Section 4 Structural design factors
Clasification Society 2024 - Version 9.40
Clasifications Register Rules and Regulations - Rules and Regulations for the Classification of Naval Ships, January 2023 - Volume 1 Ship Structures - Part 7 Enhanced Structural Assessment (Provisional) - Chapter 3 Total Load Assessment, TLA - Section 4 Structural design factors

Section 4 Structural design factors

4.1 General

4.1.1 This Section gives the allowable design criteria to be used to assess the structure for maximum and minimum stresses and other values derived in accordance with the TLA method.

4.1.2 The allowable design criteria are also to be used when direct calculation or similar methods are used as an alternative to the TLA stress analysis model in Vol 1, Pt 7, Ch 3, 3 Stress analysis model.

4.1.3 The allowable design criteria are applicable for all ships including NS1 ships.

4.2 Design criteria for the Total Load Assessment (TLA) approach

4.2.1 The stresses in the plating and stiffeners that have been derived using the TLA method are to be less than the allowable stresses and other design criteria given in this Section. For all areas of the structure, the modes of failures specified in Table 3.4.1 Design criteria for plating to Table 3.4.4 Design criteria for primary members are to be satisfied. See also Vol 1, Pt 7, Ch 3, 4.3 Presentation of results for presentation of results.

4.2.2 In order to satisfy the requirements, the ratio of the actual stress to the allowable stress or load utilisation factor is to be less than 1,0, similarly for the deflection and buckling utilisation factors. Hence

  σ/σa <1,0
  λ/λa <1,0
  δ/δa<1,0

where

σ = is the actual stress value
λ = is the actual buckling factor of safety achieved
δ = is the actual deflection

4.2.3 The allowable stresses are to be derived using the following formulae:

  • Direct or bending allowable stress
    σa = f 1 f hts σo N/mm2
  • Shear allowable stress
    τa = f 1 f hts τo N/mm2

where

f 1 is taken from Table 5.3.2 Allowable stress factors f 1 in Pt 6, Ch 5, as specified below:

f hts = correction factor for high tensile steel, see Vol 1, Pt 6, Ch 5, 1.3 Higher tensile steel
σ o = is the minimum yield stress
τ o = is the minimum shear yield stress.

4.2.4 The buckling design safety factors are given in Table 5.3.2 Allowable stress factors f 1 in Pt 6, Ch 5.3 and are to be used in conjunction with the buckling requirements specified in Vol 1, Pt 6, Ch 2, 3 Buckling. The required values of safety factors λ σ and λ τ are as specified by f 1 in Vol 1, Pt 7, Ch 3, 4.2 Design criteria for the Total Load Assessment (TLA) approach 4.2.3.

  1. λa = f 1

where

4.2.5 The limiting deflection requirements for stiffening members specified in Table 3.4.1 Design criteria for plating to Table 3.4.4 Design criteria for primary members are to be satisfied. The allowable deflection criteria are expressed as a deflection/span ratio and the actual deflection is to be less than the allowable deflection, δa, where δa is as follows:

  δa = f 1 e mm

where

f 1 is taken from Table 5.3.2 Allowable stress factors f 1 in Pt 6, Ch 5 as specified in Vol 1, Pt 7, Ch 3, 4.2 Design criteria for the Total Load Assessment (TLA) approach 4.2.3

e = effective span length, in metres.

4.2.6 The assessment of scantling requirements to satisfy the impact or slamming pressure loads for plating and stiffening is given in Vol 1, Pt 6, Ch 3, 14 Strengthening for bottom slamming and Vol 1, Pt 6, Ch 3, 15 Strengthening for wave impact loads above waterline.

