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11.9.2 Transformation of the nodal coordinates of the space frame element

SPRstructur
15-Moonstone

11.9.2 Transformation of the nodal coordinates of the space frame element

Dear All 
Please help for calculating  Transformation of the nodal coordinates of the space
frame element, I stuck here both theory and Mathcad Prime.

I attached file of Mathcad prime sheet and lesson and example.

Best regards
SPRStructur

 

39 REPLIES 39

Hi,

What I have found so far.

A divide by zero occurs when the member aligns with the x axis when doing rotations.

Capture.JPG

In the two member model file when I include the rotations it still gets the right answer.

In the three member model it gets the wrong answer whether rotations are there or not.

I do not know why yet but working on it.

Cheers

Terry

Hi,

I am finding little things but am on the right track.

Need to stop for the night.

So far:

Capture.JPG

Cheers

Terry

Hi,

It is very late.

Have finally got success

Will write this up tomorrow.

Capture.JPG

Great Terry

Hi,

This has taken some work.  To find the error I have implemented another approach to check all the matrices.

Your file "220208-Check Model6" is corrected and gets the right answer.  My changes have been highlighted in green.  View in Draft mode to see them all.

The main problem is the application of the equivalent global node loads from the uniform distributed load.

It seems to place them on the first not middle span.  I have only corrected the global load, you will need to determine why the input does not get correct values.

Capture.JPG

Correct answer is determined

Capture2.JPG

 

I have included my file that I used to check all the matrices.

Cheers

Terry

 

 

Cool Terry 
😎 

You are advanced Mathcad User

 


 

I think you do like this may need  lower memory than mine. For me need to break sheet in pieces and control by VBA as my last post about to open run save and close automatically. you are the best!

SPRstructur_0-1644316709384.png

 

Hi,

Sent you the wrong local axis.  Here in the terminology of the vector multiplications e1, e2, e3

Corrected graphics below.

Capture3.JPGCapture4.jpg

Cheers

Terry

Wrong only Picture only right? Algorithm is correct? terry

Hi,

The algorithm is correct only the graphic was wrong.

Cheers

Terry

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