Hi Arne,
Great to hear from you. Wish you health.
Yes, Port Klang is a coastal port city next to Kuala Lumpur, the main harbor of Malaysia, 2nd to Singapore in South East Asia, 12th world ranking. Enough sheltered water for a whole day sailing and some.
Attached is the sail plan of yours showing the best mast position which is through the hatch.
Following is my interpretation of your mast scanting calculation for straight aluminum mast.
Displacement of the boat is 840kg, hence 3% is 840*.03=25.2kg.
Righting moment = Mr = Displacement, kg x 9.81 × LrB, m
Where Lr =20% of beam, Boats with ‘normal’ ballast keel of 30 to 40% of the displacement: Choose any between 19 and 21% of the beam.
Mr = 840kg x 9.81 x .2 x 2.42m = 3988Nm #
For coastal cruising and no wild racing, breaking moment at the strength of the mast at the partners
Mb≥ 2.0 × Mr ≥ 7976Nm #
For serious offshore cruising or for racing, I recommend to be beefed up to ≥ 2.5 & 3.0 the breaking moment of the mast at the partners should be between 9970-11964Nm #
Determine the yield moment of 6061-T6, Dia.127mm x 3.175mm
#6061-T6, Dia.127mm x 3.175mm extruded pipe is the size I might possibly source from my friendly local hardware store.
where, Yield stress of 6061 = 240N/mm2
Mb yield= 240N/mm
2 π/32 (127
4−120.65
4)/127
=8952649Nmm=
8953Nm#≥ 2.0 × Mr≥
7976Nm (2.24xM
r to be exact)
6061 Aluminum Density = 2.7g/cm³
Dia.127mm x 3.175mm thk weights 3.33kg/m
Max Mast Length
@2.5% Displacement.=21kg/(3.33kg/m) = 6.31m
@3% Displacement. = 25.2kg/(3.33kg/m) = 7.57m
@3.5% Displacement.=29.4kg/(3.33kg/m) = 8.83m
Hence the mast height in your design 7.82m is right about in the safe ballpark with 6061-T6 OD127mmx3.175thk A.K.A. OD5"x
1/
8" thk
Note# 6061-T6 OD100mm x 4 thk @3.28kg/m, is negligibly close to 3.33kg/m
Step-taper mast with Dia. 88.9mm 3.175mm thk straight top section with breaking moment of 4246Nm will allow upto 8.26m total mast height. within 3% of displacement.
This is where I start asking what is the safe sail area.