SOME PROBLEMS ABOUT THE STABILITY OF WATERCRAFT IN THE COURSES OF THEORETICAL AND APPLIED MECHANICS
Abstract
The aim of the article is to develop and test a methodology for solving some problems about the stability of watercraft for practical classes and computational and graphic work on the courses of theoretical and applied mechanics for students of the specialty 271 "Sea and Inland Water Transport".
On the basis of the provisions of the theory of initial static stability of ships, the problems of calculating the initial transverse metacentric height of a watercraft with a hull in the form of a rectangular parallelepiped and the construction of its metacentric diagrams, as well as the problems of calculating the height of the center of mass of cargo above the deck of the watercraft at a given value of its transverse metacentric height are considered. The analytical calculation dependencies necessary for solving the proposed problems are presented, calculations for which were carried out using Microsoft Excel.
Approbation of methods for solving problems was carried out on the example of a steel pontoon with a carrying capacity of 100 kN, the body of which weighing P = 20.8 kN has the shape of a rectangular parallelepiped with dimensions of 2.4×0.9×9.0 m.
The results of the calculations are presented in the form of tables and graphs of dependencies: pontoon draught, application of the center of magnitude, center of gravity, metacenter, metacentric radius and metacentric height of the pontoon from the weight of the cargo at a given height of its location above the deck; the height of the location of the center of gravity of the cargo above the deck depending on the specified metacentric height and weight of the cargo. An analysis of the estimated data has been carried out. The sequence of determining the stability parameters on the basis of the graphs of the metacentric pontoon diagram is described.
It is concluded that it is expedient to use the proposed calculation methods for practical classes and computational and graphic works on theoretical and applied mechanics with students of the specialty "Maritime and Inland Water Transport".