BY LARS EINAR S. STIENG AND MICHAEL MUSKULUS
FOR: "RELIABILITY-BASED DESIGN OPTIMIZATION OF OFFSHORE WIND TURBINE SUPPORT STRUCTURES USING ANALYTICAL SENSITIVITIES AND FACTORIZED UNCERTAINTY MODELING"
 
%iter_no      Diameters (first half) and thicknesses (last half) 
       0 6.0000000000 6.0000000000 6.0000000000 6.0000000000 5.7870000000 5.5740000000 5.3610000000 5.1480000000 4.9350000000 4.7220000000 4.5090000000 4.2960000000 4.0830000000 3.8700000000 0.0600000000 0.0600000000 0.0600000000 0.0270000000 0.0262000000 0.0254000000 0.0246000000 0.0238000000 0.0230000000 0.0222000000 0.0214000000 0.0206000000 0.0198000000 0.0190000000 
       1 5.9993740487 5.9502446072 5.9333580507 4.7695969784 4.6057805097 4.4739632256 4.3415856654 4.2225005975 4.1074657765 3.9678563122 3.8383922066 3.6011738630 3.4158604530 3.2979955535 0.0608712288 0.0606394234 0.0605631780 0.0403819930 0.0390569363 0.0380010068 0.0369399599 0.0359901880 0.0350737770 0.0339502033 0.0329110976 0.0317482819 0.0304575333 0.0285138974 
       2 6.0880498822 5.8883086515 5.8868023073 5.2398189190 5.0870195398 4.8670649038 4.6529122153 4.4594295664 4.2882267079 4.1113160046 3.9464893930 3.7018260431 3.5189595459 3.4343028459 0.0620460145 0.0614562778 0.0612157237 0.0449470563 0.0437271559 0.0419696357 0.0402616884 0.0387283601 0.0373792314 0.0359770628 0.0346772539 0.0336329849 0.0323552700 0.0305816195 
       3 6.1192376345 5.7666660024 5.7545905446 5.2162834410 5.0667763373 4.7934547462 4.5312177109 4.2819906564 4.0729091648 3.8782362000 3.7026173288 3.5477395651 3.4109164996 3.3477945394 0.0639596278 0.0628665811 0.0623794720 0.0528981010 0.0513859700 0.0499909891 0.0486444878 0.0473525737 0.0460512861 0.0444751780 0.0429625773 0.0409430925 0.0393151682 0.0377137131 
       4 6.1158186822 5.6531571876 5.6148256123 5.1602162419 5.0112143649 4.7598692187 4.5138042981 4.2733485159 4.0634933458 3.8679737915 3.6905062668 3.5595192838 3.4513304004 3.4150968136 0.0658416432 0.0643460557 0.0635800309 0.0599893759 0.0583874917 0.0567470950 0.0552433223 0.0538319693 0.0523799798 0.0506148992 0.0489002759 0.0466588371 0.0449037074 0.0432594616 
       5 6.0790829310 5.4716420601 5.3659116007 5.1087377444 4.9659059945 4.7349574029 4.5066658769 4.2781227344 4.0721410422 3.8852973141 3.7170122507 3.6417328336 3.5820662068 3.5714332392 0.0692017321 0.0671347019 0.0658155554 0.0714617898 0.0697233373 0.0679928479 0.0664579691 0.0650044367 0.0634044941 0.0613852457 0.0593781049 0.0566126602 0.0546344053 0.0530295002 
       6 6.0577150862 5.4833775073 5.3898676939 5.1061759331 4.9633248194 4.7272144242 4.4951583366 4.2650924734 4.0592486895 3.8718217221 3.7029672005 3.6175956842 3.5485975573 3.5318105527 0.0682954086 0.0663740274 0.0651629143 0.0689213625 0.0672124267 0.0655326685 0.0640273229 0.0626005384 0.0610423614 0.0590831860 0.0571425430 0.0544788522 0.0525461838 0.0509376643 
       7 5.9455587700 5.5010984887 5.4488733466 5.0821423078 4.9403299817 4.6854979150 4.4405290777 4.2066480982 4.0028823677 3.8148898033 3.6456116392 3.5232287486 3.4204370746 3.3800389530 0.0646655977 0.0633244563 0.0625020068 0.0592009474 0.0576135787 0.0561502627 0.0547742068 0.0534625548 0.0520718535 0.0503484778 0.0486662946 0.0463919142 0.0446369515 0.0430227069 
