(b) A steel component in the form of a narrow long plate has a uniform rectangular cross section with 120 mm width and 20 mm thickness. During service the plate is subjected to a tensile axial load which varies between 90 kN to 420 kN. A routine inspection has revealed that a small edge crack has formed in the plate. The crack appears to be through thickness and the plane of the crack is perpendicular to the applied load. The depth of the crack was measured to be 1.3 mm. The stress intensity factor for the configuration is given by K, =1.95 o v n a MNm-3/2. a The plate material has a fracture toughness of 124.9 MNm-3/2 and the fatigue crack growth rate is represented by the Paris-Erdogan equation, da (m/cycle) = 1.24 x 10-11 (AK)2 .4 dN where AK is in MNm-3/2. During service the crack length must not exceed 50% of the critical crack length. Estimate the maximum number of load cycles that can be safely applied to the component.

(b) A steel component in the form of a narrow long plate has a uniform rectangular cross section with 120 mm width and 20 mm thickness. During service the plate is subjected to a tensile axial load which varies between 90 kN to 420 kN. A routine inspection has revealed that a small edge crack has formed in the plate. The crack appears to be through thickness and the plane of the crack is perpendicular to the applied load. The depth of the crack was measured to be 1.3 mm. The stress intensity factor for the configuration is given by K, =1.95 o v n a MNm-3/2. a The plate material has a fracture toughness of 124.9 MNm-3/2 and the fatigue crack growth rate is represented by the Paris-Erdogan equation, da (m/cycle) = 1.24 x 10-11 (AK)2 .4 dN where AK is in MNm-3/2. During service the crack length must not exceed 50% of the critical crack length. Estimate the maximum number of load cycles that can be safely applied to the component.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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