Structural assessment of the LBNF warm structure Authors

Structural assessment of the LBNF warm structure Author(s): CERN EP-DT-EO LBNF Cryostat, final design review SURF, 21 -22 August 2017 EDMS: 1832357

Table of Content • • Who Am I and Where Have I Been? Geometry Loads combination • • Procedure for structural assessment Preliminary analysis Stability analysis Non-linear analysis Seismic analysis Joints Openings • Documents and References • Summary LBNF 2 9/30/2020 CERN NP

Who Am I and Where Have I Been? Structural engineer Working at CERN since April 2002: • LHCb Technical Coordination Team • Safety Unit • Engineering Office – Detector Technologies CERN NP LBNF 3 9/30/2020

Geometry LBNF 4 CERN NP

Profile h [mm] b [mm] tw [mm] tf [mm] Material HL 1100 M 1108 LBNF 5 402 22 40 S 460 M/ML 30 S 460 M/ML HEB 600 300 15. 5 Tube 350 10 S 460 M/ML CERN NP

4 19 y z x 0 -4 LBNF 6 1 0 4 -19 39 Transversal frames: -19 to 19 9 Longitudinal frames: -4 to 4 4 Belts: 1 to 4 CERN NP Outer dimensions ~ 65. 84 m*18. 94 m*17. 84 m

Transversal frames LBNF 7 CERN NP

Longitudinal frames LBNF 8 CERN NP

Belts LBNF 9 CERN NP

Loads LBNF 10 CERN NP

Pressure transfer to frames LBNF 11 CERN NP

Detector mass= 200 tons Permanent = 2. 315 k. N/m 2 Operation = 13 k. N/m 2 Relief device = 35 k. N/m 2 Seismic floor Density =1400 kg/m 3 Seismic wall LBNF 12 CERN NP

Seismic LBNF 13 CERN NP

Spectrum Horizontal spectrum LBNF 14 Vertical spectrum CERN NP

Background -Seismic action in tanks Rigid impulsive pressure Ground acceleration Convective pressure Vertical pressure Response acceleration Flexible pressure LBNF 15 CERN NP

Assessment for x direction Impulsive/flexible pressure - wall LBNF 16 Impulsive/flexible pressure - base CERN NP

Assessment for x direction convective pressure - wall convective pressure - base Total and approximate - wall Total and approximate - base LBNF 17 CERN NP

Assessment for Y direction Total and approximate - wall Total and approximate - base Sloshing wave X direction: LBNF 18 Y direction: CERN NP

Load combinations LBNF 19 CERN NP

Gravity Selfweight CO LC 1 LC 2 1 1. 35 2 1. 35 3 1. 35 4 1. 35 5 1. 35 6 1 1 7 1 1 8 1 1 9 1 1 10 1 1 11 -18 1 1 19 -26 1 1 LBNF 27 -34 1 1 Seismic SLS ULS 20 Detect or LC 3 1. 35 1 Hydro. Min. Max. pres. Seismic pres. X Inertia X Seismic pres. Y Inertia Y Seismic Inertia pres. Z Z LC 4 LC 5 LC 6 LC 7 LC 8 LC 9 LC 10 LC 11 LC 12 1. 35 1. 4 1 1 1 1 +/-1 +/-0. 3 1 1 +/-0. 3 +/-1 +/-0. 3 1 1 +/-0. 3 CERN+/-1 NP +/-1

Background – load combinations Ultimate limit state (ULS) - combinations used for verification of: - Cross-section checks - Member checks - Joints Serviceability limit state (SLS) - combinations used for verification - Displacements Seismic - combinations used for verification of: - Cross-section checks - Member checks - Joints - displacements LBNF 21 CERN NP

Background – Imperfections Additional load combinations Included in verification formulas 102 load combinations: - 34 without imperfection - 34 + sway imperfection X - 34 + sway imperfection Y LBNF 22 CERN NP

Procedure for structural assessment LBNF 23 CERN NP

LBNF 24 CERN NP

Preliminary analysis LBNF 25 CERN NP

Results of the preliminary analysis Input: • Load combinations 1 - 10 (seismic combinations excluded) • Rigid press only contact on the floor LBNF 26 CERN NP

Stability analysis LBNF 27 CERN NP

Stability analysis - Input S combination # Limit state S 1 to S 5 ULS S 6 to S 10 SLS S 11 to S 18 Seismic in x direction S 19 to S 26 Seismic in y direction S 27 to S 34 Seismic in z direction Boundary conditions defined in preliminary NL analysis LBNF 28 CERN NP

