Problem 2.12-10Two cables, each having a length Lof approximately 40 m, support aloaded container of weight W(see figure). The cables, which have effective cross-sectionalarea A548.0 mm2 and effective modulus of elasticity E5160 GPa, are identical exceptthat one cable is longer than the other when they are hanging separately and unloaded. Thedifference in lengths is d5100 mm. The cables are made of steel having an elastoplasticstress-strain diagram with sY5500 MPa. Assume that the weight Wis initially zero and isslowly increased by the addition of material to the container.(a) Determine the weight WYthat first produces yielding of the shorter cable. Also,determine the corresponding elongation dYof the shorter cable.(b) Determine the weight WPthat produces yielding of both cables. Also, determine theelongation dPof the shorter cable when the weight Wjust reaches the value WP.(c) Construct a load-displacement diagram showing the weight Was ordinate and theelongation dof the shorter cable as abscissa. (
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