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analyse of multi bays braced frame

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ap3120

Student
Jun 22, 2021
8
I'd like to get the axial forces in a pinned supported 3 bays braced frame. The frame height is h=8m and the width of one bay is L=7 m.
frame_vi7lwz.png

There is only one point load of 1 kN applied on the top left corner.
I'm trying to get the reactions at the supports, but I don't know how to do that. I've also modelled the frame on SAP2000, and I don't quite understand the results (see image here):
frame2_ijoiwa.png

The horizontal reactions make sense cause the sum is equal to the applied loading : -0.69+0.4+0.25+1.03 = 0.99 kN.
However, if I take the moment about the first support on the left for example, I get:
1*h-10.85*L-10.76*2L-6.88*3L = -363.07 kNm different from zero.
So I must be missing something here, and I'd really like to understand how to solve this by hand.

Thanks for your help.
 
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Thank you very much BA, it's clear now. This is the forces I obtain, it looks very nice!
20210627_233535_itvprj.jpg
 
You are welcome, ap 3120. Glad I was able to help in your understanding.

Just one further comment. It is always a good practice, after completing a complicated calculation, to sum the horizontal and vertical reactions and ensure they satisfy equilibrium, because it is easy to make an error along the way. When I checked your vertical reactions, at first I thought you were off by 300N, but I eventually realized I was reading your second reaction as 462.22 whereas you intended 162.22.

Cheers.

BA
 
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