I think you're in a fairly good position then given the circumstances.The builder has been paid in instalments but we've made sure we are behind the line regarding payment for work done and work still to be done. There is still a chunk ££ of the final quote outstanding
I have no idea if there is an SE, if there isn't he's in deep over his head as BC want to see the Calcs. I suspect there is an SE but the build may not comply with the specs he's been given. If the Specs he sends to BC are checked and seen to be inadequate - ie it's SE fault - then I assume he will have to have the specs reworked and resubmitted to BC for checking, agreement and the work rectified accordingly.
As an aside, as there is a crack in the blocks dead centre of the 10m beam, I presume it has sagged. I will measure along it tomorrow. If the beam was correctly specd by an SE, would you expect any sagging at all or non whatsoever ? ie is there an agreed max deflection inbuilt to calcs ?
As others have said beams ahve to deflect to build up resistance to the loading, just like a spring and on most domestic steels it's the deflection that determines the size required. That size increases dramatically as the span increases: your 10m span would need to be 16 times stiffer (the so called "I" value) than for a 5m span. I always advised clients to allow a support somewhere in the span if at all possible to let the sizes be more sensible. Often easy to work in a high unit in a kitchen with a bit of thought.
Strictly the allowable deflection relates only to the live component of the loading as that is what can vary and hence cause movement in the beam
