Section
15 Requirements for ships with large deck openings
15.1 Application
15.1.1 The
combined stresses due to vertical bending moment, horizontal bending
moment and torque are to be calculated as described in this Section.
15.2 Symbols and definitions
15.2.1 The
following symbols and definitions are applicable to this Section unless
otherwise stated:
Z
Y
|
= |
actual hull section modulus about the transverse neutral axis
at the position considered, in m3
|
Z
Z
|
= |
actual hull section modulus about the vertical neutral axis
at the position considered, in m3
|
ε |
= |
shear centre distance below baseline, in metres, may be taken as
fε εm. Alternatively, the shear centre position
along the length of the ship may be obtained by direct calculation. ε is taken as
positive where the shear centre is below the baseline |
εm |
= |
maximum shear centre distance below baseline of the ship in the midship region,
in metres. εm is taken as positive where the shear centre is below the
baseline |
fε |
= |
longitudinal distribution factor of shear centre, to be taken as follows:
- -1,0 at the aft end of L
- 1,0 between engine room forward bulkhead and
0,8L from aft
- -1,0 at the forward end of L
Intermediate values are to be determined by linear interpolation
|
M
S
|
= |
design still water bending moment at the section under consideration,
in kN m |
σC
|
= |
combined
stress at the position considered. |
15.3 Design loadings
15.3.1 The design vertical wave bending moments, MWC1 and
MWC2, at any position along the ship is defined as:
MWC1
|
= |
0,05C0
C31
L2
B (Cb + 0,7) kN m |
MWC2
|
= |
0,05C0
C32
L2
B (Cb + 0,7) kN m |
C0 |
= |
|
L, B, Cb are given in Pt 3, Ch 1, 6 Definitions
The sign convention is given in Figure 8.15.1 Sign conventions for hull girder
loads
Table 8.15.1 Distribution of wave bending
moments
Position
|
C
31
|
C
32
|
Station
|
0 (A.P.)
|
0,000
|
0,000
|
|
1
|
0,062
|
0,018
|
|
2
|
0,158
|
0,017
|
|
3
|
0,305
|
-0,008
|
|
4
|
0,460
|
-0,058
|
|
5
|
0,611
|
-0,137
|
|
6
|
0,732
|
-0,235
|
|
7
|
0,817
|
-0,350
|
|
8
|
0,850
|
-0,458
|
|
9
|
0,836
|
-0,548
|
|
10 (mid –
Lpp)
|
0,780
|
-0,607
|
|
11
|
0,683
|
-0,615
|
|
12
|
0,555
|
-0,571
|
|
13
|
0,415
|
-0,498
|
|
14
|
0,275
|
-0,404
|
|
15
|
0,165
|
-0,302
|
|
16
|
0,085
|
-0,208
|
|
17
|
0,041
|
-0,132
|
|
18
|
0,022
|
-0,074
|
|
19
|
0,010
|
-0,028
|
|
20 (F.P.)
|
0,000
|
-0,000
|
Note Intermediate values are to be determined by linear
interpolation.
|
Figure 8.15.1 Sign conventions for hull girder
loads
15.3.2 The design horizontal wave bending moments, MHC1 and
MHC2, at any position along the ship are defined as:
MHC1
|
= |
0,2033 C0
C41
L
2
T (Cb + 0,7) kN m |
MHC2
|
= |
0,2033 C0
C42
L2
T (Cb + 0,7) kN m |
C
0 is defined in Pt 4, Ch 8, 15.3 Design loadings 15.3.1
L, T ,C
b are given in Pt 3, Ch 1, 6 Definitions
The sign convention is given in Figure 8.15.1 Sign conventions for hull girder
loads
Table 8.15.2 Distribution of horizontal wave
bending moments and hydrodynamic torques
Position
|
C41
|
C42
|
C51
|
C
52
|
K31
|
K32
|
Station
|
0 (A.P.)
