Central "through" crack with a concentrated load

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SUMMARY

The discussion centers on the practical implications of a central through crack with a concentrated load, particularly in the context of elliptical cracks. It references the analytical solutions found in "Advanced Strength of Materials" by J.P. Den Hartog, emphasizing the relevance of these cracks in calculating stress concentration factors. The conversation highlights that while elliptical cracks are theoretically significant, practical scenarios, such as stress cracks around rivet holes in aircraft, illustrate their real-world impact. The issue is particularly pertinent in aerospace engineering, where ductility assumptions in riveted connections may not account for stress concentration factors adequately.

PREREQUISITES
  • Theory of Elasticity
  • Fracture Mechanics
  • Stress Concentration Factors
  • Advanced Strength of Materials
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  • Research practical applications of elliptical cracks in aerospace engineering.
  • Study the impact of concentrated loads on material failure in riveted joints.
  • Explore analytical methods for calculating stress concentration factors in various geometries.
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Aerospace engineers, materials scientists, and structural analysts focusing on fracture mechanics and stress analysis in aircraft design.

kajalschopra
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Hi, Please consider the problem below of a central through crack with a concentrated load as shown below.

Can someone please help where does one come across such a problem in a practical world?

How will I have a concentrated load opening the crack? In the physical world, what is that "concentrated load"?

Regards
Kajal
conc_load.gif
 

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I have never heard of an elliptical crack with a concentrated load. The usual case of an elliptical crack is as shown below:
upload_2018-9-7_17-37-11.png


The figure is from Advanced Strength of Materials, by J.P. Den Hartog. Elliptical cracks have a simple analytical solution that is valid for any ratio of b/a. They are used to calculate theoretical stress concentration factors for holes ranging from round all the way to sharp cracks. The general topic is Theory of Elasticity.
 

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The problem is in every textbook of Fracture Mechanics. Can someone please help - in what practical scenarios does one come across such a problem, it is mentioned ina text that the scenario occurs in cracks in rivet holes, however, I cannot understand how.
 
I cannot think of a practical scenario involving a concentrated load in a crack. It certainly does not apply to riveted joints because rivets are ductile, as is the material being riveted. Standard analysis methods for riveted connections assume ductility, so are not based on calculated stress concentration factors.
 

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