Table 3.4.1 Design criteria for plating

Stress
N/mm2
Description Design criteria Factor f 1
See column in
Table 5.3.2 Allowable stress factors f 1 in Pt 6, Ch 5
Stress criteria
σb Bending stress in plate due to lateral pressure, see Vol 1, Pt 7, Ch 3, 2.2 Stresses in plating 2.2.2  Local stress requirements σb
σx Longitudinal membrane stress in plate including the stresses due to stiffener bending, see Vol 1, Pt 7, Ch 3, 3.3 Stress determination in primary/secondary systems or Vol 1, Pt 7, Ch 3, 3.4 Stress determination in grillage systems Hull girder bending requirements σx
σy Transverse (or vertical) membrane stress in plate, see Vol 1, Pt 7, Ch 3, 3 Stress analysis model None None
τxy Shear stress due to global and local loads, see Vol 1, Pt 7, Ch 3, 3 Stress analysis model Hull girder shear requirements τxy
σvm Combined total equivalent stress in plate, see Vol 1, Pt 7, Ch 3, 3.12 Derivation of total equivalent stress Yield stress criterion σvm
  Buckling criteria
σxg, σyg, or σxv Compressive membrane stress, see Vol 1, Pt 7, Ch 3, 3.3 Stress determination in primary/secondary systems or Vol 1, Pt 7, Ch 3, 3.4 Stress determination in grillage systems Uni-axial buckling, see Vol 1, Pt 6, Ch 2, 3.3 Plate panel buckling requirements λσ
τxy Shear stress, see Vol 1, Pt 7, Ch 3, 3 Stress analysis model Shear buckling, see Vol 1, Pt 6, Ch 2, 3.3 Plate panel buckling requirements λτ
σx, σy, τxy Bi-axial and shear stress field, see Vol 1, Pt 7, Ch 3, 3 Stress analysis model Bi-axial and shear buckling , see Vol 1, Pt 6, Ch 2, 3.3 Plate panel buckling requirements λσ and λτ

Table 3.4.2 Design criteria for stiffeners

Stress
N/mm2
Description Design criteria Factor f 1
See column in
Table 5.3.2 Allowable stress factors f 1 in Pt 6, Ch 5
  Stress criteria
σsx,t Maximum tensile (+ve) bending stress in flange of stiffener, see Vol 1, Pt 7, Ch 3, 3.11 Derivation of total stresses in stiffener flanges Elastic stress criteria - local loads only σx
hull girder and local loads σvm
σsx,c Maximum compressive (-ve) bending stress in flange of stiffener, see Vol 1, Pt 7, Ch 3, 3.11 Derivation of total stresses in stiffener flanges Elastic stress criteria - local loads only σx
hull girder and local loads σvm
  Buckling criteria
σax Overall axial stress, see Vol 1, Pt 7, Ch 3, 2.3 Stresses in secondary and primary member stiffeners 2.3.6 Buckling control column, flange, web, torsional, tripping modes of buckling, see Vol 1, Pt 6, Ch 2, 3.7 Secondary stiffening in direction of compression λσ
σsx,c Maximum compressive (-ve) bending stress in flange of stiffener, see Vol 1, Pt 7, Ch 3, 3.11 Derivation of total stresses in stiffener flanges Buckling of flange, see Vol 1, Pt 6, Ch 2, 3.7 Secondary stiffening in direction of compression λσ
  Other criteria      
τs Shear stress in web, see Tables Table 3.3.2 Stress determination in longitudinal plating of primary/secondary systems, e.g., decks and longitudinal bulkheads, Table 3.3.3 Stress determination in transverse plating of primary/secondary systems, e.g., transverse bulkheads, Table 3.3.4 Stress determination in longitudinal plating of grillage systems, e.g., decks and longitudinal bulkheads and Table 3.3.5 Stress determination in transverse plating of grillage systems, e.g., transverse bulkheads. Shear stress criteria for web area τxy
δs Deflection of stiffener due to lateral bending, see Table 3.3.2 Stress determination in longitudinal plating of primary/secondary systems, e.g., decks and longitudinal bulkheads, Table 3.3.3 Stress determination in transverse plating of primary/secondary systems, e.g., transverse bulkheads, Table 3.3.4 Stress determination in longitudinal plating of grillage systems, e.g., decks and longitudinal bulkheads, Table 3.3.5 Stress determination in transverse plating of grillage systems, e.g., transverse bulkheads. Inertia/deflection criteria f δ

