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The composite shaft, consisting of aluminum, copper, and steel sections, is subj

ID: 1828727 • Letter: T

Question

The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown. The cross-sectional areas of sections AB, BC , and CD are AAB = 0.10in2 , ABC = 0.15in2 , and ACD = 0.05in2 , respectively. The modulus of elasticity for each section are shown in the figure.


Determine the normal stress in section AB.


Determine the normal stress in section BC.


Determine the normal stress in section CD.


Determine the displacement of end A with respect to end D.

The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown. The cross-sectional areas of sections AB, BC , and CD are AAB = 0.10in2 , ABC = 0.15in2 , and ACD = 0.05in2 , respectively. The modulus of elasticity for each section are shown in the figure. Determine the normal stress in section AB. Determine the normal stress in section BC. Determine the normal stress in section CD. Determine the displacement of end A with respect to end D.

Explanation / Answer

AB= P AB/ A AB =2/0.09=22.2 ksi

BC= P BC/ A BC =5/0.12=41.7 ksi

CD= P BC/ A BC =1.5/0.06=25 ksi

ND=PL/AE= 2(18)/ (0.09)(10)(10^3) +(-5) (12)/ (0.12)(18)(10^3)+(-5)(16)/ (0.06)(29)(10^3)= -0.00157 IN

AMOVES 18TOWARDS END D

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