Analytical Modelling of Plate and Shell Structures: Part 1 - Plates
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Course Introduction
1. Welcome, course overview and getti...
Support and Lecture Q&A (Please read!)
An Introduction to Plate and Shell Structures
2. Section overview
3. Geometric considerations and assum...
4. Shell structures in the built envi...
5. Fundamental load resistance mechan...
6. Deformation curvature for 2D plates
7. Curvature and axis rotation
8. Undeformed shell curvature
Analysis of Circular Plates
9. Section overview
10. The setup - Coordinates, limitati...
11. Establishing the radial and hoop ...
12. Jumping to stresses via Hooke’s Law
13. Determining the stress resultants
14. Equilibrium of the infinitesimal ...
15. From equilibrium to the governing...
15.1 Jupyter Notebooks (lecture 15)
16. Evaluating the shear force term
17. The influence of plate boundary c...
18. Case study #1- Simply supported w...
19. Case study #2- Simply supported w...
19.1 Jupyter Notebooks (lecture 19)
20. Case study #2- Further investigat...
20.1 Jupyter Notebooks (lecture 20)
21. Case study #3- Built-in with cent...
22. Case study #4 Built-in annular pl...
22.1 Jupyter Notebooks (lecture 22)
23. Case study #5- Simply supported w...
24. Case study #5- Code solution and ...
24.1 Jupyter Notebooks (lecture 24)
25. Building a 3D visualisation of pl...
25.1 Jupyter Notebooks (lecture 25)
Analysis of Rectangular Plates
26. Section overview
27. Setting up our derivation
28. Stress and strain analysis
29. Equilibrium and the governing dif...
30. Stress distributions
31. Fixed and simply supported bounda...
32. Free edges
33. The corner effect
34. Navier’s solution for rectangular...
35. Determining plate moments
36. Case study #6- Navier’s solution ...
37. Case study #7- Navier’s solution ...
37.1 Jupyter Notebooks (lecture 37)
38. Case study #8- Navier’s solution ...
38.1 Jupyter Notebooks (lecture 38)
39. Case study #9 Navier’s solution f...
40. Building a ‘Plate Calculator’ Pyt...
40.1 Jupyter Notebook (lecture 40)
41. Course wrap up and certificate of...
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Course
Section
Lesson
15. From equilibrium to the governing differential equation
15. From equilibrium to the governing differential equation
Analytical Modelling of Plate and Shell Structures: Part 1 - Plates
Buy now
Learn more
Course Introduction
1. Welcome, course overview and getti...
Support and Lecture Q&A (Please read!)
An Introduction to Plate and Shell Structures
2. Section overview
3. Geometric considerations and assum...
4. Shell structures in the built envi...
5. Fundamental load resistance mechan...
6. Deformation curvature for 2D plates
7. Curvature and axis rotation
8. Undeformed shell curvature
Analysis of Circular Plates
9. Section overview
10. The setup - Coordinates, limitati...
11. Establishing the radial and hoop ...
12. Jumping to stresses via Hooke’s Law
13. Determining the stress resultants
14. Equilibrium of the infinitesimal ...
15. From equilibrium to the governing...
15.1 Jupyter Notebooks (lecture 15)
16. Evaluating the shear force term
17. The influence of plate boundary c...
18. Case study #1- Simply supported w...
19. Case study #2- Simply supported w...
19.1 Jupyter Notebooks (lecture 19)
20. Case study #2- Further investigat...
20.1 Jupyter Notebooks (lecture 20)
21. Case study #3- Built-in with cent...
22. Case study #4 Built-in annular pl...
22.1 Jupyter Notebooks (lecture 22)
23. Case study #5- Simply supported w...
24. Case study #5- Code solution and ...
24.1 Jupyter Notebooks (lecture 24)
25. Building a 3D visualisation of pl...
25.1 Jupyter Notebooks (lecture 25)
Analysis of Rectangular Plates
26. Section overview
27. Setting up our derivation
28. Stress and strain analysis
29. Equilibrium and the governing dif...
30. Stress distributions
31. Fixed and simply supported bounda...
32. Free edges
33. The corner effect
34. Navier’s solution for rectangular...
35. Determining plate moments
36. Case study #6- Navier’s solution ...
37. Case study #7- Navier’s solution ...
37.1 Jupyter Notebooks (lecture 37)
38. Case study #8- Navier’s solution ...
38.1 Jupyter Notebooks (lecture 38)
39. Case study #9 Navier’s solution f...
40. Building a ‘Plate Calculator’ Pyt...
40.1 Jupyter Notebook (lecture 40)
41. Course wrap up and certificate of...
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