# Matplotlib compatibility patch for Pyodide
import matplotlib
if not hasattr(matplotlib.RcParams, "_get"):
    matplotlib.RcParams._get = dict.get

… for cables

The differential equation for equilibrium relations for cables is based on the infinitesimal small loaded cables:

leading to :

\[{q_z} = - \frac{{{d}V}}{{{d}x}}\]

\[{V} = H\frac{{{d}z}}{{{d}x}}\]

This is treated in chapter 14.1.3 of the book Engineering Mechanics Volume 1 (Hartsuijker and Welleman, 2006).