About the Analytical Modelling of Shells category
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24
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11 June 2024
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1. Welcome and course overview
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33
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2. Shell structures in the built environment
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34
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3. Undeformed shell curvature
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27
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4. Section Overview - Membrane Theory of Shells
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27
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5. Membrane theory and the membrane state of stress
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33
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6. Linear displacements and meridional strain
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25
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11 June 2024
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7. Linear displacements and hoop strain
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30
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8. Angular displacement
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27
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9. Equilibrium of the infinitesimal element
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24
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10. Equilibrium in the normal direction
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11. Equilibrium in the vertical direction
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26
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12. A recap of our system of equations
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26
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13. Solving the system to find meridional, normal and angular displacements
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23
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14. Section Overview - Applying the Theory to Spherical Shells
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26
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15. Spherical shell under self-weight - force equations
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16. Spherical shell under self-weight - evaluating forces
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26
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17. Spherical shell under self-weight - displacement equations
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23
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18. Spherical shell under self-weight - evaluating displacements
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24
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19. Spherical shell under snow loading
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26
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20. Spherical shell case study - membrane stresses
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50
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21. Spherical shell case study - membrane displacements
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26
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22. Truncated spherical shell (Skylight)
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25
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11 June 2024
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23. Truncated spherical shell - membrane forces
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29
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24. Section Overview - Liquid Retaining Shells
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24
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25. Evaluating normal pressure
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24
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26. Spherical tank - filled to the top
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33
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27. Spherical tank - membrane forces
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25
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28. Partially filled spherical tank - membrane forces
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28
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29. Section Overview - Zero & Negative Gaussian Curvature Shells
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60
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11 June 2024
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