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.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.7.5P: Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight...

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