31. See Figure P12–31 . The shaft is rotating at 650 rpm, and it receives 7.5 hp through a flexible coupling. The power

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31. See Figure P12–31 . The shaft is rotating at 650 rpm, and itreceives 7.5 hp through a flexible coupling. The power is deliveredto an adjacent shaft through a single helical gear B having anormal pressure angle of 20° and a helix angle of 15°. The pitchdiameter for the gear is 4.141 in. Review the discussionof forces on helical gears in Chapter 10 , and use Equations 12–1(), (12–2), (12–4), and (12–5) in this chapter to verify the valuesfor the forces given in the figure. Draw the complete free-bodydiagrams for the shaft in both the vertical plane and thehorizontal plane. Then draw the complete shearing force and bendingmoment diagrams for the shaft in both planes.

31 See Figure P12 31 The Shaft Is Rotating At 650 Rpm And It Receives 7 5 Hp Through A Flexible Coupling The Power 1 (25.65 KiB) Viewed 13 times

-3— WxB A Mating worm not shown W₁B WrB Spacer B W₁B B Flexible coupling DB 4.141 in. W₁B = 351 lb WrB = 132 lb WxB = 94 lb Helical gear