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A rod consisting of two cylindrical portions AB and BC is
Chapter 2, Problem 2.51(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 \(\left(E_{s}=200 \mathrm{GPa}\right.\left.\alpha_{s}=11.7 \times 10^{-6} /{ }^{\circ} \mathrm{C}\right)\) and portion BC is made of brass \(\left(E_{b}=105\right.\text { GPa, } \alpha_{b}=20.9 \times 10^{-6} /{ }^{\circ} \mathrm{C} \text { ) }\). Knowing that the rod is initially unstressed, determine the compressive force induced in ABC when there is a temperature rise of \(50^{\circ} \mathrm{C}\).
Questions & Answers
QUESTION:
A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made of steel \(\left(E_{s}=200 \mathrm{GPa}\right.\left.\alpha_{s}=11.7 \times 10^{-6} /{ }^{\circ} \mathrm{C}\right)\) and portion BC is made of brass \(\left(E_{b}=105\right.\text { GPa, } \alpha_{b}=20.9 \times 10^{-6} /{ }^{\circ} \mathrm{C} \text { ) }\). Knowing that the rod is initially unstressed, determine the compressive force induced in ABC when there is a temperature rise of \(50^{\circ} \mathrm{C}\).
ANSWER:
Step 1 of 4
Draw the free body diagram as below.
