Structural Analysis (2)
FAST-D30Acad. year: 2019/2020
Solution of plane trusses by slope method. Computational model. Analysis of straight bar in local coordinate system – primary and secondary stage. Geometrical transformations. Bar system analysis, global stiffness matrix assembling. Calculation of deformations, internal forces and support reactions. Load combination, extremes values of internal forces and deformations. Simplified slope method. 3D bar systems. Information on available software for structural analysis. Nonlinearities, theory of second order, stability. Finite element method. Basis of structural dynamics.
Institute of Structural Mechanics (STM)
Learning outcomes of the course unit
Structural analysis of axial forces in statically determinate trusses, simple built-in beam, plane frame, cable polynom and catenary. Loading of structures, influence of mobile load. Influence lines of static quantities exerted on a beam.
Explanation the principle of virtual work and theorem of reciprocity of virtual work. The enumeration of the translations and rotations of the straight and broken girders by the method of unit forces.
Recommended optional programme components
Recommended or required reading
Bittnar, Z., Šejnoha, J.: Numerical Methods in Structural Mechanics. ASCE Press, New York 1996
Zienkiewicz, O.C.: The Finite Element Method. McGraw-Hill 1973
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Language of instruction
1.Introduction. Solution of plane trusses by slope method. The computation model and the number of degrees of freedom.
2.Static conditions of the equilibrium, the parameters of the deflection, constrained nodes. The matrix formulation of the slope and deflection method.
3.A bar with a constant cross-section, fundamental deflection coefficients. Assembling of the primary vector based upon the end moments of a bar.
4.The analysis of a bar system, the assemblage of the system of equations, the code number and the localization.
5.The analysis of bars – the calculation of components of the internal forces, the diagrams of the normal, shearing forces and the bending moments.
6.Some particularities in the analysis of the rectangular frames and continuous girders.
Another version of the assemblage of the system of equations.
7.A truss girder solved by the slope and deflection method. Utilisation of the symmetry. Elastically connected bar.
8.Analysis of planar bar systems using the slope method.
9.Utilisation of the symmetry. Elastically connected bar.
10.The analysis of the spatial frames by the slope and deflection method.
11.Nonlinearities, theory of second order, stability.
12.Principles/Bases of finite element method.
13.Bases of structural dynamics.
Introduction to the stiffness Method for analysis of the statically indeterminate of planar bar systems. Simplification to the stiffness Method for analysis of planar bar systems, plane trusses. Influence of the beam haunch. Temperature effects, shifts of the supports.
Non-linear solution, theory of second order, stability of frames.
Principles of the finite element method. Introduction to the structural dynamics.
Specification of controlled education, way of implementation and compensation for absences
Extent and forms are specified by guarantor’s regulation updated for every academic year.