PDF) | |
23 | Elasticity solving methods | (PDF) Quickbooks 2008 free. | |
24 | Beam elasticity I | (PDF) | |
25 | Beam elasticity II | (PDF) | |
26 | Beam elasticity III | (PDF) | |
27 | Energy bounds: 1D system (minimum potential energy) | (PDF) | |
28 | Energy bounds: 1D system (minimum complementary energy) | (PDF) | |
29 | 1D energy methods: examples and applications | (PDF) | |
30 | Generalization to 3D | (PDF) | |
31 | Stress method for beam structures | (PDF) | |
32 | Energy methods for beam structures, example | (PDF) Clapeyron's formulas for 1D (PDF) | |
33 | How stuff fails: stability (Euler buckling) | (PDF) | |
34 | Fracture mechanics I | (PDF) Demonstration of buckling (PDF) | |
35 | Fracture mechanics II | ||
36 | Plastic collapse | ||
37 | Last lecture: review and summary | (PDF) |
Variables and Concepts
Lectures 1-15 (PDF)
Lectures 16-26 (PDF)
Lectures 27-37 (PDF)
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