Mechanics 1

ID: 1452
Course type: scientific and vocational
Course coordinator: Lazarević P. Mihailo
Lecturers: Zorić D. Nemanja, Jeremić M. Olivera, Lazarević P. Mihailo, Mandić D. Petar, Mitrović S. Zoran, Obradović M. Aleksandar, Radulović D. Radoslav, Rosić A. Nevena, Tomović M. Aleksandar, Trišović R. Nataša
Contact: Lazarević P. Mihailo
Level of studies: B.Sc. (undergraduate) Academic Studies – Mechanical Engineering
ECTS: 6
Final exam type: oral
Department: Department of Mechanics

Lectures

Semester 1, position 2

Goal

-to provide students knowledge of the fundamental principles of Statics. -to enable students to master the reduction of the system of forces to the simple form and determine conditions of equilibrium of the force system. -to prepare students for solving problems in different engineering and scientific fields.

Outcome

Upon successful completion of this course, students will be able to: -Apply the principle of liberation from constraints of constrained body exposed to action of forces -Form conditions of equilibrium and determine unknown forces in case of concurrent forces system -Set conditions of equilibrium and determine unknown forces and torques in case of forces system in plane and in space and couples system -Determine basic static quantities (normal-force,shear-force and bending-moment) in cross-section of beams and frames as well as depict their diagram -Solve static problems regarded to sliding friction and rolling friction -Determine center of gravity of a body

Theoretical teaching

Statics in Engineering. Basic terms. Axioms of Statics. Constrained body.Constraints and reactions of Constraints. Constraint Removal principle. Conditions of Equilibrium of the Concurrent Force System. Equilibrium of the Three-force System. Moment of a Force about a Point and Axis. Couple. Moment of a Couple. Equivalence of Couples. Equilibrium of a Couple Systems. Fundamental Theorems of Statics. Reduction of Force Systems. Conditions of Equilibrium of Force Systems. Center of Parallel Force System. Center of Gravity of a Body. Center of Gravity Determination. Guldin's Theorems. Types of Loads. Forces and Moments in Cross-section of Structures. Plane structures. Basic static diagrams. Plane Trusses. Friction. Real constraints. Rolling resistance.

Practical teaching

Conditions of equilibrium of concurrent force system. Equilibrium of Three-force system, Conditions of Equilibrium of Force Systems. Center of Gravity of a Body. Center of Gravity Determination. Guldin's Theorems. Forces and Moments in Cross-section of Structures. Plane Structures. Basic Static Diagrams. Plane Trusses. Friction. Real Constraints. Rolling resistance.

Attendance requirement

none

Resources

Handouts

Assigned hours

Total assigned hours: 75

Active teaching (theoretical)

New material: 20
Elaboration and examples (recapitulation): 10

Active teaching (practical)

Auditory exercises: 30
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: 10
Final exam: 5

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

Lukačević, M., Čović, V., Statika, Građevinska knjiga, 1996; Golubović, Z., Simonović,M., Mitrović,Z., Mechanics-Statics, Faculty of Mechanical Engineering, Belgrade, 2021.; Glišić, M.,Trišović, N., Jeremić, O., Milićev,S., Zeković, D., Collection of examples from Statics with appendix in theory, Faculty of Mechanical Engineering, Belgrade, 2020.