roblem 1 (35 pts): The beam ABC is fixed at A, hinged at B, and supported by a roller at C. The reactions at A and Care shown on the figure. Ignore axial and shear deformations. Take E= 200 GPa. l, = 400 x 10 mm", Using Virtual Work Method, determine the vertical deflection at E (located at midspan of segment BC) a. Due to the externally applied loads (25pts) b. Due to the rotational support displacement at A of 0.002 rad clockwise (5pts) c. If you are asked to double the moment of inertia from I to 21 on one of the members (AB or BC) in order to minimize the vertical displacement at E, which one would you choose? State why? (5pts) 75 kN.m 32.5 KN 15 kN/m B Hinge 20 kN/m -4 m- 30 kN -3 m- Note: the datum for every member, i.e. origin of x. is indicated on the figure