The rotating shaft below is made of AISI 1006 CD steel and is simply supported at bearings A and B.Shown in the figure is the steady force F = 1,600N making an angle of 20° with the z-direction. Alsoacting on the gear and the shaft is a steady axial force of P = 1,500 N. At the critical section of theshaft at B, take the fatigue stress concentration factors for bending, axial and torsion as (K)bend=1.6,(Ki)ax=2.5 and K=1.3. Assume a reliability of 95 %. All dimensions in the figure are in mm.ахa) Find the endurance limit for the shaft (Se).b) Determine alternating and midrange stress components at the critical section B.c) How much are equivalent (von Mises) alternating and midrange stresses (oa' and ơm) at B.d) For an infinite life, find the fatigue factor of safety (nà using the Gerber method.e) Calculate the (first-cycle) yield factor of safety (ny).f) Find the life of the shaft (number of cycles, N).200FShaft Diameter = d = 206020°BGear Diameter = D= 60X

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The rotating shaft below is made of AISI 1006 CD steel and is simply supported at bearings A and B. Shown in the figure is the steady force F = 1,600 N making an angle of 20° with the z-direction. Also ucting on the gear and the shaft is a steady axial force of P = 1,500 N. At the critical section of the haft at B, take the fatigue stress concentration factors for bending, axial and torsion as (KỳbendF1.6, Kðax=2.5 and Ks=1.3. Assume a reliability of 95 %. All dimensions in the figure are in mm. a) Find the endurance limit for the shaft (Se). b) Determine alternating and midrange stress components at the critical section B. c) How much are equivalent (von Mises) alternating and midrange stresses (oa' and ơm') at B.

The rotating shaft below is made of AISI 1006 CD steel and is simply supported at bearings A and B. Shown in the figure is the steady force F = 1,600 N making an angle of 20° with the z-direction. Also ucting on the gear and the shaft is a steady axial force of P = 1,500 N. At the critical section of the haft at B, take the fatigue stress concentration factors for bending, axial and torsion as (KỳbendF1.6, Kðax=2.5 and Ks=1.3. Assume a reliability of 95 %. All dimensions in the figure are in mm. a) Find the endurance limit for the shaft (Se). b) Determine alternating and midrange stress components at the critical section B. c) How much are equivalent (von Mises) alternating and midrange stresses (oa' and ơm') at B.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.5.28P: A crank arm consists of a solid segment of length bxand diameter rf, a segment of length bltand a...

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