TJ-079-01 Rev C Intact Stability_97515713.pdf

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Drawing Num

Author M mber TJ‐07

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2002 SE Mar

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HOMAS

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Drive, Newpor

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Date 9/ rt, OR 97365

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NOAA Ship Thomas Jefferson Drawing Number Rev Date Page

INTACT STABILITY ANALYSIS TJ‐079‐01 C 9/12/16 2 of 16

Contents Page

REVISIONS

REFERENCES

DEFINITIONS

1. PRINCIPAL DIMENSIONS AND PARTICULARS

2. General Notes

3. MAXIMUM ALLOWABLE VCG

3.1 Weather

3.2 Righting Energy

3.3 Lifting

3.4 Towing

Appendix A. GHS Run File

REVISIONS

Rev Date Item Description Approved

- 08/15/2005 Original Release AAA/EDS

A 05/31/2006 1.

2.

3.

4.

General revision to include revised light ship characteristics resulting from installation of tunnel bow thruster, transducer fairing, and tankage modifications completed at Detyens Shipyard Inc, No. Charleston, SC in

Mar 2006.

Modified weather criteria profile and lateral plane areas incidental to bow thruster and transducer fairing installation.

Recalculated all criteria to suit revised hydrostatic properties incidental to bow thruster and transducer fairing installation.

Modified graph of minimum GMt required to suit.

AAA/EDS

B 03/30/2009 1.

2.

3.

General revision to include light ship characteristics resulting from stability test completed at Detyens Shipyard Inc, No. Charleston, SC in

Feb 2009.

Added intact stability condition summary.

Modified GHS run file to reflect updated geometry file.

SSI/JEK

C 09/15/2016 Used outboard profile to modify sail area in new GHS geometry file.

Modified GHS run file to include 3’/LBP aft trim conditions, add steering gear room vent as potential downflood point, consider both paragraphs b and c of 46 CFR 170.173 and solve worst crane lift topping angles.

Recalculated all maximum KG and minimum GMt values. Removed specific loading conditions to Trim & Stability Booklet.

NOAA/

GDMW

REFERENCES

a) 46 CFR 170.170(a)

b) 46 CFR 170.173

c) 46 CFR 173.005 and 173.007

d) 46 CFR 173.095

e) General HydroStatics (GHS) Geometry File: Jefferson.gf7

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INTACT STABILITY ANALYSIS TJ‐079‐01 C 9/12/16 3 of 16

DEFINITIONS

BL Molded Baseline of Vessel

CFR Code of Federal Regulations ft or Ft foot (feet)

GM Metacentric Height (Transverse unless otherwise stated)

GMr, GMmin Required Metacentric Height

GMt, GMT Transverse Metacentric Height

KG Vertical Center of Gravity above Keel

(considered synonymous with VCG)

KMt or KMT Transverse Metacentric Height above the BL

LCF Longitudinal Center of Flotation

LBP Length between Perpendiculars

LT Long Ton(s) (equal to 2240 lbs)

MaxRA Maximum Righting Arm

NOAA National Oceanic and

Atmospheric Administration sq ft square feet

SW Salt Water

VCG Vertical Center of Gravity above

Baseline (also KG)

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INTACT STABILITY ANALYSIS TJ‐079‐01 C 9/12/16 4 of 16

Worse of Zero or 3 feet Trim by Stern over LBP

Weather Energy Lifting Towing Governing

Draft at LCF

46 CFR

170.170

46 CFR

170.3 b

46 CFR

173.020

46 CFR

173.095

Required

Intact GM feet Required GM in feet

9 2.99 4.19 0.48 2.46 4.19

9.25 2.87 3.51 0.47 2.20 3.51

9.5 2.75 2.92 0.46 1.98 2.92

9.75 2.65 2.20 0.46 1.77 2.65

10 2.54 1.59 0.45 1.60 2.54

10.25 2.45 1.37 0.44 1.43 2.45

10.5 2.36 1.18 0.44 1.29 2.36

10.75 2.27 1.01 0.43 1.16 2.27

11 2.19 0.90 0.43 1.05 2.19

11.25 2.11 0.83 0.42 0.95 2.11

11.5 2.04 0.79 0.42 0.88 2.04

11.75 1.97 0.76 0.41 0.81 1.97

12 1.93 0.76 0.41 0.76 1.93

12.25 1.92 0.78 0.41 0.72 1.92

12.5 1.91 0.79 0.41 0.69 1.91

12.75 1.90 0.81 0.40 0.68 1.90

13 1.90 0.84 0.40 0.68 1.90

13.25 1.89 0.87 0.40 0.68 1.89

13.5 1.89 0.90 0.40 0.69 1.89

13.75 1.89 0.94 0.40 0.71 1.89

14 1.88 0.99 0.40 0.74 1.88

1. PRINCIPAL DIMENSIONS AND PARTICULARS

Principal Dimensions

Length Overall 208 feet, 2.25 inches

Length Between Perpendiculars 190 feet

Beam (molded) 45 feet

Depth at side, midship, molded 22 feet, 9 inches

Forward Perpendicular Frame 0

Frame Spacing 24 inches

Maximum Draft 14 feet Summer Load Line, SW

15.553 feet with EM1002 transducer fairing

Minimum Freeboard above Load Line 8 ft, 9.25 in

Displacement at Load Line 2,116 long tons SW

2. GENERAL NOTES

1. The following analysis demonstrates compliance with intact stability standards of 46 CFR Subchapter U after conversion to meet NOAA�s mission needs as a near‐coastal, hydrographic research vessel.

