A bar AB having length L and axial rigidity EA is fixed at end A (see figure).

Question:

A bar AB having length L and axial rigidity EA is fixed at end A (see figure). At the other end a small gap of dimension s exists between the end of the bar and a rigid surface. A load P acts on the bar at point C, which is two-thirds of the length from the fixed end.
If the support reactions produced by the load P are to be equal in magnitude, what should be the size s of the gap?