INPUTNO PIPELINE DATA

1 Pipe Direction Ɵ 90 deg2 Outer Steel Diameter Ds 0.3415 m3 Steel Thickness t steel 0.025 m

4 Concrete Thickness t concrete 05 Water Density 1025 kg/m^36 Steel Density 7850 kg/m^37 Concrete Density 2250 kg/m^38 Content Density 820 kg/m^39 Gravitation g 9.81 m/s^2

COATING DATA10 Coating Thickness 1 t coat1 0.0003 m11 Coating Thickness 2 t coat2 0.0003 m12 Coating Thickness 3 t coat3 0.0024 m13 Coating Thickness 4 t coat4 0 m14 Coating Thickness 5 t coat5 0 m15 Coating Density 1 1300 kg/m^316 Coating Density 2 900 kg/m^317 Coating Density 3 900 kg/m^318 Coating Density 4 0 kg/m^319 Coating Density 5 0 kg/m^3

SOIL INTERACTION20 Soil Clay21 Bottom Roughness zo 5E-06 Silt and Clay22 Seabed Grain Size d50 0.0625 mm23 Reduction Factor, Permeable Seabed 124 Friction Coefficient µ 0.225 Dry Unit Soil Weight 18000 N/m^326 Undrained Shear Stregth Su 10000 N/m^3

ENVIRONMENTAL PARAMETER27 Spectral Spreading Exponent s 9928 Reference Current Height zr 3 m29 Water Depth d 100 m30 Peak Enhancement factor γ 3.331 Storm Duration Tstorm 3 hours32 Safety Class Factor

WAVE AND CURRENT DATA 1 year 10 years 100 yearsHs (m) 12 14 15Tp (s) 12 15 18Uc (m/s) 0.4 0.5 0.6

r seawaterρ steelρ concreteρ content

r coat1r coat2r coat3r coat4r coat5

τ perm,z

γs

γsc

SOLUTION

1) Short term wave conditions (JONSWAP)

0.34888890.007116

w t0.00 0.07 0.0000.05 0.07 0.0000.10 0.07 0.0000.15 0.07 0.0000.20 0.07 0.0200.25 0.07 6.1220.30 0.07 33.6410.35 0.09 125.1460.40 0.09 44.5580.45 0.09 23.7830.50 0.09 16.2940.55 0.09 11.1140.60 0.09 7.6340.65 0.09 5.3200.70 0.09 3.7720.75 0.09 2.7220.80 0.09 1.9970.85 0.09 1.4900.90 0.09 1.1270.95 0.09 0.8651.00 0.09 0.6721.05 0.09 0.5281.10 0.09 0.4201.15 0.09 0.3371.20 0.09 0.2731.25 0.09 0.2231.30 0.09 0.1831.35 0.09 0.1521.40 0.09 0.1271.45 0.09 0.1061.50 0.09 0.090

ωp=a=

S(w)

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.000

20.000

40.000

60.000

80.000

100.000

120.000

140.000

www

wwww

p

p

p

.

4

5.g.=S

2

5,0exp4

5 .exp2

1.55 0.09 0.0761.60 0.09 0.0651.65 0.09 0.0561.70 0.09 0.0481.75 0.09 0.0421.80 0.09 0.0361.85 0.09 0.0321.90 0.09 0.0281.95 0.09 0.0242.00 0.09 0.021

2) Wave Induced Spectrum

k w^2/g0.0000 0.01650.0010 0.01650.0020 0.01650.0030 0.01650.0040 0.01650.0050 0.01650.0060 0.01650.0070 0.01650.0080 0.01650.0090 0.01650.0100 0.01650.0110 0.01650.0120 0.01650.0130 0.01650.0140 0.01650.0150 0.01650.0160 0.01650.0170 0.01650.0180 0.0165

Maka,k= 0.0175

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.000

20.000

40.000

60.000

80.000

100.000

120.000

140.000

www

wwww

p

p

p

.

4

5.g.=S

2

5,0exp4

5 .exp2

Wave Induced Spectrum

k.tanh(k.d) w S(w) G(w) G^2(w) Suu FS

0.0000 0.00 0.000 0.0000 0.0000 0.0000 10.0001 0.05 0.000 0.0179 0.0003 0.0000 40.0004 0.10 0.000 0.0358 0.0013 0.0000 20.0009 0.15 0.000 0.0538 0.0029 0.0000 40.0015 0.20 0.020 0.0717 0.0051 0.0001 20.0023 0.25 6.122 0.0896 0.0080 0.0491 40.0032 0.30 33.641 0.1075 0.0116 0.3888 20.0042 0.35 125.146 0.1254 0.0157 1.9689 40.0053 0.40 44.558 0.1433 0.0205 0.9156 20.0064 0.45 23.783 0.1613 0.0260 0.6185 40.0076 0.50 16.294 0.1792 0.0321 0.5232 20.0088 0.55 11.114 0.1971 0.0388 0.4318 40.0100 0.60 7.634 0.2150 0.0462 0.3530 20.0112 0.65 5.320 0.2329 0.0543 0.2887 40.0124 0.70 3.772 0.2509 0.0629 0.2374 20.0136 0.75 2.722 0.2688 0.0722 0.1966 40.0147 0.80 1.997 0.2867 0.0822 0.1642 20.0159 0.85 1.490 0.3046 0.0928 0.1382 40.0170 0.90 1.127 0.3225 0.1040 0.1173 2

