RULES FOR CLASSIFICATION. Ships. Part 3 Hull Chapter 6 Hull local scantling. Edition January 2017 DNV GL AS

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RULES FOR CLASSIFICATION Ships Edition January 2017 Part 3 Hull Chapter 6 The content of this service document is the subject of intellectual property rights reserved by ("DNV GL"). The user accepts that it is prohibited by anyone else but DNV GL and/or its licensees to offer and/or perform classification, certification and/or verification services, including the issuance of certificates and/or declarations of conformity, wholly or partly, on the basis of and/or pursuant to this document whether free of charge or chargeable, without DNV GL's prior written consent. DNV GL is not responsible for the consequences arising from any use of this document by others. The electronic pdf version of this document, available free of charge from http://www.dnvgl.com, is the officially binding version.

FOREWORD DNV GL rules for classification contain procedural and technical requirements related to obtaining and retaining a class certificate. The rules represent all requirements adopted by the Society as basis for classification. January 2017 Any comments may be sent by e-mail to rules@dnvgl.com If any person suffers loss or damage which is proved to have been caused by any negligent act or omission of DNV GL, then DNV GL shall pay compensation to such person for his proved direct loss or damage. However, the compensation shall not exceed an amount equal to ten times the fee charged for the service in question, provided that the maximum compensation shall never exceed USD 2 million. In this provision "DNV GL" shall mean, its direct and indirect owners as well as all its affiliates, subsidiaries, directors, officers, employees, agents and any other acting on behalf of DNV GL.

CHANGES CURRENT This document supersedes the July 2016 edition. Changes in this document are highlighted in red colour. However, if the changes involve a whole chapter, section or sub-section, normally only the title will be in red colour. Main changes January 2017, entering into force as from date of publication Sec.3 Minimum thicknesses Sec.3 Table 1: The minimum thickness of superstructure side is adjusted. Sec.4 Plating Sec.4 Table 1: The acceptance criteria for flooding pressure is adjusted for plate and stiffeners. Sec.5 Stiffeners Sec.5 Table 4: The acceptance criteria for flooding pressure is adjusted for plate and stiffeners. Editorial corrections Part 3 Chapter 6 Changes - current In addition to the above stated changes, editorial corrections may have been made. Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 3

CONTENTS Changes current... 3 Section 1 General...6 1 Application...6 1.1 Application...6 1.2 Acceptance criteria... 6 Section 2 Load application... 7 1 Load combination... 7 1.1 Hull girder stress...7 1.2 Lateral pressures...7 1.3 Pressure combination... 7 2 Design load sets... 8 2.1 Application of load components... 8 Part 3 Chapter 6 Contents Section 3 Minimum thicknesses... 17 1 Plating... 17 1.1 Minimum thickness requirements...17 2 Stiffeners and tripping brackets... 18 2.1 Minimum thickness requirements...18 3 Primary supporting members... 18 3.1 Minimum thickness requirements...18 Section 4 Plating... 20 1 Plating subjected to lateral pressure...20 1.1 General...20 1.2 Plating of corrugated bulkheads...21 2 Special requirements... 23 2.1 Bilge plating...23 2.2 Side shell plating in aft- and forebody...25 Section 5 Stiffeners...26 1 Stiffeners subject to lateral pressure... 26 1.1 General...26 1.2 Beam analysis... 29 Section 6 Primary supporting members and pillars... 31 1 General... 31 Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 4

1.1 Application... 31 2 Primary supporting members... 31 2.1 Scantling requirements...31 2.2 Direct strength - beam analysis...34 3 Pillars...35 3.1 Pillars subjected to compressive axial load...35 3.2 Pillars subject to tensile axial load... 35 Section 7 Intersection of stiffeners and PSM...37 1 Stiffener connections...37 1.1 Arrangement of cut-outs...37 1.2 Connection of stiffeners to PSM...40 1.3 Simplified calculation of connection of stiffeners to PSM...44 Section 8 Superstructure, deckhouse and companionways... 46 1 General... 46 1.1 Application... 46 2 Structural arrangement... 48 2.1 Structural continuity...48 2.2 End connections... 48 2.3 Local reinforcement on bulkheads...49 2.4 Exposed sides of superstructure sides... 49 3 Scantlings... 49 3.1 Minimum thicknesses and minimum section modulus...49 3.2 Plating...49 3.3 Stiffeners... 50 3.4 Primary supporting members... 50 3.5 Aluminium deckhouse or superstructure... 50 Part 3 Chapter 6 Contents Changes historic...51 Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 5

SECTION 1 GENERAL 1 Application 1.1 Application 1.1.1 This chapter applies to hull structure over the full length of the ship. 1.1.2 This chapter provides requirements for evaluation of plating, stiffeners and primary supporting members (PSM) subject to lateral pressure, local loads and hull girder loads, as applicable. Requirements are specified for: load application in Sec.2 minimum thickness of plates, stiffeners and PSM in Sec.3 plating in Sec.4 stiffeners in Sec.5 PSM and pillars in Sec.6 intersection of stiffeners and PSM in Sec.7 superstructure and deckhouse in Sec.8. In addition, other requirements not related to defined design load sets, are provided. Part 3 Chapter 6 Section 1 1.1.3 Required scantlings The offered net scantling shall be greater than or equal to the required scantlings based on requirements provided in this chapter. 1.1.4 Additional local strength requirements Additional local strength requirements are provided in Ch.10 considering sloshing, impact loads (bow impact, bottom slamming and liquid impact in tanks), special cargo loads (steel coil and wheel loading) and additional local strength requirement for various structural members. 1.2 Acceptance criteria 1.2.1 Acceptance criteria shall be selected as defined in Sec.2 Table 1 and Sec.2 Table 2. Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 6

