VUYK ENGINEERING ROTTERDAM Naval architects, Marine Engineers, Consultants To: Dockwise Origin: RBB Chkd: KvdB CALCULATION NOTE Distr: Dockwise Date: Project: Stability booklet yacht carrier Ref.no.: 62551/kvdb/06.025 Subject: Freeboard calculation Rev C1 Introduction This calculation note describes the calculation of the B-60 and B-100 freeboards of the Yacht Carrier. The freeboard calculation is according to the International Convention on Load Lines (1996). The freeboard calculation and the calculation of the hydrostatic particulars are performed with the computer program GHS by Creative Systems. The main dimensions are according to drawing: general arrangement yacht carrier. Ref no. R0401 rev 12 Damage stability calculations will prove whether the B-60 and/or the B100 freeboard may be applied. Main particulars Length waterline at 85% Depth 197.559m Length over all: 209.030m Breadth (mld): 32.200m Depth (mld): 8.500m Design draught: 5.800m Thickness of main deck plating 0.020m Water tight openings The watertight openings are not assumed to be governing for the determination of the freeboard. Freeboard summary The following table presents the summary of the freeboards of the yacht carrier. The calculation of the freeboard is attached to this note. B-60 B-100 Freeboard Draft Freeboard Draft Summer 2846 5702 2597 5951 Tropical 2727 5821 2473 6076 Winter 2965 5583 2721 5827 Winter North Atlantic 2965 5583 2721 5827 Fresh Water summer 2741 5807 27 6062 Fresh Water Winter 2863 5686 2613 5935 N:\Projects\2006\06025 Stability booklet Yacht carrier\reports\calc note freeboard rev C1.doc 1
Freeboard calculation Yacht carrier This sheet calculates the B-60 and B-100 freeboards of the Dockwise Yacht Carrier according to the International Convention on Load Lines (LL 1966). The vessel dimensions are according to general arrangement: RD0401 The hydrostatic properties are determined with the GHS model of the YC made by Dockwise. Main particulars Al Yacht Carrier Length waterline at 85%D L wl := 197.559 96% of water line length L wl96 := 0.96 L wl L wl96 = 189.657 LPP L pp := 192.559 Load line length := L pp Breadth B 32.2 Depth D := 8.5 Thickness of deck plating t deck := 0.0 m Load line draught d 1 := 0.85 D d 1 = 7.225 Volume at load line draught (calculated with GHS) 32825.176 V := V = 32025 1.025 V Block coefficient C b := C b = 0.715 B d 1 Annex I - Chapter III - Freeboard Reg. 27 Types of ships B - Type ship 9. B-60 freeboard reduction Pending damage stability calculations 10. B-100 freeboard reduction Pending damage stability calculations Reg. 28 Freeboard tables = 192.559 Table 28.1 A-type ships Page 1 of 6
Reg. 31 Correction for depth 15 = 12.837 D = 8.5 D < L/15 => No correction Reg. 32 Correction for position of deck line Reg. 32-1 Correction for recess in freeboard deck Reg. 33 Superstructure height = 192.559 H superstr := 2.3 Reg. 34 Length of supperstructure S sup := 32.5 Reg. 35 Effective length of superstructures S 1 := S sup Reg. 36 trunks L1 := 192 FB1 := 2530 L2 := 193 FB2 := 2541 L1 FB A := FB1 + ( FB2 FB1) FB A = 2536 L2 L1 Table 28.2 B-type ships L1 := 192 FB1 := 3134 L2 := 193 FB2 := 3151 L1 FB B := FB1 + ( FB2 FB1) FB B = 3144 L2 L1 Reg. 29 Correction for L<100 Reg. 30 Correction for block coefficient C b + 0.68 Cor Cb := Cor Cb = 1.026 1.36 Page 2 of 6
