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University of Structural Engineering & Architecture
(VSU) "Lyuben Karavelov" - Sofia

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Course Descriptions

Degree program: Civil Egineering, Curriculum 2014

Course: 13 Theoretical Mechanics

Faculty: Mechanics and Mathematics

Chief Assistant Prof. Eng. Petar Grekov -

Contact hours: 60h, 30h lectures, 30h seminars

Self-study hours: 0h,

Course assessments: 1

Assessment: next semester

Year, semester, weekly workload: Year 1, semester 2, lectures 2.0h, seminars 2.0h

ECTS - 5

Main Topics: Statics: Subject, purpose and tasks of the discipline. Axiomatic method of mechanics. Reduction of systems of forces and force couples. General and special cases of reduction. Distributed loads. Gravity center. Supports and support reactions. Basic problems of statics. Statically indeterminate and statically determinate problems. Point equilibrium. Equilibrium of a perfectly-rigid symmetric body loaded by coplanar forces. Equilibrium of a perfectly-rigid body (PRB) under spatial loading. Types of perfectly-rigid body systems. Analysis of permanence. Method of the section for determining the reactions in connections. Hinged girder. Three-hinged system. Plane hinge-beam structures. Analytical and graphical determination of beam forces. Friction types. Coulomb’s law.

Dynamics and kinematics. Subject and tasks of kinematics. Point kinematics. Translational, rotational and planar movement of PRB. Relative movement of a point and a body. Dynamics of unrestricted and restricted point. Newton’s axioms. Kinetic-static method. Dynamics of the relative movement of a point. Summary characteristics of forces, system inertia and material point movement, of point systems and perfectly-rigid bodies. Momentum (quantity of movement), kinetic moment, kinetic energy. Theorem for the system momentum (quantity of movement - QM). Law for momentum (QM) conservation. Theorem for the kinetic moment. Law for the kinetic moment conservation. Theorem for the kinetic energy. Law for conservation of mechanical energy. Dynamics of the rotational and planar movement of an ideally rigid body (IRB). DAlembert’s principle. Principle of the virtual displacements (Lagrange’s principle).



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