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Numerical Methods and Information Technology in Construction
Major: Hydrotechnical Construction, Water Engineering and Water Technologies
Code of subject: 6.194.00.O.015
Credits: 6.00
Department: Bridges and Structural Mechanics
Lecturer: PhD, docent, Stasiuk B. M.
Semester: 2 семестр
Mode of study: денна
Завдання: the ability to solve complex specialized problems and solve practical issues in the field of construction and civil engineering, characterized by the complexity and uncertainty of conditions, based on the application of basic theories and methods of applied sciences;
ability to abstract thinking, analysis and synthesis;
ability to use information and communication technologies;
the ability to use computerized design systems and specialized application software to solve engineering problems in construction and civil engineering.
Learning outcomes: PH01. Apply basic theories, methods, and principles of mathematical, natural, social, humanistic, and economic sciences, modern models, methods, and decision-making support software to solve complex construction and civil engineering problems.
PH02. Participate in research and development in the field of architecture and construction.
PH03. Present the results of one's own work and argue one's position on professional issues to specialists and non-specialists, communicating freely in the state and foreign languages.
PH06. Apply modern information technologies to solve engineering and management problems of construction and civil engineering.
PH08. Rational use of modern construction materials, products and structures based on knowledge of their technical characteristics and manufacturing technology.
ЗН1. Conceptual scientific and practical knowledge, critical understanding of theories, principles, methods and concepts in the field of professional activity and/or education.
UM1. Advanced cognitive and practical skills/skills, mastery and innovation at the level necessary to solve complex specialized tasks and practical problems in the field of professional activity or study.
KOM1. Conveying information, ideas, problems, solutions, own experience and arguments to specialists and non-specialists.
KOM2. Collection, interpretation and application of data.
AiB3. Formation of judgments that take into account social, scientific and ethical aspects.
AiB4. Organization and management of professional development of individuals and groups.
AiB5. Ability to continue learning with a significant degree of autonomy.
Required prior and related subjects: Higher mathematics.
Theoretical mechanics.
Strength of Materials (general rate)
Construction mechanics
Theory of elasticity
Summary of the subject: The course "Numerical methods and information technologies in construction" belongs to general courses studied by bachelors of construction specialties. It is based on the knowledge obtained during the study of the disciplines "Higher Mathematics", "Physics", "Theoretical Mechanics". The course is aimed at developing students' skills in using modern numerical methods for calculating complex engineering structures. The main attention is paid to the theory and practical application of the finite element method. This discipline makes it possible to get acquainted with the basics of calculating complex structures and structures that are in conditions of complex resistance. It also makes it possible to assess the accuracy of the results obtained by the methods of resistance of materials, the theory of elasticity and plasticity. The study of the basics of the finite element method expands the range of studied objects (plates, shells, arrays) that are widely used in construction. Simple and effective implementation on a computer using the integrated EEMAR system. This system does not require knowledge of programming languages and the creation of special programs for solving problems on a computer. At the same time, its use develops algorithmic thinking skills, instills the ability to build and analyze algorithms for solving various tasks. The complex aims to help students master the algorithms of the finite element method, which are used in the design and construction and organizational and management activities of a civil engineer. In addition, proper mastering of knowledge of numerical methods of solving problems is a necessary condition for successful performance of calculation and design works when studying disciplines related to both the calculation and design of load-bearing structures of building structures, as well as the organization, planning and management of construction production.
Опис: Introduction to numerical methods of solving problems. Basic concepts and rules of approximate calculations. The influence of errors in the implementation of numerical methods.
Physical value and means of its measurement. The value of a physical quantity. Errors of physical quantities. Systematic errors. Random errors. Calculation of errors during direct measurements.
Rounding error during calculations on a floating point computer. Calculation of absolute and relative errors in indirect measurements. Rounding rules in approximate calculations. The inverse problem of error theory.
The concept of internal forces and stresses.
The concept of deformations. Linear and angular deformations.
Basic relations of the theory of elasticity.
Basic concepts of the finite element method.
General characteristics of methods for solving systems of linear algebraic equations.
Solving systems of linear equations of large dimensions.
Construction of the stiffness matrix of a finite element with two degrees of freedom. Construction of a global mastic of stiffness of a system of one-dimensional elements. Stiffness matrix of an element with four degrees of freedom.
Rod finite element. Construction of the global stiffness mastic of a two-dimensional truss.
Numerical differentiation.
Numerical methods of approximation of functions. Interpolation and extrapolation. Approximation.
Numerical integration of functions of one variable
Assessment methods and criteria: Evaluation of the student's current control is carried out based on the result of successful performance and defense of laboratory work and calculation and graphic work, for part-time students - performance of control work. The form of semester control is an exam.
Критерії оцінювання результатів навчання: Performance and successful defense of laboratory work (20 points)
Performing graphic and calculation work (20 points)
Exam (60 points)
Порядок та критерії виставляння балів та оцінок: 100–88 points – (“excellent”) is awarded for a high level of knowledge (some inaccuracies are allowed) of the educational material of the component contained in the main and additional recommended literary sources, the ability to analyze the phenomena being studied in their interrelationship and development, clearly, succinctly, logically, consistently answer the questions, the ability to apply theoretical provisions when solving practical problems; 87–71 points – (“good”) is awarded for a generally correct understanding of the educational material of the component, including calculations, reasoned answers to the questions posed, which, however, contain certain (insignificant) shortcomings, for the ability to apply theoretical provisions when solving practical tasks; 70 – 50 points – (“satisfactory”) awarded for weak knowledge of the component’s educational material, inaccurate or poorly reasoned answers, with a violation of the sequence of presentation, for weak application of theoretical provisions when solving practical problems; 49-26 points - ("not certified" with the possibility of retaking the semester control) is awarded for ignorance of a significant part of the educational material of the component, significant errors in answering questions, inability to apply theoretical provisions when solving practical problems; 25-00 points - ("unsatisfactory" with mandatory re-study) is awarded for ignorance of a significant part of the educational material of the component, significant errors in answering questions, inability to navigate when solving practical problems, ignorance of the main fundamental provisions.
Recommended books: 1. Andrunyk V.A.. Vysotska V.A.. Pasichnyk V.V.. Chirun L.B.. Chirun L.V. Numerical methods in computer sciences. L.: Novyj svit. 2017. - 471 p.
2. Danylovich V. Kutny M. Numerical methods. - L.: Katvariya. 1998. - 222 p.
3. Danylovich V. Numerical methods in problems and exercises: Education. manual — Kyiv: ISDO. 1995. - 248 p.
4. Kossak O. Tumashova O. Kossak O. Methods of approximate calculations: Education. manual -L.: BaK. 2003.-168 p.
5. Feldman L. P., Petrenko A. I., Dmytrieva O. A. Numerical methods in computer science. - K.: Publishing group of VNU. 2006. - 480 p.
6. Rudakov K.N. FEMAP 10.2.0. Geometric and finite element modeling of structures. - K.: KPI, 2011. -317 p.
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