Trans RINA, Vol 152, Part B2, Intl J Small Craft Tech, 2010 Jul-Dec
X(1): Function of length overall (LOA) that depends on cabins (CABIN)
LOA=X(1)*2.50+5.50 (CABIN=1) LOA=X(1)*5.00+9.85 (CABIN=2) LOA=X(1)*5.3+13.00 (CABIN=3)
X(2): Function of length overall to length on waterline (LWL) LWL=LOA/(X(2)*0.10+1.05) X(3): Function of LWL to maximum breadth (BMAX) X(4): Function of waterline beam (BWL) to BMAX X(5): Function of BWL to canoe body draught (TC) X(6): Function of LWL to maximum draught (TMAX)
X(7): Function of longitudinal position of centre of buoyancy (LCB); - ve aft and + ve forward of LWL/2.0 X(8): Function of prismatic coefficient (CP)
X(9): Function of water plane area coefficient (CWP) X(10): Function of LOA to hoist of main sail (HOISTM)
X(13): Function of (HOISTM +CLEAR) to HOISTG
CP=X(8)*0.13+0.48 CWP=X(9)*0.10+0.65
X(11): Function of HOISTM to base of mail sail (FOOTM) FOOTM=HOISTM/(X(11)*1.06+2.00) X(12): Function of CLEAR
HOISTM=LOA/(X(10)*0.20+SLM) CLEAR=X(12)*1.0+1.0
X(14): Function of HOISTG to Base of Fore Triangle (BASEF) BASEF=HOISTG/(X(14)*1.00+2.50) X(15): Function of overlap of fore sail (OVRLAP) X(16): Function of root chord of keel (CHRK) X(17): Function of tip chord of keel (CHTK)
CHRK=X(16)*5.5+1.0 CHTK=X(17)*3.3+1.0
X(18): Function of thickness-chord ratio of keel sec. (ATCRK) ATCRK=X(18)*0.12+0.08 X(19): Function of root chord of rudder (CHRR) X(20): Function of tip chord of rudder (CHTR)
CHRR=X(19)*1.00+0.50 CHTR=X(20)*0.50+0.25
X(21): Function of sweep angle of
qr.ch. of keel (SWANKD) SWANKD=X(21)*30.0+0.0 X(22): Function of sweep angle of
qr.ch. of rudder (SWANRD) SWANRD=X(22)*30.0+0.0 X(23): Function of vertical span of rudder (VSPANR) X(24): Function of rudder angle (RANGLD)
X(25): Function of half trailing edge angle of av. keel section (HTANKD)
X(26): Function of half trailing edge angle of av. rudder section (HTANRD)
X(27): Function of LWL/total volume (VOLTL)**0.333
VSPANR=X(23)*4.0+5.0 RANGLD=X(24)*6.0+0.0 HTANKD=X(25)*2.0+5.0
HTANRD=X(26)*2.5+5.0
VOLTL=(LWL/(X(27)*1.45+3.75))**3.00 (Cabin=1) VOLTL=(LWL/(X(27)*1.30+4.00))**3.00 (Cabin=2) VOLTL=(LWL/(X(27)*1.00+4.50))**3.00 (Cabin=3)
X(28): Function of mass of ballast (MASSBL) to total displacement (DISPTL)
DISPTL=VOLTL*1.025 MASSBL=DISPTL*(X(28)*0.24+0.24)
X(29): Function of freeboard that depends on length up to 15m FREEBD=X(29)*1.0+0.5 (Cabin=1) FREEBD=X(29)*1.0+0.5 (Cabin=2) FREEBD=X(29)*0.75+1.0 (Cabin=3)
Table 2 Definition of system variables
HOISTG=(HOISTM+CLEAR)/(X(13)*3.00+0.70) OVRLAP=X(15)*3.50+0.0
BMAX=LWL/(X(3)*2.05+1.85) BWL= BMAX*(X(4)*0.089+0.783) TC=BWL/(X(5)*2.35+3.00) TMAX=LWL/(X(6)*3.0+4.0) LCB=X(7)*-2.0-2.0
©2010: The Royal Institution of Naval Architects
B-83
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