888-B155-01r2 Intact Stability.pdf

REV ZONE DRAWN CHKD

0 ‐ WRH HCB

1 ‐ HCB ‐

2 ‐ WRH JSS

GENERAL NOTES

RESERVATIONS

NO.

SIZE REV

A 2

DATE: SCALE: SHEET 1 OF 29

1. Revised to include IMO IS Stability cirteria 26APR23

ABS Preliminary Load Line Assignment T2422948 ‐

‐ none

1. Revised to remove IMO IS Stability criteria.

2. Updated due to revised lightship estimate.

REVISION HISTORY

DESCRIPTION DATE

1. INITIAL RELEASE 10FEB23

Stability criteria analyzed:

1. 46 CFR 174.015

2. 46 CFR 170.170

Weight Estimate 883‐B115‐01 1

31JUL23

DRAWN BY: CHECKED BY: 150'‐0" X 38'‐0" X 10'‐0"

WRH HCB

REFERENCES

THE SHEARER GROUP, INC.

3118 HARRISBURG BLVD, SUITE 100

HOUSTON, TX 77003

TEL: (281) 532‐2080 ~ FAX (281) 326‐1615

www.shearer‐group.com

CELRE DECK BARGES

DESCRIPTION DWG NO. REV.

DATE: TSGI PROJ #:

Intact Stability Calculations10FEB23 0430‐001

MARINE DESIGN CENTER

NTS

APP'D BY: PROJECT NO. DWG. NO.

3383 888‐B155‐01

S e e A

B S H o u s to n L e tt e r R e f T D a te d

-O

C T -2 http://www.shearer‐group.com

PROJECT: 3383 Rev: 2 By: WRH

CALC: Date: 31JUL23 Checked: JSS

VESSEL NAME/ID: Deck Barge 888, 889 and 890

OWNER NAME: Detroit District, U.S. Army Corps of Engineers

Summary of Requirements

Intact stability was analyzed using the following criterion:

‐ USCG 46 CFR 170.170 Weather Criteria

‐ USCG 46 CFR 174.015 Intact Stability for Deck Cargo Barges

The calculations are based on the subject vessel with the following characteristics:

Deck Cargo Barge

Length: 150.00 ft

Breadth: 38.00 ft

Depth: 10.00 ft

Lightship: 408.18 LT* See Ref 1 LCG: 74.46ft aft HL

TCG: 0 ft (+ stbd)

VCG: 6.54 ft ABL

Estimated LL: 7.96ft See Ref 2

USCG 46 CFR 170.170 Weather Criteria:

170.170 Calculations Required

Where:

P = 0.005 + (L/14,200) tons/ft

(For Ocean Service)

A =

H =

W = Displacement (LT)

T =

888‐B155‐01

Intact Stability Calculations: Calculated Cargo Limits

(a) Each vessel must be shown by design calculations to have a metacentric height (GM) that is equal to or greater than the following in each condition of loading and operation:

Projected Lateral area in square feet of the portion of the vessel and deck cargo above the waterline the vertical distance in feet from the center of A to the center of the underwater Lateral area or appoximately one half draft point

The lesser of either 14 degreees heel or angle of heel in degrees at one half the freeboard to the deck edge immersed

)tan(TW

PAH

GM

S e e A

B S H o u s to n L e tt e r R e f T D a te d

-O

C T -2

USCG 46 CFR 174.015 Intact Stability Criteria:

the required righting energy is: 15 ft‐° (Ocean service)

Note: Limiting cargo VCGs are between the two requirements to develop a single limiting cargo VCG curve.

