Problem 2 A transfer case for a four-wheel drive truck has receives 200 hp from the engine at a shaft speed of 1600 rpm ccw relative to the +x-axis. The case delivers 150 hp to the rear axle differential and 50 hp to the front axle differential. The power is transferred internally via a roller chain drive. The rear axle sprocket and front axle sprocket have the same pitch diameter. There is no internal chain tensioner, and when at rest the chain tension is negligible. (a) Sketch isometric shaft/sprocket FBDs for the (1) rear axle shaft/sprocket subassembly and (ii) front axle shaft/sprocket subassembly. Coupler W 200 Fra le Statb 1800 rpm Input from Engine Rele Stat 4.0in Agg c 25 n kel H 12 40m lo FreetAde 20h 201 to ko K D 20 C Roler Chain Housing Rear Ade 3.3in E W150 hp (1T M Coupler (b) Sketch isometric component FBDs for the (1) rear axle sprocket and (ii) rear axle shaft. (c) Sketch isometric component FBDs for the (1) front axle sprocket and the (ii) front axle shaft. (d) Calculate Tri, the input torque for the rear axle shaft. (e) Calculate the chain tension, F.. (f) Calculate the bearing reaction forces for bearing B, bearing D, bearing H, and bearing J. () Sketch a complete set of internal load diagrams for the rear axle shaft. What is the maximum internal torque and internal bending moment in the shaft. Ignoring stress concentrations and diameter changes, where is the shaft critical section? 3.5in 35 H, (lbf) J, (lbf) (h) T (in-lbf) max M (in-lbf) max (in-lbf) (in-lbf) Problem 2 Numerical Answers (e) Tin (in-lbf) (f) F (lbf) (2) B (lbf) y D, (lbf) Rear Ad Spok (h) Sketch a complete set of internal load diagrams for the front axle shaft. What is the maximum internal torque and internal bending moment in the shaft. Ignoring stress concentrations and diameter changes, where is the shaft critical section? Show loads symbolically on the FBDs of parts a-c. Fre Sprocket