Section 10 Hull strengthening requirements for navigation in multi-year ice conditions – Ice Classes PC1, PC2, PC3, PC4, PC5, PC6, PC7 and Icebreaker
Clasification Society 2024 - Version 9.40
Clasifications Register Rules and Regulations - Rules and Regulations for the Classification of Ships, July 2022 - Part 8 Rules for Ice and Cold Operations - Chapter 2 Ice Operations - Ice Class - Section 10 Hull strengthening requirements for navigation in multi-year ice conditions – Ice Classes PC1, PC2, PC3, PC4, PC5, PC6, PC7 and Icebreaker

Section 10 Hull strengthening requirements for navigation in multi-year ice conditions – Ice Classes PC1, PC2, PC3, PC4, PC5, PC6, PC7 and Icebreaker

10.1 Definitions

10.1.1 The length LUI is the distance, in m, measured horizontally from the fore side of the stem at the intersection with the upper ice waterline (UIWL) to the after side of the rudder post, or the centre of the rudder stock if there is no rudder post. LUI is not to be less than 96 per cent, and need not be greater than 97 per cent, of the extreme length of the upper ice waterline (UIWL) measured horizontally from the fore side of the stem. In ships with unusual stern and bow arrangement the length LUI will be specially considered.

10.1.2 The ship displacement ΔUI is the displacement, in kilo tonnes, of the ship corresponding to the upper ice waterline (UIWL). Where multiple waterlines are used for determining the UIWL, the displacement is to be determined from the waterline corresponding to the greatest displacement.

10.2 Hull areas

10.2.1 The hull of all polar class ships is divided into areas reflecting the magnitude of the loads that are expected to act upon them, see Figure 2.10.1 Extent of hull areas. In the longitudinal direction, there are four regions:

  1. bow, (B);

  2. bow intermediate, (B i);

  3. midbody, (M), and

  4. stern (S).

The bow intermediate, midbody and stern regions are further divided in the vertical direction into three regions:

  1. bottom, (b)

  2. lower, (l) and

  3. icebelt (i).

10.2.2 The upper ice waterline, UIWL, and lower ice waterline, LIWL, are as defined in Pt 8, Ch 2, 2.2 Definitions.

10.2.3 In addition to Figure 2.10.1 Extent of hull areas, at no time is the boundary between the bow and bow intermediate regions to be forward of the intersection point of the line of the stem and the ship baseline.

10.2.4 In addition to Figure 2.10.1 Extent of hull areas, the aft boundary of the bow region need not be more than 0,45LUI aft of the fore side of the stem at the intersection with the upper ice waterline (UIWL)

10.2.5 The forward boundary of the stern region is to be at least a distance Z from the aft end of LUI, where Z is 0,7b or 0,15L UI whichever is greater. b is the distance from the aft end of LUI to the maximum half breadth at the UIWL and LUI is defined in Pt 8, Ch 2, 10.1 Definitions.

10.2.6 The boundary between the bottom and lower regions is to be taken at the point where the tangent to the shell is inclined 7° from horizontal.

10.2.7 If a ship is intended to operate astern in ice regions, the aft section of the ship is to be designed based on the bow and bow intermediate hull area requirements. See the Rules for the Classification of Stern First Ice Class Ships, July 2022.

10.2.8 In addition to Figure 2.10.1 Extent of hull areas if the ship is assigned the additional notation Icebreaker the forward boundary of the stern region is to be at least 0,04L forward of the section where the parallel ship side at the upper ice waterline (UIWL) ends.

Figure 2.10.1 Extent of hull areas

10.3 Design ice loads – General

10.3.1 For ships of all Polar Classes, a glancing impact on the bow is the design scenario for determining the scantlings required to resist ice loads.

10.3.2 The design ice load is characterised by an average pressure, P a, uniformly distributed over a rectangular load patch of height, b, and width, w.

10.3.3 Within the bow area of all polar classes, and within the bow intermediate icebelt area of polar classes PC6 and PC7, the ice load parameters are functions of the actual bow shape. To determine the ice load parameters, Pa , b and w, it is required to calculate the following ice load characteristics for sub-regions of the bow area; shape coefficient, f ai, total glancing impact force, F i, line load, Q i, and pressure, P i.

10.3.4 For polar classes PC6 and PC7 the ice load parameters, Pa, b and w, determined as a function of the bow shape in bow region, B, are also to be applied to bow intermediate icebelt region, BIi.

10.3.5 In other ice-strengthened areas, the ice load parameters, Pa , b NB and w NB, are determined independently of the hull shape and based on a fixed load patch aspect ratio, AR = 3.6.

10.3.6 Design ice forces calculated according to Pt 8, Ch 2, 10.5 Bow area 10.5.3 are applicable for icebreaking bow forms where the buttock angle γ at the stem is positive and less than 80°, and the normal frame angle β' at the centre of the foremost sub-region, as defined in Figure 2.10.2 Definition of hull angles, is greater than 10°.

10.3.7 Design ice forces calculated according to Pt 8, Ch 2, 10.5 Bow area 10.5.4 are applicable for ships of polar classes PC6 and PC7 and have a bow form with vertical sides. This includes bows where the normal frame angle β' at the considered sub-regions, as defined in Figure 2.10.2 Definition of hull angles are between 0 and 10°.

10.3.8 For ships of polar classes PC6 and PC7 with bulbous bows the design ice forces on the bow are to be determined according to Pt 8, Ch 2, 10.5 Bow area 10.5.4. In addition, the design forces are not to be taken less than those given in Pt 8, Ch 2, 10.5 Bow area 10.5.3, assuming fa = 0,6 and AR = 1,3.

10.3.9 For ships with bow forms other than those defined in Pt 8, Ch 2, 10.3 Design ice loads – General 10.3.6 to Pt 8, Ch 2, 10.3 Design ice loads – General 10.3.8, design ice forces for any other bow forms are to be specially considered.

10.3.10 Ship structures that are not directly subjected to ice loads may still experience inertial loads of stowed cargo and equipment resulting from ship/ice interaction. These inertial loads are to be considered in the design of these structures.

10.4 Glancing impact load characteristics

10.4.1 The parameters defining the glancing impact load characteristics are reflected in the class factors listed in Table 2.10.1 Class factors for icebreaking bow forms and Table 2.10.2 Class factors for vertical side bow forms.

