Lesson 42 Final Exam Review a 2 D

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Lesson 42 Final Exam Review (a 2 D “SAP 90” Element)

Lesson 42 Final Exam Review (a 2 D “SAP 90” Element)

The Final Exam – Monday, May 11 th , 8 am EDT Comprehensive exam

The Final Exam – Monday, May 11 th , 8 am EDT Comprehensive exam – Lessons 1 to 39 (Lesson 40 - Generalized 2 D elements not on the exam). Closed book, closed notes. Formulae given (exactly as on past exams – see course webpage) Google Meet will be used – set up camera as with Exams 4 and 5. You will receive the exam and Google Meet Address at 7: 45 am EDT. 3 -hour Exam. When finished, student will picture-scan and email. Exam must be received by 12 noon.

The Final Exam – Monday, May 11 th , 8 am EDT Comprehensive exam

The Final Exam – Monday, May 11 th , 8 am EDT Comprehensive exam – Lessons 1 to 39 (Lesson 40 - Generalized 2 D elements not on the exam). Closed book, closed notes. Formulae given (exactly as on past exams – see course webpage) Google Meet will be used – set up camera as with Exams 4 and 5. You will receive the exam and Google Meet Address at 7: 45 am EDT. 3 -hour Exam. When finished, student will picture-scan and email. Exam must be received by 12 noon.

The Final Exam – Monday, May 11 th , 8 am EDT Comprehensive exam

The Final Exam – Monday, May 11 th , 8 am EDT Comprehensive exam – Lessons 1 to 39 (Lesson 40 - Generalized 2 D elements not on the exam). Closed book, closed notes. Formulae given (exactly as on past exams – see course webpage) Google Meet will be used – set up camera as with Exams 4 and 5. You will receive the exam and Google Meet Address at 7: 45 am EDT. 3 -hour Exam. When finished, student will picture-scan and email. Exam must be received by 12 noon.

The Final Exam – Monday, May 11 th , 8 am EDT Comprehensive exam

The Final Exam – Monday, May 11 th , 8 am EDT Comprehensive exam – Lessons 1 to 39 (Lesson 40 - Generalized 2 D elements not on the exam). Closed book, closed notes. Formulae given (exactly as on past exams – see course webpage) Google Meet will be used – set up camera as with Exams 4 and 5. You will receive the exam and Google Meet Address at 7: 45 am EDT. 3 -hour Exam. When finished, student will picture-scan and email. Exam must be received by 12 noon.

The Final Exam – Monday, May 11 th , 8 am EDT Comprehensive exam

The Final Exam – Monday, May 11 th , 8 am EDT Comprehensive exam – Lessons 1 to 39 (Lesson 40 - Generalized 2 D elements not on the exam). Closed book, closed notes. Formulae given (exactly as on past exams – see course webpage) Google Meet will be used – set up camera as with Exams 4 and 5. You will receive the exam and Google Meet Address at 7: 45 am EDT. 3 -hour Exam. When finished, student will picture-scan and email. Exam must be received by 12 noon.

Comprehensive 1. Unknowns: Forces and Displacements 21. Slope-Deflection Ia 2. Intro to the Force

Comprehensive 1. Unknowns: Forces and Displacements 21. Slope-Deflection Ia 2. Intro to the Force Method 22. Slope-Deflection II: Beams 3. Intro to the Displacement Method 4. Qualitative Moment Diagrams and Deformed Shapes 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 23. Slope Deflection III: Frames Without Sway 24. Slope-Deflection IV: Frames With Sway 25. Slope-Deflection V 26. Moment Distribution Method 8. Hour Exam 1 27. Moment Distribution Method II 9. 1 st Moment Area Theorem 28. Moment Distribution Method III 10. 2 nd Moment Area Theorem 29. Hour Exam 4 11. The Principle of Virtual Work for Truss Deflections 30. Moment Distribution Method IV – Sidesway, 12. The Virtual Work for Beam and Frame Deflections 31. Matrices 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2 15. Force Method for 1 DOI frames 16. Force Method for Trusses 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II 34. Matrix Stiffness Method III – Post-Processing 17. Force Method for Composite Structures 35. Hour Exam 5 Solution 18. Force Method for MDOI Beams 36. Matrix Stiffness Method – Trusses I 19. Derivation of the Slope Deflection Equations 37. Matrix Stiffness Method – Trusses II 20. Hour Exam 3 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV

Comprehensive 1. Unknowns: Forces and Displacements 21. Slope-Deflection Ia 2. Intro to the Force

Comprehensive 1. Unknowns: Forces and Displacements 21. Slope-Deflection Ia 2. Intro to the Force Method 22. Slope-Deflection II: Beams 3. Intro to the Displacement Method FOUNDATIONS 4. Qualitative Moment Diagrams and Deformed Shapes 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 23. Slope Deflection III: Frames Without Sway 24. Slope-Deflection IV: Frames With Sway 25. Slope-Deflection V 26. Moment Distribution Method 8. Hour Exam 1 27. Moment Distribution Method II 9. 1 st Moment Area Theorem 28. Moment Distribution Method III 10. 2 nd Moment Area Theorem 29. Hour Exam 4 11. The Principle of Virtual Work for Truss Deflections 30. Moment Distribution Method IV – Sidesway, 12. The Virtual Work for Beam and Frame Deflections 31. Matrices 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2 15. Force Method for 1 DOI frames 16. Force Method for Trusses 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II 34. Matrix Stiffness Method III – Post-Processing 17. Force Method for Composite Structures 35. Hour Exam 5 Solution 18. Force Method for MDOI Beams 36. Matrix Stiffness Method – Trusses I 19. Derivation of the Slope Deflection Equations 37. Matrix Stiffness Method – Trusses II 20. Hour Exam 3 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV

Comprehensive 1. Unknowns: Forces and Displacements 21. Slope-Deflection Ia 2. Intro to the Force

Comprehensive 1. Unknowns: Forces and Displacements 21. Slope-Deflection Ia 2. Intro to the Force Method 22. Slope-Deflection II: Beams 3. Intro to the Displacement Method 4. Qualitative Moment Diagrams and Deformed Shapes 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method DEFLECTIONS* 23. Slope Deflection III: Frames Without Sway 24. Slope-Deflection IV: Frames With Sway 25. Slope-Deflection V 26. Moment Distribution Method 8. Hour Exam 1 27. Moment Distribution Method II 9. 1 st Moment Area Theorem 28. Moment Distribution Method III 10. 2 nd Moment Area Theorem 29. Hour Exam 4 11. The Principle of Virtual Work for Truss Deflections 30. Moment Distribution Method IV – Sidesway, 12. The Virtual Work for Beam and Frame Deflections 31. Matrices 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2 15. Force Method for 1 DOI frames 16. Force Method for Trusses 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II 34. Matrix Stiffness Method III – Post-Processing 17. Force Method for Composite Structures 35. Hour Exam 5 Solution 18. Force Method for MDOI Beams 36. Matrix Stiffness Method – Trusses I 19. Derivation of the Slope Deflection Equations 37. Matrix Stiffness Method – Trusses II 20. Hour Exam 3 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV

Comprehensive 1. Unknowns: Forces and Displacements 21. Slope-Deflection Ia 2. Intro to the Force

Comprehensive 1. Unknowns: Forces and Displacements 21. Slope-Deflection Ia 2. Intro to the Force Method 22. Slope-Deflection II: Beams 3. Intro to the Displacement Method 4. Qualitative Moment Diagrams and Deformed Shapes 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 24. Slope-Deflection IV: Frames With Sway 25. Slope-Deflection V 26. Moment Distribution Method 8. Hour Exam 1 27. Moment Distribution Method II 9. 1 st Moment Area Theorem 28. Moment Distribution Method III 10. 2 nd Moment Area Theorem 29. Hour Exam 4 11. The Principle of Virtual Work for Truss Deflections 30. Moment Distribution Method IV – Sidesway, 12. The Virtual Work for Beam and Frame Deflections 31. Matrices 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2 15. Force Method for 1 DOI frames 16. Force Method for Trusses FORCE METHOD 23. Slope Deflection III: Frames Without Sway 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II 34. Matrix Stiffness Method III – Post-Processing 17. Force Method for Composite Structures 35. Hour Exam 5 Solution 18. Force Method for MDOI Beams 36. Matrix Stiffness Method – Trusses I 19. Derivation of the Slope Deflection Equations 37. Matrix Stiffness Method – Trusses II 20. Hour Exam 3 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV

Comprehensive 1. Unknowns: Forces and Displacements 21. Slope-Deflection Ia 2. Intro to the Force

Comprehensive 1. Unknowns: Forces and Displacements 21. Slope-Deflection Ia 2. Intro to the Force Method 22. Slope-Deflection II: Beams 3. Intro to the Displacement Method 23. Slope Deflection III: Frames Without Sway 4. Qualitative Moment Diagrams and Deformed Shapes 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 24. Slope-Deflection IV: Frames With Sway SLOPE-DEFLECTION 25. Slope-Deflection V 26. Moment Distribution Method 8. Hour Exam 1 27. Moment Distribution Method II 9. 1 st Moment Area Theorem 28. Moment Distribution Method III 10. 2 nd Moment Area Theorem 29. Hour Exam 4 11. The Principle of Virtual Work for Truss Deflections 30. Moment Distribution Method IV – Sidesway, 12. The Virtual Work for Beam and Frame Deflections 31. Matrices 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2 15. Force Method for 1 DOI frames 16. Force Method for Trusses 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II 34. Matrix Stiffness Method III – Post-Processing 17. Force Method for Composite Structures 35. Hour Exam 5 Solution 18. Force Method for MDOI Beams 36. Matrix Stiffness Method – Trusses I 19. Derivation of the Slope Deflection Equations 37. Matrix Stiffness Method – Trusses II 20. Hour Exam 3 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV

Comprehensive 1. Unknowns: Forces and Displacements 21. Slope-Deflection Ia 2. Intro to the Force

Comprehensive 1. Unknowns: Forces and Displacements 21. Slope-Deflection Ia 2. Intro to the Force Method 22. Slope-Deflection II: Beams 3. Intro to the Displacement Method 23. Slope Deflection III: Frames Without Sway 4. Qualitative Moment Diagrams and Deformed Shapes 24. Slope-Deflection IV: Frames With Sway 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 25. Slope-Deflection V 26. Moment Distribution Method 8. Hour Exam 1 27. Moment Distribution Method II 9. 1 st Moment Area Theorem 28. Moment Distribution Method III 10. 2 nd Moment Area Theorem 29. Hour Exam 4 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2 15. Force Method for 1 DOI frames 16. Force Method for Trusses MOMENT DISTRIBUTION 30. Moment Distribution Method IV – Sidesway, 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II 34. Matrix Stiffness Method III – Post-Processing 17. Force Method for Composite Structures 35. Hour Exam 5 18. Force Method for MDOI Beams 36. Matrix Stiffness Method – Trusses I 19. Derivation of the Slope Deflection Equations 37. Matrix Stiffness Method – Trusses II 20. Hour Exam 3 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV

Comprehensive 1. Unknowns: Forces and Displacements 21. Slope-Deflection Ia 2. Intro to the Force

Comprehensive 1. Unknowns: Forces and Displacements 21. Slope-Deflection Ia 2. Intro to the Force Method 22. Slope-Deflection II: Beams 3. Intro to the Displacement Method 23. Slope Deflection III: Frames Without Sway 4. Qualitative Moment Diagrams and Deformed Shapes 24. Slope-Deflection IV: Frames With Sway 5. Qualitative Moment Diagrams and Deformed Shapes II 25. Slope-Deflection V 6. Bending Fundamentals and Deflections by Double Integration 26. Moment Distribution Method 7. Deflections by Conjugate Beam Method 8. Hour Exam 1 27. Moment Distribution Method II 9. 1 st Moment Area Theorem 28. Moment Distribution Method III 10. 2 nd Moment Area Theorem 29. Hour Exam 4 11. The Principle of Virtual Work for Truss Deflections 30. Moment Distribution Method IV – Sidesway, 12. The Virtual Work for Beam and Frame Deflections 31. Matrices 13. Virtual Work for Beam and Frame Deflections II 32. Matrix Stiffness Method I 14. Hour Exam 2 33. Matrix Stiffness Method II 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 34. Matrix Stiffness Method III – Post-Processing MATRIX METHODS 35. Hour Exam 5 18. Force Method for MDOI Beams 36. Matrix Stiffness Method – Trusses I 19. Derivation of the Slope Deflection Equations 37. Matrix Stiffness Method – Trusses II 20. Hour Exam 3 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV

Comprehensive 1. Unknowns: Forces and Displacements 21. Slope-Deflection Ia 2. Intro to the Force

Comprehensive 1. Unknowns: Forces and Displacements 21. Slope-Deflection Ia 2. Intro to the Force Method 22. Slope-Deflection II: Beams 3. Intro to the Displacement Method 23. Slope Deflection III: Frames Without Sway 4. Qualitative Moment Diagrams and Deformed Shapes 24. Slope-Deflection IV: Frames With Sway 5. Qualitative Moment Diagrams and Deformed Shapes II 25. Slope-Deflection V 6. Bending Fundamentals and Deflections by Double Integration 26. Moment Distribution Method 7. Deflections by Conjugate Beam Method 8. Hour Exam 1 27. Moment Distribution Method II 9. 1 st Moment Area Theorem 28. Moment Distribution Method III 10. 2 nd Moment Area Theorem 29. Hour Exam 4 11. The Principle of Virtual Work for Truss Deflections 30. Moment Distribution Method IV – Sidesway, 12. The Virtual Work for Beam and Frame Deflections 31. Matrices 13. Virtual Work for Beam and Frame Deflections II 32. Matrix Stiffness Method I 14. Hour Exam 2 33. Matrix Stiffness Method II 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 34. Matrix Stiffness Method III – Post-Processing MATRIX METHODS 35. Hour Exam 5 18. Force Method for MDOI Beams 36. Matrix Stiffness Method – Trusses I 19. Derivation of the Slope Deflection Equations 37. Matrix Stiffness Method – Trusses II 20. Hour Exam 3 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV

Comprehensive 1. Unknowns: Forces and Displacements 21. Slope-Deflection Ia 2. Intro to the Force

Comprehensive 1. Unknowns: Forces and Displacements 21. Slope-Deflection Ia 2. Intro to the Force Method 22. Slope-Deflection II: Beams 3. Intro to the Displacement Method FOUNDATIONS 23. Slope Deflection III: Frames Without Sway 4. Qualitative Moment Diagrams and Deformed Shapes 24. Slope-Deflection IV: Frames With Sway 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration SLOPE-DEFLECTION 26. Moment Distribution Method 7. Deflections by Conjugate Beam Method DEFLECTIONS* 8. Hour Exam 1 27. Moment Distribution Method II 9. 1 st Moment Area Theorem 28. Moment Distribution Method III 10. 2 nd Moment Area Theorem 29. Hour Exam 4 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections MOMENT DISTRIBUTION 13. Virtual Work for Beam and Frame Deflections II 17. Force Method for Composite Structures 31. Matrices 33. Matrix Stiffness Method II 15. Force Method for 1 DOI frames 16. Force Method for Trusses 30. Moment Distribution Method IV – Sidesway, 32. Matrix Stiffness Method I 14. Hour Exam 2 FORCE METHOD 25. Slope-Deflection V 34. Matrix Stiffness Method III – Post-Processing MATRIX METHODS 35. Hour Exam 5 18. Force Method for MDOI Beams 36. Matrix Stiffness Method – Trusses I 19. Derivation of the Slope Deflection Equations 37. Matrix Stiffness Method – Trusses II 20. Hour Exam 3 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro to the Displacement Method 4. Qualitative Moment Diagrams and Deformed Shapes 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 8. Hour Exam 1 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 19. Derivation of the Slope Deflection Equations 20. Hour Exam 3

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro to the Displacement Method 4. Qualitative Moment Diagrams and Deformed Shapes 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 8. Hour Exam 1 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 19. Derivation of the Slope Deflection Equations 20. Hour Exam 3

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro to the Displacement Method 4. Qualitative Moment Diagrams and Deformed Shapes 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 8. Hour Exam 1 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 19. Derivation of the Slope Deflection Equations 20. Hour Exam 3

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro to the Displacement Method 4. Qualitative Moment Diagrams and Deformed Shapes 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 8. Hour Exam 1 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 19. Derivation of the Slope Deflection Equations 20. Hour Exam 3

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro to the Displacement Method 4. Qualitative Moment Diagrams and Deformed Shapes 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 8. Hour Exam 1 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 19. Derivation of the Slope Deflection Equations 20. Hour Exam 3

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro to the Displacement Method 4. Qualitative Moment Diagrams and Deformed Shapes 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 8. Hour Exam 1 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 19. Derivation of the Slope Deflection Equations 20. Hour Exam 3

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro to the Displacement Method 4. Qualitative Moment Diagrams and Deformed Shapes 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 8. Hour Exam 1 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 19. Derivation of the Slope Deflection Equations 20. Hour Exam 3

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro to the Displacement Method 4. Qualitative Moment Diagrams and Deformed Shapes 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 8. Hour Exam 1 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 19. Derivation of the Slope Deflection Equations 20. Hour Exam 3

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro to the Displacement Method 4. Qualitative Moment Diagrams and Deformed Shapes 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 8. Hour Exam 1 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 19. Derivation of the Slope Deflection Equations 20. Hour Exam 3

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro to the Displacement Method 4. Qualitative Moment Diagrams and Deformed Shapes 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 8. Hour Exam 1 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 19. Derivation of the Slope Deflection Equations 20. Hour Exam 3

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro to the Displacement Method 4. Qualitative Moment Diagrams and Deformed Shapes 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 8. Hour Exam 1 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 19. Derivation of the Slope Deflection Equations 20. Hour Exam 3

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro to the Displacement Method 4. Qualitative Moment Diagrams and Deformed Shapes 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 8. Hour Exam 1 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 19. Derivation of the Slope Deflection Equations 20. Hour Exam 3

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro

Foundations 1. Unknowns: Forces and Displacements 2. Intro to the Force Method 3. Intro to the Displacement Method 4. Qualitative Moment Diagrams and Deformed Shapes 5. Qualitative Moment Diagrams and Deformed Shapes II 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 8. Hour Exam 1 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 19. Derivation of the Slope Deflection Equations 20. Hour Exam 3

Deflections*

Deflections*

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam

Deflections* 6. Bending Fundamentals and Deflections by Double Integration 7. Deflections by Conjugate Beam Method 9. 1 st Moment Area Theorem 10. 2 nd Moment Area Theorem 11. The Principle of Virtual Work for Truss Deflections 12. The Virtual Work for Beam and Frame Deflections 13. Virtual Work for Beam and Frame Deflections II 14. Hour Exam 2

Force Method 15. Force Method for 1 DOI frames 16. Force Method for Trusses

Force Method 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 20. Hour Exam 3

Force Method 15. Force Method for 1 DOI frames 16. Force Method for Trusses

Force Method 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 20. Hour Exam 3

Force Method 15. Force Method for 1 DOI frames 16. Force Method for Trusses

Force Method 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 20. Hour Exam 3

Force Method 15. Force Method for 1 DOI frames 16. Force Method for Trusses

Force Method 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 20. Hour Exam 3

Force Method 15. Force Method for 1 DOI frames 16. Force Method for Trusses

Force Method 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 20. Hour Exam 3

Force Method 15. Force Method for 1 DOI frames 16. Force Method for Trusses

Force Method 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 20. Hour Exam 3

Force Method 15. Force Method for 1 DOI frames 16. Force Method for Trusses

Force Method 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 20. Hour Exam 3

Force Method 15. Force Method for 1 DOI frames 16. Force Method for Trusses

Force Method 15. Force Method for 1 DOI frames 16. Force Method for Trusses 17. Force Method for Composite Structures 18. Force Method for MDOI Beams 20. Hour Exam 3

Slope-Deflection 19. Derivation of the Slope Deflection Equations 21. Slope-Deflection Ia 22. Slope-Deflection II:

Slope-Deflection 19. Derivation of the Slope Deflection Equations 21. Slope-Deflection Ia 22. Slope-Deflection II: Beams 23. Slope Deflection III: Frames Without Sway 24. Slope-Deflection IV: Frames With Sway 25. Slope-Deflection V 29. Hour Exam 4 – Trusses IV

Slope-Deflection 19. Derivation of the Slope Deflection Equations 21. Slope-Deflection Ia 22. Slope-Deflection II:

Slope-Deflection 19. Derivation of the Slope Deflection Equations 21. Slope-Deflection Ia 22. Slope-Deflection II: Beams 23. Slope Deflection III: Frames Without Sway 24. Slope-Deflection IV: Frames With Sway 25. Slope-Deflection V 29. Hour Exam 4 – Trusses IV

Slope-Deflection 19. Derivation of the Slope Deflection Equations 21. Slope-Deflection Ia 22. Slope-Deflection II:

Slope-Deflection 19. Derivation of the Slope Deflection Equations 21. Slope-Deflection Ia 22. Slope-Deflection II: Beams 23. Slope Deflection III: Frames Without Sway 24. Slope-Deflection IV: Frames With Sway 25. Slope-Deflection V 29. Hour Exam 4 – Trusses IV

Slope-Deflection 19. Derivation of the Slope Deflection Equations 21. Slope-Deflection Ia 22. Slope-Deflection II:

Slope-Deflection 19. Derivation of the Slope Deflection Equations 21. Slope-Deflection Ia 22. Slope-Deflection II: Beams 23. Slope Deflection III: Frames Without Sway 24. Slope-Deflection IV: Frames With Sway 25. Slope-Deflection V 29. Hour Exam 4 – Trusses IV

Slope-Deflection 19. Derivation of the Slope Deflection Equations 21. Slope-Deflection Ia 22. Slope-Deflection II:

Slope-Deflection 19. Derivation of the Slope Deflection Equations 21. Slope-Deflection Ia 22. Slope-Deflection II: Beams 23. Slope Deflection III: Frames Without Sway 24. Slope-Deflection IV: Frames With Sway 25. Slope-Deflection V 29. Hour Exam 4 – Trusses IV

Slope-Deflection 19. Derivation of the Slope Deflection Equations 21. Slope-Deflection Ia 22. Slope-Deflection II:

Slope-Deflection 19. Derivation of the Slope Deflection Equations 21. Slope-Deflection Ia 22. Slope-Deflection II: Beams 23. Slope Deflection III: Frames Without Sway 24. Slope-Deflection IV: Frames With Sway 25. Slope-Deflection V 29. Hour Exam 4 – Trusses IV

Moment Distribution 26. Moment Distribution Method 27. Moment Distribution Method II 28. Moment Distribution

Moment Distribution 26. Moment Distribution Method 27. Moment Distribution Method II 28. Moment Distribution Method III 30. Moment Distribution Method IV – Sidesway, 35. Hour Exam 5 – Trusses IV

Moment Distribution 26. Moment Distribution Method 27. Moment Distribution Method II 28. Moment Distribution

Moment Distribution 26. Moment Distribution Method 27. Moment Distribution Method II 28. Moment Distribution Method III 30. Moment Distribution Method IV – Sidesway, 35. Hour Exam 5 – Trusses IV

Moment Distribution 26. Moment Distribution Method 27. Moment Distribution Method II 28. Moment Distribution

Moment Distribution 26. Moment Distribution Method 27. Moment Distribution Method II 28. Moment Distribution Method III 30. Moment Distribution Method IV – Sidesway, 35. Hour Exam 5 – Trusses IV

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II 34. Matrix Stiffness Method III – Post-Processing 36. Matrix Stiffness Method – Trusses I 37. Matrix Stiffness Method – Trusses II 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II 34. Matrix Stiffness Method III – Post-Processing 36. Matrix Stiffness Method – Trusses I 37. Matrix Stiffness Method – Trusses II 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II 34. Matrix Stiffness Method III – Post-Processing 36. Matrix Stiffness Method – Trusses I 37. Matrix Stiffness Method – Trusses II 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II 34. Matrix Stiffness Method III – Post-Processing 36. Matrix Stiffness Method – Trusses I 37. Matrix Stiffness Method – Trusses II 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II 34. Matrix Stiffness Method III – Post-Processing 36. Matrix Stiffness Method – Trusses I 37. Matrix Stiffness Method – Trusses II 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II 34. Matrix Stiffness Method III – Post-Processing 36. Matrix Stiffness Method – Trusses I 37. Matrix Stiffness Method – Trusses II 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II 34. Matrix Stiffness Method III – Post-Processing 36. Matrix Stiffness Method – Trusses I 37. Matrix Stiffness Method – Trusses II 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II 34. Matrix Stiffness Method III – Post-Processing 36. Matrix Stiffness Method – Trusses I 37. Matrix Stiffness Method – Trusses II 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II 34. Matrix Stiffness Method III – Post-Processing 36. Matrix Stiffness Method – Trusses I 37. Matrix Stiffness Method – Trusses II 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II 34. Matrix Stiffness Method III – Post-Processing 36. Matrix Stiffness Method – Trusses I 37. Matrix Stiffness Method – Trusses II 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II 34. Matrix Stiffness Method III – Post-Processing 36. Matrix Stiffness Method – Trusses I 37. Matrix Stiffness Method – Trusses II 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV {q}=[k’]{d} {d}=[T]{D}

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II

Matrix Methods 31. Matrices 32. Matrix Stiffness Method I 33. Matrix Stiffness Method II 34. Matrix Stiffness Method III – Post-Processing 36. Matrix Stiffness Method – Trusses I 37. Matrix Stiffness Method – Trusses II 38. Matrix Stiffness Method – Trusses III – Post-Process 39. Matrix Stiffness Method – Trusses IV {q}=[k’]{d} {d}=[T]{D}

The Final Exam – Monday, May 11 th , 8 am EDT Comprehensive exam

The Final Exam – Monday, May 11 th , 8 am EDT Comprehensive exam – Lessons 1 to 39 (Lesson 40 - Generalized 2 D elements not on the exam). Closed book, closed notes. Formulae given (exactly as on past exams – see course webpage) Google Meet will be used – set up camera as with Exams 4 and 5. You will receive the exam and Google Meet Address at 7: 45 am EDT. 3 -hour Exam. When finished, student will picture-scan and email. Exam must be received by 12 noon.

The Final Exam – Monday, May 11 th , 8 am EDT Comprehensive exam

The Final Exam – Monday, May 11 th , 8 am EDT Comprehensive exam – Lessons 1 to 39 (Lesson 40 - Generalized 2 D elements not on the exam). Closed book, closed notes. Formulae given (exactly as on past exams – see course webpage) Google Meet will be used – set up camera as with Exams 4 and 5. You will receive the exam and Google Meet Address at 7: 45 am EDT. 3 -hour Exam. When finished, student will picture-scan and email. Exam must be received by 12 noon.