Calculating Critical Surface Edge Crack for Fatigue Life of Material

  • Thread starter Thread starter chiraganand
  • Start date Start date
  • Tags Tags
    Fatigue Materials
Click For Summary

Discussion Overview

The discussion revolves around calculating the critical surface edge crack for the fatigue life of a material, given specific parameters such as fatigue life, maximum tensile stress, and material constants. The scope includes homework-related problem-solving and technical calculations.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant presents a problem statement involving the calculation of a critical surface edge crack using given parameters and an equation from a textbook.
  • Participants express difficulty in obtaining the correct answer, with one suspecting an error in converting ksi to psi.
  • Another participant suggests that the conversion from ksi to psi is straightforward, indicating that 1 ksi = 1000 psi.
  • Several participants mention consistently arriving at a negative value for the crack length, raising concerns about the validity of their calculations.
  • One participant emphasizes the importance of showing calculations to identify possible arithmetic mistakes.
  • A participant questions the term (-m/2+1) in the denominator of the equation as a potential source of error leading to negative results.
  • Another participant confirms the source of the equation as a textbook on material science, indicating a reliance on established academic resources.

Areas of Agreement / Disagreement

Participants generally express frustration and confusion over the calculations, with no consensus on the correct approach or solution to the problem. Multiple competing views on the source of error and the interpretation of the equation remain unresolved.

Contextual Notes

Participants have not resolved the issue of negative values for crack length, and there are indications of potential errors in arithmetic or understanding of the equation's components.

chiraganand
Messages
111
Reaction score
1

Homework Statement


Compute the crtitical surface edge crack if the fatigue life = 8000000 cycles and maximum tensile stress is 21000 psi. m=3.5 and A= 0.00000000004 in ksi and in. units. Initial crack edge is 0.120 in. Y= 1.15

Homework Equations



The equation is given in the attached file and a0 is the initial crack length and af is final crack length


The Attempt at a Solution


I have tried substitutuing the values in the equation but on substitution and solving i am not getting the correct answer.
I think i am going wrong in the conversion of ksi to psi

Please help me out in this
 

Attachments

Physics news on Phys.org
can someone please help me out in this.. i am using the correct equation substituting correctly both still not able to get the answer..
 
The conversion from ksi to psi is simple: 1 ksi = 1000 psi.

Instead of showing only the raw formula, show your calculations. It may be some simple arithmetic mistake.
 
I have been doing it over and over but get the same answer... I want to know conceptually it is just substitution in the equation right?
 
I am attaching my substitutions in the formula. When I solve I end up getting a negative value for the crack length
 

Attachments

  • 1366825387115.jpg
    1366825387115.jpg
    12.7 KB · Views: 506
Desperately need a solution to the problem! please somebody help me.. i am substituting the values but still get a negative value!
 
I can't read your calculation snapshot.
 
Oh ok sorry for the poor resolution... basically what I have done is just substituted the values in the equation..
I have converted 21000 psi into 21 ksi as in the question it says that A = 4.1x10^-11 in ksi and in..
 
I have attached my solution attempt.. I have substituted and attempted the solutuion
 

Attachments

  • 1366891891221.jpg
    1366891891221.jpg
    6.3 KB · Views: 503
  • #10
I'm not familiar with this equation, but I would check m, especially the term (-m/2+1) in the denominator. That is one reason you are getting a negative crack length. Can you provide a source for this equation?
 
  • #11
The equation is from foundations of material science and engineering 5th edition. by William F Smith and Javad Hashemi... chapter 7
 
  • #12
Somebody... anybody please help me out in this
 
  • #13
If anyone could please help me out in this. If anyone is familar with the Willaim smith book and knows how to solve the problem please let me know.
 

Similar threads

  • · Replies 12 ·
Replies
12
Views
14K