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

Basic goal of this course is introduction to principles in design and calculation of steel structures for wide range of material handling machines (mining machines, earthmoving machines, cableways and lifts). Also, goal is development of student creative skills for designing the light but safe structures, i.e. rational structures.

After the completion of the course, student is trained to: • Calculate the shear stresses of the thin-walled closed section, such as on box girder of bridge crane • Calculate first moments of area of the thin-walled open section • Obtain the position of the shear centre of the thin-walled open section and form the warping coordinate • Analyze the warping torsion effects for beams and cantilevers with thin-walled open section, determine the warping loads and calculate the stresses due to bimoment and warping torsion • Perform the complete stress proof of girders made of thin-walled open section

Theory of elasticity (basics). Stress-strain relations. Torsion of solid and hollow circular section bars. Torsion in thin-walled closed section beams. Torsion in thin-walled open section beams. Shear flow distribution. Shear stress distribution. Shear centre. Warping. Warping constant. Lateral buckling. Equation for rotational angle. Representation of stresses.

Calculation of section properties for thin-walled open section beams: centre of gravity, first moment of area, second moment of area, torsional constant, warping constant. Determination of shear centre for various thin-walled open sections. Calculation of shear stress distribution and bending stress distribution at characteristic sections performed on several types of thin-walled open section simple beams and cantilevers under loads. Determination of shear centre for thin-walled sections with developed software package.

Necessary: Mathematics 1,Mathematics 2, Strenght of materials. Advisable: Fundamentals of steel structures

Computer rooom 516, literature.

Total assigned hours: 75

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

Auditory exercises: 20
Laboratory exercises: 5
Calculation tasks: 5
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 4
Review and grading of lab reports: 0
Review and grading of seminar papers: 0
Review and grading of the project: 0
Test: 6
Test: 0
Final exam: 5

Activity during lectures: 5
Test/test: 45
Laboratory practice: 0
Calculation tasks: 20
Seminar paper: 0
Project: 0
Final exam: 30
Requirement for taking the exam (required number of points): 35

Zoran Petkovic: Metalne konstrukcije u masinogradnji 2, Faculty of Mechanical Engineering, Belgrade, 2005.; Vlada Gašić: Osnove metalnih konstrukcija u mašinogradnji, Handbook, Faculty of Mechanical Engineering, Belgrade, 2021