Marine Proj Uss Varuna

Marine Design Project:

USS Varuna

Members:

Ryan Abadie Jared Acosta Todd Capiton Mark Pavkov

Sean Testa

NAME 4175 Dr. Cliff Whitcomb

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Table of contents Summary........................................................................................................................ 6 1.0 Design Requirements and Overview....................................................... 7 2.0 Ship Geometry .................................................................................................. 10

2.1 Principal Characteristics ......................................................................................... 10 2.2 Hull Shape Characteristics...................................................................................... 14

3.0 Ship Powering................................................................................................... 16 3.1 Description of Analysis........................................................................................... 16 3.2 Engine and Propeller Selection............................................................................... 16 3.3 Shafting ................................................................................................................... 19 3.4 Rudders and Struts .................................................................................................. 20 3.5 Generator Sets......................................................................................................... 20

4.0 General Arrangements .................................................................................. 23 4.1 Arrangement Requirements .................................................................................... 23 4.2 General Arrangements ............................................................................................ 23 4.3 Tank Arrangement .................................................................................................. 24 4.4 Floodable Lengths................................................................................................... 25

5.0 Weight Estimation........................................................................................... 30 6.0 Intact and Damaged Stability .................................................................... 35

6.1 Intact Stability......................................................................................................... 35 6.2 Damaged Stability................................................................................................... 38

7.0 Structures............................................................................................................. 42 7.1 Materials ................................................................................................................. 42 7.2 Plating ..................................................................................................................... 42 7.3 Scantlings................................................................................................................ 44 7.4 Hull Girder Sectional Modulus and Inertia............................................................. 45 7.5 Midship Section ...................................................................................................... 48 7.6 Shear and Bending Moments .................................................................................. 49

8.0 Seakeeping Analysis ...................................................................................... 54 9.0 Cost Analysis ..................................................................................................... 56 Conclusion .................................................................................................................. 59 Appendix ..................................................................................................................... 60

Appendix A: Mission Need Statement ......................................................................... 61 Appendix B: Ship Powering ......................................................................................... 65 B 1. NavCAD output..................................................................................................... 65 B 2. Rudder Calculations .............................................................................................. 66 B 3. Shafting/Struts Calculations.................................................................................. 66 B 4. Speed vs. Fnv ......................................................................................................... 67 Appendix C: Tank Sounding Tables............................................................................. 68

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Appendix D: Stability ................................................................................................... 72 D 1. Crane Stability Check ........................................................................................... 72 D 2. Intact Output ......................................................................................................... 73 D 3. Damaged Output ................................................................................................... 94 Appendix E: Structures ............................................................................................... 160

E 1. Auto Hydro Output.......................................................................................... 160 E 2. Abbreviations .................................................................................................. 171 E 3. Member calculations due to orientation .......................................................... 171

Appendix F: Seakeeping............................................................................................. 174 F 1. Powersea Output.............................................................................................. 174

Table of tables Table 1.0.1 Comparative Naval Architecture Analysis Summary...................................... 9 Table 2.1.1 Initial Principal Dimensions .......................................................................... 11 Table 2.1.2 Patrol Craft Comparison Vessels................................................................... 13 Table 2.2.1 Principal Dimensions..................................................................................... 14 Table 3.2.1 Analysis Parameters....................................................................................... 18 Table 3.2.2 Condition Data............................................................................................... 18 Table 3.2.3 Hull Data........................................................................................................ 19 Table 3.2.4 Propulsor Data ............................................................................................... 19 Table 3.2.5 Planing Parameters ........................................................................................ 19 Table 3.2.6 Planing/Resistance Data Results.................................................................... 19 Table 3.5.1 Electrical Load Analysis................................................................................ 22 Table 4.3.1 Fuel Consumption Calculation ...................................................................... 24 Table 4.3.2 Potable Water Consumption Calculation....................................................... 24 Table 5.0.1 Design Phase Weight Margins....................................................................... 30 Table 5.0.2 Tank Capacity Summary ............................................................................... 31 Table 5.0.3 Hull Structure Weight.................................................................................... 31 Table 5.0.4 Propulsion System Weight............................................................................. 32 Table 5.0.5 Electric Plant Weight ..................................................................................... 32 Table 5.0.6 Command and Surveillance Weight .............................................................. 32 Table 5.0.7 Auxiliary System Weight............................................................................... 33 Table 5.0.8 Outfit and Furnishings Weight ...................................................................... 33 Table 5.0.9 Armament Weight.......................................................................................... 33 Table 5.1.0 Misc Cargo Weight........................................................................................ 34 Table 5.1.1 Lightship Weight Summary........................................................................... 34 Table 5.1.2 Lightship Weight Summary with Margins .................................................... 34 Table 6.1.1 Wind Heeling Moment Variables .................................................................. 35 Table 6.1.2 Wind Heeling Maximum VCG Values.......................................................... 36 Table 6.1.3 High Speed Turn Moment Variables ............................................................ 36 Table 6.1.4 High Speed Turn Maximum VCG Values.................................................... 37 Table 6.2.1 Damaged Wind Heeling Moment Variables.................................................. 39 Table 7.1.1 Properties for 5086H-111 Aluminum............................................................ 42 Table 7.2.1 ABS Bottom Slamming Pressure................................................................... 43 Table 7.2.2 Minimum Plate Thickness ............................................................................. 43

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Table 7.2.3 Minimum Bottom Plate Thickness ................................................................ 43 Table 7.2.4 Minimum Strength Deck Thickness .............................................................. 43 Table 7.2.5 Minimum Internal Deck Thickness ............................................................... 43 Table 7.2.6 Minimum Side Shell Thickness..................................................................... 43 Table 7.3.1 ABS minimum member section modulus...................................................... 44 Table 7.3.2 ABS minimum member inertia with effective plating................................... 44 Table 7.3.3 ABS vs. empirical section modulus............................................................... 45 Table 7.3.4 ABS vs. empirical inertia............................................................................... 45 Table 7.4.1 SM criteria for all high speed craft ................................................................ 46 Table 7.4.2 SM craft 79 ft and over .................................................................................. 46 Table 7.4.3 Wave Moment Sagging ................................................................................. 46 Table 7.4.4 Wave Moment Hogging................................................................................. 46 Table 7.4.5 Wave Moment Still Water ............................................................................. 47 Table 7.4.6 Slamming Moment ........................................................................................ 47 Table 7.4.7 Minimum Hull Girder Inertia ........................................................................ 47 Table 7.5.1 Section modulus calculation .......................................................................... 49 Table 7.6.1 ABS Wave Shearing Force ............................................................................ 53 Table 7.6.2 ABS Slamming Shear ................................................................................... 53 Table 7.6.3 Allowable stress due to moment and shear analysis...................................... 53 Table 8.1.1 PNA Motions Criteria vs. Varuna Output - Irregular Seas........................... 54 Table 8.1.2 USS Varuna Seakeeping Data – Irregular head seas. ................................... 55 Table 8.1.3 118’ WPB Model Data – Irregular head seas. .............................................. 55 Table 9.0.1 SWBS Weight Estimation ............................................................................. 56 Table 9.0.2 Lead ship cost ................................................................................................ 57 Table 9.0.3 Follow ship cost ............................................................................................. 58 Table of figures Figure 2.1.1 Length vs. Beam........................................................................................... 11 Figure 2.1.2 Displacement vs. Length .............................................................................. 11 Figure 2.1.3 Displacement vs. Draft ................................................................................. 12 Figure 3.2.1 Resistance vs. Speed..................................................................................... 17 Figure 3.2.2 EHP vs. Speed .............................................................................................. 17 Figure 3.2.3 SHP vs. Speed .............................................................................................. 18 Figure 4.0.1 Floodable Lengths ........................................................................................ 26 Figure 4.0.2 Outboard Profile ........................................................................................... 27 Figure 4.0.3 Plan View ..................................................................................................... 28 Figure 4.0.4 Inboard Profile & Tank Plan ........................................................................ 29 Figure 6.1.1 Maximum Allowable VCG (Intact) vs. Draft Graph.................................... 37 Figure 6.1.2 Combined Maximum Allowable VCG (Intact) with Conditions ................. 38 Figure 6.2.1 Maximum Allowable VCG (Damage) vs. Draft Graph ............................... 40 Figure 6.2.2 Maximum Allowable VCG (Damage) vs. Draft Graph ............................... 40 Figure 6.2.3 Margin Line Immersion Graph..................................................................... 41 Figure 7.5.1 Midship Section............................................................................................ 48 Figure 7.6.1 Full load Still Water Conditions................................................................... 50

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Figure 7.6.2 Full Load Hogging Wave ............................................................................. 50 Figure 7.6.3 Full Load Sagging Wave .............................................................................. 51 Figure 7.6.4 Min. Op. Still Water Conditions................................................................... 51 Figure 7.6.5 Min. Op. Hogging Wave .............................................................................. 52 Figure 7.6.6 Min. Op. Sagging Wave .............................................................................. 52

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Summary

This paper focuses on the second iteration in the design of a 115’ patrol craft, USS Varuna. The second iteration began in January 2005 with considerable changes to design including hull form and principal dimensions as well arrangements. The Varuna is a high-speed aluminum planing hull with twin-screw diesel propulsion and light armament. The project started with a Navy Mission Need statement and from that a concept design was initiated. Lines for the hull form were then generated as well as powering requirements. A general arrangement of all decks and tanks was produced, as was a weight estimation of all seven weight groups, including weight margins. A stability analysis, intact and damaged, was performed for applicable criteria and floodable lengths were found. The analysis for the structural integrity of the vessel is presented in detail for primary loading. A seakeeping analysis is presented and an initial economic analysis was performed. All findings are presented along with calculations supporting the design aspects. Team members involved in the project include:

• Ryan Abadie - ___________________ • Jared Acosta - ___________________ • Todd Capiton - ___________________ • Mark Pavkov - ___________________ • Sean Testa - ___________________

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1.0 Design Requirements and Overview The Mission Need Statement (MNS) supplied by the Navy (Appendix A) provides a general outline of vessel parameters and requirements, while the specific details of the design are omitted. The more specific requirements in the MNS will be used as a guideline for design and include the following: mission, armament, survivability, and mobility. The mission of this vessel is clearly defined as coastal patrol, interdiction, and surveillance. These applications dictate certain needs for this vessel, namely, reduced draft (assumed to be less than 10 feet) for operation near shore, relatively high speed, and armament. Type and extent of weaponry is based on vessel application and size. Although the degree of armament remains to be determined, the vessel must include light weapons, at minimum fore and aft guns, one of which will be a 35mm cannon. Armament is to be modular, allowing for easy modification if necessary. The vessel will have surveillance/intelligence outfitting and transport an interceptor vessel with over the side launch and retrieval. The MNS specifies the need for survivability. The vessel must “protect itself, avoid soft-kill sensors and systems, degrade gracefully, and fight hurt and survive”. The vessel should also be able to avoid radar detection, signal interception, etc. Protection from enemy attack as well as weather and environment are necessary. Since the vessel will be operated in open seas, it is stated that it must withstand sea state 5. Range is not explicitly defined and depends on application, size, and speed. Manning, stores, and fuel capacity are issues that will be addressed. The vessel must remain maneuverable at “sustained Naval expeditionary force speeds” as stated by the MNS. Exact requirements for speed are to be determined by the designer and will be comparable to vessels of similar size and use. Redundancy of machinery is also specified to maintain mobility in case of failure. The vessel must have a five-day endurance. Because speed requirements were not specified, the above guidelines were taken from “Patrol Coastal Program – Requirements Definition to Contract Award”, a paper published in the Technical Proceedings to the Small Boats Symposium 1993.

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I. Gross Characteristics 115’ PC PC 6 AM 500 Comments ∆FL (LT) 89 329 480 L (ft) 115 170 206.7 B (ft) 20 25 32 T (ft) 4.25 8 8.1 D10 (ft) - Depth of Hull Structure at Midship 10 - 17 L/B 5.8 6.1 6.5 CP 0.600 - - CX 0.72 - - VS - Speed (knots) 40 35 41 II. Wt. Allocation Fraction W1 /WT 0.5 0.4 0.35 Check struct. wt (high) W2 /WT 0.210 0.250 0.200 W3 /WT 0.040 0.060 0.090 W4 /WT 0.060 0.020 0.080 W5 /WT 0.090 0.130 0.130 W6 /WT 0.210 0.120 0.070 Check outfit wt (high) W7 /WT 0.050 0.030 0.070 Wg /WT (M11) - Design Margin - - - WL /WT - Light Ship 0.680 0.86 0.710 Based on loading cond. wt WF /WT (F40) - Fuel 0.210 0.13 0.180 Check fuel needs (high) WA /WT (F20) Fuel (aviation) - - - WLD /WT (F00) - - - III. Volume Allocation ∇T 3115 11498 16800 Havg - Deck Height 10.00 - 17.00 ∇HUW /∇T - - - ∇HAW /∇T - - - ∇DH /∇T - Deck House 1.700 - - ∇MB /∇T - Machinery Box 0.840 - - ∇TK /∇T - Tankage 0.450 - - ∇1 /∇T - - - ∇2 /∇T - - - IV. Capacity Size Ratios PI /∆ (shp/Ton) - Power Installed 79.7 10.2 6.5 Check powering (high) kWI /∆ (kW/Ton) - Electric Generation Installed 1.2 0.9 1.2 NT /∆ (men/Ton) - Crew and Effects 0.150 0.110 - ∇T /∆ (ft3/Ton) 35.0 35.0 35.0 V. Specific Ratios W1 /∇T (lb/ft3) 31.57 22.12 16.12 Check struct. wt (high)

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W2 /PI (lb/shp) 5.84 46.35 49.04 Check powering (high) ∇MB /PI (ft3/shp) - Machinery Box 0.37 - - W3 /kWI (lb/shp) 113.0 90.3 86.2 Check elect. wt (high) W5 /∇T (lb/ft3) 5.52 7.37 5.93 W6 /∇T (lb/ft3) 13.86 6.45 3.33 Check outfit wt (high) VI. Densities (lb/ft3) ∆ / ∇T 64.00 64.00 64.00 WCS (tons) 9.8 12.6 52.6 Used W4+W7 WCS /∇1 - - - VII. Overall WCS /∆ 0.110 0.040 0.110 WCS · VS /∆ 4.04 1.40 4.51 V in kts Note: (-) denotes values that could not be found

Table 1.0.1 Comparative Naval Architecture Analysis Summary Two patrol boats were used in the comparative naval architecture table – the PC 6 Sirocco Class and a design by Advanced Marine known as the AM 500. Although not all values could be obtained for the comparison vessels, the task did shed some light on areas of the design that needed to be addressed. First and foremost was the weight estimate. The chart shows that the outfitting, structural, and electrical system weights are somewhat high. This was expected, as the weight estimate in the first iteration was based on regression analysis of similar vessels and not the actual components of the 115’ patrol craft. A more thorough evaluation of weights is presented in this report. Secondly, the powering, and therefore the fuel capacity, seems to have been over-estimated. Savitsky’s Short Form was used on the first iteration of the design but further analysis was performed in NavCAD in this report.

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2.0 Ship Geometry 2.1 Principal Characteristics To arrive at the initial principal characteristics for the design, a spreadsheet of similar vessels was comprised. The vessels included US Coast Guard class vessels, US Navy class vessels, and a builder of military vessels (Vosper Thornycroft) whose missions and requirements were similar to those outlined in the Mission Need Statement. Before beginning the hull sizing process, it was decided that a planing hull would be used to minimize resistance at high speeds and retain a shallow draft. Furthermore, aluminum would be used for the hull as well as superstructure to further reduce displacement. The following values were plotted for the sample vessels and a regression analysis performed to obtain preliminary dimensions: length vs. beam, length vs. displacement, and displacement vs. draft. To begin the design, it was known that planing hulls require a coefficient of velocity (CV) of 2 (Savitsky, “Hydrodynamic Design of Planing Hulls”, Marine Technology, 1964) and the cruising velocity should be roughly 30 knots. Using these values and Savitsky’s equation:

CV = V/(g*B).5

a value of 20 feet was found for the vessel’s beam. Next, the equation in figure 2.1.1 was used to determine length:

L = 9.8489*B –91.585 = 105 ft

Knowing the length, the relationship shown in figure 2.1.2 was used to find the displacement:

∆ = 2.2244*L –120.01 = 113.55 LT

Finally, from figure 2.1.3, a value for draft was found:

∆ = 56.857*T – 253.56

T = 5.5 ft

Therefore, initial principal dimensions were as follows:

L = 105 ft B = 20 ft T = 5.5 ft

However, these values were altered based on a patrol boat design by Advanced Marine known as the AM 110. This Coast Guard coastal patrol craft was used for reference and is a 123 ft in length, 23 ft in breadth, and 4.8 ft in draft. The first modification to the derived principal dimensions was to increase the length to 115’ to obtain a similar L/B ratio (a long and slender design was preferred for the reduction in vertical accelerations and efficiency of propulsion). The draft was reduced to 4.0 ft in order to maintain a low displacement. With these modifications the revised principle dimensions were as follows:

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Displ (LT) 100 L (ft) 115 B (ft) 20 T (ft) 4.0

Table 2.1.1 Initial Principal Dimensions

y = 9.8489x - 91.585

0

20

40

60

80

100

120

140

160

180

14 16 18 20 22 24 26 28

Beam (ft)

Leng

th (f

t)

Figure 2.1.1 Length vs. Beam

y = 2.2244x - 120.01

0

50

100

150

200

250

300

350

400

0 20 40 60 80 100 120 140 160 180

Length (ft)

Dis

plac

emen

t (LT

)

Figure 2.1.2 Displacement vs. Length

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y = 56.857x - 253.56

0

50

100

150

200

250

300

350

400

4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10

Draft (ft)

Dis

plac

emen

t (LT

)

Figure 2.1.3 Displacement vs. Draft

Vessel Class / Type Displacement Length Beam Draft Power Power Range Propulsion Max Speed Cruising Construction

(LT) (ft) (ft) (ft) Plant (HP) (NM) (Kts) Speed (Kts) Cost

USCG Island 175 123 21 7.3 diesel 5308 3300 twin screw, FPP 28 - - USCG Island 165 110 21 7.3 diesel 5308 3000 twin screw, FPP 29.5 - - Vosper 34 m Fast Patrol 133 114 21 6.6 diesel 3020 1400 twin screw, FPP 34 14 - Vosper Tenacity - 144.5 26.5 7.75 CODOG - - twin screw, FPP 40 16 - USCG Marine Protector 90 87 19.4 5.6 diesel 3004 900 twin screw, FPP 25 - 3.5 million USCG Point 66 82.8 17.6 6 diesel 1340 1580 twin screw, FPP 22 8 - USN Asheville 285 164.5 24 9.3 CODOG1450/26600 2300 twin screw, FPP 35 14 - USN PC Cyclone 341 170 25 7.9 diesel 13400 2000 quad screw FPP 35 25 -

Table 2.1.2 Patrol Craft Comparison Vessels

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2.2 Hull Shape Characteristics Arriving at the present hull form required significant revision of the initial design. The details of the original design and the revised design are described here. The initial hull form, as well as the revised version, was modeled using Rhinoceros 3.0. General Hydrostatics Software (GHS) was then used to get hydrostatic data. Whether or not the hull would actually plane was of significant importance. The first source of support that the hull would achieve planing is that the design was based on a CV of 2 (Satvitsky’s requirement for planing). Secondly, at the desired max velocity of 40 knots a speed to length ratio of 3.79 was obtained, where values of 2.5 to 3 have traditionally been associated with planing hulls. A warped vee (non-constant deadrise), hard-chined design was utilized. Deadrise of the original design was 25° at the transom and increased to 29° at midships. In order to minimize vertical accelerations a deep, fine forefoot was used. The deep vee design was desired for its seakeeping capabilities. The revised design retained many aspects of the original design. Length and draft were kept constant, as was the general hard-chined, planing form. The vee design and fine forefoot were kept to minimize vertical accelerations. There were many changes to the original hull form, however. Space in the hull (particularly in the engine room) was somewhat of a problem, therefore the beam was increased by two feet to 22 feet maximum. This produced a L/B ratio of 5.22 and would also aid in planing. After more research into planing hulls over 100 feet and also to combat the internal, below deck space problem, the deadrise was reduced from 26° to 15° in the transom. Larger planing hulls, such as the patrol craft, generally need 12° to 18° of deadrise in order to plane efficiently. Flare was added in the bow to keep water off the deck and to add buoyancy as the bow is submerged. All of these changes produced a hull similar to a design noted in the SNAME Small Craft Data Sheets – model # TMB-4667. In order to explore the performance of the hull, motions software will be used. Model testing of the hull would also be an important part of this investigation. The hull lines follow and the updated principal dimensions are:

Displ (LT) 121 L (ft) 115 B (ft) 22 T (ft) 4.0

Table 2.2.1 Principal Dimensions

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Figure 2.2.1 Lines plan

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3.0 Ship Powering 3.1 Description of Analysis The powering estimate for the Varuna employed NavCAD and the Savitsky resistance model for planing hulls. Appendages in the analysis included rudders, struts, and shafts. The analysis was performed for a sea state of three and a wind speed of 13.5 knots. The shaft angle was approximated by using the target prop diameter of 4 feet plus 20% for tip clearance. Ideally, the final shaft angle would align the shaft with the CG to promote desirable trim characteristics when planing. The input values used in the analysis are listed in tables 3.2.1-3.2.5. Powering was analyzed with and without appendages and environmental effects. At 32037 pounds, the resistance at 40 knots increased by 3 % when adding appendages, wind, and waves. The horsepower needed to propel the vessel at the maximum design speed of 40 knots was found to be 5603 horsepower. Volumetric Froude numbers of 2.5 were found at 33 and 34 knots for Full Load and Min Op conditions, respectively. This indicated approximately at what speeds the vessel would plane. Appendix B includes tables that illustrate how Fnν varied with speed. 3.2 Engine and Propeller Selection Bases on the NavCAD horsepower results, the engines were selected. The twin-screw vessel required 2 engines with a rating of at least 2704 each to achieve the total horsepower need of 5603. Conventionally, vessels of this size and application utilize diesel engines. This convention was followed when selecting the power plant for the vessel. The MTU 16V-4000 was chosen for its light weight and continuous rating. It is a 16 cylinder, V configuration with turbo chargers producing 3650 HP at 2100 RPM and weighs approximately 17000 lbs dry without the reduction gear. This gives a total horsepower for the vessel of 7300. Given a required power of 5603 HP and an installed power of 7300 HP, a margin of 23% was obtained. The Navy requires a margin of 20% associated with planing hulls (NAVSEA report # 6660-99, Rev A). The margin consists of 5% for calculation variance, 5% for fouling, etc., and 10% for the “hump” region. In the first iteration, the propellers were found to cavitate and finding the resources to choose the optimum propeller proved difficult. Since the weight and size of the vessel were increased, it was evident that the increased load would also produce cavitation. Therefore, Michigan Wheel Corporation was contacted for a better estimation of prop characteristics. Using the parameters of the patrol boat, Michigan Wheel recommended a custom Series 5-bladed propeller for high-speed craft. The propeller has a diameter of 48”, a pitch of 51”, and an area ratio of 0.7. The reduction gears were sized once the propeller dimensions were known and a reduction of 2:1 was needed. Using a matching program from the ZF Marine website, the ZF 7850 C model was selected. It is a medium duty, continuous, reversible, single speed transmission with a 2:1 reduction and weighs 2508 lbs. The total weight of the gears and engines came to 39016 lbs. or 17.5 LT.