SECTION 2 LOAD APPLICATION Symbols For symbols not defined in this section, see Ch.1 Sec.4. 1 Load combination 1.1 Hull girder stress 1.1.1 Hull girder longitudinal stress applicable for load components S The hull girder longitudinal stress σ hg, in N/mm 2, for load component S shall be taken as: where: σ hg-sw = hull girder longitudinal stress, in N/mm 2, due to vertical still water bending moment as defined in Ch.5 Sec.3 [2] for ships without large deck openings and in Ch.5 Sec.3 [3] for ships with large deck openings. Part 3 Chapter 6 Section 2 1.1.2 Hull girder longitudinal stress applicable for load components S+D The hull girder longitudinal stress σ hg, in N/mm 2, for load components S+D shall be taken as defined in Ch.5 Sec.3 [2] for ships without large deck openings and in Ch.5 Sec.3 [3] for ships with large deck openings. 1.2 Lateral pressures 1.2.1 Static and dynamic pressures in intact conditions The static and dynamic lateral pressures, as defined in Ch.4, in intact condition induced by the sea and the various types of cargoes, ballast and other liquids shall be considered. Applied loads will depend on the location of the elements under consideration, and the adjacent type of compartments. 1.2.2 Lateral pressure in flooded conditions Watertight boundaries of compartments not intended to carry liquids, excluding hull envelope, shall be subjected to lateral pressure in flooded conditions. Compartments intended to carry liquids which have overflow height below freeboard deck shall also be checked for lateral pressure in flooded conditions. 1.3 Pressure combination 1.3.1 Elements of the outer shell If the compartment adjacent to the outer shell is intended to carry liquids, the static and dynamic lateral pressures to be considered are the differences between the internal pressures and the external sea pressures at the corresponding draught. If the compartment adjacent to the outer shell is not intended to carry liquids, the internal pressures and external sea pressures shall be considered independently. 1.3.2 Elements other than those of the outer shell Except as specified in [1.3.1], the static and dynamic lateral pressures on an element separating two adjacent compartments are those obtained considering the two compartments individually loaded. Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 7

2 Design load sets 2.1 Application of load components 2.1.1 Application These requirements apply to: plating and stiffeners along the full length of the ship primary supporting members, if scantlings are not determined by global FE analysis or partial ship structural FE analysis plating, stiffeners and primary supporting members in superstructures and deckhouses contributing to hull girder longitudinal strength. 2.1.2 Load components The static and dynamic load components shall be determined in accordance with Ch.4 Sec.7 Table 1. Radius of gyration, k r, and metacentric height, GM, shall be in accordance with Ch.4 Sec.3 for the considered loading conditions specified in the design load sets given in Table 1. Part 3 Chapter 6 Section 2 2.1.3 Design load sets for plating and stiffeners Static and dynamic design load sets for plating and stiffeners are given in Table 1. Impact and sloshing load sets are considered in Ch.10. In addition, design load sets for specific ship types are given in Pt.5. Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 8

Table 1 Design load sets Structural member External shell and exposed deck Superstructure side Design load set Design load scenario SEA-1 2 Load component 4) P S + P W, P D max(p W ;P SI ) Draught Acceptance criteria External shell SEA-2 1 P S T SC AC-I - Boundaries of water ballast tanks and ballast holds T SC AC-II WB-1 2 P ls-1 + P ld (P S + P W ) 1) T BAL AC-II WB-2 3 P ls-2 + P ld (P S + P W ) 1) T BAL AC-II WB-3 4 max(p ls-4 ;P ls-st ) P S 1) max(t BAL ; 0.25T SC ) AC-III - Loading condition for definition of GM and k r Full load condition Normal ballast condition Normal ballast condition Part 3 Chapter 6 Section 2 WB-4 1 P ls-3 P S 1) max(t BAL ; 0.25T SC ) AC-I - Boundaries of tanks other than ballast water tanks TK-1 2 P ls-1 + P ld (P S + P W ) (1) T BAL AC-II 1) max(t BAL ; TK-2 4 P ls-st P S AC-III 0.25T SC ) Normal ballast condition TK-3 1 P ls-3 P S 1) max(t BAL ; 0.25T SC ) AC-I - Internal structures in tanks Collision bulkhead INT-1 1 P int T SC AC-I - AC-I Watertight boundaries other than collision bulkhead FD-1 5 P fs T DAM AC-III - Exposed decks and non-exposed decks and platforms with distributed load UDL-1 2) 2 UDL-2 2) 1 P dl-s + P dl-d F U-s + F U-d T BAL 3) AC-II P dl-s F U-s - AC-I - Normal ballast condition 3) Decks and hatch covers/ RO/RO equipments with wheel loading WL-1 2) 2 P wl-2 T BAL 3) AC-II WL-2 2) 1 P wl-1 - AC-I - Normal ballast condition 3) Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 9

Structural member Design load set Design load scenario Load component 4) 1) (P S + P W ) and P S shall be considered for external shell only. Draught Acceptance criteria Loading condition for definition of GM and k r 2) Distributed or concentrated loads only. Need not to be combined with simultaneously occurring green sea pressure. 3) For cargo loads, draught, GM and k r values may be based on actual cargo conditions in the loading manual. 4) Local loads: P S = hydrostatic sea pressure as given in Ch.4 Sec.5 [1.2] P W = wave pressure as given in Ch.4 Sec.5 [1.3] P D P A = = external dynamic design pressure for exposed decks and wheelhouse top due to green sea loading as given in Ch.4 Sec.5 [2.2] and Ch.4 Sec.5 [3.2], respectively design pressure for aft- and forward external bulkheads of superstructure and deckhouse walls as given in Ch.4 Sec.5 [3.4] P SI = external design pressure for external side of superstructure as given in Ch.4 Sec.5 [3.4] P ls-1 = static tank pressure during normal operations at sea as given in Ch.4 Sec.6 [1.2.1] P ls-2 = static tank pressure during flow through ballast water exchange as given in Ch.4 Sec.6 [1.2.2] P ls-3 = static tank pressure during normal operations at harbour/sheltered water as given in Ch.4 Sec.6 [1.2.3] P ls-4 = static tank pressure during overfilling of ballast water tanks as given in Ch.4 Sec.6 [1.2.4] P s-st l = static tank testing pressure as given in Ch.4 Sec.6 [1.2.5] P fs = static tank pressure in flooded condition as given in Ch.4 Sec.6 [1.2.7] P ld = dynamic tank pressure as given in Ch.4 Sec.6 [1.3] P int = minimum pressure for internal structures in tanks as given in Ch.4 Sec.6 [3.1] P dl = pressure due to distributed deck load as given in Ch.4 Sec.5 [2.3.1] or Ch.4 Sec.6 [2.2.1] F U = force on exposed and non-exposed decks and platforms due to unit loads as given in Ch.4 Sec.5 [2.3.2] P wl-1 = design pressure for wheel loading during normal operation at harbour as given in Ch.10 Sec.5 [2] P wl-2 = design pressure for wheel loading during normal operation at sea as given in Ch.10 Sec.5 [2]. Part 3 Chapter 6 Section 2 2.1.4 Design load sets for primary supporting members Design load sets to be applied for primary supporting members are described in Table 2. The load sets shall in general be based on the net load acting on the PSM of double- and single skin type. In addition, design load sets for specific ship types are given in Pt.5. Design loading conditions in FE analysis are described in Ch.7 Sec.1 in general and for specific ship types are given in Pt.5. Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 10

Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 11 Table 2 Design load sets for primary supporting members Description External shell (empty tanks), excluding decks External shell (tank pressure included) excluding decks Primary supporting members Vertical side web frames/ floors Bottom and side girders/ grillage Vertical side web frames/ floors Bottom and side girders/ grillage Design load set SEA-1 SEA-1h SEA-1h SEA-1s SEA-1s TK-1, WB-1 TK-1h, WB-1h TK-1h, WB-1h TK-1s, WB-1s Local load 10) Load component P ex 1) (Pdl-s + P dl-d ) or (F U-s + F U-d 1)8) ) N/A Hull girder load 2) P ex (Pdl-s + 2) P dl-d ) or (F U-s M wv-h + M sw-h 2)8) + F U-d ) 3) P ex (Pdl-s + 3) P dl-d ) or (F U-s M wv-h + M sw-h 3)8) + F U-d ) 2) P ex (Pdl-s + 2) P dl-d ) or (F U-s M wv-s + M sw-s 2)8) + F U-d ) 3) P ex (Pdl-s + 3) P dl-d ) or (F U-s M wv-s + M sw-s 3)8) + F U-d ) P in P ex 1) 4) 5) (Pdl-s + P dld) or (F U-s + F U-d 1)8) ) P in P ex 2) 4) 5) (Pdl-s + P dl-d ) or (F U-s + F U-d 1)8) ) P in P ex 3)4) 5) (P dl-s + P dl-d ) or (F U-s + F U- d 1)8) ) P in P ex 2) 4) 5) (Pdl-s + P dld) or (F U-s + F U-d 1)8) ) N/A M wv-h + M sw-h 2) M wv-h + M sw-h 3) M wv-s + M sw-s 2) Draught Acceptance criteria T SC T BAL AC-II AC-II Loading condition for definition of GM and k r Full load condition Normal ballast condition Load pattern Part 3 Chapter 6 Section 2

Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 12 Description Primary supporting members Vertical side web frames/ floors Bottom and side girders/ grillage Vertical side web frames/ floors Bottom and side girders/ grillage Design load set TK-1s, WB-1s TK-3, WB-4 TK-3h, WB-4h TK-3h, WB-4h TK-3s, WB-4s TK-3s, WB-4s TK-2, WB-3 TK-2h, WB-3h TK-2h, WB-3h TK-2s, WB-3s TK-2s, WB-3s Local load 10) P in P ex 3) 4) 5) (Pdl-s + P dld) or (F U-s + F U-d 1)8) ) P in P ex 1) 4) 5) Pdl-s,F U- s 1)8) P in P ex 2) 4) 5) Pdl-s,F U- s 2)8) P in P ex 3) 4) 5) Pdl-s,F U- s 3)8) P in P ex 2) 4) 5) Pdl-s,F U- s 2)8) P in P ex 3) 4) 5) Pdl-s,F U- s 3)8) P in P ex 1) 4) 5) P in P ex 2) 4) 5) P in P ex 3) 4) 5) P in P ex 2) 4) 5) P in P ex 3) 4) 5) Load component Hull girder load M wv-s + M sw-s 3) N/A M sw-h M sw-h M sw-s M sw-s N/A M sw-h M sw-h M sw-s M sw-s Draught Acceptance criteria Loading condition for definition of GM and k r T BAL AC-I - T BAL AC-III - Load pattern Part 3 Chapter 6 Section 2

Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 13 Description Superstructure side External decks and platforms, including superstructure (green sea pressure only) Primary supporting members Design load set Local load 10) Vertical side web frames SEA-1 P ex, P SI 1) 9) Longitudinal stringers/grillage SEA-1h P ex, P SI 2) 9) SEA-1h P ex, P SI 3) 9) SEA-1s P ex, P SI 2) 9) SEA-1s P ex, P SI 3) 9) Transverse deck girders SEA-1 P ex, P D 1) Longitudinal deck girders/ grillage SEA-1h P ex, P D 2) SEA-1h P ex, P D 3) SEA-1s P ex, P D 2) SEA-1s P ex, P D 3) Load component Hull girder load N/A M wv-h + M sw-h 2) M wv-h + M sw-h 3) M wv-s + M sw-s 2) M wv-s + M sw-s 3) N/A M wv-h + M sw-h 2) M wv-h + M sw-h 3) M wv-s + M sw-s 2) M wv-s + M sw-s 3) Draught Acceptance criteria Loading condition for definition of GM and k r T SC AC-II - T SC AC-II Full load condition Load pattern Part 3 Chapter 6 Section 2

Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 14 Description Distributed deck load on internal or external decks (adjacent tanks empty) Tank boundaries and/or watertight boundaries (excluding external shell) including exposed decks Primary supporting members Transverse deck girders and pillars Longitudinal deck girders/ grillage including pillars Transverse deck girders and pillars Longitudinal deck girders/ grillage including pillars Decks and transverse bulkheads: stringers/vertical web frames/grillage and transverse deck girders Longitudinal bulkheads: vertical web frames Decks and longitudinal bulkheads: girders/grillage Design load set UDL-1 UDL-1h UDL-1h UDL-1s UDL-1s Local load 10) P dl-s + P dl-d F U-s + F U-d 1) 8) Load component Hull girder load N/A P dl-s + P dl-d F U-s + F U-d 2) 8) M wv-h + M sw-h 2) P dl-s + P dl-d F U-s + F U-d 3) 8) M wv-h + M sw-h 3) P dl-s + P dl-d F U-s + F U-d 2) 8) M wv-s + M sw-s 2) P dl-s + P dl-d F U-s + F U-d 3) 8) M wv-s + M sw-s 3) UDL-2 P dl-s,f U-s 1) 8) UDL-2h P dl-s, F U-s 2)8) UDL-2s P dl-s, F U-s 3)8) TK-1, WB-1 TK-1, WB-1 TK-1h, WB-1h TK-1h, WB-1h TK-1s, WB-1s P in 1) 4) 6) P in 1) 4) 6) P in 2) 4) 6) P in 3) 4) 6) P in 2) 4) 6) N/A M sw-h 2) M sw-s 3) N/A N/A M wv-h + M sw-h 2) M wv-h + M sw-h 3) M wv-s + M sw-s 2) Draught Acceptance criteria T BAL AC-II Loading condition for definition of GM and k r Normal ballast condition T BAL AC-I - T BAL AC-II Normal ballast condition Load pattern Part 3 Chapter 6 Section 2

Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 15 Description Primary supporting members Decks and transverse bulkheads: stringers/vertical web frames/grillage and transverse deck girders Longitudinal bulkheads: vertical web frames Decks and longitudinal bulkheads: girders/grillage Vertical side web frames/ floors Bottom and side girders/ grillage Decks and transverse bulkheads: stringers/vertical web frames/grillage and transverse deck girders Longitudinal bulkheads: vertical web frames Design load set TK-1s, WB-1s TK-3, WB-4 TK-3, WB-4 TK-3h, WB-4h TK-3s, WB-4s TK-2, WB-3 TK-2h, WB-3h TK-2h, WB-3h TK-2s, WB-3s TK-2s, WB-3s Local load 10) P in 3) 4) 6) P in 1) 4) 6) P in 1) 4) 6) P in 4) 6) P in 4) 6) FD-1 P in 1) 7) FD-1 P in 1) 7) Decks and longitudinal FD-1h 7) P in bulkheads: girders/grillage and transverse deck girders FD-1s 7) P in P in P ex 1) 4) 5) P in P ex 2) 4) 5) P in P ex 3) 4) 5) P in P ex 2) 4) 5) P in P ex 3) 4) 5) Load component Hull girder load M wv-s + M sw-s 3) N/A N/A M sw-h M sw-s N/A M sw-h M sw-h M sw-s M sw-s N/A N/A M sw-h M sw-s Draught Acceptance criteria Loading condition for definition of GM and k r T BAL AC-I - T BAL AC-III - T DAM AC-III - Load pattern Part 3 Chapter 6 Section 2

Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 16 Description Primary supporting members 1) The EDW giving the highest pressure to be applied. Design load set Local load 10) Load component Hull girder load Draught Acceptance criteria Loading condition for definition of GM and k r Load pattern 2) The EDW giving the highest pressure with corresponding bending moment to be applied. When envelope accelerations are applied for P dl-d, the maximum hull girder bending moment shall be applied. 3) The EDW giving the highest bending moment with corresponding pressure to be applied. When envelope accelerations are applied for P dl-d, the maximum hull girder bending moment shall be applied. 4) P in shall also cover water ballast and bulk cargo hold loads. 5) P ex shall be considered for external shell only. 6) Pressure from one side only. Full tank with adjacent tank empty. 7) Flooded pressure is not applicable to external shell. Pressure from one side only. Full tank with adjacent tank empty. The boundaries of void and dry spaces not forming part of hull external shell shall be evaluated using design load sets FD-1, FD-1h and FD-1s. 8) Distributed or concentrated loads only. Need not to be combined with simultaneously occurring green sea pressure. 9) P SI is design pressure for external sides of superstructure and deckhouse. 10) Local loads are described in Ch.4 Sec.2 Table 1. Part 3 Chapter 6 Section 2

SECTION 3 MINIMUM THICKNESSES Symbols For symbols not defined in this section, see Ch.1 Sec.4. 1 Plating 1.1 Minimum thickness requirements 1.1.1 The net thickness of plating, in mm, shall comply with the minimum thickness requirement given by: where: a = coefficient as defined in Table 1 b = coefficient as defined in Table 1. Part 3 Chapter 6 Section 3 Table 1 Minimum net thickness for plating Element Location a b Keel 5.0 0.05 Bottom and bilge 4.5 0.035 From upper end of bilge plating to T SC + 4.6 m 0.035 Shell Side shell and superstructure side From T SC + 4.6 m to T SC + 6.9 m 0.025 4.0 From T SC + 6.9 m to T SC + 9.2 m 0.015 Elsewhere 6) 0.01 Sea chest boundaries 4.5 0.05 Weather deck 1),2),3),4), strength deck 2),3) and platform deck in machinery space 0.02 Deck Inner bottom Boundary for cargo tanks, water ballast tanks and hold intended for cargo in bulk 4.5 0.015 Other decks 3),4),5) 0.01 Cargo spaces loaded through cargo hatches except container holds 5.5 0.025 Other spaces 4.5 0.02 Bulkheads for cargo tanks, water ballast tanks and hold intended for cargo in bulk Peak bulkheads and machinery space end bulkheads 4.5 0.015 Bulkheads Watertight bulkheads and other tanks bulkheads 0.01 Non-tight bulkheads in tanks 0.005 5.0 Other non-tight bulkheads 0 Walls in accommodation 4.5 0 Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 17

Element Location a b 1) For weather deck forward of 0.2 L from F.E, b shall not be taken less than 0.01. 2) For two continuous decks arranged above 0.7 D from baseline, b may be reduced by 0.01. 3) For more than two continuous decks arranged above 0.7 D from baseline, b may be taken equal to 0. 4) For the decks not contributing to hull girder longitudinal strength, b may be taken equal to 0. 5) For cargo decks sheltered with wood or an approved composition, a may be taken equal to 4.0. 6) For superstructure side in ships with two or more continuous decks arranged above 0.7 D from baseline, b may be taken equal to 0 from 1.7 C w m above WL at scantling draft. For minimum thicknesses for deckhouses and superstructures see also Sec.8 [3.1]. 2 Stiffeners and tripping brackets 2.1 Minimum thickness requirements 2.1.1 The net thickness of the web and face plate, if any, of stiffeners and tripping brackets in mm, shall comply with the minimum net thickness given in Table 2. In addition, the net thickness of the web of stiffeners and tripping brackets, in mm, shall be: not less than 40% of the net required thickness of the attached plating, to be determined according to Sec.4. Part 3 Chapter 6 Section 3 Table 2 Minimum net thickness for stiffeners and tripping brackets Element Location Net thickness Tank boundary 4.5 + 0.01 L 1 Stiffeners and attached end brackets Structures in deckhouse and superstructure and decks for vessels with more than 2 continuous decks above 0.7 D from baseline 4.0 Other structure 4.5 + 0.005 L 1 Tripping brackets 4.5 + 0.01 L 1 3 Primary supporting members 3.1 Minimum thickness requirements 3.1.1 The net thickness of web plating and flange of primary supporting members in mm, shall comply with the appropriate minimum thickness requirements given by: where: a = coefficient as defined in Table 3 b = coefficient as defined in Table 3. Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 18

