2.1 Design standard A
2.1.1
Designs for cut outs in cases where web stiffeners are omitted or not
connected to the longitudinals are required to adopt tight collar or the improved design
standard “
A” as shown in Table 1 or equivalent, for the following members:
- Side shell below 1.1Tsc.
- Bottom.
- Inner hull longitudinal bulkhead below 1.1Tsc.
- Topside tank sloping plating below 1.1Tsc.
- Hopper.
- Inner bottom.
2.1.2
Designs that are different from those shown in Table 1 are acceptable subject
to demonstration of satisfactory fatigue performance, e.g. by using comparative finite
element analysis. The comparative FE analysis is to be performed following the modelling
guidance given in Figure 1.
Figure 1 : Finite element model for verification of equivalent design
2.2 Equivalent design of stiffener-frame connections
2.2.1
If the required designs for stiffener-frame connections in [2.1] are not followed, the
alternative design is to be verified to have equivalent fatigue strength to the design
standard “A” or to be verified to have satisfactory fatigue performance. The alternative
design is to be verified according to the procedure given in [2.2.2] to [2.2.5] and
documentation of results is to be submitted to the Society.
2.2.2 The procedure of [2.2.3] and [2.2.4] is provided to verify the alternative
design to have equivalent fatigue strength with respect to any position in the
transverse ring, i.e. double bottom and double side. The hot spot stress of the
alternative design and that of the required design is to be compared to the critical hot
spots in way of the cut-out. The critical hot spots depend on the detail design and are
to be selected in agreement with the Society. The hot spot stress is to be derived
according to Ch 9, Sec 5, [3.1] and Ch 9, Sec 5, [3.2]. It is to be noted that welded
hot spots at the free edge are classified as hot spot type “b”. Example of typical hot
spots for checking is shown in Ch 9, Sec 2, [2].
Table 1 : Design standard A –
stiffener-frame connection
2.2.3
The very fine mesh finite element models are made to analyse the behaviour in way of
double side or double bottom. The models should have an extent of 3 stiffeners in cross
section, i.e. 4 stiffener spacings, and the longitudinal extent is to be one half frame
spacing in both forward and aft direction. A typical model is shown in Figure 1. No
cut-outs for access openings are to be included in the models. Connection between the
lug or the web-frame to the longitudinal stiffener web, connections of the lug to the
web-frame and free edges on lugs and cut-outs in web-frame are to be modelled with
elements of net plate thickness size (tn50 × tn50).
The mesh with net plate thickness size should extend at least five elements in all
directions. Outside this area, the mesh size may gradually be increased in accordance
with the requirements in Ch 9, Sec 5, [2]. The eccentricity of the lapped lug plates is
to be included in the model. Transverse web and lug plates are to be connected by
eccentricity elements (transverse plate elements). The height of eccentricity element is
to be the distance between mid-layers of transverse web and lug plates having a
thickness equal to 2 times the net thickness of web-frame plate
tw-n50. Eccentricity elements representing fillet welds are shown in
Figure 2.
Figure 2 : Modelling of eccentric lug plate by shell elements
2.2.4 Three load cases are to be applied to the models of the design standard and
alternative designs:
- External pressure of unit value, fixed boundary conditions at top and bottom of
model.
- Shear stress by prescribed unit displacement at the model top and fixed boundary
conditions at the model bottom.
- Axial load by prescribed unit displacement at the model top and fixed boundary
conditions at the model bottom.
The forward and aft part of the model should have symmetry condition describing the
behaviour in a double hull structure. Load application and boundary conditions are
provided in Figure 3.
2.2.5
The alternative design may also be verified to have satisfactory fatigue performance
using sub-modelling technique where a very fine mesh model of the alternative design
located at the actual position of the stiffener-frame connection is analysed. The
alternative design is considered acceptable if the fatigue acceptance criterion of Ch 9,
Sec 1 is achieved. The fatigue acceptance criterion is checked by applying the
methodology described in Ch 9, Sec 1, Ch 9, Sec 3 and Ch 9, Sec 5. The alternative
design is considered acceptable only for the particular position where it is
analysed.
Figure 3 Load application and boundary conditions – FE model for verification of
alternative design