Roger
Under the thread ‘New sail plans for Shoestring’ I suggested a way to guess the righting moment of a boat when the righting arm is not known, only displacement, beam, ballast and vertical placement of ballast. On Shoestring I came up with the righting moment, Mr around 3000kpm +/-20% - that is 2400 - 3600kpm. A suggested CF-mast for offshore use then ended between 6500 and 9000kpm breaking strength.
The uncertainty of the righting moment, Mr makes the resulting need for mast strength uncertain as well.
My rather simple method only involves calculations of breaking (or yield) strength, not about bending (deflection) resistance (stiffness). My experience (and from reading about others’ boats) makes me think that if I make the mast 2-3 times stronger than the boat’s righting moment, and use a diameter (of aluminium masts) about 65-75% of that of a wooden equivalent, it will be stiff enough.
Serious calculation of a tube’s stiffness involves the calculation of its moment of inertia plus the material's modulus of elasticity. I can do that (although I am only an electronic engineer), but with both the hull’s righting moment at max sailing heel, and also our tolerance for mast deflection, being uncertain, I find it easier to use the rule of thumb, above to decide the combination of diameter and wall thickness .
Conclusion:
I would not try to teach the professional sparmakers their job, and certainly not when it comes to CF-masts, but I suggest you inform them about this: The boat will at working heel, have a lot lower righting moment than the max one, maybe only half. The stiffness of the mast should be calculated at this stress, not with the max shock-load with a safety factor in mind. Trust me, when you run onto a rock at full speed, you will not look up to study the mast top, but rather make a natural nod forward. On this, I am an expert!
Cheers, Arne