2. Benchmark solution#

2.1. Calculation method used for the reference solution#

The reference arrow relates to an inextensible cable of \(105m\) over a span of \(100m\). It is obtained by solving a transcendent equation [bib2].

2.2. Benchmark results#

The reference arrow is \(13.93m\), equal for each range.

2.3. Uncertainty about the solution#

Semi-analytical solution.

2.4. Bibliographical references#

[1]

  1. AUFAURE, “A finite pulley cable-element”, Document R3.08.05 (1996).

[2]

  1. MAX IRVINE, “Cable Structures”, The MIT Press (1981).