Buckling modes & load multiplier Load combination 2 Load multiplier 18. 5 (lowest identified) LBNF 29 Combinat ion Mode Load multiplier Frame classification 1 1 21. 64 Non-sway 1 2 32. 91 Non-sway 2 1 18. 5 Non-sway 2 2 28. 89 Non-sway 3 1 35. 36 Non-sway 3 2 64. 38 Non-sway 4 1 160. 91 Non-sway 4 2 186. 18 Non-sway 5 1 254. 21 Non-sway 5 2 254. 26 Non-sway CERN NP

Non-linear analysis LBNF 30 CERN NP

Background LBNF 31 CERN NP

Background - ULS checks Type Check Criteria Section Axial load N<NRd Shear Load Vz<Vz. Rd Bending moment My<My. Rd Compression N<Nb. y. Rd N<Nb. z. Rd Bending My<Mb. Rd Buckling “Unit” check LBNF 32 Combined effects CERN NP

Unit check Section LBNF 33 CERN NP

Input for Non-linear analysis NL combination # Limit state Count Imperfection NL 1 to NL 5 NL 6 to NL 10 NL 35 to NL 39 NL 40 to NL 44 NL 69 to NL 73 NL 74 to NL 78 ULS SLS 5 5 5 No imperfection used in the assessment Sway imperfection in x direction Sway imperfection in y direction Rigid connections Press only contact LBNF 34 CERN NP

Bea m th r oug h be am con n ecti Mo on men t Pinn ed c onne ction s t n e om M Mo me nt LBNF 35 CERN NP

LBNF 36 CERN NP

Frame X 0 – envelope of all ULS combinations 1403 k. N 1405 k. N 3330 k. N. m 4838 k. N. m Axial load Shear load Bending moment 2600 k. N 2061 k. N LBNF 37 6565 k. N. m CERN NP

Frame X 0 – envelope of all SLS combinations Uz LBNF 38 1. 8 mm 5. 45 m CERN NP

Frame X 0 – Unit check for all ULS combinations Section LBNF 39 Stability Combined CERN NP

Parallel analytical calculations My=6565 k. N. m N=479 k. N LBNF 40 Vz=2600 k. N CERN NP

Section check NEd➢ 0. 48 MN; Vz. Ed➢ 2. 6 MN; My. Ed➢ 6. 566 MN. m ➢ 22. 05 MN My. Rd➢ 9. 26 MN. m Vz. Rd➢ 5. 88 MN LBNF 41 ➢ 0. 48/22. 05 + 6. 566/9. 264=0. 73 (software 0. 71) CERN NP

Stability check – Uniform members in compression ➢ 0. 83 ➢ 0. 951 ➢ 0. 706 ➢ 15. 563 MN LBNF 42 CERN NP

Stability check – Uniform members in bending Kz, kw – Buckling length coefficients (rot. about z, warping) – 1 for both case C 1, C 2 – Shape of bending moment diagram between braces – 2. 57; 0. 5 LBNF 43 CERN NP

Stability check – Unity check ➢ 0 (only for class 4) ➢ red. factor for compression ➢ red. factor for bending ➢ interaction factors: Kyy=0. 403 Kyz=0. 9 Kzy=0. 983 Kzz=1. 5 (worst case) ➢highest kzz and simplified method (software 0. 72) LBNF 44 CERN NP

➢ incomplete list of formulas to calculate interaction factors LBNF 45 CERN NP

Unit checks for all ULS combinations Max: 0. 77 Max: 0. 67 Max: 0. 92 LBNF 46 CERN NP

All SLS combinations LBNF 47 CERN NP

Seismic analysis LBNF 48 CERN NP

Input S combination # NL 11 to NL 18 Limit state Count Seismic x 8 direction NL 19 to NL 26 Seismic y 8 direction NL 27 to NL 34 Seismic z 8 direction NL 45 to NL 52 Seismic x 8 direction NL 53 to NL 60 Seismic y 8 direction NL 61 to NL 68 Seismic z 8 direction NL 79 to NL 86 Seismic x 8 direction NL 87 to NL 94 Seismic y 8 direction NL 95 to NL 201 Seismic z 8 direction LBNF 49 Imperfection No imperfection used in the assessment From preliminary analysis Sway imperfection in x direction Sway imperfection in y direction CERN NP

