Obtain a formula for the ratio C max of the deflection at the midpoint to the maximum deflection for a simple beam supporting a concentrated load P (see figure). A horizontal beam A B has length L. The beam is supported by a pin support at its left end A and by a horizontal roller support at its right end B. Load P acts downward on the beam to the right of its midpoint, distance a to the right of the left end and distance b to the left of the right end, where a > b. Use the formulas of this example. (Use the following as necessary: a and L. The beam has constant flexural rigidity E I.) C max = From the formula, plot a graph of C max versus the ratio a L that defines the position of the load (0.5 < a L < 1). What conclusion do you draw from the graph? (Submit a file with a maximum size of 1 MB. Your submission will be graded by your instructor after the due date based on its accuracy. Your grade may change.)