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About the Analytical Modelling of Plates category
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1. Welcome, course overview and getting support
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73
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2. Section overview - An Introduction to Plate and Shell Structures
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57
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3. Geometric considerations and assumptions
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51
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4. Shell structures in the built environment
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53
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5. Fundamental load resistance mechanisms
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82
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15 December 2023
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6. Deformation curvature for 2D plates
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55
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7. Curvature and axis rotation
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47
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8. Undeformed shell curvature
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47
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9. Section overview - Analysis of Circular Plates
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42
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10. The setup: Coordinates, limitations, assumptions and the plan
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47
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11. Establishing the radial and hoop strain
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57
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12. Jumping to stresses via Hooke’s law
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43
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13. Determining the stress resultants
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40
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14. Equilibrium of the infinitesimal element
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37
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15. From equilibrium to the governing differential equation
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16. Evaluating the shear force term
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17. The influence of plate boundary conditions
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42
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18. Case study #1: Simply supported with edge moment
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42
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19. Case study #2: Simply supported with UDL
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47
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20. Case study #2: Further investigation & visualisation
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50
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21. Case study #3: Built-in with central point load
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58
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22. Case study #4: Built-in annular plate with UDL
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23. Case study #5: Simply supported with linearly varying load
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47
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24. Case study #5: Code solution and plotting
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52
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25. Building a 3D visualisation of plate deflection
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41
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26. Section overview - Analysis of Rectangular Plates
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39
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27. Setting up our derivation
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41
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28. Stress and strain analysis
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51
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29. Equilibrium and the governing differential equation
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52
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28 August 2023
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