Item no Title Filetype
1 Wall thickness calculation based on asme b31.8 excel
2Wall thickness calculation based on ASME B31.4 & B31.8 , 30 CFR Part 250, 49 CFR Parts 192 & 195 and DNV OS-F101
Mathcad
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Useful Calculation sheets for Oil and Gas Pipeline Engineering (Offshore & Onshore)
If you are intrested to order following files pls send your request to [email protected]
Design
Item no Title Filetype
The price for this collection is 50 US$
Useful Calculation sheets for Oil and Gas Pipeline Engineering (Offshore & Onshore)
If you are intrested to order following files pls send your request to [email protected]
26 Pipeline Settlement in soil Mathcad
27 Horizontal directional drilling calculations for pipeline crossing excel
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31 Soil pressure at touch down Mathcad
32 Simplified analysis for determination of stinger reaction force V-lay, J-lay vs S-lay Mathcad
33 Engineering units converter excel
34 Pipes and flanges data excel
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38 Calculation of natural gas properties based on gas composition excel
SOME EXAMPLES:
Construction
General
As D2 D 2t−( )2− π4
⋅:= As 0.031m2= steel area
Iπ64
D4 D 2t−( )4− ⋅:= I 9.143 10 4−× m4= moment of inertia
Wdry As ρst⋅ g⋅:= Wdry 2.361kN
m= dry weight
Bπ4
D2⋅ ρsw⋅ g⋅:= B 2.038kN
m= buoyancy
Wsub Wdry B−:= Wsub 0.323kN
m= submerged weight
Sg
Wdry
B:= Sg 1.159= relative density of the pipe
Msag εLCCE− I⋅
2D⋅:= Msag 226.77− kN m⋅= allowwable bending moment in the
sagbend
Simplified analysis for determination of stinger reaction force V-lay, J-lay vs S-lay
Pipe parameters
D 20 in⋅:= D 0.508m= Pipe outside diameter
t 20 mm⋅:= * t 0.02 m= Wall thickness
SMYS 485 MPa⋅:= Specified Minimum Yield strength
E 210000 MPa⋅:= Youngs modules
ρst 7850kg
m3⋅:= density steel
Environmental paremeters
y 2500 m⋅:= Waterdepth
ρsw 1025kg
m3:= Seawater density
Lay parameter
εLCC 0.12%:= allawable beding strain in sagbend (DNV, LCC criteria)
Calculated pipe parameters
L 2.632 103× m= Sagbend Length
H LH1:= H 50kN= Required Horizontal tension for bending strain criteria
T H2 Wsub L⋅( )2+:= T 852 kN= Total tension
V Wsub L⋅:= V 850.629 kN= Vertical tension
π2
atan h L H,( )( )α L( ) h L H,( )⋅
h L H,( ) 1+( )0.75+
− 86.651 deg= lay angle from differential equation
φ atanV
H:= φ 86.67deg= lay angle calculation
Stiffened Catenary Calculations in Pipline Laying problemD.A. Dixon, D.R. Rutledge, Journal of Engineering for industry, february 1968
LD
2 εLCC⋅1
εLCC y⋅ 2⋅
D+
2
1− 0.5
