Design of the optimum support location for a beam -5 m- 20 kN/m 5 m B A D The beam AB shown above is hinged at B and is supported by a roller at D. This support D is to be designed to carry a load uniformly distributed from its end A to its midpoint C with maximum efficiency. The objective here is to find the best location for the support D, i.e., to find the best value of the distance a (which we will call a"). The allowable values of a are 0 a ≤5. The design will be optimum when you place the roller support D such that the maximum of the absolute value of the bending moment in the beam is minimized. i.e.. your design should be such that the peak of the bending moment magnitude is as small as possible. Note that the bending moment M(x) varies with x along the length of the beam from A to B.