Section 6 Evaluation of
structure for sloshing and impact loads
6.1 Symbols
6.1.1 The symbols used in this Chapter are defined as follows:
L
|
= |
Rule length, in metres |
L2
|
= |
Rule length, L, but need not be taken greater than 300 m |
B
|
= |
moulded breadth, in metres |
D
|
= |
moulded depth, in metres |
σyd
|
= |
specified minimum yield stress of the material, in
N/mm2
|
τyd
|
= |
N/mm2
|
s
|
= |
stiffener spacing, in mm |
P
|
= |
design pressure for the design load set being considered, in
N/mm2
|
6.3 Sloshing in tanks
6.3.1
Scope and limitations.
- The requirements of the LR ShipRight Procedure for Ship Units
specify the methodology in assessing the scantling requirements for boundary
and internal structure of tanks subject to sloshing loads, due to the free
movement of liquid in tanks.
- The structure of cargo tanks, slop tanks, ballast tanks and large
deep tanks, e.g. fuel oil bunkering tanks and main fresh water tanks, is to be
assessed for sloshing. Small tanks do not need to be assessed for sloshing
pressures.
- All cargo and ballast tanks are to have scantlings suitable for
unrestricted filling heights.
- The following structural members are to be assessed:
- plates and stiffeners forming boundaries of tanks;
- plates and stiffeners on wash bulkheads;
- web plates and web stiffeners of primary support members
located in tanks;
- tripping brackets supporting primary support members in
tanks.
6.4 Bottom slamming
6.4.1
Application.
- Where the minimum draughts forward, TFP-mt
or TFP-full
, as specified in Pt 10, Ch 2 Loads and Load Combinations, is less than 0,045L, the
bottom forward is to be additionally strengthened to resist bottom slamming
pressures.
- For self-propelling units with conventional single screw,
ship-type aft sections, additional strengthening against aft slamming will not
normally be required. For units with full deep aft sections, strengthening to
resist bottom slamming should be applied over 0,3L aft, using the
requirements of Pt 10, Ch 3, 6.4 Bottom slamming 6.4.3 and Pt 10, Ch 3, 6.4 Bottom slamming 6.4.4 and the applicable draughts aft. Units
with raised or unusual sections aft that may be susceptible to slamming will be
specially considered, using the requirements of Pt 4, Ch 2, 4.3 Strengthening for wave impact loads and Pt 4, Ch 2, 5.2 Strengthening for wave impact loadsof the Rules for Ships.
- The draughts for which the bottom has been strengthened are to be
indicated on the shell expansion plan and loading guidance information, see
Pt 10, Ch 3, 1.2 Loading guidance.
- The section modulus and web thickness of the local support
members apply to the areas clear of the end brackets. The cross-sectional shear
areas of primary support members are to be applied as required by Pt 10, Ch 3, 6.4 Bottom slamming 6.4.7 and Pt 10, Ch 3, 6.4 Bottom slamming 6.4.7.
- For harsh service, special consideration should be given to
strengthening of bottom forward in relation to the actual forces determined
from model tests and/or direct calculations.
6.4.2
Extent of strengthening.
- The strengthening is to extend forward of 0,3L from the
F.P. over the flat of bottom and adjacent plating with attached stiffeners up
to a height of 500 mm above the baseline, see Pt 10, Ch 3, 6.4 Bottom slamming 6.4.2.
Figure 3.6.1 Extent of
strengthening against bottom slamming
- Outside the region strengthened to resist bottom slamming, the
scantlings are to be tapered to maintain continuity of longitudinal and/or
transverse strength.
6.4.3
Design to resist bottom slamming loads.