|
0,000
|
0,000
|
0,000
|
0,000
|
0,000
|
0,000
|
|
1
|
–0,016
|
0,010
|
-0,181
|
0,124
|
0,101
|
–0,113
|
|
2
|
–0,046
|
0,046
|
-0,343
|
0,349
|
0,211
|
–0,304
|
|
3
|
–0,097
|
0,119
|
-0,439
|
0,593
|
0,276
|
–0,486
|
|
4
|
–0,154
|
0,228
|
-0,433
|
0,794
|
0,277
|
–0,659
|
|
5
|
–0,208
|
0,369
|
-0,387
|
0,898
|
0,214
|
–0,804
|
|
6
|
–0,242
|
0,533
|
-0,285
|
0,959
|
0,089
|
–0,860
|
|
7
|
–0,247
|
0,699
|
-0,123
|
0,930
|
–0,083
|
–0,801
|
|
8
|
–0,217
|
0,846
|
0,086
|
0,849
|
–0,268
|
–0,662
|
|
9
|
–0,153
|
0,948
|
0,189
|
0,723
|
–0,422
|
–0,404
|
|
10 (mid –
L
pp)
|
–0,072
|
0,997
|
0,245
|
0,586
|
–0,485
|
–0,090
|
|
11
|
0,014
|
0,985
|
0,271
|
0,411
|
–0,447
|
0,232
|
|
12
|
0,087
|
0,915
|
0,263
|
0,239
|
–0,338
|
0,483
|
|
13
|
0,136
|
0,802
|
0,189
|
0,079
|
–0,227
|
0,734
|
|
14
|
0,158
|
0,657
|
0,080
|
-0,081
|
–0,094
|
0,913
|
|
15
|
0,151
|
0,502
|
-0,053
|
-0,099
|
0,067
|
0,998
|
|
16
|
0,123
|
0,349
|
-0,131
|
-0,058
|
0,185
|
0,952
|
|
17
|
0,083
|
0,214
|
-0,149
|
0,051
|
0,245
|
0,821
|
|
18
|
0,043
|
0,106
|
-0,080
|
0,072
|
0,220
|
0,627
|
|
19
|
0,013
|
0,034
|
-0,029
|
0,040
|
0,133
|
0,326
|
|
20 (F.P.)
|
0,000
|
0,000
|
0,000
|
0,000
|
0,000
|
0,000
|
Note Intermediate values are to be determined by linear
interpolation.
|
15.3.3 The design hydrodynamic torques, MWTC1 and
MWTC2, at any position along the ship are defined as:
MWTCB1
|
= |
0,0728C0
C51
L
B2 (Cb + 0,7) kN m |
MWTCQ1
|
= |
–(0,65T + ) QHC1 kN m |
MWTCB2
|
= |
0,0728C0
C52
L
B2 (Cb + 0,7) kN m |
MWTCQ2
|
= |
–(0,65T + ) QHC2 kN m |
C
0 is defined in Pt 4, Ch 8, 15.3 Design loadings 15.3.1
QHC1
|
= |
0,8385 C0
K31
L T (Cb + 0,7) kN |
QHC2
|
= |
0,8385 C0
K32
L T (Cb + 0,7) kN |
L, B, T, Cb, are given in Pt 3, Ch 1, 6 Definitions. ε is given in Pt 4, Ch 8, 15.2 Symbols and definitions 15.2.1
The sign convention is given in Figure 8.15.1 Sign conventions for hull girder
loads
15.3.4 The value and distribution of static cargo torque, MSTC,
are to be specified by the designer based on the intended operation of the ship and are
not to be less than minimum design value of static cargo torque. The minimum design
value of static cargo torque, MSTC, at any position along the ship is
defined as:
MSTC
|
= |
15,7C6
B (ηs ηt + 0,7Nsd
Ntd) kNm |
ηs
|
= |
the
maximum number of stacks of containers over the breadth of the cargo
hold |
ηt
|
= |
the
maximum number of tiers of containers in the cargo hold amidships,
excluding containers above the main deck or on the hatch covers |
Nsd
|
= |
the maximum number of stacks of containers over the breadth, B, on hatch covers or above the main deck
|
Ntd
|
= |
the number of tiers of containers on hatch covers or above the
main deck amidships, excluding containers in cargo holds |
B is given in Pt 3, Ch 1, 6 Definitions.
