Strength of Materials

Code:

L.EGI021

Acronym:

RM

Keywords
Classification	Keyword
OFICIAL	Physics

Instance: 2024/2025 - 1S

Active?	Yes
Responsible unit:	Applied Mechanics Section
Course/CS Responsible:	Bachelor in Industrial Engineering and Management

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L.EGI	128	Syllabus	3	-	6	58,5	162

Teaching language

Portuguese

Objectives

Learning outcomes and competences

This Curricular Unit (CU) is designed to provide the student with the fundamentals of structural analysis and the basic concepts of strength of materials. At the end of the CU the student should be able to:

- Understand and apply the equations of static equilibrium;

- Classify material systems in terms of their external connections;

- Evaluate reactions and internal forces in isostatic systems;

- Determine centres of mass, moments of inertia, products of inertia and principal moments of inertia;

- Characterise the stress state at a point and identify the plane stress state;

- Calculate principal stresses and principal facets using the Mohr circle;

- Characterise the strain state and know the stress-strain relationship (Hooke's law - isotropic materials);

- Estimate shear stresses and strains due to torsion of solid circular rods and tubes;

- Determine normal stresses due to bending of linear members;
- Estimate deflection of members by integrating differential equations;

-Calculate displacements, strains, stresses and reactions using the finite element method.

Working method

Presencial

Program

• Introduction to the Theory of Elasticity: concept of stress, equilibrium equations, principal stresses, stress state in cylindrical coordinates;


• Strain: concept of strain, transformation law of strain, principal strains, compatibility equations, graphical representation of strain;


• Stress-strain relationship; stresses in cylindrical bodies. Torsion of linear members: cylindrical shaft of circular section;


• Bending of beams - pure bending; a beam composed of different materials; deflected bending; combined bending with normal, torsional and cutting stresses; beam deformation in bending (elastic equation);


• Introduction to finite element method: finite element decomposition, interpolation of field variables, calculation of strain and stress state, application of virtual work principle, determination of stiffness matrix.

Mandatory literature

Gomes, J.; Mecânica dos sólidos e resistência dos materiais, 2004
Teixeira-Dias, F., Pinho-da-Cruz, J., Valente, R. & Alves de Sousa, R. ; Método dos Elementos Finitos: técnicas de simulação numérica em engenharia, ETEP - Edições Técnicas e Profissionais, 2010
Bower, A. ; Applied Mechanics of Solids, CRC Press., 2009

Complementary Bibliography

George Thomas Mase; Continuum mechanics for engineers. ISBN: 0-8493-1855-6

Teaching methods and learning activities

The course comprises one theoretical lesson of 1.5 hours and two theoretical-practical lessons per week of 1.5 hours each. This type of class allows for the presentation of theoretical concepts, followed by several practical application examples in the theoretical-practical classes.

Software

Não aplicável.

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Designation	Weight (%)
Exame	75,00
Teste	25,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Estudo autónomo	103,50
Frequência das aulas	58,50
Total:	162,00

Eligibility for exams

There is a limit to absentism at practical classes, according to general rules of our faculty.

Calculation formula of final grade

Final Classification: 25% of the first test + 75% of the second test.
In the resit exam, the students will carry out a final exam.
It is not allowed to consult any text during the examination.

Examinations or Special Assignments

Not applicable.

Internship work/project

Not applicable.

Special assessment (TE, DA, ...)

Those in the General Evaluation Rules in force.

Classification improvement

Those in the General Evaluation Rules in force.

Observations

Finishing Course: marks higher than 18 are subject to defense by an oral examination.