The assembly shown consists of n cylindrical shafts, which

Chapter 3, Problem 3.C2

(choose chapter or problem)

The assembly shown consists of n cylindrical shafts, which can be solid or hollow, connected by gears and supported by brackets (not shown). End \(A_{1}\) of the first shaft is free and is subjected to a torque \(\mathbf{T}_{0}\), while end \(B_{n}\) of the last shaft is fixed. The length of shaft \(A_{i} B_{i}\) is \(L_{i}\), its outer diameter \(OD_{i}\), its inner diameter \(ID_{i}\), and its modulus of rigidity \(G_{i}\). (Note that IDi 5 0 if the element is solid.) The radius of gear \(A_{i}\) is \(a_{i}\), and the radius of gear \(B_{i}\) is \(b_{i}\). (a) Write a computer program that can be used to determine the maximum shearing stress in each shaft, the angle of twist of each shaft, and the angle through which end \(A_{i}\) rotates. (b) Use this program to solve Probs. 3.41 and 3.44.