2. The General HydroStatics (GHS) computer program from Creative Systems Inc, Port Townsend WA was used to calculate required hydrostatic properties. Reference (e) is the geometry file used. The forecastle is included in the geometry file as a buoyant volume.

3. Unless identified otherwise all drafts, depths, and other vertical coordinates are measured from the baseline.

3. MAXIMUM ALLOWABLE VCG

The available GM calculated in each condition must be greater than the required GM values listed and plotted below, for the particular mean draft in sea water. These required GM values have not been corrected for a free surface moment. Therefore, the free surface moment for all tanks must be calculated.

See the Operating Instruction for restrictions on tank loading.

Required GM values appearing blue in the table come from the 3‐foot trim case; all other required GM values come from the zero trim case. Righting energy performance was only evaluated at zero trim.

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INTACT STABILITY ANALYSIS TJ‐079‐01 C 9/12/16 5 of 16

SAFE REGION

for Load

Conditions

UNSAFE REGION

for Load Conditions

Weather

Energy

Lifting

Towing

0.0

0.5

1.0

1.5

2.0

2.5

3.0

3.5

4.0

4.5

G M t (f e e t)

Draft at LCF (feet above Baseline)

Minimum GMt Required ‐ Intact

Zero Trim 3 feet Trim by Stern over LBP

Weather Energy Lifting Towing Governing Weather Energy Lifting Towing Governing

46 CFR

170.170

46 CFR

170.3 b

46 CFR

173.020

46 CFR

173.095

Allowable

Intact KG

46 CFR

170.170

46 CFR

170.3 b

46 CFR

173.020

46 CFR

173.095

Allowable

Intact KG feet feet above Baseline LT SW feet above Baseline

9 22.37 21.18 24.88 22.91 21.18 1185 22.93 21.34 25.43 23.28 21.34

9.25 22.11 21.48 24.51 22.79 21.48 1228 22.65 21.90 25.05 23.14 21.90

9.5 21.90 21.74 24.19 22.68 21.74 1271 22.42 22.17 24.71 23.01 22.17

9.75 21.69 22.14 23.88 22.57 21.69 1314 22.20 22.34 24.39 22.89 22.20

10 21.51 22.47 23.61 22.46 21.51 1358 22.01 22.75 24.10 22.76 22.01

10.25 21.33 22.42 23.34 22.36 21.33 1403 21.83 22.68 23.84 22.65 21.83

10.5 21.19 22.37 23.11 22.26 21.19 1447 21.68 22.62 23.60 22.53 21.68

10.75 21.05 22.31 22.89 22.16 21.05 1492 21.54 22.55 23.38 22.42 21.54

11 20.93 22.22 22.70 22.07 20.93 1538 21.41 22.48 23.17 22.31 21.41

11.25 20.82 22.10 22.51 21.98 20.82 1584 21.30 22.40 22.99 22.20 21.30

11.5 20.70 21.98 22.25 21.89 20.70 1630 21.21 22.30 22.83 22.09 21.21

11.75 20.57 21.85 22.20 21.80 20.57 1677 21.12 22.18 22.67 21.99 21.12

12 20.46 21.71 22.06 21.71 20.46 1724 21.02 22.04 22.54 21.88 21.02

12.25 20.36 21.57 21.94 21.63 20.36 1771 20.91 21.92 22.42 21.78 20.91

12.5 20.26 21.44 21.82 21.54 20.26 1819 20.81 21.79 22.31 21.68 20.81

12.75 20.18 21.32 21.73 21.45 20.18 1868 20.71 21.66 22.21 21.58 20.71

13 20.11 21.21 21.64 21.37 20.11 1917 20.61 21.53 22.11 21.48 20.61

13.25 20.05 21.10 21.56 21.29 20.05 1966 20.52 21.40 22.01 21.38 20.52

13.5 20.00 21.00 21.50 21.21 20.00 2016 20.42 21.27 21.91 21.28 20.42

13.75 19.95 20.90 21.44 21.13 19.95 2066 20.31 21.15 21.81 21.19 20.31

14 19.91 20.80 21.39 21.05 19.91 2117 20.19 21.02 21.69 21.09 20.19 is p la ce m e n t

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INTACT STABILITY ANALYSIS TJ‐079‐01 C 9/12/16 6 of 16

3.1 WEATHER

P = 0.005 + (LBP / 14200)^2 for ocean service = 0.005179 LT/ft

Lateral areas and vertical centroids of those areas above and below each waterline are calculated by GHS from the geometry file Jefferson.gf7 based on the sail area shown above. Freeboard and tan(T) are calculated by GHS with constant‐displacement heel instead of freeboard/beam.

