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Mechanics of Materials II

Scholar Year: 2020/2021 - 2S

Code: EM22227    Acronym: MM
Scientific Fields: Mecânica dos Meios Sólidos
Section/Department: DEM - Department of Mechanical Engineering

Courses

Acronym N. of students Study plan Curricular year ECTS Contact time Total Time
EM 36 6,0 60 162,0

Teaching weeks: 15

Head

TeacherResponsability
Aníbal Jorge de Jesus ValidoHead

Weekly workload

Hours/week T TP P PL L TC THE EL OT OT/PL TPL S
Type of classes 4

Lectures

Type Teacher Classes Hours
Theorethical and Practical classes Totals 1 4,00
Aníbal Valido   4,00

Teaching language

Portuguese

Intended learning outcomes (Knowledges, skills and competencies to be developed by the students)

Studying the stress and the strain state at a point; analyze the changes in the respective components caused by a rotation of the coordinate axes (for plane stress and plain strain). Convey the concept of stability of a column and calculate its critical load for different types of support. Enable students with the necessary knowledge to analyze simple structures using energy methods and matrix analysis of structures.

Syllabus

1 - Stress and strain (10 hours)
2 - Energy methods (10 hours)
3 - Plane truss structures (8 hours)
4 - Columns (8 hours)
5 - Matrix analysis of structures. Introduction to the Finite Element Method (20 h)

Software

Programa comercial de Elementos Finitos


Demonstration of the syllabus coherence with the UC intended learning outcomes

1 - Stress and Strain
Know the transformation of plane stress and plane strain (coordinates transformation). Represents the Mohr´s circle for plane stress and plane strain. Evaluate the principal stresses, principal strains, principal directions, maximum shear stress and maximum shear strain.
2 - Energy methods
Know the principal energy theorems and apply them to the calculation of the reaction forces and deformations of statically determinate and statically indeterminate structures.
3 - Plane Truss structures
Classify the truss structures and determine the internal forces and deformations in statically determinate and statically indeterminate plane truss structures
4 - Columns
Know the elastic stability phenomena and determine the Euler’s buckling load of simple structural elements with different end conditions. Design columns under centric and eccentric load.
5 - Matrix analysis of structures. Introduction to the Finite Element Method
Know the fundamentals of matrix analysis of structures and apply them to simple cases. Use a commercial finite element program to static analysis of truss and beam structures.

Teaching methodologies

Theoretical-Practical classes: Theoretical exposure of the subjects followed by problems solving

Demonstration of the teaching methodologies coherence with the curricular unit's intended learning outcomes

The Theoretical-Practical classes are composed by an expositive part, where the fundamental concepts of the different subjects are presented, followed by problems solving. The students are stimulated to participate in the resolution of the problems.
There are classes where students use a commercial Finite Element program to solve simple problems of static analysis of bar and beam structures.

Assessment methodologies and evidences

a) Continuous assessment:
Performance of two tests (T1, T2) and two practical works (TR1, TR2).
The final grade (FG) is given by:
FG=0,70*(T1+T2)/2+0,15*TR1+0,15*TR2

Conditions for approval in the course:
(T1+T2)/2 >= 9 values
FG >= 9,5 values;

a) Exam assessment:
Performance a final exam (EX)
The final grade (FG) is given by:
FG=EX

Conditions for approval in the course:
EX >= 9,5 values;


Comments:
Test 1 focuses on chapters 1 and 2 of the course program.
Test 2 focuses on chapters 3 and 4 of the course program.
The Exam focuses on all chapters of the course program.
Students who have carried out continuous evaluation and failed, can recover the tests in the normal assessment period.

Assement and Attendance registers

Description Type Time (hours) End Date
Attendance (estimated)  Classes  54
 Work  30
 Work  30
 Study  50
  Total: 164

Primary Bibliography

F.P. Beer, E.R. Johnston, J.T. DeWolf;Resistência dos Materiais, McGraw-Hill, 2006. ISBN: 85-86804-83-5
A. Valido;Estruturas Articuladas Planas, 1996 (Folhas da UC)
A. Valido;Introdução à Análise Matricial de Estruturas, 2003 (Folhas da UC)

Secondary Bibliography

A. Valido, J. Duarte Silva;Introdução à Extensometria Elétrica de Resistência, 1997 (Folhas da UC)

Observations

Dates of assessment tests:
T1 - 16-04-2020 (na aula)
T2 - 14-05-2020 (na aula)
TR1 – de 16-03-2020 a 11-05-2020
TR2 – de 01-06-2020 a 25-06-2020

The tests last for 1h 30min and the final exam last for 2h 00min.
The practical works are carried out in groups of 2 or 3 students.

The tests and the final exam are done without consultation, and a form is distributed.
Plagiarism of any evaluation component (test, final test or lab work) will be reported superior for disciplinary action.


Justification of the ECTS

Registered Assessment Components and Occupation = 160 h
Average value = 160/27 = 6 ECTS
Note: 1 ECTS corresponds to 27 hours of work

Attendance hours:
Tuesday: from 3:00 p.m. to 4:30 p.m.
Thursday from 3:00 p.m. to 4:30 p.m.

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