A walkway suspended across a hotel lobby is supported at numerouspoints along it

Question

A walkway suspended across a hotel lobby is supported at numerouspoints along its edges by a vertical cable above each point and avertical column underneath. The steel cable is 1.13 cm in diameter and is 5.75 m long beforeloading. The aluminum column is a hollow cylinder with an insidediameter of 16.14 cm, an outside diameter of 16.24 cm, and anunloaded length of 3.25 m. When the walkway exerts a load forceof8900 N on one of the supportpoints, through what distance does the point move down?
I am havingtrouble getting a formula with the information given aboutdimensions of the cable, as well as what I should do with theformula in relation to the load force.
I am havingtrouble getting a formula with the information given aboutdimensions of the cable, as well as what I should do with theformula in relation to the load force.

Explanation / Answer

   in the given problem we can see that thepart of the load force extends the cable and part compresses thecolumn by the    same distance l    F = (YA AAl / lA) + (YsAs l / ls)    l = F / (YAAA / lA) + (YsAs / ls)         = ........ m

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