5.3 cmtr-07 barge vertical deflection & deck stretch c

UPPER ZAKUM 750

ISLANDS SURFACE FACILITIES PROJECT - EPC2

PROJECT No. P7512

Doc No. Rev. A1 Page: 1 of 8

UPPER ZAKUM 750 ISLANDS SURFACE FACILITIES PROJECT - EPC2

PROJECT No. P7512

CONTRACT No: CT750 UZ110110

PETROFAC JOB No.: PE-103

BUILDING CALCULATION SHEET FOR BARGE VERTICAL DEFLECTION & DECK STRETCH

A1 1-Oct-2013 Issue for Review MC KNV DWG/RB

REV. DATE DESCRIPTION PRPD CHKD APPD

BUILDING CALCULATION SHEET FOR VERTICAL DEFLECTION & DECK STRETCH

PROJ.APPD

FEED DOCUMENT REFERENCE No.

(Document No. & Rev. No.)

UPPER ZAKUM 750

ISLANDS SURFACE FACILITIES PROJECT - EPC2

PROJECT No. P7512

DOC No. XXXX REV. A1 Page No. 2 of 8

TABULATION OF REVISED SECTIONS / PAGES

Revision Page / Section Description

TABULATION OF HOLDS

Description of Holds

CALCULATION SHEET FOR BARGE VERTICAL DEFLECTION & DECK STRETCH

Page / Section

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PROJECT No. P7512


Doc No. Rev. A1

For Structure MTR 07

Deck Vertical Deflection due to hull curvature

Deck

2.83

N/A

3.27

Baseline

BARGE - CROSS SECTION

Method for Calculating Vertical Deflection

Barge Allowable Stress

Barge Data

Type of Barge

Length of Vessel L = 119.80 m

Breadth of Vessel B = 20.00 m

Moment of Inertia I = 25.674

Depth of Hull D = 6.10 m

Neutral axis from BL Na = 3.27 m

Distance of Deck to Na = 2.83 m

SM bottom = 7.843

SM Deck = 9.084

BM at Allowable Stress D = 513259 kNm

BM at Allowable Stress BL = 443103 kNm

Allowable Stress σ = 57

Young Modulus E = 200000

Still Water BM Sagging = 110776 kNm

Wave BM Sagging = 332327 kNm

Still Water BM Hogging = 128315 kNm

Wave BM Hogging = 384944 kNm

M = σ = E Therefore r =

I y r

TO BE VERIFIED BASED ON

THE VENDOR DATA

m4

Dd

SMb m3

SMd m3

MBMD

MBMB

N/mm2

N/mm2

Swsag STILL WATER BENDING MOMENT ASSUMED 25% OF THE TOTAL BM. FOR WAVE BENDING MOMENT IS ASSUMED 75% OF THE TOTAL BM. TO BE VERIFIED BY VENDOR DATA.

Wvsag

Swhog

Wvhog

E. y/σ

Click on this cell to choose input method and enter data in coloured cells

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PROJECT No. P7512


Doc No. Rev. A1

Bending Moments (kN-m)

N/A N/A N/A N/A N/A N/A

Deflection at Midship (m) δ = 5σL 2

48Ey

0.037 0.112 0.149 0.032 0.097 0.129

Strain at Centre Line (mm/m) ε = σ/E

0.071 0.21 0.283 0.071 -0.212 -0.283

Radius of curvature Ry (m) R = E.y/σ

40017.84 13339.28 10004.46 -46353.84 ### -11588.46

UDL W (kN/m) N/A

N/A N/A N/A N/A N/A N/A

Swsag WvsagTotal B.M.

