Pipe 2 has been inserted snugly into Pipe 1, but the holes for a connecting pin do not line up: there is a gap s. The user decides to apply either force P1 to Pipe 1 or force P2 to Pipe 2, whichever is smaller. Determine the following using the numerical properties in the box.
(a) If only P1 is applied, find P1 (kips) required to close gap s; if a pin is then inserted and P1 removed, what are reaction forces RA and RB for this load case?
(b) If only P2 is applied, find P2 (kips) required to close gap s; if a pin is inserted and P2 removed, what are reaction forces RA and RB for this load case?
(c) What is the maximum shear stress in the pipes, for the loads in (a) and (b)?
(d) If a temperature increase ΔT is to be applied to the entire structure to close gap s (instead of applying forces P1 and P2), find the ΔT required to close the gap. If a pin is inserted after the gap has closed, what are reaction forces RA and RB for this case?
(e) Finally, if the structure (with pin inserted) then cools to the original ambient temperature, what are reaction forces RA and RB?

Pipe steel) Pipe 2 (brass) Pi RA RB Pz P2 at