Analysis of Structures

Base Knowledge

– Ability to conduct research, read and interpret concepts
– Ability to write and synthesize text
– Computer skills from the user’s perspective, digital writing of documents and creation of work reports.
– Capacity and motivation for research, use and application of software for the calculation of structures.
– Acquired knowledge and applied practice of elementary bases: quantities, systems of units, notion of vectors and their characteristics, geometric, physical and mechanical relationships, graphical representation of equations.
– Knowledge acquired and consolidated in previous curricular units: concepts of forces and moments, principles of balance and superposition of effects, calculation of reactions, efforts and their graphic representation for structures; deformations, mathematical calculation and numerical integration. Interpretation of results.
– Sense of cooperation, mutual help, collaboration and spirit of knowledge sharing, with practical interest in carrying out activities, individually and in work groups.

Teaching Methodologies

The classes will be taught in Portuguese, having as object of work and learning the syllabus presented. It is expected that the lessons will have, whenever possible, different moments in the knowledge transmission methodology:
1) accompanied study in the learning achieved by the students, clarification of doubts and practical support at work and/or solving exercises/problems,
2) discussion and presentation of weekly research papers carried out by the working groups about contents of UC.
3) expository presentation of contents by the teacher, with possible practical resolution of example exercises, followed by discussion between the teacher, students and groups of students about the themes and exercises presented.
An expository presentation will be used during the explanation of theoretical subjects to support learning with the practical resolution of exercises. Students will be encouraged to carry out a practical work of technical and scientific interpretation and on contents and a practical interpretation approach through individual and group research. Without obligation, the research should result in information in a documents made available to all students through the sharing of documents in the forum of the Inforestudante, platform, or even on student pages.
The learning will be monitored by the students, by clarifying doubts, supporting the resolution of exercises and guiding practical work, and there must be a writing of personal study works. The presentation of these documents, will be made every week, and by presentation in conversation groups and in the forum of the Inforestudante platform.
As long as it is feasible, it is considered, that during class hours, a visit to works or structures may be made, either on the Institute’s own campus or outside. To occur, students will be challenged to present images and description of the verified situations. Not being feasible, students will be encouraged to do, for their own reasons, personal record of examples of works or structures of interest within the scope of the discipline’s content, being invited to present work with description and images of the observed.
These processes aim at the individual responsibility of the student, and at the same time, to increase the ation to knowledge sharing between, for and with the other colleagues. The student is individually assessed for the knowledge acquired, for their potential to interpret the intended objectives for the resolution and understanding of exercises and contents, as well as for their ability to organize ideas and consequent exposure of knowledge. At the same time, you will be evaluated for your collaboration with your colleagues, either for the work developed in a group or for your motivation to collaborate in the learning of your colleagues.
After the academic weeks, each student will take a written test with questions about the syllabus, with space for presenting exercise proposals that demonstrate their ability to identify problems and their resolution. There will be a part of problems fundamentals for which a minimum quote will be required.

Learning Results

Goals:
– Acquisition of knowledge about the behavior of statically undetermined structures in a linear regime.
– Ability to analyze structures and their behavior, solving exercises to determine efforts and displacements.
– Understanding the essential basis of analysis, design and intervention at a structural level that contribute to your student’s success as a future civil engineer.

Generic Skills:
– Increase of skills in the areas of communication and transfer of knowledge and knowledge;
– Application and demonstration of skills acquired through methods of study and personal work in individual and group tasks;
– Motivation to use self-learning methods and skills development accompanied by the expected teaching methods;
– Application of knowledge and physical understanding of phenomena through technical, scientific and pedagogical interconnection;
– Development of competence for carrying out judgment and decision-making.

Specific Skills:
– Acquire knowledge and ability to understand the behavior of building structures;
– Promotion of the ability to observe practical situations with a view to the need for intervention;
– Encouraging the development of analysis and calculation methodologies in response to actions and effects on structures;
– Ability to intervene and form proposals for improving structural behavior, through rehabilitation, reinforcement or basic design actions.

Program

PART 1 – Introduction and Elementary Concepts
1. INTRODUCTION TO THE UNIT, REVISIONS AND BASIS FOR THE CALCULATION OF ELEMENTS AND STRUCTURES
Functioning of the curricular unit, learning process, teaching and assessment system
Review of contents covered in previous curricular units and subjects
Actions, reactions, efforts and representation and determination of diagrams of efforts in isostatic structures;
Examples of application of concepts, problems and questions and their practical resolution
2. ELEMENTARY NOTIONS FOR THE CALCULATION OF STRUCTURES
Practical application of acquired knowledge
Methods of analysis of staticity of structures and study of calculation procedures, balance of efforts in sections
Examples of application of concepts, problems and questions and their practical resolution
3. THE PATH OF CARGO: FROM ACTIONS TO EFFECTS
Review and practical application of acquired knowledge
Applications of elastic line calculation: methods, relationships, behavior evaluation
Tracing diagrams by equations; Tracing and prediction of deformations in structures
Examples of application of concepts, problems and questions and their practical resolution
4. APPLICATIONS BASED ON ENERGY THEOREMS
Energetic methods and importance for the evaluation of structures
Applications of calculus based on energy theorems; Behavior in linear tension-extension state
Deformation energy and potential energy; Calculation of displacements; Mathematical methods of integration.
Examples of application of concepts, problems and questions and their practical resolution
5. DEFORMED IN STRUCTURES AND STATIC AND KINEMATIC RELATIONSHIP
Evaluation of deformation in structural elements and in structures and relationship with static evaluation, cause and effect relationships
Applications of static-kinematic duality: action-reaction, load-displacement, stress-extension, efforts-discontinuities
Determination of deformations in structures by static and kinematic actions; sign convention for structural analysis;
Examples of application of concepts, problems and questions and their practical resolution

