Jami
A mast from two tubes
If you are now going for the AR=2.15 sail, then the total mast length should be 9.4m. That could be made from a 6m long 130/5mm lower section plus a 3.9m top section (3.4m + 0.5m bury). As basis for my calculations I have estimated a max righting moment of 681kpm. All bending strengths below are yield strengths, not ultimate breaking strength, which are much higher.
The lower section:
That 130 x 5mm tube should have a yield strength, Mb= 1505kpm, if the alloy is of 6082-T6 standard. Weight= 32kg.
The 150 x 3mm tube should have an Mb=1313kpm if 6082-T6 alloy is used. Weight about 23kg.
Although the thin-walled 1500mm tube looks tempting because of its light weight, the wall thickness makes me a little worried that it can be dented and thus buckle in use. Handled with care, it should still be OK. I would then add a thick half-metre long grp wrapping at the partners.
If only 6060-T6 alloy is available, then I would go for the 130 x 5mm tube at Mb=903kpm. This is only 130% of the estimated ultimate righting moment, but I would still try it, if the boat were mine. I would go sailing with it, at if it looked ok, I would carry on. If it looked to bend alarmingly near deck level, I would beef it up with a 2-3m inner tube. Remember, the Brits have for decades been using very thin masts from Needlespar, and these masts seem to have held for at least 20 years before coming down. A mast section of 13 x 5mm is generous compared to these masts.
The upper section:
At the joint, the bending moment will have been reduced to 40% or less of the moment at the partners. If you use 3.9m (3.4 + 0.5) of your old 100 x 4mm mast for top mast (Mb=710kpm with 6082-T6 alloy), the joint should not be a weak point. The top mast should be 12.7kg.
All in all the mast should end up at 45kg or 36kg. That is 2.8 or 2.3% of the boat’s displacement - very good numbers.
Cheers, Arne