An initially straight beam AB is bent into a circular arc A'B' as shown in the figure. The deformation is specified as
Where g(X2) is a simple function of X2.
(a) Find the deformation gradient in terms of g(X2).
(b) If the volume of the beam does not change, find g(X2).
(c) Using g(X2) in (b), find U, Q, and V.