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Question 2 16 Marks The double reduction helical gear reducer shown in Figure 2 transmits 40000+4Y W (Y is the last 4 digits of your student identification number). Shaft I is the input, rotating at 200+q rads and receiving power directly from the electric motor through a flexible coupling. Shaft 2 rotates at 90 +q rad/s. shaft 3 is the output, rotating at 27+Q rads. (where Q are the last two , digits of your student identification number). A chain sprocket is mounted on the output shaft as shown and delivers power upward. The data for the gears are given in Table 1 Each gear has a 25-degree pressure angle and a 45-degree helix angle. The combinations of the left- and right- hand helixes are arranged so that the axial forces oppose each others on shaft 2 as shown. As a design engineer, you are required to design that shaft with neglecting the weight of the elements on the shafts and using AISI 5140 OOT1000 for the shaft Table I Gear Diametral PitchPitch Diameter (mm) Number of teeth Face Width (mm 38.1 76.2 50.8 12 24 12 19.05 19.05 25.4 25.4 6152.4 36

762 76.2 Outpu 76.2 76.2 Shaft 3 Input Shaft I xC WxB Shaft 2 762 127 mm 76.2 mm Figure 2

insert Hom Tensile strength, a, LMP 800 1200 100 600 500 400 200 100 60 120 140 160 180 200 220 Tensile strength, (ksa3 Endurance strength s, versus tensile strength for wrought steel FIGURE S-8 for various surface conditions

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