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Figure 3.2.1 Resistance vs. Speed

Figure 3.2.2 EHP vs. Speed

0

5000

10000

15000

20000

25000

30000

35000

0 5 10 15 20 25 30 35 40 45

Velocity (kts)

R to

tal (

lbs)

0

500

1000

1500

2000

2500

3000

3500

4000

4500

0 5 10 15 20 25 30 35 40 45

Velocity (kts)

EHP

(hp)

18

0

1000

2000

3000

4000

5000

6000

0 5 10 15 20 25 30 35 40 45

Velocity (kts)

SHP

(hp)

Figure 3.2.3 SHP vs. Speed

Bare-hull Savitsky planningTechnique PredictionCf type ITTCAlign to Rbare/WCorrelation allowance(Ca) 0.0004

Table 3.2.1 Analysis Parameters

Water type Standard SaltMass density 1.9905 slug/ft3Kinematic visc 1.2791e-05 ft2/s

Table 3.2.2 Condition Data

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115.000 ft 8.920 ft

105.210 ft 20.380 ft

4.000 ft 121.76 LT

1780.100 ft2

111.770 ft 18.500 ft

1769.000 ft2

21.000 deg 46.370 ft

4.880 ft

Deadrise midchine LCG fwd transom VCG above BL

Proj chine length Max chine beam Proj bottom area

Max beam on WL Max molded draft Displacement bare Wetted surface

Length between PP WL bow pt aft FP Length on WL

Table 3.2.3 Hull Data

8.000 deg -2.660 ft2

2.050 ft

Shaft angle to BL VCE above BL LCE fwd transom

Table 3.2.4 Propulsor Data

Parameters: Fn(Bch) 1.64...13 0.7 Fn-high 1.64...13 2.8 LCG/Bch 0.6...3 2.51 Clb-high 0...0.5 0.18 Deadrise 0...30 21.0

Savitsky planing

Table 3.2.5 Planing Parameters

Vel [kts] Fn Rn Cf Rbare/W EHP [hp] SHP [hp]10 0.29 1.80E+08 0.001917 0.03588 300 51714 0.406 2.46E+08 0.001836 0.04337 508 79518 0.522 3.06E+08 0.001783 0.0526 792 118522 0.638 3.59E+08 0.001745 0.06328 1165 170326 0.754 4.03E+08 0.001719 0.07504 1633 235630 0.87 4.37E+08 0.001701 0.08744 2195 314534 0.986 4.63E+08 0.001688 0.0999 2843 405638 1.102 4.82E+08 0.001679 0.11183 3557 506740 1.16 4.90E+08 0.001676 0.11746 3932 5603

Table 3.2.6 Planing/Resistance Data Results

3.3 Shafting Requirements for shaft diameter were found using ABS High Speed Naval Craft Rules. Aquamet 22 was chosen as the shaft material for its strength, availability, and light weight. Using the engine and propeller parameters, a shaft diameter of 4.5” was

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obtained. With the shaft being approximately 27’ long, total weight per shaft was found to be 1159 lbs. or 0.52 LT. 3.4 Rudders and Struts Preliminary design for the rudders began with minimum area requirements obtained from Sorenson’s Guide to Powerboats (Donald L. Blount Associates, 2002). A commonly used wedge shape, double plate rudder for high performance craft was chosen as the basis for the rudder shape. Each rudder has an area of 6.52 ft2 and a thickness/cord ratio of .217. The rudder is balanced with 15 % of the area forward of the stock. ABS Rules were used to find the rudder force and torque to be used for structural design in the future. All placement dimensions (i.e. tip clearance, distance from screw to rudder, etc.) were found from David Gerr’s Propeller Handbook. Rudder shape and placement can be seen on the general arrangement. ABS High Speed Naval Craft Rules were also used to find preliminary sizes for struts and bossings. “V” type struts were used and a plate thickness of 1.75” was found. The bossing pipe was found to require a 1” wall thickness. Calculations supporting these findings can be found in Appendix B. 3.5 Generator Sets The Navy requires full redundancy for the vessel’s electrical powering, including a 20% margin; i.e. there must be at least two generators with one generator supporting the entire electrical load plus have a reserve of 20% power. The electric load analysis shown in table 3.5.1 dictated a power need of 59 kW, based on the on-station condition. The analysis was based on that of a 115 foot aluminum crewboat. For this iteration, pumps, compressors, piping, etc. were not selected. Therefore, kW and load factor values, when unknown, were used from the crewboat and applied to components of the Varuna. Based on this analysis, two Cummins DGCG 60 Hz generators were selected. This model produces 80 kW, providing the Varuna with 160 kW total and a power margin of 23%. LOAD CHARACTERISTICS UNDER WAY ON STATIONLOAD DESCRIPTION kW AMPS VOLTS L/F kW L/F kW Steering Pump #1 7.46 11.22 480 1.00 7.46 1.00 7.46 Steering Pump #2 7.46 11.22 480 1.00 7.46 0.00 0.00 Port Generator Room Blower 1.12 1.76 460 1.00 1.12 1.00 1.12 Starboard Generator Room Blower 1.12 1.76 460 1.00 1.12 1.00 1.12 Port Engine Room Blower 1.12 1.76 460 1.00 1.12 1.00 1.12 Starboard Engine Room Blower 1.12 1.76 460 1.00 1.12 1.00 1.12 Air Compressor #1 3.73 5.85 460 0.25 0.93 0.25 0.93 Air Compressor #2 3.73 5.85 460 0.00 0.00 0.00 0.00 Fire Pump 14.92 23.41 460 0.10 1.49 0.10 1.49 Bilge Pump 14.92 23.41 460 0.10 1.49 0.10 1.49 Potable Water Pressure Set Pump 0.75 1.17 460 0.20 0.15 0.20 0.15 HVAC Compressor Control Panel 1.49 2.34 460 1.00 1.49 1.00 1.49

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Sea Water Pump HVAC Compressor Control Panel Tempered Water Pump 1.49 2.34 460 1.00 1.49 1.00 1.49 MSD IMO Dilution Pump 1.49 2.34 460 0.15 0.22 0.15 0.22 Sewage Discharge Pump 3.73 5.85 460 0.10 0.37 0.10 0.37 Engine Room Lights #1 0.50 4.17 120 1.00 0.50 1.00 0.50 Engine Room Lights #2 0.50 4.17 120 1.00 0.50 1.00 0.50 Generator Room Lights #1 0.50 4.17 120 1.00 0.50 1.00 0.50 Generator Room Lights #2 0.50 4.17 120 1.00 0.50 1.00 0.50 Rudder Room Lights #1 0.50 4.17 120 0.20 0.10 0.20 0.10 Rudder Room Lights #2 0.50 4.17 120 0.20 0.10 0.20 0.10 Generator Heater #1 1.00 8.33 120 0.10 0.10 0.10 0.10 Generator Heater #2 1.00 8.33 120 0.10 0.10 0.10 0.10 Battery Charger #1 - Generator Start 0.90 4.33 208 0.10 0.09 0.10 0.09 Battery Charger #2 - Main Engine Electronics 0.90 4.33 208 1.00 0.90 0.10 0.09 Battery Charger #3 - Main Engine Electronics 0.90 4.33 208 1.00 0.90 0.10 0.09 Receptacles - Generator Room 1.60 7.69 208 0.10 0.16 0.10 0.16 Welding Machine #1 10.00 48.08 208 0.00 0.00 0.10 1.00 Receptacles - Engine Room 1.60 7.69 208 0.10 0.16 0.10 0.16 Chest Freezer 0.50 4.17 120 0.10 0.05 0.10 0.05 Water Heater #1 1.50 7.21 208 0.20 0.30 0.20 0.30 Water Heater #2 1.50 7.21 208 0.20 0.30 0.20 0.30 Pantry Lighting and Exhaust Fans 0.50 4.17 120 0.10 0.05 0.10 0.05 Lights - Galley & Hallway 0.50 4.17 120 1.00 0.50 1.00 0.50 Receptacles, Galley 0.88 7.33 120 0.10 0.09 0.10 0.09 Receptacle, Pantries, Hallway, Mess 0.88 7.33 120 0.10 0.09 0.10 0.09 Receptacle, Mess and port Cabins 0.88 7.33 120 0.10 0.09 0.10 0.09 Receptacle, Starboard Cabins and AC Space 0.88 7.33 120 0.10 0.09 0.10 0.09 Exhaust Fans, Receptacles & Lights - Main Deck Heads 0.88 7.33 120 0.50 0.44 0.50 0.44 Air Handlers Main Deck 2.98 8.28 208 0.50 1.49 0.50 1.49 Range Top 6.00 28.85 208 0.20 1.20 0.20 1.20 Oven 6.00 28.85 208 0.20 1.20 0.20 1.20 Lights - Starboard Cabins 0.50 4.17 120 1.00 0.50 1.00 0.50 Range Hood 0.19 1.55 120 0.50 0.09 0.50 0.09 Lights - Mess Room 0.50 4.17 120 1.00 0.50 1.00 0.50 Refrigerator #1 1.25 10.42 120 0.20 0.25 0.20 0.25 Lights - Port Cabins 0.50 4.17 120 1.00 0.50 1.00 0.50 Microwave Oven 0.90 7.50 120 0.20 0.18 0.20 0.18 Coffee Maker 0.67 5.58 120 0.20 0.13 0.20 0.13 Entertainment Circuit #1 0.88 7.33 120 1.00 0.88 1.00 0.88 Entertainment Circuit #2 0.50 4.17 120 1.00 0.50 1.00 0.50 Passenger Lounge Lights #1 0.50 4.17 120 1.00 0.50 1.00 0.50

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Passenger Lounge Lights #2 0.88 7.33 120 1.00 0.88 1.00 0.88 Dish Washer 0.93 7.77 120 0.25 0.23 0.25 0.23 Lights, Exhaust Fans & Receptacles - Upper Deck Heads 0.88 7.33 120 0.50 0.44 0.50 0.44 Lights - Pilothouse #1 0.50 4.17 120 1.00 0.50 1.00 0.50 Lights - Pilothouse #2 0.50 4.17 120 1.00 0.50 1.00 0.50 Air Handlers - Pilothouse 1.49 4.14 208 0.50 0.75 0.50 0.75 Navigation Light Panel #7 0.22 1.83 120 0.36 0.08 0.64 0.14 Radar #1 0.85 7.08 120 1.00 0.85 0.10 12.00 Radar #2 0.85 7.08 120 1.00 0.85 0.10 0.09 Autopilot 1.10 9.17 120 1.00 1.10 0.00 0.00 Floodlight #1 1.00 8.33 120 0.00 0.00 1.00 1.00 Electronic Power Supply #1 0.90 7.50 120 1.00 0.90 0.20 0.18 Floodlight #2 1.00 8.33 120 0.00 0.00 1.00 1.00 Electronic Power Supply #2 0.90 7.50 120 1.00 0.90 0.20 0.18 Floodlight #3 1.00 8.33 120 0.00 0.00 1.00 1.00 Fire Detection Panel 0.20 1.67 120 0.50 0.10 0.50 0.10 Floodlight #4 1.00 8.33 120 0.00 0.00 1.00 1.00 Water Cooler 0.50 4.17 120 0.20 0.10 0.20 0.10 Deck Lights #1 0.50 4.17 120 1.00 0.50 1.00 0.50 Searchlight #1 1.00 8.33 120 1.00 1.00 0.00 0.00 Deck Lights #2 0.50 4.17 120 1.00 0.50 1.00 0.50 Searchlight #2 1.00 8.33 120 0.20 0.20 0.00 0.00 Deck Lights #3 0.50 4.17 120 1.00 0.50 1.00 0.50 Searchlight #3 1.00 8.33 120 0.20 0.20 0.00 0.00 Deck Lights #4 0.50 4.17 120 1.00 0.50 1.00 0.50 Battery Charger - Emergency Radio 0.90 7.50 120 0.10 0.09 0.10 0.09 Windshield Wipers 1.10 9.17 120 0.50 0.55 0.10 0.11 Starboard Side Light #1 0.02 0.17 120 1.00 0.02 1.00 0.02 Starboard Side Light #2 0.02 0.17 120 0.00 0.00 0.00 0.00 Port Side Light #1 0.02 0.17 120 1.00 0.02 1.00 0.02 Port Side Light #2 0.02 0.17 120 0.00 0.00 0.00 0.00 Masthead Light #1 0.02 0.17 120 1.00 0.02 1.00 0.02 Masthead Light #2 0.02 0.17 120 0.00 0.00 0.00 0.00 Stern Light #1 0.02 0.17 120 1.00 0.02 1.00 0.02 Stern Light #2 0.02 0.17 120 0.00 0.00 0.00 0.00 Anchor Light 0.02 0.17 120 0.00 0.00 1.00 0.02 Upper NUC Light 0.02 0.17 120 0.00 0.00 1.00 0.02 Lower NUC Light 0.02 0.17 120 0.00 0.00 1.00 0.02 Fwd Gun 30.00 - - 0.10 3.00 0.10 3.00 Totals 168.74 56.87 58.92

Table 3.5.1 Electrical Load Analysis

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4.0 General Arrangements 4.1 Arrangement Requirements The arrangements of all compartments on the vessel were designed according to the NAVSEA Shipboard Habitability Design Criteria Manual. The vessel was required to have accommodations for a male/female crew of 14, including one C.O. and one X.O. Furthermore, tankage was to be designed to support an endurance of 5 days without replenishment. Margins were applied to the tankage to ensure survivability in the event the endurance duration was exceeded. 4.2 General Arrangements The general arrangement of the ship is provided at the end of section 4.0. The NAVSEA Shipboard Habitability Design Criteria Manual did not specify area requirements for accommodations of vessels this length, so values for 150 foot vessels were used. All decks and machinery spaces, aside from the rudder room, have at least two exits for safety. The berthing was split between decks to avoid one-hit elimination of the crew. The majority of the berthing is located on the first deck, as the below deck space is limited. The galley, mess, lounges, and ammo storage are located below deck. The berthings below deck were placed away from machinery and galley spaces to limit noise and vibration. The galley includes a range, sink, refrigerator, freezer, and microwave, as well as counter space of food preparation. In addition, the galley was located near the machinery room to minimize electrical wiring and piping distances. Lounge areas include a table, chairs, and a television. Ammunition storage was located near the forward gun for accessibility. As required by the NAVSEA Design Manual, the magazine is below the 4 foot waterline depth. Generators, pumps, compressed air components, and the sewage treatment devise were placed in the machinery space aft of the main engine room, with the generators just outboard of the shafts. The water maker was located forward above the potable water tanks. The forward gun foundation was placed near a watertight bulkhead for structural considerations. Exits below deck are located aft, forward, and by way of stairs leading to the first deck. The first accommodation deck includes officer accommodations just below the pilothouse for accessibility. Men’s/women’s heads are also located on the first deck and include equal facilities (i.e. two full heads per sex). The remainder of the crew accommodations are located aft. The total accommodations for the vessel are 14 bunks plus two spare, this allows for an uneven number of female crew. Crew accommodations include two berths (triple bunks were not used due to space limitations), two lockers and a desk. Officer accommodations include a single berth, locker, sink, and desk. The C.O.’s quarters also includes a full head and computer. In general, all berths were located near or aft of midship in order to combat discomfort from roll/pitch/slamming motions. Exits from the first deck are located aft, forward, and by way of stairs leading to the pilothouse.

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The pilothouse has ample visibility and console space and includes a chart table, and water closet and sink. The radio room is located aft of the pilothouse. Exits from the pilothouse are located aft and by way of stairs leading to the first deck. Initially, a stern ramp was desired to provide quick launching of the RIB but after 3-D modeling the set-up, size was found to be limited. The SOLAS approved RIB on the aft deck is 15 feet overall, can carry 6 men at a speed of 25 knots. There is a small crane (1.3 LT @ 11.5 feet max) on the stern deck to launch the RIB and lift miscellaneous objects. 4.3 Tank Arrangement The tank arrangement is given at the end of section 4.0. The paramount requirements for tankage dealt with fuel and potable water. Initially, fuel capacity for the 5-day endurance requirement was calculated for speeds well above the economic speed of 15 knots. This produced values of 10,000 to 15,000 gallons and was abandoned due to lack of space. At the economic speed for the noted endurance, a fuel capacity of 6,021 gallons was necessary (see table 4.3.1). Limited space also led to a change in potable water tankage. In order to permit space and weight savings, the calculated volume of 2,700 gallons was reduced to 1,200 gallons and a 700 gallon/day water maker installed. Tankage was to be located around midships as much as possible in order to promote minimal trimming. Due to the space limitations, it was necessary to distribute the tankage over most of the length of the hull. Fuel was not stored under machinery spaces and day tanks were located adjacent to the main engines. Lube oil and dirty oil tanks were located under the main engines.

FUEL MAIN ENGINE CONSUMPTION @ 15 KNOTS = 20 GPH (gallons/hour) QUANTITY OF MAIN ENGINES 2 GENSET CONSUMPTION PER HOUR = 2.3 GPH QUANTITY OF GENSETS 2.0 TOTAL = 44.6 GPH 1070.4 GPD (gallons/day) FUEL USED IN 5 DAYS = 5352.0 US GALLONS 10 % MARGIN 535.2 US GALLONS 2.5% UNPUMPABLE 133.8 US GALLONS TOTAL REQUIRED = 6021.0 US GALLONS

Table 4.3.1 Fuel Consumption Calculation

POTABLE WATER US NAVY STANDARD = 30 GALLONS/MAN/DAY FOR 16 MEN = 480 US GALLONS FOR 5 DAYS = 2400 US GALLONS 10 % MARGIN 240 US GALLONS 2.5% UNPUMPABLE 60 US GALLONS TOTAL REQUIRED = 2700 US GALLONS

Table 4.3.2 Potable Water Consumption Calculation

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4.4 Floodable Lengths

The minimum spacing between watertight bulkheads was determined from DDS 079-1, the Navy Stability Rules. The engine room compartment was determined first, at a distance of 30% of LOA from the transom. This location was determined using a maximum shafting angle of no more than 150 and the location of engine compartments of existing patrol craft and crewboats. Divisions at the fore and aft ends were minimized to promote survivability while midship compartments were maximized for habitability usage. The particulars used were the fully loaded condition at 4 ft draft (121 LT) and a prescribed 3” margin. Calculating with AutoHydro and plotting the Floodable Lengths Curves in AutoCAD, the aft machinery spaces (0.85 permeability) failed at the design waterline. These spaces would have to either be shortened or the vessel would need to have a lighter displacement. The solution chosen was to decrease the bulkhead distance. This approach proved successful and the Varuna’s bulkhead spacing was finalized with some bulkhead distances shorter than the required minimums. The floodable lengths plot is as follows.

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Figure 4.0.1 Floodable Lengths

27

Figure 4.0.2 Outboard Profile

28

Pilot House

Crew loungeOfficer mess and lounge

StoresUp

WaterHeater

Figure 4.0.3 Plan View

29

0

BL

Figure 4.0.4 Inboard Profile & Tank Plan

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5.0 Weight Estimation

The weight estimate for the Varuna included a combination of calculated values, estimated values, and the required margins for each weight group. Centers of gravity for each item were measured from the general arrangement. Minimal estimation was used when finding the hull structural and superstructure weights, as the sizes of plates and scantlings were known as well as the material properties of 5086 aluminum. 1.5 % of total structural weight was added to compensate for added weight from welding. The margins used for each weight group are given in table 5.0.1. These margins were found in the Procedures Manual for Stability Analysis of US Navy Small Craft, No.6660-99 Rev. A, 1998, for preliminary design. Documented weights were used, when available, for all group components and the weights of remaining items were estimated using values from vessels of similar size, speed, and application. Tankage weight was found using hydrostatics software and appropriate margins. A margin of 10 % was used for fuel and initially for potable water (water capacity was later decreased by use of a water maker in order to promote weight savings). Table 5.0.2 shows all tank capacities and Appendix C includes tank tables for the vessel. Tables 5.0.3 to 5.1.1 show the weight breakdown for each group and table 5.1.2 shows the summary of all groups, including margins. The target weight for the Varuna was 121 LT at the design draft of 4 feet. Referring to the full load condition located in Appendix D, the vessel’s maximum displacement is 114.57 LT, leaving 6.43 LT for miscellaneous weight items to be added in the future (or an additional margin of 5.6%). Additional weight items presented here include crew, stores, ammunition, the RIB, and tankage. The deck crane was included in the lightship weight value. An important note is that all analysis presented in the report were performed at the target weight of 121 LT, not the calculated weight of 114.57 LT. In reality, the weight would probably exceed the 114.57 LT value and 121 LT was used as a worse case scenario.

Weight Group Weight Margin (%) 100 - Aluminum 8 200 - Propulsion 9 300 - Electrical 12 400 – Command/Surveillance 12 500 - Auxiliary 12 600 - Outfit 12 700 - Armament 5 Load Items 2

Table 5.0.1 Design Phase Weight Margins

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Compartment Location Weight Volume LCG TCG VCG(Frame) (LT) (Gal) (FT) (FT) (FT)

Miscellaneous SEWAGE.C 8 - 14 1.8 493.4 19.63 0 1.67LUBEOIL.S 43 - 48 0.8 228.0 75.86 1.64 1.00DIRTYOIL.P 43 - 48 0.8 228.0 75.86 -1.64 1.00Miscellaneous Totals 3.4 949.4 46.09 0 1.35

Potable WaterFRESHWATER.S 14 - 20 2.4 635.2 28.54 1.83 1.95FRESHWATER.P 14 - 20 2.4 635.2 28.54 -1.83 1.95Potable Water Totals 4.8 1270.4 28.54 0 1.95

Fuel OilFUELOIL1.S 20 - 38 3.8 1159.9 48.51 1.78 1.32FUELOIL2.P 20 - 38 3.8 1159.9 48.51 -1.78 1.32FUELDAY.S 38 - 43 1.88 579.05 67.04 2.36 1.54FUELDAY.P 39 - 43 1.88 579.05 67.04 -2.36 1.54FUELOIL3.S 63 - 65 4.1 1273.8 106.67 4.60 3.88FUELOIL4.P 63 - 65 4.1 1273.8 106.67 -4.60 3.88Fuel Oil Totals 19.56 6025.5 76.45 0 2.44References:LCG - from FPVCG - from BL

Table 5.0.2 Tank Capacity Summary

SWBS DESCRIPTION WEIGHT VCG VERT-MOM LCG LONG-MOMGRP (LT) (FT) (FT*LT) (FT) (FT*LT)

100 HULL STRUCTURE101 Superstructure 3.85 17.00 65.45 71.00 273.35102 Deck plating 5.87 9.87 57.96 62.84 369.08103 Bottom plating 9.44 1.83 17.22 64.46 608.19104 Shell plating 4.38 7.00 30.64 58.51 256.05105 Transom plating 0.47 4.98 2.32 113.90 53.10106 0.29" T deck 3.54 9.38 33.18 62.84 222.19107 0.25" T side 2.12 6.76 14.34 58.51 124.20108 0.25" T bottom 3.40 1.93 6.56 64.46 218.95109 Keel plating 1.18 0.83 0.98 64.46 76.11110 Frame x 28 aft section 2.81 6.13 17.19 100.84 283.06111 Frame x 15 around midships 1.52 5.57 8.44 61.68 93.51111 Frame x 10 fwd of midships 0.87 6.77 5.89 26.09 22.71111 Frame 0.07 7.54 0.50 15.08 1.01111 Frame 0.06 7.83 0.48 13.41 0.82111 Frame 0.05 8.17 0.45 11.75 0.65111 Frame 0.05 8.56 0.41 10.08 0.48111 Frame 0.04 8.94 0.36 8.42 0.34111 Frame 0.03 9.35 0.30 6.75 0.22111 Frame 0.02 9.77 0.23 5.08 0.12111 Frame 0.01 10.24 0.15 3.42 0.05111 Frame 0.00 10.82 0.04 1.75 0.01112 Bulkhead 0.41 5.10 2.11 105.00 43.43112 Bulkhead 0.43 5.33 2.30 91.58 39.54112 Bulkhead 0.45 5.63 2.52 71.67 32.05112 Bulkhead 0.43 6.17 2.65 43.33 18.64112 Bulkhead 0.33 6.58 2.15 23.33 7.61112 Bulkhead 0.17 7.71 1.34 13.33 2.31113 1.5% Welding 0.63 9.90 6.24 65.50 41.27

TOTAL 42.63 6.62 282.41 65.43 2789.05 Table 5.0.3 Hull Structure Weight

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200 PROPULSION SYSTEM233 Propulsion engines 15.18 3.93 59.66 81.83 1242.18241 Reverse/Reduction gears 2.24 1.02 2.28 99.58 223.06243 Shafts 0.38 -0.29 -0.11 99.76 37.91244 Shaft bearings 0.10 0.00 0.00 98.22 9.63245 Propellers 0.48 -2.76 -1.33 112.70 54.32252 Engine control system 0.06 18.30 1.17 61.10 3.91256 Water cooled piping 0.12 5.70 0.69 81.40 9.85259 Exhaust piping 0.26 12.70 3.30 81.40 21.16259 Exhaust insulation 0.05 12.70 0.57 81.40 3.66260 Engine coolant 0.25 4.08 1.02 80.97 20.24261 Engine lube oil 0.06 4.08 0.24 90.97 5.46262 Struts 0.09 -0.50 -0.05 104.30 9.39263 Rudders 0.33 -2.16 -0.71 110.20 36.37

TOTAL 19.60 3.41 66.74 85.57 1677.13 Table 5.0.4 Propulsion System Weight


300 ELECTRIC PLANT311 Service generators 1.95 3.05 5.95 83.00 161.85313 Batteries, main engine 0.07 4.08 0.29 74.40 5.28313 Battery, genset start 0.07 4.08 0.29 88.50 6.20313 Batteries, ship electronics 0.04 17.07 0.60 76.20 2.67321 Cable and wiring 0.71 9.77 6.98 66.66 47.60324 Distribution panels 0.06 8.05 0.50 72.00 4.50332 Light fixtures 0.10 13.31 1.33 59.23 5.92342 Generator coolant 0.13 3.05 0.41 83.00 11.12342 Generator exhaust pipe 0.03 3.05 0.08 89.00 2.23342 Generator fuel oil system 0.02 3.05 0.05 87.00 1.39342 Generator mufflers 0.02 3.05 0.06 89.00 1.87398 Generator lube oil 0.01 3.05 0.02 83.00 0.66

TOTAL 3.21 5.16 16.55 78.37 251.28 Table 5.0.5 Electric Plant Weight


400 COMMAND AND SURV422 Searchlights 0.03 22.80 0.68 61.39 1.84422 Navigation lights 0.04 22.10 0.80 61.39 2.21422 Navigation system 0.30 18.30 5.49 63.31 18.99424 Depth sounder 0.01 18.30 0.24 61.10 0.79432 Telephone system 0.32 12.73 4.07 79.66 25.49436 Alarm and safety 0.10 18.30 1.83 63.31 6.33441 Radio systems 0.50 12.73 6.37 79.66 39.83443 Audible communications 0.10 12.73 1.27 79.66 7.97451 Radar 0.45 18.30 8.24 63.31 28.49

TOTAL 1.85 15.68 28.98 71.36 131.95 Table 5.0.6 Command and Surveillance Weight

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500 AUXILIARY SYSTEM512 Gally ventilation 0.01 12.78 0.10 72.94 0.58513 Engine room ventilation 0.14 12.78 1.81 66.19 9.40513 Genset ventilation 0.05 12.78 0.59 72.94 3.36514 Air conditioning units 0.08 4.08 0.33 87.00 6.96514 Air conditioning piping 0.04 13.31 0.53 59.23 2.37521 Fire pump 0.06 3.16 0.20 74.36 4.76521 Fire stations 0.04 9.77 0.35 66.66 2.40521 Firemain piping 0.07 9.76 0.71 62.34 4.55525 Forepeak.C 0.00 0.00 0.00 0.00 0.00525 Sewage.S 0.00 0.00 0.00 0.00 0.00525 Sewage.P 0.00 0.00 0.00 0.00 0.00525 Lubeoil.S 0.00 0.00 0.00 0.00 0.00525 Dirtyoil.P 0.00 0.00 0.00 0.00 0.00525 Freshwater.S 0.00 0.00 0.00 0.00 0.00525 Freshwater.P 0.00 0.00 0.00 0.00 0.00525 Fueloil1.S 0.00 0.00 0.00 0.00 0.00525 Fueloil2.P 0.00 0.00 0.00 0.00 0.00525 Fuelday.S 0.00 0.00 0.00 0.00 0.00525 Fuelday.P 0.00 0.00 0.00 0.00 0.00525 Fueloil3.S 0.00 0.00 0.00 0.00 0.00525 Fueloil4.P 0.00 0.00 0.00 0.00 0.00529 Bilge pump 0.07 1.50 0.10 81.00 5.27529 Bilge piping 0.13 1.00 0.13 65.50 8.19529 Oily water seperator 0.04 7.22 0.30 97.30 4.09551 Compressed air piping 0.03 9.25 0.25 87.00 2.35551 Air compressors 0.10 7.10 0.73 98.20 10.11555 Fire extinguishers 0.03 9.77 0.33 66.66 2.27561 Steering controls 0.07 18.92 1.27 60.30 4.04561 Steering cylinders 0.03 4.81 0.15 107.60 3.34561 Steering hydraulic oil 0.15 1.30 0.20 107.60 16.36562 Watermaker 0.30 2.30 0.69 26.10 7.83

TOTAL 1.44 6.11 8.77 68.44 98.21 Table 5.0.7 Auxiliary System Weight


600 OUTFIT AND FURNISHINGS641 Officer furnishings 0.80 5.18 4.14 48.97 39.18643 Enlisted berthing 2.29 5.35 12.25 22.20 50.84644 Gally space 1.10 5.82 6.40 65.38 71.92645 Head space 1.00 5.25 5.25 32.16 32.16662 Pilothouse consoles 0.08 18.30 1.46 61.10 4.89674 Liferafts 0.09 12.51 1.11 61.20 5.45

TOTAL 5.36 5.71 30.62 38.15 204.43 Table 5.0.8 Outfit and Furnishings Weight


700 ARMAMENT711 (2) x .50 Caliber gun 0.08 18.90 1.51 89.00 7.12712 35 mm gun 3.79 12.60 47.75 36.90 139.85713 .50 Caliber Ammunition 0.00 0.00 0.00 0.00 0.00714 35 mm Ammunition 0.00 0.00 0.00 0.00 0.00

TOTAL 3.87 12.73 49.27 37.98 146.97 Table 5.0.9 Armament Weight

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MISC CARGO15' RIB 0.00 0.00 0.00 0.00 0.00Crane 0.50 15.00 7.50 97.00 48.50Crew/Effects 0.00 0.00 0.00 0.00 0.00Stores 0.00 0.00 0.00 0.00 0.00TOTAL 0.50 15.00 7.50 97.00 48.50

Table 5.1.0 Misc Cargo Weight


SUMMARY GROUPS (1-7)100 HULL STRUCTURE 42.63 6.62 282.41 65.43 2789.05200 PROPULSION SYSTEM 19.60 3.41 66.74 85.57 1677.13300 ELECTRIC PLANT 3.21 5.16 16.55 78.37 251.28400 COMMAND AND SURVEILLANCE 1.85 15.68 28.98 71.36 131.95500 AUXILIARY SYSTEM 1.44 6.11 8.77 68.44 98.21600 OUTFIT AND FURNISHINGS 5.36 5.71 30.62 38.15 204.43700 ARMAMENT 3.87 12.73 49.27 37.98 146.97

MISC CARGO 0.50 15.00 7.50 97.00 48.50TOTAL 78.45 6.26 490.86 68.17 5347.52

Table 5.1.1 Lightship Weight Summary

SWBS SUMMARY GROUPS (1-7) WEIGHT MARGIN VCG LCGTOTAL WEIGHT

(INCL. MARGINS)GRP (LT) (%) (FT) (FT) (LT)100 HULL STRUCTURE 42.63 0.08 6.62 65.43 46.04200 PROPULSION SYSTEM 19.60 0.09 3.41 85.57 21.36300 ELECTRIC PLANT 3.21 0.12 5.16 78.37 3.59400 COMMAND AND SURVEILLANCE 1.85 0.12 15.68 71.36 2.07500 AUXILIARY SYSTEM 1.44 0.12 6.11 68.44 1.61600 OUTFIT AND FURNISHINGS 5.36 0.12 5.71 38.15 6.00700 ARMAMENT 3.87 0.05 12.73 37.98 4.06

MISC CARGO (crane only) 0.50 0.00 15.00 97.00 0.50TOTAL 78.45 6.26 68.17 86.59

Table 5.1.2 Lightship Weight Summary with Margins

35

6.0 Intact and Damaged Stability

Stability in both the intact and damaged conditions represents a significant aspect of the design of the Fast Patrol Craft. Design Data Sheet DDS 079-1 “Stability and Buoyancy of U.S. Naval Surface Ships” was the governing regulation and guided the design throughout this portion of the project while AutoHydro 6.0.1 was the primary software for all calculations.

