A thin-walled cylinder of a high-strength aluminumalloy (KIC = 24 MPa √m ) has the following dimensions:length = 20 cm; outer diameter = 9 cm; inner diameter7 cm. A semicircular crack of depth a = 0.25 cm is discovered on the inner diameter and oriented along a line parallelto the cylinder axis. If the cylinder is repeatedly pressurized,how many pressure cycles could the cylinder withstandbefore failure? The pressure within the cylinder reaches75 MPa, and the material obeys a fatigue crack propagationrelation of the formda/dN = 5 x 10-39(ΔK)4where da/dN and ΔK have the units of m/cycle and Pa √m ,respectively.
A thin-walled cylinder of a high-strength aluminumalloy (KIC = 24 MPa √m ) has the following dimensions:length = 20 cm; outer diameter = 9 cm; inner diameter7 cm. A semicircular crack of depth a = 0.25 cm is discovered on the inner diameter and oriented along a line parallelto the cylinder axis. If the cylinder is repeatedly pressurized,how many pressure cycles could the cylinder withstandbefore failure? The pressure within the cylinder reaches75 MPa, and the material obeys a fatigue crack propagationrelation of the formda/dN = 5 x 10-39(ΔK)4where da/dN and ΔK have the units of m/cycle and Pa √m ,respectively.
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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Question
A thin-walled cylinder of a high-strength aluminum
alloy (KIC = 24 MPa √m ) has the following dimensions:
length = 20 cm; outer diameter = 9 cm; inner diameter
7 cm. A semicircular crack of depth a = 0.25 cm is discovered on the inner diameter and oriented along a line parallel
to the cylinder axis. If the cylinder is repeatedly pressurized,
how many pressure cycles could the cylinder withstand
before failure? The pressure within the cylinder reaches
75 MPa, and the material obeys a fatigue crack propagation
relation of the form
da/dN = 5 x 10-39(ΔK)4
where da/dN and ΔK have the units of m/cycle and Pa √m ,
respectively.
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