Turns out it was quite easy.
Of course,it wouldn’t be so hard doing these calculations by hand (in fact I did, as an exercise), but using the Jupyter notebook, I can produce a clean version of my work and present it as a PDF or as HTML. Also, I can easily prepare variations on a theme: other similar loadings, other boundary conditions, etc.
BONUS
In the Jupyter notebook, I appended a section proving that Betti’s Theorem can be verified for our specific problem.
A refresher and a little extra intrigue maybe.
I present the problem diagram.

My Jupyter Notebook
What follows here should be easily read by a structural engineer. Probably easily read by a physicist, or maybe a mathematician. Some background is required to follow the calculations.
Please refer to the link to learn more. There are many online tutorials presenting similar deflection calculations.
References