QUESTION 1 A simply supported beam of length L is loaded at mid-span with a concentrated load, P. For this beam, the following equation is obtained from the Macaulay's Method. EX - ( =12 ) - ( = )( x - 4 ) + CA + C , Prove that the maximum slope and deflection for the beam is 0 = PL' 16EF and y = 48EI ' respectively. Given: C1 = and C2 = 0. (CO2-PO2)(C2) (10 marks) A simply supported beam AB is shown in Figure Q2(b). By using an appropriate influence line diagrams calculate the maximum reactions at A and B if the beam carries a uniformly distributed load of 20 kN/m over its entire length. Re-calculate the maximum reactions at both A and B if there is an additional concentrated load of 11 kN acting at C. If the support at B in Figure Q2(b) is moved to C, determine the maximum positive shear force and bending moment at mid-span of beam AC that can be developed due to a concentrated moving load of 15 kN. (CO2-PO2)(C3) (20 marks) 5.5 m 2.5 m Figure Q2(b)