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Mathcad Prime - Breaks in Integral Graph Causing Problems

NR_7752673
5-Regular Member

Mathcad Prime - Breaks in Integral Graph Causing Problems

Hello everyone. 

 

I'm trying to make a spreadsheet that graphs partial uniform loads and seem to have run into an issue. It all works for the most part. However, when trying to graph, the graph typically "fails" in certain places. See my attached file and notice the missing portion of the graph at x=8.4ft. 

 

Is there any way to fix this?

 

Note that I've already tried messing with the TOL global variable to no avail. It usually causes the break to move to a different place in the graph and doesn't actually fix anything. If it does fix it then it is usually just for that one case and if you put in different loads/locations it'll break again. What should I do?

1 ACCEPTED SOLUTION

Accepted Solutions

I opened your sheet with Prime 6 and can confirm that the function returns an error for x=8.4 ft and that changing the TOL value does not solve the problem.

Werner_E_0-1635596671172.png

Slightly changing the value of x.A (to 2.0001 ft) "solved" the problem.

If its just a cosmetic problem and you  are only concerned because of the gap in the plot, you may simply use a slightly different range for x when you plot, something like x:=0 ft, 0,11 ft .. L or x:=0 ft, 0,099 ft .. L works pretty well but the last value for x will be smaller than L (10 ft) and so you may want to let the range run up to L+0.1ft.

 

Your function M uses an integral which in turn calls another function also using an integral. So quite a lot of integrals have to be calculated for the plot and you can see that creating the plot quite takes some time.

Here is a more efficient way by defining function V without an integral:

Werner_E_1-1635597106556.png

Calculation now is lightning fast, the results are more precise even without using a smaller TOL value and the problem with x=8.4 ft is also gone away -> win-win-win 🙂

Of course you could also use the if-function

Werner_E_3-1635597560294.png

or the program if

Werner_E_4-1635597605921.png

if you feel thats better readable. All three version are fast, provide better precision and do not suffer from the 8,4 ft problem.

 

 

 

 

 

View solution in original post

7 REPLIES 7

In version 7.0, everything is displayed normally on the plot:

 

Pic-1.png

 

What version of Mathcad Prime are you using?

ttokoro
20-Turquoise
(To:VladimirN)

Prime7 TOL=10^-3

image.png

TOL=10^-1

image.png

NR_7752673
5-Regular Member
(To:NR_7752673)

I’m on version 3. I guess that’s why. It’s just weird that the whole graph would work fine except one number. 

Tested in Mathcad Prime 3, result (in both cases, I did not change the calculation tolerance, just recalculated the entire worksheet):

 

Pic-2.png

 

 

By the way, if you want to try the Mathcad Prime 7 version, here are the links:

https://www.mathcad.com/en/try-and-buy/mathcad-express-free-download/install

https://free-dl.ptc.com/install/pim_installmgr_mathcad.exe

I opened your sheet with Prime 6 and can confirm that the function returns an error for x=8.4 ft and that changing the TOL value does not solve the problem.

Werner_E_0-1635596671172.png

Slightly changing the value of x.A (to 2.0001 ft) "solved" the problem.

If its just a cosmetic problem and you  are only concerned because of the gap in the plot, you may simply use a slightly different range for x when you plot, something like x:=0 ft, 0,11 ft .. L or x:=0 ft, 0,099 ft .. L works pretty well but the last value for x will be smaller than L (10 ft) and so you may want to let the range run up to L+0.1ft.

 

Your function M uses an integral which in turn calls another function also using an integral. So quite a lot of integrals have to be calculated for the plot and you can see that creating the plot quite takes some time.

Here is a more efficient way by defining function V without an integral:

Werner_E_1-1635597106556.png

Calculation now is lightning fast, the results are more precise even without using a smaller TOL value and the problem with x=8.4 ft is also gone away -> win-win-win 🙂

Of course you could also use the if-function

Werner_E_3-1635597560294.png

or the program if

Werner_E_4-1635597605921.png

if you feel thats better readable. All three version are fast, provide better precision and do not suffer from the 8,4 ft problem.

 

 

 

 

 

Hi,

 

To finish with the superposition of the vectors pw, xA, and xB.

Cheers

Terry

NR_7752673
5-Regular Member
(To:Werner_E)

Thank you for the replies everyone. Much appreciated! The replace the integral with a formula works much better than what I had originally. 

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