Table 3.4.3 Design criteria for stiffened panels

Stress
N/mm2
Description Design criteria Factor f 1
See column in
Table 5.3.2 Allowable stress factors f 1 in Pt 6, Ch 5
  Buckling criteria
σxg, σyg, or σxv Membrane stress Overall panel buckling, see Vol 1, Pt 6, Ch 2, 3.8 Secondary stiffening perpendicular to direction of compression λσ
τxy Shear stress Shear buckling of stiffened panels,
see Vol 1, Pt 6, Ch 2, 3.6 Shear buckling of stiffened panels
λτ
  Other criteria    
δs Deflection of panel due to lateral bending, see Vol 1, Pt 7, Ch 3, 2.3 Stresses in secondary and primary member stiffeners 2.3.4 Inertia/deflection criteria f δ

Table 3.4.4 Design criteria for primary members

Stress
N/mm2
Description Design criteria Factor f 1
See column in
Table 5.3.2 Allowable stress factors f 1 in Pt 6, Ch 5
  Stress criteria
  Web plating of primary member, see Vol 1, Pt 7, Ch 3, 3.3 Stress determination in primary/secondary systems or Vol 1, Pt 7, Ch 3, 3.4 Stress determination in grillage systems  
σb Bending stress due to lateral pressure Local stress requirements σb
σx Longitudinal membrane stress including the stresses due to secondary stiffener bending Hull girder bending requirements σx
σy Transverse (or vertical) membrane stress including the stresses due to secondary stiffener bending Local stress requirements σy
τxy Shear stress due to global and local loads Shear stress requirements τxy
σvm Combined total equivalent stress Yield stress criterion σvm
  Flanges of primary member, see Vol 1, Pt 7, Ch 3, 3.2 Stress determination in primary members
σx Maximum tensile (+ve) bending stress in plate or flange Elastic stress criteria σvm
σx Maximum compressive (-ve) bending stress in plate or flange Elastic stress criteria σvm
σvm Combined total equivalent stress Yield stress criterion σvm
  Buckling criteria of primary member    
σhg, σyg or σxv Compressive stress at neutral axis, excluding the stresses due to secondary stiffener bending Buckling of primary girders, see Vol 1, Pt 6, Ch 2, 3.9 Buckling of primary members λσ
τxy Shear stress in web plating due to global and local loads Shear buckling of girder webs, see Vol 1, Pt 6, Ch 2, 3.10 Shear buckling of girder webs λτ
σx, σy, τxy Bi-axial and shear stress field in web plating Bi-axial and shear buckling, see Vol 1, Pt 6, Ch 2, 3.3 Plate panel buckling requirements λσ and λτ
σx Maximum compressive (-ve) bending stress in plate or flange Buckling of plate flange, see Vol 1, Pt 6, Ch 2, 3.3 Plate panel buckling requirements or buckling of flange, see Vol 1, Pt 6, Ch 2, 3.7 Secondary stiffening in direction of compression λσ
  Other criteria    
τxy Shear stress of girder web Shear stress criteria for web area τxy
δs Deflection of girder due to lateral bending, see Vol 1, Pt 7, Ch 3, 2.3 Stresses in secondary and primary member stiffeners 2.3.4 Inertia/deflection criteria f δ

4.3 Presentation of results

4.3.1 It is recommended that the capability of the structure is represented by one of the following methods:

  1. Load utilisation factor, LUF, derived as follows:

    e.g. the stress LUF =

  2. Adequacy parameter, AP, defined as follows:

    where

    LUF is given above.

4.3.2  Table 3.4.5 Adequacy parameter (AP) shows a comparison of the adequacy parameter with the load utilisation factor.

Table 3.4.5 Adequacy parameter (AP)

LUF AP
0,0 1,00
0,5 0,33
0,8 0,111
1,0 0,00
1,2 –0,091
1,5 –0,20
2,0 –0,33

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