PART 2 – Methods of calculation and analysis of hyperstatic structures
6. METHOD OF FORCES – INTRODUCTION
Study on concepts of analysis of hyperstatic structures; Introduction and Fundamental Concepts
Introduction to the static method of solving hyperstatic structures; Analysis of beam elements;
Examples of application of concepts, problems and questions and their practical resolution
7. METHOD OF FORCES – APPLICATIONS
Practice of calculating displacements and discontinuities and application of superposition of effects
Application and physical interpretation of the calculation by the Forces Method, flexibility matrix;
Examples of application of concepts, problems and questions and their practical resolution
8. FORCES METHOD – CONSOLIDATION AND SPECIAL CASES
Study of problems for the practice of applying the Forces Method
Analysis of structures with support settlements, flexible supports and cables;
Compared applications of manual calculation and automatic calculation
Examples of application of concepts, problems and questions and their practical resolution
9. DISPLACEMENT METHOD – INTRODUCTION
Study on the identification of nodal deformations in the analysis of structures, isostatic or hyperstatic
Introduction and fundamental concepts of the kinematic method of solving structures – Displacement Method;
Relation of the displacement method as a dual method of the forces method; Degree of cinematic indeterminacy
Examples of application of concepts, problems and questions and their practical resolution
10. DISPLACEMENT METHOD – CONTINUED
Practice of calculating displacements and discontinuities and application of superposition of effects
Rigidity matrix and vector of clamping forces; Rationale of the displacement method.
Application and physical interpretation of the calculation by the displacement method.
Matrix formulation, and application to structures with inclined bars
Examples of application of concepts, problems and questions and their practical resolution
11. DISPLACEMENT METHOD – CONSOLIDATION AND SPECIAL CASES
Study of problems for the practice of applying the Displacement Method
Analysis of structures with support settlements, flexible supports and cables;
Compared applications of manual calculation and automatic calculation
Examples of application of concepts, problems and questions and their practical resolution

PART 3 – Lines of influence and practical applications
12. INFLUENCE LINES IN ISOSTATIC STRUCTURES
Research and study associated with Lines of influence and interests of practical application; Introduction and physical meaning
Static and kinematic methods for the determination of influence lines; General principles;
Application of the concepts of static and kinematic duality in isostatic structures
Examples of application of concepts, problems and questions and their resolution
13. INFLUENCE LINES IN HYPERSTATIC STRUCTURES
Research and calculation of lines of influence in isostatic and hyperstatic structures
Application of concepts for the definition of combination of actions
Examples of application of concepts, problems and questions and their practical resolution

PART 4 ​​– personal record of suggestion, collaboration and cooperation
14. PRESENTATION OF PROBLEM PROPOSALS AND STRUCTURAL SCHEMES
Research, review, practice of exercises and proposals for fundamental knowledge
Research, review, practice of exercises and problem proposals on hyperstatic structures
Research, review, exercises and proposals on practical applications of Lines of Influence concepts
15. REVIEW AND CONCLUSION, PROPOSALS AND SUGGESTIONS, INFORMATION AND DISCLOSURE
Summary description of information proposals to be included in the UC
Individual description of disclosure contents
Conclusion on the contents covered and knowledge acquired at the UC
Performance evaluation at the UC for the objectives initially defined (self-assessment, learning, motivation and attitude)

Curricular Unit Teachers

António José Pedroso de Moura Correia

Grading Methods

The course unit of Analysis of Structures (AE) has an assessment process consisting of a Final Written Exam (PEF) and Study, Research and Presentation Work (TEIA). The classification defined by:

  • 20 points in the final written exam (PEF)
  • 12 points in the written exam (PEF) + 8 points in descriptive work (TEIA)
  • REQUIREMENTS:
    Students must have a minimum attendance of 20% in classes to take the PEF
    Students must obtain a minimum grade of 50% in the final written exam (PEF)

where:
- PEF: Final Written Exam, mandatory and demonstrating individual knowledge

  • This exam, which is mandatory and individual as an exam at the end of the semester during the periods defined for its completion, is composed of three parts on the content: fundamental questions, calculation problems and applied practical questions in which the work developed during class time through study and research carried out, individually and/or in groups, is intended to be valued. group. As supporting evidence in the assessment of the exam (PEF), the following are considered: i) handwritten sheets with the answers to the questions presented in the exam, ii) the exam paper with the answers requested therein, iii) a printed sheet with a summary of topics on activities carried out during the semester referring to their participation, learning, and presentations made, and iv) a sheet with handwritten notes on content that the student wishes to include as support material for the final written exam.

