Course detail
Structural Mechanics
FAST-BD05Acad. year: 2011/2012
Moving load. Influence lines of the deflection and static quantities of the static determinate structures. Evaluation of the influence lines and determination of its extremes. The kinematical method of solution. The influence lines of the deflection and static quantities of the static indeterminate bar structures. Structures with bars of varying cross-section. Elastic and eccentric connection of bars within the frame structures. The analysis of thin-walled bars. Cross-section characteristics and the shear centre. Solution of the thin-walled bars with opened cross-section. Normal and shear stress. Differential equation of restrained warping torsion of opened cross-section shape. Evaluation of the characteristic quantities of the warping. Analysis of the thin-walled sections of a closed cross-section. Linear stability of the frame structures. Euler’s critical force and the shapes of buckled structure. Elasto-plastic analysis of a bar. The basis of a limit state analysis. The plastic limit load carrying capacity of a cross-section. The plastic limit load carrying capacity of a frame structure. The failure limit states.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Learning outcomes of the course unit
Prerequisites
The principle of virtual work and theorem of reciprocity of virtual work. The calculation of deformations by the method of unit forces.
The force method of structural analysis of statically indeterminate plane frames, planar bar systems, continuous girder, including the effect of support relaxation and the temperature influence.
Basic cases and complex cases of the load of the beam. Design of the beams in the case of the composed (complex) load.
The stability and the bucking strength of the compressed bars. Euler’s solution. The critical force and the critical stress. The theory of the material strength and failure. The stress and strain state in a point of the body. The principal stress at the planar stress problem.
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Course curriculum
2.Evaluation of the influence lines and determination of its extremes. The kinematical method of solution.
3.The influence lines of the deflection and static quantities of the static indeterminate bar structures.
4.Structures with bars of varying cross-section.Elastic and eccentric connection of bars within the frame structures.
5.The analysis of thin-walled bars. Cross-section characteristics and the shear centre.
6.Solution of the thin-walled bars with opened cross-section. Normal and shear stress.
7.Differential equation of restrained warping torsion of opened cross-section shape.
8.Evaluation of the characteristic quantities of the warping.
9.Analysis of the thin-walled sections of a closed cross-section.
10.Linear stability of the frame structures. Euler’s critical force and the shapes of buckled structure.
11.Elasto-plastic analysis of a bar. The basis of a limit state analysis.
12.The limit plastic load carrying capacity of a cross-section.The limit plastic load carrying capacity of a frame structure.
13.The limit failure states.
Work placements
Aims
Structures with bars of varying cross-section. Elastic and eccentric connection of bars within the frame structures. The analysis of linear stability of the frame structures, Euler’s critical force and the shapes of buckled structure.
The principle of solution of the thin-walled bars with opened cross-section, equation of restrained warping torsion of opened cross-section shape.
Introduction to the elasto-plastic analysis of a bar. The plastic limit load carrying capacity of a frame structure. The limit failure states.
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
Kadlčák, J., Kytýr, J.: Statika stavebních konstrukcí II. Brno: VUTIUM, 2001. ISBN 978-80-214-3428-8. (CS)
Recommended reading
Bittnar, Z., Šejnoha, J.: Numerical Methods in Structural Mechanics. Asce Press, Thomas Telford Pub., 1996. (EN)
Servít, R., Doležalová, E., Crha, M.: Teorie pružnosti a plasticity I. SNTL/ALFA Praha, 1981. (CS)
Servít, R., Drahoňovský, Z., Šejnoha, J., Kufner, V.: Teorie pružnosti a plasticity II. STNL/ALFA Praha, 1984. (CS)
Classification of course in study plans