(Solved): ( 2 point) Consider the two bar system shown below consisting of a thin bar of Nickel and a thicke ...

( 2 point) Consider the two bar system shown below consisting of a thin bar of Nickel and a thicker bar made of stainless steel. The bars are of circular cross section and the upper end is fixed in place while the lower end is constrained to move only vertically. The bars are rigidly connected to each end and constrained such that their length is always equal. The system is stress free at room temperature \( (\mathrm{T}=24 \mathrm{C}) \). The temperature is now raised to 500 C. The length of the bars is \( 10 \mathrm{~cm} \). a. Assume that the behavior is elastic and no yielding occurs, what would be the final length of the bars? b. What would be the stress held in each bar at \( 500 \mathrm{C} \) ? c. Observing part \( \mathrm{b} \), is our assumption that there will be no yielding correct? How will that affect the final length of the bars? What information would you need to find the final length at \( 500 \mathrm{C} \) ? What would happen when it was allowed to cool?