14DMI14 - Strength of Materials

Course specification
Course titleStrength of Materials
Study programme
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
    Condition-Облик условљености
    The goalThe objective is gaining the advanced knowledge in the field of strength of materials, mechanics and micromechanics of solids, as well as understanding the factors which influence the load carrying capacity of structures exposed to different loading types.
    The outcomeThe course contributes to development of independence of the doctoral student in the new study and working tasks, communication and critical dialog with the colleagues from different technical professions.
    Contents of lecturesOverview and recall of the basic notions: geometry, displacement, strains. Center of mass, moments of inertia for plane surfaces. ; Relationship between displacement and strain. Representation in different coordinate systems. Strain invariants. Strain rate. Strain energy. Plane strain state. Large nonlinear strains. Notion of stress. Stress tensor. Principal stresses. Plane stress state. Residual stresses. ; Conservation laws for mass, energy, momentum and angular momentum. ; Strength of materials at the conditions of combined mechanical loading. Influence of thermal loading. Constitutive equations for materials. Linear and non-linear elasticity. Plastic yielding criteria. ; Resistance of butt and fillet welded joints to external loading. ; Introduction to micromechanics of materials. Basics of mechanics of damage and fracture of materials.
    Contents of exercisesSolving the examples which illustrate the theoretical part of the lectures. ; Determining moments of inertia of the cross-sections with complex shape. ; Calculation of strength and deformation of beam and truss elements. ; Determining the stress-strain state for different geometries. ; Calculation of load carrying capacity of welded joints. ; Determining the influence of crack-like defects on structural integrity.
    1. S. Putić, M. Rakin, Strength of Materials, Faculty of Technology and Metallurgy, University of Belgrade, 2008
    2. D. Roylance, Mechanics of Materials, John Willey and Sons Inc. New York, 1996
    3. M. Mićunović, Applied Continuum Mechanics, Građevinska knjiga, Belgrade, 2005
    4. R. Archer et al, An Introduction to the Mechanics of Solids, International student edition, McGraw-Hill, London, 1972
    5. T. Kobayashi, Strength and Toughness of Materials, Springer, Berlin, 2000
    6. R. Budynas, K. Nisbett, Mechanical Engineering Design, Mcgraw-Hill, 2010
    7. W. Nash, Schaum's Outline of Strength of Materials, Fifth Edition, McGraw Hill, 2010
    Number of hours per week during the semester/trimester/year
    LecturesExercisesOTCStudy and ResearchOther classes
    Methods of teachingLectures and practices in the classroom (using the overhead projector, blackboard, computer and video beam), solving the examples.
    Knowledge score (maximum points 100)
    Pre obligationsPointsFinal examPoints
    Activites during lectures10Test paper
    Practical lessons25Oral examination30