Tension at all various of a wire rope subjected to tension

[Mechie_11]

Will the tension at various points of a wire rope remain same when subjected to tension?
for example let us assume that a wire rope is pretensioned and held between to fixed supports .So will the tension remain the same at the center and either of the anchorage points.

 

[Simon Bridge]

Nice question - since real rope all stretch a bit, the trick is to model the rope as a series of small masses connected by springs. The extension of the springs is proportional to the tension at that position in the rope.

Try a simpler problem:
What if you just hung the rope from the ceiling?