Marine Structures 70 (2020) 102688
Available online 8 November 2019
0951-8339/© 2019 Elsevier Ltd. All rights reserved.
Uncertainties estimates of hull girder still water loads of bulk and
dry cargo ships through Monte Carlo simulations
Tomaso Gaggero, Marco Gaiotti, Cesare Mario Rizzo
*
University of Genova, Polytechnic School, DITEN, Polo Navale, via Montallegro, 1, I-16145, Genova, Italy
A R T I C L E INFO
Keywords:
Hull girder strength
Still water loads
Loading conditions
Uncertainties
Monte Carlo simulations
ABSTRACT
This paper deals with the estimate of uncertainties affecting still water hull girder loads of bulk
and dry cargo ships. In strength assessment of ships, two main categories of acting loads are
considered: still water loads and wave induced ones. While the latter are generally defned
bearing in mind their stochastic nature, this is not the case for still water loads, which are
basically deterministically considered. The underlying assumption is that there is an overall
control of the operational profle during the service of a ship. However, this is not the case in
actual fact, especially for general dry cargo ships and bulk carriers, since the loading/unloading
process cannot be fully controlled by the crew, often resulting into loading conditions rather
different from those planned by the designer. Based on an earlier work, where loading conditions
of the above-mentioned ship types were statistically analyzed, in the present paper Monte Carlo
simulations are used to estimate the uncertainties affecting the hull girder still water loads of
ships in service, showing that their allowable values can be exceeded due to inaccuracies in ship
and cargo management.
1. Introduction
As a matter of fact, hull girder still water loads are to be provided by the designer and summed up to rule wave-induced loads in
order to assess the hull girder strength according to classifcation societies rules.
It is common understanding that hull girder still water loads are well known and their estimates are only marginally touched upon
by uncertainties. In fact, relevant partial safety factors are generally set to unity, as e.g. γ
s
¼ 1.00 in RINA rules for the classifcation of
ships [1], meaning that no uncertainties are considered affecting such loading parameter and they are considered as deterministic
variables. Instead, larger uncertainties are taken into account when assessing wave loads, and partial safety factors are applied
accordingly.
However, reality could be somewhat different, especially for a few ship types such as dry bulk carriers or general cargo ships.
Indeed, the actual scenario is much more complex than that described in rules, because of the complexity of cargo loading and
unloading operations. It is of interest to assess such uncertainties in order to obtain adequate knowledge of the phenomena and to
reduce the gap between design assessments and reality. Hence, contributing to improve reliability and effectiveness of shipping.
While loading conditions of all ships are described in their loading manuals, duly approved by the Flag Administrations or by
classifcation societies on their behalf, the actual longitudinal weight distribution of a ship at departure and at arrival of a voyage leg is
* Corresponding author.
E-mail addresses: tomaso.gaggero@unige.it (T. Gaggero), marco.gaiotti@unige.it (M. Gaiotti), cesare.rizzo@unige.it (C.M. Rizzo).
Contents lists available at ScienceDirect
Marine Structures
journal homepage: http://www.elsevier.com/locate/marstruc
https://doi.org/10.1016/j.marstruc.2019.102688
Received 9 January 2019; Received in revised form 6 August 2019; Accepted 26 October 2019