6.1 Intact Stability

Due to the nature of this fast patrol craft, certain stability criteria required by the Navy did not need to be met. Heavy lifting, towline force, passenger crowding, and topside icing are all criteria that do not affect this design in that, through the operational life, the vessel will not experience these forces. The small crane on the aft deck was not large enough to warrant a stability check. The overturning moment calculations for the crane can be seen in Appendix D. However, wind heeling arms and the effects of high speed turns will be very important and were used as the governing intact stability criteria using multiple loading scenarios. The scenarios used were lightship; full load or departure condition, which entails fuel and water tanks pressed and full stores; and minimum operating conditions in which only 10% of the stores, fuel, and potable water are left. All three of the above conditions are detailed as to the state of all tanks and provisions in DDS 079-1. Calculating maximum VCG curves for the wind and high speed turning moments were useful to visually see the limits that can be imposed on the vessel. The heeling arm due to wind is expressed as follows:

Table 6.1.1 Wind Heeling Moment Variables

Using conservative values for projected sail area (A), lever arm (L), displacement (∆), and the DDS 079-1 value for wind velocity (V) a conservative estimate of the wind-heeling arm was obtained and calculated in Table 6.1.2. against the intact criteria given below.

HMMTWIND = 103.18 ft-LTHAWIND = 0.85 ftA = 1019.68 ft2

L = 5.67 ftV = 100.00 kts∆ = 121.00 LTθ = 0.00 degrees

36

Table 6.1.2 Wind Heeling Maximum VCG Values The heeling arm due to high-speed turns is expressed as follows:

Table 6.1.3 High Speed Turn Moment Variables

Again, using conservative values for distance between ship’s center of gravity and center of lateral resistance (a), turning radius (R), and speed (30 knots) (V), the heeling moment due to a high speed turn was obtained and calculated in Table 6.1.4 against the intact criteria given below.

HMMTHSTURN = 179.09 ft-LTHAHSTURN = 1.480 fta = 11 ftR = 263 ftV = 33.8 ft/sg = 32.2 ft/s2

θ = 0 degrees

37

Table 6.1.4 High Speed Turn Maximum VCG Values A combined graph of both heeling moments and their maximum vertical centers of gravity, plotted against draft, are as follows:

Figure 6.1.1 Maximum Allowable VCG (Intact) vs. Draft Graph

38

The next step was to calculate the stability criteria at the loading scenarios outlined in DDS 079-1, and defined previously, of lightship, full load and minimum operating conditions. By graphing the different loading conditions against a combined maximum VCG vs. draft graph it is apparent that all of the scenarios meet and exceed the Navy’s intact stability requirements. A KG margin of approximately one foot is noted in figure 6.1.2, where the Navy requires a margin of 0.3 feet.

Figure 6.1.2 Combined Maximum Allowable VCG (Intact) with Conditions

6.2 Damaged Stability The next step was to calculate the different loading conditions in various damaged scenarios and then plot these on a maximum vertical center of gravity graph to finalize the overall stability of the vessel according to the Navy’s requirements. The two compartment damage scenarios deemed the most conservative and debilitating, assumed flooding from side shell to side shell in each space and the asymmetric flooding of any cargo tanks present. In each scenario, the same loading conditions outlined above were used The scenarios used were:

39

1 & 2 Damage to the Forepeak and Stores Compartments including the centerline sewage tank. 2 & 3 Damage to the Stores and Ammunition Storage Compartments including the centerline sewage and starboard freshwater tanks. 3 & 4 Damage to the Ammunition Storage and Crew Compartments including the starboard freshwater, fuel and day tanks. 4 & 5 Damage to the Crew and Engine Compartments including the starboard fuel, day and lube oil tanks. 5 & 6 Damage to the Engine and Generator Compartments including the starboard lube oil tank. 6 & 7 Damage to the Generator and Steering Compartments including the starboard aft fuel tank. The damaged stability criteria set forth in DDS 179 is an extension of the Wind Heeling Criteria used in the intact stability section but with a decreased wind speed. The damaged heeling arm due to wind is expressed as follows:

Table 6.2.1 Damaged Wind Heeling Moment Variables Using conservative values from the earlier wind heeling moment calculation of projected sail area (A), lever arm (L), displacement (∆), and the newly determined DDS 079-1 value for damaged wind velocity (V) a conservative estimate of the damaged wind-heeling arm was obtained and calculated against the damaged criteria. A combined graph of the heeling moment and their maximum vertical centers of gravity, plotted against draft, are as follows:

HMMTDAMAGE = 4.55 ft-LTHADAMAGE = 0.04 ftA = 1019.68 ft2

L = 5.67 ftV = 21.00 kts∆ = 121.00 LTθ = 0.00 degrees

40

Figure 6.2.1 Maximum Allowable VCG (Damage) vs. Draft Graph

The next step was to calculate the stability criteria at the loading scenarios

outlined earlier. Using the original, intact drafts and the different loading conditions against a combined maximum VCG graph it is apparent that all of the scenarios meet and exceed the Navy’s damage stability requirements.

Figure 6.2.2 Maximum Allowable VCG (Damage) vs. Draft Graph

41

Another important consideration with damaged stability is to ensure the margin line is not immersed at each condition and scenario. The deepest draft graphed against the margin line shows that the vessel does not sink below this important line thereby confirming the safety of the ship in all damaged conditions.

Figure 6.2.3 Margin Line Immersion Graph

42

7.0 Structures 7.1 Materials

The structures of the 115 ft patrol craft Varuna were designed around the ABS rules designated Guide for Building and Classing High Speed Naval Craft 2003. These rules were used to calculate the minimum acceptable criteria for the hull members. The hull is to be made of aluminum. Hull plating and scantlings will all be made of aluminum alloy 5086 H – 111. This a standard aluminum alloy used in the shipbuilding industry. Table 7.1.1 gives the accepted yield stress, ultimate stress and shear stress values for this material. The book Structural Aluminum Design (Angermayer, 1987) was consulted for properties of typical aluminum members for the midship section.

σy= 27000 psiσu= 40000 psiτ = 23000 psi

Table 7.1.1 Properties for 5086H-111 Aluminum

7.2 Plating

Table 2 gives the calculation of the bottom slamming pressure (ABS 3.2.2.1.1.2) used to determine the minimum thickness of the hull plating. The effective breadth of plating for aluminum members is taken as sixty times the thickness of the web of the member. This established the distance between centers of the longitudinal members. The frames were spaced at a typical distance of 20 inches. From these two measurements the design area of the plating was calculated. The design area is divided by the ABS reference area (AR) and the value of the quotient is found in ABS 3.2.2/Figure 6, which is the design area factor (FD). The constant N1 is defined as 0.069. The vertical acceleration distribution factor was taken to be unity in order to get the maximum effect of the hull’s acceleration. The vertical acceleration of the hull was calculated by the formula for maximum vertical acceleration (equation 1) given in 3.2.2.1.1 of the ABS rules, where kn is defined as 0.256.

( )( )ftLktsVkn ncg += 39.1 eqn. 1

43

N1 0.069FD = AD / AR 0.92AR =1.61(∆/d) 106388.8f = trans. frame spacing (in) 20s = long. spacing (in) 15AD = s*f 300Max. AD = 2.5 s2 562.5AD/AR 0.002819846

FV 1

pbxx (psi) = 37.63976315

pbxx = (N1∆)/(LwBw)[1+ncg]FDFv

Table 7.2.1 ABS Bottom Slamming Pressure

From the design bottom slamming pressure the minimum thickness of the plating was calculated by use of the formula in section 3.2.3.1.3 and is given in Table 7.2.2. In addition, four other thickness criteria were evaluated based on the length of the vessel and the quality of the plating construction material and are given in Tables 7.2..3 –6 .

k = 0.5 aspect ratiot = 0.417442 in

t = s√((p*k)/σa)

Table 7.2.2 Minimum Plate Thickness

t = 0.161963 int = 0.015√(L * q)+0.04

Table 7.2.3 Minimum Bottom Plate Thickness

t = 0.145701 int = 0.013√(L * q)+0.04

Table 7.2.4 Minimum Strength Deck Thickness

t = 0.12944 int = 0.011√(L * q)+0.04

Table 7.2.5 Minimum Internal Deck Thickness

t = 0.145701 int = 0.013√(L * q)+0.04

Table 7.2.6 Minimum Side Shell Thickness

44

The ABS calculated plate thickness were deemed to be too low to fulfill the minimum inertia of the hull girder (explanation and calculation to follow) and were increased to meet this requirement.

7.3 Scantlings

As a starting point to the selection of structural members the minimum web thickness of said members was calculated by the equation 2 (3.2.4.1.9): where p is the design pressure, s is the longitudinal member spacing, l is the frame spacing, dw depth of the web, and τ is the shear stress of the material. It should be noted that this and the plate pressure calculation are an iterative process, where members were selected and calculations preformed given their effective plating width and web depth until all variables pass the criteria.

( )

( )τ5.02144

××××

=wd

lspt eqn. 2

This allowed for a more accurate sectional modulus calculation. In section 3.2.4.3.5, ABS gives minimum section modulus criteria for the member about its own neutral axis and a minimum inertia of the member and the attached effective plating. These calculated values are found in Tables 7.3.1 and 2. For the section modulus calculation, the yield stress of the material was multiplied by a factor depending on the stiffener location given in 3.2.4.1.1.3. The K4 coefficient is also location specific and is given in 3.2.4.3.5.2.

σa bottom 17550σa shell 16200σa deck 20250SM bottom 1.07235792 in3

SM shell 1.16172108 in3

SM deck 0.92937687 in3

SM = (144*p*s*l2)/σa

Table 7.3.1 ABS minimum member section modulus

K4 shell 0.0021K4 deck 0.0018

E 10000000 psiI shell = 0.56011552 in4

I deck = 0.65346811 in4

I = (54p*s*l3)/(K4*E)

Table 7.3.2 ABS minimum member inertia with effective plating

45

Split 10” x 6” I - beams of 0.25 and 0.29 inch web thickness were used in the side and bottom plates as longitudinal stiffeners. Due to the orientation of the Tees on the side and bottom plates, and the side and bottom plates themselves, the inertial properties at an incline needed to be calculated. The inertia was calculated about the Z and Y axes and then the product of inertia was found. From these values the inertia due to rotation of axes was calculated for the members at any give angle by:

αα 2sin2cos22' yz

zyzyy I

IIIII −

−+

+= eqn. 3

αα 2sin2cos22' yz

zyzyz I

IIIII +

−−

+= eqn. 4

A comparison of the required section modulus and inertia of the selected members

is as follows in Table 7.3.3 and 4.

SM y ABS SM1.735017 1.161721

SM ABS SM15.86604 0.929377

5 x 6 x 0.25 T beam

5 x 6 x 0.29 T beam

Table 7.3.3 ABS vs. empirical section modulus

I' y ABS min I173.0458 0.560116

I y ABS min I57.61061 0.653468

Angled T beam with sideshell plate

Deck T beam with plate

Table 7.3.4 ABS vs. empirical inertia

7.4 Hull Girder Sectional Modulus and Inertia

The sectional modulus minimum due ship geometry and to the calculated still

water, hogging wave, sagging wave, and slamming moments were calculated from the ABS formulas in section 3.2.1. These values are given in Tables 7.4.1 through 7.4.6.

46

C1 = 0.0134L+3.75 5.1570C2 0.0001BWL 17.8200 ftLWL 105.0000 ftCb 0.4430K3 = 0.7+0.3((V/SQRT(L))/1.3) 1.6008C 0.9000Q = 0.9+q5 1.5296

Note: Q > Q0 = 92000/(σy+σu) = 1.373

q5 = (17000/σy) 0.6296V (kts) 40.0000Displacment at DWL (LT) 118.0000draft (d) at load 4.0000 ft

SM = 367.5077 ft - in2

SM = 4410.0919 in3

SM = C1C2L2B(CB+0.7)K3CQ

Table 7.4.1 SM criteria for all high speed craft

Mt (largest of the following) = 3938.41Msl = 3938.41

Mswhog + Mwhog = 1503.86 - Mswsagg - Mwsag = -1188.17

fp = 11.33 Ltf/in2

SM = 478.5419136 in2-ftSM = 5,742.50 in3

SM=(MtCQ)/fp

Table 7.4.2 SM craft 79 ft and over

K1 1.0260Mwsagg = -1,188.17 LT-ftMwsagg = -34,219,172.90 lb - in

Mwsagg = - K1C1L2B(Cb+0.7) x 10-3

Table 7.4.3 Wave Moment Sagging

K2 1.7720Mwhog = 795.34 LT-ftMwhog = 22,905,689.05 lb - in

Mwhog = + K2C1L2BCb x 10-3

Table 7.4.4 Wave Moment Hogging

47

fp (LT/in2) 11.3300Mswhog = 708.52 LT-ftMswhog = 20,405,433.10 lb - in

Mswsagg = 0Mswhogg = 0.375 fp C1C2L

2B(Cb+0.7)

Table 7.4.5 Wave Moment Still Water

C3 0.1250ls = Ar/Bwl 41.3861Ar = (25∆/d) 737.5000ncg = 1.39+kn[V/sqrt(L)] 3.1974kn 0.4630

Msl = 3,938.41 LT-ftMsl = 113,426,252.24 lb - in

Msl = C3∆(1+ncg)(L-ls)

Table 7.4.6 Slamming Moment

Using the greater of these two sectional modulus calculations, the minimum overall hull girder inertia (ABS 3.2.1.5) was calculated in Table 7.4.7, where K is a factor based on hull material and craft length (ABS 3.2.1.5/Table 2).

Table 7.4.7 Minimum Hull Girder Inertia

K 5.93I = 6154.96788 ft2 - in2

I = 886,315.37 in4

I = (L/QC)(SM/K)

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7.5 Midship Section The midship section was rendered in Rhino and is found in Figure 1 below. The scantlings were added with appropriate spacing. Using the scale drawing, the distance of the scantlings from the base line was determined from this the position of the neutral axis was found based on the sum of the moments of the items divided by there total area. The parallel axis theorem was used to transfer the inertia of each item to the neutral axis of the ship midsection. The total inertia of the midship section was divided by the distance to the outer most fiber, in this case the weather deck and the base line. This gave the sectional modulus of the midship section and can be found in Table 19.

Figure 7.5.1 Midship Section

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Item No. length (in) thickness (in) area (in2)

I (in4)about owncentroid

centroid (from base of item)

y (base line tobottom of item) y bar Total area

moment(ay)

I (in4) about N.A.

upper side shell 2 80.375 0.500 132.960 21191.439 39.774 42.280 82.054 265.920 21819.700 97571.09lower side shell 2 121.930 0.750 91.448 9866.179 17.987 0.000 17.987 182.895 3289.765 470778.13weather deck 1 265.920 0.438 116.340 1.856 0.219 118.477 118.695 116.340 13809.005 303169.28lower side shell beams5 x 6 x 0.25 in T beam 2 3.608 7.000222228 3.262 2.250 5.512 7.215 39.772 27869.455 x 6 x 0.25 in T beam 2 3.608 7.000222228 3.262 6.910 10.172 7.215 73.394 23847.935 x 6 x 0.25 in T beam 2 3.608 7.000222228 3.262 11.790 15.052 7.215 108.603 19972.455 x 6 x 0.25 in T beam 2 3.608 7.000222228 3.262 16.860 20.122 7.215 145.183 16310.055 x 6 x 0.25 in T beam 2 3.608 7.000222228 3.262 22.110 25.372 7.215 183.062 12908.535 x 6 x 0.25 in T beam 2 3.608 7.000222228 3.262 27.530 30.792 7.215 222.167 9814.125 x 6 x 0.25 in T beam 2 3.608 7.000222228 3.262 33.050 36.312 7.215 261.994 7098.325 x 6 x 0.25 in T beam 2 3.608 7.000222228 3.262 38.710 41.972 7.215 302.831 4770.20upper side shell beams 0.0005 x 6 x 0.25 in T beam 2 3.608 7.376676527 0.0293252 51.300 51.329 7.215 370.341 1935.985 x 6 x 0.25 in T beam 2 3.608 7.376676527 0.0293252 66.150 66.179 7.215 477.484 30.315 x 6 x 0.25 in T beam 2 3.608 7.376676527 0.0293252 80.990 81.019 7.215 584.554 1304.845 x 6 x 0.25 in T beam 2 3.608 7.358749288 0.420774 95.660 96.081 7.215 693.223 5847.705 x 6 x 0.25 in T beam 2 3.608 7.321717121 0.9347995 109.810 110.745 7.215 799.024 13415.635 x 6 x 0.29 in T beam 14 4.305 8.459 1.008 111.590 112.598 60.270 6786.272 121896.03keel beam 1 20.000 1.000 20.000 666.667 2.000 0.000 2.000 20.000 40.000 86858.51

Σ area = 739.220Σ moment= 50,006.37 Σ I = 1,225,398.55

N.A. (in) 67.647 SMb = 18,114.473 in3

SMd = 21,975.310 in3

Table 7.5.1 Section modulus calculation

7.6 Shear and Bending Moments Once the section modulus was found the ship model (geometry file) was run through Auto Hydro to give still water, hogging and sagging wave bending moments based on the weight distribution that was estimated from the general arrangement. This produced three graphical summaries (Figures 1 through 3) of the load distribution, shear force and bending moment on the hull form.

50

Longitudinal Strength

<---Aft (Feet) Fwd--->100.0a 50.0a 0.0a

-100.0

-50.0

0.0

50.0

100.0Weight x .1Buoy. x .1Shear x .1B.M. x 2.5

Figure 7.6.1 Full load Still Water Conditions


<---Aft (Feet) Fwd--->100.0a 50.0a 0.0a

-100.0

-50.0

0.0

50.0

100.0Weight x .1Buoy. x .1Shear x 1.0B.M. x 10.0

Figure 7.6.2 Full Load Hogging Wave

51


<---Aft (Feet) Fwd--->100.0a 50.0a 0.0a

-100.0

-50.0

0.0

50.0


Figure 7.6.3 Full Load Sagging Wave


<---Aft (Feet) Fwd--->100.0a 50.0a 0.0a

-100.0

-50.0

0.0

50.0

100.0Weight x .1Buoy. x .1Shear x .2B.M. x 2.5

Figure 7.6.4 Min. Op. Still Water Conditions

52


<---Aft (Feet) Fwd--->100.0a 50.0a 0.0a

-100.0

-50.0

0.0

50.0


Figure 7.6.5 Min. Op. Hogging Wave

Longitudinal Strength<---Aft (Feet) Fwd--->

100.0a 50.0a 0.0a

-100.0

-50.0

0.0

50.0


Figure 7.6.6 Min. Op. Sagging Wave

The maximum moment of the was taken from each of these figures and the stress at the deck and at the base line calculated by dividing the maximum moment by the section are

53

modulus. The stress was converted to pounds per square inch in order to compare it to the yield stress of the selected aluminum alloy and a factor of safety was determined. The ABS shear calculations (tables 7.6.1-2) were run for comparison to the actual values from AutoHydro. These values are found in Table 7.6.3 below.

k 0.2797F1 1F2 0.92

Fwp = 308.4841 LT-ftFwn = -283.8054 LT-ft

Fwp = +kF1C1LB(Cb+0.7)x10-2

Fwn = -kF2C1LB(Cb+0.7)x10-2

Table 7.6.1 ABS Wave Shearing Force

C4 0.5Fsl = 247.6446 LT-ft

Fsl = C4∆(ncg+1)

Table 7.6.2 ABS Slamming Shear

Calculated Max Shear (LT) Max Moment (LT ft) Stress at deck (psi) Stress at bottom (psi)

yield of Aluminum Alloy 5086 H - 111 Factor of safety

Still water 10.07 163 199.38 259.15 27000 104.19Hogging 27.93 630 770.61 1001.63 27000 26.96Sagging -30 -695 -850.12 -1104.97 27000 24.43

Calculated Max Shear (LT) Max Moment (LT ft) Stress at deck (psi) Stress at bottom (psi)


Still water 7.08 164 200.60 260.74 27000 103.55Hogging Wave 26.6 710 868.47 1128.82 27000 23.92Sagging Wave -31.11 -730 -892.93 -1160.62 27000 23.26

ABS Max Shear (LT) Max Moment (LT ft) Stress at deck (psi) Stress at bottom (psi)


Slamming ABS 247.64 3938.41 4817.43 6261.64 27000 4.31Hogging ABS -283.81 795.34 972.85 1264.50 27000 21.35Sagging ABS 308.48 -1188.17 -1453.35 -1889.05 27000 14.29Still Water ABS 708.52 866.66 1126.47 27000 23.97

Min. Op. Condition

Full Condition

Full Condition

Table 7.6.3 Allowable stress due to moment and shear analysis

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8.0 Seakeeping Analysis Seakeeping for the Varuna was explored using Powersea, a motions program for planing and semi-planing hulls. For this analysis, head seas (irregular waves) were used for various sea states at various velocities. Output included pitch, heave, bow accelerations, CG accelerations, and surge. It was desirable to compare the data to all PNA values (vol. III, p.143) for Navy monohulls, but slamming frequency and deck wetness frequency proved to be difficult to get from Powersea. Motion sickness incidence, CG vertical accelerations, and pitch angle were compared to PNA criteria for the sea states the vessel would most likely operate in. Also performed was a comparison to model test values of a similar vessel design. The comparison values were obtained from a design project done by the USCG during the development of the 110’ WPB: USCG Conceptual Design of an Offshore Patrol Boat; Cohen, Ghosh, Dodge, McEachen; 1985. As shown in table 8.1.1, PNA values for Navy monohulls taken from Olson (1977) and Comstock et al. (1980) were used as baseline comparison values for vertical accelerations, pitch, and motion sickness incidence. Tests were performed in Powersea for speeds and sea states the vessel would likely encounter. It can be seen in table 8.1.1 that the vessel exceeds recommended values for all parameters in sea state 3 and those of vertical acceleration at 20 knots in sea state 2. The PNA states that vertical accelerations nowhere on the vessel are to exceed 0.2 g’s in order to combat discomfort of the crew. The values presented in table 8.1.1 for vertical acceleration were all measured at the bow of the Varuna and CG values were considerably less, as expected. With all berthing, the pilot house, and all crew recreational areas away from the bow, it is unlikely the crew would experience the accelerations noted in table 8.1.1. Nonetheless, the PNA rules were adhered to. The failure to meet the recommended values points to the need for hull design evaluation, perhaps more deadrise further aft. Low-speed performance was acceptable up to 15 knots in sea state 3. Speed (knots) 15 15 20 20 40 PNA Sea state 2 3 2 3 2 Criteria Vertical Accel (g) 0.2 0.43 0.22 0.45 0.2 0.2 Pitch (deg) 0.82 2.5 0.9 2.29 0.34 1.5 Motion Sickness Incidence

7.2% in 2 hrs.

20.8% in 2 hrs.

10.1% in 2 hrs.

20.8% in 2 hrs.

9.5% in 2 hrs.

20% in 2 hrs.

Table 8.1.1 PNA Motions Criteria vs. Varuna Output - Irregular Seas. For further performance feedback, the Varuna’s output was compared to model test data taken from a USCG patrol boat design. The comparison hull was a 118’ double-chine, semi-planing vessel. Analysis was again performed for irregular head seas for varying sea states. As noted in tables 8.1.2 and 8.1.3, the Varuna had larger bow acceleration values than that of the WPB (which was attributed to the double-chine hull form), but all values were very similar. Of interest was the fact that the WPB design also exceeded the recommended PNA values in many cases. Ideally, comparisons should be made from a

55

model test of the Varuna to that of the 118’ WPB, but some instance of comparison was desired.

Average of 1/3 Highest Average of 1/10 Highest Sea State 3 5 5 3 5 5 Speed (kts) 28 20 15 28 20 15 Wave Height (ft) Double Amplitude 2.77 10.5 10.4 3.53 13.4 13.3 Pitch (deg) Single Amplitude 1.94 6.55 8.038 2.1644 7.285 10.962 Heave (ft) Single Amplitude 1.2996 4.759 4.84 1.7506 6.148 5.937 Bow Accel. (g) Single Amplitude 0.5105 2.14 1.25 0.6489 3.426 1.6362 CG Accel. (g) Single Amplitude 0.2295 0.524 0.333 0.25011 0.824 0.414

Table 8.1.2 USS Varuna Seakeeping Data – Irregular head seas.

Average of 1/3 Highest Average of 1/10 Highest Sea State 3 5 5 3 5 5 Speed (kts) 28 20 15 28 20 15 Wave Height (ft) Double Amplitude 2.77 10.5 10.4 3.53 13.4 13.3 Pitch (deg) Single Amplitude 1.5 9.24 8.86 1.92 11.8 11.3 Heave (ft) Single Amplitude 1.3 4.81 4.88 1.66 6.13 6.22 Bow Accel. (g) Single Amplitude 0.487 1.56 1.05 0.766 2.45 1.65 CG Accel. (g) Single Amplitude 0.271 0.596 0.506 0.426 0.937 0.795

Table 8.1.3 118’ WPB Model Data – Irregular head seas. I t was intended to also run tests at rest in various sea states to assess survivability and rolling motions due to beam seas. With much of a patrol craft’s time spent at rest, on station, rolling was an issue to be addressed. Powersea would not permit a zero velocity condition so the conditions shown in tables 8.1.2 and 8.1.3 were the only conditions tested. A sample of the output from Powersea is given in Appendix F.