0.95 0.865 0.3405 0.1159 0.1003 41.00 0.672 0.3584 0.1284 0.0863 21.05 0.528 0.3763 0.1416 0.0748 41.10 0.420 0.3942 0.1554 0.0652 21.15 0.337 0.4121 0.1698 0.0572 41.20 0.273 0.4300 0.1849 0.0504 21.25 0.223 0.4480 0.2007 0.0447 41.30 0.183 0.4659 0.2170 0.0398 21.35 0.152 0.4838 0.2341 0.0355 41.40 0.127 0.5017 0.2517 0.0319 21.45 0.106 0.5196 0.2700 0.0287 41.50 0.090 0.5376 0.2890 0.0260 21.55 0.076 0.5555 0.3086 0.0235 41.60 0.065 0.5734 0.3288 0.0214 21.65 0.056 0.5913 0.3496 0.0195 41.70 0.048 0.6092 0.3712 0.0179 21.75 0.042 0.6271 0.3933 0.0164 41.80 0.036 0.6451 0.4161 0.0151 21.85 0.032 0.6630 0.4395 0.0139 41.90 0.028 0.6809 0.4636 0.0128 21.95 0.024 0.6988 0.4884 0.0118 42.00 0.021 0.7167 0.5137 0.0110 1

Jumlah

Mo 0.37690.000 0.000 0.000 0.000 M1 0.20810.000 0.000 0.000 0.000 M2 0.14870.000 0.000 0.000 0.000 M4 0.16710.000 0.000 0.000 0.0000.000 0.000 0.000 0.0000.197 0.049 0.012 0.0010.778 0.233 0.070 0.0067.875 2.756 0.965 0.1181.831 0.732 0.293 0.0472.474 1.113 0.501 0.1011.046 0.523 0.262 0.065 Us= 1.228 m/s1.727 0.950 0.522 0.158 Tu= 9.997 sec (Mean zero up-crossing period)

0.706 0.424 0.254 0.091 Tp= 5.925 sec (Mean peak period)

1.155 0.751 0.488 0.206 Tn= 3.193 sec (Reference period)0.475 0.332 0.233 0.1140.786 0.590 0.442 0.2490.328 0.263 0.210 0.1340.553 0.470 0.399 0.2890.235 0.211 0.190 0.1540.401 0.381 0.362 0.3270.173 0.173 0.173 0.1730.299 0.314 0.330 0.3640.130 0.144 0.158 0.1910.229 0.263 0.303 0.4000.101 0.121 0.145 0.2090.179 0.223 0.279 0.4360.080 0.103 0.134 0.2270.142 0.192 0.259 0.4720.064 0.089 0.125 0.2450.115 0.167 0.242 0.5080.052 0.078 0.117 0.2630.094 0.146 0.226 0.5440.043 0.069 0.110 0.2810.078 0.129 0.213 0.5790.036 0.061 0.103 0.2980.066 0.115 0.201 0.6140.030 0.054 0.098 0.3160.055 0.103 0.190 0.6500.026 0.049 0.092 0.3340.047 0.092 0.180 0.6850.011 0.022 0.044 0.176

22.617 12.485 8.925 10.027

m0 m1 m2 m4

3) Current Conditions 4) Generalized Lateral Stability

ODpipe= 0.3475 m a) Soil Clay Stregth Parameter (Gc)Gc=

V(c)= 0.46 m/s

b)

(Mean zero up-crossing period)

(Mean peak period)(Reference period)

c) U*,T*,K*,M*

Tn/Tu=

T*=

Ku=U*=

K*=M*=

Number of Oscillations (τ)τ=

KT=

Generalized Lateral Stability 5)

Soil Clay Stregth Parameter (Gc) a)1.599

b)

1080.322 c)

d)

e)

f)

0.319371

1 (for Tn/Tu>0,2)9.99702

1.9460392.389574

690.19

Number of Oscillations (τ)

