3. Spur Gear Design & Analysis (40 points) A mechanical system is designed to drive a machine, as shown in the following

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3 Spur Gear Design Analysis 40 Points A Mechanical System Is Designed To Drive A Machine As Shown In The Following 1 (64.38 KiB) Viewed 20 times

3. Spur Gear Design & Analysis (40 points) A mechanical system is designed to drive a machine, as shown in the following figure. The design parameters for the spur gears and the motor are summarized below. Motor speed Gear Diametral pitch P Gear pressure angle 8 teeth/in. Output power of the Motor, H Ф n 20° 1,700 rpm 2 hp -24T To driven machine (a) Draw a free-body diagram of the idler gear (32 teeth) and find all forces that act on the idler gear. (15 points) (b) Draw a free-body diagram of the shaft AB and find all forces that act on the shaft. (15 points) (c) The pinion gear (16 teeth) is made of Grade 1 steel, through-hardened at 250 Brinell. The pinion gear has a life of 107 revolutions. The stress cycle factors can be calculated with YN=1.3558N-0.0178. The reliability for the gear mesh design is 95% (KR = 0.868). A unit temperature factor Kr is used for the gear mesh design (K₁=1). If the bending stress on this pinion gear o= 15,000 psi, estimate the safety factor, Sr against the tooth bending of this pinion gear. (15 points) 16T 32T 1700-rpm motor