Mechanics & Materials I
Lecture Notes
LEC # |
TOPICS |
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Part 1: Statics - Elements of Equilibrium |
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1 |
Course Outline, Review of Forces and Moments, Introduction to Equilibrium (PDF) |
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2 |
Forces, Moments, Equilibrium (PDF) |
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3 |
Applying the Equations of Equilibrium, Planar Trusses (PDF) |
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4 |
Friction (PDF) |
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Part 2: Forces and Moments Transmitted by Slender Members |
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5 |
Shear Force and Bending Moment Diagrams (PDF) |
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6 |
Shear Force and Bending Moment Diagrams (cont.) (PDF) |
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Part 3: Mechanics of Deformable Bodies - Introduction |
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7 |
Force-deformation Relationships and Static Indeterminacy (PDF) |
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8 |
Finishing up Static Indeterminacy; Uniaxial Loading and Material Properties (PDF) |
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9 |
Trusses and Their Deformations (PDF) |
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10 |
Statically Determinate and Indeterminate Trusses (PDF) |
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11 |
Quiz 1 |
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Part 4: Force-Stress-Equilibrium |
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12 |
Multiaxial Stress (PDF) |
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13 |
Multiaxial Stress and Strain (PDF) |
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Part 5: Displacement - Strain |
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14 |
Multiaxial Strain and Multiaxial Stress-strain Relationships (PDF) |
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Part 6: Linear Elasticity - Material Behavior |
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15 |
Stress-strain-temperature Relationships and Thin-walled Pressure Vessels (PDF) |
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16 |
Stress Transformations and Principal Stress (PDF) |
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17 |
Stress and Strain Transformations (PDF) |
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18 |
Failure of Materials and Examples (PDF) |
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19 |
Quiz 2 |
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Part 7: Bending: Stress and Strains; Deflections |
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20 |
Pure Bending (PDF) |
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21 |
Moment-curvature Relationship (PDF) |
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22 |
Beam Deflection (PDF) |
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23 |
Symmetry, Superposition, and Statically Indeterminate Beams (PDF) |
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Part 8: Torsion; Energy Methods |
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24 |
Torsion and Twisting (PDF) |
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25 |
Torsion Examples (PDF) |
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26 |
Energy Methods (PDF) |
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27 |
Examples (PDF) |
Assignments
Problem Set 1 (PDF)
Problem Set 2 (PDF)
Problem Set 3 (PDF)
Problem Set 4 (PDF)
Problem Set 5 (PDF)
Problem Set 6 (PDF)
Problem Set 7 (PDF)
Problem Set 8 (PDF)
Problem Set 9 (PDF)
Problem Set 10 (PDF)
Problem Set 11 (PDF)