A steel shaft of uniform 2-in diameter has a bearing span l of 23 in and an overhang of 7 in on which a coupling is to be mounted. A gear is to be attached 9 in to the right of the left bearing and will carry a radial load of 400 lbf. We require an estimate of the bending deflection at the coupling. Appendix Table A–9–6 is available, but we can’t be sure of how to expand the equation to predict the deflection at the coupling.
(a) Show how Appendix Table A–9–10 and Maxwell’s theorem (see Prob. 4–43) can be used to obtain the needed estimate.
(b) Check your work by finding the slope at the right bearing and extending it to the coupling location.