Table 2.10.1 Class factors for icebreaking bow forms

Polar Class Crushing failure class factor Flexural failure class factor Load patch dimensions class factor Displacement class factor Longitudinal strength class factor
C C C F C D C DI C L
PC1 17,69 68,60 2,01 250 7,46
PC2 9,89 46,80 1,75 210 5,46
PC3 6,06 21,17 1,53 180 4,17
PC4 4,50 13,48 1,42 130 3,15
PC5 3,10 9,00 1,31 70 2,50
PC6 2,40 5,49 1,17 40 2,37
PC7 1,80 4,06 1,11 22 1,81

Table 2.10.2 Class factors for vertical side bow forms

Polar Class Crushing failure class factor Line load class factor Pressure class factor
CCV CQV CPV
PC6 3,43 2,82 0,65
PC7 2,60 2,33 0,65

10.5 Bow area

10.5.1 In the bow area, the force, F, line load, Q, pressure, P, and load patch aspect ratio, AR, associated with the glancing impact load scenario are functions of the hull angles measured at the upper ice waterline, UIWL. The influence of the hull angles is captured through calculation of a bow shape coefficient, fa. The hull angles are defined in Figure 2.10.2 Definition of hull angles.

where
β' = normal frame angle at upper ice waterline, in degrees
α = normal frame angle at upper ice waterline, in degrees
γ = buttock angle at upper ice waterline (angle of buttock line measured from horizontal), in degrees
tan(β) =
tan(β') = tan (β) cos(α)
C =

waterline length of the bow region

Figure 2.10.2 Definition of hull angles

10.5.2 The waterline length of the bow region, C, is generally to be divided along the UIWL into four sub-regions of equal length. The force, F, line load, Q, pressure, P, and load patch aspect ratio, AR, are to be calculated with respect to the mid - length position of each sub-region (each maximum of F, Q and P is to be used in the calculation of the ice load parameters Pa , b and w).

10.5.3 The bow area load characteristics for icebreaking bow forms, as defined in Pt 8, Ch 2, 10.3 Design ice loads – General 10.3.6, are determined as follows:

  1. The shape coefficient, fai , is to be taken as:

    fai = fa i,1
    • fa i,2
    • fa i,3 whichever is the lesser

    where

    fa i,1 =
    fa i,2 =
    fa i,3 = 0,60
    i = sub-region considered
    LUI = length, as defined in Pt 8, Ch 2, 10.1 Definitions.
    x = distance from the fore side of the stem at the intersection with the upper ice waterline (UIWL) station under consideration, in metres
    αi = waterline angle, in degrees, see Figure 2.10.2 Definition of hull angles
    β'i = normal frame angle, in degrees, see Figure 2.10.2 Definition of hull angles
    ΔUI = displacement, in kilo tonnes, not to be taken less than 5 as defined in Pt 8, Ch 2, 10.1 Definitions 10.1.2, in kilo tonnes, not to be taken less than 5
    C C = crushing failure class factor from Table 2.10.1 Class factors for icebreaking bow forms
    C F = flexural failure class factor from Table 2.10.1 Class factors for icebreaking bow forms
  2. Force, Fi :

    where

    i = sub-region considered
    fai = shape coefficient of sub-region, i
    C C = crushing failure class factor from Table 2.10.1 Class factors for icebreaking bow forms
    ΔUI = displacement as defined in Pt 8, Ch 2, 10.1 Definitions 10.1.2, in kilo tonnes, not to be taken less than 5
  3. Load patch aspect ratio, ARi :

    ARi = 7,46 sin ( β'i)
    • AR i ≥ 1,3

    where

    i = sub-region considered
    β'i = normal frame angle of sub-region i, in degrees
  4. Line load, Q i:

    Q i = MN/m

    where

    i = sub-region considered
    F i = force of sub-region i, in MN
    CD = load patch dimensions class factor from Table 2.10.1 Class factors for icebreaking bow forms
    AR i = load patch aspect ratio of sub-region i
  5. Pressure, P i:

    P i = F i 0,22 C D 2 AR i 0,3 MPa
    where
    i = sub-region considered
    F i = force of sub-region i, in MN
    C D = load patch dimensions class factor from Table 2.10.1 Class factors for icebreaking bow forms
    AR i = load patch aspect ratio of sub-region i.
10.5.4 The bow area load characteristics for bow forms with vertical sides, as defined in Pt 8, Ch 2, 10.3 Design ice loads – General 10.3.7, are determined as follows:
  1. The shape coefficient, fai, is to be taken as:
    where
    i = sub-region considered
    α = waterline angle, in degrees, see Figure 2.10.2 Definition of hull angles
  2. Force, Fi:
    where
    i = sub-region considered
    fai = shape coefficient of sub-region, i
    CCV = crushing failure class factor from Table 2.10.2 Class factors for vertical side bow forms
    ΔUI = displacement as defined in Pt 8, Ch 2, 10.1 Definitions 10.1.2, in kilo tonnes, not to be taken less than 5
  3. Line load, Qi:
    where
    i = sub-region considered
    Fi = force of sub-region i, in MN
    CQV = line load class factor from Table 2.10.2 Class factors for vertical side bow forms
  4. Pressure, Pi:
    where
    i = sub-region considered
    Fi = force of sub-region i, in MN
    CPV = pressure class factor from Table 2.10.2 Class factors for vertical side bow forms

10.6 Hull areas other than the bow

10.6.1 In the hull areas other than the bow, the force, FNB, and line load, QNB, used in the determination of the load patch dimensions, bNB, wNB, and design pressure, P a, are determined as follows:

  1. Force, F NB:

    F NB = 0,36C C ΔF MN

    where

    C C = crushing force class factor from Table 2.10.1 Class factors for icebreaking bow forms
    ΔF = ship displacement factor
    = UI0,64 if ΔUICDI
    = CDI 0,64 + 0,10 (ΔDICDI) if ΔUICDI
    ΔUI = displacement as defined in Pt 8, Ch 2, 10.1 Definitions 10.1.2, in kilo tonnes, not to be taken less than 10
    C DI = displacement class factor from Table 2.10.1 Class factors for icebreaking bow forms
  2. Line Load, Q NB:

    Q NB = 0,639F NB 0,61 C D MN/m

    where

    C D = load patch dimensions class factor from Table 2.10.1 Class factors for icebreaking bow forms.

