Strength of Materials 2
| Code: | L.EC018 | Acronym: | RM2 |
| Keywords | |
|---|---|
| Classification | Keyword |
| OFICIAL | Basic Sciences |
Instance: 2021/2022 - 2S 
| Active? | Yes |
| Responsible unit: | Construction Materials Division |
| Course/CS Responsible: | Bachelor in Civil Engineering |
Cycles of Study/Courses
| Acronym | No. of Students | Study Plan | Curricular Years | Credits UCN | Credits ECTS | Contact hours | Total Time |
|---|---|---|---|---|---|---|---|
| L.EC | 230 | Syllabus | 2 | - | 6 | 65 | 162 |
Fields changed: Teaching methods and learning activities, Programa, Obtenção de frequência, Fórmula de cálculo da classificação final
Teaching language
Suitable for English-speaking studentsObs.: Obs.: Não há turma em Inglês
Objectives
JUSTIFICATION:
The theoretical and theoretical-practical subjects of Mechanics of Materials and Strength of Materials are essential steps in the domains of Civil Engineering. They provide physical solutions for problems where the geometry is simple (linear bars), although the rheological behavior of the material may be more extended (non-linear elasticity, plasticity, elasto-plasticity, etc.), as well as for parts made up of two or more materials (with localized discontinuities). The study of the Strength of Materials is based on an understanding of basic concepts and the use of simplified models.
OBJECTIVES:
To determine the stresses and strains at any point of linear parts subjected to axial stresses, bending, shear and torsion, and their combinations. To study the state of stress and deformation at a point (2D and 3D). To study the instability of compressed bars (Buckling). General Security Criteria.
Learning outcomes and competences
Knowledge: To know the fundamental concepts of the Strength of Materials and simplified models for interpretation the states of stress and states of strain in linear bars, referring to the effects of axial stress, transverse stress, bending and torsion moment. Yield and failure criteria. Analysis of elastic instability in axially compressed bars.
Understanding: Understand the stress distribution and the deformational behavior of linear bars, in addition to assimilating the concept of the material safety criterion.
Application: Solving practical exercises directed towards the analysis of real problems in civil engineering.
Analysis: Analysis, discussion and critical interpretation of results, demonstrating the potential of the models and their limitations.
Summary: Formulate simple solutions for practical applications in civil engineering.
Rating: Criticizing the chosen solutions and methodologies used, demonstrating the capabilities of the models and their limitations.
Working method
PresencialPre-requirements (prior knowledge) and co-requirements (common knowledge)
SPECIAL RULES FOR MOBILITY STUDENTS:
Program
"Technical" shear, elements for the calculation of screwed and welded connections. Interface shear stresses and shear stresses in simple bending. Shear stresses in beams of thin wall and open section. Torsional or shear center. Shear stresses in single-cell box beams. Deformations due to the shear effort, reduced shear section, warping of the transversal sections.
Chapter 2 – Torsion
Bars of circular section. Membrane analogy, rectangular sections, open sections of thin walls. Tubular bars of thin wall, Bredt formulas.
Chapter 3 - Combination of N-M-V-T efforts
3.1. Composite Bending (N, M): Bars subject to composite bending, Symmetrical and Unsymmetrical. Diagram of normal stresses. Concepts of Central Core and Pressure Center. Bars made of non-tensile-resistant materials. Diagram of normal stresses when the pressure center is outside the central core but existing in a symmetry plane.
3.2. Combination of 6 efforts (N, M, V, T): Members subject to the general combination of efforts (N, M, V and T). Identification of stresses near a point according to the cross-sectional plane and according to longitudinal shear plane (cube).
Chapter 4 -Stress state in 2D and 3D
Stress transformation. Mohr's Circle Method. Determination of the principal stresses and their orientation. Stress state in a 3D medium. Circle of Mohr in 3D. Determination of the maximum absolute stresses (normal and tangential). Absolute maximum stresses in thin-wall boilers under internal pressure.
Chapter 5 - Strain state in 2D and 3D
Generalized Hooke's Law. State of strain near a point (cube) associated with its state of stress. Plain Strain State. Principal strains and associated directions.
Chapter 6 – Buckling
Axially compressed bars. Critical loads in perfect and imperfect bars. Concepts of buckling length, slenderness coefficient and buckling coefficients.
DISTRIBUTION OF MATTERS: Chapter 1: 25%; Chapter 2: 9%; Chapter 3: 17%; Chapter 4: 31%; Chapter 5: 9%;
DEMONSTRATION OF THE SYLLABUS COHERENCE WITH THE CURRICULAR UNIT'S OBJECTIVES:
The theoretical and practical subjects of Materials Mechanics and Strength of Materials constitute essential steps in Civil Engineering. They provide physical solutions for problems with simple geometry (linear elements), although the rheological material behavior can be wider (non-linear elasticity, plasticity, elasto-plasticity, etc.), and admit elements constituted of two or more materials (with locaL discontinuities). The study of strength of materials is based on the understanding of basic concepts and the use of simplified models.
Mandatory literature
Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David. F. Mazurek; Mecânica dos Materiais, MCGRAW-HILL, 2015. ISBN: 9788580554984Victor Dias da Silva; Mecânica e Resistência dos Materiais, Ediliber, 1995
Complementary Bibliography
Russell C. Hibbeler; Mechanics of Materials in SI Units, 10/E. ISBN: 1292178205Luís Filipe Pereira Juvandes; Resistência de Materiais 1+2
Luís Filipe Pereira Juvandes; Resistência de materiais 2
Comments from the literature
- Mandatory Bibliography: Basic books to support the study.- Complementary Bibliography: Books / Documents of didactic support complementary to classes.
