Consider two solid circular rod segments, one of copper alloy and the other of aluminum alloy (6061-T6). Each segment is fixed to a rigid wall at one end and is perfectly aligned with respect to the other but a gap exists between the rods as shown.
i) Let a pair of equal but opposing forces be applied to the free end of each rod.
Find the magnitude, P, which will just close the gap.
Let ?d_1=d?_2=1 in ; L_2=?2L?_1=3 in .
ii) Find the stress induced in the aluminum rod if, after the gap is closed, the two segments are welded together, and then a leftward force is applied of the same magnitude needed to close the gap. Assume the rod segments remain aligned during loading.