Course detail

Structural Analysis 2

FAST-BD004Acad. year: 2018/2019

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.

Department

Institute of Structural Mechanics (STM)

Learning outcomes of the course unit

The student will learn to solve elementary statically indeterminate frame structures using deflection method. In this course there will be solved planar continuous girder, planar frame and statically indeterminate truss girder, influence of temperature changes and shift of supports. The student will learn basic work with computer program RFEM and SCIA.

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

Application of integral number. Solution of linear differential equations.

Recommended optional programme components

Not applicable.

Recommended or required reading

Not applicable.

Planned learning activities and teaching methods

Teaching is divided into lectures and practice lessons. Teaching is completed by individual consultations. Individual work, which is given within the course, is a part of studying activity of each student. Participation of student on lectures is recommended. Participation of student on practice lessons is required and checked. Methods of teaching depend on way of teaching and these method are written in the article 7 – Studying and Examination rules for BUT.

Assesment methods and criteria linked to learning outcomes

Subject is finished by getting credits and passing examination. There are some control tests which are written during the semester in practice lessons. To get credit it is necessary to pass all tests during semester in practice lessons. To be able to do examination it is necessary to get credit. The examination consists of written and oral part. Written part is divided into (include) numerical and theoretic part. To get to the oral part it is necessary to be successful in numerical part.

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.

Classification of course in study plans

  • Programme B-P-C-SI (N) Bachelor's

    branch S , 3. year of study, winter semester, 5 credits, compulsory

  • Programme B-K-C-SI (N) Bachelor's

    branch S , 3. year of study, winter semester, 5 credits, compulsory

  • Programme B-P-E-SI (N) Bachelor's

    branch S , 3. year of study, winter semester, 5 credits, compulsory

  • Programme B-P-C-SI (N) Bachelor's

    branch K , 3. year of study, winter semester, 4 credits, compulsory

  • Programme B-P-E-SI (N) Bachelor's

    branch K , 3. year of study, winter semester, 4 credits, compulsory

  • Programme B-K-C-SI (N) Bachelor's

    branch K , 3. year of study, winter semester, 4 credits, compulsory

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

Syllabus

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.

seminars

26 hours, compulsory

Teacher / Lecturer

Syllabus

1. Revision of solution of elementary statically indeterminate systems using deflection method. Diagrams of internal forces. Analysis of statically and kinematic determinacy of frame systems.
2. Calculation models of frame structures for deflection method, analysis of kinematic indeterminacy. Solution of cranked statically determinate girder with forces loading using general deflection method.
3. Completion of solution of cranked statically determinate girder with force loading, ending forces, diagram of internal forces and reactions.
4. Solution of continuous girder with force loading using general deflection method.
5. Solution of more complicated statically indeterminate frames using general deflection method.
6. Completion of solution of more complicated frames – equation system, ending forces, diagram of internal forces and reactions. Control test 1.
7. Solution of girders with forces and deflection loading.
8. Complexion solution of statically indeterminate frame using deflection method.
9. Completion of solution of complexion frame – equation system, ended forces, diagram of internal forces and reactions. Control test 2.
10. Truss system solved by general deflection method.
11. Completion of solution of truss system. Correction test. Credits.
12. RFEM-SCIA: Introduction to environment of system, input of new project, units, materials and cross-sections. Input and calculation of continuous girder including cantilever. Loading forms and its combinations.
13. RFEM-SCIA: planar frame – chessboard loads, temperature loads and shift of supports, evaluation of results.