Statically indeterminate built in beams

AI Thread Summary
Calculating the bending moment and deflection of a statically indeterminate beam built in at both ends with uneven distributed and point loads can be complex. Superposition is suggested as an effective method to tackle this problem, allowing for the analysis of non-centered loads. However, resources on fixed-end beam examples are limited, often focusing on simply supported beams with symmetrical load placements. The user seeks guidance on the process and examples for applying superposition to their specific case. Additional insights or references on handling such scenarios would be beneficial.
Richardpaul
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Hi,
I don't know if anyone can help. I would like to be able to calculate the bending moment and deflection of a beam that is:
Built in on both ends (no rotation)
It has 2 different distributed loads not equ ispaced along the beam
and has 2 point loads which are also not eqi spaced.
I can only find nice standard cases of 1 concentrated load OR a distributed load both equally spaced along the beam length.
I was thinking that superposition might be the easiest method

Thanks for any help

Richard
 
Engineering news on Phys.org
Richardpaul: Yes, use the case of a noncentered applied load, and use superposition, four times. Is this a school assignment?
 
nvn
Thanks for the reply. I have looked through all my engineering notes from graduation and a few books. Most of them have simply supported beam examples and only very few fixed end examples. They all seem to follow the same type. eg. concentrated load at the centre or two loads that are nicely spaced symetrically. I wanted to know if the solution was very difficult and how to carry out the process. I am still looking for an example on the method how to do this. If you know would you mind letting me know

Thanks

Richard
 
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