⋅:= L 2.703 103× m= estimate catenary lenght
H 1εLCC y⋅ 2⋅
D+
2
1− 0.5−
Wsub⋅ L⋅:= H 68.4 kN= Lay tension
dimensionless horizontal force dimensionless touchdown point
α L( )E I⋅
Wsub L3⋅:= h L H,( )
H
Wsub L⋅:= z0 L H,( )
E I⋅
L2 H⋅( )−:=
Given
y L h L H,( )2 1+( )0.5h L H,( )2 z0 L H,( )2+( )0.5
− α L( )2 1
h L H,( )0.5 h L H,( )2 z0 L H,( )2−( )0.75⋅
h L H,( )2
h L H,( )2 1+( )2−
⋅+
⋅=
Msagh L H,( )
h L H,( )2 z0 L H,( )2+
h L H,( )2 z0 L H,( )2+( )0.25
h L H,( )1.5−
E I⋅L
⋅=
LH Find L H,( ):=
L LH0:=
Rv 1.439kN=Rv Rvst sin β( )⋅:=d 0.576m=d sin β( ) clv⋅:=
Rh 49.5 kN=Rh Rvst cos β( )⋅:=Rvst 49.521 kN=Rvst T 2⋅ sin β( ):=Support reactions:
VRadius 341.3m=chord angleβ 1.665deg=β
π2
φ−
2:=
VRadius
clv
2 cosπ4
φ2
+ :=Stinger chord length and radius clv 19.833 m=clv
19.8m
sin φ( ):=
V - lay
φ
(π/2 +φ)/2
(π/2 +φ)/2
(π−φ)/2
(π−φ)/2
φ/2
(π/2 −φ)/2
φ
(π/2 +φ)/2
(π/2 +φ)/2
(π−φ)/2
(π−φ)/2
φ/2
(π/2 −φ)/2
SRadius
cls
2 cos 0.5 π φ−( )⋅ ⋅:=
βφ2
:= β 43.335 deg= SRadius 80.1 m=
Rsst T 2⋅ sin β( ):= Rsst 1.169 103× kN= Rhs Rsst sin β( )⋅:= Rhs 802.568 kN=
d sin β( ) cls⋅:= d 75.489 m= Rvs Rsst cos β( )⋅:= Rvs 850.629 kN=
R sst
T
V
H
Rhs
RvsSum H = 0 round T H− Rhs−( ) 0 kN=
Sum V = 0 round V Rvs−( ) 0 kN=
Sum M = 0 round T d⋅ Rsst
cls
2⋅− 0 kN m⋅=
R vst
T
V
HRh
Rv
Sum H = 0 round H Rh−( ) 0 kN=
Sum V = 0 round T V− Rv−( ) 0 kN=
Sum M = 0 round T d⋅ Rvst
clv
2⋅− 0 kN m⋅=
R jst
TV
HRhj
Rvj
J - lay
Rhj H:= Rhj 49.5 kN=
Rvj V:= Rvj 850.629 kN=
Rjst T:= Rjst 852.068 kN=
Sum H = 0 , sum V = 0 and Sum M = 0
S - lay
Stinger chord length cls 110 m⋅:=
year 365 day⋅≡day 24 hour⋅≡hour 60 minute⋅≡minute 60 s⋅≡
Time Units
psi1
145MPa⋅≡bar 0.1 MPa⋅≡MPa 1000000 Pa⋅≡Pa
N
m2≡
MNm 106 N⋅ m⋅≡kNm 1000 N⋅ m⋅≡MN 106 N⋅≡kN 1000 N⋅≡N kgm
s2⋅≡
Force/Pressures etc
km 1000 m⋅≡in 0.0254 m⋅≡mm 0.001 m⋅≡
Length Units
C 1Q≡g 9.81m
s2⋅≡s 1T≡m 1L≡kg 1M≡
Define Units and Conversions and Constants
PROJECTTITLE
d 457.20 mmTp 14.30 mmTcte 6.00 mmTconc 140.00 mmDs 7850.00 Kg/m3
Dcte 1400.00 Kg/m3
Dconc 3192.00 Kg/m3
Dw 1030.00 Kg/m3
Dprod 1030.00 Kg/m3
We 0.000 Kg/mγsoil 9.300 KN/m3
C 0.000 KN/m2
Φ 30.000 Degrees
Nq 18.40Nc 30.14Nγ 15.07Wp 156.193 Kg/mWcte 12.224 Kg/mWconc 855.265 Kg/mWcont 148.604 Kg/mWbouy 454.070 Kg/mWsub 718.2160 Kg/m
D 0.7492 mP 7.0457 KN/mB 0.3171 m
QU1 22.2201 KN/m2
QU2 22.2200 KN/m2
≈ 0.000 -
δ 35 mmK 0.2013 N/mm
D / 2 - [(D / 2)2 - (B / 2)2 ]1/2
P / δPipe Sinkage [Refer Figure]Soil Stiffness
RESULTS
QU1 - QU2
Pipe overall diameter
Ultimate bearing capacity of soilUltimate bearing capacity of soilTolerance of iterations
Submerged unit weight of pipePipe width in contact with soil after sinkage