TEIA: Study, Research and Presentation Works, carried out individually and/or in groups, during the school term, with the mission of encouraging innovation, cooperation and sharing of knowledge. These works are subdivided into two components: 1) TEI: Study and Research Description Works, individual and/or in groups (ability to collaborate, research, learn and commit); 2) TAI: Presentation Works, individual and/or in groups (demonstration of knowledge, motivation, ability to produce and share).

  • TEI: Study and Research Description Work, individual and/or in groups: completion of descriptive work in an online document shared among colleagues, with presentation of the description and compilation on topics resulting from the research for the production of an ARTICLE to be counted in the evaluation. The articles must address technical, scientific and/or pedagogical content resulting from the specific research, and must be submitted for review by external entities. For this component, participation in the description of content is considered, with careful, organized and properly formatted writing, previously inducing discussion (introduction), debate (content) and the sharing of knowledge (discussion and results) on the topics, or, if applicable, with the procedures for presentation, problem solving and discussion of results. These works may integrate content studied and/or presented in mini-reports, or presented in the TAI works.
  • TAI: Presentation Work, individual and/or in groups: completion of at least 2 PRESENTATIONS (in PowerPoint), describing tasks and activities developed through research and demonstration of knowledge that contribute to more didactic learning. In this way, it is expected that students, individually or in groups, respond to challenges posed by the teacher(s), or present their own challenges, such as: a) designing models, mock-ups or structures using various materials; b) research on topics of interest in the area of ​​structural analysis and structural mechanics; c) descriptive presentation on problems associated with the content and their respective solutions; d) presentations in ppt or pptx format on content described in TEI-type work; e) others to be presented by the teacher to the students, or by the students to the teacher, or among students. As supporting evidence for the evaluation of these works, documents completed and submitted in PowerPoint format will be considered. Presentation assignments should include a narration of the content, and therefore have a minimum presentation time of 5 minutes, and at least 5 slides of content.

Clarification on the procedures for conducting and carrying out the assignments will be provided by the teacher during class, at the time defined for this purpose.

Students who take knowledge assessments outside of the scheduled periods may be evaluated by a written exam, and/or an oral exam, and/or by presentation and defense of written work, and, if favorable, the grades for the component(s) that make up the frequent assessment that the student has completed will be counted. Approval requires obtaining a final grade of 9.5.


    Internship(s)

    NAO

    Bibliography

    Campanari, F. A. (1985). Theory of structures. Rio de Janeiro: Guanabara Dois.

    Fleming, J. F. (1997). Analysis of structural systems. Upper Saddle River, NJ: Prentice Hall.

    Frey, F. (1990). Analysis of structures and continuous media: Applied statics. Lausanne: Presses Polytechniques et Universitaires Romandes.

    Frey, F. (1994). Analysis of structures and continuous media: Applied statics (Vol. 1). Lausanne: Presses Polytechniques et Universitaires Romandes.

    GAE.IST. (2002). Structural analysis tables. Lisbon: Instituto Superior Técnico.

    Ghali, A., & Neville, A. M. (1979). Structural analysis: A unified classical and matrix approach (2nd ed.). London: Chapman and Hall.

    Gouveia, J. P. (2007). Structural mechanics: Lecture notes supporting theoretical and practical classes of Structures I (2006/2007). Coimbra: Department of Civil Engineering, Instituto Superior de Engenharia de Coimbra.

    Guedes, J. M. (2002). Displacement method. Porto: Department of Civil Engineering, Faculty of Engineering of the University of Porto.

    Laursen, H. I. (2014). Structural analysis (3rd ed.). New Delhi: McGraw Hill Education.

    Leet, K. M., Uang, C.-M., & Gilbert, A. M. (2009). Fundamentals of structural analysis (3rd ed.). São Paulo: McGraw-Hill.

    Martha, L. F. (2010). Structural analysis: Concepts and basic methods. Rio de Janeiro: Elsevier.

    Mau, S. T. (2015). Introduction to structural analysis: Force and displacement methods (1st ed.). Rio de Janeiro: Ciência Moderna.

    Pereira, E. M. (1994). Structural analysis I – Influence lines. Lisbon: Students’ Association of Instituto Superior Técnico.

    Riley, W. F., & Sturges, L. D. (1996). Engineering mechanics: Statics. New York, NY: John Wiley & Sons.

    Soriano, H. L. (2007). Structural statics: Force method and displacement method. Rio de Janeiro: Ciência Moderna.

    Soriano, H. L. (2016). Structural analysis: Classical formulations. Rio de Janeiro: LF Editorial.

    Timoshenko, S., & Gere, J. M. (1983). Mechanics of solids (Vols. I–II). Rio de Janeiro: Livros Técnicos e Científicos.

    works and documents presented by teachers and students in previous years, available in Inforestudante, Moodle and in the library.