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Class Schedule |
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Text: Advanced Strength and Applied Elasticity, 4th ed., by Ugural and Fenster |
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Week |
Topics |
Text / Class Notes |
Homework |
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Week 1 |
Stresses. Equilibrium. Tractions. Boundary Conditions. Two-Dimensional Problems. Transformation Laws. Principal Stresses. |
Text, Chapter 1- Analysis of Stress. Notes, Chapter 1: |
Assignment 1 |
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Week 2 |
Displacements. Strains. Compatibility. Two-Dimensional States. Transformation Laws. Principal Strains. Stress-Strain Relations. Strain Energy. |
Text, Chapter 2 - Strain and Stress-Strain Relations.
Notes, Chapter 2: Chapter 3: |
Assignment 2 |
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Week 3 |
Two-Dimensional Problems: Plane Strain, Plane Stress. The Semi-Inverse Approach. Airy Stress Function. |
Text, Chapter
3 - Two-Dimensional Problems in Elasticity: Secs. 3.1 - 3.6. Text, Chapter 5 - Bending of Beams: Secs. 5.4, 5.5. Notes, Chapter 4: |
Assignment 3 |
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Week 4 |
Thermal Stresses. Relations in Polar Coordinates. Stress Concentrations. |
Text, Chapter 3: Secs. 3.7 - 3.12. Notes, Chapter 4: Thermal Problems |
Assignment 4 |
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Test 1 F 4/23 |
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Week 5 |
Bending of Beams: Engineering Theory. Asymmetric Bending. Shear Center. Shear Deformation. |
Text, Chapter 5: Secs. 5.1 - 5.3, 5.6, 5.7, 5.10 - 5.12. Notes, Chapter 5: |
Assignment 5 |
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Week 6 |
Curved Beams: Winkler's Theory. |
Notes, Chapter
6: Curved Beams Text, Chapter 5: Secs. 5.13 - 5.15. |
Assignment 6 |
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Week 7 |
Torsion. Thin-walled open and closed sections. Warping restraint. | Text, Chapter
6 - Torsion of Prismatic Bars: Secs. 6.1-6.9. Notes, Chapter 7: |
Assignment 7 |
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Week 8 |
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Week 9 |
Virtual Work and Energy Methods: Virtual work, virtual forces, Castigliano's theorem II. |
Text: Chapter 10 - Energy Methods: Secs. 10.1-10.7. Notes, Chapter 9:
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Assignment 8 |
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Week 10 5/31 Holiday |
Virtual displacements, potential energy, Castigliano's Theorem I, Ritz Method | Text, Chapter
10: Secs. 10.8-10.11. Beware of Sec. 10.8. Notes, Chapter 10: |
Assignment 9 |
| Final exam: Wed Jun 9, 8:30 - 10:20 | |||
| Last day of instruction: June 4 | |||
| Holidays: May 31, Memorial Day | |||
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