• Transportno inženjerstvo, konstrukcije i logistika, Semester 1, position 2

Basic goals of this course are: 1) introduction to finite element method and applications in design of structures for material handling machines, 2) gaining the practical skills for 2D and 3D design and modeling of structures of material handling machines.

After the completion of the course, student is trained to: • Apply the finite element method (FEM), with linear finite elements, in formulation and calculation of plane trusses and frames • Perform static analysis of plane truss and frame in FEM software and work and present basic technical report for given engineering problem • Form the 3D structural model with linear finite elements and give static analysis due to loads • Use different FEM software for structural analysis • Do the basic design of gantry crane according to engineering recommendations

Introduction to finite element method. The FEM analysis process for beams and truss elements. Member stiffness matrix. Coordinate transformation. Master stiffness matrix. Force vector. Solving for displacements. Recovery of internal forces and stresses. Examples of finite element models of structures of material handling machines. Modeling of 3D truss systems.

Matrix method for calculation of displacements, internal forces and stresses in 2D truss system with 5 nodes. Matrix method for calculation of displacement and internal forces at plane two beam-elements model. Modeling the characteristic structures for material handling machines, in finite element software (trusses, beams, frames, cranes). Preparation for input data and analysis of output data. 3D modeling in given software of some parts of material handling machines.

Necessary: Mathematics 2, Strength of materials Advisable: Fundamentals of steel structures.

1. Computer room 516 2. FEA softwares

Total assigned hours: 75

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

Auditory exercises: 10
Laboratory exercises: 20
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 0
Review and grading of lab reports: 8
Review and grading of seminar papers: 0
Review and grading of the project: 0
Test: 2
Test: 0
Final exam: 5

Activity during lectures: 10
Test/test: 15
Laboratory practice: 45
Calculation tasks: 0
Seminar paper: 0
Project: 0
Final exam: 30
Requirement for taking the exam (required number of points): 35

Vlada Gašić: Osnove metalnih konstrukcija u mašinogradnji, Handbook, Faculty of Mechanical Engineering, Belgrade, 2021; Handouts with examples, 2023.