Results:

Comparison of the maximum cargo VCG values, taking the minimum KG for each draft as the limiting KG:

Cargo VCG Limits:

LCF Draft

(ft)

Δ

(LT)

Cargo

Capacity (LT)

Allowable

Cargo VCG

46CFR

170.170

(ABL)

Allowable

Cargo VCG

46CFR

174.015

(ABL)

Limiting

Cargo VCG

(ABL)

Limiting

Cargo VCG

(above

Deck)

Limiting

Cargo

Height

(above

Deck)

3.00 439.9 31.7 47.4 330.3 47.4 37.4 74.8

4.00 590.4 182.2 37.8 67.7 37.8 27.8 55.5

5.00 742.5 334.3 31.0 39.9 31.0 21.0 42.0

6.00 896.1 488.0 26.4 26.8 26.4 16.4 32.8

7.00 1051.4 643.3 22.9 17.4 17.4 7.4 14.9

7.96 1202.0 793.8 20.3 11.0 11.0 1.0 2.1

(a) in each condition of loading and operation, each barge must be shown by design calculations to have an area under the righting arm curve up the the angle of maximum righting arm, the downflooding angle, or 40 degrees, whichever angle is smallest, equal to or greater than:

Creative Systems' General Hydrostatics GHS version 16.72 was utilized to determine the maximum allowable

KGs that satisfy this requirement. The maximum allowable cargo VCG is then determined based on the lightship characteristics of the barge.

S e e A

B S H o u s to n L e tt e r R e f T D a te d

-O

C T -2

2.00

3.00

4.00

5.00

6.00

7.00

8.00

9.00

0.0 10.0 20.0 30.0 40.0 50.0 60.0 70.0

LC

F

D ra ft

(f t)

Height (ft)

Allowable Cargo Heights

UNSAFE REGION

SAFE REGION

SAFE REGION

MAX DRAFT = 7'‐11 1/2"

UNSAFE REGION

S ee A

B S H oust on L ette r R ef T 2455022 D ate d 1

3-O C

T-2

2.00

3.00

4.00

5.00

6.00

7.00

8.00

9.00

0.0 100.0 200.0 300.0 400.0 500.0 600.0 700.0 800.0

LC

F

D ra ft

(f t)

Cargo Deadweight (LT)

Cargo Deadweight Chart

MAX DRAFT = 7'‐11 1/2"

S ee A

B S H oust on L ette r R ef T 2455022 D ate d 1

3-O C

T-2

Vessel Characteristics:

Length: 150.00 ft KGv: 6.54 ft

Breadth: 38.00 ft

Depth: 10.00 ft

Lightship: 408.18 LT

REQUIRED GMt and MAXIMUM KG

INTACT STABILITY ‐ WEATHER CRITERIA (CFR 46 170.170)

INTACT STABILITY ‐ WEATHER CRITERIA (CFR 46 170.170)

GMt = PAH/(Wtan(f))

P = .005 + (L/14,200) = = tons/ft

(Oceans, Great Lakes, & Exposed Waters)

A = laterial projected area in ft

H = VCE of A above 1/2 Draft Length = 150.0 ft

W = vessel displacement in LT Depth = 10.00 ft

T = lesser of 14 degrees or ATAN((DSIDE‐T)/B) Beam = 38.0 ft

(angle of half freeboard submergence) Cargo Length = 150.00 ft

Cargo Height

(h2) Cargo Area Cargo VCE Cargo V.M. Freeboard

Exposed

Hull Area Hull VCE Hull V.M.

Total Area

(A) H

Draft ft Above Deck ft 2 ft ABL ft

3 ft ft 2 ft ABL ft ft

2 ft

3.00 74.75 11213 47.38 531192 7.00 1050 6.50 6825 12263 42.38

4.00 55.50 8325 37.75 314269 6.00 900 7.00 6300 9225 32.75

5.00 42.00 6300 31.00 195300 5.00 750 7.50 5625 7050 26.00

6.00 32.75 4913 26.38 129567 4.00 600 8.00 4800 5513 21.38

7.00 25.75 3863 22.88 88355 3.00 450 8.50 3825 4313 17.88

7.96 20.50 3075 20.25 62269 2.04 306 8.98 2748 3381 15.25

Draft WSW* KMT* T TAN(T) A(total)

H

Abv half draft

GMtREQD

KGMAX

PERMISSIBLE

3.00 439.9 42.4 10.44 0.184 12263 42.4 32.78 9.7

4.00 590.4 32.9 8.97 0.158 9225 32.8 16.57 16.3

5.00 742.5 27.3 7.50 0.132 7050 26.0 9.59 17.7

6.00 896.1 23.8 6.01 0.105 5513 21.4 6.38 17.4

7.00 1051.4 21.4 4.51 0.079 4313 17.9 4.75 16.7

Load Line

Draft

7.96 1202.0 19.8 3.07 0.054 3381 15.3 4.08 15.7

* Displacement and metacenter extracted from GHS hydrostatic data.

