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Problem 3: A rod consisting of two cylindrical portions AB and BC is fixed at both ends. Portion AB is made of steel E = 29x10^6 psi, as = 6.5x10^-6 F, and portion BC is made of aluminum E = 10.4x10^6 psi, as = 13.3x10^-6 F. The rod is initially unstressed and then it is heated from 70°F to 140°F.
a) Draw the free body diagram with the forces.
b) Write the equation for the deformations.
c) Solve for the forces in AB and BC.
d) Calculate the normal stresses in AB and BC.
e) Calculate the deflection of point B.
AB: 24 in
BC: 32 in
B
2-in. diameter
1-in. diameter