16 08 5.5 48 18 You have been tasked to evaluate the shaft performance in a gearbox consisting of three shafts and spur gears as shown in Figure 1. (lengths in mm) 040 0120 024 026 042 018 S1.1 020 034 S3.1 S2.1 $2.2 S3.2 ZSI Z$2 Gear 3 Gear 4 Shaft 1 $1.2 $2.2 Shaft 2 $2.3 S3.2 Shaft 3 Gear 1 Gear 2 S1.2 $2.3 S1.1 S2.1 S3.1 046 084 Figure 1: Gearbox consisting of three shafts and the shaft dimensions. 27 10.5 The following are some necessary details: Step d (mm) D (mm) S1.1 Shoulder 18 24 S1.2 Gear 24 46 S2.1 Shoulder 20 26 S2.2 Gear 26 40 S2.3 Gear 26 84 S3.1 Shoulder 34 42 S3.2 Gear 42 120 Input torque on shaft 1 is 82 Nm. The radial force between Gear 1 and Gear 2 is 1297.6 N, respectively. The radial force between Gear 3 and Gear 4 is 2725 N, respectively. While focusing on the design of shaft only, you must choose the material of the shaft. Then evaluate the deflections and critical stresses in Shaft 1 and Shaft 2, considering all the stress concentration features. Shaft 3 is ignored since it is less critical than shaft 2. Summarize how the shaft has been designed with sustainable end-goal by accounting for the strength of the material used and fatigue stress concentration factors. Show detailed calculations in the appendix. IS THE SHAFT DESIGN SAFE? WHY OR WHY NOT? You may come up with any additional assumptions with justifications based on sound engineering judgment. You do not need to consider the design of the gears, keys, set screws or the retention rings mounted on the shaft, but you need to design the key slots, retaining ring grooves, etc. on the shaft.