Swsag + WvsagSwhog Wvhog

Total B.M. Swhog + Wvhog













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PROJECT No. P7512


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Deflection Values: δ = (Lx^3/12 -x^4/24 -xL^3/24).8σ

EL^2y

Hull Vertical Deflection (Sag) Hull Vertical Deflection (Hog)

(m) Separate figures

99.400 -0.0166 -0.0499 -0.0666 0.0193 0.0578 0.0771 for still water and

103.750 -0.0134 -0.0401 -0.0535 0.0155 0.0464 0.0619 wave deflections

108.100 -0.0099 -0.0297 -0.0396 0.0115 0.0344 0.0459 are indicative

112.200 -0.0065 -0.0195 -0.0260 0.0075 0.0226 0.0301 only

116.300 -0.0030 -0.0090 -0.0120 0.0035 0.0105 0.0139

97.900 -0.0177 -0.0532 -0.0709 0.0205 0.0616 0.0821

106.600 -0.0111 -0.0333 -0.0444 0.0129 0.0386 0.0515

114.800 -0.0043 -0.0129 -0.0172 0.0050 0.0149 0.0199

0.0000

0.0000

0.0000

0.0000

0.0000

0.0000

Distance from Stern Swsag Wvsag Total Swsag

+ Wvsag (m)

Swhog WvhogTotal Swhog

+ Wvhog (m)

0 20 40 60 80 100 120 140

-150.00

-100.00

-50.00

0.00

50.00

100.00

150.00

200.00HULL VERTICAL DEFLECTION

STILL WATERSW + WAVE LOADSW HOGGINGSW+WAVE LOAD HOGGINGPolynomial (SW+WAVE LOAD HOGGING)Polynomial (SW+WAVE LOAD HOGGING)

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PROJECT No. P7512

CALCULATION SHEET FOR VERTICAL DEFLECTION & DECK STRETCH

Doc No. Rev. A1

For Structure MTR 07

Deck Stretch due to hull curvature

Deck

2.83

N/A

3.27

Baseline

BARGE - CROSS SECTION

Method for Calculating Deck Stretch

Barge Allowable Stress

Barge Data

Length of Vessel L = 119.80 m

Breadth of Vessel B = 20.00 m

Moment of Inertia I = 25.67

Depth of Hull D = 6.10 m

Neutral axis from BL Na = 3.27 m

Distance of Deck to Na = 2.83 m

SM bottom = 7.843

SM Deck = 9.084

BM at Allowable Stress D = 513259 kNm

BM at Allowable Stress BL = 443103 kNm

Allowable Stress σ = 56.50

Young Modulus E = 200000

Still Water BM Sagging = 110776 kNm

Wave BM Sagging = 332327 kNm

Still Water BM Hogging = 128315 kNm

Wave BM Hogging = 384944 kNm

M = σ = E Therefore r =

I y r

Maximum Barge Stress

σ = 56.5 N/mm^2

E = σ / ε

ε = σ / E

ε = 56.50 / 200000

= 0.00028 mm/mm

TO BE VERIFIED BASED ON

THE VENDOR DATA

m4

Dd

SMb m3

SMd m3

MBMD

MBMB

N/mm2

N/mm2

SwsagSTILL WATER BENDING MOMENT ASSUMED 25% OF THE TOTAL BM. FOR WAVE BENDING MOMENT IS ASSUMED 75% OF THE TOTAL BM. TO BE VERIFIED BY VENDOR DATA.

Wvsag

Swhog

Wvhog

E. y/σ

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PROJECT No. P7512


Doc No. Rev. A1

= 0.2825 mm/m

= 110776 kNm σ = 12.2 ε = 0.06 mm/m

= 332327 kNm σ = 36.6 ε = 0.18 mm/m

= 128315 kNm σ = 14.1 ε = 0.07 mm/m

= 384944 kNm σ = 42.4 ε = 0.21 mm/m

This varies in proportion to the bending moment giving ξ at x from stern

Deck Inward Displ. (Shrink) Deck Outward Displ. (Stretch)

