Hi Arne,
it has been some busy weeks, but things do progress. However, I am getting the feeling that availability of mast material is one of the main bottlenecks of my (or any?) junk conversion project.
I did the maths: Ilvy (Maxi 77) and Ingeborg should have quite the same righting arms (1050 kpm to 1032 kpm).This, although Ilvy's ballast ratio is at 40% and Ingeborg's at 58%. Sure, it is due to Ilvy being quite wide (you can see this clearly in practice: directly comparing a BM IF with a BM Maxi77, e.g. during a yardstick regatta, it can be observed that the IF is heeling quite a lot more).
Now for the mast, I can only get 6063T6 aluminium, for 12 m conical poles as well as cylindrical 6 m pieces...Unfortunately, the yield strength of 6063T6 is only 170 MPa compared to 6082T6 with 250 MPa (thus, 6082T6 is about 50% stronger than 6063T6).
However, lucky me, I thought, as I am offered two conical masts:
- 222 mm/ 5 mm tapered to 90 mm/ 7,5 mm, with the lowest 5 m being cylindrical
- 177 mm/ 4 mm tapered to 76 mm/ 4 mm, with the lowest 4 m being cylindrical
It is quite advantageous that both profiles are cylindrical at about their lowest third: this ensures that the diameter stays at max at the partners.
From a geometric view, the 177/4 profile would be even stronger than the 150/5 profile you suggested: Its section modulus is about 15% higher. Unfortunately, the strongly differing material properties crash it: The 177/4@6063T6 is 22% weaker than your suggested 150/5@6082T6.
The 222 mm would weigh 72 kg at the length I aim at. The 177 mm one would weigh 55 kg.
When I calculate the ratio of M_b,yield/M_r,max, the following (rounded) figures appear:
- 222ish mast: Mb/Mr = 2,6
- 177ish mast: Mb/Mr = 1,5
Now, given only these two options, if I want to stick to the guidelines from your chapter 6b, the decision appears to be pretty clear, doesn't it?
However, a 222 mm Alu mast appears really oversized to me, considering a 25 ft yacht. But this is merely a gut feeling, according to the numbers it would fit just fine. Any thoughts on this?
To worsen the decision making, there is Atropos, a junk rigged Alu schoner located in Kiel. She wears 35 m² on her main, with exactly this 177 mm mast I described above. Given her weight, scantlings, ballast ratio and so on, I calculate her mast to Mb/Mr = 0,8 (I roughly divided Mr by her sail area ratio of main mast and fock mast). That is quite a low figure, and I know that she sails happily now for almost 20 years, and is not afraid to hit bad weather.
Compared to Atropos the 177 mast on Ilvy appears conservative to me, but compared to your guidelines it appears way too optimistic. If you could share some thoughts and experiences - or anybody else - I would be very grateful!
Cheers,
Paul
Sidenote: I only found two companies in Germany selling 12 m long Aluminium profiles. They offered exactly the same masts to me, both 177 and 222, both manufactured by Nedal. However, the price difference is substantial. After I contacted Nedal directly, they linked me to one of those two - Alfa - the one with a really good price. Thanks to Nedal for their service, and thanks to Alfa for the effort of sending me technical drawings, double-checking alloys for me and just being very helpful.