Universal web interface for online calculation of hydrostatic pressure force using the K123 meth-od

The author's method of three K123 commands allows you to obtain universal functional dependencies for determining the force of hydrostatic pressure, which optimize modern computer calculations. The implementation of the K123 method allows you to improve and simplify the use of the web interface for online calculations on the Internet as much as possible. Using the example of a simple test problem – determining the force of hydrostatic pressure on a flat rectangular surface – client-server online calculations on the Internet with a universal web form for inputting initial data, which provides all possible options for sets of five initial parameters for this type of problem, have been developed. Open access to the online program at the link - https://www.k123.org.ua/en/juffsrc2.html. Based on the author's method of three commands K123 (с) Kopanytsia Yu. 2008, two universal formulas for determining the parameters of the hydrostatic pressure force vector were obtained. The algorithmic complexity of the software implementation of the presented algorithm was simplified due to new universal formulas. The features of implementing a single simplified universal web form for data entry eliminate the difficulties of a large number of variable interactive data entry, which is associated with the presence of manometric or vacuum pressure on the free surface of the liquid, the presence of a layer of water above the upper surface and changes in its level. Existing standard algorithms allow us to calculate only the depth of immersion of the center of pressure relative to the level of the free surface of the liquid, which requires additional calculations for binding to the local coordinate system relative to our stationary surface. The proposed universal calculation formulas allow you to build graphs of 2D and 3D visualization spectra of pressure force parameters and pressure center coordinates at variable head in a local coordinate system, the origin of which, unlike the standard algorithm, is tied to the fixed lower face of the object. Universal formulas allow you to instantly obtain an accurate solution depending on the full sample of five variable output parameters. The proposed algorithm and two universal formulas allow you to model different operating modes of structures and the corresponding parameters of the hydrostatic pressure force vector, using a single, publicly available simplified web interface for online calculations on the Internet, in computer mathematics systems or on a calculator. The introduction of universal calculation formulas based on the “Three Command Method K123” into the educational process (с) Kopanytsya Yu. 2008 allows to simplify the implementation of modern computer technologies, expand the use of analytical and numerical methods and modeling elements in the educational process.