GMr = P A h / (W tan(T))

Zero Trim

3' Trim by Stern

19.5

20.0

20.5

21.0

21.5

22.0

22.5

23.0

1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 2100 2200

M a x im u m

K

(f e e

Displacement (LT SW)

Weather Criterion Maximum KG Allowed

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INTACT STABILITY ANALYSIS TJ‐079‐01 C 9/12/16 7 of 16

Freeboard Heel Sail Moment Heeling Displace‐ Reqd KMt Max

LCF

Zero

Heel Half to Half

Freebd

Limit

T Tangent

Area

A arm h

Moment

P A h ment

W

GMt KG feet feet feet degrees sq ft feet ft‐LT LT feet feet feet

9 13.780 6.890 16.57° 14.00° 0.2493 6939 24.67 886 1185 3.000 25.37 22.37

9.25 13.530 6.765 16.30° 14.00° 0.2493 6895 24.66 881 1228 2.877 24.99 22.11

9.5 13.280 6.640 16.03° 14.00° 0.2493 6852 24.66 875 1271 2.762 24.66 21.90

9.75 13.030 6.515 15.76° 14.00° 0.2493 6808 24.66 869 1314 2.653 24.34 21.69

10 12.780 6.390 15.49° 14.00° 0.2493 6764 24.66 864 1358 2.550 24.06 21.51

10.25 12.530 6.265 15.21° 14.00° 0.2493 6719 24.65 858 1403 2.453 23.79 21.34

10.5 12.280 6.140 14.93° 14.00° 0.2493 6675 24.65 852 1447 2.362 23.55 21.19

10.75 12.030 6.015 14.65° 14.00° 0.2493 6629 24.65 846 1492 2.275 23.32 21.05

11 11.780 5.890 14.37° 14.00° 0.2493 6583 24.65 840 1538 2.192 23.12 20.93

11.25 11.530 5.765 14.10° 14.00° 0.2493 6537 24.65 834 1584 2.113 22.93 20.82

11.5 11.280 5.640 13.81° 13.81° 0.2458 6490 24.65 829 1630 2.068 22.77 20.70

11.75 11.030 5.515 13.53° 13.53° 0.2406 6444 24.65 823 1677 2.039 22.61 20.57

12 10.780 5.390 13.24° 13.24° 0.2353 6396 24.65 817 1724 2.014 22.47 20.46

12.25 10.530 5.265 12.95° 12.95° 0.2299 6350 24.65 811 1771 1.990 22.35 20.36

12.5 10.281 5.141 12.66° 12.66° 0.2246 6303 24.66 805 1819 1.969 22.23 20.26

12.75 10.031 5.016 12.37° 12.37° 0.2193 6256 24.66 799 1868 1.950 22.13 20.18

13 9.780 4.890 12.08° 12.08° 0.2140 6209 24.66 793 1917 1.933 22.05 20.12

13.25 9.530 4.765 11.79° 11.79° 0.2087 6161 24.67 787 1966 1.918 21.97 20.05

13.5 9.280 4.640 11.50° 11.50° 0.2035 6114 24.67 781 2016 1.905 21.90 20.00

13.75 9.030 4.515 11.21° 11.21° 0.1982 6067 24.68 775 2066 1.893 21.84 19.95

14 8.780 4.390 10.91° 10.91° 0.1928 6019 24.69 770 2117 1.886 21.79 19.90

9 12.366 6.183 17.66° 14.00° 0.2493 6955 24.77 892 1181 3.030 25.95 22.92

9.25 12.122 6.061 17.34° 14.00° 0.2493 6912 24.77 887 1224 2.905 25.56 22.65

9.5 11.879 5.940 17.02° 14.00° 0.2493 6868 24.76 881 1267 2.789 25.21 22.42

9.75 11.636 5.818 16.70° 14.00° 0.2493 6824 24.76 875 1310 2.679 24.88 22.20

10 11.394 5.697 16.39° 14.00° 0.2493 6780 24.76 869 1354 2.575 24.59 22.01

10.25 11.151 5.576 16.08° 14.00° 0.2493 6735 24.76 864 1398 2.477 24.31 21.83

10.5 10.909 5.455 15.76° 14.00° 0.2493 6690 24.76 858 1443 2.385 24.06 21.67

10.75 10.668 5.334 15.45° 14.00° 0.2493 6645 24.76 852 1488 2.297 23.84 21.54

11 10.426 5.213 15.13° 14.00° 0.2493 6600 24.76 846 1533 2.215 23.62 21.41

11.25 10.186 5.093 14.80° 14.00° 0.2493 6555 24.76 841 1578 2.136 23.44 21.30

11.5 9.945 4.973 14.47° 14.00° 0.2493 6510 24.77 835 1624 2.062 23.27 21.21

11.75 9.703 4.852 14.14° 14.00° 0.2493 6464 24.77 829 1671 1.990 23.11 21.12

12 9.460 4.730 13.80° 13.80° 0.2456 6420 24.77 824 1719 1.951 22.97 21.02

12.25 9.217 4.609 13.45° 13.45° 0.2392 6374 24.77 818 1766 1.936 22.85 20.91

12.5 8.973 4.487 13.09° 13.09° 0.2325 6328 24.78 812 1815 1.925 22.73 20.81

12.75 8.728 4.364 12.73° 12.73° 0.2259 6282 24.78 806 1864 1.915 22.62 20.71

13 8.482 4.241 12.37° 12.37° 0.2193 6235 24.79 801 1913 1.908 22.52 20.61

13.25 8.236 4.118 12.00° 12.00° 0.2126 6189 24.80 795 1963 1.905 22.43 20.52

13.5 7.988 3.994 11.63° 11.63° 0.2058 6142 24.80 789 2013 1.904 22.32 20.42

13.75 7.740 3.870 11.27° 11.27° 0.1993 6095 24.81 783 2063 1.905 22.22 20.31

14 7.491 3.746 10.90° 10.90° 0.1926 6048 24.82 777 2114 1.909 22.10 20.19