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9.0 Cost Analysis Using the Excel-based Naval Combatant Cost Model (NCCM) developed by NAVSEA, and provided to the group by Dr. Whitcomb, a cost analysis was performed on the patrol craft Varuna. Since the program was originally designed to cost out destroyers and cruisers, we were advised to use the ratio of displacements of two vessels. The comparison was made between the Varuna and the Island class cutter. This scaling factor allowed for the disparity between a destroyer and a relatively small craft such as the Varuna in weight, armament , crew, etc., to be accounted for by the spreadsheet. This produced a reasonable estimate of construction cost. The NCCM program uses the ship work breakdown structure (SWBS) to calculate the cost of building the lead ship as well as the follow on ships. Table 9.0.1 shows the costing values based on ship weight. Tables 9.0.2 – 9.0.3 show the cost of producing the lead ship based on government and contractor cost, change tickets, inflation, etc. The following ships will be approximately 85% of the lead ship cost based on the “learning curve,” given as the learning rate factor. The first ship will come in at 144 million dollars and the following ships will come in at about 123 million dollars. These are merely estimates for the design phase of the project.

Description Variable Value Units Input/Calc/Constant

WEIGHTStructure (100)Total Structural Weight WT1 488.8 lton 46.04

Propulsion (200)PIBRAKE WBM 65184.0 HP 7090Total Propulsion Plant Weight WT2 355.8 lton 21.36

Electrical Plant (300)Total Electrical Plant Weight WT3 270.1 lton 3.59

Command and Surveillance (400)Gyro/IC/Navigation(420,430) WIC 20.0 lton 0.75Total Command and Surveillance WT4 73.7 lton 2.07

Auxiliary Systems (500)Total Auxiliary Systems Weight WT5 235.5 lton 1.61

Outfit and Furnishings (600)Total Outfit and Furnishings Weight WT6 80.3 lton 6

Armament (700)Total Armament Weight WT7 42.7 lton 4.06

Future Growth Weight Margin WM24 148.75 lton 4.25Margined Lightship Weight WLS 1636.29 lton 85.24

Average Deck Height HDK 8.5 7 Table 9.0.1 SWBS Weight Estimation

57

Description Variable Value Units

Additional CharacteristicsShip Service Life LS 30 yearsInitial Operational Capability YIOC 2015 year Total Ship Acquisition NS 20 shipsProduction Rate RP 3 ships/year

InflationBase Year YB 1999Average Inflation Rate RI 2.2Inflation Factor FI 1.480

Lead Ship Cost - Shipbuilder PortionSWBS Costs: (See Table 5 for KN factors)Structure KN1 0.38

CL1D 2.27378179 M$Propulsion KN2 0.828

CL2D 17.6801253 M$Electric KN3 0.69

CL3D 12.5026848 M$Command, Control, Surveillance(less payload GFM cost) KN4 1.38

CL4D 3.146205 M$Auxiliary KN5 1.035

CL5D 10.4025532 M$Outfit KN6 0.69

CL6D 3.13397169 M$Armament(less payload GFM cost) KN7 0.78

CL7D 0.3932666 M$Margin Cost CLM 4.95312565 M$Integration/Engineering(Lead ship includes detail design engineering costs for class) KN8 6.9

CL8D 18.9890237 M$Ship Assembly and Support(Lead ship includes all tooling, jigs, special facilites for class) KN9 1.38

CL9D 5.33278403 M$Total Lead Ship Construction Cost(BCC) CLCC 78.8075219 M$Profit Factor FPROFIT 0.1Profit CLP 7.88075219 M$Lead Ship Price PL 86.6882741Change Order Factor COF 0.0828Change Orders CLCORD 7.17778909 M$

Total Shipbuilder Portion CSB 93.8660632 M$

Lead Ship Cost - Government PortionOther Support Factor OSF 0.0175Other Support CLOTH 1.5170448 M$

Weight of Costed Military Payload WMP 124.76 ltonCombat System GFE CER CSCER 0.22 M$/ltonHelo cost HC 0 M$Ordinance and Electrical GFE(Military Payload GFE) CLMPG 40.6082404 M$HM&E GFE Factor HMEGFEF 0.02HM&E GFE(Boats, IC) CLHMEG 1.73376548 M$Outfitting Cost Factor OCF 0.027Outfitting Cost CLOUT 2.3405834 M$

Total Government Cost CLGOV 46.1996341 M$

Total End Cost CLEND 140.065697 M$

Total Lead Ship Acquisition CostPost Delivery Cost (PSA) Factor PSACF 0.05PSA Cost PSAC 4.3344137 M$Total Lead Ship Acquisition Cost TLSAC 144.400111 M$

Table 9.0.2 Lead ship cost

58

Description Variable Value Units

Follow Ship CostLearning Rate Factor LRF 0.94433333Learning Rate LR 0.88866667

Follow Ship Cost - Shipbuilder PortionFollow Ship Basic Construction Cost CFBCC 44.0179603 M$Follow Ship Margin Cost CFM 4.40167766 M$Integration/Engineering Follow Ship Factor CF800F 0.0717Integration/Engineering Follow Ship Exponent CF800E 1.099Integration/Engineering CF800C 5.09750694 M$Ship Assembly and Support CF900C 4.73906741 M$Total Follow Ship Construction Cost CFCC 58.2562123 M$Profit FPROFIT 0.1Total Follow Ship Price PF 64.0818335 M$Follow Ship Change Order Factor FSCOF 0.055Change Order Cost COC 3.52450084 M$Total Follow Ship Cost Shipbuilder Portion CFSB 67.6063344 M$

Follow Ship Cost - Government PortionFollow Ship Other Cost Factor FSOCF 0.0178Follow Ship Other Cost FSOC 1.14065664 M$Follow Ship Program Manager's Growth Factor FPMGF 0.05Follow Ship Program Manager's Growth FPMG 3.20409168 M$Follow Ship Combat System GFE CER FSCSCER 0.246 M$/ltonFollow Ship Ordinance and Electrical GFE(Military Payload GFE) FCMPG 45.4073961 M$Follow Ship HM&E GFE Factor FHMEGFE 0.0207HM&E GFE(Boats, IC) FCHMEG 1.32649395 M$Outfitting Cost Factor FOCF 0.0276Outfitting Cost FCOUT 1.76865861 M$

Total Follow Ship Government Cost FCGOV 52.8472969 M$

Total Follow Ship End Cost CFEND 120.453631 M$

Follow Ship PSA Cost Factor CFPSAF 0.05Follow Ship PSA Cost CFPSA 3.20409168 M$Total Follow Ship Acquisition Cost CFA 123.657723 M$

Table 9.0.3 Follow ship cost

59

Conclusion Design of the Varuna was challenging, yet interesting, and would benefit from further iterations. Future design considerations include tunneling the hull to reduce appendage draft, lengthening of the vessel to accommodate a stern ramp, consideration of composites for structures, and researching additional weapons packages. Of course all other aspects of the design would be looked at in more detail – weight estimation, seakeeping in different seas, and meeting additional stability requirements. The design presented is a strong initial foundation for the design of a Navy patrol craft.

60

Appendix

61

Appendix A: Mission Need Statement

MISSION NEED STATEMENT FOR

A HIGH SPEED COASTAL PATROL CRAFT

1. DEFENSE PLANNING GUIDANCE ELEMENT

a. This Mission Need Statement (MNS) provides requirements for high speed coastal patrol surface combatants for the 21st Century. The multi-mission capabilities are comprised of the combat suite and the hull, mechanical and electrical systems needed to establish and ensure battle space dominance for These forces must operate wherever required, particularly in costal waters. The mission capabilities must be fully interoperable with other naval, interagency, joint and allied forces.

b. This unclassified MNS in part addresses the Department of Defense "Defense Planning Guidance, FY 1995 - 1999," dated 28 September 1993, requiring the United States to: "...continue to field first rate military forces capable of performing their missions in a wide range of operations." (p.1) "...capitalize on advanced technology and modernize our weapons and support systems selectively to ensure we retain superior capabilities" (p.14)

c. This MNS should guide 21st Century surface combatant design, research, development and acquisition program decisions, service and joint doctrine, and cooperative efforts with U.S. allies.

2. MISSION AND THREAT ANALYSIS

a. Mission. The general mission of this ship is to provide coastal patrol presence and operate as an integral part of joint and allied maritime expeditionary warfare operations.

b. Objectives. The 21st Century surface combatant must have flexibility to meet the multi-mission requirements while, at the same time, employing a nearly "puncture proof" self defense capability against all varieties of threats envisioned for a coastal environment. It must provide a defensive for strategic seaports and other essential logistics facilities in the coastal area of operations. It must be interoperable with other Naval expeditionary, interagency, joint, and allied forces under the C4I for the Warrior/Copernicus architecture. The 21st Century surface combatant must contribute to open ocean surface, air, and sub-surface dominance since successful littoral operations depend upon control of the sea beyond the sea-land interface.

c. Capabilities. (1) Power Projection - The ship must destroy or neutralize enemy targets near shore through the

use of weapons. The ship must provide adequate ammunition magazine capacity to meet both power projection and battle space dominance requirements. It must be capable of conducting cooperative engagements with other ships, submarines, aircraft, space and land systems.

(2) Battle space Dominance - To support regional expeditionary, joint and allied force operations, maintain sea lines of communication and defend air and seaports of embarkation/ debarkation, the 21st Century surface combatant must destroy or neutralize enemy surface and land forces, merchant shipping, submarines, and aircraft. The ship must also protect friendly forces from enemy missile attack (including tactical ballistic missiles). It must provide all-source identification beyond maximum range of associated weapons to avoid restrictions that would reduce force effectiveness and to minimize fratricide in a joint environment.

(3) Command, Control and Surveillance - The ship must be fully interoperable with other Naval expeditionary, interagency, joint, and allied forces, and with space and ground based sensors under the C4I for the Warrior/Copernicus architecture. The ship must permit timely and reliable Meteorological and Oceanographic Conditions (METOC) communication and must have the capability to monitor the environment continuously and precisely, and interface directly with the combat systems and associated Tactical Decision Aid software. The communications suite must have an integrated database capable of interfacing in a Joint Task Force/Combined Task

62

Force (JTF/CTF) environment to include compatibility with joint systems such as the Global Command and Control System (GCCS), the Joint Worldwide Intelligence Communications System (JWICS) and the Joint Deployable Intelligence Support System (JDISS). It must be designed to be a tactical operational extension using Tactical Command Center (TCC) and Tactical Data Information Exchange System (TADIX) within the emerging Joint Communications Planning and Management System. The ship must have a full suite of radios and antennas to support full connectivity via EHF/SHF/UHF SATCOM using full DAMA for each circuit. The ship must have an organic cryptologic capability designed to collect, process and geolocate signals of interest in order to describe and fully exploit the electronic battle space. Cryptologic capability is required to provide near real-time indications and warning and situational awareness to tactical decision makers to and to support CO situational awareness, coordinate actions with other forces and communicate the ship's actions to appropriate commanders. Connectivity must include seamless integration for both organic and off-ship sensor inputs to shooter actions.

(4) Survivability - The preceding capabilities cannot be accomplished unless the ship can protect itself, avoid soft-kill sensors and systems, degrade gracefully, fight hurt and survive. Reduced surface combatant force structure requires nearly "puncture-proof" self-defense capabilities as well as inherent survivability. This implies a capability for the 21st Century surface combatant to be highly successful in environmentally difficult littoral regions at engaging attacking missiles and torpedoes as well as being very effective at detecting, locating and avoiding surface, moored and bottom mines. This active defensive capability must be backed by a passive defensive capability, including stealth design or radar cross-section reduction, signal intercept exploitation, and acoustic signature reduction. Additionally, it must have a highly survivable total ship design with adequate combat suite and ship system redundancy to ensure graceful degradation of capability to make the total loss of the ship highly unlikely even if hit. The ship's design must also minimize manning requirements to reduce the number of personnel placed at risk, while providing the maximum defense against exposure to weapons of mass destruction. The vessel must be able to withstand sea state 5. The ship must carry stores and fuel to maintain the crew/vessel for 5 days.

(5) Mobility - The ship must steam to design capability and maneuver in formation at sustained Naval expeditionary force speeds of 24 kts. The design must provide sufficient machinery redundancy for graceful degradation of mobility and survivability. The ship must be able to perform seamanship, airmanship and navigation tasks; prevent and control damage; and replenish at sea.

(6) Fleet Support Operations – Conduct Search and Rescue (SAR) operations; and provide routine health care, first aid assistance, triage and resuscitation.

(7) Non-Combat Operations - The ship must provide emergency and disaster assistance; support operations to evacuate noncombatant personnel in areas of civil or international crisis; provide unit-level upkeep and maintenance; provide own unit administration and supply support; and, maintain the health and well being of the crew.

3. NON-MATERIAL ALTERNATIVES

Mission Area Analyses were conducted as part of the Destroyer Variant Study and 21st Century Surface Combatant Study. These analyses determined that changes in doctrine, operational concepts, tactics, organization and training are not sufficient to address deficiencies.

a. U.S. or Allied doctrine: Doctrine changes required without a 21st Century surface combatant would include: Acceptance of regional hegemony of Third World military powers; inability to project expeditionary force strike power from the sea; severely degraded ability to project precise strike power against land targets; inability to maintain meaningful, visible forward presence for coalition building.

b. Operational concepts: A 21st Century surface combatant, optimized to leverage technology to perform multiple roles in both open ocean and littoral warfare environments, will be needed to execute the operational concepts contained in the Joint Maritime Strategy.

c. Tactics: Tactics calling for insertion of sea based forces into littoral waters early in a crisis or conflict to deter, contain or control aggression early will entail unacceptable risk to other naval expeditionary and land-based forces. Further, these tactics would be based on obsolescent technology through out inability to cost-effectively modernize existing surface ships and maintain our technology edge

63

over potential adversaries. d. Organization: Increased forward basing and double crewing of surface combatants were deemed

to be infeasible alternatives to acquisition of a 21st Century surface combatant. These alternatives would provide insufficient assets for crisis management or joint war fighting in a single or nearly simultaneous two MRC contingency.

e. Training: Future surface combatants must be ready to fight simultaneous multi-warfare engagements in littoral warfare that will proceed so rapidly crew response times will be insufficient, and place the crew and ship at risk. Training alternatives offering the potential to maintain force capability in a smaller force manned with fewer personnel rely heavily on holistic, embedded training. This training capability must be an integral part of the total ship architecture called out as a mission need in a 21st Century Combatant. Without the opportunity to implement this training initiative, the Navy will be forced to continue and expand expensive, off-board training programs.

4. POTENTIAL MATERIEL ALTERNATIVES

a. Alternative design concepts include: (1) new conventional ship designs (2) Advanced/unconventional hull forms (3) Modular ship

b. As part of their shipbuilding programs, various Allies have combat, hull, mechanical and electrical system programs ongoing or under development that offer possible cooperative opportunities. These subsystem designs will be examined. All meaningful cooperative opportunities can be realized without a formal cooperative development program for a 21st Century surface combatant.

5. CONSTRAINTS

a. Key Boundary Conditions. (1) Architecture - The ship design must employ a total ship architectural/engineering

approach that optimizes life cycle cost and performance; minimizes operating conflicts; permits rapid upgrade and change in response to evolving operational requirements; allows computational and communication resources to keep technological pace with commercial capabilities; and provides the capability to survive and fight hurt. More specifically this implies physical element modularity; functional sharing of hardware; open systems information architecture; ship wide resource management; automation of Command, Control, Communications, and Computers (C4I), combat engineering, and navigation functions; integrated ship wide data management; automation and minimization of maintenance and administrative functions; and embedded training. The approach should also promote commonality of design among ship classes.

(2) Design - Consideration should be given to the maximum use of modular designs in the surface combatant's infrastructure. Emerging technologies must be accounted for during the developmental phase. Modern, flexible information processing must be built into any new weapon system. Since communication and data systems hold the greatest potential for growth, and therefore obsolescence, their installations must be modularized as much as possible to allow for future upgrades. Use standard man-to-machine interfaces among the systems onboard. The man-to- machine interfaces should be consistent with existing user-friendly systems.

(3) Personnel - The ship must be automated to a sufficient degree to realize significant manpower reductions in engineering, combat systems, ship support and Condition III watchstanding requirements. Reduced manning concepts used by NATO Navies should be reviewed to leverage advanced technologies and future advanced technology concepts in an effort to minimize shipboard manning requirements. Preventive maintenance manpower requirements must be reduced by incorporating self-analysis features in equipment designs, and by selecting materials and preservatives which minimize corrosion. A Manpower, Personnel, and Training (MPT) analysis will be performed in accordance with OPNAVINST 5311.7 (HARDMAN). This analysis will recommend options to exploit the use of technology to reduce MPT requirements. Trade-offs which reduce MPT requirements will be favored during design and development. Final MPT determination will be documented and validated in a Navy Training Plan in accordance with OPNAVINST 1500.8. The vessel shall be equipped to support a crew of no less than 40 people.

(4) Backfit - Major functional elements of a 21st Century surface combatant must be applicable to other forward fit ship construction programs. Consideration must also be given to the

64

ability to retrofit into existing AEGIS cruisers and destroyers; however this must not be done at the expense of achieving performance in new construction.

b. Operational Constraints. (1) The 21st Century surface combatant must remain fully functional and operational in

all environments, whether conducting independent or force operations, in heavy weather (sea state 5) or in the presence of electromagnetic, nuclear, biological and chemical contamination and/or shock effects from nuclear and conventional weapon attack.

(2) Any 21st Century surface combatant must meet the survivability requirements of Level III as defined in OPNAVINST 9070.1. Topside system components shall be decontaminable through use of a countermeasure wash down system and portable Decontamination (DECON) methods. (3) The ship must be able to operate in U.S., foreign, and international waters in full compliance with existing U.S. and international pollution control laws and regulations.

(4) All ship and combat system elements must make use of standard subsystems and meet required development practices. The 21st Century surface combatant must be fully integrated with other U.S. Navy, Marine Corps, joint and allied forces, and other agencies (e.g., Theater Air Defense Architecture) in combined, coordinated operations. For example, linkage with standard data based from the Defense Mapping Agency (DMA) will minimize ancillary costs and promote maximum interoperability with the widest number of weapon and sensor systems. Joint goals for standardization and interoperability with the widest number of weapon and sensor systems. Joint goals for standardization and interoperability will be achieved to the maximum feasible extent.

(5) The ship must be able to transit through the Panama Canal (PANAMAX).

65

Appendix B: Ship Powering B 1. NavCAD output

66

B 2. Rudder Calculations

Rudder Force Cr = (n)(Cs)(Kt)(A)(V^2) n = 0.132 Cs = 0.45 Kt = 1.463 A = 0.606 m^2 V = 40 kts Cr = 84.26 kN Cr = 8.46 LT

Rudder Torque Qr = (Cr)*r Cr = 84.26 kN r = 0.089 m Qr = 7.50 kN-m Qr = 2.47 FT-LT

B 3. Shafting/Struts Calculations

ABS Shaft Diameter D =100K((H/R)*(c1/(U+c2)))1/3 K = 1.1H = 5289R = 2100U = 930c1 = 416.4c2 = 160 D = 4.27" = 4.5"

ABS Bossing Size t = 1/5*D

t = .8" = 1.0"ID = ~ 4.5"OD = ~ 6.5"

67

ABS Strut Size width = 2.27*D

thickness = .365*D Width = 10.25"Thick. = 1.75" B 4. Speed vs. Fnv

At full load At Min op load V Fnv V Fnv 25 1.87 25 1.92 30 2.24 30 2.31 31 2.32 31 2.39 32 2.39 32 2.46 33 2.47 33 2.54 34 2.54 34 2.62 35 2.62 35 2.69 36 2.69 36 2.77 37 2.77 37 2.85 38 2.84 38 2.92 39 2.92 39 3.00 40 2.99 40 3.08

68

Appendix C: Tank Sounding Tables Tank Soundings for FOREPEAK.C containing SALT WATER (1.025) No Trim, No Heel Sounding (Ft.-In.)

Volume (gal.)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

FSM (LT-ft)

Ullage (Ft.-In.)

0' 0.0" 0.00 0.00 0.000 0.000 0.000 0.00 11' 1.2" 0' 6.0" 0.00 0.00 0.000 0.000 0.000 0.00 10' 7.2" 1' 0.0" 0.00 0.00 0.000 0.000 0.000 0.00 10' 1.2" 1' 6.0" 0.00 0.00 0.000 0.000 0.000 0.00 9' 7.2" 2' 0.0" 1.17 0.00 12.949a 0.000 1.907 0.00 9' 1.2" 2' 6.0" 5.75 0.02 12.772a 0.000 2.266 0.01 8' 7.2" 3' 0.0" 16.65 0.06 12.511a 0.000 2.640 0.03 8' 1.2" 3' 6.0" 37.38 0.14 12.227a 0.000 3.032 0.08 7' 7.2" 4' 0.0" 65.94 0.25 12.094a 0.000 3.390 0.17 7' 1.2" 4' 6.0" 106.19 0.41 11.931a 0.000 3.749 0.33 6' 7.2" 5' 0.0" 159.74 0.61 11.760a 0.000 4.109 0.57 6' 1.2" 5' 6.0" 228.93 0.87 11.584a 0.000 4.471 0.93 5' 7.2" 6' 0.0" 315.23 1.20 11.404a 0.000 4.835 1.42 5' 1.2" 6' 6.0" 420.37 1.61 11.231a 0.000 5.200 2.11 4' 7.2" 7' 0.0" 545.64 2.08 11.047a 0.000 5.565 2.72 4' 1.2" 7' 6.0" 688.67 2.63 10.870a 0.000 5.922 3.38 3' 7.2" 8' 0.0" 849.58 3.24 10.697a 0.000 6.274 4.19 3' 1.2" 8' 6.0" 1029.23 3.93 10.533a 0.000 6.624 5.21 2' 7.2" 9' 0.0" 1229.90 4.70 10.376a 0.000 6.975 6.57 2' 1.2" 9' 6.0" 1453.88 5.55 10.225a 0.000 7.329 8.44 1' 7.2" 10' 0.0" 1704.93 6.51 10.078a 0.000 7.688 11.00 1' 1.2" 10' 6.0" 1987.37 7.59 9.933a 0.000 8.055 14.41 0' 7.2" 11' 0.0" 2304.42 8.80 9.790a 0.000 8.429 18.84 0' 1.2" FULL 2370.92 9.05 9.759a 0.000 8.502 16.19 0' 1.2" Tank Soundings for SEWAGE.C containing SALT WATER (1.025) No Trim, No Heel Sounding (Ft.-In.)

Volume (gal.)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

FSM (LT-ft)

Ullage (Ft.-In.)

0' 0.0" 0.00 0.00 0.000 0.000 0.000 0.00 2' 6.0" 0' 6.0" 18.33 0.07 20.615a 0.000 0.345 0.07 2' 0.0" 1' 0.0" 79.45 0.30 20.175a 0.000 0.688 0.47 1' 6.0" 1' 6.0" 179.98 0.69 19.952a 0.000 1.018 1.31 1' 0.0" 2' 0.0" 319.32 1.22 19.768a 0.000 1.347 2.59 0' 6.0" FULL 493.30 1.88 19.626a 0.000 1.671 0.00 0' 0.0" Tank Soundings for LUBEOIL.S containing LUBE OIL (0.924) No Trim, No Heel Sounding (Ft.-In.)

Volume (gal.)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

FSM (LT-ft)

Ullage (Ft.-In.)

0' 0.0" 0.00 0.00 0.000 0.000 0.000 0.00 1' 6.0" 0' 6.0" 25.95 0.09 75.849a 0.563s 0.333 0.08 1' 0.0" 1' 0.0" 102.24 0.35 75.858a 1.105s 0.664 0.63 0' 6.0" FULL 227.96 0.78 75.860a 1.636s 0.996 0.00 0' 0.0"

69

Tank Soundings for DIRTYOIL.P containing LUBE OIL (0.924) No Trim, No Heel Sounding (Ft.-In.)

Volume (gal.)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

FSM (LT-ft)

Ullage (Ft.-In.)

0' 0.0" 0.00 0.00 0.000 0.000 0.000 0.00 1' 6.0" 0' 6.0" 25.95 0.09 75.849a 0.563p 0.333 0.08 1' 0.0" 1' 0.0" 102.24 0.35 75.858a 1.105p 0.664 0.63 0' 6.0" FULL 227.96 0.78 75.860a 1.636p 0.996 0.00 0' 0.0" Tank Soundings for FRESHWATER.S containing FRESH WATER (1.000) No Trim, No Heel Sounding (Ft.-In.)

Volume (gal.)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

FSM (LT-ft)

Ullage (Ft.-In.)

0' 0.0" 0.00 0.00 0.000 0.000 0.000 0.00 3' 0.0" 0' 6.0" 21.05 0.08 28.513a 0.382s 0.334 0.03 2' 6.0" 1' 0.0" 81.22 0.30 28.510a 0.726s 0.662 0.22 2' 0.0" 1' 6.0" 176.08 0.66 28.516a 1.038s 0.986 0.64 1' 6.0" 2' 0.0" 301.92 1.12 28.523a 1.323s 1.309 1.30 1' 0.0" 2' 6.0" 455.94 1.70 28.531a 1.587s 1.629 2.20 0' 6.0" FULL 635.20 2.37 28.540a 1.831s 1.947 0.00 0' 0.0" Tank Soundings for FRESHWATER.P containing FRESH WATER (1.000) No Trim, No Heel Sounding (Ft.-In.)

Volume (gal.)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

FSM (LT-ft)

Ullage (Ft.-In.)

0' 0.0" 0.00 0.00 0.000 0.000 0.000 0.00 3' 0.0" 0' 6.0" 21.05 0.08 28.513a 0.382p 0.334 0.03 2' 6.0" 1' 0.0" 81.22 0.30 28.510a 0.726p 0.662 0.22 2' 0.0" 1' 6.0" 176.08 0.66 28.516a 1.038p 0.986 0.64 1' 6.0" 2' 0.0" 301.92 1.12 28.523a 1.323p 1.309 1.30 1' 0.0" 2' 6.0" 455.94 1.70 28.531a 1.587p 1.629 2.20 0' 6.0" FULL 635.20 2.37 28.540a 1.831p 1.947 0.00 0' 0.0" Tank Soundings for FUELOIL1.S containing FUEL OIL (0.870) No Trim, No Heel Sounding (Ft.-In.)

Volume (gal.)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

FSM (LT-ft)

Ullage (Ft.-In.)

