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 acting on the gear and the shaft is a steady axial force of P = 1,500 N. At the critical section of the shaft at B, take the fatigue stress concentration factors for bending, axial and torsion as (Kỳbend=1.6, (K)ax=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 (ơa' and Ơm') at B. d) For an infinite life, find the fatigue factor of safety (n) 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).
Theory and Design for Mechanical Measurements
Measurement is a term that refers to analyzing a manufactured component regarding the degree of accuracy for dimensions, tolerances, geometric profile, roundness, flatness, smoothness, etc. Measurement always involves comparing the manufactured component or the prototype with a standard specimen whose dimensions and other parameters are assumed to be perfect and do not undergo changes with respect to time.Precisely in mechanical engineering the branch that deals with the application of scientific principles for measurements is known as metrology. The domain of metrology in general deals with various measurements like mechanical, chemical, thermodynamic, physical, and biological measurements. In mechanical engineering, the measurements are limited to mechanical specific such as length, mass, surface profile, flatness, roundness, viscosity, heat transfer, etc.
Basic principles of engineering metrology
Metrology is described as the science of measurement, precision, and accuracy. In other words, it is a method of measurement based on units and predefined standards.
I posted the question yesterday, and it is solved from (a) to (c). please solve from (d) to (f).
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