2. Our approach to Python in this course

Introduction

• 1. Introduction and course overview3

• 2. Our approach to Python in this course2

• 3. Getting started with Jupyter Notebooks and Python3

• Support and Lecture Q&A (Please read!)

Modelling Elastic Behaviour

• 4. Section overview1

• 5. Stress and strain in 2D3

• 6. Strain and displacement in 2D8

• 7. 3-dimensions and matrix notation3

• 8. Plane Stress condition3

• 9. Plane Strain condition1

• 10. Material matrix summary3

Finite Element Equations & Stiffness Matrices

• 11. Section overview1

• 12. Finite Element equations and the Direct Stiffness Method11

• 13. The Principle of Minimum Potential Energy3

• 14. The Finite Element equations6

• 15. Stiffness matrix for bar element3

• 16. Finite Element equation review7

• 17. Transformation from local to global coordinates1

Direct Stiffness Method: Step-by-Step

• 18. Section overview5

• Section 4 - Direct Stiffness Method Step by Step - Slides6

• 19. Analysis procedure overview1

• 20. Calculating element stiffness matrices5

• 21. Building the primary stiffness matrix1

• 22. Reducing to the structure stiffness matrix6

• 23. Solving for unknown displacements4

• 24. Solving for unknown reactions3

• 25. Finding element forces1

Direct Stiffness Method in Python

• 26. Section overview1

• Jupyter notebooks.zip12

• 27. Element stiffness matrices11

• 28. Whole structure stiffness matrix1

• 29. Reactions, element forces and nodal displacements1

• 30. Visualising our output1

• 31. Refactor - Tidying up with functions1

• Mid-course check-in

Direct Stiffness Method on Larger Structures

• 32. Section overview1

• Question Jupyter notebook

• Section 6 - Direct Stiffness Method on Larger Structures - Slides

• 33. Calculating element stiffness matrices1

• 34. Building the primary stiffness matrix1

• 35. Reducing to structure stiffness matrix3

• 36. Solving for unknown displacements1

• 37. Solving for unknown reactions1

• 38. Finding element forces1

Optimising for Larger Structures in Python

• 39. Section overview1

• Jupyter notebook

• 40. Building the primary stiffness matrix1

• 41. Extracting the structure stiffness matrix1

• 42. Displacements and reactions1

• 43. Calculating member forces1

• 44. Visualising our output3

Building a Generalised Truss Solver in Python

• 45. Section overview1

• Jupyter notebook

• 46. Establishing input data1

• 47. Calculating member orientation and length5

• 48. Primary and Structure Stiffness matrices1

• 49. Displacements, reactions and member forces1

• 50. Automating the output visualisation1

• 51. Automating the text summary3

Taking your Solver for a Test Drive

• 52. Section overview1

• Jupyter notebooks

• 53. Test Question #13

• 54. Test Question #21

• 55. Test Question #31

• 56. Course wrap up and Certificate of Completion17