0' 0.0" 0.00 0.00 0.000 0.000 0.000 0.00 2' 0.0" 0' 6.0" 78.03 0.25 48.392a 0.488s 0.333 0.18 1' 6.0" 1' 0.0" 304.38 0.99 48.432a 0.943s 0.663 1.28 1' 0.0" 1' 6.0" 667.71 2.16 48.471a 1.372s 0.990 3.88 0' 6.0" FULL 1159.88 3.76 48.509a 1.779s 1.317 0.00 0' 0.0"

70

Tank Soundings for FUELOIL2.P containing FUEL OIL (0.870) No Trim, No Heel Sounding (Ft.-In.)

Volume (gal.)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

FSM (LT-ft)

Ullage (Ft.-In.)

0' 0.0" 0.00 0.00 0.000 0.000 0.000 0.00 2' 0.0" 0' 6.0" 78.03 0.25 48.392a 0.488p 0.333 0.18 1' 6.0" 1' 0.0" 304.38 0.99 48.432a 0.943p 0.663 1.28 1' 0.0" 1' 6.0" 667.71 2.16 48.471a 1.372p 0.990 3.88 0' 6.0" FULL 1159.88 3.76 48.509a 1.779p 1.317 0.00 0' 0.0" Tank Soundings for FUELDAY.S containing FUEL OIL (0.870) No Trim, No Heel Sounding (Ft.-In.)

Volume (gal.)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

FSM (LT-ft)

Ullage (Ft.-In.)

0' 0.0" 0.00 0.00 0.000 0.000 0.000 0.00 2' 4.0" 0' 6.0" 28.07 0.09 67.034a 0.544s 0.333 0.08 1' 10.0" 1' 0.0" 110.69 0.36 67.032a 1.065s 0.664 0.59 1' 4.0" 1' 6.0" 244.97 0.79 67.035a 1.565s 0.994 1.86 0' 10.0" 2' 0.0" 429.21 1.39 67.038a 2.050s 1.323 4.16 0' 4.0" FULL 579.07 1.88 67.040a 2.368s 1.542 0.00 -1' 10.0" Tank Soundings for FUELDAY.P containing FUEL OIL (0.870) No Trim, No Heel Sounding (Ft.-In.)

Volume (gal.)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

FSM (LT-ft)

Ullage (Ft.-In.)

0' 0.0" 0.00 0.00 0.000 0.000 0.000 0.00 2' 4.0" 0' 6.0" 28.07 0.09 67.034a 0.544p 0.333 0.08 1' 10.0" 1' 0.0" 110.69 0.36 67.032a 1.065p 0.664 0.59 1' 4.0" 1' 6.0" 244.97 0.79 67.035a 1.565p 0.994 1.86 0' 10.0" 2' 0.0" 429.21 1.39 67.038a 2.050p 1.323 4.16 0' 4.0" FULL 579.07 1.88 67.040a 2.368p 1.542 0.00 -1' 10.0"

71

Tank Soundings for FUELOIL3.S containing FUEL OIL (0.870) No Trim, No Heel Sounding (Ft.-In.)

Volume (gal.)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

FSM (LT-ft)

Ullage (Ft.-In.)

0' 0.0" 0.00 0.00 0.000 0.000 0.000 0.00 6' 6.0" 0' 6.0" 11.38 0.04 106.670a 0.617s 0.334 0.04 6' 0.0" 1' 0.0" 45.44 0.15 106.670a 1.233s 0.667 0.34 5' 6.0" 1' 6.0" 102.24 0.33 106.670a 1.850s 1.000 1.13 5' 0.0" 2' 0.0" 181.78 0.59 106.670a 2.467s 1.334 2.69 4' 6.0" 2' 6.0" 284.03 0.92 106.670a 3.084s 1.667 5.25 4' 0.0" 3' 0.0" 403.84 1.31 106.669a 3.617s 1.989 6.41 3' 6.0" 3' 6.0" 525.62 1.70 106.668a 3.928s 2.281 6.54 3' 0.0" 4' 0.0" 648.18 2.10 106.667a 4.129s 2.559 6.67 2' 6.0" 4' 6.0" 771.62 2.50 106.667a 4.273s 2.830 6.81 2' 0.0" 5' 0.0" 895.90 2.90 106.667a 4.382s 3.096 6.95 1' 6.0" 5' 6.0" 1020.99 3.31 106.666a 4.469s 3.360 7.09 1' 0.0" 6' 0.0" 1146.91 3.72 106.666a 4.542s 3.622 7.23 0' 6.0" FULL 1273.78 4.13 106.666a 4.604s 3.884 0.00 0' 0.0" Tank Soundings for FUELOIL4.P containing FUEL OIL (0.870) No Trim, No Heel Sounding (Ft.-In.)

Volume (gal.)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

FSM (LT-ft)

Ullage (Ft.-In.)

0' 0.0" 0.00 0.00 0.000 0.000 0.000 0.00 6' 6.0" 0' 6.0" 11.38 0.04 106.670a 0.617p 0.334 0.04 6' 0.0" 1' 0.0" 45.44 0.15 106.670a 1.233p 0.667 0.34 5' 6.0" 1' 6.0" 102.24 0.33 106.670a 1.850p 1.000 1.13 5' 0.0" 2' 0.0" 181.78 0.59 106.670a 2.467p 1.334 2.69 4' 6.0" 2' 6.0" 284.03 0.92 106.670a 3.084p 1.667 5.25 4' 0.0" 3' 0.0" 403.84 1.31 106.669a 3.617p 1.989 6.41 3' 6.0" 3' 6.0" 525.62 1.70 106.668a 3.928p 2.281 6.54 3' 0.0" 4' 0.0" 648.18 2.10 106.667a 4.129p 2.559 6.67 2' 6.0" 4' 6.0" 771.62 2.50 106.667a 4.273p 2.830 6.81 2' 0.0" 5' 0.0" 895.90 2.90 106.667a 4.382p 3.096 6.95 1' 6.0" 5' 6.0" 1020.99 3.31 106.666a 4.469p 3.360 7.09 1' 0.0" 6' 0.0" 1146.91 3.72 106.666a 4.542p 3.622 7.23 0' 6.0" FULL 1273.78 4.13 106.666a 4.604p 3.884 0.00 0' 0.0"

72

Appendix D: Stability D 1. Crane Stability Check

USCG, 46 CFR - OTM of crane < (.67)(W)(GM)(F/B)

MAX LOAD MIN OP W (LT) 115.42 94.61 GM (FT) 9.07 10.32 F (FT) 6 6.5 B (FT) 22 22 USCG OTM (FT-LT) 191.29 193.28 CRANE OTM (FT-LT) 27.34 27.34 STATUS OK OK **Therefore crane does not warrant lifting criteria analysis. Crane Particulars: Max OTM = 1.96 LT @ 3.8' + (1.96 LT)(10') = 27.34 LT-FT Our Lift = .41 LT @ 11.5' max **Max OTM reflects moment from crane pedestal 10' off CL.

73

D 2. Intact Output INTACT STABILITY – HIGH SPEED TURN FULL LOAD CONDITION Floating Status Draft FP 4.449 ft Heel stbd 10.17 deg. GM(Solid) 6.703 ft Draft MS 3.893 ft Equil Yes F/S Corr. 0.003 ft Draft AP 3.336 ft Wind 0.0 kn GM(Fluid) 6.701 ft Trim fwd 1.00/105.20 Wave No KMT 12.100 ft LCG 67.990a ft VCG 5.502 ft TPIn 3.88 Loading Summary Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Light Ship 86.59 68.170a 0.000 6.260Deadweight 27.98 67.433a 0.046s 3.156Displacement 114.57 67.990a 0.011s 5.502 Fixed Weight Status Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

LIGHT SHIP 86.59 68.170a 0.000 6.260u 40MM AMMUNITION 0.50 20.000a 0.000 1.700u 50 CAL AMMUNITION 0.50 89.600a 0.000 10.900u CREW AND EFFECTS 1.16 72.300a 0.000 14.500u DECK CARGO 0.41 102.900a 0.000 12.900u STORES 0.23 57.000a 0.000 10.000uTotal Fixed: 89.39 68.205a 0.000 6.407uTank Status SEWAGE (SpGr 0.985) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

SEWAGE.C 10.01% 0.18 20.273a 0.247s 0.573 0.980Subtotals: 10.01% 0.18 20.273a 0.247s 0.573 FRESH WATER (SpGr 1.000) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

FRESHWATER.P 100.00% 2.35 28.540a 1.831p 1.947 0.980FRESHWATER.S 100.00% 2.35 28.540a 1.831s 1.947 0.980Subtotals: 100.00% 4.71 28.540a 0.000 1.947 FUEL OIL (SpGr 0.870) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

FUELDAY.P 100.00% 1.87 67.040a 2.368p 1.542 0.980FUELDAY.S 100.00% 1.87 67.040a 2.368s 1.542 0.980FUELOIL1.S 100.00% 3.74 48.509a 1.779s 1.317 0.980

74

FUELOIL2.P 100.00% 3.74 48.509a 1.779p 1.317 0.980FUELOIL3.S 100.00% 4.11 106.666a 4.604s 3.884 0.980FUELOIL4.P 100.00% 4.11 106.666a 4.604p 3.884 0.980Subtotals: 100.00% 19.43 76.660a 0.000 2.446 LUBE OIL (SpGr 0.924) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

DIRTYOIL.P 10.07% 0.08 75.655a 0.418p 0.323 0.980LUBEOIL.S 100.00% 0.78 75.860a 1.636s 0.996 0.980Subtotals: 55.04% 0.86 75.841a 1.448s 0.934 All Tanks Load

(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm

Totals: 25.18 67.229a 0.051s 2.287 Displacer Status Item Status Spgr Displ

(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm

HULL.C Intact 1.025 114.57 67.959a 2.050s 2.704 1.000SubTotals: 114.57 67.959a 2.050s 2.704 Hydrostatic Properties Draft is from Baseline. Trim: fwd 1.00/105.20, No heel, VCG = 6.41

LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

KML (ft)

KMT (ft)

3.724 107.207 68.016a 2.444 68.837a 4.222 29.453 353.208 15.979 Water Specific Gravity = 1.025. Trim is per 105.20ft Residual Righting Arms vs Heel Angle

Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm (ft)

Area (ft-Deg)

Notes

0.00 0.56f 4.54 -1.57 0.000 10.00s 0.55f 4.38 -0.02 -7.980 10.22s 0.55f 4.38 0.00 -7.982 Equil20.00s 0.63f 3.99 1.00 -2.677 30.00s 0.78f 3.36 1.80 11.489 40.00s 0.90f 2.46 2.50 33.110 50.00s 0.89f 1.37 2.78 59.890 52.67s 0.88f 1.08 2.80 67.351 MaxRa60.00s 0.85f 0.26 2.70 87.606 70.00s 0.75f -0.96 2.28 112.813 80.00s 0.57f -2.26 1.60 132.433 90.00s 0.33f -3.56 0.72 144.184 97.40s 0.13f -4.50 0.00 146.882 RaZero

100.00s 0.05f -4.82 -0.25 146.553

75

110.00s 0.25a -6.00 -1.22 139.174 120.00s 0.57a -7.04 -2.14 122.336

Note: Residual Righting Arms shown above are in excess of the overturning arms derived from these moments (in ft-LT): Stbd heeling mmt= 179.09Cos^2(heel) + 0.00 <= 90 deg Stbd heeling mmt= 0.00 > 90 deg 2-5-2-5-1 HIGH SPEED TURNS Limit Min/Max Actual Margin Pass (1) Absolute Angle at Equilibrium <15.00 deg 10.22 4.78 Yes (2) Rise in Abs. RA from Equilibrium to MaxRA >60.0% 1.226 0.626 Yes (3) Absolute Area Ratio from 0.00 deg to RAzero >0.400 3.050 2.650 Yes

Righting Arms vs. HeelHeel angle (Degrees)

Arms in ft

0.0s 50.0s 100.0s

-2.0

-1.0

0.0

1.0

2.0

3.0

Righting ArmHeeling ArmR. Area / 100Equilibrium

76

MINIMUM OPERATING CONDITION Floating Status Draft FP 4.131 ft Heel stbd 12.96 deg. GM(Solid) 5.366 ft Draft MS 3.411 ft Equil Yes F/S Corr. 0.015 ft Draft AP 2.690 ft Wind 0.0 kn GM(Fluid) 5.350 ft Trim fwd 1.28/105.20 Wave No KMT 11.287 ft LCG 67.225a ft VCG 6.058 ft TPIn 3.58 Loading Summary Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Light Ship 86.59 68.170a 0.000 6.260Deadweight 9.12 58.260a 0.028p 4.142Displacement 95.71 67.225a 0.003p 6.058 Fixed Weight Status Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

LIGHT SHIP 86.59 68.170a 0.000 6.260u 40MM AMMUNITION 0.50 20.000a 0.000 1.700u 50 CAL AMMUNITION 0.50 89.600a 0.000 10.900u CREW AND EFFECTS 1.16 72.300a 0.000 14.500u DECK CARGO 0.41 102.900a 0.000 12.900u STORES 0.02 57.000a 0.000 10.000uTotal Fixed: 89.18 68.231a 0.000 6.399u

77

Tank Status SEWAGE (SpGr 0.985) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

FRESHWATER.P 10.00% 0.24 28.263a 0.529p 0.597 0.980FRESHWATER.S 10.02% 0.24 28.359a 0.877s 0.615 0.980Subtotals: 10.01% 0.47 28.311a 0.175s 0.606 FUEL OIL (SpGr 0.870) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

FUELDAY.P 97.99% 1.83 67.023a 2.287p 1.528 0.980FUELDAY.S 97.98% 1.83 67.027a 2.408s 1.528 0.980Subtotals: 18.83% 3.66 67.025a 0.060s 1.528 LUBE OIL (SpGr 0.924) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

DIRTYOIL.P 89.99% 0.70 75.822a 1.401p 0.951 0.980LUBEOIL.S 9.99% 0.08 75.320a 1.066s 0.397 0.980Subtotals: 49.99% 0.78 75.772a 1.154p 0.896 All Tanks Load

(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm

Totals: 6.53 53.499a 0.039p 1.404 Displacer Status Item Status Spgr Displ

(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm


LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

KML (ft)

KMT (ft)

3.174 80.289 66.372a 2.119 69.746a 4.037 28.136 448.746 18.232 Water Specific Gravity = 1.025. Trim is per 105.20ft

78

Residual Righting Arms vs Heel Angle

Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm (ft)

Area (ft-Deg)

Notes

0.00 0.65f 4.28 -1.86 0.000 10.00s 0.67f 4.12 -0.32 -10.884 13.00s 0.70f 4.03 0.00 -11.355 Equil20.00s 0.80f 3.74 0.62 -9.026 30.00s 0.98f 3.13 1.35 0.942 40.00s 1.16f 2.27 2.09 18.093 50.00s 1.25f 1.23 2.48 41.205 53.43s 1.28f 0.87 2.50 49.752 MaxRa60.00s 1.30f 0.13 2.41 66.010 70.00s 1.25f -1.12 1.96 88.153 80.00s 1.10f -2.44 1.22 104.268 90.00s 0.88f -3.77 0.28 111.945 92.71s 0.81f -4.12 0.00 112.324 RaZero

100.00s 0.59f -5.05 -0.75 109.599 110.00s 0.27f -6.23 -1.77 96.967 120.00s 0.09a -7.28 -2.71 74.497


79


Arms in ft

0.0s 50.0s 100.0s

-2.0

-1.0

0.0

1.0

2.0

3.0Righting ArmHeeling ArmR. Area / 100Equilibrium

80

LIGHTSHIP CONDITION Floating Status Draft FP 3.682 ft Heel stbd 14.88 deg. GM(Solid) 4.857 ft Draft MS 3.090 ft Equil Yes F/S Corr. 0.000 ft Draft AP 2.498 ft Wind 0.0 kn GM(Fluid) 4.857 ft Trim fwd 1.05/105.20 Wave No KMT 10.954 ft LCG 68.170a ft VCG 6.260 ft TPIn 3.42 Loading Summary Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Light Ship 86.59 68.170a 0.000 6.260Displacement 86.59 68.170a 0.000 6.260 Fixed Weight Status Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

LIGHT SHIP 86.59 68.170a 0.000 6.260u 40MM AMMUNITION 0.00 0.000 0.000 0.000 50 CAL AMMUNITION 0.00 0.000 0.000 0.000 CREW AND EFFECTS 0.00 0.000 0.000 0.000 DECK CARGO 0.00 0.000 0.000 0.000 STORES 0.00 0.000 0.000 0.000Total Weight: 86.59 68.170a 0.000 6.260u Displacer Status Item Status Spgr Displ

(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm


LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

KML (ft)

KMT (ft)


81


Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm (ft)

Area (ft-Deg)

Notes

0.00 0.49f 3.90 -2.07 0.000 10.00s 0.51f 3.72 -0.50 -12.848 14.93s 0.57f 3.56 0.00 -14.002 Equil20.00s 0.65f 3.34 0.44 -12.850 30.00s 0.84f 2.74 1.16 -4.722 40.00s 1.03f 1.90 1.92 10.660 50.00s 1.16f 0.88 2.38 32.398 53.77s 1.20f 0.46 2.42 41.470 MaxRa60.00s 1.21f -0.28 2.32 56.334 70.00s 1.14f -1.59 1.85 77.530 80.00s 0.98f -2.96 1.09 92.490 90.00s 0.74f -4.33 0.12 98.708 91.09s 0.71f -4.47 0.00 98.771 RaZero

100.00s 0.45f -5.62 -0.95 94.573 110.00s 0.12f -6.81 -2.00 79.795 120.00s 0.24a -7.83 -2.96 54.918


82


Arms in ft

0.0s 50.0s 100.0s

-3.0

-2.0

-1.0

0.0

1.0

2.0

3.0Righting ArmHeeling ArmR. Area / 100Equilibrium

83

INTACT STABILITY – WIND HEELING FULL LOAD CONDITION Floating Status Draft FP 4.449 ft Heel stbd 10.17 deg. GM(Solid) 6.703 ft Draft MS 3.893 ft Equil Yes F/S Corr. 0.003 ft Draft AP 3.336 ft Wind 0.0 kn GM(Fluid) 6.701 ft Trim fwd 1.00/105.20 Wave No KMT 12.100 ft LCG 67.990a ft VCG 5.502 ft TPIn 3.88 Loading Summary Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Light Ship 86.59 68.170a 0.000 6.260 Deadweight 27.98 67.433a 0.045s 3.156 Displacement 114.57 67.990a 0.011s 5.502 Fixed Weight Status Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

LIGHT SHIP 86.59 68.170a 0.000 6.260u 40MM AMMUNITION 0.50 20.000a 0.000 1.700u 50 CAL AMMUNITION 0.50 89.600a 0.000 10.900u CREW AND EFFECTS 1.16 72.300a 0.000 14.500u DECK CARGO 0.41 102.900a 0.000 12.900u STORES 0.23 57.000a 0.000 10.000uTotal Fixed: 89.39 68.205a 0.000 6.407u Tank Status SEWAGE (SpGr 0.985) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

FUELDAY.P 100.00% 1.87 67.040a 2.368p 1.542 0.980FUELDAY.S 100.00% 1.87 67.040a 2.368s 1.542 0.980FUELOIL1.S 100.00% 3.74 48.509a 1.779s 1.317 0.980FUELOIL2.P 100.00% 3.74 48.509a 1.779p 1.317 0.980

84

FUELOIL3.S 100.00% 4.11 106.666a 4.604s 3.884 0.980FUELOIL4.P 100.00% 4.11 106.666a 4.604p 3.884 0.980Subtotals: 100.00% 19.43 76.660a 0.000 2.446 LUBE OIL (SpGr 0.924) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm


(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm

HULL.C Intact 1.025 114.60 67.962a 1.188s 2.588 1.000SubTotals: 114.60 67.962a 1.188s 2.588

85

Hydrostatic Properties Draft is from Baseline. Trim: fwd 1.00/105.20, No heel, VCG = 6.41

LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

KML (ft)

KMT (ft)

3.840 113.008 68.055a 2.512 68.671a 4.241 29.730 338.496 15.463 Water Specific Gravity = 1.025. Trim is per 105.20ft Residual Righting Arms vs Heel Angle

Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm(ft)

Area (ft-Deg)

Flood Pt Height

(ft)

Notes

25.00p 0.70f 3.71 -3.53 0.000 11.74 (2) Roll15.00p 0.58f 4.21 -2.88 -32.028 13.21 (2)

5.00p 0.55f 4.50 -1.75 -55.570 14.50 (2) 5.00s 0.55f 4.50 -0.07 -65.107 14.50 (1) 5.43s 0.55f 4.49 0.00 -65.122 14.44 (1) Equil

15.00s 0.58f 4.21 1.12 -59.399 13.21 (1) 25.00s 0.70f 3.71 1.88 -44.070 11.74 (1) 35.00s 0.86f 2.94 2.51 -22.023 10.11 (1) 45.00s 0.90f 1.93 2.84 4.976 8.24 (1) 48.39s 0.89f 1.55 2.85 14.645 7.54 (1) MaxRa55.00s 0.87f 0.82 2.78 33.355 6.11 (1) 65.00s 0.81f -0.34 2.43 59.675 3.81 (1) 75.00s 0.67f -1.60 1.84 81.222 1.45 (1) 81.14s 0.55f -2.41 1.41 91.213 0.00 (1) FldPt85.00s 0.46f -2.91 1.11 96.076 -0.91 (1) 95.00s 0.20f -4.20 0.24 102.948 -3.22 (1) 97.41s 0.13f -4.50 0.00 103.232 -3.76 (1) RaZero

105.00s 0.10a -5.42 -0.74 100.450 -5.39 (1) 115.00s 0.41a -6.53 -1.69 88.271 -7.38 (1)

Note: Residual Righting Arms shown above are in excess of the overturning arms derived from these moments (in ft-LT): Stbd heeling mmt= 103.18Cos(heel) + 0.00in(heel) <= 90 deg Stbd heeling mmt= 0.00 > 90 deg Unprotected Flood Points

Name L,T,V (ft) Height (ft) (1) PILOT HOUSE VENT 62.000a, 6.000s, 19.000 14.495(2) PILOT HOUSE VENT 62.000a, 6.000p, 19.000 11.735 2-5-2-1-3 WIND HEELING ARMS Limit Min/Max Actual Margin Pass (1) Rise in Abs. RA from Equilibrium to MaxRA >60.0% 2.850 2.250 Yes (2) Absolute Area Ratio from Roll to RAzero or Flood >1.400 2.253 0.853 Yes

86


Arms in ft

0.0s 50.0s 100.0s

-2.0

-1.0

0.0

1.0

2.0

3.0

Righting ArmHeeling ArmR. Area / 100EquilibriumFlood Pt

87

MINIMUM OPERATING CONDITION Floating Status Draft FP 4.228 ft Heel stbd 6.35 deg. GM(Solid) 7.728 ft Draft MS 3.576 ft Equil Yes F/S Corr. 0.019 ft Draft AP 2.923 ft Wind 0.0 kn GM(Fluid) 7.709 ft Trim fwd 1.19/105.20 Wave No KMT 13.738 ft LCG 67.225a ft VCG 6.058 ft TPIn 3.86 Loading Summary Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Light Ship 86.59 68.170a 0.000 6.260Deadweight 9.12 58.260a 0.046p 4.138Displacement 95.71 67.225a 0.004p 6.058 Fixed Weight Status Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)


88


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm


(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm


LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

KML (ft)

KMT (ft)


89


Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm(ft)

Area (ft-Deg)

Flood Pt Height

(ft)

Notes

25.00p 0.89f 3.46 -3.49 0.000 12.18 (2) Roll15.00p 0.73f 3.95 -2.96 -32.247 13.63 (2)

5.00p 0.64f 4.23 -1.94 -57.136 14.87 (2) 5.00s 0.64f 4.23 -0.19 -68.366 14.87 (1) 6.37s 0.65f 4.20 0.00 -68.495 14.71 (1) Equil

15.00s 0.73f 3.95 0.90 -64.251 13.63 (1) 25.00s 0.89f 3.46 1.55 -51.651 12.18 (1) 35.00s 1.07f 2.74 2.08 -33.362 10.54 (1) 45.00s 1.20f 1.76 2.52 -10.274 8.73 (1) 49.48s 1.24f 1.29 2.56 1.120 7.84 (1) MaxRa55.00s 1.29f 0.70 2.49 15.145 6.68 (1) 65.00s 1.29f -0.48 2.10 38.431 4.47 (1) 75.00s 1.19f -1.78 1.46 56.473 2.18 (1) 84.43s 1.01f -3.03 0.74 66.957 0.00 (1) FldPt85.00s 1.00f -3.11 0.69 67.364 -0.13 (1) 92.46s 0.81f -4.09 0.03 70.098 -1.84 (1) 95.00s 0.74f -4.42 -0.24 69.836 -2.41 (1) RaZero

105.00s 0.43f -5.66 -1.27 62.406 -4.59 (1) 115.00s 0.09f -6.78 -2.25 44.766 -6.60 (1)



90


Arms in ft

0.0s 50.0s 100.0s

-2.0

-1.0

0.0

1.0

2.0

3.0Righting ArmHeeling ArmR. Area / 100EquilibriumFlood Pt

91

LIGHTSHIP CONDITION Floating Status Draft FP 3.824 ft Heel stbd 7.15 deg. GM(Solid) 7.325 ft Draft MS 3.327 ft Equil Yes F/S Corr. 0.000 ft Draft AP 2.831 ft Wind 0.0 kn GM(Fluid) 7.325 ft Trim fwd 0.90/105.20 Wave No KMT 13.528 ft LCG 68.170a ft VCG 6.260 ft TPIn 3.71 Loading Summary Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Light Ship 86.59 68.170a 0.000 6.260Displacement 86.59 68.170a 0.000 6.260 Fixed Weight Status Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

LIGHT SHIP 86.59 68.170a 0.000 6.260u 40MM AMMUNITION 0.00 0.000 0.000 0.000 50 CAL AMMUNITION 0.00 0.000 0.000 0.000 CREW AND EFFECTS 0.00 0.000 0.000 0.000 DECK CARGO 0.00 0.000 0.000 0.000 STORES 0.00 0.000 0.000 0.000Total Fixed: 86.59 68.170a 0.000 6.260u Displacer Status Item Status Spgr Displ

(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm


LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

KML (ft)

KMT (ft)


92


Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm(ft)

Area (ft-Deg)

Flood Pt Height

(ft)

Notes

25.00p 0.74f 3.06 -3.59 0.000 12.42 (2) Roll15.00p 0.57f 3.55 -3.09 -33.403 13.86 (2)

5.00p 0.48f 3.84 -2.08 -59.676 15.09 (2) 5.00s 0.48f 3.84 -0.30 -72.187 15.09 (1) 7.19s 0.49f 3.79 0.01 -72.507 14.84 (1) Equil

15.00s 0.57f 3.55 0.79 -69.126 13.86 (1) 25.00s 0.74f 3.06 1.43 -57.693 12.42 (1) 35.00s 0.94f 2.36 1.93 -40.760 10.78 (1) 45.00s 1.10f 1.40 2.41 -19.011 8.98 (1) 50.01s 1.16f 0.87 2.47 -6.745 7.99 (1) MaxRa55.00s 1.20f 0.32 2.41 5.488 6.96 (1) 65.00s 1.19f -0.92 2.00 27.857 4.80 (1) 75.00s 1.07f -2.27 1.33 44.708 2.55 (1) 85.00s 0.86f -3.65 0.54 54.173 0.26 (1) 86.17s 0.84f -3.81 0.44 54.746 0.00 (1) FldPt90.63s 0.72f -4.41 0.05 55.847 -1.02 (1) 95.00s 0.60f -4.99 -0.42 55.071 -2.00 (1) RaZero

