Consider the following scenario: A pipe lay barge operating in 130 m of water must maintain a particular tension in a mooring line to keep it clear off a subsea manifold. The manifold is 12 m high...

Consider the following scenario: A pipe lay barge operating in 130 m of water must maintain a particular tension in a mooring line to keep it clear off a subsea manifold. The manifold is 12 m high above the seabed. The manifold lies at a horizontal distance of 500 m from the barge fairlead. The mooring line is a steel wire rope of 59 mm diameter and 1960 m long; weight per unit length is 14kg/ m. Estimate the required tension at the fairlead that would provide a clearance of 12 m above the top of the manifold (i.e. 24 m above the seabed)? Hint: calculate three values of distance x for three different values of horizontal tension; for example for Tx = 100 kN, 500 kN and 1000 kN. By interpolation, find the tension that is required for the desired horizontal distance of 500 m. Then, find the total line tension. This task is best to be implemented in Excel.