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Continuous Beam Analysis - Stiffness Method

Alvaro_95
10-Marble

Continuous Beam Analysis - Stiffness Method

Hi everyone!

 

I'm sharing with you this worksheet hoping it will help you extract moments, forces and supports reactions from the continuous beam (>=2 spans) for further beam design according the codes you use.

 

Please let me know if you find errors or want to improve the code (calculation time is around 1 min for a 5-spans beam).

 

Alvaro Gavilán

 

(edited 30-09-19: tolerance adjusted in 9. Shear force equation)

15 REPLIES 15

Hi,

 

Thank you for sharing.

 

Regards

Terry

Thanks for sharing. This is for Prime, isn't it? no chance of mcad 15 version?

Yes. For Prime 5. I don't have the MC15.

IMPROVED CODE!

 

I can no longer edit my post, but here I add an improved worksheet for general loading conditions.

English and Spanish versions.

 

http://www.mediafire.com/folder/glwkjqh0f7wcd/Análisis_de_Viga_Continua

 

 

 

 

You can attach them here in a new message.

I very much liked the original post. Did you really mean to share your improved worksheet with password locked calculations?

rgunwaldsen, Yesterday, I updated the files in the mediafire link, without password. I'm sorry but I forgot to attach those files here. I did not knew how to attach two files.

 

So, here it is. Those two improved worksheets without password. What is improved: More than 1 UDL over a span. Any number of conc. vertical loads and moments as you want.

I attach here a tutorial video (in Spanish) for the worksheet.

 

https://www.youtube.com/watch?v=iYfqaDZ-TYs&t=1588s

 

Diagrama de Momento Flexor, Diagrama de Fuerza Cortante y Reacciones Esta hoja de cálculo resuelve vigas de 1 o más tramos bajo cualquier combinación de carga (fuerzas verticales, cargas de momento, cargas uniformemente distribuidas). Descargue su archivo aquí: (recomendación: descargue siempre la

Kudos and thanks.

 

Roger

jwalk
4-Participant
(To:Alvaro_95)

Would someone who has Prime 5 mind printing this to PDF so I can take a look at it? I only have Prime 4. Thanks!

LucMeekes
23-Emerald III
(To:jwalk)

Here's the file converted to Prime 4 for you.

 

Success!
Luc

jwalk
4-Participant
(To:LucMeekes)

Awesome, thank you so much!

LucMeekes
23-Emerald III
(To:jwalk)

You (or someone else) may be also interested in the improved versions (See Alvaro's post of 2019-10-06)...

 

Luc

Hi

I like the Continuous Beam Analysis Improved version. I have made some improvements to allow different "Youngs modulus" inputs and values of "I" for different beams. Converted to M-Prime 10.0, have added the missing "Excel Component" and converted to English (Sorry apologise the Spanish speakers that I am not).

 

Something that I am unable to get to work is the Shear Diagram.

I have attached the file for someone smarter than me to have a look.

 

Kind Regards

Richard

Werner_E
25-Diamond I
(To:RA_11916876)


Something that I am unable to get to work is the Shear Diagram.

V is a vector, so it should read simply V in the plot you tried and not V(x).

x in your sheet is still a range, so the plot does not work.

There was a convenient, but undocumented way to turn a range into a vector by simply using an inline evaluation.
This seems to have done with x in the sheet you converted. But unfortunately starting with Prime 10 this trick does not work anymore and Prime 10 offers no alternative.

So I added a small utility function which turns a range into a vector to make the plot work.

Werner_E_0-1727857777939.png

Prime 10 sheet attached

Thank You, Werner_E

 

I did say someone much smarter than me would be able to work it out.

I have been using MathCAD for 5 weeks now, learning a lot of other very bright people so Thank You to every one.

 

Cheers

Richard

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