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Conference unifix::sailing

Title:SAILING
Notice:Please read Note 2.* before participating in this conference
Moderator:UNIFIX::BERENS
Created:Wed Jul 01 1992
Last Modified:Mon Jun 02 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2299
Total number of notes:20724

2085.0. "motion-comfort ratio" by MASTR::BERENS (Alan Berens) Wed Sep 22 1993 13:49

[I thought that this was in SAILING somewhere, but I can't find it .... ]

Ted Brewer has proposed a formula for estimating how comfortable the 
motion of a boat is. The number given by the formula is probably most 
useful in comparing different boats.

                             D
	ratio = ------------------------------
                0.65*(0.7*LWL+0.3*LOA)*B**1.33

	where D is the displacement
	      B the beam
	      LWL the length on the waterline
	      LOA the overall length

The larger the ratio, the better.

It is interesting to note that both light displacement and large beam 
strongly reduce comfort. This is understandable. Lighter weight means 
higher acceleration for a given applied force (say a wave hitting the 
boat). And large beam tends to imply a larger and perhaps flatter bottom 
surface so that the boat will tend to pound more in a seaway than a 
narrower boat.

The ratio for our first boat was about 17, and we used to get seasick 
frequently. The sea conditions must be considerably rougher before we 
get seasick on our Valiant 32 (ratio about 30). It is interesting to 
note that this formula predicts that the Valiant 40 (length-displacement 
ratio about 256) and the Deerfoot 61 (length-displacement ratio about 
113, which is ULDB range) will be about equally comfortable (ratio about
34) and somewhat more comfortable than our Valiant 32. The ratio for an
older design, a very good wood offshore boat (a custom Riemers 48 that
I've much admired and whose length-displacement ratio is 450 or so), is
about 50. 

Offered for whatever value you find in it.

Alan
T.RTitleUserPersonal
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2085.1LOA or LOD??USCTR1::FLEISCHMANNFri Sep 24 1993 12:375
    Alan,  not sure what factors are being accounted for by LOA....if there
    is a significant bowsprit, would LOD be more proper??
    
    Tom
    
2085.2yes, use LODMASTR::BERENSAlan BerensFri Sep 24 1993 13:087
re .1:

Yes, certainly, I would assume that LOD (length on deck) would be 
correct. LOD = LOA for those boats without bowsprits, boomkins, 
windvanes, and other fore and/or aft appendages.


2085.3Can you clarify the formula a little?NEWOA::NEALEWho can, do - who can't, consultWed Oct 06 1993 09:4216
    Alan,
    
    Can you clarify the formula a little more, e.g. with the use of
    plentiful brackets?
    
    In particular, I cannot understand the point of the "0.65" factor, as
    this just affects the overall value of an arbitrary figure, unless the
    whole of the bottom line should be (....)**1.33. Always did have
    problems with conventions about "operator precedence"!
    
    I find it an interesting calculation in any case, and I have been using
    it to compare several boats in which I am currently interested. In
    other words, I think it's a great idea, as long as it agrees with my
    own personal prejudices!
    
    - Brian
2085.4this help?MASTR::BERENSAlan BerensWed Oct 06 1993 10:2915
                                  D
	ratio = ------------------------------------------
                0.65 * ((0.7*LWL) + (0.3*LOA)) * (B**1.33)

	where D is the displacement
	      B the beam
	      LWL the length on the waterline
	      LOD the length on deck

The larger the ratio, the better.

I would assume that the factor 0.65 in the denominator is a (possibly
arbitrary) scaling factor. The multiplications in the denominator can be 
done in any order.
2085.5STARCH::HAGERMANFlames to /dev/nullWed Oct 06 1993 14:454
    Did you see that thing in the paper a couple of days ago where a big
    ship (the QE II?) did a very large roll and 50 people or something got
    hurt, including Rolf Harris, famous Australian singer...
    
2085.6Heavy RollingSALEM::GILMANWed Oct 06 1993 16:4915
    Determining the 'proper' amount of stability into a ships design is a
    tough call.  Too much stability and the ship will likely never roll
    over but will be a snappy fast roller which tends to throw people and
    equipment aorund.  Passengers don't like being seasick or being thrown
    around.  On the other hand.... design an 'easy rider' and you have
    reduced the vessels stability, she will roll nice and slowly and easily
    UNLESS she rolls right on over, and passengers don't like THAT either.
    Smile. U.S. liners tend to have higher metacentric heights because U.S.
    design standards are stricter regarding stabilty safety margins.
    European designs (which I assume the QE II is) tend to be less stable
    and easier riders than U.S. ships.  BUT, get synchronous rolling started
    or that occasional rogue wave and we read about it in the papers.  I
    would take the U.S. ship anyday.
    