       8 5.8828315252 5.4455243080 5.3829972507 5.0463616950 4.9072455544 4.6530933970 4.4098220086 4.1790852740 3.9779710278 3.7931477720 3.6275220057 3.5093940980 3.4105731281 3.3704369121 0.0643194339 0.0630316290 0.0621622461 0.0592706795 0.0576900771 0.0562716520 0.0549297119 0.0536460093 0.0522706689 0.0505556179 0.0488788391 0.0465893294 0.0448328441 0.0432303272 
       9 5.6592201469 5.2441708916 5.1293414956 4.9172706776 4.7871551930 4.5404711741 4.3075858136 4.0912430085 3.9005871334 3.7282949751 3.5767233356 3.4755006521 3.3932037485 3.3554362020 0.0632649255 0.0621615111 0.0610459382 0.0600907540 0.0585342352 0.0572681483 0.0560438446 0.0548546481 0.0535231008 0.0518264352 0.0501548671 0.0478006028 0.0460350260 0.0444824497 
      10 5.4851629283 5.2116891526 5.0918296674 4.8434335112 4.7145223400 4.4569806436 4.2189200001 4.0062703734 3.8208067465 3.6503042490 3.5009851570 3.3650324790 3.2530503367 3.1915557607 0.0590094933 0.0586047136 0.0576908961 0.0500568792 0.0486371558 0.0476595342 0.0466171166 0.0455821186 0.0444369728 0.0429910627 0.0415885971 0.0396319176 0.0380545120 0.0365187370 
      11 5.5375164136 5.2622086451 5.1532795664 4.8682587117 4.7280652078 4.4711734189 4.2347398028 4.0195088562 3.8263869794 3.6469295037 3.4894954048 3.3304140516 3.1993959627 3.1275554097 0.0575689772 0.0572623945 0.0564722832 0.0452425222 0.0438562121 0.0429547292 0.0419587012 0.0409487757 0.0398459009 0.0384904800 0.0371963283 0.0354546086 0.0339736742 0.0324385044 
      12 5.5650690168 5.2334764932 5.1033233592 4.8756011257 4.7198509421 4.4775481887 4.2542956840 4.0413163210 3.8396552800 3.6540708013 3.4913703983 3.3329362066 3.2050871308 3.1359726077 0.0576077160 0.0571745756 0.0562517055 0.0456451403 0.0442109319 0.0433251099 0.0423510913 0.0413293947 0.0401838444 0.0387989234 0.0374769729 0.0357328009 0.0342576427 0.0327466278 
      13 5.6248614693 5.1633687410 4.9267624837 4.8963868729 4.6920299931 4.4951086821 4.3081078324 4.1033702599 3.8818450014 3.6730146747 3.4892707421 3.3249770479 3.2020480065 3.1385295057 0.0569088969 0.0563103631 0.0548451216 0.0452099541 0.0436559738 0.0428477313 0.0419414175 0.0408988344 0.0396652544 0.0382155604 0.0368363197 0.0351594905 0.0337416796 0.0323241079 
      14 5.6859927518 5.2100532113 4.9147204873 4.9361122735 4.7181532432 4.5319126725 4.3534998944 4.1497897522 3.9202285114 3.6995291097 3.5010112049 3.3292808288 3.2048664194 3.1443960549 0.0567378218 0.0562072096 0.0544580085 0.0449519294 0.0433708598 0.0425146877 0.0415824688 0.0405032557 0.0392244092 0.0377413777 0.0363236120 0.0346857643 0.0332958578 0.0319181617 
      15 5.6874758445 5.2402151033 4.9206320206 4.9442399782 4.7316620512 4.5425122778 4.3634343246 4.1603341925 3.9313930593 3.7080543695 3.5011988399 3.3256006316 3.2012304792 3.1437132174 0.0564507767 0.0561108553 0.0542069547 0.0450014197 0.0434421062 0.0425217035 0.0415541305 0.0404521781 0.0391602159 0.0376649007 0.0362167473 0.0345832344 0.0332034619 0.0318636748 
