1. Ratings#

\(A\)

area of the straight section of the cable.

\(E\)

Young’s module.

\(F\)

vector of the internal forces of the element.

\({F}_{n}\)

internal force at the \(n\) node.

\(H\)

horizontal component of tension [§An1].

\({I}_{3}\)

3rd order unit matrix.

\(K\)

element stiffness matrix.

\(l\)

current length of the element.

\({l}_{0}\)

length at rest.

\({l}_{i}\)

initial length.

\({l}_{1}\)

\(\overrightarrow{{N}_{3}{N}_{1}}\)

\({l}_{1}\)

Euclidean norm of \({l}_{1}\)

\({l}_{2}\)

\(\overrightarrow{{N}_{3}{N}_{2}}\)

\({l}_{2}\)

Euclidean norm of \({l}_{2}\).

\(N\)

current voltage of the cable constituting the element.

\({N}_{i}\)

initial voltage (pretension).

\(S\)

cable span arrow [§An1].

\(s\)

length of a span [§An1].

\(T\)

current temperature.

\({T}_{i}\)

initial temperature.

\(u\)

vector-displacement of the nodes in relation to the initial position.

\({u}_{n}\)

moving the \(n\) node from its initial position.

\(w\)

weight per unit length.

\({x}_{n}\)

vector-position of node \(n\) in initial configuration.

\(\alpha\)

thermal expansion coefficient.

\(\varepsilon\)

current deformation compared to the initial configuration.