10.7 Design load patch

10.7.1 In the bow area, and the bow Intermediate Icebelt area for ships with class notation PC6 and PC7, the design load patch has dimensions of width, w B, and height, b B, defined as follows:

w B = m
b B = m

where

F B = maximum F i in the bow area, in MN
Q B = maximum Q i in the bow area, in MN/m
P B = maximum P i in the bow area, in MPa.

10.7.2 In hull areas other than those covered by Pt 8, Ch 2, 10.7 Design load patch 10.7.1, the design load patch has dimensions of width, w NB, and height, b NB, defined as follows:

w NB = m
b NB = m

where

Q NB = line load determined using Pt 8, Ch 2, 10.6 Hull areas other than the bow 10.6.1.(b), in MN/m.

10.8 Pressure within the design load patch

10.8.1 The average pressure, P a, within a design load patch is determined as follows:

P a = MPa

where

F = F B or F NB as appropriate for the hull area under consideration, in MN
b = b B or b NB as appropriate for the hull area under consideration, in metres
w = w B or w NB as appropriate for the hull area under consideration, in metres.

10.8.2 Areas of higher, concentrated pressure exist within the load patch. In general, smaller areas have higher local pressures. Accordingly, the peak pressure factors listed in Table 2.10.3 Peak pressure factors are used to account for the pressure concentration on localised structural members.

Table 2.10.3 Peak pressure factors

Structural member Peak pressure factor, K i
Plating Transversely framed K p = (1,8 – s) ≥ 1,2
  Longitudinally framed K p = (2,2 – 1,2s) ≥ 1,5
Frames in transverse framing systems With load distributing stringers see Note 1 K t = (1,6 – s) ≥ 1,0
  With no load distributing stringers see Note 1 K t = (1,8 – s) ≥ 1,2
Frames in bottom structures Ks = 1
Load carrying stringers see Note 2 K s = 1 if S w ≥ 0,5w
Side longitudinals
Web frames
K s = 2 – if S w < 0,5w
Symbols
s = frame or longitudinal spacing, in metres
S w = web frame spacing, in metres
w = ice load patch width, in metres
Note 1. Load distributing stringers are intercostal. Load distributing stringer web height hlds is to be at least 80 per cent of the adjacent main frame web height (hlds ≥ 0,8h).
Note 2. Load carrying stringers are considered as continuous strength members in accordance with Pt 8, Ch 2, 10.14 Framing – Web frame and load carrying stringers. Generally load carrying stringer web height hlcs ≥ 2h.

10.9 Hull area factors

10.9.1 Associated with each hull area is an area factor that reflects the relative magnitude of the load expected in that area. The area factor, AF, for each hull area is listed in Table 2.10.4 Hull area factors (AF) .

10.9.2 In the event that a structural member spans across the boundary of a hull area, the largest hull area factor is to be used in the scantling determination of the member.

10.9.3 Due to their increased manoeuvrability, ships having propulsion arrangements with azimuth thruster(s) or podded propellers are to have specially considered stern icebelt, Si, and stern lower, Sl, hull area factors. See the Rules for the Classification of Stern First Ice Class Ships, July 2022.

Table 2.10.4 Hull area factors (AF)

Hull area Area Polar Class
PC1 PC2 PC3 PC4 PC5 PC6 PC7
Bow (B) All B 1,00 1,00 1,00 1,00 1,00 1,00 1,00
Icebelt BI i 0,90 0,85 0,85 0,80 0,80 1,00 1,00
          see Note 1 see Note 1
Bow intermediate (BI) Lower BI l 0,70 0,65 0,65 0,60 0,55 0,55 0,50
Bottom BI b 0,55 0,50 0,45 0,40 0,35 0,30 0,25
Midbody (M) Icebelt M i 0,70 0,65 0,55 0,55 0,50 0,45 0,45
Lower M l 0,50 0,45 0,40 0,35 0,30 0,25 0,25
Bottom M b 0,30 0,30 0,25 see Note 2 see Note 2 see Note 2 see Note 2
Stern (S) Icebelt S i 0,75 0,70 0,65 0,60 0,50 0,40 0,35
Lower S l 0,45 0,40 0,35 0,30 0,25 0,25 0,25
Bottom S b 0,35 0,30 0,30 0,25 0,15 see Note 2 see Note 2

Note 2. Indicates that strengthening for ice loads is not necessary.

10.9.4 Area factors to be applied to ships assigned the notation Icebreaker are given in Table 2.10.5 Hull area factors (AF) for icebreaker.

Table 2.10.5 Hull area factors (AF) for icebreaker

  B BIi BIl BIb Mi Ml Mb Si Sl Sb
PC1 1 0,90 0,70 0,55 0,70 0,50 0,30 0,94 0,56 0,35
PC2 1 0,85 0,65 0,50 0,65 0,45 0,30 0,88 0,50 0,30
PC3 1 0,85 0,65 0,45 0,55 0,40 0,25 0,81 0,44 0,30
PC4 1 0,85 0,65 0,45 0,55 0,40 0,25 0,81 0,44 0,30
PC5 1 0,85 0,65 0,45 0,55 0,40 0,25 0,81 0,44 0,30
PC6 1 1 0,65 0,45 0,55 0,40 0,25 0,81 0,44 0,30
PC7 1 1 0,65 0,45 0,55 0,40 0,25 0,81 0,44 0,30

10.10 Shell plate requirements

10.10.1 The required minimum shell plate thickness, t, is given by:

t = t net + t s mm

where

t net = plate thickness required to resist ice loads according to Pt 8, Ch 2, 10.10 Shell plate requirements 10.10.2, in mm
t s = corrosion and abrasion allowance according to Pt 8, Ch 2, 10.17 Corrosion/abrasion additions and steel renewal, in mm.

10.10.2 The thickness of shell plating required to resist the design ice load, t net, depends on the orientation of the framing. The plating net thickness is given by Table 2.10.6 Shell plate thickness.

