Given an aluminum shell perfectly bonded to a steel core, what is the thermal stress in the aluminum shell when the system is heated from the unstressed state (20∘𝐶) to 180∘𝐶? Consider only deformations in the axial directions. Give your answer in 𝑀𝑃𝑎

Question

𝛼𝐴𝑙=23.6×10−6𝐾−1

𝐸𝐴𝑙=70𝐺𝑃𝑎

𝛼𝑆𝑡𝑒𝑒𝑙=11.7×10−6𝐾−1

𝐸𝑆𝑡𝑒𝑒𝑙=200𝐺𝑃𝑎

Cilinder dimensios= 200mm, 50 mm and 20mm

Thermal stress in Al shell (in 𝑀𝑃𝑎):