Unit check Max: 0. 62 (before 0. 77) LBNF 50 Max: 0. 62 (before 0. 67) Max: 0. 7 (before 0. 92) CERN NP

Displacements Uz: 51. 7 mm (before 39. 2) Ux: sliding 1. 6 mm at bottom Frame x 0 – higher displacements LBNF 51 CERN NP

Joints LBNF 52 CERN NP

Background LBNF 53 CERN NP

LBNF 54 CERN NP

C 5 C 6 C 2 C 6 C 3 C 4 C 1 LBNF 55 CERN NP

Checks and design capacities LBNF 56 CERN NP

Joint capacity and checks • • Check 1: Check 2: Check 3: Check 4: My. Rd [k. N. m] Vz. Rd [k. N] NRd [k. N] LBNF 57 Vj, Ed/Vj, Rd≤ 1 Mj, Ed/Mj, Rd≤ 1 Nj, Ed/Nj, Rd+ Mj, Ed/Mj, Rd ≤ 1 C 1 13470 5875 8674 C 2 4482 5211 5521 C 3 5910 5211 8674 Unit check for joints C 4 C 5 C 6 C 7 6230 925 0 1418 5211 1814 2805 2558 8674 2308 3558 3914 CERN NP

Worst case scenarios per connection Drawing # 1 2 8 14 15 19 Frame Transversal Longitudinal Belt Joint ID LC 1 RC 1 KBC 1 KC 1 RKC 1 Joint type C 1 C 1 C 1 Check # 4 1 4 4 check result 0. 539339534 0. 443550638 0. 728495929 0. 480837333 0. 298629141 0. 912933328 Load case NC 73 NC 39 NC 59 NC 73 My [k. Nm] -6418. 89 6586. 97 -6096. 26 6278. 09 3555. 06 -8483. 59 N [k. N] 544. 79 245. 49 2393. 29 -128. 01 -301. 03 2455. 78 Vz [k. N] 2563. 18 -2605. 86 1988. 49 -2432. 29 -1414. 62 2832 Frame # 16 11 1 -1 -4 2 Location in frame 2 1 4 1 1 1 22 Belt KLC 1 4 0. 95614156 NC 39 -8478. 68 2833. 73 2455. 61 2 3 3 4 5 6 7 16 Transversal Transversal Longitudinal LC 2 TC 3 LC 3 BC 3_1 KC 3 C 2 C 3 C 3 C 3 4 4 1 0. 986006341 0. 409448574 0. 348029169 0. 192624045 0. 357134864 0. 315012474 NC 73 NC 37 NC 39 NC 83 NC 73 NC 39 -3829. 03 1869. 79 703. 63 840. 83 339. 97 -471. 01 727. 08 807. 3 291. 06 436. 75 2598. 82 -93. 28 -1442. 81 0 1813. 58 1217. 45 345. 71 -1641. 53 16 12 -11 16 11 -1 2 3 2 2 4 1 17 9 10 20 21 Longitudinal Belt KC 3 KBC 4 X-19 RKC 4 Y-3 RKC 4 Y 0 C 3 C 4 C 4 4 4 4 1 4 0. 210459432 0. 696770917 0. 69931075 0. 319197851 0. 936437341 NC 87 NC 39 NC 73 -1166. 68 -2621. 93 -2668. 07 964. 85 4083. 83 -113. 21 2393. 29 2351. 08 2449. 26 2436. 76 -216. 33 1865. 74 1801. 34 1663. 34 39. 1 -4 1 0 2 2 1 4 5 1 1 23 Belt KLC 4 X-19 C 4 4 0. 992530295 NC 39 -4148. 17 2833. 73 2439. 95 2 3 11 18 Longitudinal KTC 5 KTC 6 C 5 C 6 4 1 0. 60980831 0. 29602852 NC 73 138. 22 0 1062. 56 113. 19 -138. 59 830. 36 -1 -1 3 1 24 12 Belt Longitudinal FLC 6 X-17 TC 7 X-19 C 6 C 7 3 1 0. 761247892 0. 056923378 NC 39 0 -144. 7 2708. 52 1050. 59 31. 36 -145. 61 2 1 3 3 13 Longitudinal TC 7 X-18 C 7 4 0. 414329574 NC 73 -207. 17 1049. 85 41. 94 -1 3 LBNF 58 CERN NP

