# Strength of Materials II

Year
3
2019-2020
Code
01005569
Subject Area
Structures and Structural Mechanics
Language of Instruction
Portuguese
Mode of Delivery
Face-to-face
Duration
SEMESTRIAL
ECTS Credits
6.0
Type
Elective
Level
1st Cycle Studies

## Recommended Prerequisites

Mechanics I, Mechanics II, Solid Mechanics, Strength of Materials I

## Teaching Methods

Detailed presentation of the theory, accompanied by the resolution of illustrative examples and exercises by the teacher.  Autonomous problem solving in which the students work out exercises and problems of theoretical and practical application with the guidance of the teacher.

## Learning Outcomes

The two courses of Strength of Materials continue the explanation of concepts and methodologies of structural analysis, which is initiated in the Mechanics courses. