2. What you should cover before this course

Welcome and Preliminaries

• 1. Introduction and course overview3

• 2. What you should cover before this course1

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

The 3D Beam Stiffness Matrix

• 3. Section overview1

• 4. Review of the 2D stiffness matrix1

• 5. 3D beam elements3

• 5.1 3D beam elements [PDF Slides]

• 6. Minor axis bending and transverse shear1

• 7. Torsion & completing the stiffness matrix1

• 7.1 Torsion & completing the stiffness matrix [PDF Slides]

Rotations in 3D Space

• 8. Section overview1

• 9. An introduction to 3D reference frames1

• 9.1 An introduction to 3D reference frames [PDF Slides]

• 10. Direction cosines & the 3D bar transformation matrix1

• 11. Building the 3D beam transformation matrix1

Generating 3D Frame Data in Blender

• 12. Section overview1

• 13. Building and exporting a basic frame6

• 14. Exporting frame data from Blender 8

• 15. Exporting structural supports7

• 16. Exporting point load data8

• 16.1 Blender File - (lectures 13-16)

• 17. Importing our frame data6

• 18. Building the force vector4

• 19. Visualising our structure with matplotlib20

• 19.1 Jupyter Notebook - (lectures 17-19)

Building the Transformation Matrix

• 20. Section overview1

• 21. Defining a default member orientation12

• 22. How to define a local member reference frame1

• 23. Building the local member reference frame8

• 24. Calculating member reference frames and lengths 7

• 24.1 Jupyter Notebook - (lectures 21-24)

Building and Solving the Stiffness Matrix

• 25. Section overview1

• 26. Building the global element stiffness matrix19

• 27. Building the primary stiffness matrix12

• 28. Extracting the structure stiffness matrix3

• 29. Solving for displacements and reactions8

• 30. Solving for member actions8

• 30.1 Jupyter Notebook - (lectures 26-30)

Visualising Results in 3D

• 31. Section overview1

• 32. Plotting the deflected shape3

• 33. Plotting the axial force heat map9

• 34. Build the local bending moment diagram4

• 34.1 Jupyter Notebook - (lectures 32-34)

• 35. Plotting the 3D bending moment diagram9

• 35.1 Blender File

• 36. Build the local shear force diagram1

• 37. Plotting the 3D shear force diagram7

• 38. Generating detailed text output1

• 39. Exporting deflections to Blender1

• 39.1 Blender File

• 39.2 Jupyter Notebook - (lectures 35-39)

• Mid-course check-in

Implementing Bar Bracing Elements

• 40. Section overview1

• 41. Exporting bar elements from Blender3

• 41.1 Blender File

• 42. Identifying rotational releases1

• 43. Assigning areas to bar elements1

• 44. Bar element stiffness matrix1

• 45. Adding bars to the primary stiffness matrix1

• 46. The structure stiffness matrix with bars3

• 47. - Solving for axial forces in bar elements1

• 47.1 Jupyter Notebook - (lectures 40-47)

Implementing Pinned Members

• 48. Section overview1

• 49. Constructing a fixed-pinned stiffness matrix1

• 49.1 Fixed-pinned stiffness matrix [PDF Slides]

• 50. Exporting pinned elements from Blender1

• 50.1 Blender File

• 51. Identifying pinned members in our code1

• 52. Element stiffness matrix with pin at node i1

• 53. Element stiffness matrix with pin at node j1

• 54. Adding pinned elements to the primary stiffness matrix1

• 55. Solving for pinned member actions1

• 55.1 Jupyter Notebook - (lectures 51-55)

Implementing Distributed Loading

• 56. Section overview1

• 57. Identifying distributed loads in Blender1

• 57.1 Blender File

• 58. Importing distributed loading information1

• 59. Equivalent nodal actions - Part 13

• 60. Equivalent nodal actions - Part 21

• 61. Updating the global force vector1

• 62. Removing ENA from reactions1

• 63. Removing ENA from member actions9

• 63.1 Jupyter Notebook - (lectures 58-63)

Bridge Analysis Case Study

• 64. Section overview1

• 65. Reviewing the bridge structure1

• 66. Building the structural bridge model1

• 66.1 Blender File

• 67. Model data export/import1

• 68. Reviewing our results1

• 68.1 Jupyter Notebook - (lectures 67-68)

• 69. Course wrap-up & Certificate of Completion5

Course Updates

• 70. Self-weight part 1 - bar elements1

• 71. Self-weight part 2 - beam elements9

• 71.1 Jupyter Notebook - (lectures 70-71)

• 72. Member rotations part 1 - Identifying members to rotate1

• 72.1 Blender File

• 73. Member rotations part 2 - Implementing rotation overrides1

• 73.1 Jupyter Notebook - (lectures 72-73)

Appendix: Building 3D structures in Blender

• A1. Section overview

• A2. How can Blender help us?

• A3. Downloading and installing Blender

• A4. Blender overview and interface basics

• A5. Object versus Edit mode

• A6. Basic modelling - rectilinear structures

• A7. Basic modelling - organic/curved structures