Aft (m) Separate figures

Fr28 for still water and

Fr21 wave deflections

Fr14 are indicative

Fr7 only

F'wd -39.500 -5.72 -3.82 -9.54 -0.0095 5.72 3.82 9.54 0.0095

Fr35 -43.850 -6.10 -4.07 -10.17 -0.0102 6.10 4.07 10.17 0.0102

Fr42 -48.200 -6.41 -4.27 -10.68 -0.0107 6.41 4.27 10.68 0.0107

Fr49 -52.300 -6.61 -4.41 -11.02 -0.0110 6.61 4.41 11.02 0.0110

Fr56 -56.400 -6.73 -4.49 -11.22 -0.0112 6.73 4.49 11.22 0.0112

-38.000 -5.58 -3.72 -9.29 -0.0093 5.58 3.72 9.29 0.0093

-46.700 -6.31 -4.21 -10.52 -0.0105 6.31 4.21 10.52 0.0105

-54.900 -6.70 -4.47 -11.17 -0.0112 6.70 4.47 11.17 0.0112

MIDSHIPAFT. FWD

PORT

STER

N

BO

W

STARBOARD

BARGE - PLAN

Swsag N/mm2

Wvsag N/mm2

Swhog N/mm2

Wvhog N/mm2

ε = ε0 .4x(L-x)/L2

This can be integrated to give cumulative longitudinal displacement Δx at x from stern:

Δx = ε0.(4(Lx2/2 -x3/3)/L2 - L/3)

Distance from Midships

Swsag Wvsag

Total Swsag + Wvsag

(mm)

Total Swsag + Wvsag

(m)

Swhog WvhogTotal Swhog

+ Wvhog

(mm)

Total Swhog + Wvhog

(m)

CL

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PROJECT No. P7512


Doc No. Rev. A1

-50 -30 -10 10 30 50

-15.00

-10.00

-5.00

0.00

5.00

10.00

15.00

Cummulative Deck Stretch (mm)

Total Swsag + Wvsag

Total Swhog + Wvhog

Distance from Stern Hull Vertical Deflection (Sag)Swsag

(m)99.4 0 0 0 -0.0166419622156184 0 0

103.75 0 0 0 -0.0133637970443159 0 0108.1 0 0 0 -0.00989653733535378 0 0112.2 0 0 0 -0.00649628999730899 0 0116.3 0 0 0 -0.00301014021091981 0 097.9 0 0 0 -0.017720915557425 0 0

106.6 0 0 0 -0.0111107553767031 0 0

Roll brace

114.8 0 0 0 -0.00429275278557716 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0 0

Pitch brace0 0 0 0 0 0

**Grillage support

Grillage support

99.4 0 0 0 -0.0166419622156184 0 0103.75 0 0 0 -0.0133637970443159 0 0108.1 0 0 0 -0.00989653733535378 0 0112.2 0 0 0 -0.00649628999730899 0 0116.3 0 0 0 -0.00301014021091981 0 097.9 0 0 0 -0.017720915557425 0 0

106.6 0 0 0 -0.0111107553767031 0 0114.8 0 0 0 -0.00429275278557716 0 0

Hull Vertical Deflection (Hog)Wvsag Total Swsag + Wvsag (m) Swhog Wvhog Total Swhog + Wvhog (m)

-0.049925887 0 0 -0.0665678488624737 0 0 0.0192768738133642 0 0 0.0578306214 0 0-0.040091391 0 0 -0.0534551881772637 0 0 0.0154796787754343 0 0 0.0464390363 0 0-0.029689612 0 0 -0.0395861493414151 0 0 0.011463449978502 0 0 0.0343903499 0 0-0.01948887 0 0 -0.025985159989236 0 0 0.00752484357978047 0 0 0.0225745307 0 0

-0.009030421 0 0 -0.0120405608436793 0 0 0.00348673385113069 0 0 0.0104602016 0 0-0.053162747 0 0 -0.0708836622296999 0 0 0.0205266571713022 0 0 0.0615799715 0 0-0.033332266 0 0 -0.0444430215068122 0 0 0.0128699144123074 0 0 0.0386097432 0 0-0.012878258 0 0 -0.0171710111423086 0 0 0.00497242168245504 0 0 0.014917265 0 0

0 0 0 0 0 0 0 00 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0

-0.049925887 0 0 -0.0665678488624737 0 0 0.0192768738133642 0 0 0.0578306214 0 0-0.040091391 0 0 -0.0534551881772637 0 0 0.0154796787754343 0 0 0.0464390363 0 0-0.029689612 0 0 -0.0395861493414151 0 0 0.011463449978502 0 0 0.0343903499 0 0-0.01948887 0 0 -0.025985159989236 0 0 0.00752484357978047 0 0 0.0225745307 0 0