d + 2Tcte + 2Tconc
P / BC NC + 0.5 B γsoil Nγ
Wp + We + Wcte + Wconc + Wcon t - Wbouy
Brinch Hansen's Bearing capacity factors
Unit weight of pipeUnit weight of corrosion coatingUnit weight of concrete coatingUnit weight of pipeline contentBouyancy of unit length of pipeSubmerged unit weight of pipe
π [d + Tcte] Tcte Dcte
π [d + 2Tcte + Tconc] Tconc Dconc
0.25 π [d - 2Tp]2 Dprod
0.25 π [d + 2Tcte + 2Tconc]2 Dw
Angle of Friction of soil (For Sandy Soil only else 0)
CALCULATIONSe π tan φ tan2 [45 + ( Φ / 2)]
[Nq - 1] cot Φ1.5 [Nq - 1] tan Φ
π [d - Tp] Tp Ds
-
Density of pipe contentUnit extra weightSubmerged density of soilCohesion of soil (For Clayey Soil only else 0)
Pipe outer diameterPipe wall thicknessThickness of corrosion coatingConcrete coating thicknessDensity of steelDensity of corrosion coatingDensity of concreteDensity of water
Sample calculations
INPUT PARAMETERS
DASinkage Ver 1.0.1 PIPELINE SINKAGE CALCULATIONS
Sample calculations
B
δ
D/2
D
P
QU
DESIGN AIDE - PIPELINE ENGINEERING [http://www.narendranath.itgo.com] Pipe Sinkage/DASinkage.xls
Pressure Drop Through a Pipe of a Two-Phase Fluid
1. Introduction
A mixture of gas and oil flow through a pipeline. This worksheet will use theLockhart-Martinelli correlation to find the two-phase pressure gradient.
2. Physical Parameters
The following physical parameters are known.
Pipe relative roughness e 0.0001:=
Pipe diameter D 150mm:=
Liquid flowrate WL 20kg s1−⋅:=
Gas flowrate WG 2kg s1−⋅:=
Liquid viscosity µL 0.005 Pa⋅ s⋅:=
Gas viscosity µG 1.35 105−⋅ Pa⋅ s⋅:=
Liquid density ρL 710kg m3−⋅:=
Gas density ρG 2.73kg m3−⋅:=
3. Mass Fluxes
Cross-sectionalarea of pipe
Aπ D
2⋅4
:= A 0.018 m2=
Liqud mass flux GL
WL
A:= GL 1131.8
kg
m2
s⋅=
Gas mass flux GG
WG
A:= GG 113.2
kg
m2
s⋅=
4. Reynolds Numbers
Liquid Reynolds number ReL
GL D⋅
µL:= ReL 3.395 10
4×=
Gas Reynolds number ReG
GG D⋅
µG:= ReG 1.258 10
6×=
5. Friction Factors
The individual liquid and gas friction factors are calculated with the Colebrook equation.
guess value fturb 0.01:=
Given
1
fturb2− log
e
3.7
2.51
Re fturb⋅+
⋅=
friction Re e,( ) Find fturb( ):=
Liquid friction factor fL friction ReL e,( ):= fL 0.023=
Gas friction factor fG friction ReG e,( ):= fG 0.013=
6. Individual Pressure Gradients
Liquid phase pressuregradient
dPdLL
fL
2
GL2
ρL D⋅⋅:= dPdLL 138.932
Pa
m=
Gas phase pressuregradient
dPdLG
fG
2
GG2
ρG D⋅⋅:= dPdLG 206.384
Pa
m=
7. Lockhart-Martinelli Factor and the Total Pressure Gradient
The two-phase multiplier will be calculated using the Lockhart-Martinelli paremeter and the correlations provided by Chisholm (1967).