Absolute Lateral Static Stability 6) Pipe Weight

1.83 a) Steel WeightWst= 1913.2954

Cy*= 1.27Cz*= 1.09 b) Coating 1 weight

Wcs1= 4.1061548r pen,y= 0.9429r pen,z= 1.0769992 1.0769994 c) Coating 2 Weight

Wcs2= 2.8477127Fy*= 1385Fz*= 1232 d) Coating 3 Weight

Wcs3= 22.681899Kc= 2.277Gc= 1.599 e) Content Weight

Wcont= 536.57401zpi= 0.014 m

FR= 1540 N/me) TOTAL WEIGHT

Wtot= 2479.5052

B= 953.1739

Wsub= 1526

γsc=

Pipe Weight 7) Absolute Check

Steel Weight a) 1.9386117 <= 1 NOT OKN/m

b) 1.4771105 <= 1 NOT OKCoating 1 weight

N/m

Coating 2 Weight a 7227.31N/m

Coating 3 Weight b 2530.89N/m

N/m

N/m

N/m

N/m

w S(w) G(w) G^2(w) Suu FS

0.00 0.000 1.000 1.000 0.000 1.000 0.000 0.000 0.0000.05 0.000 0.018 0.000 0.000 4.000 0.000 0.000 0.0000.10 0.000 0.036 0.001 0.000 2.000 0.000 0.000 0.0000.15 0.000 0.054 0.003 0.000 4.000 0.000 0.000 0.0000.20 0.020 0.072 0.005 0.020 2.000 0.040 0.008 0.0020.25 6.122 0.090 0.008 6.122 4.000 24.488 6.122 1.5300.30 33.641 0.108 0.012 33.641 2.000 67.282 20.184 6.0550.35 125.146 0.125 0.016 125.146 4.000 500.583 175.204 61.3210.40 44.558 0.143 0.021 44.558 2.000 89.117 35.647 14.2590.45 23.783 0.161 0.026 23.783 4.000 95.132 42.809 19.2640.50 16.294 0.179 0.032 16.294 2.000 32.588 16.294 8.1470.55 11.114 0.197 0.039 11.114 4.000 44.455 24.450 13.4480.60 7.634 0.215 0.046 7.634 2.000 15.268 9.161 5.4970.65 5.320 0.233 0.054 5.320 4.000 21.282 13.833 8.9920.70 3.772 0.251 0.063 3.772 2.000 7.544 5.281 3.6970.75 2.722 0.269 0.072 2.722 4.000 10.887 8.165 6.1240.80 1.997 0.287 0.082 1.997 2.000 3.995 3.196 2.5570.85 1.490 0.305 0.093 1.490 4.000 5.958 5.065 4.3050.90 1.127 0.323 0.104 1.127 2.000 2.255 2.029 1.8260.95 0.865 0.340 0.116 0.865 4.000 3.461 3.287 3.1231.00 0.672 0.358 0.128 0.672 2.000 1.344 1.344 1.3441.05 0.528 0.376 0.142 0.528 4.000 2.114 2.220 2.3301.10 0.420 0.394 0.155 0.420 2.000 0.840 0.924 1.0161.15 0.337 0.412 0.170 0.337 4.000 1.348 1.550 1.7821.20 0.273 0.430 0.185 0.273 2.000 0.546 0.655 0.7861.25 0.223 0.448 0.201 0.223 4.000 0.891 1.114 1.3921.30 0.183 0.466 0.217 0.183 2.000 0.366 0.476 0.6191.35 0.152 0.484 0.234 0.152 4.000 0.607 0.820 1.1071.40 0.127 0.502 0.252 0.127 2.000 0.253 0.355 0.4971.45 0.106 0.520 0.270 0.106 4.000 0.426 0.617 0.8951.50 0.090 0.538 0.289 0.090 2.000 0.180 0.270 0.4041.55 0.076 0.555 0.309 0.076 4.000 0.305 0.473 0.7331.60 0.065 0.573 0.329 0.065 2.000 0.130 0.208 0.3331.65 0.056 0.591 0.350 0.056 4.000 0.223 0.369 0.6081.70 0.048 0.609 0.371 0.048 2.000 0.096 0.164 0.2781.75 0.042 0.627 0.393 0.042 4.000 0.167 0.291 0.5101.80 0.036 0.645 0.416 0.036 2.000 0.072 0.130 0.2341.85 0.032 0.663 0.440 0.032 4.000 0.126 0.233 0.4321.90 0.028 0.681 0.464 0.028 2.000 0.055 0.105 0.1991.95 0.024 0.699 0.488 0.024 4.000 0.097 0.189 0.3692.00 0.021 0.717 0.514 0.021 1.000 0.021 0.043 0.086

Jumlah 934.543 383.286 176.103

m0 m1 m2

0.000 m0 15.5757090.000 m1 6.38809940.000 m2 2.93504810.000 m4 1.15822620.0000.096 tp 9.99701990.545 tu7.5122.2813.9012.0374.068 0.62818721.9793.7991.8113.4451.6363.1101.4792.8191.3442.5691.2292.3571.1312.1751.0472.0180.9741.8810.9101.7620.8541.6560.8041.5620.7601.4780.7201.4030.342

69.494

m4