Page 168 - The Complete Rigger’s Apprentice
P. 168

End Fixity   But there are other ways to increase  to the mast wall. With a round or oval mast this neu-
             stiffness without adding mass. Try another noodle  tral axis, around which all the forces are balanced, is
             demo to demonstrate one of them: Take two long  in the center of the mast. It can take careful calcula-
             pieces of spaghetti. Break a couple of inches off  tion to find this axis with exotic mast cross-sections,
             one. Press down on this shorter one and notice how  but the square-of-the-radius formula holds.
             much pressure it takes to bend it. Notice also that   This brings up the reason why most masts are
             it bends in the middle. Now take the longer piece  oval instead of round: Because shrouds attach at
             and pinch it a couple of inches from the bottom.  more points than stays, masts are generally sup-
             Press. Even though the unsupported length above  ported better laterally than they are fore-and-aft.
             the pinch point is the same as the short piece, this  You tend to get short, buckle-resistant lengths on
             piece is stiffer. And instead of bending in the mid-  the sides, and long, buckle-prone lengths on the
             dle of its unsupported length, it bends closer to the  front and back. Even on masts with multiple head-
             upper hand, where spreaders would be on a mast.  stays and running backs, induced mast bend can put
                What you’ve just seen is a demonstration of the  huge, let’s-see-if-we-can-fold-this-thing loads on a
             effects of “End Fixity.” The short piece is said to  stick. Therefore masts need to be stiffer fore-and-aft
             have two “pin ends,” while the long piece has “one  than they are laterally. The simplest way to accom-
             pin end and one fixed end.” A boat’s partners do the  plish this is to make a mast with the most heavily
             pinching, so a keel-stepped mast will be stiffer than  stressed sides farthest from the neutral axis. This
             a deck-stepped mast of the same exposed length. A  makes the mast stiffer in one plane than the other.
             very stout tabernacle can add some degree of end  A rectangular cross-section works well, but the mass
             fixity, but if you’re interested in a light mast, keel-  in the corners is pretty much wasted, adding mostly
             stepped is the only way to go.              lateral stiffness. An oval offers less wind-resistance
                Why, then, are so many masts deck-stepped? A  and less weight, so that is the most common mast
             classic reason is that they’re easier to put up and  shape. The main exception to this these days is the
             down for traversing canals, passing under bridges,  unstayed mast; it needs to be round, because there
             or trailering. The convenience compensates for  are no shrouds to stiffen it laterally. For more on
             added weight. (See the discussion on Sojourner  comparisons between stayed and unstayed masts,
             Truth on page 303.)                         see the Mast Bend sidebar in Chapter 8.
                But economics are also an issue, since it’s cheaper
             to step a mast on deck than to cut a hole in the deck,  Wall Thickness
             and the sole, and install a mast step, mast collar, etc.  Mast stiffness also varies directly with the thickness
                And even the arrangement of the interior can  of the mast walls. No free ride here; if you want to
             be an issue. I once knew some owners who hired  stiffen by thickening, you pay a price in weight.
             an interior designer to redo their boat. The designer  Some boats have masts that are “sleeved” with dou-
             came below, took one look at the base of the mast  ble wall sections over heavily stressed areas. This
             that occupied a large portion of the saloon, and said,  saves making the entire mast thicker-walled. But
             “First of all, that has to go.” And go it did, to make  more often, thick walls are resorted to when other
             possible an arrangement of staterooms, sofas, and an  stiffening methods have drawbacks.
             entertainment center. For details of the consequences   For instance, racing sailors will usually select a
             of this simple act, see the description on page 169  very narrow mast for low wind resistance. They’ll
                                                         compensate for the loss of square-of-radius stiff-
             Radius                                      ness by making the mast very thick and by short-
             There’s one other “weightless” means to mast stiff-  ening the unsupported lengths with three, four, or
             ness: making the mast fatter. Stiffness varies with the  even five sets of spreaders. And they’ll accept a low
             square of the distance from the neutral axis of a mast  safety factor.

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