Question 5.10: An internal stainless-steel rod is welded to the inside of a...

An internal stainless-steel rod is welded to the inside of a carbon-steel vessel as shown in Figure 5.20. If the coefficient of thermal expansion is 9.5 × 10^{−6} in./in.-°F for the rod and 6.7 × 10^{−6} in./in.-°F for the vessel, what is the stress in weld A due to a temperature increase of 400°F? Use E = 28 × 10^{6} psi.

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Weld A is essentially subjected to a uniaxial stress. Hence,

\max \sigma=E \Delta \alpha \Delta T

= \left(28 \times 10^{6}\right)(9.5-6.7)\left(10^{-6}\right)(400)

= 31,400 psi.

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