      16 5.6819555828 5.2907864591 4.9465059791 4.9516422553 4.7538512794 4.5573339259 4.3752635339 4.1742603655 3.9484628649 3.7210328419 3.4947756948 3.3091490950 3.1847816529 3.1349194599 0.0555641146 0.0556741763 0.0534861475 0.0450931936 0.0435892552 0.0425138908 0.0414566739 0.0403009789 0.0389808031 0.0374621143 0.0359402102 0.0343100734 0.0329524986 0.0317166585 
      17 5.7098950894 5.3516643262 5.0024294933 4.9609695857 4.7817533017 4.5793556166 4.3961857028 4.1992939835 3.9770761830 3.7408193083 3.4773771260 3.2710982285 3.1465890583 3.1131685051 0.0537710389 0.0545558820 0.0519039512 0.0453098538 0.0438798980 0.0425211828 0.0412961640 0.0400270707 0.0386366639 0.0370664119 0.0353972799 0.0337674265 0.0324509817 0.0314392056 
      18 5.8117665037 5.3812734142 5.0914405561 4.9656579129 4.7980809102 4.5974430629 4.4161647279 4.2230806859 4.0034412540 3.7573442530 3.4544131401 3.2230834281 3.0975051608 3.0860665473 0.0517213235 0.0529752664 0.0498966942 0.0459201978 0.0445417716 0.0428593380 0.0414300965 0.0400083952 0.0385142304 0.0368704948 0.0350205848 0.0333615181 0.0320764124 0.0313642339 
      19 5.8492757340 5.3709736335 5.1318788939 4.9517107848 4.7851629214 4.5855809595 4.4025494565 4.2098347469 3.9941228333 3.7522161741 3.4534710464 3.2190319122 3.0902795744 3.0830536197 0.0513480896 0.0525343760 0.0494310123 0.0463503655 0.0449731718 0.0432326527 0.0417541241 0.0402966226 0.0387835361 0.0371318225 0.0352644182 0.0335706664 0.0322632193 0.0316341525 
      20 5.8689664437 5.3794361370 5.1530932097 4.9358275444 4.7622342624 4.5668421312 4.3816585563 4.1888796853 3.9777950297 3.7467716262 3.4741458776 3.2429438999 3.1053380941 3.0942799814 0.0513996874 0.0523484191 0.0491718727 0.0464077148 0.0450106479 0.0433050829 0.0418224634 0.0403610769 0.0388532833 0.0372262050 0.0354216246 0.0337112782 0.0323575755 0.0317665650 
      21 5.8855142140 5.4141168527 5.1719044756 4.9046859831 4.7176869515 4.5338639019 4.3465812735 4.1558435045 3.9534965037 3.7429943996 3.5196631189 3.2939690411 3.1387590708 3.1203003204 0.0511874003 0.0517470095 0.0481985156 0.0464384523 0.0450138627 0.0433600978 0.0418556501 0.0403752907 0.0388647783 0.0372831642 0.0355944681 0.0338663244 0.0324281856 0.0319585699 
      22 5.8761277791 5.4277097089 5.1741808865 4.8992987763 4.7076188577 4.5269777637 4.3411045046 4.1506537229 3.9496226686 3.7438579170 3.5333127733 3.3108535692 3.1519729597 3.1303716874 0.0511385760 0.0515413014 0.0478499594 0.0464702118 0.0450367032 0.0433978830 0.0418938968 0.0404056462 0.0388888742 0.0373165578 0.0356574023 0.0339292910 0.0324702960 0.0320446587 
      23 5.8695509314 5.4396918885 5.1862444495 4.9049662302 4.7076379914 4.5294318333 4.3477769407 4.1561193645 3.9529064528 3.7473801705 3.5423037029 3.3238284257 3.1640966407 3.1387379173 0.0511630672 0.0513045227 0.0475173177 0.0464676465 0.0450235556 0.0433937031 0.0418986457 0.0403963901 0.0388619904 0.0372868863 0.0356392127 0.0339199570 0.0324528281 0.0320672980 
      24 5.8625360957 5.4459671665 5.2065281030 4.9182905505 4.7125650396 4.5367723890 4.3630679118 4.1685645321 3.9588557014 3.7497090727 3.5467690367 3.3362883131 3.1787781456 3.1464199577 0.0513443234 0.0509509019 0.0471148810 0.0463966466 0.0449363668 0.0433361718 0.0418746444 0.0403587470 0.0387944943 0.0372064029 0.0355637306 0.0338627070 0.0323946795 0.0320517152 
