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Jul 12, 2018
01:16 PM

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Jul 12, 2018
01:16 PM

Program with 2 for loops and a while

Hi!

I'm trying to write a small program that calculates a new force for each increment. Each force will calculate the von mises stress at different angles

.

Edit:

My desired output is the force (for each increment), von mises stress and corresponding angle just before the yield criterion. (see file)

Not sure how to finish off my program.

Regards

Sigurd

Thank you!

ps.

Mathcad 2014

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7 REPLIES 7

Jul 12, 2018
01:45 PM

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Jul 12, 2018
01:45 PM

It is a good trick to use the return operator in programs

Jul 12, 2018
03:09 PM

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Oct 16, 2020
02:39 PM

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Oct 16, 2020
02:39 PM

Hi Fred,

Attached is a mathcad sheet that you fixed for another user nearly two years ago. I changed the units and the load values. i have few questions:

1. Does the sheet calculate von Mises stress value for each load Pi applied at different angles from 5 to 45 degrees?

2. I noticed it only reports the largest angle and largest load only. Is that the intent? How do you make it report von Mises stress for each load value?

3. I put a limit on von Mises stress to be less or equal 50 ksi, but the resulting von Mises stress is much larger. i am not sure why.

Thanks,

Sam

Oct 17, 2020
10:31 AM

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Oct 17, 2020
10:31 AM

Sam,

I spent the better part of yesterday working on this problem. The solution I provided did not examine the theory, just sorted out a programming issue that had been presented.

So I missed a basic issue:

Von Mises stress looks at the total stress picture of a particular loading for comparison with a material failure or yielding condition; it gets a lot of use in finite element analysis because it can show where the critical spots are regardless of what stress component made them critical. If you think about that for a minute it means that the Von Mises stress at any particular point cannot depend on an orientation of the frame of reference. Yet that is what you're asking the me to do, "What is the Von Mises stress at different angles?"

I don't believe that the problem as posed in the file is correct. When I have a better answer I'll post it.

Good Luck!

Fred

Oct 17, 2020
01:28 PM

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Oct 17, 2020
01:28 PM

Attached is a corrected Von Mises analysis. The problem originally address was either fatally flawed or beyond my understanding.

The attached file addresses what I think the problem originally was meant to show:

The Von Mises does not change when the frame of reference is rotated, but changing the orientation of the load (which changes the applied stresses) is reflected in the Von Mises stress.

Attached is Prime 4.0 Express, and a pdf of that file.

Oct 18, 2020
09:18 AM

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Oct 18, 2020
06:10 PM

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Oct 18, 2020
06:10 PM

Fred,

Thank you so much and I appreciate your efforts greatly.

Sam