Strength of Materials I

Recommended Prerequisites

Mechanics I, Mechanics II, Solid Mechanics.

Teaching Methods

Presentation of concepts and of some practical exercises illustrating the application of those concepts using audio-visual support. Autonomous problem solving in which the students work out exercises problems of theoretical and practical application with the guidance of the teacher. It is also foreseen the observation of laboratory tests of bars in tension and in bending.

Learning Outcomes

In the discipline of Strength of Materials the basic principles of structural analysis and design and of structural safety are introduced. The application to beam elements and plane frame/truss structures is addressed, particularly with regard to the calculation of stresses and strains introduced by axial and transverse section forces and bending moments.

Work Placement(s)

No

Syllabus

I. Fundamental concepts of strength of materials. Notion of structural safety and safety check methods, probabilistic method, and semi-probabilistic safety factors; Introduction to Eurocode Basis of Structural Design.

II. Analysis of the effect of axial force. Calculation of stresses and strains. Design for tension forces; Axial deformation. Hiperstatic structures in tension-compression

III. Analysis of the effect of bending moment. Central Nucleus of sections. Deformation in the plane of the section

Influence of shear in stress calculation. Special cases of linear non-prismatic. Non-linear bending. Concepts form factor sections and plastic hinges

IV. Analysis of the effect of shear. Effect of warping of sections in the calculation of normal stresses. Tangential stresses due to shear: symmetrical sections, open and closed thin-walled sections. Reference axes not coincident with principal axis of inertia. Concept of Center of Torsion.

Head Lecturer(s)

Sandra Filomena da Silva Jordão Alves

Assessment Methods

Final
Exam: 100.0%

Bibliography

V. Dias da Silva, Mechanics and Strength of Materials, Springer-Verlag Berlin Heidelberg 2006.

Ch. Massonnet, S. Cescotto, Mécanique des Matériaux, EYROLLES, Paris, 1980

Ferdinand P. Beer, E. Russel Johnston, Jr., John T. DeWolf, Resistência dos Materiais - Mecânica dos Materiais, Mcgraw-Hill, 2006.