- The design of end connections of stiffeners in
the bottom slamming region is to ensure end fixity, either by making the
stiffeners continuous through supports or by providing end brackets. Where it
is not practical to comply with this requirement, the net plastic section
modulus, Zpl-alt-net
, for alternative end fixity arrangements is not to be less than:
Zpl-alt-net
|
= |
cm3
|
where
fbdg
|
= |
bending moment factor |
= |
|
ns
|
= |
0 for both ends with low end fixity (simply
supported) |
= |
1 for one end equivalent to built in and one end simply
supported. |
- Scantlings and arrangements at primary support members, including
bulkheads, are to comply with Pt 10, Ch 3, 6.4 Bottom slamming 6.4.7.
6.4.4
Hull envelope plating.
- The net thickness of the hull envelope plating, tnet
, is not to be less than:
tnet
|
= |
mm |
where
αp
|
= |
correction factor for the panel aspect ratio |
= |
but not to be taken as greater than 1,0 |
lp
|
= |
length of plate panel, to be taken as the spacing
between primary support members or panel breakers, in metres |
Cd |
= |
plate capacity correction coefficient |
= |
1,3 |
Ca |
= |
permissible bending stress coefficient |
= |
1,0 for acceptance criteria set AC3. |
6.4.5
Hull envelope stiffeners.
- The net plastic section modulus,
Zpl-net
, of each individual stiffener, is not to be less than:
Zpl-net
|
= |
cm3
|
where
lbdg
|
= |
effective bending span, in metres |
fbdg
|
= |
bending moment factor |
= |
|
Cs
|
= |
permissible bending stress coefficient |
= |
0,9 for acceptance criteria set AC3. |
- The net web thickness, tw-net
, of each longitudinal is not to be less than:
tw-net
|
= |
mm |
where
lshr
|
= |
effective shear span, in metres |
dshr
|
= |
effective web depth of stiffener, in mm |
Ct
|
= |
permissible shear stress coefficient |
= |
1,0 for acceptance criteria set AC3. |
6.4.7
Primary support members.
- The size and number of openings in web plating
of the floors and girders are to be minimised, considering the required shear
area as given in Pt 10, Ch 3, 6.4 Bottom slamming 6.4.7.
- The net shear area, Ashr-net50
, of each primary support member web at any position along its span is not
to be less than:
Ashr-net50
|
= |
cm2
|
where
Qslm
|
= |
the greatest shear force due to slamming for the
position being considered, in kN, based on the application of a patch
load, Fslm
, to the most onerous location, as determined in accordance with
Pt 10, Ch 3, 6.4 Bottom slamming 6.4.7
|
Ct
|
= |
permissible shear stress coefficient |
= |
0,9 for acceptance criteria set AC3. |
- For simple arrangements of primary support
members, where the grillage effect may be ignored, the shear force,
Qslm
, is given by:
where
fpt
|
= |
correction factor for the proportion of patch load
acting on a single primary support member |
= |
0,5 (fslm
3 – 2fslm
2 + 2) |
fslm
|
= |
patch load modification factor |
= |
, but not to be greater than 1,0 |
lslm
|
= |
extent of slamming load area along the span |
= |
m, but not to be greater than lshr
|
lshr
|
= |
effective shear span, in metres |
bslm
|
= |
breadth of impact area supported by primary support
member |
= |
m, but not to be greater than S
|
S
|
= |
primary support member spacing, in metres. |
Figure 3.6.2 Distribution of fdist
along the span of simple primary support members
- For complex arrangements of primary support
members, the greatest shear force, Qslm
, at any location along the span of each primary support member is to be
derived by direct calculation in accordance with Pt 10, Ch 3, 6.4 Bottom slamming 6.4.7.
Table 3.6.1 Direct calculation
methods for derivation of Qslm
Type of
analysis
|
Beam theory
|
Double bottom
grillage
|
Model extent
|
Overall span of member between
effective bending supports
|
Longitudinal extent to be one cargo tank
length
Transverse extent to be between inner hopper
knuckle and centreline
|
Assumed end fixity of floors
|
Fixed at ends
|
Floors and girders to be fixed at
boundaries of the model
|
NOTE
The envelope of greatest shear
force along each primary support member is to be derived by
applying the load patch to a number of locations along the
span, see
Pt 10, Ch 3, 6.4 Bottom slamming 6.4.7.
|
- The net web thickness, tw-net
, of primary support members adjacent to the shell is not to be less than:
tw-net
|
= |
mm |
where
sw
|
= |
plate breadth, in mm, taken as the spacing between the
web stiffening. |
6.5 Bow impact
6.5.1
Application.
