RESISTANCE OF MATERIALS II
| Lectures | Prof. Dr. Aleksandar Karač |
| Exercises | assistant professor Alma Žiga, Ph.D |
| Number of lessons (F+V) | 2+2 |
| ECTS points | 4.5 |
GOAL
LEARNING OUTCOMES
EVALUATION
Final grade: 50% from points on the exam, 25% from points from assignments, 25% from points on the seminar.
PROGRAM
Voltage analysis. Voltage vector. Stress tensor. Change in stress tensor components when rotating the coordinate system. Main voltages. Mohr's stress circles. Octahedral stresses. The spherical and deviatoric part of the stress tensor. Analysis of deformations. The concept of deformation. The relationship between displacement and component deformations. Deformation tensor. Change of deformation components during rotation of the coordinate system. Major dilatations. Sliding. Compatibility equations. Constitutive equations. Experimental procedures. Constitutive equations for isotropic material and for anisotropic material. Linear thermoelastic equations. Formulation and solving problems of elasticity theory. Recapitulation of the basic equations. Formulation and problem solving. Torsion of a beam with a non-round cross-section. Torsion of a beam of arbitrary solid cross-section and elliptical cross-section. Membrane-torsion analogy. Torsion of a beam of open and closed thin-walled profile. Bending of thin-walled beams. Open and closed profile beams. Bending of thin plates. Introduction to the theory of plate bending. General differential equations. Stress and deformation of rotary shells. Geometric properties of rotary shells. Rotationally symmetrical loading of shells. Thick pipes. Geometric features. Pipe types and loading methods. Establishing the relationship between stresses and strains. Lame's problem. Setting differential equations, boundary conditions and obtaining the final solution. Rotating discs of constant thickness. Thin-walled rods with an open profile (limited torsion). Introductory remarks. Cross-sectional wind shear. Connection between force and external load. Sectoral characteristics of the section. Expression for shear and normal stress. Differential equations of a thin-walled rod. Special cases. Experimental methods of stress and deformation determination. Tensometry. Photoelasticity.
LITERATURE
Basic:
- Group of authors, Elastostatics I, Technical Faculty, Bihać, 2003.
- Group of authors, Elastostatics II, Faculty of Engineering, Bihać, 2004.
- Rašković D., Resistance of materials, Scientific book, Belgrade, 1990.
- Rašković D.:, Tables from the resistance of materials, Scientific book, Belgrade, 1990.
- Vukojević D., Theory of elasticity, Faculty of Mechanical Engineering in Zenica, 1998.
- J. Kudumović, S. Alagić, Collection of Solved Problems in Material Resistance, UNTZ, Tuzla, 2000.
Additional:
- RC Hibbeler, Mechanics of Materials, Prentice Hall, Eight Edition, 2011.
- JM Gere, BJ Goodno, Mechanics of Materials, Cengage Learning, Seventh Edition, 2009.
- JM Gere, BJ Goodno, An Instructors Solution Manual to Accompany: Mechanics of Materials, Cengage Learning, Seventh Edition, 2009.
- WA Nash, Theory and Problems of Strength of Materials, Schaum's outline series, McGraw-Hill, 1998.
- WC Young, RG Budynas, Roark's formulas for Stress and Strain, McGraw-Hill, Seventh Edition, 2002.
MATERIALS
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SEMINAR PAPERS
The list of seminar papers by teams can be found here link. Supporting material can be found at to the network.
Seminar papers should be prepared as follows:
1. Content of the work:
a) textual part – theoretical part related to the topic of the paper, and application examples (at least two examples).
b) presentation – shortened version of the text part that will be presented. Each team member should participate in the presentation. Presentations last a maximum of 20 minutes.
Submit the paper in electronic form, for a) and b) separately. Use Word, PowerPoint, Latex, etc.
2. Deadline for submitting seminar papers: 27.05.2016. years.
3. Presentations will be held: 30.05.2016. at 10.15 at 2113.
TASK
EXAMINATION DEADLINES
| June/July | 23.06.2016. at 9.00 /3102/ | 14.07.2016. at 9.00 /3102/ |
| September | 02.09.2016. at 9.00 /3102/ | 29.09.2016. at 9.00 /3102/ |
Additional information about taking the final (written) exam is available at the following link.
In the written exam, it is allowed to use a calculator and a list of formulas, which is available at the following the following link.
Archive
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