Strenght of Materials II

Recommended Prerequisites

Strength of Materials I, Elasticity and Plasticity, Applied Mechanics.

Teaching Methods

The objective of the Strength of Materials is the study of basic concepts used not only to other topics in the following years of the Mechanical Engineer Master but also for the future that have to design structural elements. For this reason the presence of students in class seems essential once the continuous monitoring of the matter helps its understanding, a fundamental condition to profit the knowledge obtained in the course. Thus, all students who do not have the status of student workers must be presents in the classes.

Learning Outcomes

The Strength of Materials studies the behavior of structures taking into account theuse  conditions and the stresses to which are subjected. The objectives of the Strength of Materials can be divided into two areas:

- The first, checks the stability of the elements, if external loads and materials used in the manufacture are known. Through the analysis of the stress and strain states developed is possible to verify the design and dimensions of the structure;

- The second, defines the forms and dimensions, as well as the mechanical properties of materials to be used if the external loads and the role played by the structural elements are known. It is the well known problem of the project.

Although divided in two semesters, identified as Strength of Materials I and II, the programs of these course unities are complementary once the subjects taught in these courses follow a sequence that requires the attending of the first to understand the issues studied in the second.

Work Placement(s)

No

Syllabus

Elements requested by bending (continued): biaxial bending and tensile (compressive) eccentric; beams of strong curved axle. Bending of composite beams: riveted, welded, with composed section. Structural elements subjected to bend and torsion: dimensioning structural elements subject to multiple by the Tresca and Von-Mises criteria. Application of the energy methods to calculate displacements: potential energy of deformation; Castigliano theorem and it generalization; theorem of reciprocity of work and displacement. Solving hyperstatic systems by the method of forces: the hyperestaticity degree; canonical equations; use of the symmetry properties of structures and systems of forces; hyperstatic continuous beams. Elastic instability - buckling: Euler problem, determination of critical load and it dependence on boundary conditions, the buckling sizing. Introduction to the study of shells of revolution: equations of equilibrium. Introduction to charging impact.

Head Lecturer(s)

Ana Paula Bettencourt Martins Amaro

Assessment Methods

Assessment
Resolution Problems: 10.0%
Mini Tests: 10.0%
Frequency: 80.0%

Bibliography

Sousa Cirne J. M., Apontamentos de Resistência de Materiais (Estática) – Parte I;

Sousa Cirne J. M., Apontamentos de Resistência de Materiais - Parte II;

Beer, F.P., Johnston, E.R., Eisenberg, E.R., Mecânica Vectorial para Engenheiros - Estática, 7ª Edição, McGraw-Hill;

Beer, F.P., Johnston, E.R.; DeWolf J.T. Resistência dos Materiais, 4ª Edição,  McGraw-Hill;

J.F. Silva Gomes Mecânica dos Sólidos e Resistência dos Materiais, Edições INEGI, Porto.