888‐B155‐01

Intact Stability Calculations: 46CFR170.170 CALCULATIONS

0.005112

**KGMAX PERMISSIBLE = KMT AVAILABLE ‐ GMT REQD for wind heel analysis only, total VCG is further limited by righting energy via 46 CFR 174.015S e e A

B S H o u s to n L e tt e r R e f T D a te d

-O

C T -2

888‐B155‐01

Intact Stability Calculations: 46CFR170.170 CALCULATIONS

Summary of 46CFR170.170 Stability Limits on Cargo:

Draft WSW

Maximum

Cargo GMtREQD

KGMAX

PERMISSIBLE

Maximum

Allowable

V‐mom

Maximum

Allowable

Cargo

V‐mom

Cargo VCG GMtACHIEVED

(ft) (LT) (LT) (ft, min) (ft) (ft‐LT) (ft‐LT) (ft‐ ABL) (ft)

3.00 439.9 31.7 32.8 9.7 4245 1576 47.4 32.9

4.00 590.4 182.2 16.6 16.3 9619 6949 37.8 16.7

5.00 742.5 334.3 9.6 17.7 13141 10471 31.0 9.7

6.00 896.1 488.0 6.4 17.4 15588 12919 26.4 6.4

7.00 1051.4 643.3 4.7 16.7 17510 14840 22.9 4.9

7.96 1202.0 793.8 4.1 15.7 18924 16254 20.3 4.2

46CFR170.170

S e e A

B S H o u s to n L e tt e r R e f T D a te d

-O

C T -2

Vessel Characteristics:

Length: 150.00 ft KGv: 6.54ft

Breadth: 38.00 ft

Depth: 10.00 ft

Lightship: 408.18 LT

INTACT STABILITY ‐ INTACT CRITERIA (CFR 46 174.015)

Draft Displacement* Maximum

VCG (from GHS)

Maximum

Cargo

Maximum

Allowable

Cargo VCG

(above deck)

Maximum

Allowable

Cargo VCG

(ABL)

Achieved

Righting

Energy

(15 ft-o req'd)

(ft) (LT) (ft) (LT) (FT) (FT) (ft-°)

3.00 439.9 29.87 31.7 320.3 330.3 15.0

4.00 590.4 25.40 182.2 57.7 67.7 15.0

5.00 742.5 21.57 334.3 29.9 39.9 15.0

6.00 896.1 17.55 488.0 16.8 26.8 15.0

7.00 1051.4 13.20 643.3 7.4 17.4 15.0

7.96 1202.0 9.51 793.8 1.0 11.0 15.0

* Please note, Values for displacement are from hydrostatics, and may differ from GHS output

888‐B155‐01

Intact Stability Calculations: 46CFR174.015 CALCULATIONS

In each condition of loading and operation, each barge must be shown by design calculations to have an area under the righting arm curve up to the angle of maximum righting arm, the downflooding angle, or 40 degrees, whichever angle is smallest, equal to or greater than 15 ft‐degrees for Oceans and Great Lakes Winter Service.

The GHS program's MAXVCG command was used to calculate the maximum composite (hull+cargo) vertical center of gravity, at a range of operational drafts, that satisfies the allowable limit of 15 ft‐degrees under the righting arm curve. A weight‐moment calculation was performed to determine the allowable maximum deck cargo VCG based on the corresponding cargo deadweight allowed at each draft. Below is the summary of the MAXVCG Calculation from GHS.

