David Tyler
J. R. A. Committee Member
- Joined
- Jan 14, 2014
- Messages
- 154
- Reaction score
- 4
- Location
- Victoria BC at the moment, but no fixed location.
David Tyler, your mast dimensions seem a lot smaller than what I am getting, do you know the RM for your boat of the safety factors you designed to when making your spar.
Or was it done to the Blondie Hasler rules of thumb based on sail area?
Maximum GZ is 1.57 ft, 30 degree GZ is 1.18 ft (Autoship), displacement is about 8 tons, so about 28,200 lb ft max, 21,150 at 30 degrees.
If I were buying a mast in the USA today, I'd have to go for either 8" dia x 1/4" wall, or 10" dia x 3/16" wall.
Here's what I wrote for JRA members:
The right way to do it is to match the righting moment of the boat to the bending strength and stiffness of the tube.
If the boat has been designed using one of the modern suites of computer software, there will be a table of hydrostatic calculations available. These will include the righting arm at 30 degrees of heel. Multiplying this by the displacement of the boat will give the righting moment at 30 degrees of heel.
If the righting arm calculation is not available, and an older, bermudan rigged boat is being converted, the righting moment can be measured. The spinnaker halyard is made fast to a load cell or large spring balance, which is made fast to a pontoon or dock. The boat is hauled down to 30 degrees of heel using the spinnaker halyard and a winch, allowing the boat to move away from the pontoon or dock so that the spinnaker halyard is vertical. The load as measured by the load cell or spring balance, multiplied by the horizontal distance to the centre of buoyancy of the boat (approximately at the waterline) is the righting moment of the boat at 30 degrees of heel.
The strength of a tube is calculated like this:
First you must calculate the Section Modulus of the tube; this is given by
Z = 0.098(D4 - d4)/D
where D is the outside diameter, d is the inside diameter.
The stress at deck level is given by:
S = Righting moment/Z
(All of the above quantities must be in a consistent system of units, either imperial or metric)
Aluminium alloy is subject to fatigue. The lower the levels of stress to which it is subjected, the longer it will last. However, it has been found by practical experience that:
if the stress S at 30 degrees of heel is kept below 10,000 lbs/in2 or 69 N/mm2
for aluminium alloy grade 6063 T5 or T6
if the stress S at 30 degrees of heel is kept below 14,000 lbs/in2 or 96.5 N/mm2
for aluminium alloy grade 6061 T5 or T6
then the tube will have a long life.