# Mechanics and Strenght of Materials Course code: OMAT | 7 ECTS credits

Basic information
Level of Studies: Undergraduate applied studies
Year of Study: 1
Semester: 2
Requirements: completed pre-exam requirements of Mathematics 1 and Physics
Goal: Enabling students to independently determine the resultant load in the plane and space, determining the geometrical characteristics of cross sections and stresses in bars and beams for the base cases of their strain. Also, providing fundamentals for other professional courses (Theory of structures, Concrete, Metal, Timber structures, etc.).
Outcome: Knowledge in this course enables acurate determination of size, direction, course and load distribution of construction structures, as well as the determination of stresses in bars and beams for the base cases of their strain. In addition, students gain knowledge necessary for the determination of all geometrical characteristics of cross sections used in many specialized courses and in practice.
Contents of the course
Theoretical instruction:
1. Basic concepts and axioms of mechanics of a rigid body: a rigid body, material point, free and linked body, sizes and size units. Force: concept, definition, types of force, graphical presentation, composition of forces, plan and polygon of forces, resultant,balanced force, decomposition of a force. Moment of a force to point and axis, the principle of moment – Varignon’s theorem. Couples: moment ofa couple, equivalent couples,composition and balance of couples. Force and force couple: composition, shiftof a forceinto arbitrarily chosen point.
2. Conditions of equilibrium of force system in plane and space that attack one point or rigidbody. Parallel forces in plane and space: weight and gravity center of a body. Conditionsof equilibrium of ajoint rigid body in plane and space. Concept of a joint and joint reaction. Equilibrium conditions of system of rigid bodies.
3. Geometric properties of surfaces of cross-sections and method for their determination. Analysis of stress and strain. Hooke's law. Experimental data on the relationship of stress and strain. Allowable stresses.
4. Determination of stress for the following cases of stress: Axial loading, pressure and tightening of a beam; Pure, uniaxial and biaxial bending of a beam; Eccentric loading, pressure and tightening of a beam; Beam buckling; Pure shear; Torsion and bending of beams with forces. Basics of elements dimensioning.
Practical instruction (Problem solving sessions/Lab work/Practical training):
Textbooks and References
Number of active classes (weekly)
Lectures: 3
Practical classes: 3
Other types of classes: 0
Grading (maximum number of points: 100)
Pre-exam obligations
Points
activities during lectures
10
activities on practial excersises
0
seminary work
20
colloquium
30
Final exam
Points
Written exam
0
Oral exam
40