Z e ro

T ri m fe e t tr im b y st e rn o v e r

LB

P

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INTACT STABILITY ANALYSIS TJ‐079‐01 C 9/12/16 8 of 16

3.2 RIGHTING ENERGY

In accordance with reference (b), if the angle of maximum righting arm is less than 30° at all expected loading conditions, paragraph b applies. However, if that angle is more than 30°, then the higher (more lenient) maximum VCG of paragraphs b or c may be applied. According to paragraph b, the ship must have sufficient metacentric height (GM) so that ALL of the following are satisfied.

(1) initial (upright) metacentric height greater than or equal to 0.49 feet

(2) a righting arm (GZ) of at least 0.66 feet at an angle of heel equal to or greater than 30°

(3) the angle of maximum righting arm greater than or equal to 25°

(4) area under the righting arm curve up to 30° greater than or equal to 10.3 ft‐°

(5) area under the righting arm curve up to 40° OR the downflooding angle, whichever is less, greater than or equal to 16.9 ft‐°

(6) area under the righting arm curve from 30° to 40° OR the downflooding angle, whichever is less, greater than or equal to 5.6 ft‐°

Since the margin on paragraph b, limit 3, exceeds 5° at higher displacements, those angles of maximum righting arm exceed 30°. Therefore, maximum KG for righting energy is taken from paragraph b.

3' Trim by Stern

20.5 x im

(f e e

Righting Energy Maximum KG Allowed

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INTACT STABILITY ANALYSIS TJ‐079‐01 C 9/12/16 9 of 16

170.173 Limit: 1 2 3 4 5 6

Para. b GM Righting Angle at Area in ft° from

Displace‐ ment

Max

KG

Upright

> 0.49'

Arm at 30 or

MaxRA > 0.66'

MaxRA

> 25°

0 to 30°

> 10.3

0 to 40° or

Flood > 16.9

30° to 40° or

Flood > 5.6

LT feet Margin Exceeding Limit degrees Margin Exceeding Limit

1185 21.18 754% 152% 0° 218% 179% 156%

1228 21.48 616% 121% 0° 176% 141% 119%

1271 21.74 497% 94% 0° 138% 107% 87%

1314 22.14 349% 55% 0° 90% 62% 40%

1358 22.47 224% 23% 0° 48% 24% 0%

1403 22.42 179% 19% 1° 36% 16% 0%

1447 22.37 142% 16% 2° 25% 9% 0%

1492 22.31 108% 14% 2° 15% 3% 0%

1538 22.22 84% 14% 3° 8% 0% 3%

1584 22.10 70% 16% 4° 5% 0% 9%

1630 21.98 61% 19% 5° 2% 0% 15%

1677 21.85 55% 21% 5° 0% 1% 22%

1724 21.71 56% 26% 6° 0% 4% 30%

1771 21.57 59% 29% 6° 0% 6% 36%

1819 21.44 61% 31% 6° 0% 8% 42%

1868 21.32 65% 33% 7° 0% 9% 45%

1917 21.21 71% 34% 7° 0% 10% 48%

1966 21.10 77% 34% 7° 0% 11% 50%

2016 21.00 84% 34% 8° 0% 11% 50%

2066 20.90 93% 33% 8° 0% 11% 50%

2117 20.80 103% 31% 8° 0% 10% 49%

1185 21.34 833% 169% 0° 243% 199% 171%

1228 21.90 639% 118% 0° 181% 140% 107%

1271 22.17 513% 88% 0° 141% 104% 72%

1314 22.34 413% 68% 0° 110% 77% 49%

1358 22.75 269% 29% 0° 62% 32% 0%

1403 22.68 227% 26% 0° 50% 25% 0%

1447 22.62 188% 23% 1° 39% 18% 0%

1492 22.55 157% 21% 2° 30% 12% 0%

1538 22.48 129% 20% 2° 21% 7% 0%

1584 22.40 106% 18% 3° 13% 2% 0%

1630 22.30 93% 18% 4° 8% 0% 2%

1677 22.18 86% 20% 4° 6% 0% 7%

1724 22.04 85% 22% 4° 4% 0% 11%

1771 21.92 86% 22% 5° 2% 0% 14%

1819 21.79 88% 22% 5° 1% 0% 17%

1868 21.66 93% 22% 5° 0% 1% 19%

1917 21.53 100% 22% 5° 0% 1% 21%

1966 21.40 107% 21% 5° 0% 2% 22%

2016 21.27 112% 19% 5° 0% 2% 23%

2066 21.15 116% 17% 6° 0% 2% 23%

2117 21.02 119% 14% 6° 0% 1% 22% ee

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INTACT STABILITY ANALYSIS TJ‐079‐01 C 9/12/16 10 of 16

3.3 LIFTING

Paragraph (c) of 46 CFR 173.020 offers relief from specific righting arm requirements if a vessel�s hull aspect ratios fall within specified ranges at its deepest operating draft. While Length/Beam and Draft/Depth fall within their respective range limits, Beam/Depth = 45 ft / 22.75 ft = 2.043 and does not meet the minimum value of 3.4 for 173.020(c) to apply.

