Chapter 5
Q. 5.10
An internal stainless steel rod is welded to the inside of a carbon steel vessel as shown in Fig. 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.
Step-by-Step
Verified Solution
Weld A is essentially subjected to a uniaxial stress. Hence,
\begin{aligned}\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\end{aligned}