CUVX Design Report - the AOE home page - Virginia Tech

CUVX Design – VT Team 2 Page 115i17Lightship weight: W LS W iW M24i=1W LS 24393.MTProvisions: W F31 N . T 2.45.10 3 .lton. T SW F31 = 264.012 lton W LS = 2.401. 10 4 ltondayGeneral stores: W F32 0.00071. lton . T .day S N T 0.0049. lton. N T W F32 = 80.91 ltonCrew: W F10 236. lbf. N E 400. lbf. N O 1 W F10 = 99.695 ltonTotal weight:W T W LS W P W F41 W F46 W F52 W F31 W F32 W F10 W T 29671.MTERRW FL W TERR 9.201 10 3W.P= FW P FT W P = 0.084TModule 8 - StabilityCalculate light ship weight groups center of gravity and moment.VCG BH 0.4. D 10VCG BH = 11.85 mP 1 W . BH VCG BH P 1 = 4.527 . 10 5 lton.ftVCG DH D 10 .5. H DK VCG DH = 31.124 mP 2 W . DH VCG DH P 2 = 7.737. 10 3 lton.ftVCG 180 0.2. D 10VCG 180 = 5.925 mP 3 W . 180 VCG 180 P 3 = 2.963. 10 4 lton.ftVCG 171 D 10 0.05. LWL VCG 171 = 40.289 mP 4 W . 171 VCG 171 P 4 = 264.364 lton . ftPP 100 P 1 P 2 P 3 P 4 W . 100P100 VCG P100VCG 100 VCG 100 = 11.301 mW 1400500600VCG 200 .6. H MB 2m VCG 200 = 8.375 mP 200 W 2VCG 200 P 200 = 5.892 . 10 4 lton.ftVCG 300 0.35. D 10VCG 300 = 10.369 mP 300 W 3VCG 300 P 300 = 2.796 . 10 4 lton.ftVCG IC .5. D 10VCG IC = 14.812 mP 9 W IC VCG IC P 9 = 6.853 . 10 3 lton.ftVCG CO 0.45. D 10VCG CO = 13.331 mP 10 W CO VCG CO P 10 = 2.146 . 10 3 lton.ftVCG CC 0.45. D 10VCG CC = 13.331 mP 11 W CC VCG CC P 11 = 1.772 . 10 3 lton.ftP 400 P 9 P 10 P 11 W . P400 VCG P400W 4VCG 400 = 17.49 mVCGP 400VCG AUX 0.4. D 10VCG AUX = 11.85 mP 13 W AUX VCG AUX P 13 = 9.189 . 10 4 lton.ftP 500 P 13 W . P500 VCG P500W 5VCG 500 = 8.331 mVCGP 500VCG OFH 0.4.D 10VCG OFH = 11.85 mP 15 W OFH VCG OFH P 15 = 4.375 . 10 4 lton.ftVCG OFP 0.6.D 10VCG OFP = 17.775 mP 16 W OFP VCG OFP P 16 = 4.145 . 10 4 lton.ftP 600 P 15 P 16 W . P600 VCG P600W 6VCG 600 = 14.11 mVCGP 600Total light ship vertical moment is (note that variable payload is deducted):P WG P 100 P 200 P 300 P 400 P 500 P 600 W 7 VCG 700 = 7.773 . 10 5 lton.ftP WGVertical CG of light ship: VCG LS VCG LS = 35.61 ftVCD VP = 33.437 ftW LS W M24LHere we assume that the 10% weight margin's CG location is at the CG of light ship.KG LS VCG LS KG LS = 35.61 ft W LS = 210 . 4 ltonW VP = 2.304. 10 3 ltonD 10 = 97.193 ftCalculate variable loads weight group center of gravity and moment:VCG VP = 63.756 ftVCG F10 0.6. D 10VCG F10 = 58.316 ftP 17 W F10 VCG F10 P 17 = 5.814 . 10 3 lton.ftVCG F31 0.423. D AV VCG F31 = 41.751 ftP 18 W . F31 VCG F31 P 18 = 1.102. 10 4 lton.ftVCG F32 0.42. D AVVCG F32 = 41.455 ftP 19 W F32 VCG F32 P 19 = 3.354 . 10 3 lton.ftVCG F41 1m VCG F41 = 3.281 ftP 20 W F41 VCG F41 P 20 = 5.838 . 10 3 lton.ftVCG F46 2m . VCG F46 = 6.562 ftP 21 W . F46 VCG F46 P 21 = 115.486 lton.ftVCG F52 0.138. D AV VCG F52 = 13.621 ftP 22 W . F52 VCG F52 P 22 = 5.504. 10 3 lton.ftTotal loads moment: P WGL P 17 P 18 P 19 P 20 P 21 P 22 W . VP VCG VP P WGL = 1.785. 10 5 ft.ltonTotal variable loads weight: W L W F10 W F31 W F32 W F41 W F46 W F52 W VP W L = 4.95. 10 3 ltonVertical center of gravity: VCGW LVCG L = 36.069 ftP WGLW . LS KG LS W . L VCG LKGW LS W LKG MARG KG MARG = 3.281 ftKG = 11.878 mC IT 0.537 1.44. C W C IT = 0.706KB T C . P C XLWL. B 3 . C. IT3 2.4 KB = 12.627 ftBMC W12.V FLGMGM KB BM KG GM = 8.227 ftC GMBBModule 9 - Design Balance / SummaryW PW FL1W0.1FL1 = 2.457. 10 4 lton(First iteration only).W T = 2.967. 10 4 MTW FL 29944. MTV FL W .ft 3FL 34.98ltonFroude Scaling Factors:C X C XFS if HullForm 1C XUS if HullForm 2C XLPD if HullForm 5Cxmin DP .( Cxmax Cxmin)3otherwiseNCx 1C PV FLif HullForm 13L . FS R . FS A XFSV FLif HullForm 23L . US R . US A XUSC PLPD if HullForm 5Cpmin DP .( Cpmax Cpmin)2otherwiseNCp 1C W = 0.863BM = 34.57 ftC GMB = 0.086. V FL = 2.919. 10 4 m 33 3 3 V FLV FLV FLR FS RV FS = 0.997 R US RFS V US = 0.912 R LPD RUS V LPD = 1.05LPDC ∆LW FLL . 3FS R FS100W FLL . 3US R US100W FL3L LPD100if HullForm 1if HullForm 2if HullForm 5Cdlmin DP .( Cdlmax Cdlmin).lton4otherwiseNCdl 1 ft 3