Answer Happy

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.
-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