Lockhart-Martinellifactor
Xtt
dPdLL
dPdLG:= Xtt 0.82=
Liquid two-phasemultiplier
ΦL 1 18Xtt1−+ Xtt
2−+
0.5:= ΦL 4.942=
Gas two-phase mutiplier ΦG 1 18Xtt+ Xtt2+
0.5:= ΦG 4.055=
Hence the total pressure gradient is calculated using both the gas and liquidtwo-phase multipliers. They should both be the same.
Total pressure gradient dPdLT_L dPdLL ΦL2
⋅:= dPdLT_L 3.393 103×
Pa
m=
dPdLT_G dPdLG ΦG2
⋅:= dPdLT_G 3.393 103×
Pa
m=
INTRODUCTION
This worksheet determines the possibility of local buckle occuring in the riser at the clamp
locations using DNV OS F101, October 2010.
INPUTS
MATERIAL PROPERTIES
Nominal Diameter of Pipeline ODnom 20in:=
Actual Outer Diameter of Pipeline ODac 20in:=
Wall Thickness t 0.812in:=
Pipe Material PLmatAPI 5L X42
API 5L X46
API 5L X52
API 5L X56
:=
Corrosion Allowance CA 0.118in:=
DESIGN CONDITIONS
Design Pressure Pdes 2010psi:=
Design Temperature Tdes 225 °F:=
Product Description Product "FWS":=
Density of sea water ρsw 1025 kg⋅ m3−
⋅:=
Water Depth WD 118.5ft:=
Case Dcond1. Operating Case
2. Hydrotest Case
:=
AUTOPIPE INPUTS
MF 139321lbf ft⋅:= Moment due to Functional Load
ME 44427lbf ft⋅:= Moment due to Environmental Load
SF 9299lbf:= Axial load due to Functional Load
SE 4806lbf:= Axial load due to Environmental Load
DNV OS F101 INPUTS
γF 1.1:= Load effect factor for Functional Load, Table 4-4 DNV OS F101
γE 1.3:= Load effect factor for Environmental Load, Table 4-4 DNV OS F101
γC 1.07:= Condition Load effect factor, Table 4-5 DNV OS F101
γm 1.15:= SLS/ULS/ALS = 1.15, FLS = 1, tABLE 5.4 Material resistance
factor
γsc 1.14:= Low = 1.04, Medium = 1.14, High = 1.26
fy.temp 23MPa:= Derating value due to temperature of the yield stress- Figure 2, the
derating value is considered for values above 50 deg C only for
Carbon steel pipes
fu.temp 23MPa:=
αu 0.96:= Material Strength factor - Table 5-6 DNV OS F101
DERIVED DATA
SMYS
SMTS
Wall thickness to be used is
Ssmys 42000 psi⋅=
Usmts 60200 psi⋅=
t 0.694 in⋅=
fy Ssmys fy.temp−( ) αu⋅ 3.712 104
× psi⋅=:=
fu Usmts fu.temp−( ) αu⋅ 5.459 104
× psi=:=
Phyd g WD⋅ ρsw⋅ 52.657 psi=:= Pressure as a result of the water depth
fcb min fy
fu
1.15,
3.712 104
× psi=:=
Pbu2 t CA−( )⋅
ODac t CA−( )−
fcb⋅2
3⋅ 2.542 10
3× psi=:=
CALCULATIONS
The Design Moment is given by
MSd MF γF⋅ γC⋅( ) ME γE⋅( )+:= Inteference and Accidental loads are assumed to be Zero
The plastic capacity for a pipe is given as
Mp fy ODac t−( )2
⋅ t⋅:=
The normalised moment is given as
MSdn
MSd
Mp
0.277=:=
The design Effective axial force is given by
SSd SF γF⋅ γC⋅( ) SE γE⋅( )+:= Inteference and Accidental loads are assumed to be Zero
