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. |
\({l}_{1}\) |
|
\({l}_{1}\) |
Euclidean norm of \({l}_{1}\) |
\({l}_{2}\) |
|
\({l}_{2}\) |
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. |