Safe working loads for forward and aft cranes are shown below. Both hook load maximum heights above deck are 52 feet. The forward crane has higher lateral offset of its axis of rotation from the ship centerline (8.6 feet) and therefore higher reach off centerline. This was the only crane considered to be operating at one time.

Boom

Reach

(feet)

Angle

(degrees)

Safe Working

Load at Sea

(Extended, lbs)

Max Heel

Moment

(ft‐LT)

Angle of

Max HM

(degrees)

50 0 3800 97.1‐98.1 11.6‐7.4

45 24.8 4900 107.4 24.8

40 35.6 5500 100.1 35.6

35 44.2 6200 92.3 44.2

30 51.7 7000 83.9 51.7

25 58.4 8100 77.2 58.4

5‐20 82.2‐64.7 9000 35.9 ‐67.5 82.2‐64.7

In accordance with reference (c) (46 CFR 173.005) intact stability standards of 46 CFR 173, Subpart B‐‐Lifting, apply only if the maximum heeling moment due to the hook load of any onboard lifting device is greater than or equal to the following:

HM <= 0.67 (W) (GM) (f / B) eq (1)

Further, in accordance with reference (c) (46 CFR 173.007) the hook load must be applied at the end of the boom. This increases the vertical moment by an amount equal to the hook load times the vertical distance lifted.

We assume the lifted weight is already on board on the main deck, even though the outboard distance puts it outboard of the ship. Thus the vertical distance lifted is the maximum height of the boom end above the deck.

Increased vertical moment will decrease metacentric height by an amount equal to the vertical moment divided by displacement. Thus we have:

GM = GMr ‐ VM / W eq (2)

Substituting eq (2) into eq (1), and solving for GMr yields the following expression for minimum required metacentric height without hook load included.

GMr = [ (HM / ( 0.67 (f / B) )) + VM ] / W eq (3)

Heeling moment and vertical moment from the hook load vary with boom topping angle, so the angle which generated the greatest GMr was calculated for each combination of draft and trim. The highest GMr values occurred at a boom reach of 45 feet at all drafts and both trims, and vary between 0.574 feet at 9 feet of LCF draft and 0.463 feet at 14 feet of LCF draft. Intact stability standards of 46 CFR 173, Subpart B‐‐Lifting do not apply to any condition of loading with metacentric height greater than this minimum.

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INTACT STABILITY ANALYSIS TJ‐079‐01 C 9/12/16 11 of 16

3.4 TOWING

In accordance with reference (d) (46 CFR 173.095(b)), to satisfy the towline pull criterion the ship�s transverse metacentric height (GMt) must be equal to or greater than the following:

Minimum GMt Required (GMr) = (N) (P x D) 2/3

(s) (h)

(K) (W) (f / B)

N = number of propellers = 1; P = shaft horsepower per shaft = 85% of installed brake horsepower = 2168 hp; D

= propeller diameter = 8.83 feet (per 245‐6634744C, Propeller Diagram); s = fraction of the propeller circle cylinder which would be intersected by the rudder if turned 45° from the ship�s centerline = 0.61 (calculated from 562‐6634741D, Rudder Arrangement & Details); h = vertical distance from propeller shaft centerline at rudder to towing bitts (considered at starboard aft C‐frame davit in vertical position) = 30.47 feet (measured on

801‐6634608D, Outboard Profile); W = displacement in LT sea water; f = minimum freeboard along the length of the ship in feet; B = molded beam = 45 feet; D = molded depth = 22.75 feet; and K = 38 for these English units.

Displacement and minimum freeboard are calculated at each combination of draft and trim, assuming zero heel.

Towing heeling moment at 0° heel = HMmt = (1) (2168 x 8.83) 2/3

(0.61) (30.47) / (38) = 700.28 ft‐LT; varies by cosine at other heel angles.