The plastic capacity of the pipe is given as
Sp fy π⋅ ODac t−( )⋅ t⋅:=
The normalised axial force is given as
SSdn
SSd
Sp
0.011=:=
Factor used in combined loading strain is given as
β 0.5ODac
t
15<if
60ODac
t
−
9015
ODac
t
≤ 60≤if
0ODac
t
60>if
:=
β 0.346=
Effect of the D/t ratio is given as
αp 1 β−( )Pdes Phyd−
Pbu
2
3
<if
1 3β 1Pdes Phyd−
Pbu
−
⋅−
Pdes Phyd−
Pbu
2
3≥if
:=
αp 0.761=
Flow stress parameter is given as
αc 1 β−( ) βfu
fy
⋅+ 1.163=:=
LOAD CONTROLLED CONDITION
Pipe members subjected to bending moments, effective axial force and internal overpressure
shal be designed to satisfy the condition that the result of the equaltion must be less than 1
LBpos γm γsc⋅
MSdn
αc
⋅
γm γsc⋅ SSdn⋅
αc
2
+
2
αp
Pdes Phyd−
αc Pbu⋅
⋅
2
+ 0.351=:=
is "Not Likely" LBpos 1<if
"Likely" LBpos 1≥if
:=
The possibility of buckling at the location is "Not Likely"=
WALL THICKNESS CALCULATION
to calculate wall thickness based on Dnv 1981 & ASME B.31.4
PREPARED BY : IVGCHECKED BY :
Input data:
maximum water depthdmax 56m:=
minimum water depth
dmin 20m:=usage factor
ηh_1 0.72:=
ηh_2 0.5:=
temperature derating factor kt 1:=
seawater density ρsw 64lb
ft3
:=
maximum external pressure Pe_max ρsw g dmax:=Pe_max 5.63 10
5 Pa=
minimum external pressure Pe_min ρsw g dmin:=Pe_min 2.011 10
5 Pa=
pressure design Pd 1100psi:=
outside diameter D 28in:=
corrosion allowance CA 2.5mm:=
Material API 5L X - 52
Specified Minimum Yield Stress SMYS 52000psi:=
Specified Minimum Tensile Stress SMTS 66000psi:=
Modulus Elasticity E 207000MPa:=
STANDARD DNV 1981
Zone 1:
Minimum req wall thickness
tDNV_1
Pd Pe_min-( ) D2ηh_1 SMYS kt
:=tDNV_1 0.4 in=
Nominal wall thickness
tnom_1_DNV_sw tDNV_1 CA+:=tnom_1_DNV_sw 0.499 in=
Zone 2
Minimum req wall thicknesstDNV_2
Pd Pe_min-( ) D2ηh_2 SMYS kt
:=tDNV_2 0.577 in=
Nominal wall thicknesstnom_2_DNV_sw tDNV_2 CA+:=
tnom_2_DNV_sw 0.675 in=
STANDARD ASME B.31.4
Longitudinal joint factor Ε 1:=
S 0.72 Ε SMYS:= S 2.581 108
Pa=
Design hoop stress
Minimum wall thickness t31.4
Pd D
2S:= t31.4 0.411 in=
tnom_31.4_sw t31.4 CA+:= tnom_31.4_sw 0.51 in=Nominal wall thickness
SUMMARY AND CONCLUSION
DnV 1981
Zone 1 tnom_1_DNV_sw 0.499 in=
Zone 2tnom_2_DNV_sw 0.675 in=
ASME B.314
tnom_31.4_sw 0.51 in=
EN 8673 Subsea Pipeline Engineering Lecture 10 Winter 2009
Lecture 10 Example #1 Riser Wall Thickness Calculation
DEFINED UNITS
MPa 106Pa�� kPa 103Pa�� GPa 109Pa�� C K�� kN 103N��
PIPELINE SYSTEM PARAMETERS
Nominal Outside Diameter Do 914.4mm��
Initial Selection Nominal Wall Thickness (Sec.5 C203 Table 5-3) tnom 22.1mm��
Fabrication Process (Sec.7 B300 Table 7-1) [SMLS, HFW, SAW] FAB "SAW"��
