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TikkaMasala12-Amethyst
12-Amethyst
November 13, 2017
Solved

Stress below circular loading

  • November 13, 2017
  • 1 reply
  • 4157 views

Hello

 

I'm trying to compute the stress under circular load (not only below center line, but below any point).

 

I have found the attached article about the topic, but I wasn't able to make the computation indicated in formula 3c. The units doesn't seem to match. (http://onlinepubs.trb.org/Onlinepubs/hrr/1963/39/39-004.pdf)

 

I have found an old mathcad computation sheet about the problem, but the reference to these formulas is unclear.

 

The attached sheet includes some of my tries to solve this problem based on the attached article.

But my feeling is that I'm not even close...

 

Thank you for your help in advance.

Best answer by LucMeekes

Is this what you are looking for:

LM_20171113_Stress.png

 

Success!
Luc

1 reply

L
LucMeekes23-Emerald IVAnswer
23-Emerald IV
November 13, 2017

Is this what you are looking for:

LM_20171113_Stress.png

 

Success!
Luc

    T
    TikkaMasala12-AmethystAuthor
    12-Amethyst
    November 14, 2017

    Thank you for your quick answer.

     

    With this change you proposed the computational stress values seem to match with the 

    older mathcad sheet, which was as attached in that zip file.

     

    Could you, or someone else, explain why the infinity is divided with meters?

    I mean, yes the result is apparently correct, but the reason for strange unit 1/m for the upper and lower

    integral limit is unclear to me...

     

    F
    Fred_Kohlhepp23-Emerald I
    23-Emerald I
    November 14, 2017

    Mathcad requires "unit balance".  The integral terms consist of terms in the form R times alpha.  R you have given the dimension meters, but R times alpha needs to be unitless or the Bessel functions won't evaluate.  So, giving alpha the units of 1/meters allowed the program to evaluate.  (It was genius!)

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