A structural component in the form of a wide plate is to be made of a steel alloy that has a fracture toughness of 77 MPa.m ¹/2 and a yield stress of 1400 MPa. Inspection of the plate has identified an internal through the thickness crack of length 7.7 mm. Assume a value of Y=1. What is the maximum stress the component should be subjected to in order to not undergo rapid fracture.
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.
![A structural component in the form of a wide plate is to be made of a steel
alloy that has a fracture toughness of 77 MPa.m ¹/2 and a yield stress of
1400 MPa. Inspection of the plate has identified an internal through the
thickness crack of length 7.7 mm. Assume a value of Y=1. What is the
maximum stress the component should be subjected to in order to not
undergo rapid fracture.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F32542d5e-d4c7-4da9-b658-aee6d8627905%2Fe31bc766-bdfa-44b5-9d4e-18e9e4c29fee%2Frzb5kog_processed.jpeg&w=3840&q=75)
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