105.00s 0.28f -6.23 -1.48 45.650 -4.17 (1) 115.00s 0.06a -7.34 -2.49 25.725 -6.19 (1)



93


Arms in ft

0.0s 50.0s 100.0s

-2.0

-1.0

0.0

1.0

2.0


94

D 3. Damaged Output FOREPEAK AND STORES DAMAGED FULL LOAD CONDITION Floating Status Draft FP 5.547 ft Heel stbd 0.28 deg. GM(Solid) 10.041 ft Draft MS 4.292 ft Equil Yes F/S Corr. 0.001 ft Draft AP 3.036 ft Wind 0.0 kn GM(Fluid) 10.041 ft Trim fwd 2.30/105.20 Wave No KMT 15.549 ft LCG 68.065a ft VCG 5.510 ft TPIn 4.07 Fixed Weight Status Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

LIGHT SHIP 86.59 68.170a 0.000 6.260u 40MM AMMUNITION 0.50 20.000a 0.000 1.700u 50 CAL AMMUNITION 0.50 89.600a 0.000 10.900u CREW AND EFFECTS 1.16 72.300a 0.000 14.500u DECK CARGO 0.41 102.900a 0.000 12.900u STORES 0.23 57.000a 0.000 10.000uTotal Fixed: 89.39 68.205a 0.000 6.407u Tank Status FRESH WATER (SpGr 1.000) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

FUELDAY.P 100.00% 1.87 67.040a 2.368p 1.542 0.980FUELDAY.S 100.00% 1.87 67.040a 2.368s 1.542 0.980FUELOIL1.S 100.00% 3.74 48.509a 1.779s 1.317 0.980FUELOIL2.P 100.00% 3.74 48.509a 1.779p 1.317 0.980FUELOIL3.S 100.00% 4.11 106.666a 4.604s 3.884 0.980FUELOIL4.P 100.00% 4.11 106.666a 4.604p 3.884 0.980Subtotals: 100.00% 19.43 76.660a 0.000 2.446 LUBE OIL (SpGr 0.924) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

DIRTYOIL.P 10.02% 0.08 75.318a 0.528p 0.316 0.980LUBEOIL.S 100.00% 0.78 75.860a 1.636s 0.996 0.980Subtotals: 55.01% 0.86 75.810a 1.439s 0.934 All Tanks

95

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm

HULL.C Intact 1.025 123.99 64.187a 0.059s 2.702 1.000BHD1.C Flooded 1.025 -0.73 11.617a 0.005s 4.330 0.950BHD2.C Flooded 1.025 -6.98 19.164a 0.014s 3.355 0.950SEWAGE.C Flooded 1.025 -1.87 19.626a 0.000 1.671 0.980SubTotals: 114.39 68.003a 0.063s 2.668 Unprotected Flood Points

Name L,T,V (ft) Height (ft) (1) PILOT HOUSE VENT 62.000a, 6.000s, 19.000 14.774(2) PILOT HOUSE VENT 62.000a, 6.000s, 19.000 14.774 Hydrostatic Properties with Damage Draft is from Baseline. Trim: fwd 2.30/105.20, heel: stbd 0.28 deg., VCG = 5.51

LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Fluid)

(ft) 3.999 114.392 68.003a 2.668 70.873a 4.072 25.047 276.416 10.041 Water Specific Gravity = 1.025. Trim is per 105.20ft

96

Residual Righting Arms vs Heel Angle with Damage

Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm(ft)

Area (ft-Deg)

Flood Pt Height

(ft)

Notes

14.00p 1.31f 5.32 -2.04 0.000 15.98 (1) Roll4.00p 1.25f 5.53 -0.75 -13.939 15.19 (1) 0.35s 1.25f 5.55 0.01 -15.595 14.77 (1) Equil6.00s 1.25f 5.51 0.97 -12.853 14.11 (1)

16.00s 1.33f 5.25 2.13 3.241 12.80 (1) 26.00s 1.44f 4.68 2.86 28.517 11.32 (1) 36.00s 1.52f 3.77 3.45 60.186 9.71 (1) 43.50s 1.51f 2.95 3.59 86.744 8.33 (1) MaxRa46.00s 1.50f 2.67 3.58 95.708 7.83 (1) 56.00s 1.46f 1.54 3.28 130.342 5.69 (1) 66.00s 1.41f 0.40 2.70 160.480 3.38 (1) 76.00s 1.33f -0.78 1.92 183.716 1.00 (1) 80.17s 1.28f -1.28 1.55 190.955 0.00 (1) FldPt86.00s 1.21f -1.96 1.01 198.443 -1.39 (1) 96.00s 1.04f -3.11 0.05 203.823 -3.72 (1)

Note: Residual Righting Arms shown above are in excess of the overturning arms derived from these moments (in ft-LT): Stbd heeling mmt= 4.55Cos^2(heel) + 0.00 <= 90 deg Stbd heeling mmt= 0.00 > 90 deg Unprotected Flood Points

Name L,T,V (ft) Height (ft) (1) PILOT HOUSE VENT 62.000a, 6.000s, 19.000 15.976 2-5-3-3-5 DAMAGE WIND HEELING ARMS Limit Min/Max Actual Margin Pass (1) Absolute Angle at Equilibrium <15.00 deg 0.35 14.65 Yes (2) Absolute Area Ratio from Roll to RAzero or Flood >1.400 82.893 81.493 Yes (3) Area from Equilibrium to Flood >5.000 ft-D 206.550 201.550 Yes (4) Righting Arm at MaxRA >0.29 ft 3.59 3.30 Yes

97


Arms in ft

0.0s 50.0s 100.0s

-2.0

-1.0

0.0

1.0

2.0

3.0


98

MINIMUM OPERATING CONDITION Floating Status Draft FP 5.001 ft Heel stbd 0.17 deg. GM(Solid) 11.629 ft Draft MS 3.850 ft Equil Yes F/S Corr. 0.052 ft Draft AP 2.699 ft Wind 0.0 kn GM(Fluid) 11.577 ft Trim fwd 2.11/105.20 Wave No KMT 17.761 ft LCG 68.043a ft VCG 6.135 ft TPIn 4.04 Fixed Weight Status Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

FRESHWATER.P 10.01% 0.24 28.145a 0.640p 0.587 0.980FRESHWATER.S 10.01% 0.24 28.145a 0.644s 0.587 0.980Subtotals: 10.01% 0.47 28.145a 0.002s 0.587

99

FUEL OIL (SpGr 0.870) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm


(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm



LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Fluid)


100


Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm(ft)

Area (ft-Deg)

Flood Pt Height

(ft)

Notes


16.00s 1.28f 4.69 2.07 3.585 13.30 (1) 26.00s 1.42f 4.14 2.68 27.706 11.84 (1) 36.00s 1.51f 3.24 3.15 56.962 10.23 (1) 46.00s 1.52f 2.09 3.36 89.722 8.43 (1) 56.00s 1.53f 0.92 3.05 122.218 6.38 (1) 66.00s 1.50f -0.30 2.39 149.728 4.17 (1) 76.00s 1.45f -1.52 1.52 169.456 1.86 (1) 83.97s 1.36f -2.50 0.74 178.510 0.00 (1) FldPt86.00s 1.33f -2.74 0.53 179.805 -0.48 (1) 91.14s 1.25f -3.36 0.00 181.184 -1.67 (1) RaZero96.00s 1.15f -3.93 -0.50 179.959 -2.77 (1)



101


Arms in ft

0.0s 50.0s 100.0s

-2.0

-1.0

0.0

1.0

2.0

3.0


102

LIGHTSHIP CONDITION Floating Status Draft FP 4.766 ft Heel stbd 0.24 deg. GM(Solid) 12.569 ft Draft MS 3.679 ft Equil Yes F/S Corr. 0.000 ft Draft AP 2.593 ft Wind 0.0 kn GM(Fluid) 12.569 ft Trim fwd 1.99/105.20 Wave No KMT 18.827 ft LCG 68.170a ft VCG 6.260 ft TPIn 4.02 Fixed Weight Status Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

LIGHT SHIP 86.59 68.170a 0.000 6.260u 40MM AMMUNITION 0.00 0.000 0.000 0.000 50 CAL AMMUNITION 0.00 0.000 0.000 0.000 CREW AND EFFECTS 0.00 0.000 0.000 0.000 DECK CARGO 0.00 0.000 0.000 0.000 STORES 0.00 0.000 0.000 0.000Total Fixed: 86.59 68.170a 0.000 6.260u All Tanks Load

(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm

Displacer Status Item Status Spgr Displ

(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm


Name L,T,V (ft) Height (ft) (1) PILOT HOUSE VENT 62.000a, 6.000s, 19.000 15.377(2) PILOT HOUSE VENT 62.000a, 6.000s, 19.000 15.377Hydrostatic Properties with Damage Draft is from Baseline. Trim: fwd 1.99/105.20, heel: stbd 0.24 deg., VCG = 6.26

LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Solid)

(ft) 3.419 86.578 68.096a 2.312 71.306a 4.023 24.495 357.165 12.569 Water Specific Gravity = 1.025. Trim is per 105.20ft Residual Righting Arms vs Heel Angle with Damage

103

Heel Angle

(deg) Trim Angle

(deg) Origin Depth

(ft) Residual Arm

(ft) Area

(ft-Deg) Flood Pt Height

(ft)

Notes

14.00p 1.20f 4.52 -2.01 0.000 16.66 (1) Roll4.00p 1.09f 4.74 -0.83 -14.220 15.80 (1) 0.22s 1.08f 4.77 -0.01 -16.054 15.38 (1) Equil6.00s 1.10f 4.72 1.03 -13.139 14.74 (1)

16.00s 1.23f 4.44 2.07 3.198 13.49 (1) 26.00s 1.38f 3.89 2.66 27.249 12.04 (1) 36.00s 1.48f 3.01 3.10 56.194 10.43 (1) 46.00s 1.50f 1.85 3.36 88.629 8.66 (1) 56.00s 1.52f 0.65 3.06 121.184 6.65 (1) 66.00s 1.51f -0.60 2.38 148.725 4.47 (1) 76.00s 1.45f -1.86 1.49 168.263 2.20 (1) 85.47s 1.33f -3.04 0.53 177.913 0.00 (1) FldPt86.00s 1.33f -3.10 0.47 178.178 -0.12 (1) 90.46s 1.25f -3.65 0.00 179.241 -1.15 (1) RaZero96.00s 1.14f -4.31 -0.59 177.608 -2.41 (1)



104


Arms in ft

0.0s 50.0s 100.0s

-2.0

-1.0

0.0

1.0

2.0

3.0


105

STORES AND AMMUNITION STORAGE DAMAGED FULL LOAD CONDITION Floating Status Draft FP 7.019 ft Heel stbd 0.30 deg. GM(Solid) 10.098 ft Draft MS 4.790 ft Equil Yes F/S Corr. 0.001 ft Draft AP 2.562 ft Wind 0.0 kn GM(Fluid) 10.097 ft Trim fwd 4.08/105.20 Wave No KMT 15.674 ft LCG 68.895a ft VCG 5.585 ft TPIn 3.86 Fixed Weight Status Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

FRESHWATER.P 100.00% 2.35 28.540a 1.831p 1.947 0.980Subtotals: 100.00% 2.35 28.540a 1.831p 1.947 FUEL OIL (SpGr 0.870) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

DIRTYOIL.P 10.02% 0.08 74.922a 0.536p 0.322 0.980LUBEOIL.S 100.00% 0.78 75.860a 1.636s 0.996 0.980Subtotals: 55.01% 0.86 75.774a 1.439s 0.934 All Tanks Load Weight LCG TCG VCG Perm

106

(%) (LT) (ft) (ft) (ft) Totals: 22.64 71.623a 0.136p 2.337 Displacer Status Item Status Spgr Displ

(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm

HULL.C Intact 1.025 141.44 59.615a 0.057s 3.044 1.000BHD2.C Flooded 1.025 -10.07 19.028a 0.014s 4.086 0.950BHD3.C Flooded 1.025 -15.06 28.471a 0.025s 3.735 0.950SEWAGE.C Flooded 1.025 -1.87 19.626a 0.000 1.671 0.980FRESHWATER.S Flooded 1.025 -2.41 28.540a 1.831s 1.947 0.980SubTotals: 112.02 68.792a 0.027s 2.904 Unprotected Flood Points


LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Fluid)


107


Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm(ft)

Area (ft-Deg)

Flood Pt Height

(ft)

Notes


16.00s 2.38f 6.83 2.18 3.143 12.35 (1) 26.00s 2.51f 6.28 2.99 29.373 10.87 (1) 36.00s 2.64f 5.46 3.55 62.307 9.23 (1) 41.94s 2.75f 4.98 3.63 83.737 8.11 (1) MaxRa46.00s 2.81f 4.62 3.59 98.432 7.29 (1) 56.00s 2.90f 3.67 3.26 133.006 5.11 (1) 66.00s 2.91f 2.61 2.67 162.827 2.78 (1) 76.00s 2.79f 1.39 1.89 185.748 0.40 (1) 77.73s 2.74f 1.14 1.73 188.883 0.00 (1) FldPt86.00s 2.47f -0.06 0.96 200.089 -1.92 (1) 96.00s 2.10f -1.49 -0.01 204.894 -4.18 (1) RaZero



108


Arms in ft

0.0s 50.0s 100.0s

-2.0

-1.0

0.0

1.0

2.0

3.0


109


(LT) LCG (ft)

TCG (ft)

VCG (ft)


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

FRESHWATER.P 10.01% 0.24 27.815a 0.637p 0.594 0.980Subtotals: 10.01% 0.24 27.815a 0.637p 0.594

110

FUEL OIL (SpGr 0.870) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm


(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm

HULL.C Intact 1.025 120.58 58.411a 0.092s 2.836 1.000BHD2.C Flooded 1.025 -8.95 19.059a 0.021s 3.834 0.950BHD3.C Flooded 1.025 -13.48 28.466a 0.039s 3.502 0.950SEWAGE.C Flooded 1.025 -1.87 19.626a 0.000 1.671 0.980FRESHWATER.S Flooded 1.025 -2.41 28.540a 1.831s 1.947 0.980SubTotals: 93.86 68.007a 0.064s 2.692 Unprotected Flood Points


LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Fluid)


111


Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm(ft)

Area (ft-Deg)

Flood Pt Height

(ft)

Notes


16.00s 2.48f 6.48 2.10 2.325 12.80 (1) 26.00s 2.64f 5.96 2.80 27.220 11.33 (1) 36.00s 2.75f 5.08 3.34 58.051 9.72 (1) 42.60s 2.89f 4.52 3.45 80.554 8.52 (1) MaxRa46.00s 2.97f 4.23 3.42 92.240 7.85 (1) 56.00s 3.15f 3.30 3.06 125.001 5.75 (1) 66.00s 3.22f 2.23 2.41 152.574 3.50 (1) 76.00s 3.07f 0.87 1.52 172.384 1.22 (1) 81.35s 2.92f 0.09 0.99 179.105 0.00 (1) FldPt86.00s 2.78f -0.58 0.52 182.615 -1.06 (1) 91.04s 2.62f -1.30 0.00 183.924 -2.20 (1) RaZero96.00s 2.45f -1.99 -0.51 182.660 -3.31 (1)



112


Arms in ft

0.0s 50.0s 100.0s

-2.0

-1.0

0.0

1.0

2.0

3.0


113


(LT) LCG (ft)

TCG (ft)

VCG (ft)


(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm


(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm

HULL.C Intact 1.025 111.80 58.270a 0.114s 2.729 1.000BHD2.C Flooded 1.025 -8.31 19.081a 0.026s 3.684 0.950BHD3.C Flooded 1.025 -12.61 28.466a 0.048s 3.371 0.950SEWAGE.C Flooded 1.025 -1.87 19.626a 0.000 1.671 0.980FRESHWATER.S Flooded 1.025 -2.41 28.540a 1.831s 1.947 0.980SubTotals: 86.59 68.035a 0.086s 2.589

114

Unprotected Flood Points


LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Solid)


Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm(ft)

Area (ft-Deg)

Flood Pt Height

(ft)

Notes


16.00s 2.42f 6.22 2.11 1.831 13.00 (1) 26.00s 2.60f 5.70 2.79 26.710 11.54 (1) 36.00s 2.70f 4.82 3.32 57.405 9.94 (1) 43.12s 2.85f 4.19 3.46 81.681 8.65 (1) MaxRa46.00s 2.93f 3.94 3.44 91.635 8.09 (1) 56.00s 3.14f 3.01 3.09 124.658 6.02 (1) 66.00s 3.20f 1.89 2.41 152.389 3.82 (1) 76.00s 3.01f 0.46 1.47 171.994 1.58 (1) 82.97s 2.84f -0.56 0.77 179.822 0.00 (1) FldPt86.00s 2.75f -0.99 0.45 181.670 -0.69 (1) 90.29s 2.62f -1.59 0.00 182.639 -1.66 (1) RaZero96.00s 2.43f -2.38 -0.60 180.926 -2.93 (1)


Name L,T,V (ft) Height (ft) (1) PILOT HOUSE VENT 62.000a, 6.000s, 19.000 16.165

115

2-5-3-3-5 DAMAGE WIND HEELING ARMS Limit Min/Max Actual Margin Pass (1) Absolute Angle at Equilibrium <15.00 deg 0.51 14.49 Yes (2) Absolute Area Ratio from Roll to RAzero or Flood >1.400 59.316 57.916 Yes (3) Area from Equilibrium to Flood >5.000 ft-D 196.829 191.829 Yes (4) Righting Arm at MaxRA >0.29 ft 3.46 3.17 Yes


Arms in ft

0.0s 50.0s 100.0s

-2.0

-1.0

0.0

1.0

2.0

3.0


116

AMMUNITION STORAGE AND CREW DAMAGED FULL LOAD CONDITION Floating Status Draft FP 10.187 ft Heel stbd 0.56 deg. GM(Solid) 7.635 ft Draft MS 7.116 ft Equil Yes F/S Corr. 0.003 ft Draft AP 3.046 ft Wind 0.0 kn GM(Fluid) 7.632 ft Trim fwd 7.45/105.20 Wave No KMT 13.412 ft LCG 69.559a ft VCG 5.797 ft TPIn 2.70 Fixed Weight Status Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)


117


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

FUELDAY.P 100.00% 1.87 67.040a 2.368p 1.542 0.980FUELOIL2.P 100.00% 3.74 48.509a 1.779p 1.317 0.980FUELOIL3.S 100.00% 4.11 106.666a 4.604s 3.884 0.980FUELOIL4.P 100.00% 4.11 106.666a 4.604p 3.884 0.980Subtotals: 100.00% 13.82 85.576a 0.801p 2.873 LUBE OIL (SpGr 0.924) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm


(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm

HULL.C Intact 1.025 255.57 56.362a 0.066s 4.487 1.000BHD3.C Flooded 1.025 -28.97 28.437a 0.037s 5.586 0.950BHD4.C Flooded 1.025 -110.98 51.777a 0.058s 4.575 0.950FRESHWATER.S Flooded 1.025 -2.41 28.540a 1.831s 1.947 0.980FUELOIL1.S Flooded 1.025 -4.41 48.509a 1.779s 1.317 0.980FUELDAY.S Flooded 1.025 -2.20 67.040a 2.368s 1.542 0.980SubTotals: 106.60 69.457a 0.076p 4.345 Unprotected Flood Points

Name L,T,V (ft) Height (ft) (1) PILOT HOUSE VENT 62.000a, 6.000s, 19.000 12.114(2) PILOT HOUSE VENT 62.000a, 6.000s, 19.000 12.114

118

Hydrostatic Properties with Damage Draft is from Baseline. Trim: fwd 7.45/105.20, heel: stbd 0.56 deg., VCG = 5.80

LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Fluid)


Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm(ft)

Area (ft-Deg)

Flood Pt Height

(ft)

Notes


16.00s 4.01f 10.78 1.91 1.661 10.12 (1) 26.00s 4.23f 10.51 2.65 24.820 8.48 (1) 36.00s 4.45f 10.27 2.88 52.907 6.53 (1) 36.50s 4.53f 10.14 2.88 54.340 6.42 (1) MaxRa46.00s 4.70f 9.63 2.76 81.429 4.30 (1) 56.00s 4.76f 8.87 2.44 107.612 1.90 (1) 63.63s 4.72f 8.16 2.10 124.971 0.00 (1) FldPt66.00s 4.70f 7.91 1.98 129.817 -0.60 (1) 76.00s 4.53f 6.78 1.43 146.948 -3.10 (1) 86.00s 4.27f 5.50 0.81 158.207 -5.53 (1) 96.00s 3.92f 4.08 0.15 163.068 -7.78 (1)



119


Arms in ft

0.0s 50.0s 100.0s

-1.0

0.0

1.0

2.0


120


(LT) LCG (ft)

TCG (ft)

VCG (ft)


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

SEWAGE.C 90.00% 1.62 19.402a 0.038s 1.594 0.980Subtotals: 90.00% 1.62 19.402a 0.038s 1.594

121

FRESH WATER (SpGr 1.000) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

FUELDAY.P 97.98% 1.83 66.965a 2.332p 1.527 0.980Subtotals: 13.24% 1.83 66.965a 2.332p 1.527 LUBE OIL (SpGr 0.924) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm


(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm

HULL.C Intact 1.025 235.08 54.913a 0.157s 4.371 1.000BHD3.C Flooded 1.025 -27.92 28.431a 0.084s 5.457 0.950BHD4.C Flooded 1.025 -104.49 51.624a 0.135s 4.414 0.950FRESHWATER.S Flooded 1.025 -2.41 28.540a 1.831s 1.947 0.980FUELOIL1.S Flooded 1.025 -4.41 48.509a 1.779s 1.317 0.980FUELDAY.S Flooded 1.025 -2.20 67.040a 2.368s 1.542 0.980SubTotals: 93.64 67.177a 0.033s 4.272 Unprotected Flood Points


LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Fluid)


122


Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm(ft)

Area (ft-Deg)

Flood Pt Height

(ft)

Notes


16.00s 4.24f 10.64 1.82 -1.227 10.51 (1) 26.00s 4.45f 10.28 2.51 20.823 8.93 (1) 36.00s 4.75f 9.86 2.79 47.681 7.07 (1) 38.16s 4.81f 9.76 2.80 53.718 6.63 (1) MaxRa46.00s 4.98f 9.29 2.70 75.404 4.94 (1) 56.00s 5.10f 8.53 2.37 100.938 2.61 (1) 66.00s 5.11f 7.59 1.89 122.342 0.17 (1) 66.69s 5.10f 7.52 1.85 123.630 0.00 (1) FldPt76.00s 5.01f 6.48 1.30 138.338 -2.29 (1) 86.00s 4.79f 5.20 0.63 148.028 -4.67 (1) 94.64s 4.49f 3.95 0.00 150.772 -6.58 (1) RaZero96.00s 4.44f 3.74 -0.10 150.705 -6.88 (1)



123


Arms in ft

0.0s 50.0s 100.0s

-2.0

-1.0

0.0

1.0

2.0


124


(LT) LCG (ft)

TCG (ft)

VCG (ft)


(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm


(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm

HULL.C Intact 1.025 219.76 55.180a 0.226s 4.183 1.000BHD3.C Flooded 1.025 -26.06 28.436a 0.116s 5.223 0.950BHD4.C Flooded 1.025 -98.09 51.642a 0.193s 4.242 0.950FRESHWATER.S Flooded 1.025 -2.41 28.540a 1.831s 1.947 0.980FUELOIL1.S Flooded 1.025 -4.41 48.509a 1.779s 1.317 0.980FUELDAY.S Flooded 1.025 -2.20 67.040a 2.368s 1.542 0.980SubTotals: 86.59 68.018a 0.118s 4.078

125



LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Solid)


Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm(ft)

Area (ft-Deg)

Flood Pt Height

(ft)

Notes


16.00s 4.00f 10.07 1.80 -3.450 10.82 (1) 26.00s 4.12f 9.56 2.52 18.530 9.30 (1) 36.00s 4.34f 8.99 2.84 45.647 7.52 (1) 38.71s 4.40f 8.82 2.85 53.361 6.98 (1) MaxRa46.00s 4.51f 8.29 2.76 73.953 5.45 (1) 56.00s 4.59f 7.43 2.43 100.114 3.17 (1) 66.00s 4.58f 6.42 1.92 121.979 0.77 (1) 69.17s 4.56f 6.08 1.73 127.763 0.00 (1) FldPt76.00s 4.48f 5.28 1.29 138.108 -1.66 (1) 86.00s 4.27f 3.97 0.56 147.438 -4.00 (1) 93.15s 4.05f 2.95 0.00 149.478 -5.59 (1) 96.00s 3.94f 2.52 -0.22 149.166 -6.19 (1) RaZero


Name L,T,V (ft) Height (ft) (1) PILOT HOUSE VENT 62.000a, 6.000s, 19.000 13.989

126

2-5-3-3-5 DAMAGE WIND HEELING ARMS Limit Min/Max Actual Margin Pass (1) Absolute Angle at Equilibrium <15.00 deg 1.76 13.24 Yes (2) Absolute Area Ratio from Roll to RAzero or Flood >1.400 43.055 41.655 Yes (3) Area from Equilibrium to Flood >5.000 ft-D 144.926 139.926 Yes (4) Righting Arm at MaxRA >0.29 ft 2.85 2.56 Yes


Arms in ft

0.0s 50.0s 100.0s

-2.0

-1.0

0.0

1.0

2.0


127

CREW AND ENGINE ROOM DAMAGED FULL LOAD CONDITION Floating Status Draft FP 8.734 ft Heel stbd 0.82 deg. GM(Solid) 5.116 ft Draft MS 7.057 ft Equil Yes F/S Corr. 0.003 ft Draft AP 5.380 ft Wind 0.0 kn GM(Fluid) 5.113 ft Trim fwd 3.07/105.20 Wave No KMT 10.861 ft LCG 68.622a ft VCG 5.748 ft TPIn 2.10 Fixed Weight Status Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)


128


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

FUELDAY.P 100.00% 1.87 67.040a 2.368p 1.542 0.980FUELOIL2.P 100.00% 3.74 48.509a 1.779p 1.317 0.980FUELOIL3.S 100.00% 4.11 106.666a 4.604s 3.884 0.980FUELOIL4.P 100.00% 4.11 106.666a 4.604p 3.884 0.980Subtotals: 100.00% 13.82 85.576a 0.801p 2.873 LUBE OIL (SpGr 0.924) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

DIRTYOIL.P 10.02% 0.08 75.153a 0.523p 0.318 0.980Subtotals: 10.02% 0.08 75.153a 0.523p 0.318 All Tanks Load