Table 2.10.6 Shell plate thickness

Transversely framed plating see Note 1 Obliquely framed plating Longitudinally framed plating
Ω ≥ 70° 70° > Ω > 20° Ω ≤ 20°
b ≥ s b < s
linear interpolation
Symbols
where
Ω = smallest angle between the chord of the waterline and the line of the first level framing as illustrated in Figure 2.10.3 Shell framing angle Ω, in degrees
s = transverse frame spacing in transversely-framed ships or longitudinal frame spacing in longitudinally-framed ships, measured along the girth, in metres
K p = peak pressure factor from Table 2.10.3 Peak pressure factors
P a = average patch pressure according to Pt 8, Ch 2, 10.8 Pressure within the design load patch 10.8.1, in MPa
σ y = minimum upper yield stress of the material, in N/mm2
b = height of design load patch, in m, where bI in the case of determination of the net thickness for transversely framed plating
l = distance between frame supports, i.e. equal to the frame span as given in Pt 8, Ch 2, 10.11 Framing – General 10.11.5, but not reduced for any fitted end brackets, in metres. When a load-distributing stringer is fitted, the length, l, need not be taken larger than the distance from the stringer to the most distant frame support.
Note 1. Includes plating in hull areas BIb, Mb and Sb regardless of actual frame orientation.

Figure 2.10.3 Shell framing angle Ω

10.11 Framing – General

10.11.1 Framing members of Polar class ships are to be designed to withstand the ice loads defined in Pt 8, Ch 2, 10.3 Design ice loads – General

10.11.2 The term ‘framing member’ refers to transverse and longitudinal local frames, load-carrying stringers and web frames in the areas of the hull exposed to ice pressure, see Figure 2.10.1 Extent of hull areas. Where load-distributing stringers have been fitted, the arrangement and scantlings of these are to be suitably designed.

10.11.3 The strength of a framing member is dependent upon the fixity that is provided at its supports. Fixity can be assumed where framing members are either continuous through the support or attached to a supporting section with a connection bracket. In other cases, simple support is to be assumed unless the connection can be demonstrated to provide significant rotational restraint. Fixity is to be ensured at the support of any framing which terminates within an ice-strengthened area.

10.11.4 The details of framing member intersection with other framing members, including plated structures, as well as the details for securing the ends of framing members at supporting sections, are to be in accordance with Pt 3, Ch 10 Welding and Structural Details.

10.11.5 The effective span of a framing member is to be determined on the basis of its moulded length. If brackets are fitted, the effective span may be reduced in accordance with Pt 3, Ch 3 Structural Design.

10.11.6 When calculating the section modulus and shear area of a framing member, the net thicknesses of the web, flange (if fitted) and attached shell plating are to be used. The shear area of a framing member may include that material contained over the full depth of the member, i.e. web area including portion of flange, if fitted, but excluding attached shell plating.

10.11.7 The actual net effective shear area, A w, of a transverse or longitudinal local frame is given by:

where

h = height of stiffener, in mm, see Figure 2.10.4 Stiffner geometry
t wn = net web thickness, in mm
= t wt c
t w = as built web thickness, in mm, see Figure 2.10.4 Stiffner geometry
t c = corrosion deduction, in mm, to be subtracted from the web and flange thickness (as specified by t s in Table 2.10.6 Shell plate thickness, but not less than t s as required by Pt 8, Ch 2, 10.17 Corrosion/abrasion additions and steel renewal 10.17.3)
φw = smallest angle between shell plate and stiffener web, measured at the midspan of the stiffener, see Figure 2.10.4 Stiffner geometry. The angle φw may be taken as 90° provided the smallest angle is not less than 75°.

10.11.8 When the cross-sectional area of the attached plate flange exceeds the cross-sectional area of the local frame, the actual net effective plastic section modulus, Zp, of a transverse or longitudinal frame is given by:

Z p = cm3

where

A pn = net cross-sectional area of the local frame, in cm2
t pn = fitted net shell plate thickness, in mm, (complying with t net as required by Pt 8, Ch 2, 10.10 Shell plate requirements 10.10.2)
h w = height of local frame web, in mm, see Figure 2.10.4 Stiffner geometry
A fn = net cross-sectional area of local frame flange, in cm2
h fc = height of local frame measured to centre of the flange area, in mm, see Figure 2.10.4 Stiffner geometry
b w = distance from mid thickness plane of local frame web to the centre of the flange area, in mm, see Figure 2.10.4 Stiffner geometry

h, t w, t c and φw as given in Pt 8, Ch 2, 10.11 Framing – General 10.11.7

s as given in Pt 8, Ch 2, 10.10 Shell plate requirements 10.10.2

10.11.9 When the cross-sectional area of the local frame exceeds the cross-sectional area of the attached plate flange, the plastic neutral axis is located a distance z na above the attached shell plate, given by:

z na = mm

and the net effective plastic section modulus, Zp, of a transverse or longitudinal frame is given by:

Z p = cm3

10.11.10 In the case of oblique framing arrangement (70° > Ω > 20°, where Ω is defined as given in Pt 8, Ch 2, 10.10 Shell plate requirements 10.10.2), linear interpolation is to be used.

Figure 2.10.4 Stiffner geometry

10.12 Framing – Local frames in bottom structures and transverse local frames in side structures

10.12.1 The local frames in bottom structures (i.e. hull areasBIb, Mb and Sb) and transversely-framed side structures are to be dimensioned such that the combined effects of shear and bending do not exceed the plastic strength of the member. The plastic strength is defined by the magnitude of midspan load that causes the development of a plastic collapse mechanism. For bottom structures the load patch shall be applied with the dimension b parallel to the frame direction.

10.12.2 The actual net effective shear area of the frame, A w, as defined in Pt 8, Ch 2, 10.11 Framing – General 10.11.7, is to comply with the following condition:

  • A w A t
where
A t = cm2
l L = length of loaded portion of span, in metres
  • need not exceed the lesser of a and b
a = local frame span as defined in Pt 8, Ch 2, 10.11 Framing – General 10.11.5, in metres
b = height of design ice load patch according to 10.6, in metres
s = spacing of local frame, in metres
AF = hull area factor from Table 2.10.4 Hull area factors (AF) or Table 2.10.5 Hull area factors (AF) for icebreaker, as appropriate
K t = peak pressure factor from Table 2.10.3 Peak pressure factors, as appropriate
P a = average pressure within load patch according to Pt 8, Ch 2, 10.8 Pressure within the design load patch, in MPa
σy = minimum upper yield stress of the material, in N/mm2
10.12.3 The actual net effective plastic section modulus of the plate/stiffener combination, Z p, as defined in Pt 8, Ch 2, 10.11 Framing – General 10.11.8 or Pt 8, Ch 2, 10.11 Framing – General 10.11.9, is to comply with the following conditions and is to be the greatest of the two load conditions:
  1. ice load acting at the midspan of the local frame, and

  2. the ice load acting near a support.