Corrosion Allowance (Sec.6 D203, D204) tcorr 6mm��
Elastic Modulus E 205GPa��
Specified Minimum Yield Stress (Sec.7 B300 Table 7-5; 7-11) SMYS 450MPa��
Speciifed Minimum Tensile Stress (Sec.7 B300 Table 7-5; 7-11) SMTS 535MPa��
Coefficient of Thermal Expansion αT 1.15 10 5�� C 1�
��
Poisson's Ratio ν 0.3��
Pipeline Route Length Lp 10km��
Linepipe Density ρs 7850kg m 3����
Riser Neoprene Coating Thickness tc 12.5mm��
Riser Neoprene Coating Density ρc 1450kg m 3����
OPERATATIONAL PARAMETERS
API Gravity API 38��
Product Contents Density
ρcont 1000 kg� m 3��
141.5131.5 API�
��� ρcont 835 m 3� kg��
Design Pressure (Gauge) Pd 10MPa��
Safety Class (Sec.2 C200-C400) [L, M, H] SC "H"��
Design Pressure Reference Level href 25m��
Operational Temperature To 45 C���
Tie-in Temperature Tti 0 C���
Maximum Water Depth hl 0m��
Seawater Density ρw 1025kg m 3����
Hydrotest Fluid Density ρt 1025kg m 3����
09/02/2009 Page 1 of 5
EN 8673 Subsea Pipeline Engineering Lecture 10 Winter 2009
DNV OS-F101 PARTIAL FACTORS AND DESIGN PARAMETERS
System Operations Incidental/Design Pressure Factor (Sec.3 Table 3-1) γinc_o 1.10��
System Test Incidental/Design Pressure Factor (Sec.3 Table 3-1) γinc_t 1.00��
Material Resistance Factor (Sec.5 C205 Table 5-4) γm 1.15��
Safety Class Resistance Factor - Operatiosn (Sec.5 C206 Table 5-5) γSC_o 1.308��
Safety Class Resistance Factor - System Test (Sec.5 C206 Table 5-5) γSC_t 1.046��
Material Strength Factor (Sec.5 C306 Table 5-6) αU 0.96��
Maximum Fabrication Factor (Sec.5 C307 Table 5-7)
αfab 1.00 FAB "SMLS"=if
0.93 FAB "HFW"=if
0.85 FAB "SAW"=if
�� αfab 0.85�
Diameter Fabrication Tolerance(Sec.7 G201 Table 7-17)
ΔDo max 0.5mm 0.0075 Do��� FAB "SMLS"= Do 610mm��if
0.01 Do� FAB "SMLS"= Do 610mm �if
min max 0.5mm 0.0075 Do��� 3.2mm�� FAB "HFW"= Do 610mm��if
min 0.005 Do� 3.2mm�� FAB "HFW"= Do 610mm �if
min max 0.5mm 0.0075 Do��� 3.2mm�� FAB "SAW"= Do 610mm��if
min 0.005 Do� 3.2mm�� FAB "SAW"= Do 610mm �if
�� ΔDo 3.200 mm��
Wall Thickness Fabrication Tolerance(Sec.7 G307 Table 7-18)
tfab 0.5mm FAB "SMLS"= tnom 4mm��if
0.125 tnom� FAB "SMLS"= tnom 4mm �if
0.125 tnom� FAB "SMLS"= tnom 10mm��if
0.100 tnom� FAB "SMLS"= tnom 25mm��if
3mm FAB "SMLS"= tnom 30mm��if
0.4mm FAB "HFW"= tnom 6mm��if
0.7mm FAB "HFW"= tnom 6mm �if
1.0mm FAB "HFW"= tnom 15mm �if
0.5mm FAB "SAW"= tnom 6mm��if
0.7mm FAB "SAW"= tnom 6mm �if
1.0mm FAB "SAW"= tnom 10mm �if
1.0mm FAB "SAW"= tnom 20mm �if
�� tfab 1.000 mm��
09/02/2009 Page 2 of 5
EN 8673 Subsea Pipeline Engineering Lecture 10 Winter 2009
Material Derating (Sec.5 C300 Figure 2)
ΔSMYS 0MPa To 50C�if
To 50 C�� 30MPa50 C�
���
���
����
���
50 C� To� 100C�if
