2.001 | Fall 2006 | Undergraduate

Mechanics & Materials I

Lecture Notes

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)
Learning Resource Types
Lecture Notes
Problem Sets