Tension at all various of a wire rope subjected to tension

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SUMMARY

The tension in a wire rope subjected to tension does not remain constant throughout its length due to the rope's inherent elasticity. When a wire rope is pretensioned and held between two fixed supports, the tension varies, particularly at the center and the anchorage points. This variation can be effectively modeled using a system of small masses connected by springs, where the extension of the springs correlates directly with the tension at each point along the rope. A simpler scenario, such as hanging the rope from a ceiling, can help illustrate these principles.

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Mechie_11
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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.
 
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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?
 

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