Teaching methods and learning activities
Practical classes: synchronous classes with the distribution of worksheets with problems to solve, chapter by chapter; teacher’s support to the students, individually, throughout the solution; if the whole class has a common doubt, the teacher will clear it to the class, so that the problem can be surpassed.
DEMONSTRATION OF THE COHERENCE BETWEEN THE TEACHING METHODOLOGIES AND THE LEARNING OUTCOMES:
The used teaching methodologies allow to solve practical exercises directed to the analysis of real civil engineering problems, analysis, discussion and critical interpretation of results, emphasizing the potential of models and their limitations.
keywords
Technological sciences > Engineering > Civil engineering > Structural engineeringEvaluation Type
Distributed evaluation with final examAssessment Components
| Designation | Weight (%) |
|---|---|
| Teste | 25,00 |
| Exame | 75,00 |
| Total: | 100,00 |
Amount of time allocated to each course unit
| Designation | Time (hours) |
|---|---|
| Estudo autónomo | 65,00 |
| Frequência das aulas | 70,00 |
| Total: | 135,00 |
Eligibility for exams
A student is considered to have attended a curricular unit if, having been regularly enrolled, does not exceed the limit number of absences corresponding to 25% of the theoretical-practical classes foreseen in the current academic year.
The following cases are exempt from obtaining Frequency:
- Provided for by law;
- Students who have fulfilled the conditions of attendance in previous academic years of the MIEC course.
This point refers only to the obligation of Frequency (Attendance). The information about grades and classifications is provided in a specific part of this document. It is emphasized that the student's classification in all the assessment components is always obtained in the school year in progress.
Calculation formula of final grade
1. GENERAL ASPECTS
The Final Grade (CF) is defined based on a Distributed Assessment and a Final Exam in the Regular Season and/or in the Appeal Season. The Distributed Assessment is optional and it is not counted in the case of Exam for Improvement of Classification. Students who do not succed in the Regular Season are admitted to the exam in the Appeal Season. All assessment components are expressed on a scale of 0 to 20.
The method of assessment and the calculation of the classification may be changed according to the limitations imposed by combating the pandemic.
2. DISTRIBUTED ASSESSMENT (AD)
The Distributed Assessment is optional and is always done for the school year in progress. It consists in two tests (AD1 and AD2), with equal quotations, and a total weight of 25%. These tests are a written test without consultation, on dates to be announced. The matter being evaluated in the 2 tests (AD1 and AD2), in terms of exercise sheets, is published after the publication of the AD Exams calendar defined by L.EC. The student's classification in the Distributed Assessment is given by:
CAD = 0,5 CAD1 + 0,5 CAD2
where CAD1 and CAD2 represent the student's classification in the testes AD1 and AD2 respectively, rounded to one decimal. If the student does not perform an assessment component, a classification of zero is attributed to that component. The CAD grade is rounded to one decimal.
3. REGULAR SEASON (EN)
The final exam, to be made in the Regular Season, is a written test without consultation, about all of the Course Unit's programme. The Regular Season Classification (N) is given by:
N = max { 0,25 CAD + 0,75 CEN ; CEN }
where CEN represents the student's classification in the Regular Season's final exam, rounded to one decimal. The N grade is rounded to the unit.
4. APPEAL SEASON (ER)
The final exam, to be made in the Appeal Season, is a written test without consultation, about all of the Course Unit's programme. The Appeal Season Classification (R) is given by:
R = max { 0,25 CAD + 0,75 CER ; CER }
where CER represents the student's classification in the Appeal Season's final exam, rounded to one decimal. The R grade is rounded to the unit.
5. CALCULATION OF FINAL GRADE (CF)
The Final Grade (CF) is given by the following formula:
CF = max {N ; R}
The maximum Final Grade CF obtained under the conditions described before is limited to 16 values. To obtain higher classification is necessary to conduct a complementary oral test in conditions to be agreed with the regents of UC (no need to register with FEUP's Central Secretariat).
Examinations or Special Assignments
Not applicable.Internship work/project
Not applicable.Special assessment (TE, DA, ...)
The knowledge assessment for Students who require Special Exams, under the FEUP Evaluation Rules, will be carried out exclusively at a single moment by performing a written exam on all the subjects taught at UC, without consultation. The Special Exam classification, between 0 and 20 points, is rounded to the unit.
SPECIAL RULES FOR MOBILITY STUDENTS:
The assessment of students in these conditions is performed according to the criteria described in the fields "Calculation formula of final grade " and " Classification improvement ".
Classification improvement
The Classification Improvement is based on a written test in the Grade Improvement Season (FEUP's Specific Regulation for Student Assessment). The student's classification in that final exam is denoted by CM, between 0 and 20 points. The student's Final Grade is given by:
CM = CEN (ou CER) (rounded to the nearest integer)
CF = max {CA; CM}
where CA represents the student's Approval grade previous and does not enter the Distributed Assessment component.
The maximum Final Grade CF obtained under the conditions described before is limited to 16 values. To obtain higher classification is necessary to conduct a complementary oral test in conditions to be agreed with the regents of UC (no need to register with FEUP's Central Secretariat).
Observations
Working time estimated out of classes: 5 hours.
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