(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm


(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm

HULL.C Intact 1.025 269.09 64.300a 0.091s 4.221 1.000BHD4.C Flooded 1.025 -105.89 52.693a 0.088s 4.395 0.950BHD5.C Flooded 1.025 -47.55 81.533a 0.108s 3.872 0.850FUELOIL1.S Flooded 1.025 -4.41 48.509a 1.779s 1.317 0.980FUELDAY.S Flooded 1.025 -2.20 67.040a 2.368s 1.542 0.980LUBEOIL.S Flooded 1.025 -0.87 75.860a 1.636s 0.996 0.980SubTotals: 108.17 68.582a 0.041p 4.402 Unprotected Flood Points


129

Hydrostatic Properties with Damage Draft is from Baseline. Trim: fwd 3.07/105.20, heel: stbd 0.82 deg., VCG = 5.75

LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Fluid)


Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm(ft)

Area (ft-Deg)

Flood Pt Height

(ft)

Notes


16.00s 1.56f 8.26 1.44 0.626 10.03 (1) 26.00s 1.34f 7.57 2.07 18.448 8.32 (1) 34.11s 1.12f 6.92 2.17 35.897 6.65 (1) MaxRa36.00s 1.07f 6.76 2.16 39.987 6.24 (1) 46.00s 0.78f 5.83 2.02 61.122 3.89 (1) 56.00s 0.47f 4.78 1.74 80.067 1.38 (1) 61.36s 0.31f 4.18 1.56 88.917 0.00 (1) FldPt66.00s 0.17f 3.64 1.38 95.730 -1.21 (1) 76.00s 0.12a 2.44 0.95 107.415 -3.79 (1) 86.00s 0.39a 1.23 0.50 114.695 -6.30 (1) 96.00s 0.61a 0.04 0.04 117.403 -8.65 (1)



130


Arms in ft

0.0s 50.0s 100.0s

-1.0

-0.5

0.0

0.5

1.0

1.5

2.0


131


(LT) LCG (ft)

TCG (ft)

VCG (ft)


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


132


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

FUELDAY.P 98.00% 1.83 66.979a 2.318p 1.527 0.980Subtotals: 13.24% 1.83 66.979a 2.318p 1.527 LUBE OIL (SpGr 0.924) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm


(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm

HULL.C Intact 1.025 238.11 63.488a 0.197s 3.941 1.000BHD4.C Flooded 1.025 -95.42 52.575a 0.187s 4.122 0.950BHD5.C Flooded 1.025 -41.41 81.484a 0.240s 3.553 0.850FUELOIL1.S Flooded 1.025 -4.41 48.509a 1.779s 1.317 0.980FUELDAY.S Flooded 1.025 -2.20 67.040a 2.368s 1.542 0.980LUBEOIL.S Flooded 1.025 -0.87 75.860a 1.636s 0.996 0.980SubTotals: 93.81 67.151a 0.050s 4.135 Unprotected Flood Points


LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Fluid)


133


Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm(ft)

Area (ft-Deg)

Flood Pt Height

(ft)

Notes


16.00s 1.75f 7.95 1.37 -1.538 10.55 (1) 26.00s 1.68f 7.29 2.09 15.991 8.96 (1) 34.34s 1.56f 6.62 2.22 34.278 7.37 (1) MaxRa36.00s 1.53f 6.47 2.22 37.949 7.02 (1) 46.00s 1.35f 5.54 2.05 59.510 4.80 (1) 56.00s 1.13f 4.49 1.72 78.482 2.38 (1) 65.41s 0.91f 3.44 1.32 92.832 0.00 (1) FldPt66.00s 0.90f 3.37 1.29 93.606 -0.15 (1) 76.00s 0.65f 2.19 0.80 104.100 -2.71 (1) 86.00s 0.39f 0.99 0.28 109.538 -5.22 (1) 91.23s 0.27f 0.37 0.01 110.320 -6.49 (1) 96.00s 0.16f -0.22 -0.26 109.748 -7.56 (1) RaZero



134


Arms in ft

0.0s 50.0s 100.0s

-1.5

-1.0

-0.5

0.0

0.5

1.0

1.5

2.0


135


(LT) LCG (ft)

TCG (ft)

VCG (ft)


(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm


(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm

HULL.C Intact 1.025 221.50 63.887a 0.301s 3.764 1.000BHD4.C Flooded 1.025 -88.61 52.619a 0.285s 3.939 0.950BHD5.C Flooded 1.025 -38.83 81.495a 0.367s 3.420 0.850FUELOIL1.S Flooded 1.025 -4.41 48.509a 1.779s 1.317 0.980FUELDAY.S Flooded 1.025 -2.20 67.040a 2.368s 1.542 0.980LUBEOIL.S Flooded 1.025 -0.87 75.860a 1.636s 0.996 0.980SubTotals: 86.59 68.103a 0.147s 3.948

136



LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Solid)


Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm(ft)

Area (ft-Deg)

Flood Pt Height

(ft)

Notes


16.00s 1.61f 7.49 1.33 -3.680 10.85 (1) 26.00s 1.57f 6.85 2.08 13.575 9.29 (1) 36.00s 1.48f 6.22 2.25 35.672 7.41 (1) 46.00s 1.28f 5.03 2.09 57.647 5.23 (1) 56.00s 1.08f 3.98 1.76 77.036 2.84 (1) 66.00s 0.86f 2.85 1.31 92.464 0.33 (1) 67.30s 0.83f 2.70 1.25 94.128 0.00 (1) FldPt76.00s 0.63f 1.68 0.80 103.070 -2.22 (1) 86.00s 0.40f 0.50 0.26 108.412 -4.73 (1) 90.08s 0.31f -0.01 0.01 108.969 -5.68 (1) 96.00s 0.17f -0.79 -0.38 107.879 -6.98 (1) RaZero


Name L,T,V (ft) Height (ft) (1) PILOT HOUSE VENT 62.000a, 6.000s, 19.000 14.050 2-5-3-3-5 DAMAGE WIND HEELING ARMS Limit Min/Max Actual Margin Pass (1) Absolute Angle at Equilibrium <15.00 deg 2.30 12.70 Yes

137

(2) Absolute Area Ratio from Roll to RAzero or Flood >1.400 31.898 30.498 Yes (3) Area from Equilibrium to Flood >5.000 ft-D 106.827 101.827 Yes (4) Righting Arm at MaxRA >0.29 ft 2.25 1.96 Yes


Arms in ft

0.0s 50.0s 100.0s

-1.5

-1.0

-0.5

0.0

0.5

1.0

1.5

2.0


138

ENGINE AND GENERATOR ROOMS DAMAGED FULL LOAD CONDITION Floating Status Draft FP 3.250 ft Heel stbd 0.51 deg. GM(Solid) 6.012 ft Draft MS 4.943 ft Equil Yes F/S Corr. 0.003 ft Draft AP 6.636 ft Wind 0.0 kn GM(Fluid) 6.009 ft Trim aft 3.10/105.20 Wave No KMT 11.542 ft LCG 67.937a ft VCG 5.533 ft TPIn 2.86 Fixed Weight Status Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)


139


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm


(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm

HULL.C Intact 1.025 186.36 76.163a 0.073s 3.394 1.000BHD5.C Flooded 1.025 -40.58 81.987a 0.076s 3.506 0.850BHD6.C Flooded 1.025 -31.09 98.441a 0.068s 3.723 0.850LUBEOIL.S Flooded 1.025 -0.87 75.860a 1.636s 0.996 0.980SubTotals: 113.83 68.004a 0.061s 3.283 Unprotected Flood Points


140

Hydrostatic Properties with Damage Draft is from Baseline. Trim: aft 3.10/105.20, heel: stbd 0.51 deg., VCG = 5.53

LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Fluid)


Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm(ft)

Area (ft-Deg)

Flood Pt Height

(ft)

Notes

14.00p 1.74a 2.96 -1.47 0.000 15.04 (1) Roll4.00p 1.69a 3.23 -0.47 -9.700 14.31 (1) 0.50s 1.69a 3.25 0.00 -10.763 13.87 (1) Equil6.00s 1.69a 3.20 0.58 -9.182 13.23 (1)

16.00s 1.77a 2.85 1.54 1.486 11.83 (1) 26.00s 2.09a 1.99 2.21 20.492 10.18 (1) 36.00s 2.54a 0.83 2.54 44.556 8.26 (1) 40.66s 2.76a 0.23 2.57 56.479 7.27 (1) MaxRa46.00s 3.02a -0.47 2.53 70.143 6.07 (1) 56.00s 3.52a -1.84 2.29 94.428 3.68 (1) 66.00s 4.02a -3.28 1.87 115.371 1.17 (1) 70.62s 4.25a -3.95 1.62 123.454 0.00 (1) FldPt76.00s 4.50a -4.73 1.31 131.369 -1.36 (1) 86.00s 4.91a -6.12 0.67 141.362 -3.83 (1) 95.77s 5.20a -7.36 0.00 144.689 -6.10 (1) RaZero96.00s 5.20a -7.39 -0.02 144.687 -6.15 (1)



141


Arms in ft

0.0s 50.0s 100.0s

-1.5

-1.0

-0.5

0.0

0.5

1.0

1.5

2.0


142

MINIMUM OPERATING CONDITION Floating Status Draft FP 3.220 ft Heel stbd 0.47 deg. GM(Solid) 6.365 ft Draft MS 4.429 ft Equil Yes F/S Corr. 0.081 ft Draft AP 5.638 ft Wind 0.0 kn GM(Fluid) 6.284 ft Trim aft 2.21/105.20 Wave No KMT 12.425 ft LCG 67.230a ft VCG 6.062 ft TPIn 2.81 Fixed Weight Status Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


143


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm


(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm


Name L,T,V (ft) Height (ft) (1) PILOT HOUSE VENT 62.000a, 6.000s, 19.000 14.424(2) PILOT HOUSE VENT 62.000a, 6.000s, 19.000 14.424 Hydrostatic Properties with Damage Draft is from Baseline. Trim: aft 2.21/105.20, heel: stbd 0.47 deg., VCG = 6.06

LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Fluid)


144


Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm(ft)

Area (ft-Deg)

Flood Pt Height

(ft)

Notes


16.00s 1.29a 2.79 1.55 1.667 12.42 (1) 26.00s 1.41a 2.08 2.18 20.574 10.84 (1) 36.00s 1.62a 1.05 2.52 44.358 9.04 (1) 40.85s 1.76a 0.48 2.56 56.724 8.06 (1) MaxRa46.00s 1.92a -0.16 2.52 69.823 6.97 (1) 56.00s 2.27a -1.48 2.24 93.848 4.67 (1) 66.00s 2.70a -2.92 1.75 114.004 2.24 (1) 75.12s 3.10a -4.27 1.14 127.308 0.00 (1) FldPt76.00s 3.13a -4.40 1.08 128.288 -0.22 (1) 86.00s 3.53a -5.83 0.31 135.337 -2.64 (1) 89.90s 3.67a -6.37 0.00 135.950 -3.56 (1) RaZero96.00s 3.86a -7.16 -0.49 134.458 -4.95 (1)



145


Arms in ft

0.0s 50.0s 100.0s

-1.5

-1.0

-0.5

0.0

0.5

1.0

1.5

2.0


146

LIGHTSHIP CONDITION Floating Status Draft FP 2.904 ft Heel stbd 0.59 deg. GM(Solid) 6.674 ft Draft MS 4.156 ft Equil Yes F/S Corr. 0.000 ft Draft AP 5.408 ft Wind 0.0 kn GM(Fluid) 6.674 ft Trim aft 2.29/105.20 Wave No KMT 12.932 ft LCG 68.170a ft VCG 6.260 ft TPIn 2.76 Fixed Weight Status Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)


(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm


(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm


Name L,T,V (ft) Height (ft) (1) PILOT HOUSE VENT 62.000a, 6.000s, 19.000 14.680(2) PILOT HOUSE VENT 62.000a, 6.000s, 19.000 14.680Hydrostatic Properties with Damage Draft is from Baseline. Trim: aft 2.29/105.20, heel: stbd 0.59 deg., VCG = 6.26

LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Solid)


147

Heel Angle

(deg) Trim Angle

(deg) Origin Depth

(ft) Residual Arm

(ft) Area


(ft)

Notes


16.00s 1.35a 2.44 1.55 1.260 12.70 (1) 26.00s 1.42a 1.76 2.17 20.110 11.14 (1) 36.00s 1.57a 0.77 2.51 43.717 9.37 (1) 41.54s 1.70a 0.12 2.56 57.817 8.28 (1) MaxRa46.00s 1.82a -0.44 2.53 69.188 7.35 (1) 56.00s 2.16a -1.79 2.25 93.321 5.10 (1) 66.00s 2.60a -3.28 1.71 113.342 2.72 (1) 76.00s 3.05a -4.82 0.99 127.005 0.30 (1) 77.26s 3.10a -5.02 0.89 128.192 0.00 (1) FldPt86.00s 3.46a -6.31 0.17 132.883 -2.09 (1) 88.04s 3.54a -6.60 0.00 133.059 -2.57 (1) RaZero96.00s 3.82a -7.67 -0.68 130.381 -4.39 (1)



148


Arms in ft

0.0s 50.0s 100.0s

-1.5

-1.0

-0.5

0.0

0.5

1.0

1.5

2.0


149

GENERATOR ROOM AND STEERING DAMAGED FULL LOAD CONDITION Floating Status Draft FP 1.918 ft Heel stbd 0.66 deg. GM(Solid) 7.218 ft Draft MS 4.461 ft Equil Yes F/S Corr. 0.003 ft Draft AP 7.004 ft Wind 0.0 kn GM(Fluid) 7.215 ft Trim aft 4.65/105.20 Wave No KMT 12.773 ft LCG 66.554a ft VCG 5.562 ft TPIn 3.18 Fixed Weight Status Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)


150


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm

FUELDAY.P 100.00% 1.87 67.040a 2.368p 1.542 0.980FUELDAY.S 100.00% 1.87 67.040a 2.368s 1.542 0.980FUELOIL1.S 100.00% 3.74 48.509a 1.779s 1.317 0.980FUELOIL2.P 100.00% 3.74 48.509a 1.779p 1.317 0.980FUELOIL4.P 100.00% 4.11 106.666a 4.604p 3.884 0.980Subtotals: 100.00% 15.32 68.616a 1.234p 2.060 LUBE OIL (SpGr 0.924) Tank Name

Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm


(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm

HULL.C Intact 1.025 171.28 79.757a 0.098s 3.349 1.000BHD6.C Flooded 1.025 -31.91 98.485a 0.087s 3.788 0.850BHD7.C Flooded 1.025 -24.07 109.608a 0.072s 3.939 0.850FUELOIL3.S Flooded 1.025 -4.84 106.666a 4.604s 3.884 0.980SubTotals: 110.46 66.664a 0.090p 3.071 Unprotected Flood Points


151

Hydrostatic Properties with Damage Draft is from Baseline. Trim: aft 4.65/105.20, heel: stbd 0.66 deg., VCG = 5.56

LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Fluid)


Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm(ft)

Area (ft-Deg)

Flood Pt Height

(ft)

Notes

14.00p 2.46a 1.72 -1.69 0.000 15.50 (1) Roll4.00p 2.50a 1.92 -0.57 -11.290 14.72 (1) 0.59s 2.53a 1.92 -0.01 -12.624 14.26 (1) Equil6.00s 2.55a 1.85 0.67 -10.847 13.64 (1)

16.00s 2.66a 1.45 1.82 1.695 12.27 (1) 26.00s 2.79a 0.73 2.63 24.222 10.69 (1) 36.00s 3.06a -0.34 3.00 52.753 8.85 (1) 40.93s 3.25a -0.96 3.04 67.688 7.85 (1) MaxRa46.00s 3.48a -1.65 3.00 83.031 6.75 (1) 56.00s 4.04a -3.17 2.70 111.771 4.45 (1) 66.00s 4.68a -4.83 2.19 136.418 2.02 (1) 74.17s 5.20a -6.21 1.66 152.234 0.00 (1) FldPt76.00s 5.32a -6.51 1.53 155.152 -0.45 (1) 86.00s 5.87a -8.10 0.78 166.778 -2.88 (1) 95.76s 6.28a -9.47 0.00 170.610 -5.15 (1) RaZero96.00s 6.29a -9.50 -0.02 170.608 -5.20 (1)



152


Arms in ft

0.0s 50.0s 100.0s

-1.0

0.0

1.0

2.0


153

MINIMUM OPERATING CONDITION Floating Status Draft FP 1.553 ft Heel stbd 2.06 deg. GM(Solid) 7.278 ft Draft MS 4.066 ft Equil Yes F/S Corr. 0.045 ft Draft AP 6.579 ft Wind 0.0 kn GM(Fluid) 7.232 ft Trim aft 4.59/105.20 Wave No KMT 13.324 ft LCG 67.242a ft VCG 6.058 ft TPIn 3.03 Fixed Weight Status Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


154


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


Load (%)

Weight (LT)

LCG (ft)

TCG (ft)

VCG (ft)

Perm


(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm


(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm

HULL.C Intact 1.025 151.82 80.769a 0.334s 3.156 1.000BHD6.C Flooded 1.025 -29.12 98.497a 0.294s 3.575 0.850BHD7.C Flooded 1.025 -22.27 109.636a 0.245s 3.733 0.850FUELOIL3.S Flooded 1.025 -4.73 106.672a 4.644s 3.825 0.980SubTotals: 95.71 67.381a 0.154s 2.862 Unprotected Flood Points

Name L,T,V (ft) Height (ft) (1) PILOT HOUSE VENT 62.000a, 6.000s, 19.000 14.498(2) PILOT HOUSE VENT 62.000a, 6.000s, 19.000 14.498 Hydrostatic Properties with Damage Draft is from Baseline. Trim: aft 4.59/105.20, heel: stbd 2.06 deg., VCG = 6.06

LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Fluid)


155


Heel Angle (deg)

Trim Angle (deg)

Origin Depth (ft)

Residual Arm(ft)

Area (ft-Deg)

Flood Pt Height

(ft)

Notes


16.00s 2.65a 1.05 1.62 -3.426 12.68 (1) 26.00s 2.70a 0.37 2.39 16.920 11.14 (1) 36.00s 2.84a -0.61 2.76 43.008 9.37 (1) 41.12s 2.98a -1.24 2.81 57.309 8.36 (1) MaxRa46.00s 3.18a -1.91 2.77 70.967 7.34 (1) 56.00s 3.73a -3.50 2.44 97.290 5.10 (1) 66.00s 4.38a -5.23 1.88 119.124 2.74 (1) 76.00s 5.04a -6.99 1.18 134.543 0.32 (1) 77.35s 5.13a -7.23 1.07 136.057 0.00 (1) FldPt86.00s 5.63a -8.65 0.37 142.348 -2.07 (1) 90.41s 5.84a -9.31 0.00 143.168 -3.10 (1) RaZero96.00s 6.07a -10.09 -0.47 141.854 -4.38 (1)



156


Arms in ft

0.0s 50.0s 100.0s

-1.0

0.0

1.0

2.0


157

LIGHTSHIP CONDITION Floating Status Draft FP 1.190 ft Heel stbd 2.19 deg. GM(Solid) 7.341 ft Draft MS 3.803 ft Equil Yes F/S Corr. 0.000 ft Draft AP 6.417 ft Wind 0.0 kn GM(Fluid) 7.341 ft Trim aft 4.78/105.20 Wave No KMT 13.588 ft LCG 68.170a ft VCG 6.260 ft TPIn 2.92 Fixed Weight Status Item Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)


(%) Weight

(LT) LCG (ft)

TCG (ft)

VCG (ft)

Perm


(LT) LCB (ft)

TCB (ft)

VCB (ft)

Eff /Perm

HULL.C Intact 1.025 140.55 81.888a 0.371s 3.061 1.000BHD6.C Flooded 1.025 -27.84 98.511a 0.325s 3.476 0.850BHD7.C Flooded 1.025 -21.53 109.650a 0.268s 3.648 0.850FUELOIL3.S Flooded 1.025 -4.58 106.675a 4.644s 3.747 0.980SubTotals: 86.60 68.329a 0.185s 2.745 Unprotected Flood Points

Name L,T,V (ft) Height (ft) (1) PILOT HOUSE VENT 62.000a, 6.000s, 19.000 14.737(2) PILOT HOUSE VENT 62.000a, 6.000s, 19.000 14.737Hydrostatic Properties with Damage Draft is from Baseline. Trim: aft 4.78/105.20, heel: stbd 2.19 deg., VCG = 6.26

LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Solid)


158

Heel Angle

(deg) Trim Angle

(deg) Origin Depth

(ft) Residual Arm

(ft) Area


(ft)

Notes


16.00s 2.78a 0.64 1.62 -4.215 12.95 (1) 26.00s 2.80a -0.03 2.38 16.074 11.43 (1) 36.00s 2.89a -0.98 2.76 42.082 9.69 (1) 41.15s 3.02a -1.61 2.82 56.487 8.69 (1) MaxRa46.00s 3.22a -2.31 2.77 70.079 7.70 (1) 56.00s 3.82a -4.01 2.42 96.324 5.51 (1) 66.00s 4.53a -5.85 1.82 117.749 3.19 (1) 76.00s 5.23a -7.69 1.07 132.336 0.82 (1) 79.45s 5.45a -8.30 0.79 135.548 0.00 (1) FldPt86.00s 5.83a -9.38 0.22 138.869 -1.55 (1) 88.53s 5.96a -9.78 0.00 139.152 -2.14 (1) RaZero96.00s 6.27a -10.84 -0.66 136.703 -3.84 (1)



159


Arms in ft

0.0s 50.0s 100.0s

-2.0

-1.0

0.0

1.0

2.0


160

Appendix E: Structures

E 1. Auto Hydro Output Longitudinal Strength – Full Load Condition

Location (ft)

Weight (LT)

Buoyancy(LT/ft)

Shear (LT)

Bending (LT-ft)

0.000 0.000 0.000 0.00 00.000 0.362 7.515a 0.362 0.000 -2.72 108.385a 0.362 0.007 -3.03 129.583a 0.362 0.039 -3.44 1611.979a 0.362 0.165 -4.06 2513.333a 0.362 0.269 -4.26 3113.333a 0.690 14.374a 0.690 0.349 -4.65 3516.770a 0.690 0.549 -5.23 4719.166a 0.690 0.724 -5.36 6021.562a 0.690 0.851 -5.12 7223.333a 0.690 0.917 -4.78 8123.333a 0.989 23.958a 0.989 0.940 -4.82 8428.749a 0.989 1.057 -4.77 10733.333a 0.989 1.140 -4.27 12833.333a 0.957 33.541a 0.957 1.143 -4.23 12938.333a 0.957 1.205 -3.19 14643.124a 0.957 1.247 -1.90 15847.916a 0.957 1.272 -0.45 16452.707a 0.957 1.283 1.09 16257.499a 0.957 1.284 2.65 15362.291a 0.957 1.277 4.20 13667.082a 0.957 1.264 5.71 11271.667a 0.957 1.247 7.08 8371.667a 1.661 71.874a 1.661 1.247 6.99 8176.665a 1.661 1.227 4.96 5281.457a 1.661 1.200 2.82 3386.249a 1.661 1.170 0.54 2591.040a 1.661 1.138 -1.89 2891.667a 1.661 1.134 -2.22 2991.667a 0.672 95.832a 0.672 1.107 -0.35 34100.624a 0.672 1.074 1.66 31105.000a 0.672 1.041 3.34 20105.000a 1.292 105.415a 1.292 1.037 3.24 18110.207a 1.292 0.999 1.93 6112.603a 1.292 0.978 1.20 2113.202a 1.292 0.973 1.01 1113.501a 1.292 0.970 0.91 1113.801a 1.292 0.968 0.82 1

161

114.100a 1.292 0.965 0.72 0114.332a 1.292 0.965 0.64 0114.400a 1.292 0.793 0.62 0114.474a 1.292 0.610 0.57 0114.549a 1.292 0.448 0.51 0114.587a 1.292 0.377 0.48 0114.624a 1.292 0.312 0.45 0114.662a 1.292 0.252 0.41 0114.699a 1.292 0.199 0.37 0114.736a 1.292 0.153 0.33 0114.774a 1.292 0.112 0.28 0114.811a 1.292 0.078 0.24 0114.849a 1.292 0.050 0.19 0114.886a 1.292 0.028 0.15 0114.924a 1.292 0.013 0.10 0114.961a 1.292 0.003 0.05 0114.999a 1.292 0.000 0.00 0115.000a 0.000 0.000 0.00 0 Max. Shear 7.08 LT at 71.667a Max. Bending Moment 164 LT-ft at 47.916a (Hogging) Hydrostatic Properties Draft is from Baseline. Trim: fwd 1.91/105.20, No heel, VCG = 0.00

LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Solid)

(ft) 3.854 113.402 65.124a 2.558 68.185a 4.288 31.292 348.345 15.584 Water Specific Gravity = 1.025. Trim is per 105.20ft Phase of crest relative to origin:180.0 degrees (52.60 ft) Wave length: 105.200 ft Crest-to-trough height: 11.380 ft Angle of encounter: 0 degrees (following sea) Longitudinal Strength

Location (ft)

Weight (LT)

Buoyancy(LT/ft)

Shear (LT)

Bending (LT-ft)

0.000 0.000 0.000 0.00 00.000 0.360 13.333a 0.360 0.000 -4.80 3713.333a 0.686 23.333a 0.686 0.000 -11.66 12323.333a 0.983 31.932a 0.983 0.000 -20.11 26333.333a 0.983 0.032 -21.47 293

162

33.333a 0.951 33.541a 0.951 0.037 -21.66 29738.333a 0.951 0.601 -24.69 41143.124a 0.951 1.685 -23.77 53147.916a 0.951 2.730 -17.75 63452.707a 0.951 3.342 -7.76 69857.499a 0.951 3.348 3.71 71062.291a 0.951 2.903 14.13 66867.082a 0.951 2.275 21.97 58271.667a 0.951 1.646 26.60 47271.667a 1.651 71.874a 1.651 1.617 26.59 46676.665a 1.651 1.049 25.07 34381.457a 1.651 0.615 21.14 23386.249a 1.651 0.375 15.60 14791.040a 1.651 0.266 9.23 8991.667a 1.651 0.264 8.36 8391.667a 0.668 95.832a 0.668 0.255 6.66 54100.624a 0.668 0.336 4.87 28105.000a 0.668 0.532 3.85 11105.000a 1.284 105.415a 1.284 0.550 3.54 10110.207a 1.284 0.967 1.02 1112.603a 1.284 1.237 0.58 0113.202a 1.284 1.310 0.58 0113.501a 1.284 1.347 0.59 0113.801a 1.284 1.385 0.62 0114.100a 1.284 1.424 0.65 0114.144a 1.284 1.430 0.66 0114.400a 1.284 0.789 0.61 0114.474a 1.284 0.606 0.57 0114.549a 1.284 0.446 0.51 0114.587a 1.284 0.375 0.48 0114.624a 1.284 0.310 0.44 0114.662a 1.284 0.251 0.41 0114.699a 1.284 0.198 0.37 0114.736a 1.284 0.152 0.33 0114.774a 1.284 0.112 0.28 0114.811a 1.284 0.078 0.24 0114.849a 1.284 0.050 0.19 0114.886a 1.284 0.028 0.15 0114.924a 1.284 0.013 0.10 0114.961a 1.284 0.003 0.05 0114.999a 1.284 0.000 0.00 0115.000a 0.000 0.000 0.00 0 Max. Shear 26.60 LT at 71.667a Max. Bending Moment 710 LT-ft at 57.499a (Hogging)

