Billpjr:
Thanks for providing a simple formula for determining wind load.
The loads you calculate, for a 32'' boat, are much smaller than I would (by a factor of at least 2).
Doing the math’ for a 34.7 knot wind:
34.7 x 34.7 x 0.00256 = 3.08247
5.9 / 3.08 = 1.9
Hence Billpjr has used a combined “constant factor” of about 1.9.
How was this derived?
Billpjr also assumes an equivalent flat plate area (EPA) of between 50 to 75 square feet (for our 32'' example).
How was this derived?
A common engineering calculation for determining wind pressure on structures:
Wind Pressure in Pounds = 0.00256 x (V x V) x Kz x GRF x Cd x EPA
Where:
0.00256 = the mass density of air at 0̊C and normal air pressure.
V = the three-second-gust wind speed (velocity) at a height of 33 Feet.
Kz = the Velocity Pressure Exposure Coefficient. For structures, Kz varies from 0.92 to 1.40 depending upon structure overall height. For wire, Kz varies from 1.0 to 1.50 depending upon the height of the wire above ground.
GRF = the Gust Response Factor. For structures, GRF varies from 1.02 to 0.83 depending upon overall structure height. For wire, GRF varies from 0.63 to 0.93 depending upon span length and wire height above ground.
Cd = the Shape Factor, generally 1.0 for cylindrical elements like wire and round utility poles, or 1.7 for flat surfaces. Most standing structures including cars have a Cd of 2.0.
See: Shape Effects on Drag http://www.grc.nasa.gov/WWW/K-12/airplane/shaped.html
EPA = the Effective Projected Area (cross-sectional area) of the structure being evaluated.
Not considered above is the Material Surface Resistance Factor.
The ABYC standards are undoubtably very conservative, but given the difficulties in determining accurate loading data, and the importance of providing sufficient capabilities - I’m willing to accept the figures as the best available, until a better method is revealed.
How much can your
cleats hold?
The ABYC tables are actually designed to designate the loading characteristics of deck hardware. So if built to ABYC standards, your
cleats should hold:
30'' SailBoat @ 9'' beam at least 2100#
35'' SailBoat @ 10'' Beam at least2700#.
FWIW,
Gord