Replicating MathCAD given and find function to solve Castigliano curved beam deflection

Replicating MathCAD given and find function to solve Castigliano curved beam deflection - Replicating MathCAD given and find function to solve Castigliano curved beam deflection - Mensajes

#1 Publicado: 29/6/2026 11:36:12
Peter Baxter

Peter Baxter

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I used the old MathCAD before MathCAD prime to solve Castigliano theorem with the Given and Find function;

MathCAD output for Castigliano theorem.jpg

I found a MathCAD Toolbox plugin within SMath Solver to use the solve block function that I hoped would be able to replicate this functionality however I cannot get this solver to find a solution!

Smath Studio solver error.jpg

I attach the worksheet from SMath Solver.

Castigliano5.sm (15,06 KiB) descargado 649 vez(es).

The first derivatives 3 parts solve similar to MathCAD however even plugging in values for the variables I cannot get the solve block to replicate what could be achieved with MathCAD in terms of given and find!

Can anyone please advise on how to replicate this functionality within SMath Solver to mimic old MathCAD as I am a newbie while using SMath Solver and hope to replace MathCAD with SMath Solver?
#2 Publicado: 29/6/2026 14:36:12
Вячеслав Мезенцев

Вячеслав Мезенцев

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This is roughly how it is done in Mathcad, but getting the same result is not so easy.

image.png

image.png

Castigliano5.sm (9,72 KiB) descargado 601 vez(es).
Editado 29/6/2026 14:50:15
Russia ☭ forever, Viacheslav N. Mezentsev
A 3 usuarios les gustó este mensaje
Peter Baxter 29/6/2026 20:07:34, NDTM Amarasekera 30/6/2026 14:56:33, ioan92 30/6/2026 16:52:59
#3 Publicado: 29/6/2026 19:37:31
Peter Baxter

Peter Baxter

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Thanks sir I am impressed you could quickly roughly get a solve! I wanted to check with you that the .1888056555e is the mathematical constant e (euler's number)? The expression matches with the 3*R^3*F/El almost just the constant is a little different!
#4 Publicado: 29/6/2026 21:18:03
Вячеслав Мезенцев

Вячеслав Мезенцев

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No, it's an exponential representation of a number.
Russia ☭ forever, Viacheslav N. Mezentsev
#5 Publicado: 1/7/2026 2:31:58
Alvaro

Alvaro

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Hi. Numeric solution.

image.png

Castigliano5 al_nleqsolve.sm (10,48 KiB) descargado 595 vez(es).

Or

image.png

Castigliano5 NR.sm (13,66 KiB) descargado 590 vez(es).

Best regards.
Alvaro.
Editado 1/7/2026 6:08:22
A 4 usuarios les gustó este mensaje
sergio 1/7/2026 7:55:46, Вячеслав Мезенцев 1/7/2026 8:40:49, NDTM Amarasekera 1/7/2026 14:47:59, ioan92 3/7/2026 8:39:07
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