- The side structure in the area forward of 0,1L from the FP
is to be strengthened against bow impact pressures.
- The section modulus and web thickness of the local support members
apply to the areas clear of the end brackets. The section modulus of the
primary support member is to apply along the bending span clear of end brackets
and cross-sectional areas of the primary support member are to be applied at
the ends/supports and may be gradually reduced along the span and clear of the
ends/supports following the distribution of fdist
indicated in Pt 10, Ch 3, 6.4 Bottom slamming 6.4.7.
6.5.2
Extent of strengthening.
- The strengthening is to extend forward of
0,1L from the FP and vertically above the minimum design light load
draught, TLT
, see Pt 10, Ch 3, 6.5 Bow impact 6.5.2.
Figure 3.6.3 Extent of
strengthening against bow impact
- Outside the strengthening region, as given in Pt 10, Ch 3, 6.5 Bow impact 6.5.2, the scantlings are to be tapered to
maintain continuity of longitudinal and/or transverse strength.
6.5.3
Design to resist bow impact loads.
- In the bow impact region, longitudinal framing is to be carried as
far forward as practicable.
- The design of end connections of stiffeners in the bow impact
region are to ensure end fixity, either by making the stiffeners continuous
through supports or by providing end brackets. Where it is not practical to
comply with this requirement, the net plastic section modulus,
Zpl-alt-net
, for alternative end fixity arrangements is not to be less than:
Zpl-alt-net
|
= |
cm3
|
where
fbdg
|
= |
bending moment factor |
= |
|
ns
|
= |
0 for both ends with low end fixity (simply
supported) |
= |
1,0 for one end equivalent to built-in and one end
simply supported. |
- Scantlings and arrangements at primary support members, including
decks and bulkheads, are to comply with Pt 10, Ch 3, 6.5 Bow impact 6.5.7. In areas of greatest bow impact load, the
adoption of web stiffeners arranged perpendicular to the hull envelope plating
and the provision of double sided lug connections are, in general, to be
applied.
- The main stiffening direction of decks and bulkheads supporting
shell framing is to be arranged parallel to the span direction of the supported
shell frames, to protect against buckling.
6.5.4
Side shell plating.
- The net thickness of the side shell plating, tnet
, is not to be less than:
tnet
|
= |
|
where
αp
|
= |
correction factor for the panel aspect ratio |
= |
but is not to be taken as greater than 1,0 |
lp
|
= |
length of plate panel, to be taken as the spacing
between the primary support members, or panel breakers, in metres |
Ca
|
= |
permissible bending stress coefficient |
= |
1,0 for acceptance criteria set AC3. |
6.5.5
Side shell stiffeners.
- The effective net plastic section modulus, Zpl-net
, of each stiffener, in association with the effective plating to which it
is attached, is not to be less than:
Zpl-net
|
= |
cm3
|
where
llbdg
|
= |
effective bending span, in metres |
fbdg
|
= |
bending moment factor |
= |
|
Cs
|
= |
permissible bending stress coefficient |
= |
0,9 for acceptance criteria set AC3. |
- The net web thickness, tw-net
, of each stiffener is not to be less than:
tw-net
|
= |
mm |
where
lshr
|
= |
effective shear span, in metres |
dshr
|
= |
effective web depth of stiffener, in mm |
= |
permissible shear stress coefficient |
= |
1,0 for acceptance criteria set AC3. |
- The minimum net thickness of breasthooks/ diaphragm plates,
tw-net
, is not to be less than:
tw-net
|
= |
mm |
where
s
|
= |
spacing of stiffeners on the web, in mm. Where no
stiffeners are fitted, s is to be taken as the depth of the
web. |
6.5.6
Definition of idealised bow impact load area for primary support members.
