Consider the loaded shaft illustrated in Figure Q4 (i). Theshaft is simply supported at A and D. The shoulder filletradius is 0.3 cm at B and C.If the shaft is subjected to a force of F-800 N, determine thefollowing:(a)The reaction forces at the two ends of the shaft A and D.(b)The bending moments at shoulder fillets B andC.(c)The nominal stresses at shoulder fillets B and C.(d)The stress concentration factor at shoulder fillet B.(e)The maximum stress in the shaft taking into account stressconcentrations.800 NT-0.3 canAd, - 3 cmd, = 5 cmd, - 3 cm5 cm8 cm8 cm12 cmFigure Q4 (i)The reference parameters are shown in Figure Q4 (ii) in thepage that follows. For 0.002 srlds 0.3 and 1.01 s Dlds 6.0,the stress concentration factor for bar bending is given as:kn-4.4= 0.632 + 0.377-0.14 – 0.363(P/a)" + 0.503(P/a)1- 2.39(P/a) + 3.368(2la)*-0.5The nominal stress is:32M%3Dnd3

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Answered: (a) The reaction forces at the two ends…

(a) The reaction forces at the two ends of the shaft A and D. (b) The bending moments at shoulder fillets B and C. (c) The nominal stresses at shoulder fillets B and C.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.3.15P: A hollow steel shaft used in a construction auger has an outer diameter d2= 6.0 in. and inner...

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