Strenght of Materials I

Recommended Prerequisites

Numerical Analysis and 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

Study of the equilibrium of the bodies: types of supports and loads. Determination of the internal actions in isostatic structures: type of internal actions and diagrams. Internal actions determination in reticular systems. Introduction to elementary analysis of stresses and strains; Hooke's law and the principle of superposition of the effects of forces. Structural behavior of elements axially loaded: stress and strain state in bars loaded axially; potential energy of deformation; concept of the safety factor; resolution of hyperstatic systems. The behavior of structural components loaded by torsion: pure torsion; shear stress state; torsion of shafts with circular and non-circular cross section; the method of Prandtl's membrane analogy; torsion of closed and open thin-walled sections of profiles; multi-shape profiles. Analysis of beams: a brief preamble to the beam theories; beams of straight geometric axle; pure and simple bending; differential equation of the beam deformation.

Head Lecturer(s)

Ricardo Nuno Madeira Soares Branco

Assessment Methods

Assessment
Research work: 10.0%
Mini Tests: 15.0%
Frequency: 75.0%

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.