GMr = HMmt * B / (W * f)

Max GM KG for Subpart B Max GM KG for Subpart B for Sub‐ part B

Min to apply

Max if applies for Sub‐ part B

Min to apply

Max if applies feet feet feet feet feet feet

0.574 24.80 22.15 0.574 25.34 22.55

0.562 24.43 22.02 0.562 24.96 22.41

0.550 24.11 21.90 0.550 24.62 22.28

0.540 23.80 21.76 0.540 24.31 22.16

0.531 23.53 21.67 0.531 24.02 22.04

0.522 23.27 21.58 0.522 23.76 21.99

0.514 23.04 21.55 0.514 23.52 21.87

0.507 22.81 21.50 0.507 23.30 21.80

0.500 22.62 21.44 0.500 23.10 21.74

0.494 22.44 21.36 0.494 22.92 21.64

0.489 22.28 21.28 0.489 22.76 21.53

0.484 22.13 21.18 0.484 22.61 21.42

0.479 21.99 21.09 0.479 22.47 21.30

0.475 21.88 21.00 0.475 22.36 21.19

0.472 21.76 20.93 0.472 22.25 21.07

0.469 21.66 20.85 0.469 22.14 20.95

0.467 21.58 20.73 0.467 22.04 20.86

0.465 21.51 20.69 0.465 21.95 20.75

0.464 21.44 20.62 0.464 21.85 20.66

0.463 21.38 20.56 0.463 21.75 20.58

0.463 21.33 20.50 0.463 21.63 20.45 lb s a t fe e t ra d iu s Li ft in g

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INTACT STABILITY ANALYSIS TJ‐079‐01 C 9/12/16 12 of 16

3' Trim by Stern

23.5

24.0

24.5 xi m

(f e e

Towing Maximum KG Allowed

Free‐ board GMr KMt

Max

KG

Free‐ board GMr KMt

Max

KG

feet LT SW feet feet feet feet feet feet feet feet

9 1185 13.030 1.021 25.37 23.64 12.086 1.100 25.91 24.04

9.25 1228 12.780 1.004 24.99 23.48 11.842 1.084 25.52 23.86

9.5 1271 12.530 0.989 24.66 23.33 11.599 1.069 25.17 23.70

9.75 1314 12.280 0.976 24.34 23.18 11.355 1.056 24.85 23.54

10 1358 12.030 0.964 24.06 23.04 11.112 1.044 24.55 23.38

10.25 1403 11.780 0.954 23.79 22.91 10.869 1.034 24.28 23.24

10.5 1447 11.530 0.944 23.55 22.78 10.626 1.025 24.03 23.10

10.75 1492 11.280 0.936 23.32 22.66 10.384 1.017 23.81 22.96

11 1538 11.030 0.929 23.12 22.55 10.142 1.010 23.60 22.83

11.25 1584 10.780 0.923 22.93 22.43 9.900 1.005 23.41 22.70

11.5 1630 10.530 0.918 22.77 22.33 9.658 1.001 23.25 22.58

11.75 1677 10.280 0.914 22.61 22.22 9.414 0.998 23.09 22.46

12 1724 10.030 0.911 22.47 22.12 9.173 0.996 22.95 22.34

12.25 1771 9.780 0.910 22.35 22.02 8.931 0.996 22.83 22.22

12.5 1819 9.530 0.909 22.23 21.92 8.689 0.997 22.72 22.11

12.75 1868 9.280 0.909 22.13 21.83 8.447 0.999 22.61 21.99

13 1917 9.030 0.910 22.05 21.74 8.203 1.002 22.51 21.88

13.25 1966 8.780 0.913 21.97 21.64 7.958 1.007 22.41 21.77

13.5 2016 8.530 0.916 21.90 21.55 7.713 1.013 22.31 21.67

13.75 2066 8.280 0.921 21.84 21.47 7.467 1.021 22.21 21.56

14 2117 8.030 0.927 21.79 21.38 7.220 1.031 22.09 21.46 is p la ce m e n t

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INTACT STABILITY ANALYSIS TJ‐079‐01 C 9/12/16 13 of 16

APPENDIX A. GHS RUN FILE

Units LT

Project Jeffersn

Read Jefferson.gf7

Variables (real) lbp, beam, coef, depthm, f, bdr, lbr, tdr, kg

Variables (real) maxtop, swl, booml, craney, cranez, theta=0, gmr=0, hm, vm, gmri

Special SysDec 7

`USCG Weather Criteria 46CFR170.170 Wind Heel

Run C170170.LIB /CALL

Comments

\\\\\\\\\Required GM according to CFR 170.170\

`Parameters for using c170170.lib:

Set bo4=0, aob=0 `Use zero for no added freeboard

Set true = 1 `Use 0 to approximate half-freeboard tangent as hf / beam

`Use 1 to find true half-freeboard angle

Set lbp = 190. `feet

Set p = {lbp} div 14200 power 2 plus 0.005 `wind pressure =.005+(Lbp/14200)^2

Set mx_didr= 1 `indicates draft mode

Set mx_drn = 21 `number of drafts

Set mx_dr1 = 9. `initial draft

Set mx_dri = 0.25 `draft increment

Set mx_trn = 2 `number of trims

Set mx_tr1 = 0. `initial trim

Set mx_tri = 0.9046 `trim increment (degrees)

Set beam = 45. `feet

Set tfb = {beam} div 2. `Half breadth

CrtPt "SteerGrVent", 180, 8.583, 26.082 `Frame 90, 103" port, 36.5" above main deck