Table 3 Minimum net thickness for primary supporting members Element a b Bottom centreline girder and lower strake of centreline wash bulkhead 5.0 0.03 Other bottom girders 5.0 0.017 Floors 5.0 0.015 PSM supporting side shell, ballast tank, cargo tank and hold intended for cargo in bulk 2),3) 4.5 0.015 Other PSM 4.5 0.01 PSM in peak tanks 5.0 0.025 1) 1) The value of bl 2 does not need to be greater than 5.0. 2) For stringers in double side next to dry space not intended for cargo in bulk, the value of bl 2 does not need to be taken greater than 2.5. 3) Other specific requirements related to ship types are given in Pt.5. Part 3 Chapter 6 Section 3 Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 19

SECTION 4 PLATING Symbols For symbols not defined in this section, see Ch.1 Sec.4. α p = correction factor for the panel aspect ratio to be taken as follows but not to be taken greater than 1.0: a = length of plate panel, in mm, as defined in Ch.3 Sec.7 [2.1.1] b = breadth of plate panel, in mm, as defined in Ch.3 Sec.7 [2.1.1] P = design pressure for the considered design load set, see Sec.2 [2], calculated at the load calculation point defined in Ch.3 Sec.7 [2.2], in kn/m 2 σ hg = hull girder longitudinal stress, in N/mm 2, as defined in Sec.2 [1], calculated at the load calculation point as defined in Ch.3 Sec.7 [2.2]. 1 Plating subjected to lateral pressure Part 3 Chapter 6 Section 4 1.1 General 1.1.1 Plating The net thickness, in mm, shall not be taken less than the greatest value for all applicable design load sets, as defined in Sec.2 [2.1.3], given by: where: C a = permissible bending stress coefficient for plate taken equal to: not to be taken greater than C a-max β a = coefficient as defined in Table 1 α a = coefficient as defined in Table 1 C a-max = maximum permissible bending stress coefficient as defined in Table 1. Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 20

Table 1 Plating, definition of β a, α a and C a-max Acceptance criteria Structural member β a α a C a-max AC-I AC-II Longitudinal members Longitudinal stiffened plating 0.90 0.50 0.80 Transverse stiffened plating 0.90 1.00 0.80 Other members 0.80 0.00 0.80 Longitudinal members Longitudinal stiffened plating 1.05 0.50 0.95 Transverse stiffened plating 1.05 1.00 0.95 Other members 0.95 0.00 0.95 Longitudinal bulkhead members including possible bench structures between tanks and dry spaces or dry cargo holds not intended to carry liquid or bulk cargo Longitudinal stiffened plating 1.25 0.5 1.15 Transverse stiffened plating 1.15 1.0 1.15 Part 3 Chapter 6 Section 4 AC-III Other longitudinal members Transverse boundaries of ballast water tanks Longitudinal stiffened plating 1.10 0.50 1.00 Transverse stiffened plating 1.10 1.00 1.00 Transverse boundaries between tanks and dry spaces or dry cargo holds not intended to carry liquid or bulk cargo 1.15 0.00 1.15 1) Only applicable for flooding pressure Other members 1.00 0.00 1.00 Longitudinal watertight Longitudinal stiffened plating 1.25 0.50 1.15 boundaries 1) Transverse stiffened plating 1.15 1.00 1.15 Other watertight boundaries 1) 1.15 0.00 1.15 1.2 Plating of corrugated bulkheads 1.2.1 Cold and hot formed corrugations The net thicknesses, in mm, of the web and flange plates of corrugated bulkheads shall not be taken less than the greatest value calculated for all applicable design load sets, as defined in Sec.2 [2.1.3], given by: where: b p = breadth of plane corrugation plating: b p = a for flange plating, in mm, as defined in Ch.3 Sec.6 Figure 10 b p = c for web plating, in mm, as defined in Ch.3 Sec.6 Figure 10 Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 21

C CB = permissible bending stress coefficient for corrugated bulkhead plating taken equal to: not to be greater than C CB-max β CB = coefficient as defined in Table 2 α CB = coefficient as defined in Table 2 C CB-max = maximum permissible bending stress coefficient as defined in Table 2. Table 2 Corrugations, definition of β CB, α CB and C CB-max Acceptance criteria Structural member β CB α CB C CB-max AC-I AC-II Horizontally corrugated longitudinal bulkheads 0.90 0.50 0.75 Other corrugated bulkheads 0.75 0.00 0.75 Horizontally corrugated longitudinal bulkheads 1.05 0.50 0.90 Other corrugated bulkheads 0.90 0.00 0.90 Part 3 Chapter 6 Section 4 AC-III Horizontally corrugated longitudinal bulkheads 1.10 0.50 0.95 Other corrugated bulkheads 0.95 0.00 0.95 1.2.2 Built-up corrugations For built-up corrugations, with flange and web plate of different thickness, the net thickness, in mm, shall be taken as the greatest value calculated for all applicable design load sets, as defined in Sec.2 [2.1.3], given by: where: t 1 = net thickness of the thicker plating, either flange or web, in mm t 2 = net required thickness of the thinner plating, either flange or web, not to be less than required by [1.2.1], in mm b p = breadth of thicker plate, either flange or web, in mm C CB = permissible bending stress coefficient as defined in [1.2.1]. 1.2.3 Section modulus of corrugations The requirements given in the following apply to corrugations of bulkheads. As an alternative the strength of the corrugations may be verified by direct strength assessment in accordance with Sec.6 [2]. The net section modulus, in cm 3, of corrugated bulkheads subjected to lateral pressure shall not be less than the value obtained from the following formula: Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 22

