Università degli Studi di Napoli "Parthenope"

Teaching schedule

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Belonging course: 
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Year of study: 
Second semester
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Course description

Educational objectives: they are mainly related to the assessment of the ship geometrical properties, starting from its body plan. Subsequently, the course focuses on all topics related to the equilibrium and stability of equilibrium of free-floating bodies and ships, also with reference to the intact stability criteria and the employment of the ship stability booklet. Finally, the student shall be capable of describing the main components of the hull resistance in calm water.

Knowledge and understanding: Students shall prove to know the main topics related to the assessment and evaluation of equilibrium conditions and stability of equilibrium for free-floating bodies, as well as the main components of ship resistance in calm water.

Ability to apply knowledge and understanding: Students shall prove to apply the acquired topics and theoretical proficiencies, required to evaluate the equilibrium conditions, the stability of equilibrium of free-floating bodies, as well as the main components of ship resistance in calm water.

Judgment autonomy: Students shall autonomously evaluate and assess the ship stability, applying the best resolutions to increase it.

Communicative Skills: Students shall acquire the skill of presenting a numerical application about the main topics of Naval Architecture, such as the ship hydrostatic calculations, and correctly applying the scientific language.

Learning Skills: Students shall be capable of continuously update their skills, by reading books, articles and rules (mainly in English), in order to acquire a good capacity of enhancing the own knowledge in the field of Naval Architecture.


Even if not mandatory, it is suggested to have passed the exams of Mathematics I and Physics I.


The course furnishes the basic elements concerning the hull geometry, with particular reference to the equilibrium and the stability of equilibrium of free-floating bodies. Besides, it furnishes all the mathematical proficiencies required to carry out and apply the ship upright hydrostatics. The second part of the course, instead, focuses on the basics of ship dynamics in calm water, with reference to the assessment of the main components affecting the ship resistance.

The course furnishes some competencies required by the STCW Convention, as amended, for Deck Officers and Marine Engineers at Operational Level, embodied in the MIT decree dated 19th December 2016, namely “Percorso formativo per accedere alle figure professionali di Allievo Ufficiale di Coperta e Allievo Ufficiale di Macchina”.

Particularly, the course furnishes the following competencies, listed in the Attachment I of the above-mentioned decree, for Deck Officer Cadets:
C.1: Stability of equilibrium and trim;
C.2: Incidence of loads on navigation and ship stability;
C.3: Intact stability.

Besides, the course furnishes the following competencies, listed in the Attachment II of th above-mentioned decree, for Marine Engineer Cadets:
M.1: Stability of equilibrium and trim;
M.2: Intact stability.
Further details about the acquired competencies are furnished in the extended version of the programme.

Basic hydrostatics (C.1/M.1): definition and physical properties of fluids; units of measure and fundamental laws of hydrostatics; centre of mass and moments of inertia; principal and central exes of inertia; approximate integration techniques: Bezout and Simpson methods.

Basics of ship geometry (C.1/M.1): main parts of the ship; basic nomenclature; main dimensions and characteristic parameters; displacement and ship centre of mass; net weight and deadweight of a ship.

The ship hull forms (C.1/M.1): the body plan; affinity and similitude ratios; hull forms development from a systematic series.

Equilibrium and stability of equilibrium of free-floating bodies (C.1/M.1): Archimede’s law; stable, unstable and neutral equilibrium; transverse and longitudinal metacentric heights; static stability diagram.

Some applications concerning the hull body plan (C.1/M.1): detection and drawing of an upright or inclined waterplane.
Upright hydrostatics (C.1/M.1): evaluation of the geometrical parameters of a waterplane area; evaluation of the volume and centre of volume coordinates; upright hydrostatics; hydrostatic diagrams.

Incidence of weights on the equilibrium and stability of equilibrium (C.2): relocation, loading and unloading operations of loads.

Ship stability (C.3/M.2): IMO intact stability criteria; weather criterions; inclining test; stability booklet on ship stability; the ship freeboard and the ILLC International Convention.

Basics of the hull resistance: fluid cinematics; basics of dimensional analysis; fully submerged bodies; Bernoulli theorem and applications; laminar and turbulent flows; limit layer; basics about the resistance and lifting components; main components of the ship resistance in calm water; viscous resistance and Reynolds number; wave resistance and Froude number; basics about the Froude method and introduction to the experimental tests for ship powering.

Teaching Methods

Frontal lessons, discussion of case studies, reading of the main national and international rules.


The teaching material consists of:
- Reference books in Italian and English;
- Technical Rules in English.

Learning assessment

The exam consists of verifying the achievement of the previously defined educational goals, by an oral examination during which a numerical application, which is generally relative to the ship hydrostatic calculations, is fully discussed.

More information

Not applicable