he simply supported beam consists of a W21 × 44 structural steel wide-flange shape [E = 29,000 ksi; I = 843 in.4]. Assume that the support at D can exert a downward force to maintain equilibirium (contrary to the way it is drawn). Assume L1 = 11 ft, L2 = 8 ft, and L3 = 4 ft. For a loading of w = 5 kips/ft, determine: (a) the beam deflection at point C. (b) the beam deflection at point E.

Asimple speed reducer is composed of 2 spur gears. the pinion gear has a pitch diameter of 0.75" and 36 teeth while the driven gear has a pitch diameter of 4.0" and 192 teeth. a)-what is the diametral pitch of each gear? b)-if an electric motor rotating ccw at 3000 rpm is coupled to the pinion, what is the rotational speed of the driven gear? c)-if the torque delivered to the pinion is 1 n-m, what is the torque on the driven gear? d)-what is the power transmitted by the gear train?