    • Z pZ pt
    where
    Z pt =
    Y = 1 –
    A 1 = reflects the two conditions and is to be taken as the greater of A 1A orA 1B
    A 1A =
    A 1B =
    j = 1 for a local frame with one simple support outside the ice strengthened areas
    = 2 for a local frame without any simple supports
    a 1 =
    A t = rule minimum shear area of the local frame as given in Pt 8, Ch 2, 10.12 Framing – Local frames in bottom structures and transverse local frames in side structures 10.12.2, in cm2
    A w = effective net shear area of the local frame (calculated according to Pt 8, Ch 2, 10.11 Framing – General 10.11.7), in cm2
    k w =
    A fn = as given in Pt 8, Ch 2, 10.11 Framing – General 10.11.8
    k z = in general
    = 0 when the frame is arranged with end bracket
    z p = sum of individual plastic section modulii of flange and shell plate as fitted, in cm3
    =
    b f = flange breadth, in mm, see Figure 2.10.4 Stiffner geometry
    t fn = net flange thickness, in mm
    = tf - tc
    t c = as given in Pt 8, Ch 2, 10.11 Framing – General 10.11.7
    t f = as-built flange thickness, in mm, see Figure 2.10.4 Stiffner geometry
    t pn = the fitted net shell plate thickness, in mm, but is not to be less than t n as given in Pt 8, Ch 2, 10.10 Shell plate requirements
    b e = effective width of shell plate flange, in mm
    = 500s
    Z p = net effective plastic section modulus of the local frame (calculated according to Pt 8, Ch 2, 10.11 Framing – General 10.11.8 or Pt 8, Ch 2, 10.11 Framing – General 10.11.9), in cm3

    AF, K t, P a, l L, b, s, a and σy are as given in Pt 8, Ch 2, 10.12 Framing – Local frames in bottom structures and transverse local frames in side structures 10.12.2.

10.12.4 The scantlings of the local frame are to meet the structural stability requirements of Pt 8, Ch 2, 10.15 Framing – Structural stability.

10.13 Framing – Longitudinal local frames in side structures

10.13.1 Longitudinal local frames in side structures are to be dimensioned such that the combined effects of shear and bending do not exceed the plastic strength of the member. The plastic strength is defined by the magnitude of midspan load that causes the development of a plastic collapse mechanism.

10.13.2 The actual net effective shear area of the frame, A w, as defined in Pt 8, Ch 2, 10.11 Framing – General 10.11.7, is to comply with the following condition:

A wA L

where
A L =
AF = hull area factor from Table 2.10.4 Hull area factors (AF) or Table 2.10.5 Hull area factors (AF) for icebreaker, as appropriate
K s = peak pressure factor from Table 2.10.3 Peak pressure factors, as appropriate
P a = average pressure within load patch according to Pt 8, Ch 2, 10.8 Pressure within the design load patch 10.8.1, in MPa
b 1 = k o b 2 m
k o =
b' =
b = height of design ice load patch from Pt 8, Ch 2, 10.7 Design load patch, in metres
s = spacing of longitudinal frames, in metres
b 2 = b(1-0,25b') m if b'<2
= s m if b' ≥ 2
a = effective span of longitudinal frame as given in Pt 8, Ch 2, 10.11 Framing – General 10.11.5, in metres
σ y = minimum upper yield stress of the material, in N/mm2

10.13.3 The actual net effective plastic section modulus of the plate/stiffener combination, Z p, as defined in Pt 8, Ch 2, 10.11 Framing – General 10.11.8 or Pt 8, Ch 2, 10.11 Framing – General 10.11.9, is to comply with the following condition:

  • Z pZ pL
where
Z pL =
A 4 =
a 4 =
A L = rule minimum shear area for longitudinal as given in Pt 8, Ch 2, 10.13 Framing – Longitudinal local frames in side structures 10.13.2, in cm2
A w = net effective shear area of longitudinal (calculated according to Pt 8, Ch 2, 10.11 Framing – General 10.11.7), in cm2
k wl =
A fn = as given in Pt 8, Ch 2, 10.11 Framing – General 10.11.8

AF, K s, P a, b 1, a and σy are as given in Pt 8, Ch 2, 10.13 Framing – Longitudinal local frames in side structures 10.13.2.

10.13.4 The scantlings of the longitudinals are to meet the structural stability requirements of Pt 8, Ch 2, 10.15 Framing – Structural stability.

10.14 Framing – Web frame and load carrying stringers

10.14.1 Web frames and load-carrying stringers are to be designed to withstand the ice load patch as defined in Pt 8, Ch 2, 10.8 Pressure within the design load patch. The load patch is to be applied at locations where the capacity of these members under the combined effects of bending and shear is minimised.

10.14.2 Web frames and load-carrying stringers are to be dimensioned to take into account the combined effects of shear and bending. Where the structural configuration is such that members do not form part of a grillage system, the appropriate peak pressure factor, K i, from Table 2.10.3 Peak pressure factors is to be used. Special attention is to be paid to the shear capacity in way of lightening holes and cut-outs in way of intersecting members.

10.14.3 For determination of scantlings on load carrying stringers, web frames supporting local frames, or web frames supporting load carrying stringers forming part of a structural grillage system, appropriate methods as outlined in Pt 8, Ch 2, 10.28 Direct calculations are normally to be used.

10.14.4 The scantlings of web frames and load-carrying stringers are to meet the structural stability requirements of Pt 8, Ch 2, 10.15 Framing – Structural stability.

10.15 Framing – Structural stability

10.15.1 To prevent local buckling in the web, the ratio of web height, h w, to net web thickness, t wn, of any framing member is not to exceed:

For flat bar sections:

For bulb, tee and angle sections:

where
h w = web height
t wn = net web thickness
σy = minimum upper yield stress of the shell plate in way of the framing member, in N/mm2

10.15.2 Framing members for which it is not practicable to meet the requirements of Pt 8, Ch 2, 10.15 Framing – Structural stability 10.15.1(e.g. load carrying stringers or deep web frames) are required to have their webs effectively stiffened. The scantlings of the web stiffeners are to ensure the structural stability of the framing member. The minimum net web thickness for these framing members is given by:

where
c 1 = h w – 0,8h mm
h w = web height of stringer/web frame, in mm, see Figure 2.10.5 Parameter definition for web stiffening
h = height of framing member penetrating the member under consideration (to be taken as zero if no such framing member is fitted), in mm, see Figure 2.10.5 Parameter definition for web stiffening
c 2 = spacing between supporting structure oriented perpendicular to the member under consideration, in mm, see Figure 2.10.5 Parameter definition for web stiffening
σy = minimum upper yield stress of the material, in N/mm2.