      25 5.8843714888 5.4856936890 5.2214082575 4.9410969005 4.6940936907 4.5412421870 4.3905183894 4.1969261304 3.9675618122 3.7534530020 3.5695214609 3.3549843974 3.1755918078 3.1260361375 0.0498209448 0.0486635831 0.0444329841 0.0427168965 0.0411945921 0.0397187952 0.0383378303 0.0367989977 0.0351669955 0.0336361263 0.0321351399 0.0306414692 0.0292121027 0.0290522634 
      26 5.8770812935 5.4983929479 5.2499366121 4.9738186878 4.7627143397 4.5773938673 4.4129367962 4.2167602248 3.9812782219 3.7473821977 3.5080484717 3.2827076517 3.1134170268 3.0709063460 0.0492033923 0.0483645254 0.0444256246 0.0416663632 0.0402328495 0.0386023566 0.0371674428 0.0356171688 0.0339702746 0.0324030881 0.0307824598 0.0293524261 0.0280213843 0.0278322885 
      27 5.8862483725 5.5072900564 5.2529229870 4.9654024857 4.7598704906 4.5705890631 4.3943235456 4.1974149378 3.9677871754 3.7380112740 3.5030653427 3.2810533270 3.1118703706 3.0686797098 0.0494454237 0.0482760971 0.0443648428 0.0420500847 0.0405690681 0.0389427951 0.0374630874 0.0358994849 0.0342449017 0.0326639807 0.0310438003 0.0295826554 0.0282318621 0.0280488658 
      28 5.8903645782 5.5244351977 5.2529182224 4.9644777374 4.7678315354 4.5713073677 4.3765010884 4.1782071829 3.9566952137 3.7287203053 3.4884893831 3.2664807804 3.0984619148 3.0560223897 0.0495879146 0.0480072103 0.0442644598 0.0421606355 0.0406212538 0.0389900064 0.0374318331 0.0358461858 0.0341797070 0.0325687643 0.0309397950 0.0294475399 0.0280927644 0.0279115461 
      29 5.8893273359 5.5318743955 5.2531989823 4.9651864880 4.7678681039 4.5725458590 4.3751848333 4.1762985931 3.9581109542 3.7314491651 3.4907460195 3.2663832710 3.0980105405 3.0566400290 0.0496571957 0.0478508470 0.0442825264 0.0422359656 0.0406620964 0.0390398648 0.0374578718 0.0358563051 0.0341758631 0.0325421304 0.0309215598 0.0293997487 0.0280378649 0.0278624068 
      30 5.8891237102 5.5481001153 5.2523549254 4.9636220140 4.7630344056 4.5722473969 4.3752954470 4.1764598246 3.9636104613 3.7410684842 3.5029772367 3.2720120679 3.1004503035 3.0628762944 0.0496893589 0.0474524382 0.0443209998 0.0423282699 0.0406918942 0.0390887149 0.0374709532 0.0358366557 0.0341159964 0.0324276102 0.0308388757 0.0292457950 0.0278606198 0.0277058173 
      31 5.8895791894 5.5577562410 5.2508315675 4.9614437465 4.7612782505 4.5708812568 4.3763313161 4.1781336365 3.9665099929 3.7463027639 3.5100917478 3.2761736444 3.1024143478 3.0678988675 0.0496889908 0.0472229684 0.0443893430 0.0423852308 0.0407260797 0.0391274760 0.0375002311 0.0358519702 0.0341009476 0.0323711453 0.0307997055 0.0291568265 0.0277534701 0.0276064498 
      32 5.8899463503 5.5580449185 5.2497223135 4.9607198845 4.7623282133 4.5697515336 4.3771786135 4.1794488596 3.9657288350 3.7454111803 3.5101344272 3.2781553473 3.1040152007 3.0700162637 0.0496821393 0.0472169718 0.0444240653 0.0423754613 0.0407291888 0.0391289955 0.0375160991 0.0358746412 0.0341162366 0.0323739733 0.0308013339 0.0291473267 0.0277371140 0.0275840232 