where: P = design pressure for the design load set as defined in Sec.2 Table 1 and calculated at the load calculation point defined in Ch.3 Sec.7 [3.2] in kn/m 2 s C = half pitch length, in mm, of the corrugation, as defined in Ch.3 Sec.6 Figure 10 l bdg = effective bending span, in m, as defined in Ch.3 Sec.6 [5.1.4] f bdg = bending moment factor given in Sec.6 Table 1. More exact value may be based on direct calculations C s = permissible bending stress coefficient as defined in Table 3 for the design load set being considered, to be taken as: not to be greater than C S-max For corrugation angle between 45 and 55 the reduction in C s as given in Ch.3 Sec.6 [5.1.1] applies. C s-max = coefficient, as defined in Table 3 α s = coefficient, as defined in Table 3 β s = coefficient, as defined in Table 3 σ cx' = ultimate buckling stress, in N/mm 2, of corrugation flange as defined in DNVGL-CG-0128 Sec.3 [2.2.3] applying buckling coefficients given in DNVGL-CG-0128 Sec.3 [3]. Part 3 Chapter 6 Section 4 Table 3 Corrugations, definition of β s, α s and C s-max Acceptance criteria Structural member β s α s C s-max AC-I AC-II AC-III Longitudinal horizontal corrugations 0.85 1.00 0.75 Other corrugations 0.75 0.00 0.75 Longitudinal, horizontal corrugations 1.00 1.00 0.85 Other corrugations 0.85 0.00 0.85 Longitudinal horizontal corrugations 1.00 1.00 0.90 Other corrugations 0.90 0.00 0.90 2 Special requirements 2.1 Bilge plating 2.1.1 Thickness of bilge plating The thickness of plating in bilge area as defined in Ch.1 Sec.4 [3.8] shall be equal or greater than the lesser of [1.1.1] and [2.1.3], and shall also satisfy [2.1.2]. 2.1.2 The net thickness of the bilge plate shall not be less than that of the required adjacent bottom and side plates according to [1.1.1] based on R eh for the bilge plate, whichever is the greater. Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 23

2.1.3 Thickness of curved bilge plating The net thickness of curved bilge plating, in mm, shall not be taken less than: where: P ex R = design sea pressure for the design load set SEA-1 as defined in Sec.2 [2.1.3] calculated at the lower turn of the bilge, in kn/m 2 = effective bilge radius, in mm, taken as: R 0 = radius of curvature, in mm. See Figure 1 Δs 1 = distance between the lower turn of bilge and the outermost bottom longitudinal, in mm, see Figure 1. Where the outermost bottom longitudinal is within the curvature, this distance shall be taken as zero Δs 2 = distance between the upper turn of bilge and the lowest side longitudinal, in mm, see Figure 1. Where the lowest side longitudinal is within the curvature, this distance shall be taken as zero s b = distance between transverse stiffeners, webs or bilge brackets, in mm. Part 3 Chapter 6 Section 4 A bilge keel is not considered as an effective "longitudinal stiffening" member. 2.1.4 Transverse extension of bilge minimum plate thickness Where a plate seam is located in the straight plate just below the lowest stiffener on the side shell, any increased thickness required for the bilge plating does not have to be extended to the adjacent plate above the bilge provided the plate seam is not more than s 2 /4 below the lowest side longitudinal. Similarly, for the flat part of adjacent bottom plating, any increased thickness for the bilge plating does not have to be extended to the adjacent plate provided that the plate seam is not more than s 1 /4 beyond the outboard bottom longitudinal. For definition of s 1 and s 2, see Figure 1. Figure 1 Bilge plating without longitudinal stiffening Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 24

2.2 Side shell plating in aft- and forebody 2.2.1 Strengthening for anchor and chain cable contact The shell plating shall be increased in thickness at the forward end of the bulb and also in areas likely to be subjected to contact with anchors and chain cables during anchor handling. The increased plate thickness shall be the same as that required for plated stems given in Ch.10 Sec.6 [1.1.1]. 2.2.2 Shell plating connected with stern frame The net thickness of shell plating connected with the stern frame shall not be less than that obtained, in mm, from the following formula: In way of the boss and heel plate, the net thickness of shell plating, in mm, shall not be less than: 2.2.3 Heavy shell plates in way of rudder horn Heavy shell plates shall be fitted locally in way of the heavy plate floors in way of the rudder horn. Outboard of the heavy floors, the heavy shell plates may be reduced in thickness. Part 3 Chapter 6 Section 4 Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 25

SECTION 5 STIFFENERS Symbols For symbols not defined in this section, see Ch.1 Sec.4. d shr = effective shear depth, in mm, as defined in Ch.3 Sec.7 [1.4.3] l bdg = effective bending span, in m, as defined in Ch.3 Sec.7 [1.1.2] l shr = effective shear span, in m, as defined in Ch.3 Sec.7 [1.1.3] P = design pressure for the design load set being defined in Sec.2 and calculated at the load calculation point defined in Ch.3 Sec.7 [3.2], in kn/m 2 σ hg = hull girder longitudinal stress, in N/mm 2, as defined in Sec.2 [1], calculated at the load calculation point as defined in Ch.3 Sec.7 [3.2]. 1 Stiffeners subject to lateral pressure 1.1 General Part 3 Chapter 6 Section 5 1.1.1 Web plating The minimum net web thickness, in mm, shall not be taken less than the greatest value calculated for all applicable design load sets as defined in Sec.2 [2], given by: where: f shr = shear force distribution factor as defined in Table 1. For stiffeners with end fixity deviating from the ones included in Table 1, with complex load pattern, or being part of a grillage, the requirements given in [1.2] apply. Table 1 Definition of f shr Coefficient Horizontal stiffeners For continuous stiffeners with fixed end Upper end of vertical stiffeners Lower end of vertical stiffeners For non-continuous stiffeners with simply supported ends All stiffeners f shr 0.5 0.4 0.7 0.5 C t = permissible shear stress coefficient for the acceptance criteria being considered, as defined in Table 2. Table 2 Stiffeners, definition of C t Acceptance criteria Structural member C t AC-I All stiffeners 0.75 AC-II All stiffeners 0.90 AC-III All stiffeners 0.95 Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 26

