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The cylindrical shaft shown below is made of an aluminum alloy with a lower yiel

ID: 1860833 • Letter: T

Question

The cylindrical shaft shown below is made of an aluminum alloy with a lower yield limit of 20 ksi in shear. The initial length of the specimen is given by L0 = 50 inand the initial diameter is given by d0 = 2.50in . The specimen is then compressed between the two flat metal plates until it reaches a new compacted length of Lf= 49.86in . Using a modulus of rigidity of G=3.704 The cylindrical shaft shown below is made of an aluminum alloy with a lower yield limit of 20 ksi in shear. The initial length of the specimen is given by L0 = 50 inand the initial diameter is given by d0 = 2.50in . The specimen is then compressed between the two flat metal plates until it reaches a new compacted length of Lf= 49.86in . Using a modulus of rigidity of G=3.704

Explanation / Answer

sigmax=-0.14/50*10.1*10^6;

deltar=-nu*sigmax/E*r=2.54*10^-3 in.;

newr=deltar+r; change in area=pi*(newr^2-2.5^2)=0.04in^2

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