For the thin nonprismatic steel pipe of constant thickness t and variable diameter d shown with applied

Question:

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 reaction moment R1.
(b) Find an expression for twist rotation (3 at joint 3. Assume that G is constant.
(c) Draw the torsional moment diagram (TMD: T(x), 0 ( x ( L).