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7/9/24, 8:30 AM Quiz: HW3 Fatigue & Deflection HW3 Fatigue & Deflection Instructions: Question 1 30 pts The shaft shown in the figure is driven by a gear at the right keyway, drives a fan at the left keyway, and is supported by two deep-groove ball bearings. The shaft is made from AISI 1020 cold-drawn steel. At steady-state speed, the gear transmits a radial load of 230 lbf and a tangential load of 633 lbf at a pitch diameter of 8 in. https://canvas.tamu.edu/courses/295605/quizzes/499064/take?preview=1 1/5 7/9/24, 8:30 AM Quiz: HW3 Fatigue & Deflection 4 12.87 4 8.50 - 0.20 > - 2.20 2.75 0.485 - 0.75 - +2.0 1.181 1.70 1.750 1.40 > ( 1.181) 1.000 2.0 IS R. 117 4 +X * keyway +R. 1 1 0.1 R. 32 R. 3 × 18 keyway (a) Determine fatigue factors of safety at any potentially critical locations using the DE-Gerber failure criterion. (b) Check that deflections satisfy the suggested minimums for bearings and gears in Table 7-2 (see below). Table 7-2 Typical Maximum Ranges for Slopes and Transverse Deflections Slopes Tapered roller 0.0005-0.0012 rad Cylindrical roller 0.0008-0.0012 rad Deep-groove ball 0.001-0.003 rad Spherical ball 0.026-0.052 rad Self-align ball 0.026-0.052 rad Uncrowned spur gear <0.0005 rad Transverse Deflections Spur gears with P < 10 teeth/in 0.010 in Spur gears with 11 < P < 19 0.005 in Spur gears with 20 < P < 50 0.003 in Upload https://canvas.tamu.edu/courses/295605/quizzes/499064/take?preview=1 2/5 +0.15 1 R. -. R. 7/9/24, 8:30 AM Quiz: HW3 Fatigue & Deflection Choose a File :::: Question 2 30 pts The shaft shown in Figure.a is proposed for the application shown in Figure.b. Figure.a Gear center Gear center 0.5 > 16 14 9 1.00 1.3 1.75 2.5 1.75 1.3 1.00 1 + > e - 1 1 1 1 2 > 15 - 10 > - 17 11 > - 41 - y 16 in O 14 in 100 FR 9 in Figure.b Z 20° 1.25-in dia. ¥ Gear A 20-in dia. A 000 00 Gear B x B 8-in dia. FA= 300 Ibf 20° https://canvas.tamu.edu/courses/295605/quizzes/499064/take?preview=1 3/5 7/9/24, 8:30 AM Quiz: HW3 Fatigue & Deflection The material is AISI 1018 cold-drawn steel. The gears seat against the shoulders, and have hubs with setscrews to lock them in place. The effective centers of the gears for force transmission are shown. The keyseats are cut with standard endmills. The bearings are press-fit against the shoulders. (a) Determine the minimum fatigue factor of safety using the DE-Gerber fatigue criterion. (b) Check that the deflections satisfy the suggested minimums for bearings and gears in Table 7-2 (see below). If any of the deflections exceed the recommended limits, make appropriate changes to bring them all within the limits. Table 7-2 Typical Maximum Ranges for Slopes and Transverse Deflections Slopes Tapered roller 0.0005-0.0012 rad Cylindrical roller 0.0008-0.0012 rad Deep-groove ball 0.001-0.003 rad Spherical ball 0.026-0.052 rad Self-align ball 0.026-0.052 rad Uncrowned spur gear <0.0005 rad Transverse Deflections Spur gears with P < 10 teeth/in 0.010 in Spur gears with 11 < P < 19 0.005 in Spur gears with 20 < P < 50 0.003 in Upload Choose a File Not saved Submit Quiz https://canvas.tamu.edu/courses/295605/quizzes/499064/take?preview=1 4/5 7/9/24, 8:30 AM Quiz: HW3 Fatigue & Deflection https://canvas.tamu.edu/courses/295605/quizzes/499064/take?preview=1 5/5

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