FINITE ELEMENT ANALYSIS OF SHELLS - EARLY ACCESS 
Section 4
Expanding to a full plate element solver
21. Section overview - Expanding to a full plate element solver
01:28 (Preview)
22. Procedurally generating a rectangular mesh
24:30
23. Defining plate constraints
11:08
24. Defining the self-weight force vector
10:35
25. Building the structure stiffness matrix
10:05
26. Solving the system and extracting reaction forces
28:13
27. Plotting the plate displacements
18:10
28. Building an evaluation grid for stress resultants
10:31
29. Calculating the moments and shears
22:00
30. Visualising the plate bending moments
14:13
31. Extracting shear forces
29:04
32. Visualising the plate shear forces
12:21
33. Adding strip and edge masking to the shear plot
26:04
34. Adding magnitude clipping to the shear plot
10:40
35. Building an interpolation utility function
09:53
34. Adding magnitude clipping to the shear plot
Expanding to a full plate element solver
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Summary

In this lecture, we'll cover the following:

  • Adding a range (clipping) slider to control which shear values are displayed on a contour plot.
  • Implementing a boolean mask to filter values within a specified range.
  • Creating and configuring a float range slider widget, including bounds, step size, and update behaviour.
  • Adjusting widget layout and styling for improved usability and presentation.
  • Contextual discussion of shear visualisation in slab analysis and its practical relevance.

In this lecture, we extend our plotting tool by introducing a range slider that allows us to clip the displayed shear values within a specified interval. We implement this by defining a clipping range and constructing a corresponding boolean mask that filters values outside the selected bounds, replacing them with NaNs so they are not visualised. Along the way, we configure a float range slider widget, set appropriate limits and step sizes, and refine its behaviour using options such as disabling continuous updates to improve performance.

We also troubleshoot a common issue with conditional logic placement, reinforcing the importance of correctly structuring mask calculations. Finally, we make small improvements to the layout and styling of the interactive controls to enhance usability. We conclude by reflecting on the role of shear visualisation in slab analysis, noting its relative importance compared to bending, and preview a utility function to be developed in the next lecture for extracting stress resultants at arbitrary coordinates.

Next up

In the next lecture, we will build an interpolation utility function that allows us to query finite element results at any arbitrary point within the slab.

Tags

range sliderdata maskingcontour visualisationipywidgetsshear plotting

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Finite Element Analysis of Plate and Shell Structures: Part 1 - Plates

An analysis pipeline for thick and thin plate structures, a roadmap from theory to toolbox

After completing this course...

  • You will understand how Reissner-Mindlin theory enables us to accurately capture both thin and thick plate behaviour.
  • You will understand how to turn the fundamental mechanics of plate behaviour into a custom finite element solver written in Python.
  • You will have developed meshing workflows that utilise the powerful open-source meshing engine, GMSH.
  • In addition to using your own custom finite element code, you will be comfortable validating your results using OpenSeesPy and Pynite.
Next Lesson
35. Building an interpolation utility function