Engineering mechanics 1

Enable understanding of important laws and methods of Mechanics, with emphasis on statics. Develop creativity and the ability to understand, formulate and solve engineering problems independently.

The student is able and competent to analyze and solve problems of mechanics of the rigid body and simple systems of the plane frame and truss structures.

Basic concepts: force, rigid and deformable body, types of forces, the principle of section, action, and reaction, dimensions, and units.Composition and resolution of forces, equilibrium of forces,in-plane and in space.General system of forces in the plane:coupling and force couples,moment of force,reduction of force on point, resultant of the force system, equilibrium conditions, Chain polygon.General system of forces in space: vector of moment, equilibrium conditions.Center of gravity:system of parallel forces, surface, line, the center of gravity, and center of mass of bodies.Girdes in plane: supports, static determination, support reactions. Spatial and multi-part girders:static determination, three-joint arch, articulated beams.Beams, frames, arches: cross-sectional parameters, the ratio of girder load and cross-sectional parameters-differential connections.Integration and boundary conditions, transient conditions for multi-field girders.Individual determination of cross-sectional parameters,cross-sectional parameters for frames,arches,and space girders.Truss girders:static determination,truss shaping,rod forces.The knot procedure,Cremona's plan of forces.Ritter's cross-sectional procedure.Spatial truss.Force work and application in statics: potential energy,general equation of statics, determination of equilibrium,reaction force,and cross-sectional quantities, stability of position equilibrium.Friction:sliding friction,rolling friction,rope friction.Chain construction.

1. M.Mijalković, Tehnička mehanika 1, Građevinsko-arhitektonski fakultet Univerziteta u Nišu, 2011

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2. M. Mijalković , Praktikum iz tehničke mehanike 1, Građevinsko-arhitektonski fakultet Univerziteta u Nišu, 2006

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3. Naerlović-Veljković, N., Mehanika I, Naučna knjiga, Beograd, 1991.

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4. Timošenko, S., Jang, D. H., Tehnička mehanika, Građevinska knjiga, Beograd, 1952.

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5. Rusov, L., Statika, Naučna knjiga, Beograd

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Class attendance 2 points
Annual assignments 8 points
Colloquium 1 20 points
Colloquium 2 20 points
Final exam 50 points

Interactive lectures and exercises with work on individual assignments. Consultations.