Square taper BB axle length advice please?

IbocProSX

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There's probably plenty experience here with square taper BB axles, so here goes. I want to use my ENO cranks on a new project and I have the recommended 113mm BB axle installed. But alas, I find that both crank ends just about touch the chainstays. Not a heavy touch just brushing the surface, but being a bit of a Clydesdale and this a Singlespeed I will need to fit a longer axle.

The question is how much longer? What clearance do I need?
It is a Titanium frame with an excentric insert oversized BB shell BTW.

Thanks in advance.
 
I'd be looking for at least 2mm clearance each side, so I'd try a 118, which IIRC is the next length up.
 
I've just searched through over 20 pages of search results and ended up on this thread.

What's the average clearance of rear chainstays for a triple crank please?
 
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