1.1.2 Section modulus The minimum net section modulus, in cm 3, shall not be taken less than the greatest value calculated for all applicable design load sets as defined in Sec.2 [2.1.3], given by: where: f bdg = bending moment factor as defined in Table 5. For stiffeners with end fixity deviating from the ones included in Table 5, with complex load pattern, or being part of a grillage, the requirement given in [1.2] applies f m = bending moment ratio between end support and midspan as defined in Table 5 f u = factor for unsymmetrical profiles, to be taken as: = 1.00 for flat bars and symmetrical profiles (T-profiles) C s = 1.03 for bulb profiles = 1.15 for unsymmetrical profiles (L-profiles) = permissible bending stress coefficient as defined in Table 3 for the acceptance criteria given in Table 4 C s-max = coefficient, as defined in Table 4 α s = coefficient, as defined in Table 4 β s = coefficient, as defined in Table 4. Part 3 Chapter 6 Section 5 Table 3 Stiffeners, definition of C s Structural member Sign of hull girder stress, σ hg Lateral pressure acting on Coefficient C s Tension (positive) Stiffener side Compression (negative) Plate side For continuous stiffeners Tension (positive) Plate side but not to be taken greater than C s-max Compression (negative) Stiffener side but not to be taken greater than C s-max Tension (positive) Plate side For noncontinuous stiffeners Compression (negative) Tension (positive) Compression (negative) Stiffener side Stiffener side Plate side but not to be taken greater than C s-max C s = C s-max Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 27

Table 4 Stiffeners, definition of β s, α s and C s-max Acceptance criteria AC-I AC-II AC-III Structural member β s α s C s-max Longitudinal members 0.95 1.00 0.85 Other members 0.85 0.00 0.85 Longitudinal members 1.10 1.00 0.95 Other members 0.95 0.00 0.95 Longitudinal members Other members In general 1.20 1.00 1.00 On watertight 1.20 1.00 1.15 boundaries 1) In general 1.00 0.00 1.00 On watertight 1.15 0.00 1.15 boundaries 1) Part 3 Chapter 6 Section 5 1) Only applicable for flooding pressure Table 5 Stiffeners, definition of f bdg and f m Coefficient Acceptance criteria For continuous stiffeners with fixed ends For continuous stiffeners with one fixed end and one simply supported end For non-continuous stiffeners with simply supported ends Horizontal stiffeners and upper end of vertical stiffeners Lower end of vertical stiffeners Horizontal and vertical stiffeners Horizontal and vertical stiffeners f bdg AC-I, AC-II, AC-III 12.00 10.00 8.00 8.00 AC-I 2.00 2.33 1.77 f m AC-II, AC-III 1.60 1.86 1.42-1.1.3 Grouping of stiffeners Scantlings of stiffeners based on requirements given in [1.1.1] and [1.1.2] may be decided based on the concept of grouping designated sequentially placed stiffeners of equal scantlings on a single stiffened panel. The scantling of the group shall be taken as the greater of the following: the average of the required scantling of all stiffeners within a group 90% of the maximum scantling required for any one stiffener within the group. 1.1.4 Plate and stiffener of different materials When the minimum specified yield stress of a stiffener exceeds the minimum specified yield stress of the attached plate by more than 35%, the following criterion shall be satisfied: Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 28

where: R eh-s = minimum specified yield stress of the material of the stiffener, in N/mm 2 R eh-p = minimum specified yield stress of the material of the attached plate, in N/mm 2 σ hg = hull girder longitudinal stress, in N/mm 2, as defined in Sec.2 [1.1] with σ hg not to be taken less than 0.4 R eh-p Z = net section modulus, in way of face plate/free edge of the stiffener, in cm 3 Z P = net section modulus, in way of the attached plate of stiffener, in cm 3 α s, β s = coefficients defined in Table 4. 1.1.5 Struts connecting stiffeners Struts fitted between stiffeners in a double skin structure shall in general not be considered as effective supports for the stiffeners. The requirements given in [1.1.1] and [1.1.2], however, may be based on reduced bending and shear span as given in Ch.3 Sec.7 [1.1.4]. The net sectional area, in cm 2, and the net moment of inertia about the weaker axis, in cm 4, of struts connecting stiffeners shall not be less than the values obtained from the following formulae: Part 3 Chapter 6 Section 5 where: P SR = pressure to be taken as the greater of the following values, in kn/m 2 : P SR = 0.5 (P SR1 + P SR2 ) P SR = P SR3 P SR1 = pressure in way of the strut, in kn/m 2, acting on one side, outside the compartment in which the strut is located P SR2 = pressure in way of the strut, in kn/m 2, acting on the opposite side, outside the compartment in which the strut is located P SR3 = internal pressure at mid-span of the strut, in kn/m 2, in the compartment in which the strut is located l SR = length of the strut, in m A ASR = actual net sectional area of the strut, in cm 2. 1.2 Beam analysis 1.2.1 Application The maximum bending stress, σ b, and shear stress, τ, in a stiffener using net properties with reduced end fixity, variable load or being part of grillage shall be determined by direct calculations taking into account: the distribution of static and dynamic pressures and forces, if any the number and position of intermediate supports, e.g. decks, girders, etc the condition of fixity at the ends of the stiffener and at intermediate supports Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 29

the geometrical characteristics of the stiffener on the intermediate spans the effective breadth, b eff, for yield check as given in Ch.3 Sec.7 [1.3]. 1.2.2 Stress criteria The calculated stress, in N/mm 2, shall comply with the following criteria: τ C t τ eh σ b C s R eh where: C t = permissible shear stress coefficient for the design load set being considered, as defined in Table 2 C s = permissible bending stress coefficient as defined in Table 3 for the design load set being considered τ Q A shr σ b = average shear stress in member, in N/mm 2, at the considered position, taken as: = shear force, in kn, at the considered position = net shear area, in cm 2, at the considered position = bending stress, in N/mm 2, at the considered position, taken as: Part 3 Chapter 6 Section 5 f u = factor for unsymmetrical profiles to be taken as given in [1.1.2] M = bending moment, in knm, at the considered position Z = net section modulus, in cm 3, based on effective breadth according to Ch.3 Sec.7 [1.3] at the considered position. Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 30

