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Course detail

Structural Analysis 2

Course unit code: FAST-BD004
Academic year: 2017/2018
Type of course unit: compulsory
Level of course unit: Bachelor's (1st cycle)
Year of study: 3
Semester: winter
Number of ECTS credits:
Learning outcomes of the course unit:
The student will learn the structural analysis of the statically indeterminate planar bar systems by the stiffness method, namely plane frames and plane trusses, including the temperature effects and shifts of the supports.
Mode of delivery:
90 % face-to-face, 10 % distance learning
Prerequisites:
Static analysis of planar statically determinate truss systems, straight and cranked girders. Principle of virtual work and theorem of virtual work reciprocity and calculation of deflection of frame systems by using method of unit forces. Solution of planar frame structures using force method.
Co-requisites:
Not applicable.
Recommended optional programme components:
Not applicable.
Course contents (annotation):
Principle of deflection methods and its variant. Calculation model and degree of kinematic indeterminacy. Deflection method for planar structures. Analysis of straight bar with variable cross-section. Local values, primary vector and stiffness matrix. Bar connected by joints, cantilever. Bar with constant cross-section. Geometric transformation, global matrix of bar. Analysis of bar systems, compilation of equations, localization. Determination of ended forces and diagram of components of internal forces at bars. Determination of reactions and controlling of solution. Another variants for building equations up.
Solution of rectangular frames and continuous girders. Temperature influences, shift of supports. Truss girder is solved by deflection method. Bar with variable cross-section with height linear ramping, determination of deflection coefficient. Solution of spatial frames using deflection method. Calculation model for simplified deflection method.
Recommended or required reading:
Not applicable.
Planned learning activities and teaching methods:
Not applicable.
Assesment methods and criteria linked to learning outcomes:
Not applicable.
Language of instruction:
Czech, English
Work placements:
Not applicable.
Course curriculum:
1. Introduction, content and outline of the subject. Meaning of deflection method, creation and development of this method, variants of deflection method. Calculation model and degree of kinematic indeterminacy.
2. General deflection method for planar frame structures. Equilibrium of conditions, parameters of deflection, bounded nodes. Scalar and matrix form.
3. Analysis of straight bar with variable cross-section: primary and secondary state.
4. Local values, primary vector and the stiffness matrix. Bar connected by joints, cantilever.
5. Bar with constant cross-section. Geometric transformation, global matrix of bar.
6. Analysis of the frame system, compilation of the system of equations, code number and localization.
7. Completion of solution of bars – calculation of internal forces and deflection at bars. Determination of reactions and controlling of the solution. Errors during the solution of frames by using deflection method. Another variant for assembly of equations.
8. Speciality of solution of rectangular frames and continuous girders. Temperature influences, shift of supports.
9. Truss girder is solved by using deflection method.
10. Bar with variable cross-section, height linear ramping, determination of deflection coefficients (analytic solution, numerical integration)
11. Solution of spatial frames solved by general deflection method.
12. Calculation model for simplified deflection method in scalar form.
13. End moments, internal forces. Joint and storey equation.
Aims:
Introduction to the stiffness Method for analysis of the statically indeterminate of planar bar systems. Simplification to the stiffness method and deflection method for analysis of planar bar systems, plane trusses. Influence of the beam haunch.
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.

Type of course unit:

Lecture: 26 hours, optionally
Teacher / Lecturer: doc. Ing. Jiří Kytýr, CSc.
seminars: 26 hours, compulsory
Teacher / Lecturer: doc. Ing. Jiří Kytýr, CSc.

The study programmes with the given course