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stillife1-Visitor
1-Visitor
July 7, 2010
Question

Pucher Charts (Plate Internal Forces) In Mathcad

  • July 7, 2010
  • 4 replies
  • 13489 views

Hi all,

I have just started using Pucher charts to compute internal forces (specifically moments) in plate elements. While the charts are very easy to use once you've understood how they work, it can be tedious to use them over an over, especially if iterations are necessary. I read through the book by Aloph Pucher to try and understand how the influence surface contour plots were generated, but I was unable to find that information. I was wondering if anyone else here has used the plots and knows if they can be generated in mathcad (or any other mathematics based application) with finer intervals. I'm trying to see if the plots are based on solutions to the differentiation of the deflection surface or through some emperical method. I'm hoping that if the plots are created mathematically, it could be possible to use mathematics capability of mathcad (or mathematica) to compute moments by integrating over the loaded areas.

I hope I'm making sense. As I said I've just started using this method so please point out any flaws in my understanding.

Any and all help is appreciated in advance,

Bests,

Ali

4 replies

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DanMarotta12-Amethyst
12-Amethyst
July 21, 2010

Hi Still Life,

I'm not familiar with Pucher charts but I'm sure another Mathcad community member is. Perhaps you could share a little more about yourself by completing your profile so members can tailor their response to fit your needs.

-BostonDan

<bump>

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jeanGiraud1-Visitor
1-Visitor
July 21, 2010

"Pucher charts"

... do you mean the Mathcad coding for the *.PDF FORTRAN code ?

That should be no problem, but you must collect the formulas you

want and start by a project description.

jmG

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BillWadsworth10-Marble
10-Marble
July 23, 2010

If you are working with rectangular plates, this finite difference formulation might be of help. You need to allow for the fact that it is an approximate method particularly in the vicinity of point loads or point supports.

Bill Wadsworth

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MikeArmstrong1-Visitor
1-Visitor
July 23, 2010

Bill, thanks for sharing the worksheet. As you said in your post it is an approximate method, but is an alternative to doing a FEA analysis. Have you got any simple worksheets which you are willing to share? Maybe a simple beam analysis showing the deflection along the beam as you have in your sheet.

Mike

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BillWadsworth10-Marble
10-Marble
July 24, 2010

Mike,

How about this one for a statically determinate beam?

Bill

A
AjayaMalla1-Visitor
1-Visitor
August 9, 2010

Pucher charts, as the name implies are meant to aid graphical solution of plate bending/shear. To have those in MathCAD, one would need to code MathCAD for the solution (lots of differential equation solving). Would it be easier to pick up solutions from Roarks instead and code them?

I use the Pucher charts fairly often. Have them digitized in AutoCAD where I can get bending moment readoffs by drawing in my imposed load footprint.

Cheers. Ajaya

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