Subtitle Series of Drafts at zero trim\ | Page

Set di = {mx_dri}

Set d = {mx_dr1}

.REQGM ({mx_drn}) {mx_tr1} `(number of drafts) trim

Set di = {mx_dri}

Set d = {mx_dr1}

Subtitle Series of Drafts at 0.9046 degree aft trim\

.REQGM ({mx_drn}) {mx_tri} `(number of drafts) trim

Macro calc

Solve | Status ghs | Wind (pressure) = {p}

Heel 0 | Solve trim | HMmt wind | HMmt report

.170_170

HMmt Off

Report

Subtitle Design Waterline\

\Wind pressure = {p:7} LT/ft²\

Trim 0 | Heel 0 | Depth 14 | Solve Weight LCG `Check sail area, moment at design waterline

.calc

Subtitle Lightship\ | Page

Weight 1214.14, 96.582, -0.263, 19.734 `Lightship from GSSP

Solve depth trim heel

.calc

Subtitle Lightship plus crew and effects\ | Page

Add "Crew and effects" 5.21, 52.00, 0.00, 22.00

Solve depth trim heel

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INTACT STABILITY ANALYSIS TJ‐079‐01 C 9/12/16 14 of 16

.calc

Subtitle 46CFR170.170 Weather - GM\ | Page

.170170m

Subtitle 46CFR170.173 Weather - Righting Energy\ | Page

`46CFR170.173 Criterion for vessels of unusual proportion and form

` (Righting energy criteria) see http://www.ghsport.com/support/170173.HTM

Type (*) Intact | Load (*) 0 | Trim = 0. | Vary Trim | Heel = 0.

Macro ParB `English units

LIMIT TITLE "170.173 Paragraph b"

LIMIT (1) GM Upright > 0.49 `same as (c)

LIMIT (2) RA at Abs 30 or Max > 0.66

LIMIT (3) Absolute Angle at Max > 25. `similar to (c)(2)

LIMIT (4) Area from Abs 0 to Abs 30 > 10.3

LIMIT (5) Area from Abs 0 to Abs 40 or Fld > 16.9 `same as (c)(4)

LIMIT (6) Area from Abs 30 TO Abs 40 or Fld > 5.6 `same as (c)(5)

Macro ParC `English units

LIMIT TITLE "170.173 Paragraph c"

LIMIT (1) GM Upright > 0.49 `same as (b)

LIMIT (2) Absolute Angle at Max > 15. `similar to (b)(3)

LIMIT (3) Area from Abs 0 to Abs 30 > 10.3 `same as (b)(4)

LIMIT (4) Area from Abs 0 to Abs 40 or Fld > 16.9 `same as (b)(5)

LIMIT (5) Area from Abs 30 to Abs 40 or Fld > 5.6 `same as (b)(6)

LIMIT (6) Area from Abs 0 to Max at Abs 15 > 13.1

LIMIT (7) Area from Abs 0 to Max at Abs 30 > 10.3

VCG 0 | TCG 0 | HMmt Off

.ParB

MaxVCG Dr = 9 9.25 ... 14 /trim: 0 0.9046

Limits Off | HMmt Off | Page

`.ParC

`MaxVCG Dr = 9 9.25 ... 14 /trim: 0 0.9046

Macro d `Checks limit margins at max VCG for given LCF draft and trim.

Trim %2 | Heel 0 | Draft %1 | Solve Weight LCG TCG

VCG = Max | Solve LCG | VCG = Max

RA /Lim /NoTab

MaxVCG Valid | Page

`Trims as in MAXVCG:

.d ({mx_drn} {mx_dri}) {mx_dr1} {mx_tr1}

.d ({mx_drn} {mx_dri}) {mx_dr1} {mx_tri}

Limits Off | HMmt Off

Macro Lifting

If %1 = {mx_dr1} Then .LiftInit %4 %5

Trim 0 | Heel 0 | Depth %1 | VCG 0 | Solve weight lcg tcg

Trim %2 | Solve depth lcg tcg | Solve depth lcg tcg

Set bdr = %1 plus {FREEBD} `should this freeboard be midships or lowest?

Set lbr = {WPLEN} div {beam} `what length is applicable?

Set tdr = %1 div {bdr}

Set bdr = {beam} div {bdr}

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INTACT STABILITY ANALYSIS TJ‐079‐01 C 9/12/16 15 of 16

` If 173.020(c) does apply, check that heel is no more than to half of draft or freeboard

Set theta = %3 | Set gmr = 0. | Set f = {depthm} minus %1

.Lift1

.Lift2 %1

Macro LiftInit

Set swl = %1 `pounds safe working load at sea

Set booml = %2 `feet boom length

\Safe working load = {swl:0} pounds, Boom length = {booml:2} feet, Crane pivot pt

\is {craney:2} feet from centerline and {cranez:2} feet above lowest accessible dk

Macro Lift1

`%1 = theta, degrees; %2 = gmr, feet

Set hm = cos {theta} times {booml} plus {craney} times {swl} div 2240.

Set vm = sin {theta} times {booml} plus {cranez} times {swl} div 2240.

Set gmri = {hm} times {beam} div 0.67 div {f} plus {vm} div {WEIGHT}

` \{theta}°: HM = {hm}, VM = {vm}, f = {f}, W = {WEIGHT}, GMr = {gmri}

If {gmri} > {gmr} then Set gmr = {gmri}

If {gmri} < {gmr} then Exit

Set theta = {theta} plus 0.1

If {theta} <= {maxtop} then Exit Lift1 {theta} {gmr} `iterate

Macro Lift2

Set theta = {theta} minus 0.1

Set hm = cos {theta} times {booml} plus {craney} times {swl} div 2240.