30MPa To 100 C�� 40MPa100 C�
���
���
�����
���
otherwise
�� ΔSMYS 0.00 MPa��
ΔSMTS 0MPa To 50C�if
To 50 C�� 30MPa50 C�
���
���
����
���
50 C� To� 100C�if
30MPa To 100 C�� 40MPa100 C�
���
���
�����
���
otherwise
�� ΔSMYS 0.00 MPa��
fy SMYS ΔSMYS�( ) αU��� fy 432 MPa��
fu SMTS ΔSMTS�( ) αU��� fu 514 MPa��
09/02/2009 Page 3 of 5
EN 8673 Subsea Pipeline Engineering Lecture 10 Winter 2009
ENGINEERING ANALYSIS
PIPELINE GEOMETRIC PROPERTIES
Astπ
4Do
2 Do 2 tnom�� 2��
������ Ast 6.20 104
� mm2��
Acπ
4Do 2 tc�� 2 Do
2��
������ Ac 3.64 104
� mm2��
Apπ
4Do 2 tc�� 2
��� Ap 6.93 105� mm2
��
BUOYANCY FORCE CALCULATION
BF g m� ρw Ap� ρc Ac�� ρs Ast�� ��� BF 1.68 kN��
Buoyancy Force Check
BFchk "NEGATIVE BUOYANCY" BF 0�if
"FLOTATION" otherwise
��
BFchk "FLOTATION"�
PRESSURE CONTAINMENT (Sec.5 D200)
Local Incidental Pressure During Operations (Sec.4 B202; Sec.5 D203)
Pli γinc_o Pd� ρcont g� href hl� ���� Pli 11.20 MPa��
Local Incidental Pressure System Test (Sec.4 B202; Sec.5 B203 & D203)
Plt γinc_t Pd� ρt g� href hl� �� γinc_t Pd� ρt g� href hl� �� Pli�if
1.03 Pli� SC "L"=if
1.05 Pli� SC "M"=if
1.05 Pli� SC "H"=if
�� Plt 11.76 MPa��
External Hydrostatic Pressure
Pe ρw g� hl��� Pe 0.00 MPa��
Characteristic Yield Resistance - Operations (Sec.5 D203)
fcb_o min fyfu
1.15��
���
���
�� fcb_o 432.00 MPa��
Characteristic Yield Resistance - System Test (Sec.5 D203)
fcb_t min SMYSSMTS1.15
�����
���
�� fcb_t 450.00 MPa��
09/02/2009 Page 4 of 5
EN 8673 Subsea Pipeline Engineering Lecture 10 Winter 2009
Wall Thickness Requirement - Operations (Sec.5 D202 Eqn.5.7)
t1_oDo
12
γSC_o γm� Pli Pe� �
2
3� fcb_o��
�� t1_o 15.19 mm��
Minimum Wall Thickness -Operations (Sec.5 C202 Table 5-2)
tmin_o t1_o tfab� tcorr��� tmin_o 22.19 mm��
Wall Thickness Requirement - System Test (Sec.5 D202 Eqn.5.7)
t1_tDo
12
γSC_t γm� Plt Pe� �
2
3� fcb_t��
�� t1_t 12.28 mm��
Minimum Wall Thickness - System Test (Sec.5 C202 Table 5-2)
tmin_t t1_t tfab��� tmin_t 13.28 mm��
Minimum Wall Thickness Requirement for Pressure Containment
tmin max tmin_o tmin_t�� �� tmin 22.19 mm��
WALL THICKNESS DESIGN CHECK - PRESSURE CONTAINMENT
Wall Thickness Check - Pressure Containment
tmin_chk_o "WT PRESSURE CONTAINMENT OPERATIONS OK" tnom tmin_o if
"INCREASE WT PRESSURE CONTAINMENT OPERATIONS" otherwise
��
tmin_chk_o "INCREASE WT PRESSURE CONTAINMENT OPERATIONS"�
Wall Thickness Check - System Test
tmin_chk_t "WT PRESSURE CONTAINMENT SYSTEM TEST OK" tnom tmin_t if
"INCREASE WT PRESSURE CONTAINMENT SYSTEM TEST" otherwise
��
tmin_chk_t "WT PRESSURE CONTAINMENT SYSTEM TEST OK"�
09/02/2009 Page 5 of 5
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