TC 3: #4 TC 7 X-18: #13 KTC 5: #11 LC 2: #3 TC 7 X-18: #13 KTC 6: #18 KLC 1: #22 KLC 6 X-17: #24 KLC 4 X-19: #23 RKC 1: #19 KC 3: #16 LBNF 59 -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 78 9 1819 17 16 1415 1213 1011 RC 1: #2 Transversal frames: -19 to 19 Longitudinal frames: -4 to 4 CERN NP Belts: 1 to 4

C 3 transverse frames C 2 C 3 C 1 LBNF 60 CERN NP C 3

Longitudinal frames C 7 C 3 C 5 C 6 C 4 LBNF 61 C 1 CERN NP

Belts C 4 C 6 LBNF 62 CERN NP

Openings LBNF 63 CERN NP

Background Shear capacity Moment capacity Reinforcements to compensate openings LBNF 64 CERN NP

Capacity 140 mm 25 mm LBNF 65 CERN NP

Checks On the cross-section: • Check 1: Mj, Ed/Mj, o, Rd≤ 1 • Check 2: Vj, Ed/Vj, o, Rd≤ 1 • Check 3: Nj, Ed/Nj, o, Rd≤ 1 On the T section • Check 4: NTj, Ed/NT, j, Rd≤ 1 • Check 5: VTj, Ed/VT, j, Rd≤ 1 • Check 6: Vj, Ed*le/4*MT, j, Rd≤ 1 LBNF 66 CERN NP

Checks of transverse frames – reinforced holes LBNF 67 Frame x -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 RO 1 0. 160084 0. 191323 0. 292207 0. 487327 0. 484925 0. 48424 0. 483893 0. 4836 0. 483444 0. 483427 0. 483491 0. 483579 0. 483656 0. 48371 0. 483743 0. 483769 0. 483774 0. 483779 0. 483783 0. 483789 0. 483798 0. 483805 0. 483808 0. 483803 0. 483784 0. 483743 0. 483682 0. 483611 0. 483563 0. 483599 0. 48378 0. 484091 0. 484448 0. 485108 0. 487389 0. 291046 0. 190347 0. 161349 RO 2 0. 063112 0. 128095 0. 20861 0. 485463 0. 490446 0. 494921 0. 497733 0. 499038 0. 4994 0. 4993 0. 499034 0. 498757 0. 498538 0. 498393 0. 498313 0. 498278 0. 498269 0. 498273 0. 498278 0. 498281 0. 498278 0. 498273 0. 498269 0. 498278 0. 498313 0. 498393 0. 498538 0. 498757 0. 499034 0. 4993 0. 4994 0. 499038 0. 497733 0. 49492 0. 490446 0. 485463 0. 207483 0. 128237 0. 063261 RO 3 0. 039671 0. 132765 0. 245451 0. 715253 0. 705912 0. 699395 0. 695429 0. 693435 0. 692772 0. 69286 0. 693258 0. 6937 0. 694059 0. 694296 0. 694434 0. 694501 0. 694523 0. 694517 0. 694528 0. 694539 0. 69455 0. 694545 0. 69449 0. 694363 0. 694131 0. 693777 0. 693346 0. 692954 0. 692871 0. 69354 0. 695539 0. 699505 0. 706001 0. 715269 0. 247329 0. 134394 0. 039131 LO 1 0. 160416 0. 191323 0. 292207 0. 488155 0. 485885 0. 48526 0. 484925 0. 484616 0. 484431 0. 484389 0. 484436 0. 484513 0. 484583 0. 484632 0. 484662 0. 484675 0. 48468 0. 484679 0. 484678 0. 484679 0. 48468 0. 484675 0. 484662 0. 484632 0. 484583 0. 484513 0. 484436 0. 484389 0. 484431 0. 484616 0. 484925 0. 48526 0. 485885 0. 488155 0. 291573 0. 190502 0. 161349 LO 2 0. 062748 0. 128103 0. 20861 0. 48542 0. 490324 0. 494782 0. 497587 0. 498908 0. 49928 0. 499188 0. 498927 0. 498654 0. 498438 0. 498295 0. 498216 0. 498182 0. 498174 0. 498179 0. 498187 0. 498192 0. 49819 0. 498186 0. 498184 0. 498195 0. 498232 0. 498316 0. 498463 0. 498684 0. 498961 0. 499229 0. 499331 0. 498974 0. 497677 0. 494854 0. 490378 0. 485341 0. 207695 0. 128237 0. 063261 LO 3 0. 039671 0. 13293 0. 247373 0. 716253 0. 707094 0. 700659 0. 696716 0. 6947 0. 694009 0. 694075 0. 694462 0. 694898 0. 695257 0. 6955 0. 695644 0. 695705 0. 695721 0. 695716 0. 69571 0. 695705 0. 695716 0. 695721 0. 695705 0. 695644 0. 6955 0. 695257 0. 694898 0. 694462 0. 694075 0. 694009 0. 6947 0. 696716 0. 700659 0. 707094 0. 716253 0. 247362 0. 134394 0. 039311 BO 1 0. 064988 0. 083416 0. 108107 0. 15339 0. 165309 0. 169056 0. 170248 0. 17062 0. 170609 0. 170496 0. 170373 0. 170274 0. 170204 0. 170163 0. 170143 0. 170137 0. 170146 0. 170161 0. 17016 0. 17014 0. 170137 0. 170143 0. 170163 0. 170204 0. 170274 0. 170373 0. 170496 0. 170609 0. 17062 0. 170248 0. 169056 0. 165309 0. 15339 0. 108107 0. 083146 0. 064988 BO 2 0. 064479 0. 083416 0. 107966 0. 153288 0. 165112 0. 168819 0. 170001 0. 170377 0. 170371 0. 17026 0. 170141 0. 170043 0. 169974 0. 169931 0. 169903 0. 169905 0. 169909 0. 169924 0. 169926 0. 169924 0. 169909 0. 169905 0. 169903 0. 16991 0. 169931 0. 169974 0. 170043 0. 170141 0. 170259 0. 170366 0. 17037 0. 169998 0. 168819 0. 165112 0. 153256 0. 107966 0. 083111 0. 064968 CERN NP

