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10-Marble
April 24, 2023
Solved

Mathcad Expression Simplification

  • April 24, 2023
  • 1 reply
  • 1338 views

Hi Guys,

 

Can someone please simplify the final expression for fixed end moment for a point load at any point on the beam? Please see the attached file.

 

Solution should look like below expressions of Fixed end moment

Ma = -Pab^2/L^2

Mb = +Pa^2 b/L^2

Best answer by Suki

Suki_0-1682305381017.png

Thank you for catching the error on multiplication error.

I solved the problem. see above.

1 reply

25-Diamond I
April 24, 2023

You intended a product, but used  an non-existing function b(...)

Werner_E_1-1682302894644.png

 

Then you get

Werner_E_2-1682303251194.png

If thats not the result you expect, you'll have to check your equations/formulas.

 

Your drawing suggests that b = L - a. If thats true, you could use "substitute" to get rid of b

Werner_E_3-1682303980891.png

 

 

 

 

Suki10-MarbleAuthorAnswer
10-Marble
April 24, 2023

Suki_0-1682305381017.png

Thank you for catching the error on multiplication error.

I solved the problem. see above.

25-Diamond I
April 24, 2023

Tricky 🙂

 

Could be done with just two substitutions and in one go

Werner_E_0-1682333473775.png