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Fixed End Moments for 2 x Different Point Loads 2

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MatthewMansfield

Civil/Environmental
Aug 11, 2012
47
Hello all

I am trying to find or work out how to calculate the Fixed End Moment (FEM) for 2 x different point loads.

I have the following sketch:-

FEM_tdaa8i.png


All of the FEM tables I have found don't have an example where there are 2 x different point loads and I was wondering if any once could shed any light on this.

Thank you
 
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MatthewMansfield
Try superposition of the two load conditions; do one load at a time and then add the two.
 
I guess as well as an alternative to superposition, you could resolve to a single force at the centroid of the two forces and then apply a standard tabulated case of a single point load (not central) at a given distance from the supports.

EDIT - more I think about this, not sure if correct. So definitely test it.

 
superposition : easiest way ("Civil engineering formulas" - Tyler Hicks - McGraw-Hill)

beam_F-F_W_nyubvh.jpg
 
Another approach is to find the end rotations for a simple span, then calculate the two moments required to produce zero rotation at both ends.

BA
 
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