3 semester


Name of the Discipline

Strength of materials and the foundations of structural mechanics


Course of Teaching



Semester of Teaching



Number of credits



Surname and name of the Lecturer

PhD in Phisics and Mathematics, Associate Professor



Purpose of the Discipline Studying

Formulation and solving problems related to the analysis of strength, rigidity, stability and vibration of structural elements. Increasing of the professional competence level in solving problems in various fields of mechanics.

As a result of the teaching the student should be able to:

– to compile a design model of a component or structural element;

– to perform the calculation of the stress-strain state under tension-compression, shear, plain transversal bending, torsion, skew bending and eccentric tension-compression;

– to evaluate stresses and deformations under a uniaxial, plane and generalized stress state;

– to use the differential equations of the elastic line for deflection calculating during bending;

– to evaluate deflections and angles of rotation for beams and frames using the Maxwell-Mohr integrals and the Vereshchagin method;

– to perform calculation of statically indeterminate systems by the method of forces;

– to evaluate the dynamic stresses in beams under impact;

– to evaluate the critical load corresponding to the loss of stability of the rectilinear form of the deformed state.



Theoretical Mechanics, Mathematical Analysis, Algebra, Geometry, Mechanics of Continua


Contents of the Discipline

The hypothesis of St. Venant. Stresses. Stresses and strains for a plane stressed state. Generalized stress state. Shear strains. Stresses and deformations in torsion. Torsion of the bars with circular cross section. Geometric characteristics of plain sections. Bending of a beams. Normal stresses in beam during pure bending. Tangential stresses in beams during bending. Differential equation of an elastic line of a bend beam. Method of initial parameters. Complex strength. The skew bending. Eccentric bending. Strength theories. Potential energy of deformed structural elements. The application of the energy method for the evaluation of elastic displacements. Calculation of statically indeterminate systems by the method of forces. Continuous beams. The three-couple theorem. Calculation of the curve bars. Stability of elastic systems. Dynamic loads and dynamic stresses. Fundamentals of the theory of oscillations of elastic systems.


Recommended literature

1. Gastev V.A. Short course of strength of materials. Moscow: Nauka, 1977 (in Russian).

2. Tatur G.K. General course of strength of materials. Minsk: Visshaya shkola, 1974 (in Russian).

3. Feodosiev V.I. Strength of Materials. Moscow: Nauka, 1999 (in Russian).


Teaching Methods

The problem method, the dialog-heuristic method, the visual method, the method of forming the personal significance of knowledge


Language of teaching

Russian, English


Conditions (requirements, monitoring)


– Execution of individual tasks.

The score on the exam is set taking into account:

15% – testing, 15% – individual assignments, 10% – work in practical classes, 60% – a written response in the exam


Form of current certification