Ternopil Ivan Puluj National Technical University

Каф. будівельної механіки

CAE Software in Civil Engineering


1. Educational programs for which discipline is mandatory:

# Educational stage Broad field Major Educational program Course(s) Semester(s)
1 bachelor's 19. Архітектура та будівництво 192. Будівництво та цивільна інженерія (бакалавр) 4 8

2. The course is offered as elective for all levels of higher education and all educational programs.

3. Information about the author of the course

Full name Сорочак Андрій Петрович
Academic degree Cand. Sc.
Academic title Assoc. Prof.
Link to the teacher`s page on the official website of the University
Е-mail (in the domain

4. Information about the course

Study hours structure Lectures: 32
Practical classes: 48
Laboratory classes: 0

Amount of hours for individual work: 130
ECTS credits: 7
Teaching language english
Form of final examination exam
Link to an electronic course on the e-learning platform of the university

5. Program of discipline

Description of academic discipline, its goals, subject of study and learning outcomes

The purpose of the course is to provide knowledge about calculations of building structures by finite elements method for static and dynamic types of load, creation of discrete calculation models of structures and analysis of their behavior, as well as methods of automated calculation and construction of elements of structures on the example of the software complex LIRA-SAPR.
Course objective:
- to acquaint students with the basics of the finite element method for the analysis of the stress-strain state of structures;
- develop skills of application of modern software for automation of calculation, research and design of building structures;
- master the basic methods and techniques of the formation of discrete calculation schemes of building structures, their calculation on different types of static loads, temperature, deformation and dynamic actions.

Contents of the academic discipline

Lectures (titles/topics)

1. Topic 1. General characteristics of software for engineering calculations.
Introduction. Brief description of software for engineering calculations. Software complexes for computer simulation of constructions
2. Topic 2. Finite elements method.
General information about FEM. History of FEM development. Implementation of FEM in modern software complexes. Stiffness matrix of a finite element. Formation of the stiffness matrix of the model. Applying loads to the nodes of the model.
3. Topic 3. Results of calculations of FEM constructions.
Solving systems of linear algebraic equations of the FEM. Determination of displacement and forces in the elements of the scheme. Determination of stresses and their diagrams.
4. Topic 4. The structure of PC LIRA-SAPR and the procedure for creating a calculation model.
The order of creation of the calculation model. General characteristics of LIRA-SAPR. Structure of LIRA-SAPR. Graphical environment of LIRA-SAPR.
5. Topic 5. Library of finite elements of LIRA-SAPR.
Features of the library of finite elements. Universal rod. Universal finite element of a flat task. Universal finite element of the spatial problem. Special finite elements.
6. Topic 6. Principles of constructing finite-element models.
General terms. Coordinate systems. Signs of the scheme. Pure rotation angle. Consideration of straight and oblique symmetry. Modeling joints in rod and plane elements. The introduction of connections of finite rigidity.
7. Topic 7. Rational breakdown on finite elements.
The principle of fragmentation of the design model. Superelement modeling. Combination of different types of finite elements. Merge displacements. Absolutely rigid bodies.
8 Topic 8. Characteristics of the stiffness of the elements of the calculation scheme.
Assigning stiffness to the elements of the calculation scheme. Construction of cross sections using the LIR-KS system. Database of sections of rolled products.
9. Topic 9. Design combinations of loads. Design combination of forces.
Principles of determining the design forces combinations. Formation of DCF and DCL in LIRA-SAPR.
1 2
10. Topic 10. Selection and check of reinforcement of RC structures.
Designation and capabilities of design systems for reinforced concrete structures in LIRA-SAPR. Reinforcement of rod elements. Reinforcement of plate elements. Check the given reinforcement. Assigning of structural elements and unification in the calculation of reinforcement.
11. Topic 11. Calculation and design of steel constructions.
The purpose and capabilities of the STK-SAPR system. Additional data for the calculation of cross sections. Design of knots, welded and bolted joints. Cross-through and local calculation of items. Presentation of the results of the calculation. Assigning of structural elements and unification in the selection of cross-sectional elements.
12. Topic 12. Calculation of structures on an elastic basis.
Inspection of work of structures together with an elastic basis. Classic Winkler Foundation Model. Foundation model of Pasternak. Modified Winkler Foundation Model.
13. Topic 13. Calculation of structures for dynamic impacts.
General characteristics of calculations for dynamic effects. Seismic load. Wind load with pulsations. Calculation for a given harmonious load. Calculations for impulse and shock effect. Own and forced fluctuations of structures. Modal analysis. Presentation and analysis of calculation results for dynamic loads.
14 Topic 14. Model calculation performing. Estimation of accuracy of calculation results.
Sequence of the calculation of the model. Manage calculation processors of LIRA-SAPR. Protocol of problem solving. Simultaneous use of multiple calculation schemes. Comparison of estimated and experimental data. Verification of the software complex.
15 Topic 15. Analysis and interpretation of calculation results. Documenting the results of the calculation.
Visualization of the results of calculations. The problem of analyzing the results. Check the adequacy of the results. Creating standard and interactive tables. Automatically generated explanatory note. Graphic documenter.
16 Topic 16. Sharing information between different software tools.
Import data about the calculation model. Export of calculation and design results to CAD systems. Export of text and tabular information.

Laboratory classes (topics)

1 Introductory lesson. Safety instructions. Static beam calculation.
2 Static calculation of a flat frame
3 Design combinations of loads
4 Calculation of the stress-strain state of the beam-wall
5 Calculation of cylindrical reservoir
6 Calculation of a flat combined system using superelements
7 Reinforcement of reinforced concrete elements
8 Calculation and construction of plates
9 Calculation and design of metal constructions
10 Calculation and construction of trusses
11 Calculation of spatial combined system
12 Calculation of the frame for dynamic effects
13 Calculation and design of a metal tower
14 Nonlinear calculation of the double-edged beam, taking into account the creep of concrete
15 Calculation of reinforced concrete frame in a physically nonlinear formulation
16 Calculation of the cable truss
17 Calculation of a mast in geometrically nonlinear formulation
18 Calculation of the stress-strain state of structures, working together with the foundation
19 Calculation of structures on a soil basis
20 Calculation of industrial building frame

Learning materials and resources

1. Concepts and Applications of Finite Element Analysis [4th ed.] / Robert Cook, David Malkus, Michael Plesha, Robert Witt. – John Wiley & Sons Inc., 2012. – 719 p.
2. Finite Element Method with Applications in Engineering / Y. M. Desai, T. I. Eldho, A. H. Shah. – Pearson Education, 2011. – 492 p.
3. Larson, M. The Finite Element Method: Theory, Implementation, and Applications / Mats G. Larson, Fredrik Bengzon. – Springer Science & Business Media, 2013. – 395 p.
4. Whiteley, J. Finite Element Methods: A Practical Guide / Jonathan Whiteley. – Springer, 2017. – 232 p.

1. Engineering Computation of Structures: The Finite Element Method / Maria Augusta Neto, Ana Amaro, Luis Roseiro, José Cirne [et al.]. – Springer, 2015. – 314 p.
2. Practical Finite Element Analysis / Nitin Gokhale, Sanjay Deshpande, Sanjeev Bedekar. – Finite to Infinite, 2008. – 446 p.
3. Ragab, S. Introduction to Finite Element Analysis for Engineers / Saad A. Ragab, Hassan E. Fayed. – CRC Press, 2018. – 552 p.
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