Question

Part I The shaft rotating at 240 rpm carries a spur gear D having 48 teeth with a Pd 6. The teeth are of the 20 degrees, full depth, involute form. The gear receives 15 hp from pinion Q located as shown. Compute the torque delivered to the shaft and the tangential and radial forces exerted on the shaft by the gear Resolve the tangential and radial forces into their horizonal and vertical components and determine the net force acting on the shat at D in the horizontal and vertical directions. 12-in V-belt sheave8-n spur gear, 20 FD 30 30° 6-in chain sprocket 0 drives D UNT College of Engineering Sering 2038 CREDITI The shaft rotating at 240.rpm carries a spur gear D having 48 teeth with a&The seeth are of the 20 degrees, full depth, s shown. Compute The gear shaft and the tangential and radial forces delivered to the Resolve the tangential and radial forces oece a

Answer 1

Shaft - N=240 RPM acd--お Pressu re Angle(ф) 200 z-48 曰 Power transfered from Pinion Q to Gear D I5x7457s 1118SS W 5MP Speed of gear D Speed of shaft 240 rpm 60 60 Broer = Torque x Angular velocity 11185.5= Torque x : Torque on shaft18SS 445 057 N-m (Ans) 8TI Free Body Diagram for gear train. re : Tangential Force Fr Radial Force 2. Torque on shaft = Ftox RD 445 0S7 F* (4x 0 0294) # FtD-4380.48 N (ans) ED Fh" FtDtar ф 4380 . 48 tan 28 (ans) 1594 365 Resolvine the Tangential and Radial forces Vertical Direction Net Fore in Horizontal Direction on shaft 1594:365 cos 30- 4380 48 sin30 Horizontal 809 48 N Ans Direction (-ve sign shoros dirn is toroards -ve Horizontal Direction Fr oSinbo Net Force in Vertical Direction on shaft Frpsin3 FED Cos30 = 1594.365. sin 30 t 4380.48 cos 30° cos30 4530789 (AM)