10.15.3 In addition, the following is to be satisfied:

  • t wn
where
σy = minimum upper yield stress of the shell plate in way of the framing member, in N/mm2
t wn = net thickness of the web, in mm
t pn = net thickness of the shell plate in way the framing member, in mm.

10.15.4 To prevent local flange buckling of welded profiles, the following are to be satisfied:

  1. The flange width, b f, in mm, is not to be less than five times the net thickness of the web, t wn.

  2. The flange outstand, b o, in mm, is to meet the following requirement:

    where
    t fn = net thickness of flange, in mm
    σy = minimum upper yield stress of the material, in N/mm2.

Figure 2.10.5 Parameter definition for web stiffening

10.16 Plated structures

10.16.1 Plated structures are those stiffened plate elements in contact with the hull and subject to ice loads. These requirements are applicable to an inboard extent which is the lesser of:

  1. web height of adjacent parallel web frame or stringer; or

  2. 2,5 times the depth of framing that intersects the plated structure.

10.16.2 The thickness of the plating and the scantlings of attached stiffeners are to be such that the degree of end fixity necessary for the shell framing is ensured.

10.16.3 The stability of the plated structure is to adequately withstand the ice loads defined in Pt 8, Ch 2, 10.8 Pressure within the design load patch.

10.17 Corrosion/abrasion additions and steel renewal

10.17.1 Effective protection against corrosion and ice-induced abrasion is recommended for all external surfaces of the shell plating for Polar Class ships.

10.17.2 The values of corrosion/abrasion additions, ts, to be used in determining the shell plate thickness are listed in Table 2.10.7 Corrosion/abrasion additions for shell plating. See the Rules for the Manufacture, Testing and Certification of Materials, July 2022, Ch 15, 2.13 Ice coatings.

10.17.3 Polar Class ships are to have a minimum corrosion/abrasion addition of ts = 1,0 mm applied to all internal structures within the ice strengthened hull areas, including plated members adjacent to the shell, as well as stiffener webs and flanges.

10.17.4 Steel renewal for ice strengthened structures is required when the gauged thickness is less than tn + 0,5 mm.

Figure 2.10.6 Steel grade requirements for submerged and weather exposed shell plating

Table 2.10.7 Corrosion/abrasion additions for shell plating

Hull area t s, in mm
With effective protection Without effective protection
PC1 to PC3 PC4 and PC5 PC6 and PC7 PC1 to PC3 PC4 and PC5 PC6 and PC7
Bow; Bow Intermediate Icebelt 3,5 2,5 2,0 7,0 5,0 4,0
Bow Intermediate Lower; Midbody & Stern Icebelt 2,5 2,0 2,0 5,0 4,0 3,0
Midbody and Stern Lower; Bottom 2,0 2,0 2,0 4,0 3,0 2,5

10.18 Materials

10.18.1 Steel grades of plating for hull structures are to be not less than those given in Table 2.10.9 Steel grades for weather exposed plating to Table 2.10.11 Steel grades for weather exposed plating based on the as-built thickness, the Polar Class and the material class of structural members given in Table 2.10.8 Material classes for structural members of polar ships.

10.18.2 Material classes specified in Table 2.2.1 Material classes and grades in Pt 3, Ch 2 Materials, are applicable to Polar Class ships regardless of the ship's length. In addition, material classes for weather and sea exposed structural members and for members attached to the weather and sea exposed plating are given in Table 2.10.8 Material classes for structural members of polar ships. Where the material classes in Table 2.10.8 Material classes for structural members of polar ships and those in Table 2.2.1 Material classes and grades in Pt 3, Ch 2 Materials differ, the higher material class is to be applied.

10.18.3 Steel grades for all plating and attached framing of hull structures and appendages situated below the level of 0,3 m below the lower waterline, as shown in Figure 2.10.6 Steel grade requirements for submerged and weather exposed shell plating, are to be obtained from Table 2.2.2 Steel grades inPt 3, Ch 2 Materials, based on the material class for Structural Members in Table 2.10.8 Material classes for structural members of polar ships above, regardless of Polar Class.

10.18.4 Steel grades for all weather exposed plating of hull structures and appendages situated above the level of 0,3 m below the lower ice waterline, as shown in Figure 2.10.6 Steel grade requirements for submerged and weather exposed shell plating, are to be not less than given in Table 2.10.9 Steel grades for weather exposed plating to Table 2.10.11 Steel grades for weather exposed plating.

10.18.5 Castings are to have specified properties consistent with the expected service temperature for the cast component.

Table 2.10.8 Material classes for structural members of polar ships

Structural members Material Class
Shell plating within the bow and bow intermediate icebelt hull areas (B, BIi ) II
Plating materials for stem and stern frames, rudder horn, rudder, propeller nozzle, shaft brackets, ice skeg, ice knife and other appendages subject to ice impact loads II
All weather and sea exposed SPECIAL, as defined in Table 2.2.1 Material classes and grades inPt 3, Ch 2 Materials, structural members within 0,2L from FP II
All weather and sea exposed SECONDARY and PRIMARY, as defined in Table 2.2.1 Material classes and grades inPt 3, Ch 2 Materials, structural members outside 0,4L amidships I
All inboard framing members attached to the weather and sea-exposed plating including any contiguous inboard member within 600 mm of the plating I
Weather-exposed plating and attached framing in cargo holds of ships which by nature of their trade have their cargo hold hatches open during cold weather operations I

Table 2.10.9 Steel grades for weather exposed plating

Thickness, t mm Material Class I
PC1 to 5 PC6 and 7
MS HT MS HT
t ≤ 10 B AH B AH
10 < t ≤ 15 B AH B AH
15 < t ≤ 20 D DH B AH
20 < t ≤ 25 D DH B AH
25 < t ≤ 30 D DH B AH
30 < t ≤ 35 D DH B AH
35 < t ≤ 40 D DH D DH
40 < t ≤ 45 E EH D DH
45 < t ≤ 50 E EH D DH

Note Includes weather exposed plating of hull structures and appendages, as well as their outboard framing members, situated above a level of 0,3 m below the lowest ice waterline.