      33 5.8903153180 5.5585658913 5.2491678825 4.9605721488 4.7641596912 4.5684923921 4.3771897083 4.1798337940 3.9632325517 3.7425322977 3.5086508066 3.2814283843 3.1070447502 3.0732433538 0.0496749081 0.0472041315 0.0444334438 0.0423486296 0.0407218140 0.0391240531 0.0375326726 0.0359041175 0.0341383088 0.0323764620 0.0307970912 0.0291246002 0.0277027226 0.0275384877 
      34 5.8904035829 5.5585388230 5.2488007240 4.9612633731 4.7649107216 4.5682575759 4.3766464651 4.1792919406 3.9614596871 3.7405318218 3.5072524173 3.2845615087 3.1102638346 3.0767648233 0.0496663203 0.0472015164 0.0444379422 0.0423273923 0.0407134167 0.0391240108 0.0375482078 0.0359313576 0.0341644091 0.0323837847 0.0307942166 0.0290968866 0.0276635922 0.0274852176 
      35 5.8903688766 5.5580401137 5.2487994361 4.9625190469 4.7644161256 4.5691110871 4.3757420819 4.1778921991 3.9610350927 3.7402530037 3.5063419402 3.2868419263 3.1130946565 3.0801195193 0.0496600330 0.0472099165 0.0444373240 0.0423168116 0.0407062716 0.0391288220 0.0375594485 0.0359502592 0.0341895728 0.0323941818 0.0307918317 0.0290614144 0.0276184717 0.0274228999 
      36 5.8992858610 5.5798000101 5.2582862475 4.9764740125 4.7743789178 4.5797653206 4.3793424643 4.1794878613 3.9637069049 3.7416018210 3.5039240311 3.2891940453 3.1114324884 3.0802946267 0.0492703787 0.0465521497 0.0439305602 0.0414783144 0.0398624053 0.0383057041 0.0367260687 0.0351154217 0.0333338929 0.0314592280 0.0298345461 0.0279989448 0.0265269250 0.0263112380 
      37 5.8961537010 5.5751384755 5.2562152174 4.9682658020 4.7695764505 4.5756421827 4.3763720797 4.1758081805 3.9629755134 3.7459479716 3.5094201697 3.2880154460 3.1095414251 3.0811040909 0.0492340481 0.0466061157 0.0439564139 0.0415613332 0.0399154777 0.0383223423 0.0367155467 0.0350855186 0.0333073609 0.0314714114 0.0298081999 0.0279132416 0.0264318397 0.0261931739 
      38 5.8959453722 5.5745062129 5.2567156431 4.9677581371 4.7701184323 4.5743789727 4.3785282133 4.1781657404 3.9624335444 3.7472179660 3.5150007343 3.2945451595 3.1151477740 3.0880326911 0.0492455545 0.0466210763 0.0439364133 0.0415780553 0.0399304385 0.0383111707 0.0367019953 0.0350640506 0.0332744184 0.0314669545 0.0297300365 0.0277698184 0.0262642049 0.0259957375 
      39 5.8958406879 5.5738889967 5.2566468652 4.9673259889 4.7699555049 4.5739859456 4.3785838119 4.1788642132 3.9624400388 3.7461466973 3.5163471159 3.2936875061 3.1136030937 3.0858888232 0.0492486676 0.0466357945 0.0439367912 0.0415929938 0.0399460619 0.0383189752 0.0366991473 0.0350510614 0.0332589359 0.0314819153 0.0297182998 0.0277921772 0.0262911971 0.0260365773 
      40 5.8958253651 5.5738416284 5.2565813165 4.9674664149 4.7697259819 4.5739532105 4.3785299016 4.1791354501 3.9625920532 3.7448495190 3.5178990568 3.2943808800 3.1137754311 3.0855999751 0.0492475761 0.0466360942 0.0439385139 0.0415932013 0.0399510901 0.0383242472 0.0366996301 0.0350442698 0.0332510841 0.0314984468 0.0296875597 0.0277887899 0.0262878906 0.0260433809 
      41 5.8958237639 5.5738625068 5.2565612194 4.9675335175 4.7696709375 4.5739409501 4.3784634766 4.1790886361 3.9627299760 3.7441198948 3.5188537855 3.2945655848 3.1139012588 3.0853583630 0.0492474243 0.0466354462 0.0439390417 0.0415908285 0.0399517936 0.0383265997 0.0367016897 0.0350436232 0.0332507061 0.0315123475 0.0296653998 0.0277870029 0.0262872802 0.0260501434 
