I have just signed on to the trawler list and have read with great interest
the discussions held approximately 9 months ago on anchoring. I seem to be
studying the same questions only from a different perspective. On the West
coast we rarely get hurricane force winds or bottoms material as weak as those
you have experienced. My concern hasnt been so much about holding the boat
in the worst possible bottom under hurricane winds, but balancing the normal
winds and bottom conditions.
For example major boat supply houses recommend for my boat a 45 pound anchor.
However, I have found that I can anchor my 44 ft. Cutter successfully well
over 80 percent of the time on a 12 lb. anchor. Now to those guys who step on
buttons to get their anchors up thats no problem, but for the few who still
use muscle, jerking up twelve pounds compared with 45 makes a big difference.
Some of the results of this work might be of interest. Let us begin by
talking about Org, (also, Bamford, West, Marchaj, and Van Dorn who also
tackled this subject) and Gerr. Knowledgeable fellows, but just how accurate
are there equations in the real world, and in turn the numbers given in the
tables found in anchoring 201 and other places.
First of all as you know, the equations of Org et al are based on the classic
drag equation. As such, they calculate essentially a static load which does
not take into account wave and surge loads. Dynamic loads are truly difficult
to calculate accurately, and can get extremely high especially for boats with
all chain rode. But that is another subject and we will confine this
discussion to static wind, and engine loads.
Lets start with classic drag equation. The problem stems from the two
innocuous coefficients use in this equation, and referred to in anchor 201 as
drag coefficient (Cd) and the area (S). Both of these numbers are not easy to
get with any accuracy. Where as Org suggest Cd between 0.7 and 1.0
considerable artistic licenses was used to make that recommendation. I have
found values in the literature for Cd anywhere from 0.06 to 1.9.
Further, calculating the exact area exposed to the wind on a recreational
boats is a daunting task (lifelines, dingys, brother-in-law fishing on the
bow). However, the accuracy of the load is directly dependent on the accuracy
of this area. I am not sure how area of the boat is calculated in Anchor 201.
For example, do sailboats calculate the area of the rigging?
On the other hand it is not to difficult to measure these values in the field.
This I and others (most notable Robert Smith) have done. If we compare these
measurements with the various equations and tables we find the AYBC (put
together by Org) overstates the loads on the anchor lines by greater than
550%. The accuracy of Org, Bamford et al, has a lot to do with how the area
is calculated. For example the calculations given in Bamfords book, over
estimate the load on the anchor by about 400%. Better, but still not good
because it means if you calculate a wind load of 1000 pounds on your boat you
will really only experience 250 pounds during the storm. In order for me to
estimate the accuracy of the tables in 201, I need to know how the area in the
tables is calculated so I can make similar calculation on my test boats. Of
course it is possible for anyone to get a rough idea by comparing the their
load results to AYBC, if their results are similar the error is similar.
As for Gerr equations, and the tables in 201, comparing these data with ours,
is a little more difficult. Most of our tests were run using a feathering
prop which has better efficiency in reverse than a fixed prop. Depending on
the assumptions, my tests show this equation over estimates the engine load on
the rode somewhere between 105 to 150 percent. In this case good is bad. If
the engine load is used to calculate a equivalent wind velocity, the errors
offset. The closer the Gerr equation is to actual, the worse the combined
effect of both errors. Combining the two errors it means that the wind
velocity is over by about 65 to 95%. So if you are trying to find an anchor
that will hold in 70 knots of wind, you could in fact be actually be searching
for one that will hold in 115 to 135 knots of wind.
By the way all of this assumes no dynamic (wave) loads, and no current load.
A 3 knot current can put considerable loads on an anchor line (on my boat the
load is equivalent to 30 knots of wind) did I miss the discussion of current
loads? In defense of the AYBC tables, they are overstated to take into
account such things as dynamic and current loads, and poor anchoring
technique.
Don Dodds