1. Reference problem

1.1. Geometry

	\(O\)	\({P}_{1}\)	\({P}_{2}\)		\({R}_{2}\)	\(C\)
\(x\)
\(z\)

Table 1.1-a : Coordinates of points (en \(m\) )

Names and positions of the nodes (middle of range before installation):

• left hand range: \(\mathrm{N6}\) and \(x=48.50m\)

• right-hand range: \(\mathrm{N19}\) and \(x=160.50m\)

1.2. Material properties

Cable linear weight: \(30N/m\)

Axial stiffness of the cable (product of Young’s modulus by the area of the straight section): \(5\mathrm{.}{10}^{7}N\)

1.3. Boundary conditions and loads

Points \(O\), \(C\), and \({P}_{2}\) are fixed.

The cable, fixed in \(O\), is supported by two pulleys. The first is attached to the lower end \({P}_{1}\) of the suspension attached in \(C\). The second is set to \({P}_{2}\).

The cable is subjected to its weight and is given an arrow by moving its right end from \(\mathrm{10 }m\) from \({R}_{2}\) to \({R}_{2}\text{'}\).

The position of points \({Q}_{1}\), \({R}_{1}\) and \({Q}_{2}\) is not imposed, but care must be taken to ensure that during installation the pulley \({P}_{1}\) stays on the cable section \({Q}_{1}{R}_{1}\).