The latest EngineeringSkills course, Analytical Modelling of Plate and Shell Structures: Part 2 - Shells, is now live!
Check out the course page for more info...
🔗 www.engineerin...
I’ve spent months developing this course to be an easy-to-digest and approachable introduction to membrane shell behaviour. The course includes…
✅ 9.5 hours of HD video across 38 lectures (with more on the way)
✅ 11 Downloadable Jupyter Notebooks (with more on the way)
✅ 24 Downloadable PDF lecture notes (with more on the way)
✅ My help in the Q&A forum to help you navigate through the course
My aim is that you walk away from this course with two things:
1️⃣ A complete understanding of membrane behaviour
This is the fundamental load-carrying mechanism of shell structures. Membrane behaviour is the secret sauce that allows shells to span large distances so efficiently. This course will equip you with the tools to model membrane behaviour for typical shell geometries.
2️⃣ A command of the tools and techniques to unlock math-heavy analysis with Python using Sympy.
So much of engineering analysis is locked behind dense calculus - and while we all understand at a fundamental level what differentiation and integration are, the practicalities of performing these operations on complex expressions can quickly become a roadblock!
This doesn’t need to be the case! In this course, we’ll unlock shell behaviour (usually presented in a pretty meaty mathematical fashion) with an understanding of calculus fundamentals and SymPy.
You can check out the course info page linked below, but in a nutshell, here’s the course roadmap…
📌 Building the tools to model membrane behaviour;
We start by deriving the equations we’ll need to model membrane behaviour. If you’ve tried to tackle this on your own in the past, you’ll know it’s no small undertaking to build the equations for modelling membrane stresses and displacements! So, we’ll tackle this head-on at the very start.
📌 Applying the tools to spherical shells;
At this stage, all of the key equations are still pretty abstract - to really understand what they’re telling us, we need to apply them to a specific shell geometry and the spherical shell is a great starting point
📌 A detour to liquid-filled shells;
Before moving on from spherical shells, we take a short detour to investigate the membrane stresses induced in the walls of a spherical tank. Hydrostatic pressure-induced membrane stresses are a relatively common occurrence, so this is a worthwhile exploration.
📌 Going beyond spherical shells - Conical, Cylindrical and Hyperboloid Shells
At this point, we’re ready to branch out into other geometries; we start by mapping our key equations to the specific geometry of conical and cylindrical shells. These occur so frequently that it’s worth seeing how we can modify our general modelling equations to these zero Gaussian curvature shells.
After this, we tackle the classic hyperboloid - what most people will recognise as a cooling tower. This is our first introduction to a shell with negative Gaussian curvature and is also the first time we’ll consider a compound shell - that’s a shell structure compressed of two or more discrete geometries.
📌 Infinite possibilities with compound/multi-shell structures
In the final section of the course, we continue pursuing the idea of multi-shell structures. By combining the fundamental geometries we’ve explored up to this point, we can model a huge array of shell forms.
Think of any concrete water tower you’ve ever seen - I bet it consisted of an inverted cone sitting atop a cylinder and maybe even had a spherical roof! We’ve looked at all of these geometries, so in this section, we combine them and apply our membrane analysis techniques to the resulting compound shell structure. I’m still writing and recording this section. So, it will be released in the coming weeks.
Check out the course page for more info...
🔗 www.engineerin...
30 сен 2024
