Subject: Technical Mechanics
(06 -
F107) Basic Information
Course specification
As one of the fundamental engineering course, it has the aim of developing abstract thinking, as well as acquiring basic knowledge in the filed of mechanics of rigid and deformable bodies. Acquired knowledge is used in further education and in the professional courses. Mechanical motions and immovability. Space and time. Force as a measure of mechanical action. Couple as a measure of mechanical action. Couples. Static axioms. Dividing force onto two components. Force reflection. Summing two intersecting forces. Summing two parallel forces. Theorem on three unparallel forces. Facing system force-balance. Summing couples. Plane system of forces and couples – balance. Varignon`s Theorem. Balance of the plane system of rigid bodies. Sliding friction. Centre of the joint system of parallel forces. Centroid. Force intersection. Hypotheses on mechanics of materials. Cauchy-Euler Axiom. Stress vector. Normal and tangential stresses. Axially loaded rods. Statically undetermined tasks with axially loaded rods. Shearing. Geometric properties of flat surfaces. Bending with rods with circular and circular-ring cross sections. Statically undetermined tasks in bending. Beam bending. Linear differential equation of the elastic line. Dot kinematics. Speed and acceleration in Cartesian and natural coordinate system. Dot motion on the circle. Dot motion classification. Projectile motion. Translatory motion of a rigid body. Rigid body spinning around fixed axes. Plane motion of a rigid body. Complex dot motion. Determination principle. Newton`s law on dynamics. Force structure. Two tasks of dynamics. Differential equations on the material point motion in Cartesian and natural coordinate system. Free dot oscillations. Forced dot oscillations. Kinetic energy of a material dot. Force actions. Potential energy. Theorem on the alteration of kinetic energy of a material dot. Law on maintaining the total mechanic energy. Teaching methods include lectures, computing practice, computer practice and consultations. Lectures are conducted by using presentations and animations. During the classes, apart from theoretical presentation of content, characteristic examples are also presented. Computing practice supplement lectures by completing tasks and deepening the practical knowledge from certain areas. Computer practice is held in order to visualize learnt concepts in mechanics and its models, compare simulation data to theoretical results, test hypotheses and investigate “what if” scenarios. Teaching content can be passed during the teaching process in the form of four modules: Statics, Mechanics of materials, Kinematics and Dynamics.
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