Table 8.15.3 Static cargo torque distribution
factor
Position
|
Factor C6
|
Station
|
0 (A.P.)
|
0,0
|
|
5
|
1,0
|
|
15
|
1,0
|
|
20 (F.P.)
|
0,0
|
Note Intermediate values are to be determined by linear
interpolation.
|
15.4 Combined stress
15.4.1 Combined
stress calculations are to be carried out at least at the following
positions along the length of the ship:
-
At the forward
and aft ends of the engine room.
-
At the forward
and aft ends of the deck-house for multi-island designs.
-
At the forward
and aft transverse bulkhead positions of each cargo bay.
-
At the forward
and aft transverse bulkhead of fuel oil deep tanks.
-
At any other
sections where there are significant changes in cross-section properties.
15.4.2 The combined stress, σc, is to be less than the permissible
stress given in Table 8.15.4 Permissible stress. σc, is to be
taken as the greatest magnitude of the following stresses:
σc1
|
= |
|
σc2
|
= |
|
σ'c1
|
= |
|
σ'c2
|
= |
|
where
σ'1
|
= |
σWC1 - σHC1 - σWTC1 |
σ'2
|
= |
σWC2 - σHC2 - σWTC2 |
For σC1
f
|
= |
|
f
|
= |
|
where
MWC
|
= |
|
For σ'C1
f |
= |
|
For σ'C2
f |
= |
|
where
MWC' |
= |
|
σSC
|
= |
longitudinal stress due to hogging or sagging design still water
bending moment M
s
|
σWC1, σWC2 |
= |
longitudinal stress due to vertical wave bending moments |
σHC1, σHC2
|
= |
longitudinal stress due to horizontal wave bending moments |
σSTC
|
= |
longitudinal warping stress due to static cargo torque |
σWTC1, σWTC2
|
= |
longitudinal warping stress due to hydrodynamic torques |
other symbols are as defined in Pt 4, Ch 8, 15.3 Design loadings and
Pt 4, Ch 8, 15.4 Combined stress.
15.4.3 For ships with a beam greater than 32,26 m, longitudinal stresses are to be
calculated using a finite element model of the entire hull in accordance with Part A of
the LR’s ShipRight SDA procedure for container ships.
15.4.4 For ships with a beam less than or equal to 32,26 m, the longitudinal
stresses may be obtained as follows:
σSC
|
= |
|
σWC
|
= |
|
σHC1
|
= |
|
σHC2
|
= |
|
σWTC1, σWTC2 and σSTC are to be evaluated by approved calculation procedures.
C
7
|
= |
coefficient for shear lag depending on vertical location of
the point under consideration |
= |
0,6 at inboard edge of strength deck |
= |
1,0 at base line |
= |
intermediate positions by interpolation |
Z
y and Z
z are
given in Pt 4, Ch 8, 15.2 Symbols and definitions 15.2.1.
15.4.5 At
each section the stresses are to be calculated on the port and starboard
sides, at:
-
the inboard edge
of the strength deck;
-
the point on
the bilge where the combined stress is greatest; and
-
the top of continuous
hatch coaming (where fitted).
15.4.6 Where the ship’s length is greater than 425 m or the ship’s beam is greater
than 60 m, the vertical wave bending moments, horizontal wave bending moments and
hydrodynamic torques are to be obtained from a direct calculation method. Alternatively,
the hull stresses may be obtained using a probabilistic approach response-based analysis
method considering the ship’s responses in wave environment. The analysis method is to
be agreed with LR.
15.5 Permissible stress
15.5.1 The
maximum tensile or compressive combined stress σc at
any position along the length is not to be more than indicated in Table 8.15.4 Permissible stress.
Table 8.15.4 Permissible stress
Position
|
Permissible combined
stress, N/mm2
|
Top of continuous hatch
coaming
|
|
Elsewhere
|
|
|