Checks of longitudinal frames (base) - reinforced holes Values Max of -4 Max of -3 Max of -2 Max of -1 Max of 0 Max of 1 Max of 2 Max of 3 Max of 4 1_OX-19 2_OX-18 3_OX-17 4_OX-16 5_OX-15 6_OX-14 7_OX-13 8_OX-12 9_OX-11 10_OX-10 11_OX-9 12_OX-8 13_OX-7 14_OX-6 15_OX-5 16_OX-4 17_OX-3 18_OX-2 19_OX-1 20_OX 0 0. 354342 0. 140026 0. 156713 0. 151866 0. 150523 0. 147730 0. 147245 0. 146860 0. 146555 0. 146315 0. 146126 0. 145975 0. 145852 0. 145748 0. 145655 0. 145653 0. 145676 0. 145693 0. 145702 604 549 432 496 773 75 944 171 583 483 051 197 556 34 063 912 943 641 277 0. 449839 0. 184476 623 225 0 0 0 0 0. 628239 0. 278327 0. 188175 0. 173941 0. 174983 0. 175683 0. 176154 0. 176447 0. 176608 0. 176672 0. 176667 0. 176615 0. 176534 0. 176437 0. 176336 0. 176237 0. 176148 0. 176113 0. 176097 92 22 516 407 569 141 129 777 996 907 725 905 72 989 076 617 372 825 127 0. 722919 0. 338782 0. 215624 0. 193960 0. 191671 0. 189803 0. 188211 0. 186859 0. 185709 0. 184728 0. 183893 0. 183184 0. 182586 0. 182088 0. 181680 0. 181355 0. 181109 0. 180937 0. 180839 0. 180827 45 704 943 701 4 57 538 607 198 645 764 979 743 118 466 726 292 71 251 736 0. 688198 0. 247014 283 096 0 0 0 0 0. 722919 0. 338782 0. 215624 0. 193960 0. 191671 0. 189803 0. 188211 0. 186859 0. 185709 0. 184728 0. 183893 0. 183184 0. 182586 0. 182088 0. 181680 0. 181355 0. 181109 0. 180937 0. 180839 0. 180815 45 704 943 701 4 57 538 607 198 645 764 979 743 118 466 726 292 71 251 644 0. 628239 0. 278327 0. 188175 0. 173941 0. 174983 0. 175683 0. 176154 0. 176447 0. 176608 0. 176672 0. 176667 0. 176615 0. 176534 0. 176437 0. 176336 0. 176237 0. 176148 0. 176071 0. 176011 0. 175978 92 22 516 407 569 141 129 777 996 907 725 905 72 989 076 617 372 793 912 516 0. 449839 0. 184476 623 225 0 0 0 0 0. 354342 0. 140026 0. 156713 0. 151866 0. 150523 0. 147730 0. 147245 0. 146860 0. 146555 0. 146315 0. 146126 0. 145975 0. 145852 0. 145748 0. 145655 0. 145567 0. 145480 0. 145389 0. 145291 0. 145221 604 549 432 496 773 75 944 171 583 483 051 197 556 34 063 545 026 053 746 501 Checks of belts (long walls) - reinforced holes Values 1_ROX-19 10_ROX 2_ROX-18 3_ROX-17 4_ROX-16 5_ROX-15 6_ROX-14 7_ROX-13 8_ROX-12 9_ROX-11 10 11_ROX-9 12_ROX-8 13_ROX-7 14_ROX-6 15_ROX-5 16_ROX-4 17_ROX-3 18_ROX-2 19_ROX-1 20_ROX 0 Sum of 0. 243351 0. 153245 0. 152814 0. 152431 0. 152090 0. 151789 0. 151523 0. 151290 0. 151086 0. 150909 0. 150757 0. 