This problem illustrates that the factor of safety for a machine element depends on the particular point selected for analysis. This bar is made of AISI 1006 cold-drawn steel and is loaded by the forces F=0.55 kN, P=4.0 kN, and T=25 N•m. (For AISI 1006 cold drawn steel, S,=280 MPa. “D." means diameter) (a) Calculate factor of safety at the position A based on the distortion-energy theory by calculating the von Mises stress. [6] (b) Calculate factor of safety at the position B based on the distortion-energy theory by calculating the von Mises stress. [6] 100 mm 15-mm D.
Design Against Fluctuating Loads
Machine elements are subjected to varieties of loads, some components are subjected to static loads, while some machine components are subjected to fluctuating loads, whose load magnitude tends to fluctuate. The components of a machine, when rotating at a high speed, are subjected to a high degree of load, which fluctuates from a high value to a low value. For the machine elements under the action of static loads, static failure theories are applied to know the safe and hazardous working conditions and regions. However, most of the machine elements are subjected to variable or fluctuating stresses, due to the nature of load that fluctuates from high magnitude to low magnitude. Also, the nature of the loads is repetitive. For instance, shafts, bearings, cams and followers, and so on.
Design Against Fluctuating Load
Stress is defined as force per unit area. When there is localization of huge stresses in mechanical components, due to irregularities present in components and sudden changes in cross-section is known as stress concentration. For example, groves, keyways, screw threads, oil holes, splines etc. are irregularities.
![This problem illustrates that the factor of safety for a machine
element depends on the particular point selected for analysis. This
bar is made of AISI 1006 cold-drawn steel and is loaded by the
forces F=0.55 kN, P=4.0 kN, and T=25 N·m. (For AISI 1006 cold-
drawn steel, S=280 MPa. “D." means diameter)
(a) Calculate factor of safety at the position A based on the
distortion-energy theory by calculating the von Mises stress. [6]
(b) Calculate factor of safety at the position B based on the
distortion-energy theory by calculating the von Mises stress. [6]
unti O
15-mm D.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3334b334-4e13-449f-aa8d-345e547991a1%2F0d395dd2-d8be-42a3-b373-e3e1e5663d3e%2Frd2f2xh_processed.png&w=3840&q=75)
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