S e e A

B S H o u s to n L e tt e r R e f T D a te d

-O

C T -2

888‐B155‐01

Intact Stability Calculations: Appendix A ‐ GHS Hydrostatics

Appendix A ‐ GHS Hydrostatics & Model

S e e A

B S H o u s to n L e tt e r R e f T D a te d

-O

C T -2

S e e A

B S H o u s to n L e tt e r R e f T D a te d

-O

C T -2 e A

B S H o u s to n L e tt e r R e f T D a te d

-O

C T -2 e A

B S H o u s to n L e tt e r R e f T D a te d

-O

C T -2

07/28/23 13:22:26 Bristol Harbor Group Page 1

GHS 17.50 CELRE DECK BARGE

HYDROSTATIC PROPERTIES

No Trim, No Heel, Fixed VCG = 0.00

LCF Displacement Buoyancy-Ctr. Weight/ Moment/

Draft----Weight(LT)----LCB-----VCB-----Inch-----LCF---In trim----KML-----KMT

0.250 34.99 81.82a 0.13 11.85 81.56a 123.36 6345.7 470.94

0.500 70.86 81.61a 0.25 12.04 81.26a 126.40 3210.9 241.48

0.750 107.15 81.45a 0.38 12.14 81.03a 128.37 2156.5 163.10

1.000 143.68 81.32a 0.50 12.21 80.84a 129.82 1626.3 123.16

1.250 180.35 81.20a 0.63 12.24 80.64a 130.92 1306.6 98.62

1.500 217.13 81.09a 0.76 12.28 80.45a 132.04 1094.6 82.39

1.750 254.01 80.98a 0.88 12.31 80.26a 133.16 943.6 70.86

2.000 290.98 80.88a 1.01 12.34 80.07a 134.29 830.7 62.26

2.250 328.06 80.78a 1.13 12.38 79.88a 135.42 743.0 55.61

2.500 365.23 80.68a 1.26 12.41 79.69a 136.56 673.0 50.32

2.750 402.51 80.58a 1.39 12.44 79.51a 137.72 615.9 46.02

3.000 439.88 80.48a 1.51 12.47 79.34a 138.76 567.8 42.43

3.250 477.35 80.38a 1.64 12.51 79.14a 140.00 527.9 39.46

3.500 514.92 80.29a 1.77 12.54 78.94a 141.22 493.7 36.93

3.750 552.59 80.19a 1.89 12.58 78.75a 142.44 464.0 34.75

4.000 590.37 80.09a 2.02 12.61 78.56a 143.66 438.0 32.86

4.250 628.24 79.99a 2.15 12.64 78.37a 144.88 415.1 31.21

4.500 666.22 79.90a 2.27 12.68 78.19a 146.11 394.8 29.75

4.750 704.29 79.80a 2.40 12.71 78.00a 147.36 376.6 28.46

5.000 742.46 79.70a 2.53 12.74 77.83a 148.50 360.0 27.29

5.250 780.72 79.61a 2.66 12.77 77.63a 149.82 345.4 26.27

5.500 819.10 79.51a 2.78 12.81 77.44a 151.14 332.1 25.36

5.750 857.57 79.41a 2.91 12.84 77.24a 152.45 320.0 24.53

6.000 896.14 79.31a 3.04 12.88 77.05a 153.76 308.8 23.78

6.250 934.82 79.22a 3.17 12.91 76.87a 155.07 298.6 23.11

6.500 973.59 79.12a 3.29 12.94 76.68a 156.40 289.2 22.49

6.750 1,012.46 79.02a 3.42 12.98 76.49a 157.74 280.4 21.93

7.000 1,051.43 78.93a 3.55 13.01 76.32a 158.98 272.2 21.40

7.250 1,090.49 78.83a 3.68 13.04 76.12a 160.39 264.8 20.94

7.500 1,129.66 78.73a 3.81 13.07 75.93a 161.81 257.8 20.52

7.750 1,168.94 78.63a 3.93 13.11 75.73a 163.22 251.3 20.13

7.960 1,202.00 78.55a 4.04 13.14 75.58a 164.39 246.2 19.82

8.000 1,208.31 78.54a 4.06 13.14 75.55a 164.62 245.2 19.77

8.250 1,247.78 78.44a 4.19 13.17 75.36a 166.03 239.5 19.44

8.500 1,287.35 78.34a 4.32 13.21 75.17a 167.45 234.1 19.13

8.750 1,327.02 78.24a 4.45 13.23 75.03a 168.54 228.6 18.83

9.000 1,366.73 78.15a 4.58 13.24 75.01a 168.87 222.4 18.56

9.250 1,406.44 78.06a 4.71 13.24 75.01a 169.12 216.4 18.29

9.500 1,446.15 77.98a 4.83 13.24 75.00a 169.35 210.8 18.05

9.750 1,485.86 77.90a 4.96 13.24 75.00a 169.57 205.4 17.83

10.000 1,525.58 77.82a 5.09 13.24 75.00a 169.79 200.3 17.62

Distances in FEET.-------Specific Gravity = 1.000.-----------Moment in Ft-LT.

Trim is per 150.00Ft

Draft is from Baseline.

