Strength of Materials and Structural Mechanics
Description: The discipline is aimed at studying the features of the stress-strain state of structural elements under various conditions of external load; the main methods and principles of calculating structural elements and structures for strength, stiffness and stability; calculations for strength, stiffness and stability of structural elements for typical types of stress-strain state; types of stress-strain state of structural elements under the action of specified loads.
Amount of credits: 5
Пререквизиты:
- Mechanical Engineering
Course Workload:
| Types of classes | hours |
|---|---|
| Lectures | 30 |
| Practical works | 15 |
| Laboratory works | |
| SAWTG (Student Autonomous Work under Teacher Guidance) | 30 |
| SAW (Student autonomous work) | 75 |
| Form of final control | Exam |
| Final assessment method | in the computer class |
Component: Component by selection
Cycle: Base disciplines
Goal
- Features of the stress-strain state of structural elements under various conditions of external load; basic methods and principles for calculating structural elements and structures for strength, stiffness and stability; calculations for strength, stiffness and stability of structural elements for typical types of stress-strain state; types of stress-strain state of structural elements under the action of specified loads.
Objective
- The task of teaching the discipline is the application of theoretical knowledge to solve practical problems that arise in the design of buildings and structural elements.
Learning outcome: knowledge and understanding
- Knowledge of the basic methods and principles for calculating the strength and stiffness of building elements, as well as recommendations for the effective design of engineering structures.
Learning outcome: applying knowledge and understanding
- Knowledge of the basic methods and principles for calculating the strength and stiffness of building elements, as well as recommendations for the effective design of engineering structures.
Learning outcome: formation of judgments
- Knowing the laws of motion of a given body (or point), determine the motion of the body as a whole, as well as all the kinematic dimensions that characterize the motion of each of its points separately (trajectory, speed, acceleration, etc.).
Learning outcome: communicative abilities
- Apply basic laws and theorems to solve applied problems.
Learning outcome: learning skills or learning abilities
- Be able to perform calculations of strength, stiffness and stability of structural elements for simple types of deformation (tension-compression, torsion in statically defined systems), complex deformations (transverse bending, eccentric compression), including using modern software tools
Teaching methods
Traditional technologies are provided for teaching: classroom lessons and independent work of students. The lecture course is presented in a multimedia form. When presenting lecture material at the beginning and at the end of the lecture, motivational speech is used. Text, audio and video information, graphs, tables, etc. are used in the lecture-presentation and practical exercises.
Assessment of the student's knowledge
Teacher oversees various tasks related to ongoing assessment and determines students' current performance twice during each academic period. Ratings 1 and 2 are formulated based on the outcomes of this ongoing assessment. The student's learning achievements are assessed using a 100-point scale, and the final grades P1 and P2 are calculated as the average of their ongoing performance evaluations. The teacher evaluates the student's work throughout the academic period in alignment with the assignment submission schedule for the discipline. The assessment system may incorporate a mix of written and oral, group and individual formats.
| Period | Type of task | Total |
|---|---|---|
| 1 rating | Calculation of the strength of rigid bars in tension or compression, as well as in bending. Determination of position and neutral line and determination of voltages. | 0-100 |
| Calculation of the strength of rigid rods. | ||
| 2 rating | Construction of diagrams of bending moments, transverse and longitudinal forces from characteristic points. | 0-100 |
| Construction of lines of influence of transverse forces and bending moments from constant loads of a multi-span statically determinate beam, construction of lines of action of support reactions and internal forces. Determination of internal forces at a constant load on the lines of influence. | ||
| Total control | Exam | 0-100 |
The evaluating policy of learning outcomes by work type
| Type of task | 90-100 | 70-89 | 50-69 | 0-49 |
|---|---|---|---|---|
| Excellent | Good | Satisfactory | Unsatisfactory |
Evaluation form
The student's final grade in the course is calculated on a 100 point grading scale, it includes:
- 40% of the examination result;
- 60% of current control result.
