The figure shows a rigid bar A C B supported by three rods marked 1, 2 and 3. The distance between the points A and C is 0.7 meters and the distance between the points C and B is 0.3 meters. Rod 1 is 3 meters long and has one end pinned to the bar at A and the other end fixed to the roof. The parameters for rod 1 are A subscript 1 which equals 150 square millimeters and E subscript 1 which equals 200 giga pascals. Rod 2 is 1.8 meters long and has one end pinned to the bar at B and the other end fixed to the roof. The parameters for rod 2 are A subscript 2 which equals 400 square millimeters and E subscript 2 which equals 70 giga pascals. Rod 3 is 1.8 meters long and has one end fixed to the bar at the point C and the other end is labeled D. The parameters for rod 3 are A subscript 3 which equals 400 square millimeters and E subscript 3 which equals 70 giga pascals. The force at point D is directed vertically downwards and has a magnitude of 80 kilo newtons.

An assembly consists of three rods attached to rigid bar ACB. Rod (1) is steel and rods (2) and (3) are aluminum. The area and elastic modulus of each rod are noted on the sketch. A force of 80 kN is applied at D.

Determine the vertical deflections of joints A, B, C, and D.