Table 2.10.10 Steel grades for weather exposed plating

  Material Class II
Thickness, t mm PC1 to 5 PC6 and 7
  MS HT MS HT
t ≤ 10 B AH B AH
10 < t ≤ 15 D DH B AH
15 < t ≤ 20 D DH B AH
20 < t ≤ 25 D DH B AH
25 < t ≤ 30 E EH, see Note 2 D DH
30 < t ≤ 35 E EH D DH
35 < t ≤ 40 E EH D DH
40 < t ≤ 45 E EH D DH
45 < t ≤ 50 E EH D DH

Note 1. Includes weather exposed plating of hull structures and appendages, as well as their outboard framing members, situated above a level of 0,3 m below the lowest ice waterline.

Note 2. Grades D, DH are allowed for a single strake of side shell plating not more than 1,8 m wide from 0,3 m below the lowest ice waterline.

Table 2.10.11 Steel grades for weather exposed plating

Thickness, t mm Material Class III
PC1 to 3 PC4 and 5 PC6 and 7
MS HT MS HT MS HT
t ≤ 10 E EH E EH B AH
10 < t ≤ 15 E EH E EH D DH
15 < t ≤ 20 E EH E EH D DH
20 < t ≤ 25 E EH E EH D DH
25 < t ≤ 30 E EH E EH E EH
30 < t ≤ 35 E EH E EH E EH
35 < t ≤ 40 F FH E EH E EH
40 < t ≤ 45 F FH E EH E EH
45 < t ≤ 50 F FH F FH E EH

Note Includes weather exposed plating of hull structures and appendages, as well as their outboard framing members, situated above a level of 0,3 m below the lowest ice waterline.

10.19 Longitudinal strength – Application

10.19.1 A ramming impact on the bow is the design scenario for the evaluation of the longitudinal strength of the hull.

10.19.2 Intentional ramming is not considered as a design scenario for ships which are designed with vertical side bow forms or bulbous bow forms, see Pt 8, Ch 2, 1.4 Application for multi-year ice conditions 1.4.4. Hence the longitudinal strength requirements given in Pt 8, Ch 2, 10.23 Longitudinal strength criteria are not to be considered for ships with stem angle γstem equal to or greater than 80°.

10.19.3 Ice loads are only to be combined with still water loads. The combined stresses are to be compared against permissible bending and shear stresses at different locations along the ship's length. In addition, sufficient local buckling strength is also to be verified.

10.20 Design vertical ice force at the bow

10.20.1 The design vertical ice force at the bow, FIB, is to be taken as the lesser of FIB, 1 or FIB, 2:

FIB, 1 =
F IB, 2 = 1,2CF MN

where

K I = indentation parameter
=
K f = for blunt bow forms:
  • for wedge bow forms (αs < 80 deg), eb = 1 and the above simplifies to:
αs = waterline angle measured in way of the stem at the upper ice waterline (UIWL), in degrees, see Figure 2.10.7 Bow shape definition
K h = 0,01Awp MN/m
C L = longitudinal strength class factor from Table 2.10.1 Class factors for icebreaking bow forms
= An approximate eb determined by a simple fit is acceptable
= 1,0 for a simple wedge bow form
= 0,4 to 0,6 for a spoon bow form
= 0 for a landing craft bow form
γs = stem angle to be measured between the horizontal axis and the stem tangent at the upper ice waterline, in degrees (buttock angle as per Figure 2.10.2 Definition of hull angles measured on the centreline)
C =
BUI = the greatest moulded breadth corresponding to the upper ice waterline (UIWL), in metres
L B = bow length, in m, used in the equation:
ΔUI = displacement as defined in Pt 8, Ch 2, 10.1 Definitions 10.1.2, in kilo tonnes, not to be taken less than 10
A wp = waterplane area corresponding to the upper ice waterline (UIWL), in m2
C F = flexural failure class factor from Table 2.10.1 Class factors for icebreaking bow forms

Figure 2.10.7 Bow shape definition

Figure 2.10.8 Illustration of effect on the bow shape eb, for B = 20 and LB = 16

10.21 Design vertical shear force

10.21.1 The design vertical ice shear force, F I, along the hull girder is to be taken as:

FI = Cf FIB MN

where

C f = longitudinal distribution factor to be taken as follows:
  1. Positive shear force
    C f = 0,0 between the aft end of LUI and 0,6LUI from aft
    C f = 1,0 between 0,9LUI from aft and the forward end of L UI
  2. Negative shear force
    Cf = 0,0 at the aft end of LUI
    Cf = -0,5 between 0,2LUI and 0,6 LUI from aft
    Cf = 0,0 between 0,8LUI from aft and the forward end of LUI
    LUI = length, as defined in Pt 8, Ch 2, 10.1 Definitions 10.1.2 in metres

Intermediate values are to be determined by linear interpolation.

10.21.2 The applied vertical shear stress, τa, is to be determined along the hull girder in a similar manner as in Pt 3, Ch 4 Longitudinal Strength by substituting the design vertical ice shear force for the design vertical wave shear force.

10.22 Design vertical ice bending moment

10.22.1 The design vertical ice bending moment, MI, along the hull girder is to be taken as:

MI = 0,1 Cm LUI sin–0,2s) FIB MNm

where

LUI = ship length as defined in Pt 8, Ch 2, 10.1 Definitions 10.1.2 in metres.
FIB = design vertical ice force at the bow, in MN
Cm = longitudinal distribution factor for design vertical ice bending moment to be taken as follows:
Cm = 0,0 at the aft end of LUI
Cm = 1,0 between 0,5LUI and 0,7LUI from aft
Cm = 0,3 at 0,95LUI from aft
C m = 0,0 at the forward end of LUI
  • Intermediate values are to be determined by linear interpolation.

10.22.2 The applied vertical bending stress, σa, is to be determined along the hull girder in a similar manner as in Pt 3, Ch 4 Longitudinal Strength, by substituting the design vertical ice bending moment for the design vertical wave bending moment. The ship still water bending moment is to be taken as the permissible still water bending moment in sagging condition.

10.23 Longitudinal strength criteria

10.23.1 The strength criteria provided in Table 2.10.12 Longitudinal strength criteria are to be satisfied. The design stress is not to exceed the permissible stress.

