I have attached a mathcad file.. and the moment diagram at the end doesn't match
with expcted output.. it should have gone smoothly to end with x coordinate 5m.
but at certain point it has jumped to postive rigion.

Please help fix it.
Thanks

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I have no idea why mathcad plots that segment faulty.
But it is possible to plot correct graphic in SMath.
However SMath integration is not very good and fast.
It will take much more time than mathcad, and zig-zagy.
You can improve plot by increasing Integrate: Accuracy.
It is in Tools>Options>Calculation.

Regards

PS: I increased accuracy to 500 to get a decent plot.
It took 50 seconds to plot in the picture!!
Integration should really be improved.

UDL.sm (18,08 KiB) descargado 1407 vez(es).

In the interactive handbook you can find examples for beam analysis.

They use symbolic integration and equation solving with Maxima. This is very fast, except for the Maxima restart at the beginning of the sheet (can be removed if all works well).

Mostrar spoiler

example maxima beam.sm (41,78 KiB) descargado 1927 vez(es).

Sorry but I have problem again

with M(5m)=-0.2083 kN m
it should have been
M(5m)=0

Wrote

Sorry but I have problem again

with M(5m)=-0.2083 kN m
it should have been
M(5m)=0

My sorry it is correct.. since it is overhang it should have moment at the end;;

Though it should be smaller. Probably zero by the way.
Result can be reduced with integral accuracy set to 10000.
SMath integral algorithms are not good enough.

Regards

Hi. Remembering that solving an ODE is also told to integrate it:


UDL.sm (22,97 KiB) descargado 1390 vez(es).



The domain can also be restricted to M(x) by multiplying it by the corresponding inequalities.

Best regards.
Alvaro.

Wrote

My sorry it is correct.. since it is overhang it should have moment at the end;;

Finite Differences [FD] is a very good yardstick insensitive to noise.
It that what you mean moment at the end ?
Cheers ... Jean.

Page2 FD.sm (57,85 KiB) descargado 1576 vez(es).

Wrote

Hi. Remembering that solving an ODE is also told to integrate it:
The domain can also be restricted to M(x) by multiplying it by the corresponding inequalities.

Best regards.
Alvaro.

This is a marvelous solution.
I learned a new thing today.
Thanks Razonar.

Maybe I am wrong but I think formula should be like this.
Huge kN*m values appear if calculated as in the picture above.

Regards

ODE integrator(s) range from exact [rarely]
approx. 4 decimals ... to glorious freak !
64 bits Smath does not have 32 bits Matlab ODE.
Recently checked on my PC2 this damned bug.
Cheers ... Jean.

ODE 0 TEST [17].sm (45,27 KiB) descargado 1147 vez(es).

Revisit from few months ago.

Wrote

Maybe I am wrong but I think formula should be like this.
Huge kN*m values appear if calculated as in the picture above ...

Hi overlord. You're absolutely right. Thanks for catching that error. Only 3 orders of magnitude. Who could worry about that? The Mathcad block can also be used, although I don't know if this is the best way to deal with the units, using an intermediate function Mo.



UDL.sm (26,96 KiB) descargado 1377 vez(es).

Best regards.
Alvaro.