- The scantlings of items in Pt 10, Ch 3, 6.5 Bow impact 6.5.7 are based on the application of the bow
impact pressure to an idealised area of hull envelope plating, where the bow
impact load area, Aslm
, is given by:
Aslm
|
= |
m2
|
6.5.7
Primary support members.
- Primary support members in the bow impact region are to be
configured to ensure effective continuity of strength and the avoidance of hard
spots.
- To limit the deflections under extreme bow impact loads and
ensure boundary constraint for plate panels, the spacing, S, measured
along the shell girth of web frames supporting longitudinal framing or
stringers supporting transverse framing is not to be greater than:
- End brackets of primary support members are to be suitably
stiffened along their edge. Consideration is to be given to the design of
bracket toes to minimise abrupt changes of cross-section.
- Tripping brackets are to be fitted where the primary support
member flange is knuckled or curved. The torsional buckling mode of primary
support members is to be controlled by flange supports or tripping brackets.
The un - supported length of the flange of the primary support member, i.e. the
distance between tripping brackets, sbkt
, is not to be greater than:
sbkt
|
= |
m, but need not be less than sbkt-min
|
where
bf
|
= |
breadth of flange, in mm |
C
|
= |
slenderness coefficient: |
= |
0,022 for symmetrical flanges |
= |
0,033 for one-sided flanges |
Af-net50
|
= |
net cross-sectional area of flange, in cm2
|
Aw-net50
|
= |
net cross-sectional area of the web plate, in
cm2
|
- The net section modulus of each primary support member,
Znet50
, is not to be less than:
Znet50
|
= |
cm3
|
where
fbdg-pt
|
= |
correction factor for the bending moment at the ends and
considering the patch load |
= |
3fslm
3 – 8fslm
2 + 6fslm
|
fslm
|
= |
patch load modification factor |
= |
|
lslm
|
= |
extent of bow impact load area along the span |
= |
m, but not to be taken as greater than
lbdg
|
lbdg
|
= |
effective bending span, in metres |
bslm
|
= |
breadth of impact load area supported by the primary
support member, to be taken as the spacing between primary support
members, but not to be taken as greater than lslm
, in metres |
fbdg
|
= |
bending moment factor |
= |
12 for primary support members with end fixed continuous
face-plates, stiffeners or where stiffeners are bracketed at both
ends |
Cs
|
= |
permissible bending stress coefficient |
= |
0,8 for acceptance criteria set AC3. |
- The net shear area of the web, Ashr-net50
, of each primary support member at the support/toe of end brackets is not
to be less than:
Ashr-net50
|
= |
cm2
|
where
fpt
|
= |
patch load modification factor |
= |
|
lslm
|
= |
extent of bow impact load area along the span |
= |
m,
but not to be taken as greater
than lshr
|
lshr
|
= |
effective shear span, in metres |
bslm
|
= |
breadth of impact load area supported by the primary
support member, to be taken as the spacing between primary support
members, but not greater than lslm
, in metres |
Ct
|
= |
permissible shear stress coefficient |
= |
0,75 for acceptance criteria set AC3. |
- The net web thickness of each primary support member,
tw-net
, including decks/bulkheads in way of the side shell, is not to be less
than:
tw-net
|
= |
mm |
where
bslm
|
= |
breadth of impact load area supported by the primary
support member, to be taken as the spacing between primary support
members, but not greater than lslm
, in metres |
ϕw
|
= |
angle, in degrees, between the primary support member
web and the shell plate |
σcrb
|
= |
critical buckling stress in compression of the web of the
primary support member or deck/bulkhead panel in way of the applied
load, in N/mm2. |
|