An elastic bar has constitutive function

(a) Find the displacement and internal force when the bar is subjected to a constant external force, f = 1. and the ends are held fixed: u(0) = u(1)=0.
(b) Find the Green's function for the boundary value problem describing the displacements of the bar.
(c) Use the resulting superposition formula to check your solution to part (a).
(d) Which point y on the bar is the "weakest", i.e., the bar experiences the largest displacement under a unit impulse concentrated at that point?

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