The beam shown in the accompanying figure is a wide-flange W16 x 31 with a cross-sectional area of 9.12 in2 and a depth of 15.88 in. The second moment of area is 375 in4. The beam is subjected to a uniformly distributed load of 1000 lb/ft and a point load of 500 lb. The modulus of elasticity of the beam is E = 29 x 106 lb/in2. Using manual calculations, determine the vertical displacement at node 3 and the rotations at nodes 2 and 3. Also, compute the reaction forces at nodes 1 and 2 and reaction moment at node 1.

1 F 1,000 lb/ft 10 ft 2 +|+251 +25+| -2.5 -2.5 ft 500 lb 3