Basics of Mechanics 1

Lectures

Goal

The objective of this course is for students to master basic Statics settings. To this end, students should master the basics of reducing the force system to a simpler form, as well as determine the equilibrium conditions of simple force systems. In this course students gain knowledge that will enable them to solve analytically and numerically basic problems in various professional and scientific fields.

Outcome

Upon successful completion of this course, students should be able to: • They apply the principle of release from the bonding of a bound body exposed to the action of a simple system of forces • Analytically and numerically set the equilibrium conditions and determine the statically unknown magnitude of an arbitrary plane and space system of forces and couplings of forces • Analytically and numerically determine the basic static quantities in the cross section of straight, linear, simple and complex supports, as well as draw their diagrams • Solve static problems related to sliding and rolling friction • Analytically and numerically determine the position of the center of gravity of the body of simple shapes.

Theoretical teaching

Statics in Mechanical Engineering.Basic terms.The axioms of Statics.Bound body, connections and bond reactions.The principle of release from bonds.Moment of force with respect to point and axis.Coupling force.Moment of coupling force.Equivalence of coupling forces.The balance of the system is coupled by force.Basic theorems of statics.Reducing the force system to a simpler form.Equilibrium conditions of the force system.The center of a system of coupled parallel forces.The center of gravity of the body.Ways to determine the position of the center of gravity of the body.Guldin's theorems.Types of load.Basic static sizes in the cross section of the carrier. Plane carriers.Basic static diagrams.Straight lattice brackets.Sliding friction.Real connections.Rolling friction.

Practical teaching

Equilibrium conditions of the force system.The center of gravity of the body.Ways to determine the position of the center of gravity of the body.Guldin's theorems. Basic static sizes in the cross section of the carrier. Plane carriers.Basic static diagrams.Straight lattice brackets.Sliding friction.Real connections.Rolling friction.Numerical methods in statics.

Attendance requirement

None

Resources

[1] Lukačević, M., Čović, V., Statika, Građevinska knjiga, 1996. [2] Golubović, Z., Simonović, M., Mitrović, Z., Mehanika - Statika, Mašinski fakultet u Beogradu, 2005. [3] Glišić, M., Trišović, N., Jeremić, O., Milićev, S., Zeković, D., Zbirka zadataka iz statike sa izvodima iz teorije, MF Beograd, 1998. [4] Đurić, S., Statika, MF Beograd, 1988. [5] Rusov, L., Statika, Naučna knjiga, 1989.

Assigned hours

Total assigned hours: 45

Active teaching (theoretical)

New material: 25
Elaboration and examples (recapitulation): 0

Active teaching (practical)

Auditory exercises: 15
Laboratory exercises: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Knowledge test

Review and grading of calculation tasks: 0
Review and grading of lab reports: 0
Review and grading of seminar papers: 0
Review and grading of the project: 0
Test: 0
Test: 3
Final exam: 2

Knowledge test (100 points total)

Activity during lectures: 0
Test/test: 60
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Final exam: 40
Requirement for taking the exam (required number of points): 30

Literature

[1] Lukačević, M., Čović, V., Statika, Građevinska knjiga, 1996.; [2] Golubović, Z., Simonović, M., Mitrović, Z., Mehanika - Statika, Mašinski fakultet u Beogradu, 2005.; [3] Glišić, M., Trišović, N., Jeremić, O., Milićev, S., Zeković, D., Zbirka zadataka iz statike sa izvodima iz teorije, MF Beograd, 1998.; [4] Đurić, S., Statika, MF Beograd, 1988.; [5] Rusov, L., Statika, Naučna knjiga, 1989.