    Jeff
2085.7Thanks for clarificationESPO01::NEALEWho can, do - who can't, consultThu Oct 07 1993 11:0710
Re: .4

Thanks, Alan.  Still don't understand the 0.65 (arbitrary scaling factor in what
is anyway an arbitrary formula?) but so what!

Re: .5,.6

Anyone have the raw data to do the sums for the QE2 :-)?

- Brian
2085.8RollingSALEM::GILMANThu Oct 07 1993 14:5122
    Wish I did have the raw data for the QE2.  When was the last time you
    heard of a passenger liner capsizing due to rough seas vs. due to 
    excess flooding?
    
    Liners do tend to be top heavy though compared to many other ships such
    as tankers for cargo ships.
    
    Quite a number of liners have rolled due to fire fighting efforts and 
    flooding.  The Normandie for one.
    
    When in the Navy on the carrier Franklin D. Roosevelt we were operating
    light because of a pending dry docking which made us top heavy.  We got
    rolling once in phase with the prevaling seas and I though we were
    going to go right on over. Equipment was falling and sliding the length
    of the ship (beam) as we rolled in seemingly ever increasing rolls,
    until finally we broke out of phase and the rolling eased... but it was
    SCARY.
    
    I can imagine what it must have been like on the QE2 with a bunch of
    'soft' passengers.
    
    Jeff
2085.9STARCH::HAGERMANFlames to /dev/nullThu Oct 07 1993 15:213
    This formula doesn't take into consideration how high the center of
    gravity is. A deep keel boat and a centerboard boat of the same
    dimensions would not have the same motion characteristics.
2085.10Some DataMEMIT::HOFri Oct 08 1993 19:4796
Here are calculations for some familiar craft: 
 
QE2
displ     140,000,000.0  pounds        RATIO      165.9
lwl               950.0  feet
loa             1,100.0  feet
beam              220.0  feet
 
LASER
displ             120.0  pounds        RATIO        1.8
lwl                13.5  feet
loa                14.5  feet
beam                4.5  feet
 
C&C 34
displ          10,500.0  pounds        RATIO       23.8
lwl                28.0  feet
loa                34.0  feet
beam               10.5  feet

SANTA CRUZ 70
displ          26,000.0  pounds        RATIO       23.3
lwl                60.0  feet
loa                70.0  feet
beam               12.0  feet

J24
displ           3,000.0  pounds        RATIO       12.2
lwl                21.0  feet
loa                24.0  feet
beam                8.5  feet
 
ETCHELLS
displ           3,400.0  pounds        RATIO       17.7
lwl                22.0  feet
loa                30.5  feet
beam                6.5  feet
 
TOYOTA COROLLA
displ           2,500.0  pounds        RATIO       19.9
lwl                16.0  feet
loa                16.0  feet
beam                6.5  feet

HINCKLEY B40
displ          20,000.0  pounds        RATIO       40.1
lwl                28.0  feet
loa                40.0  feet
beam               11.0  feet

SHIELDS
displ           7,500.0  pounds        RATIO       41.6
lwl                20.0  feet
loa                30.0  feet
beam                6.5  feet
 
12 METER
displ          70,000.0  pounds        RATIO       65.2
lwl                50.0  feet
loa                65.0  feet
beam               13.0  feet
    
MACK TRACTOR TRAILER TRUCK
displ          45,000.0  pounds        RATIO       62.2
lwl                70.0  feet
loa                70.0  feet
beam                8.0  feet
 
    From the above we can draw the following scientific conclusions:
    
    1.  The QE2 is more comfortable than a Laser.
    
    2.  A Santa Cruz 70 and a C&C 34 will get you equally sick but 
    you'll get over it faster in the SC70.
    
    3.  A Toyota Corolla is more comfortable than an Etchells and both are
    better than a J24.
    
    4.  You can be as comfortable sailing to Bermuda in a Shields as in a 
    Hinckley.
        
    5.  A 12 meter and a Mack Truck are equally good sailors.
    

    A rigorous analysis of the variables in the formula reveals that more
    displacement is good and more lwl, loa, and beam are bad.  
   
    Displacement is what causes a boat to sink.  

    LWL, LOA, and beam are what cause a boat to float.  

    Therefore, the most comfortable boat is the one most likely to sink.  

        
    
2085.11Never call starboard on a Mack from a ToyotaMILKWY::WAGNERScottMon Oct 11 1993 12:1514
    
    	I sunk my rowboat, which displaces less than my Zodiac...
    
    	Great analyses Gene! Now what tank did you get the DWL of the Mack
    	truck? 
    
    	I was never more sick than on an old Bristol 40. The waves were
    	just right for hobbyhorsing and yanking any flow away from the
    	sails.
    
    	I think, like comparing IMS and PHRF rules, the more data, properly
    	applied, the better.
    
    	Scott_who_gets_blinded_with_Science