Table 2.10.12 Longitudinal strength criteria

Failure mode Applied stress Permissible stress Permissible stress
Tension σa η σy η 0,41(σu + σy)
Shear τa
Buckling σa σ for plating and for web plating of stiffeners
   
for stiffeners
  τa τc
Symbols
σa = applied vertical bending stress, in N/mm2
τa = applied vertical shear stress, in N/mm2
σy = minimum upper yield stress of the material, in N/mm2
σu = ultimate tensile strength of material, in N/mm2
σc = critical buckling stress in compression, according to Pt 3, Ch 4 Longitudinal Strength, in N/mm2
τc = critical buckling stress in shear, according to Pt 3, Ch 4 Longitudinal Strength, in N/mm2
η = 0,8
= 0,6 for ships which are assigned the additional notation Icebreaker

10.24 Stem and stern frames

10.24.1 The stem and stern frame are to be suitably designed. The stem and stern requirements of the Finnish-Swedish Ice Class Rules are to be additionally considered, see Pt 8, Ch 2, 1 Strengthening requirements for navigation in ice – Application of requirements.

10.25 Rudders

10.25.1  Rudder scantlings, posts, rudder horns, solepieces, rudder stocks, steering engines, and pintles are to be dimensioned in accordance with Pt 3, Ch 6 Aft End Structure and Pt 3, Ch 13 Ship Control Systems as appropriate. The speed used in the calculations is to be the maximum service speed or that given in Table 2.10.13 Minimum speed, whichever is the greater. When used in association with the speed given in Table 2.10.13 Minimum speed, the rudder profile coefficients are to be taken as 1,1.

10.25.2 For the astern condition the actual astern speed or half the minimum speed defined in Table 2.10.13 Minimum speed is to be used, whichever is greater.

10.25.3 The section modulus of the solepiece calculated in accordance with Pt 8, Ch 2, 10.25 Rudders 10.25.1 and Pt 8, Ch 2, 10.25 Rudders 10.25.2 need not be greater than three times the section modulus of the solepiece, calculated in accordance with Pt 3, Ch 13 Ship Control Systems using the actual maximum service speed.

10.25.4 Local scantlings of rudders are to be determined considering that the rudder belongs to the stern ice belt/ice belt lower, depending on rudder location with respect to the lower extent of the ice belt. Rudder local plating and framing located above the lower extent of the main ice belt are to be dimensioned using the stern ice belt area factor applicable to the relevant Polar Class. Rudder local plating and framing located below the lower extent of the main ice belt are to be dimensioned using the stern lower ice belt area factor applicable to the relevant Polar Class.

10.25.5 For scantlings of the rudder blade the plate thickness is to be determined in accordance with Pt 8, Ch 2, 10.10 Shell plate requirements using the rudder web frame spacing. The aspect ratio of the panel under consideration is to be used to determine the appropriate selection of formulae for transverse or longitudinally framed plating. Where the aspect ratio is 1,0, the panel is to be considered transversely framed.

10.25.6 The vertical and horizontal web thickness is not to be less than 0,7tR, but is not to be taken as less than 8 mm, where tR is the rudder plate thickness.

10.25.7 The mainpiece is to be dimensioned in accordance with Pt 3, Ch 13 Ship Control Systems, utilising the basic stock diameter derived using in the minimum speed in Table 2.10.13 Minimum speed.

Table 2.10.13 Minimum speed

Ice Class Minimum speed, in knots Ice Class Minimum speed, in knots
PC7 18 Icebreaker, PC7 22
PC6 20 Icebreaker, PC6 24
PC5 22 Icebreaker, PC5 28
PC4 25 Icebreaker, PC4 32
PC3 28 Icebreaker, PC3 35
PC2 31 Icebreaker, PC2 38
PC1 34 Icebreaker, PC1 42

10.26 Appendages

10.26.1 All appendages are to be designed to withstand forces appropriate for the location of their attachment to the hull structure or their position within a hull area.

10.27 Local details

10.27.1 Local design details are to be suitably designed to transfer ice-induced loads to supporting structure (bending moments and shear forces).

10.27.2 The loads carried by a member in way of cut-outs are not to cause instability. Where necessary, the structure is to be stiffened.

10.28 Direct calculations

10.28.1 Direct calculations are not to be utilised as an alternative to the analytical procedures prescribed for the shell plating and local frame requirements given in Pt 8, Ch 2, 10.10 Shell plate requirements to Pt 8, Ch 2, 10.13 Framing – Longitudinal local frames in side structures.

10.28.2 Direct calculations are to be used for load carrying stringers and web frames forming part of a grillage system.

10.28.3 Where direct calculation is used to check the strength of structural systems, the load patch specified in Pt 8, Ch 2, 10.3 Design ice loads – General is to be applied, without being combined with any other loads. The load patch is to be applied at locations where the capacity of these members under the combined effects of bending and shear is minimised. Special attention is to be paid to the shear capacity in way of lightening holes and cut-outs in way of intersecting members.

10.28.4 The strength evaluation of web frames and stringers may be performed based on linear or non-linear analysis. Recognised structural idealisation and calculation methods are to be applied, see Pt 3, Ch 1, 2 Direct calculations. In the strength evaluation, the guidance given in Pt 8, Ch 2, 10.28 Direct calculations 10.28.5 and Pt 8, Ch 2, 10.28 Direct calculations 10.28.6 may generally be considered.

10.28.5  If the structure is evaluated based on linear calculation methods, the following are to be considered:
  1. Web plates and flange elements in compression and shear to fulfil relevant buckling criteria in accordance with the applicable ShipRight SDA procedures. See Pt 3, Ch 16, 3 Structural design assessment.
  2. Nominal shear stresses in member web plates to be less than sy/√3
  3. Nominal von Mises stresses in member flanges to be less than 1,15 sy
10.28.6 If the structure is evaluated based on non-linear calculation methods, the following are to be considered:
  1. The analysis is to reliably capture buckling and plastic deformation of the structure.
  2. The acceptance criteria are to ensure a suitable margin against fracture and major buckling and yielding causing significant loss of stiffness.
  3. Permanent lateral and out-of plane deformation of considered member are to be minor relative to the relevant structural dimensions.

10.29 Welding

10.29.1 All welding within ice-strengthened areas is to be of the double continuous type.

10.29.2 Continuity of strength is to be ensured at all structural connections.


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