163

Hydrostatic Properties Draft is from Baseline. Trim: aft 11.50/105.20, No heel, VCG = 0.00

LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Solid)

(ft) 4.397 113.402 64.695a 3.505 73.350a 3.237 16.078 178.979 12.673 Water Specific Gravity = 1.025. Trim is per 105.20ft Wave in effect. Phase of crest relative to origin:0.0 degrees (0.00 ft) Wave length: 105.200 ft Crest-to-trough height: 11.380 ft Angle of encounter: 0 degrees (following sea) Longitudinal Strength

Location (ft)

Weight (LT)

Buoyancy(LT/ft)

Shear (LT)

Bending (LT-ft)

0.000 0.000 0.000 0.00 00.000 0.360 0.037a 0.360 0.000 -0.01 00.074a 0.360 0.000 -0.03 00.112a 0.360 0.000 -0.04 00.149a 0.360 0.000 -0.05 00.187a 0.360 0.001 -0.07 00.224a 0.360 0.001 -0.08 00.262a 0.360 0.001 -0.09 00.299a 0.360 0.002 -0.11 00.336a 0.360 0.002 -0.12 00.374a 0.360 0.003 -0.13 00.411a 0.360 0.003 -0.15 00.449a 0.360 0.004 -0.16 00.524a 0.360 0.005 -0.19 00.598a 0.360 0.007 -0.21 00.673a 0.360 0.008 -0.24 00.748a 0.360 0.010 -0.27 00.823a 0.360 0.013 -0.29 00.898a 0.360 0.015 -0.32 01.048a 0.360 0.020 -0.37 01.197a 0.360 0.026 -0.42 01.347a 0.360 0.033 -0.47 01.497a 0.360 0.041 -0.52 01.647a 0.360 0.049 -0.57 01.796a 0.360 0.058 -0.61 02.096a 0.360 0.078 -0.70 02.395a 0.360 0.100 -0.78 02.994a 0.360 0.153 -0.92 03.593a 0.360 0.214 -1.03 14.192a 0.360 0.282 -1.09 1

164

4.791a 0.360 0.354 -1.12 25.989a 0.360 0.515 -1.03 27.187a 0.360 0.694 -0.74 38.385a 0.360 0.889 -0.22 39.583a 0.360 1.098 0.54 311.979a 0.360 1.548 2.84 -213.333a 0.360 1.824 4.64 -813.333a 0.687 14.374a 0.687 2.037 5.93 -1415.450a 0.687 2.247 7.50 -2116.770a 0.687 2.269 9.57 -3319.166a 0.687 2.230 13.31 -6121.562a 0.687 2.101 16.86 -9823.333a 0.687 1.953 19.23 -13123.333a 0.985 23.958a 0.985 1.900 19.82 -14428.749a 0.985 1.382 22.96 -24933.333a 0.985 0.836 23.53 -35833.333a 0.953 33.541a 0.953 0.811 23.50 -36338.333a 0.953 0.371 21.77 -47443.124a 0.953 0.112 18.36 -57347.916a 0.953 0.010 14.08 -65350.680a 0.953 0.000 11.46 -68971.374a 0.953 0.000 -8.26 -73071.667a 0.953 0.000 -8.53 -72871.667a 1.654 71.874a 1.654 0.000 -8.88 -72676.665a 1.654 0.058 -16.66 -66781.457a 1.654 0.295 -23.74 -57186.249a 1.654 0.825 -28.98 -44691.040a 1.654 1.597 -31.10 -30291.667a 1.654 1.691 -31.11 -28391.667a 0.669 95.832a 0.669 2.316 -25.55 -165100.624a 0.669 2.800 -16.50 -66105.000a 0.669 2.773 -7.23 -15105.000a 1.286 105.415a 1.286 2.770 -6.62 -13110.207a 1.286 2.129 -1.04 3112.603a 1.286 1.638 0.39 2113.202a 1.286 1.504 0.56 2113.501a 1.286 1.436 0.61 1113.801a 1.286 1.367 0.65 1114.100a 1.286 1.297 0.66 1114.207a 1.286 1.274 0.66 1114.400a 1.286 0.790 0.61 0114.474a 1.286 0.607 0.57 0114.549a 1.286 0.446 0.51 0114.587a 1.286 0.375 0.48 0114.624a 1.286 0.310 0.44 0114.662a 1.286 0.251 0.41 0

165

114.699a 1.286 0.199 0.37 0114.736a 1.286 0.152 0.33 0114.774a 1.286 0.112 0.28 0114.811a 1.286 0.078 0.24 0114.849a 1.286 0.050 0.19 0114.886a 1.286 0.028 0.15 0114.924a 1.286 0.013 0.10 0114.961a 1.286 0.003 0.05 0114.999a 1.286 0.000 0.00 0115.000a 0.000 0.000 0.00 0 Max. Shear -31.11 LT at 91.667a Max. Bending Moment -730 LT-ft at 71.374a (Sagging) Hydrostatic Properties Draft is from Baseline. Trim: fwd 9.84/105.20, No heel, VCG = 0.00

LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Solid)

(ft) 0.063 113.402 65.470a 4.195 73.175a 2.570 28.248 314.457 11.024 Water Specific Gravity = 1.025. Trim is per 105.20ft Wave in effect. Longitudinal Strength – Minimum Operating

Location (ft)

Weight (LT)

Buoyancy(LT/ft)

Shear (LT)

Bending (LT-ft)

0.000 0.000 0.000 0.00 00.000 0.362 7.897a 0.362 0.000 -2.86 118.385a 0.362 0.002 -3.03 129.583a 0.362 0.025 -3.45 1611.979a 0.362 0.135 -4.13 2513.333a 0.362 0.230 -4.37 3113.333a 0.831 14.374a 0.831 0.303 -4.96 3616.770a 0.831 0.488 -6.00 4919.166a 0.831 0.649 -6.63 6421.562a 0.831 0.763 -6.93 8023.333a 0.831 0.819 -7.00 9323.333a 0.557 23.958a 0.557 0.839 -6.83 9728.749a 0.557 0.934 -5.25 12633.333a 0.557 0.997 -3.38 14633.333a 0.705 33.541a 0.705 1.000 -3.32 146

166

38.333a 0.705 1.045 -1.79 15843.124a 0.705 1.073 -0.10 16347.916a 0.705 1.084 1.70 15952.707a 0.705 1.083 3.51 14657.499a 0.705 1.072 5.30 12562.291a 0.705 1.054 7.02 9567.082a 0.705 1.032 8.64 5771.667a 0.705 1.005 10.07 1471.667a 1.656 71.874a 1.656 1.004 9.94 1276.665a 1.656 0.975 6.75 -2881.457a 1.656 0.940 3.40 -5386.249a 1.656 0.903 -0.11 -6191.040a 1.656 0.864 -3.81 -5291.667a 1.656 0.859 -4.31 -4991.667a 0.641 95.832a 0.641 0.827 -3.47 -33100.624a 0.641 0.788 -2.67 -19105.000a 0.641 0.751 -2.11 -8105.000a 0.472 105.415a 0.472 0.748 -1.99 -7110.207a 0.472 0.705 -0.77 -1112.603a 0.472 0.684 -0.24 0113.202a 0.472 0.679 -0.11 0113.501a 0.472 0.676 -0.05 0113.801a 0.472 0.673 0.01 0114.100a 0.472 0.670 0.07 0114.400a 0.472 0.668 0.13 0114.450a 0.472 0.669 0.14 0114.474a 0.472 0.610 0.14 0114.549a 0.472 0.448 0.15 0114.587a 0.472 0.377 0.14 0114.624a 0.472 0.312 0.14 0114.662a 0.472 0.252 0.13 0114.699a 0.472 0.199 0.12 0114.736a 0.472 0.153 0.11 0114.774a 0.472 0.112 0.10 0114.811a 0.472 0.078 0.08 0114.849a 0.472 0.050 0.07 0114.886a 0.472 0.028 0.05 0114.924a 0.472 0.013 0.04 0114.961a 0.472 0.003 0.02 0114.999a 0.472 0.000 0.00 0115.000a 0.000 0.000 0.00 0 Max. Shear 10.07 LT at 71.667a Max. Bending Moment 163 LT-ft at 43.124a (Hogging) Hydrostatic Properties

167

Draft is from Baseline. Trim: fwd 2.18/105.20, No heel, VCG = 0.00

LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Solid)

(ft) 3.432 92.118 63.286a 2.328 68.492a 4.235 30.483 417.745 17.939 Water Specific Gravity = 1.025. Trim is per 105.20ft Phase of crest relative to origin:180.0 degrees (52.60 ft) Wave length: 105.200 ft Crest-to-trough height: 11.380 ft Angle of encounter: 0 degrees (following sea) Longitudinal Strength

Location (ft)

Weight (LT)

Buoyancy(LT/ft)

Shear (LT)

Bending (LT-ft)

0.000 0.000 0.000 0.00 00.000 0.360 13.333a 0.360 0.000 -4.80 3613.333a 0.826 23.333a 0.826 0.000 -13.06 12823.333a 0.554 33.301a 0.554 0.000 -18.58 28933.333a 0.554 0.000 -18.60 28933.333a 0.701 33.541a 0.701 0.001 -18.74 29338.333a 0.701 0.392 -21.16 39143.124a 0.701 1.377 -20.28 49447.916a 0.701 2.401 -14.58 58052.707a 0.701 3.008 -4.98 63057.499a 0.701 3.017 6.09 62962.291a 0.701 2.577 16.14 57667.082a 0.701 1.952 23.63 48171.667a 0.701 1.323 27.93 36371.667a 1.646 71.874a 1.646 1.294 27.86 35776.665a 1.646 0.735 24.83 23181.457a 1.646 0.374 19.60 12586.249a 1.646 0.190 13.06 4891.040a 1.646 0.112 5.90 491.667a 1.646 0.111 4.94 191.667a 0.637 95.832a 0.637 0.103 2.73 -14100.624a 0.637 0.154 0.29 -20105.000a 0.637 0.291 -1.52 -15105.000a 0.469 105.415a 0.469 0.304 -1.59 -15110.207a 0.469 0.642 -1.57 -5112.603a 0.469 0.908 -0.84 -1113.202a 0.469 0.981 -0.56 -1

168

113.501a 0.469 1.018 -0.40 -1113.801a 0.469 1.055 -0.23 0114.100a 0.469 1.094 -0.05 0114.269a 0.469 1.118 0.06 0114.400a 0.469 0.789 0.12 0114.474a 0.469 0.606 0.14 0114.549a 0.469 0.446 0.14 0114.587a 0.469 0.375 0.14 0114.624a 0.469 0.310 0.14 0114.662a 0.469 0.251 0.13 0114.699a 0.469 0.198 0.12 0114.736a 0.469 0.152 0.11 0114.774a 0.469 0.112 0.10 0114.811a 0.469 0.078 0.08 0114.849a 0.469 0.050 0.07 0114.886a 0.469 0.028 0.05 0114.924a 0.469 0.013 0.04 0114.961a 0.469 0.003 0.02 0114.999a 0.469 0.000 0.00 0115.000a 0.000 0.000 0.00 0 Max. Shear 27.93 LT at 71.667a Max. Bending Moment 630 LT-ft at 52.707a (Hogging) Hydrostatic Properties Draft is from Baseline. Trim: aft 11.51/105.20, No heel, VCG = 0.00

LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Solid)

(ft) 4.150 92.119 62.873a 3.334 72.011a 2.864 13.872 190.097 12.544 Water Specific Gravity = 1.025. Trim is per 105.20ft Wave in effect. Phase of crest relative to origin:0.0 degrees (0.00 ft) Wave length: 105.200 ft Crest-to-trough height: 11.380 ft Angle of encounter: 0 degrees (following sea) Longitudinal Strength

Location (ft)

Weight (LT)

Buoyancy(LT/ft)

Shear (LT)

Bending (LT-ft)

0.000 0.000 0.000 0.00 00.000 0.360 0.037a 0.360 0.000 -0.01 00.074a 0.360 0.000 -0.03 0

169

0.112a 0.360 0.000 -0.04 00.149a 0.360 0.000 -0.05 00.187a 0.360 0.001 -0.07 00.224a 0.360 0.001 -0.08 00.262a 0.360 0.001 -0.09 00.299a 0.360 0.002 -0.11 00.336a 0.360 0.002 -0.12 00.374a 0.360 0.003 -0.13 00.411a 0.360 0.003 -0.15 00.449a 0.360 0.004 -0.16 00.524a 0.360 0.005 -0.19 00.598a 0.360 0.007 -0.21 00.673a 0.360 0.008 -0.24 00.748a 0.360 0.010 -0.27 00.823a 0.360 0.013 -0.29 00.898a 0.360 0.015 -0.32 01.048a 0.360 0.020 -0.37 01.197a 0.360 0.026 -0.42 01.347a 0.360 0.033 -0.47 01.497a 0.360 0.041 -0.52 01.647a 0.360 0.049 -0.57 01.796a 0.360 0.058 -0.61 02.096a 0.360 0.078 -0.70 02.395a 0.360 0.100 -0.78 02.994a 0.360 0.153 -0.92 13.593a 0.360 0.214 -1.03 14.192a 0.360 0.282 -1.09 14.791a 0.360 0.354 -1.12 25.989a 0.360 0.515 -1.03 37.187a 0.360 0.694 -0.74 48.385a 0.360 0.889 -0.22 49.583a 0.360 1.097 0.54 311.979a 0.360 1.548 2.84 -113.333a 0.360 1.824 4.64 -713.333a 0.827 13.768a 0.827 1.913 5.09 -914.374a 0.827 1.940 5.76 -1216.770a 0.827 1.991 8.48 -3019.166a 0.827 1.954 11.23 -5521.562a 0.827 1.823 13.77 -8523.333a 0.827 1.670 15.40 -11223.333a 0.555 23.958a 0.555 1.617 16.08 -12228.749a 0.555 1.077 19.87 -21033.333a 0.555 0.569 21.10 -30733.333a 0.702 33.541a 0.702 0.546 21.07 -31138.333a 0.702 0.183 19.45 -41043.124a 0.702 0.018 16.57 -49845.786a 0.702 0.000 14.73 -54171.667a 0.702 0.000 -3.44 -69571.667a 1.649

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76.211a 1.649 0.000 -10.93 -66476.665a 1.649 0.000 -11.68 -65981.457a 1.649 0.106 -19.32 -58686.249a 1.649 0.476 -25.83 -47891.040a 1.649 1.186 -29.74 -34591.667a 1.649 1.279 -30.00 -32791.667a 0.638 95.832a 0.638 1.898 -26.05 -210100.624a 0.638 2.372 -18.87 -103105.000a 0.638 2.338 -11.36 -38105.000a 0.470 105.415a 0.470 2.334 -10.58 -34110.207a 0.470 1.693 -3.19 -4112.603a 0.470 1.206 -0.84 0113.202a 0.470 1.074 -0.44 0113.501a 0.470 1.006 -0.27 0113.801a 0.470 0.938 -0.12 0114.100a 0.470 0.870 0.01 0114.395a 0.470 0.802 0.12 0114.474a 0.470 0.607 0.14 0114.549a 0.470 0.446 0.14 0114.587a 0.470 0.375 0.14 0114.624a 0.470 0.310 0.14 0114.662a 0.470 0.251 0.13 0114.699a 0.470 0.199 0.12 0114.736a 0.470 0.152 0.11 0114.774a 0.470 0.112 0.10 0114.811a 0.470 0.078 0.08 0114.849a 0.470 0.050 0.07 0114.886a 0.470 0.028 0.05 0114.924a 0.470 0.013 0.04 0114.961a 0.470 0.003 0.02 0114.999a 0.470 0.000 0.00 0115.000a 0.000 0.000 0.00 0 Max. Shear -30.00 LT at 91.667a Max. Bending Moment -695 LT-ft at 71.667a (Sagging) Hydrostatic Properties Draft is from Baseline. Trim: fwd 9.89/105.20, No heel, VCG = 0.00

LCF Draft (ft)

Displ (LT)

LCB (ft)

VCB (ft)

LCF (ft)

TPI (LT/inch)

MTI (LT-ft /inch)

GML (ft)

GM(Solid)

(ft) -0.603 92.119 63.622a 4.064 73.535a 2.310 27.942 382.925 11.377 Water Specific Gravity = 1.025. Trim is per 105.20ft Wave in effect.

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E 2. Abbreviations Abbreviations not listed in the calculation tables: AD = design area, in2. For plating it is the actual area of the shell plate panel, but not to be taken as more than 2.5s2. AR = reference area, in2, 1.61 ∆/d in2. B = breadth on water C1 = 0.0134L+3.75 L<295ft Cb = block coefficient ∆ = the design displacement of the craft d = the design draft of the craft in inches E = tensile or compressive modulus, psi representative of the basic value used in the moment of inertia calculation. FD = design area factor given in 3-2-2/Figure 6 for given values of AD and AR. Fv = vertical acceleration distribution factor given in 3-2-2/Figure 8.

+=

30.1/30.070.03

LVK

K4 = 0.005 for shell and deep tank girders, stringers and transverse webs. = 0.004 for deck girders and transverses. = 0.010 for all other members. L = length on water of craft V = max speed in knots

E 3. Member calculations due to orientation

No. length (in) thickness (in) center y center z area I y I z I yz degree radian I' z I' y2 80.38 0.50 40.19 0.25 40.19 21634.74 0.84 0.00 81.77 1.43 444.14 21191.442 121.93 0.75 60.97 0.38 91.45 113295.26 4.29 0.00 17.16 0.30 103433.37 9866.18

Inertia of shell and bottom plates

web (L) flange (L) web t flange t cent web z cent flange z cent web y cent flange y4.59 6 0.25 0.41 2.295 4.795 3 3

area web area flange z bar y bar I y I z I zy total area1.1475 2.460 4.000 3.000 6.940 7.386 0.000 3.608

SM y SM z ABS SM1.7350172 1.064309282 1.161721085

5 x 6 x 0.25 T beam Inertia

Web (L) flange (L) web t flange t centroid z I y area T4.5 6 0.29 0.5 1.01 8.46 4.31

5 x 6 x 0.29 Deck T beam

172

web (L) flange (L) t flange t cent web z cent flange z cent web y cent flange y4.59 6 0.25 0.41 2.295 4.795 3 3

area web area flange plate t cent plate z area plate cent plate y1.1475 2.460 15 0.41 0.205 6.15 7.5

z bar y bar I y I z I zy total area1.61 5.84 39.77 168.74 -24.47 9.76

eff w plate (L)

Beam with effective width of plating (shell)

plate t centroid z I y ABS min I SM17.5 0.41 3.63 57.61 0.65 15.86603605

eff w plate (L)T beam with effective width of plating (deck)

I y I z I yz degrees radians I' z I' y6.94 7.39 0.00 81.70 1.43 6.95 7.38 upper beam6.94 7.39 0.00 75.70 1.32 6.97 7.36 upper beam6.94 7.39 0.00 67.70 1.18 7.00 7.32 upper beam6.94 7.39 0.00 21.61 0.38 7.33 7.00 lower beams

T beam angled inertia

I y I z I yz degrees radians I' z I' y

39.77 168.74 -24.47 81.70 1.43 35.46 173.05

Sideshell T beam angled inertia with plate

173

F 4. Structural weights

Item thickness lb/ft lb/ft2 number area length weight lbsdeck 0.438 6.06 1 2171 13156.26 lbsbottom 0.75 10.35 1 2042 21134.7 lbsshell 0.5 6.9 1 1420.76 9803.244 lbstransom 0.5 6.9 1 151.35 1044.315 lbs0.29" T 5.143 14 110 7920.22 lbs0.25" T 4.323 26 110 12363.78 lbskeel plate 1 13.8 1 191.6667 115 2645 lbsframes 0.375 5.19 30 43.27 6737.139 lbsframes 0.375 5.19 17 43.62 3848.593 lbsframes 0.375 5.19 12 37.57 2339.86 lbsframes 0.375 5.19 1 28.77 149.3163 lbsframes 0.375 5.19 1 26.43 137.1717 lbsframes 0.375 5.19 1 23.7 123.003 lbsframes 0.375 5.19 1 20.7 107.433 lbsframes 0.375 5.19 1 17.5 90.825 lbsframes 0.375 5.19 1 14 72.66 lbsframes 0.375 5.19 1 10.3 53.457 lbsframes 0.375 5.19 1 6.15 31.9185 lbsframes 0.375 5.19 1 1.75 9.0825 lbs

total = 81767.98 lbstotal = 36.50356 LT

Structural weights

174

Appendix F: Seakeeping

F 1. Powersea Output 20 Knots, Sea state 5 Time-Domain Analysis: (Normal return) New Hull (R3) 200433 Primary Simulation Condition Set: Conditions Set: Conditions Set Name: Set 1 Units: English Gravity: 32.174 feet/sec**2 Surge Position: 0.0 feet 0.0 feet Heave Position: 1.53307 feet 1.53307 feet Pitch Position: -0.98345 Degrees -0.98345 degrees Surge Velocity: 33.7562 ft/sec 20.0 Knots Heave Velocity: 0.0 ft/sec 0.0 Knots Pitch Angular Velocity: 0.0 Degrees/sec 0.0 degr/sec Random Number Seed: 1114196248 Number of Steps: 2001 Time Step: 0.05 Seconds 0.05 sec Stop Time: 100.0 Seconds 100.0 sec Rel. Tolerance (RTOL): 1.00000e-004 Absolute Tolerances ATOL 0: 1.00000e-002 ATOL 1: 1.00000e-004 ATOL 2: 1.00000e-005 ATOL 3: 0.1 ATOL 4: 1.00000e-004 ATOL 5: 1.00000e-005 Thrust Mode: Constant Velocity Const Thrust/Vel: 20.0 Knots Incident Waves: Ramp Start: 0.0 Seconds 0.0 sec Ramp Rise-time: 1.0 Seconds 1.0 sec Water Depth: 30.0 feet 30.0 feet Sea Orientation: Head Sea Spectrum Type: ITTC (Peak Period Specified) Significant Wave Height: 10.5 feet 10.5 feet Peak Period: 9.7 Seconds 9.7 sec (No Secondary Simulation Condition Set) Statistics: Analysis Results (using last half of data points) Heave Loc Pitch Surge Vel Eff Power Heave Accel Acc-Z at Sel Pt feet degrees Knots HP (British) G's G's Min -2.8869 -6.485 20.000 -1341.6 -0.8155 -1.1820 Mean 1.7272 0.5939 20.000 723.6 -0.006710 -0.012789 Max 7.875 7.879 20.000 7975.6 1.1295 4.8252

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Std Dev 2.2244 3.2864 0.0 1231.0 0.25510 0.6844 MAX VALUE BETWEEN MEAN CROSSINGS (REL TO MEAN): Abs Min 1.1084 1.0049 0.0 124.11 0.032662 0.28230 Ave 3.0716 4.2715 0.0 2800.6 0.27451 1.2406 Abs Max 6.148 7.285 0.0 7252.0 1.1362 4.8380 Ave(1/3) 4.7592 6.550 0.0 4634.8 0.5243 2.1489 Ave(1/10) 6.148 7.285 0.0 5936.7 0.8242 3.4263 WARNING: Analysis status file could not be opened New Hull (R3) 200433 Primary Simulation Condition Set: Conditions Set: Conditions Set Name: Set 1 Units: English Gravity: 32.174 feet/sec**2 Surge Position: 0.0 feet 0.0 feet Heave Position: 1.53307 feet 1.53307 feet Pitch Position: -0.98345 Degrees -0.98345 degrees Surge Velocity: 33.7562 ft/sec 20.0 Knots Heave Velocity: 0.0 ft/sec 0.0 Knots Pitch Angular Velocity: 0.0 Degrees/sec 0.0 degr/sec Random Number Seed: 1114196822 Number of Steps: 2001 Time Step: 0.05 Seconds 0.05 sec Stop Time: 100.0 Seconds 100.0 sec Rel. Tolerance (RTOL): 1.00000e-004 Absolute Tolerances ATOL 0: 1.00000e-002 ATOL 1: 1.00000e-004 ATOL 2: 1.00000e-005 ATOL 3: 0.1 ATOL 4: 1.00000e-004 ATOL 5: 1.00000e-005 Thrust Mode: Constant Velocity Const Thrust/Vel: 20.0 Knots NOTE: POWERSEA empirical analysis conditions not valid X Location for Response Analysis: 0.0 feet (aft of origin) 0.0 feet Z Location for Response Analysis: 11.5 feet (above baseline) 11.5 feet Incident Waves: Ramp Start: 0.0 Seconds 0.0 sec Ramp Rise-time: 1.0 Seconds 1.0 sec Water Depth: 30.0 feet 30.0 feet Sea Orientation: Head Sea Spectrum Type: ITTC (Peak Period Specified) Significant Wave Height: 10.5 feet 10.5 feet Peak Period: 9.7 Seconds 9.7 sec (No Secondary Simulation Condition Set) Statistics: Analysis Results (using last half of data points) Heave Accel Acc-Z at Sel Pt

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G's G's Min -0.9106 -1.2929 Mean 0.0032574 0.011842 Max 2.5577 6.654 Std Dev 0.31199 0.7570 MAX VALUE BETWEEN MEAN CROSSINGS (REL TO MEAN): Abs Min 0.19477 0.08057 Ave 0.5899 1.6323 Abs Max 2.5544 6.642 Ave(1/3) 1.1532 3.5336 Ave(1/10) 2.5544 6.642 MIN VALUE BETWEEN MEAN CROSSINGS (REL TO MEAN): Abs Min -0.9138 -1.3047 Ave -0.44947 -0.7789 Abs Max -0.20647 -0.11823 Ave(1/3) -0.7070 -1.1411 Ave(1/10) -0.9138 -1.2823 ALL MAXIMA: Abs Min -0.08512 0.48607 Ave 0.5215 1.8131 Abs Max 2.5577 6.654 Ave(1/3) 1.1565 3.5454 Ave(1/10) 2.0749 6.654 ALL MINIMA: Abs Min -0.9106 -1.2929 Ave -0.37322 -0.7394 Abs Max 0.06571 0.6480 Ave(1/3) -0.6553 -1.1186 Ave(1/10) -0.9106 -1.2929 ALL MAXIMA ABOVE MEAN: Abs Min 0.14452 0.48607 Ave 0.5268 1.8131 Abs Max 2.5577 6.654 Ave(1/3) 1.0372 3.5454 Ave(1/10) 2.0749 6.654 ALL MINIMA BELOW MEAN: Abs Min -0.9106 -1.2929 Ave -0.37760 -0.7857 Abs Max -0.008288 -0.23815 Ave(1/3) -0.6178 -1.1186 Ave(1/10) -0.9086 -1.2705 Vibration: Analysis Results (using last half of data points) Heave Accel Acc-Z at Sel Pt meters/sec**2 meters/sec**2 VDV 3.4717 9.125 MSDV 1.9938 4.5172

Marine Proj Uss Varuna

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