Mechanics & Materials I
The loading caused by Hurricane Katrina brought down this roadway over Bay St. Louis, Mississippi. (Photo courtesy of NIST.)
Course Highlights
This course features complete lecture notes and problem set assignments.
Course Description
This course provides an introduction to the mechanics of solids with applications to science and engineering. We emphasize the three essential features of all mechanics analyses, namely: (a) the geometry of the motion and/or deformation of the structure, and conditions of geometric fit, (b) the forces on and within structures and assemblages; and (c) the physical aspects of the structural system (including material properties) which quantify relations between the forces and motions/deformation.
Lecture Notes
This section contains documents created from scanned original files, which are inaccessible to screen reader software. The text of these files is accessible, but the figures are from scans. A '#' symbol is used to denote such documents.
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)# |
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