Set vm = sin {theta} times {booml} plus {cranez} times {swl} div 2240.

Set coef = {vm} div {WEIGHT}

Set coef = {gmr} minus {coef} times 0.67 times {WEIGHT} times {f} div {beam}

\\Beam/Depth = {bdr}, Length/Beam = {lbr}, Draft/Depth = {tdr}\

If {bdr} < 3.4 then Note Beam to depth ratio < 3.40, too low for 173.020(c) to apply\

If {bdr} > 4.75 then Note Beam to depth ratio > 4.75, too high for 173.020(c) to apply\

If {lbr} < 3.2 then Note Length to beam ratio < 3.20, too low for 173.020(c) to apply\

If {lbr} > 4.5 then Note Length to beam ratio > 4.50, too high for 173.020(c) to apply\

If {tdr} < 0.6 then Note Draft to depth ratio < 0.60, too low for 173.020(c) to apply\

If {tdr} > 0.85 then Note Draft to depth ratio > 0.85, too high for 173.020(c) to apply\

Set kg = {BMT} minus {gmr} times cos {trim} plus {VCB}

\\At {DEPTH:3} ft origin depth, displacement = {WEIGHT:0} Long Tons;\

\Maximum heeling moment of {hm:1} ft-LT occurs at {theta}° topping angle,\

\Subpart B applies if GM is less than {gmr:3} ft (KG exceeds {kg:3} ft):\

HMmt {hm} | VCG 0

LIMIT TITLE "173.020(b)(2) - Exposed Waters"

Limit (1) GM Upright > {gmr}

Limit (2) Area from 0 to Max or Fld > 15.

Limit (3) Area from 0 to Max or Abs 40 > 15.

MaxVCG Draft @ 0 = {DEPTH}

HMmt Off

Subtitle 46CFR173 Subpart B Lifting\ | Page

`USCG Lifting Criteria 46CFR173 Subpart B

Set craney = 8.26 `feet off centerline

Set cranez = 52. `feet above lowest accessible deck

Set depthm = 22.75 `feet hull depth at side midships

Set maxtop = 75. `degrees maximum topping angle

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0. 0. 3800. 50.

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INTACT STABILITY ANALYSIS TJ‐079‐01 C 9/12/16 16 of 16

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0. 24.8 4900. 45.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0. 35.6 5500. 40.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0. 44.2 6200. 35.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0. 51.7 7000. 30.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0. 58.4 8100. 25.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0. 64.7 9000. 20.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0. 70.8 9000. 15.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0. 76.6 9000. 10.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0. 82.2 9000. 5.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0. 0. 8000. 30.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0. 29.3 9000. 25.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0. 44.6 9000. 20.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0. 56.5 9000. 15.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0. 67.1 9000. 10.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0. 76.9 9000. 5.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0.9046 0. 3800. 50.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0.9046 24.8 4900. 45.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0.9046 35.6 5500. 40.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0.9046 44.2 6200. 35.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0.9046 51.7 7000. 30.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0.9046 58.4 8100. 25.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0.9046 64.7 9000. 20.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0.9046 70.8 9000. 15.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0.9046 76.6 9000. 10.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0.9046 82.2 9000. 5.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0.9046 0. 8000. 30.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0.9046 29.3 9000. 25.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0.9046 44.6 9000. 20.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0.9046 56.5 9000. 15.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0.9046 67.1 9000. 10.

.Lifting ({mx_drn} {mx_dri}) {mx_dr1} 0.9046 76.9 9000. 5.

Macro Tow

Trim 0 | Heel 0 | Depth %1 | VCG 0 | Solve weight lcg tcg

Trim %2 | Solve depth lcg tcg | Solve depth lcg tcg | Fix Trim

Set gmr = 2168. times 8.83 power 0.6667 times 1 times 0.61 times 30.47

Set gmr = {gmr} times {beam} div 38. div {WEIGHT} div {FREEBD}

\Init draft = %1 ft, displ = {WEIGHT:0}, freebd = {FREEBD:3} ft, GM reqd = {gmr:3} ft\

HMMT {hm} /C1

MaxVCG Draft @ 0 = {DEPTH}

Vary Trim | HMmt Off

Subtitle 46CFR173.095 Towing\ | Page

`USCG Towline Pull Criteria 46CFR173.095, see http://www.ghsport.com/support/173095b.HTM

Set hm = 2168. times 8.83 power 0.6667 times 1 times 0.61 times 30.47 div 38.

\Initial towing heeling moment = {hm:2} ft-LT\ `| Fix Trim

Limit Title 173.095 (c) Towline pull

Limit (1) Angle from Equil to Fld > 0.

Limit (2) Area from Equil to Max > 2.

Limit (3) Area from Equil to Fld or 40 > 2.

.Tow ({mx_drn} {mx_dri}) {mx_dr1} 0

.Tow ({mx_drn} {mx_dri}) {mx_dr1} 0.9046

Report Off

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