Homework $2$ :

The straight rectangular $1040$ HR steel bar of the previous example is to be evaluated for an entirely different application in which there are no applied forces at all but the temperature is to be increased by $350C$ Again, in this new application, the bar will cease to properly perform its design function if its length increases $0,16mm$ or more. The linear coefficient of thermal expansion for steel is approximately $12\frac{{10}^{-6}}{}C$

a$.$ What is is the governing failure mode?

b$.$ Is failure predicted to occur?