The final grade is calculated by the formula:
| FG = 0,6 | MT1+MT2 | +0,4E |
| 2 |
Where Midterm 1, Midterm 2are digital equivalents of the grades of Midterm 1 and 2;
E is a digital equivalent of the exam grade.
Final alphabetical grade and its equivalent in points:
The letter grading system for students' academic achievements, corresponding to the numerical equivalent on a four-point scale:
| Alphabetical grade | Numerical value | Points (%) | Traditional grade |
|---|---|---|---|
| A | 4.0 | 95-100 | Excellent |
| A- | 3.67 | 90-94 | |
| B+ | 3.33 | 85-89 | Good |
| B | 3.0 | 80-84 | |
| B- | 2.67 | 75-79 | |
| C+ | 2.33 | 70-74 | |
| C | 2.0 | 65-69 | Satisfactory |
| C- | 1.67 | 60-64 | |
| D+ | 1.33 | 55-59 | |
| D | 1.0 | 50-54 | |
| FX | 0.5 | 25-49 | Unsatisfactory |
| F | 0 | 0-24 |
Topics of lectures
- Tension and compression in statically indeterminate systems
- Torsion
- Difficult resistance
- Difficult resistance
- Calculation of statically determinate frames
- Calculation of statically determinate frames
- Kinematic analysis of buildings
- Signs of construction of geometrically variable systems
- Multi-span statically determinate beams
- Definition of main, suspension and auxiliary beams
- The work of external forces
- Potential energy of elastic deformations
- General methods for determining displacements
- Mohr integral
- General methods for determining displacements
Key reading
- 1. Andreev, V.I. Soprotivlenie materialov s osnovami teorii uprugosti i plastichnosti: Uchebnik / G.S. Vardanyan, V.I. Andreev, A.A. Gorshkov. - M.: INFRA-M, 2013. - 638 c., 2. Arkusha, A.I. Tekhnicheskaya mekhanika: Teoreticheskaya mekhanika i soprotivlenie materialov: Uchebnik / A.I. Arkusha. - M.: KD Librokom, 2015. - 354 c. 3. Belyaev, N.M. Soprotivlenie materialov: Uchebnik dlya VUZov / N.M. Belyaev. - M.: Al'yans, 2014. 608 s., 4. Belyaev, N.M. Soprotivlenie materialov / N.M. Belyaev. - M.: Al'yans, 2015. – 608 c., 5. Shakirzyanov R.A. Kratkii kurs lektsii po stroitel'noi mekhanike. – Kazan': KGASU, 2010. – 115 s., 6 Babanov, V. V. Stroitel'naya mekhanika : v 2 t. / V. V. Babanov. — M.: Akademiya, 2011.
Further reading
- 7. Bernshtein, M. S. Kurs stroitel'noi mekhaniki: v 3 ch. Ch. 1. Teoreticheskaya mekhanika / M. S. Bernshtein, V. F. Tochinskii ; pod red. prof. B. N. Zhemochkina. — M.: Gosstroiizdat, 1960, 8. Anokhin N.N. Stroitel'naya mekhanika v primerakh i zadachakh. Ch. 1. Staticheski opredelimye sistemy: Ucheb. posobie / N.N. Anokhin. – M.: Izd-vo assotsiatsii stroitel'nykh vuzov, 1999. – 334 s., 9. Anokhin N.N. Stroitel'naya mekhanika v primerakh i zadachakh. Ch. 2. Staticheski neopredelimye sistemy: Uch. pos. – M.: ASV, 2000. – 464 s., 10 Kiselev V.A. Stroitel'naya mekhanika. Spetsial'nyi kurs. – M.; Izdatel'stvo literatury po stroitel'stvu, 1969g., 11. Kolkunov N.V. Posobie po stroitel'noi mekhanike sterzhnevykh sistem. Chast' 1: Staticheski opredelimye sterzhnevye sistemy. – M. 2009. – 102 s.