150628 0. 150521 0. 150433 0. 150364 0. 150313 0. 150280 0. 150263 0. 150270 1 0. 720367561 968 571 888 418 556 423 413 222 396 632 626 651 556 462 944 699 304 606 516 Sum of 0. 390295 0. 155951 0. 155960 0. 155950 0. 155924 0. 155887 0. 155840 0. 155787 0. 155730 0. 155670 0. 155612 0. 155555 0. 155500 0. 155449 0. 155404 0. 155363 0. 155340 0. 155335 2 0. 874005688 528 161 949 585 675 25 036 064 062 756 027 025 325 657 17 29 834 077 Sum of 0. 268224 0. 101544 0. 101380 0. 101230 0. 101093 0. 100968 0. 100854 0. 100749 0. 100653 0. 100565 0. 100485 0. 100413 0. 100346 0. 100287 0. 100242 0. 100223 0. 100210 0. 100204 3 0. 552268724 608 559 461 759 723 779 198 406 827 733 699 151 936 055 144 476 143 Sum of 4 0 LBNF 68 0. 015799 0. 016592 0. 016563 0. 016528 0. 016472 0. 016447 0. 016421 0. 016391 0. 016357 0. 016318 0. 016271 0. 016217 0. 016155 0. 016084 0. 016004 0. 015913 0. 015811 0. 015784 979 828 463 34 0. 0164984 49 731 821 88 909 181 542 995 811 99 381 407 494 433 Checks of belts (small walls) - reinforced holes Values 1_KOY-4 Sum of 1 0. 744350906 Sum of 2 0. 934980389 Sum of 3 0. 675825484 Sum of 4 0 2_KOY-3 0. 357330 856 0. 626146 486 0. 353370 455 0 3_KOY-2 0. 427596 293 0. 530422 629 0. 344554 249 0. 055742 839 4_KOY-1 0. 470992 291 0. 584760 598 0. 408520 09 5_KOY 0 0. 471057 075 0. 584805 027 0. 408520 09 0 0 6_KOY 1 0. 427713 715 0. 530526 462 0. 344554 249 0. 055742 839 7_KOY 2 0. 357330 856 0. 625991 826 0. 353370 455 8_KOY 3 0. 744986 117 0. 934820 205 0. 675825 484 0 0 CERN NP

CERN NP LBNF 69 9/30/2020

References • • • LBNF 70 EN 1990 (2003) – Basis of structural design EN 1990/A 1 (2006) – Modifying basis of structural design EN 1993 -1 -1 (2005) – General rules EN 1993 -1 -1/NA (2005) – Annex to general rules EN 1993 -1 -1/A 1(2014) – Modifying general rules EN 1993 -1 -8 (2005) – Design of joints EN 1998 -1 (2005) – Seismic design general rules EN 1998 -1/A 1(2013) – Modifying seismic design general rules EN 1998 -4 (2007) – Seismic design of tanks CERN NP

Summary - LBNF members and joints comply with the requirements set by the EN 1993 - Several models and iterations (14) were performed in order to understand behavior of the structure (tested several options for boundary conditions and joint stiffness) - Code checks performed by software were verified by analytical methods (tools developed for the purpose) CERN NP LBNF 71 9/30/2020