Сопротивление материалов / STRENGTH OF MATERIALS : учебное пособие на английском языке (290,00 руб.)

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МИНИCTEPCTBO ОБРАЗОВАНИЯ И НАУКИ РОССИЙСКОЙ ФЕДЕРАЦИИ ФЕДЕРАЛЬНОЕ ГОСУДАРСТВЕННОЕ АВТОНОМНОЕ ОБРАЗОВАТЕЛЬНОЕ УЧРЕЖДЕНИЕ ВЫСШЕГО ОБРАЗОВАНИЯ «СЕВЕРО-КАВКАЗСКИЙ ФЕДЕРАЛЬНЫЙ УНИВЕРСИТЕТ» Е. А. Чеботарев, Х. Р. Сугаров СОПРОТИВЛЕНИЕ МАТЕРИАЛОВ УЧЕБНОЕ ПОСОБИЕ на английском языке Направление подготовки 08.03.01 – Строительство Профиль подготовки «Промышленное и гражданское строительство» Бакалавриат E. Chebotarev, Kh. Sugarov STRENGTH OF MATERIALS COURSE OF LECTURES AND ASSIGNMENTS For students major in Civil Engineering Ставрополь 2017

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УДК 539. 3/.6 (075.8) ББК 30.121 я 73 Ч 34 Печатается по решению редакционно-издательского совета Северо-Кавказского федерального университета Чеботарев Е. А., Сугаров Х. Р. Ч 34 Сопротивление материалов: учебное пособие на англ. яз. – Ставрополь: Изд-во СКФУ, 2017. – 205 с. Пособие создано в соответствии с федеральными государственными образовательными стандартами в технических областях. Изложены основные темы курса "Сопротивление материалов", необходимых для формирования общего машиностроения (профессиональных) компетенций. Приведены примеры расчетов практических задач, а также задания для самостоятельной работы студентов. Предназначено для студентов, обучающихся по направлению подготовки 08.03.01 – Строительство, профилю «Промышленное и гражданское строительство». УДК 539. 3/.6 (075.8) ББК 30.121 я 73 E. Chebotarev, Kh. Sugarov Strength of materials: course of lectures and assignments. – Stavropol: Publisher NCFU, 2017. – 205 p. The textbook was created in line with the Federal State Educational Standards in technical areas. The textbook describes the main topics of the course "Strength of Materials", necessary for the formation of general engineering (professional) competencies. The examples of calculations of practical problems are given as well as the tasks for students self-work. The textbook is intended for students major in Civil Engineering. Reviewers: Doctor of Technical Sciences А. Bratsikhin Candidate of Technical Sciences, Associate Professor A. Malsugenov (Don State Technical University) © ФГАОУ ВО «Северо-Кавказский федеральный университет», 2017 2

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▪ CONTENTS ▪ Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1. Fundamental concepts of Strength of Materials . . . . . . . . . . . . 5 2. The method of sections and classification of loadings . . . . . . . . 11 3. Engineering methods of strength calculations . . . . . . . . . . . . . . 14 4. Axial tension or compression . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 5. Torsion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 6. Geometrical properties of cross-sections . . . . . . . . . . . . . . . . . 46 7. Direct (simple) bending . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 8. Oblique (biaxial, unsymmetrical) bending (bending in two planes) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 9. Simple shearing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 10. Bending with tension (compression) . . . . . . . . . . . . . . . . . . . . 104 11. Eccentric tension (compression) . . . . . . . . . . . . . . . . . . . . . . . 107 12. Strength and fracture theories . . . . . . . . . . . . . . . . . . . . . . . . . 115 13. Torsion with bending of round shaft . . . . . . . . . . . . . . . . . . . . . 137 14. Displacements of framed structure . . . . . . . . . . . . . . . . . . . . . 141 15. Stability of compressed rods (Structural Stability) . . . . . . . . . . 161 16. Strength under cyclic loadings (Fatigue Strength) . . . . . . . . . . 167 Tests to verify acquired knowledge . . . . . . . . . . . . . . . . . . . . . . . . 173 The recommended literature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 200 Glossary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201 3

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▪ INTRODUCTION ▪ Strength of materials is an engineering science about methods of calculation of the most widespread elements of designs in terms of strength, rigidity (stiffness) and stability at simultaneous satisfaction of the reliability and profitability requirements. Practical confirmation of the main provisions of the discipline "Strength of Materials" has important methodological significance in the formation of an engineering student's thinking. During the study of the discipline "Strength of materials" student major in Civil Engineering acquire following competencies: GPC-1 – Ability for data searching, storing, processing and analysis using different data sources and database; ability to represent data in required format using information, computer and network technologies; GPC-2 – Ability to apply basic foundations of Science to his professional activity; ability to apply methods of mathematical analysis and modeling, theoretical and experimental studies. The main objective of a basic mechanics course should be to develop in the engineering student the ability to analyze a given problem in a simple and logical manner and to apply to its solution a few fundamental and well-understood principles. This textbook aims to help students taking course taught in English at North-Caucasus Federal University, Civil Engineering department, in their studies of one of the most important and, at the same time, most difficult engineering topics. This course will be taken not only by foreign students (speaking good English and knowing technical and mathematical terms in English), but also by Russian students intending to improve their English while studying a professional subject. The authors would like to thank А. Bratsikhin and A. Malsugenov who have assisted in preparing of this book by the reading a manuscript, commentaries and suggestions. 4

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1. FUNDAMENTAL CONCEPTS OF STRENGTH OF MATERIALS (Lectures – 2 hours) Strength of materials is an engineering science about methods of calculation of the most widespread elements of designs in terms of strength, rigidity (stiffness) and stability at simultaneous satisfaction of the reliability and profitability requirements. Strength is a property of a design or construction to withstand external impact without failure or development of excessive deformations. Rigidity is an ability of a design or construction to resist the deformation or to resist the external influences without considerable deformations. Stability is an ability of a design and its elements to keep the initial equilibrium form unchanged under loading. Reliable design is a design that keeps the operational ability during the provided time interval. The increase in sizes raises the reliability of a design but reduces its profitability (i.e. increases its cost), and conversely. The methods of strength of materials allow optimizing these parameters. The vast variety of designs can be divided into elements, which can be attributed to one of three groups by their form. The first group is a variety of elements with two dimensions much smaller in comparison to the third dimensional size. Such elements are called as bars (rods, beams). Geometrically the form of a bar can be formed by the movement of a flat figure (section) along some line (bar axis) so that the plane of a figure would be perpendicular to the axis of a bar and would cross it in the center of gravity (Figure 1.1). Figure 1.1 Each instant position of this flat figure is called as the crosssection of a bar. Depending on a form of an axis rectilinear and curvilinear bars are distinguished. Their cross-sections can be constant along of an axis or change smoothly or in steps. 5

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