      42 5.8958247361 5.5738826561 5.2565674367 4.9675299546 4.7697231180 4.5739280071 4.3784421021 4.1789937632 3.9627259025 3.7439929108 3.5192121734 3.2944273543 3.1139052393 3.0852307528 0.0492476682 0.0466351221 0.0439388521 0.0415895836 0.0399504702 0.0383260462 0.0367027407 0.0350456537 0.0332529641 0.0315174699 0.0296574414 0.0277862980 0.0262875719 0.0260530823 
      43 5.8968665108 5.5773899156 5.2579571175 4.9686126677 4.7710974585 4.5749135988 4.3790209922 4.1792578998 3.9628723482 3.7458874600 3.5217923610 3.2958129721 3.1139815804 3.0863040654 0.0491638576 0.0465119306 0.0438423258 0.0414435280 0.0397961329 0.0381617378 0.0365297647 0.0348677876 0.0330664868 0.0313236776 0.0294341108 0.0275327906 0.0260225408 0.0257803389 
      44 5.8967939895 5.5774085055 5.2578930359 4.9685914253 4.7710463846 4.5749154303 4.3789300718 4.1791204145 3.9628067398 3.7469008893 3.5222111200 3.2959202630 3.1142732697 3.0864310133 0.0491630302 0.0465137160 0.0438426140 0.0414438739 0.0397977211 0.0381641174 0.0365321215 0.0348692061 0.0330679981 0.0313058939 0.0294243219 0.0275329349 0.0260226054 0.0257859603 
      45 5.8967778216 5.5773588833 5.2578874570 4.9685915798 4.7710255716 4.5748872396 4.3788929271 4.1790866038 3.9627546588 3.7476608262 3.5224249108 3.2959567466 3.1143940575 3.0863986023 0.0491629226 0.0465144632 0.0438424469 0.0414437195 0.0397983732 0.0381651274 0.0365332374 0.0348699366 0.0330688683 0.0312912481 0.0294185898 0.0275328697 0.0260218238 0.0257885158 
      46 5.8967774133 5.5773508253 5.2578891248 4.9685964304 4.7710212091 4.5748782372 4.3788820353 4.1790815625 3.9627426806 3.7475787205 3.5224364562 3.2959655043 3.1143993765 3.0863680770 0.0491629362 0.0465146638 0.0438424179 0.0414436345 0.0397985225 0.0381653826 0.0365335190 0.0348701315 0.0330691939 0.0312924746 0.0294182855 0.0275330407 0.0260217637 0.0257889212 
      47 5.8969558076 5.5780304072 5.2581363102 4.9688549937 4.7712501496 4.5750402942 4.3789477833 4.1790921572 3.9627350571 3.7482366747 3.5230028865 3.2962959908 3.1145176213 3.0866074549 0.0491459227 0.0464908080 0.0438231038 0.0414147483 0.0397683826 0.0381335434 0.0364997015 0.0348345838 0.0330321118 0.0312479975 0.0293713296 0.0274824040 0.0259679590 0.0257358524 
      48 5.8969531620 5.5780252846 5.2581572483 4.9688510341 4.7712464293 4.5750345427 4.3789421021 4.1790860155 3.9627311671 3.7482439293 3.5229967133 3.2963041615 3.1145202788 3.0866289011 0.0491458978 0.0464908564 0.0438233044 0.0414148049 0.0397683815 0.0381335591 0.0364997377 0.0348345872 0.0330320234 0.0312478400 0.0293712135 0.0274824960 0.0259679841 0.0257358144 
      49 5.8969531522 5.5780252758 5.2581572412 4.9688509418 4.7712464245 4.5750344795 4.3789420360 4.1790859610 3.9627312665 3.7482438363 3.5229965410 3.2963037711 3.1145202893 3.0866295737 0.0491458977 0.0464908564 0.0438233044 0.0414148078 0.0397683794 0.0381335585 0.0364997390 0.0348345872 0.0330320187 0.0312478415 0.0293712099 0.0274825075 0.0259679802 0.0257358107 