-0.009030421 0 0 -0.0120405608436793 0 0 0.00348673385113069 0 0 0.0104602016 0 0-0.053162747 0 0 -0.0708836622296999 0 0 0.0205266571713022 0 0 0.0615799715 0 0-0.033332266 0 0 -0.0444430215068122 0 0 0.0128699144123074 0 0 0.0386097432 0 0-0.012878258 0 0 -0.0171710111423086 0 0 0.00497242168245504 0 0 0.014917265 0 0

Total Swhog + Wvhog (m)

0.07710749525345670.06191871510173710.045853799914008

0.03009937431912190.0139469354045228 Staad input0.08210662868520870.0514796576492295 00.0198896867298201

0.00000.0000

0 00

**Grillage support0.0771074952534567 11 1 11 1 FY 0.07710749525345670.0619187151017371 77 67 77 67 FY 0.06191871510173710.045853799914008 143 133 143 133 FY 0.045853799914008

0.0300993743191219 209 199 209 199 FY 0.03009937431912190.0139469354045228 275 265 275 265 FY 0.01394693540452280.0821066286852087 669 674 669 674 FY 0.08210662868520870.0514796576492295 670 673 670 673 FY 0.05147965764922950.0198896867298201 671 672 671 672 FY 0.0198896867298201

Distance from Midships

Deck Inward Displ. (Shrink)

(m)

-39.500######### -5.725###### -3.817######

-43.850######### -6.105###### -4.070######

-48.200######### -6.407###### -4.271######

-52.300######### -6.612###### -4.408######

-56.400######### -6.735###### -4.490######

-38.000######### -5.577###### -3.718######

-46.700######### -6.312###### -4.208######

Roll brace

-54.900######### -6.700###### -4.467######

**Roll brace**Pitch brace

Grillage support

-39.500 -5.725 -3.817-43.850 -6.105 -4.070-48.200 -6.407 -4.271-52.300 -6.612 -4.408-56.400 -6.735 -4.490-38.000 -5.577 -3.718-46.700 -6.312 -4.208-54.900 -6.700 -4.467

Swsag Wvsag

Deck Inward Displ. (Shrink) Deck Outward Displ. (Stretch)

-9.541###### -0.010###### 5.725###### 3.817###### 9.541###### 0.010

-10.175###### -0.010###### 6.105###### 4.070###### 10.175###### 0.010

-10.678###### -0.011###### 6.407###### 4.271###### 10.678###### 0.011

-11.020###### -0.011###### 6.612###### 4.408###### 11.020###### 0.011

-11.225###### -0.011###### 6.735###### 4.490###### 11.225###### 0.011

-9.295###### -0.009###### 5.577###### 3.718###### 9.295###### 0.009

-10.520###### -0.011###### 6.312###### 4.208###### 10.520###### 0.011

-11.167###### -0.011###### 6.700###### 4.467###### 11.167###### 0.011

-9.541 -0.010 5.725 3.817 9.541 0.010-10.175 -0.010 6.105 4.070 10.175 0.010-10.678 -0.011 6.407 4.271 10.678 0.011-11.020 -0.011 6.612 4.408 11.020 0.011-11.225 -0.011 6.735 4.490 11.225 0.011-9.295 -0.009 5.577 3.718 9.295 0.009

-10.520 -0.011 6.312 4.208 10.520 0.011-11.167 -0.011 6.700 4.467 11.167 0.011

Total Swsag + Wvsag

(mm)

Total Swsag + Wvsag

(m)Swhog Wvhog

Total Swhog + Wvhog

(mm)

Total Swhog +

Wvhog (m)

Deck Outward Displ. (Stretch)

Staad input

11 1 11 1 FY 0.0095412851947644177 67 77 67 FY 0.0101747731153841

143 133 143 133 FY 0.010677600957541209 199 209 199 FY 0.0110202801659787275 265 275 265 FY 0.0112245185409182669 674 669 674 FY 0.00929489438899743670 673 670 673 FY 0.010519779323822671 672 671 672 FY 0.011166542427418

Total Swhog +

Wvhog (m)

5.3 cmtr-07 barge vertical deflection & deck stretch c

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