Exam (91).pdf - Question The aluminum alloy 2024-T4 of Table 9.1 is to be used in the form of a plate with a central hole under axial loading as in Fig

Exam (91).pdf - Question The aluminum alloy 2024-T4 of...

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Question: The aluminum alloy 2024-T4 of Table 9.1 is to be used in the form of a plate with a central hole under axial loading, as in Fig. A.11(a). The dimensions are w = 50, d = 10, and t = 20 mm. For a life of N f = 10 7 cycles, estimate the mean force P m if the force amplitude is P a = 50 kN: (a) using Eq. 10.21 and (b) using Eq. 10.28. Answer : Determine the ratio of the diameter of the hole to the width of the plate using the formula; Substitute 10 mm for and for 50 mm for . Refer Figure (A.11) “Elastic stress concentration factors for various cases of notched plates†± in the text book. Obtain the value of from the graph of elastic concentration factor for the notched plate with a hole using the value of . Therefore, the value of for the notched plate with a hole is 2.50.
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Determine the value of fatigue notch factor using Pearson law using the formula; Here, is the material constant. Refer Figure (10.7) “Peterson constant a as a function of ultimate tensile strength for carbon and low-alloy steels†± in the text book.
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