SECTION 6 PRIMARY SUPPORTING MEMBERS AND PILLARS Symbols For symbols not defined in this section, see Ch.1 Sec.4. P = design pressure for the design load set being considered as defined in Sec.2 and calculated at the load calculation point as defined in Ch.3 Sec.7 [4.1], in kn/m 2 b' eff = effective breadth of attached plating based on plate slenderness, as defined in Ch.3 Sec.7 [1.3.3], in m b eff = effective breadth of attached plating, as defined in Ch.3 Sec.7 [1.3.2], in m σ hg = hull girder longitudinal stress, in N/mm 2, as defined in Sec.2 [1], calculated at the load calculation point as defined in Ch.3 Sec.6 [4.1] l bdg = effective bending span, as defined in Ch.3 Sec.7 [1.1.6], in m l shr = effective shear span, as defined in Ch.3 Sec.7 [1.1.7], in m. 1 General Part 3 Chapter 6 Section 6 1.1 Application 1.1.1 The requirements for this section apply to PSM (primary supporting members) subjected to lateral pressure and concentrated loads and pillars subjected to axial loads. The yielding and where relevant buckling check shall be carried out for such members subjected to specific loads. 1.1.2 The requirements for this article apply unless verification by means of FE analysis has been carried out. The section modulus requirement given in [2.1.1] is not applicable for double skin primary supporting members and to longitudinal primary supporting members with hull girder longitudinal stresses exceeding 0.15 R eh. Such members shall be assessed in accordance with [2.2] or by FE analysis. 2 Primary supporting members 2.1 Scantling requirements 2.1.1 Net section modulus The net section modulus, in cm 3, of primary supporting members subjected to lateral pressure shall not be taken less than the greatest value for all applicable design load sets defined in Sec.2 [2], given by: where: f bdg = bending moment distribution factor, as given in Table 1 C s = permissible stress coefficient to be taken as: C s = 0.70 for AC-I C s = 0.85 for AC-II and AC-III. Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 31

The net section modulus shall be based on the effective breadth of attached plating, b eff, as defined in Ch.3 Sec.7 [1.3.2]. 2.1.2 Net shear area The net shear area, in cm 2, of primary supporting members subjected to lateral pressure shall not be taken less than the greatest value for all applicable design load sets defined in Sec.2 [2], given by: where: f shr = shear force distribution factor, as given in Table 1 C t = permissible shear stress coefficient to be taken as: C t = 0.70 for AC-I C t = 0.85 for AC-II and AC-III. Table 1 Definition of bending moment and shear force factors, f bdg and f shr Part 3 Chapter 6 Section 6 Load and boundary condition Bending moment and shear force distribution factors (based on load at mid span, where load varies) Position 1 2 3 Load model 1 Support 2 Field 3 Support f bdg1 f shr1 f bdg2 - f bdg3 f shr3 A 12.0 0.50 24.0-12.0 0.50 B - 0.38 14.2-8.0 0.63 C - 0.50 8.0 - - 0.50 Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 32

Load model D E Load and boundary condition 1 Support Bending moment and shear force distribution factors (based on load at mid span, where load varies) Position 1 2 3 2 Field 3 Support f bdg1 f shr1 15.0 0.30-0.20 f bdg2-23.3-16.8 - f bdg3 f shr3 10.0 0.70 7.5 0.80 Part 3 Chapter 6 Section 6 F - - - - 2.0 1.0 Note 1: The bending moment distribution factor, f bdg for the support positions is applicable for a distance of 0.2l bdg from the end of the effective bending span of the primary supporting member. Note 2: The shear force distribution factor, f shr for the support positions is applicable for a distance of 0.2 l shr from the end of the effective shear span of the primary supporting member. Note 3: Application of f bdg and f shr : The section modulus requirement within 0.2l bdg from the end of the effective span shall be determined using the applicable f bdg1 and f bdg3, however the f bdg shall not be taken greater than 12 The section modulus of mid-span area shall be determined using f bdg = 24, or f bdg2 from the table if lesser. The shear area requirement for end connections within 0.2l shr from the end of the effective span shall be determined using f shr = 0.5 or the applicable f shr1 or f shr3, whichever is greater. For models A through F, the value of f shr may be gradually reduced outside of 0.2l shr towards 0.5 f shr at mid-span, where f shr is the greater value of f shr1 and f shr3. 2.1.3 Maximum flange area of primary supporting member The effective flange area of primary supporting member shall satisfy the following: where: R eh,p = minimum specified yield stress of the material of the plate, in N/mm 2 Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 33

R eh,f = minimum specified yield stress of the material of the flange, in N/mm 2. 2.2 Direct strength - beam analysis 2.2.1 Application Where complex grillage structures are employed or cross ties are fitted in side shell primary supporting members, the scantlings shall be determined by direct calculation taking into account: the distribution of still water and wave pressure and forces, if any the number and position of intermediate supports, e.g. decks, girders, etc. the condition of fixity at the ends of the primary supporting members and at intermediate supports the geometrical characteristics of the primary supporting members on the intermediate spans the effective breadth, b eff, for yield check as given in Ch.3 Sec.7 [1.3.2] for members where large in-plane stresses are included in the attached plating the effective breadth, b' eff, shall be applied for a yield and an implicit uni-axial buckling check, see Ch.3 Sec.7 [1.3.3]. Modelling methods and techniques for beam analysis are given in DNVGL-CG-0127 Sec.5. 2.2.2 Acceptance criteria for beam analysis The calculated stresses, in N/mm 2, shall comply with the following criteria: Part 3 Chapter 6 Section 6 σ C s1 R eh σ b C s2 R eh τ C t τ eh where: τ = average shear stress in member, in N/mm 2, at the considered position, taken as: Q A shr-n50 σ σ b = shear force, in kn, at the considered position = net shear area, in cm 2, at the considered position = combined stress of normal stress including hull girder longitudinal stress, σ hg, and bending stress in member, in N/mm 2, at the considered position = bending stress, in N/mm 2, at the considered position, taken as: M Z n50 = bending moment, in knm, at the considered position = net section modulus for flange and attached plating, in cm 3, based on effective breadth according to Ch.3 Sec.7 [1.3.2] and Ch.3 Sec.7 [1.3.3] at the considered position. Table 2 Beam analysis of primary supporting members, definition of C s1, C s2 and C t Acceptance criteria Structural member C s1 C s2 C t AC-I 0.85 0.70 0.70 All primary supporting members AC-II, AC-III 0.95 0.85 0.85 Rules for classification: Ships DNVGL-RU-SHIP Pt.3 Ch.6. Edition January 2017 Page 34