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Solved: A rod consisting of two cylindrical portions AB
Chapter 2, Problem 2.52(choose chapter or problem)
A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made of steel \(\left(E_{s}=29 \times 10^{6} \mathrm{psi}\right.\left.\alpha_{s}=6.5 \times 10^{-6} /{ }^{\circ} \mathrm{F}\right)\) and portion BC is made of aluminum \(\left(E_{a}=10.4 \times 10^{6} \mathrm{psi}, \alpha_{a}=13.3 \times 10^{-6} /{ }^{\circ} \mathrm{F}\right)\). Knowing that the rod is initially unstressed, determine (a) the normal stresses induced in portions AB and BC by a temperature rise of \(70^{\circ} \mathrm{F}\), (b) the corresponding deflection of point B.
Questions & Answers
QUESTION:
A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made of steel \(\left(E_{s}=29 \times 10^{6} \mathrm{psi}\right.\left.\alpha_{s}=6.5 \times 10^{-6} /{ }^{\circ} \mathrm{F}\right)\) and portion BC is made of aluminum \(\left(E_{a}=10.4 \times 10^{6} \mathrm{psi}, \alpha_{a}=13.3 \times 10^{-6} /{ }^{\circ} \mathrm{F}\right)\). Knowing that the rod is initially unstressed, determine (a) the normal stresses induced in portions AB and BC by a temperature rise of \(70^{\circ} \mathrm{F}\), (b) the corresponding deflection of point B.
ANSWER:
Step 1 of 6
Area of the portion AB.
Area of the portion BC.