Reg. 37 Deduction for superstructures and trunks S 1 L relative := L relative = 0.169 1. FB sup100% := 1070 3. L1 := 0.1 L2 := 0.2 FB sup% FB1% L relative L1 := + ( FB2% FB1% ) L2 L1 FB sup := FB sup100% FB sup% FB1% := 7% FB2% := 14% FB sup% = 12 % FB sup = 127 Reg. 38 Sheer 8. standard sheer profile FB Sheer := Length ll= 192.559 Station Ordiante Factor Actual Product After half Aft perp 1855 1 0 1855 1/6L form A.P 823 3 0 2470 1/3L form A.P 208 3 0 623 Amidships 0 1 0 0 Foreward Amidships 0 1 0 0 half 1/3L form F.P 415 3 0 1246 1/6L form F.P 1647 3 0 4941 WFD perp. 3709 1 0 3709 Total aft 619 Total fwd 1237.1 Mean 928 FB Sheer = 927.8 12. sheer correction superstructure height y := ( 15.5 H superstr )1000 y = 13200 L' := S 1 s := yl' 3L ll s = 743.726 14. Correction for variations from standard sheer profile Cor sheer := 0.75 15. Addition for deficiency in sheer S 1 2L ll ( ) Cor sheer FB Sheer := FB Sheer s Cor sheer = 0.665 FB Sheer = 122 Page 3 of 6
16. Deduction for excess sheer Reg. 39 Bow height: Water plane area (Calculated with GHS) WPA := 5718 WPA C w := C w = 0.922 B C wa := 1 WPA a := 2 B C wa WPA a = 3100 WPA f := WPA WPA a WPA f = 2618 WPA f C wf := 2 B F b 6075 := 100 F b = 5050 2 1875 + 200 100 100 3 C wf = 0.844 2.08 + 0.609 C b 1.603 C wf 0.0129 d 1 Reg. 40 Minimum freeboards B-60 reduction B-100 reduction ( ) FB B60 := 0.6 FB B FB A ( ) FB B100 := 1 FB B FB A FB B60 = 364.412 FB B100 = 607.354 1. Summer freeboard ( ) Cor Cb FB B60_summer := FB B FB B60 FB sup + FB Sheer FB B60_summer = 2846 Draft B60_summer := D + t deck FB B60_summer Draft B60_summer = 5702 ( ) Cor Cb FB B100_summer := FB B FB B100 FB sup + FB Sheer FB B100_summer = 2597 Draft B100_summer := D + t deck FB B100_summer Draft B100_summer = 5951 Page 4 of 6
3. tropical freeboard Draft B60_summer FB tropicalb60 := FB B60_summer FB tropicalb60 = 2727 Draft B100_summer FB tropicalb100 := FB B100_summer FB tropicalb100 = 2473 5. winter freeboard Draft B60_summer FB winterb60 := FB B60_summer + FB winterb60 = 2965 Draft B60_winter := D + t deck FB winterb60 Draft B60_winter = 5583 Draft B100_summer FB winterb100 := FB B100_summer + FB winterb100 = 2721 Draft B100_winter := D + t deck FB winterb100 Draft B100_winter = 5827 6. winter North Atlantic freeboard FB winterb60na := FB winterb60 FB winterb60na = 2965 FB winterb100na := FB winterb100 FB winterb100na = 2721 7. Fresh water freeboards Displacement at B-60 summer draught: Draft B60_summer = 5702 B60_summer := 23928 Immersion T/cm T B60_summer := 57.05 B-60 Freshwater freeboard B60_summer FB FW_B60_summer := FB B60_summer 10FB FW_B60_summer = 2741 40T B60_summer Displacement at B-100 summer draught: Draft B100_summer = 5951 B100_summer := 25359 Immersion T/cm T B100_summer := 57.44 B-100 Freshwater freeboard B100_summer FB FW_B100_summer := FB B100_summer FB 10 FW_B100_summer = 27 40T B100_summer Page 5 of 6
Displacement at B-60 winter draught: Draft B60_winter = 5583 B60_winter := 23250 Immersion T/cm T B60_winter := 56.81 B-60 Freshwater freeboard B60_winter FB FW_B60_winter := FB winterb60 10 FB FW_B60_winter = 2863 40T B60_winter Displacement at B-100 summer draught: Draft B100_winter = 5827 B100_winter := 24642 Immersion T/cm T B100_winter := 57.25 B-100 Freshwater freeboard B100_winter FB FW_B100_winter := FB winterb100 10 FB FW_B100_winter = 2613 40T B100_winter Page 6 of 6