S e e A

B S H o u s to n L e tt e r R e f T D a te d

-O

C T -2

07/28/23 13:22:26 Bristol Harbor Group Page 2

H Y D R O S T A T I C

P R O P E R T I E S a t

L E V E L

T R I M

Baseline Draft

A f t

L C B L C F

S c a l e

F T

F w d

G e n e r a l

S c a l e

7 8

D i s p l a c e m e n t

L T

L C B u s e t o p s c a l e

V C B

K B

F T

I m m e r s i o n

L T I N

W P A

S q F T

L C F u s e t o p s c a l e

M o m e n t T r i m

F T L T I N

K M L

F T

K M T

F T

S p e c i f i c

G r a v i t y

A s s u m e d

K G

F T

T r i m i s p e r

F T

K

B a s e p l a n e

S e e A

B S H o u s to n L e tt e r R e f T D a te d

-O

C T -2

07/28/23 13:22:26 Bristol Harbor Group Page 3

CURVES OF FORM

HULL.C Component of Part HULL

Trim: zero Heel: zero

Ref Pt Volume Block Displ/ WaterPl MaxSect PrismaticCoefs Wetted

Depth-----(Cu Ft)----Coef---Length----Coef----Coef----Long----Vert--Surface

0.25 1256 0.898 10.6 1.000 0.988 0.909 0.984 5126.8

0.50 2542 0.899 21.5 1.000 0.986 0.912 0.981 5251.7

0.75 3845 0.902 32.5 1.000 0.987 0.914 0.981 5354.2

1.00 5155 0.904 43.6 1.000 0.988 0.916 0.981 5450.4

1.25 6471 0.908 54.8 1.000 0.990 0.917 0.982 5537.7

1.50 7791 0.911 65.9 1.000 0.992 0.919 0.983 5625.1

1.75 9114 0.914 77.1 1.000 0.993 0.920 0.983 5712.8

2.00 10441 0.916 88.4 1.000 0.994 0.922 0.982 5800.6

2.25 11771 0.918 99.6 1.000 0.995 0.923 0.982 5888.5

2.50 13105 0.920 110.9 1.000 0.995 0.924 0.981 5976.7

2.75 14443 0.921 122.2 1.000 0.996 0.926 0.980 6065.1

3.00 15783 0.923 133.6 1.000 0.996 0.927 0.980 6219.3

3.25 17128 0.925 145.0 1.000 0.996 0.928 0.979 6308.4

3.50 18476 0.926 156.4 1.000 0.996 0.929 0.978 6397.6

3.75 19828 0.928 167.8 1.000 0.997 0.931 0.976 6486.8

4.00 21183 0.929 179.3 1.000 0.997 0.932 0.975 6576.1

4.25 22542 0.931 190.8 1.000 0.997 0.933 0.974 6665.6

4.50 23905 0.932 202.3 1.000 0.997 0.935 0.973 6755.3

4.75 25271 0.933 213.9 1.000 0.997 0.936 0.972 6845.2

5.00 26640 0.935 225.5 1.000 0.998 0.937 0.971 7001.1

5.25 28013 0.936 237.1 1.000 0.998 0.938 0.970 7091.7

5.50 29390 0.937 248.8 1.000 0.998 0.940 0.969 7182.4

5.75 30771 0.939 260.4 1.000 0.998 0.941 0.968 7273.1

6.00 32155 0.940 272.2 1.000 0.998 0.942 0.967 7364.0

6.25 33543 0.942 283.9 1.000 0.998 0.943 0.966 7455.1

6.50 34934 0.943 295.7 1.000 0.998 0.945 0.964 7546.4

6.75 36329 0.944 307.5 1.000 0.998 0.946 0.963 7637.8

7.00 37727 0.946 319.3 1.000 0.998 0.947 0.962 7795.6

