Two circular aluminum pipes of equal length L = 24 in are loaded by torsional moments T. Pipe 1 has outside and inside dia. d2=3in and d1=2.5in. Pipe 2 has a constant outer diameter of d2 along its entire length L and an inner diameter of d1 but has an increased inner diameter of d3=2.65in over the middle third. Assume E=14000 ksi, v=0.33 and allowable shear stress tau = 6500psi.
A) Find the maximum acceptable torques that can be applied to Pipe 1 and Pipe 2.
B) If maximum twist of pipe 2 cannot exceed 5/4 of that of pipe 1, what is the maximum acceptable length of the middle segment? Assume both pipes have total length L and same applied torque T.