... for cables

Figure 14.19 Hartsuijker & Welleman (2006)
The differential equation for equilibrium relations for cables is based on the infinitesimal small loaded cables:
leading to :
This is treated in chapter 14.1.3 of the book Engineering Mechanics Volume 1 Hartsuijker & Welleman, 2006.
- Hartsuijker, C., & Welleman, J. W. (2006). Engineering mechanics: Volume 1: Equilibrium. In Engineering Mechanics: Volume 1: Equilibrium. Springer Dordrecht. 10.1007/978-1-4020-5483-9