7.25 39128 0.947 331.2 1.000 0.998 0.948 0.961 7887.8

7.50 40534 0.948 343.1 1.000 0.998 0.950 0.960 7980.1

7.75 41943 0.949 355.0 1.000 0.998 0.951 0.959 8072.4

8.00 43356 0.951 367.0 1.000 0.998 0.952 0.958 8164.9

8.25 44772 0.952 379.0 1.000 0.999 0.954 0.957 8257.6

8.50 46192 0.953 391.0 1.000 0.999 0.955 0.956 8350.4

8.75 47615 0.955 403.0 1.000 0.999 0.956 0.955 8508.2

9.00 49040 0.956 415.1 1.000 0.999 0.957 0.956 8603.6

9.25 50465 0.957 427.1 1.000 0.999 0.958 0.957 8697.9

9.50 51890 0.958 439.2 1.000 0.999 0.960 0.958 8792.1

9.75 53315 0.959 451.3 1.000 0.999 0.961 0.959 8886.4

10.00 54740 0.960 463.3 1.000 0.999 0.962 0.960 8980.6

Distances in FEET.------------Length is 150.00-------------------------------

HULL Reference Point: Long.= 0.00 Trans.= 0.00 Vert.= 0.00

S e e A

B S H o u s to n L e tt e r R e f T D a te d

-O

C T -2

07/28/23 13:22:26 Bristol Harbor Group Page 4

C U R V E S o f

F O R M

H U L L C

C o m p o n e n t o f

P a r t

H U L L

Depth in FEET

C o e f f i c i e n t

S c a l e

G e n e r a l

S c a l e

V o l u m e

C U F T

B l o c k

C o e f

D i s p l L e n g t h

R a t i o

W a t e r p l a n e

C o e f

M a x i m u m

S e c t i o n

C o e f

L o n g

P r i s m a t i c

V e r t i c a l

P r i s m a t i c

W e t t e d

S u r f a c e

S Q F T

D e p t h i s r e l a t i v e t o

H U L L

R e f e r e n c e

P o i n t

S e e A

B S H o u s to n L e tt e r R e f T D a te d

-O

C T -2

888‐B155‐01

Intact Stability Calculations: Appendix B ‐ GHS Max VCG

Appendix B ‐ GHS Max VCG

S e e A

B S H o u s to n L e tt e r R e f T D a te d

-O

C T -2

08/01/23 09:30:48 Bristol Harbor Group Page 1

MAXIMUM VCG vs. DISPLACEMENT

Trim = zero at zero heel (trim righting arm held at zero)

Displacement Margin

LONG TONS Max VCG LIM1

290.98 37.61 0%

439.88 29.87 0%

590.37 25.40 0%

742.46 21.57 0%

896.14 17.55 0%

1,051.43 13.20 0%

1,202.00 9.51 0%

Distances in FEET.---Specific Gravity = 1.000.---d = degrees.

LIM----------------STABILITY CRITERION----------------Min/Max

(1) Area from Equilibrium to MaxRA or abs 40 deg > 15.00 Ft-deg

S e e A

B S H o u s to n L e tt e r R e f T D a te d

-O

C T -2

08/01/23 09:30:48 Bristol Harbor Group Page 2

M A X I M U M

V C G

K G a t

L E V E L

T R I M i n i t i a l

VCG (KG) in FEET

D i s p l a c e m e n t i n

L O N G

T O N S

S p e c i f i c

G r a v i t y

K

B a s e p l a n e

S e e A

B S H o u s to n L e tt e r R e f T D a te d

-O

C T -2