고체역학 (Gere) — Torsion: Problem 3.4-16

3.4-16 For the thin nonprismatic steel pipe of constant thickness \(t\) and variable diameter \(d\) shown with applied torques at joints 2 and 3, determine the following. (a) Find the reaction moment \(R_1\). (b) Find an expression for twist rotation \(\phi_3\) at joint 3. Assume that \(G\) is constant. (c) Draw the torsional moment diagram (TMD: \(T(x), 0 \le x \le L\)).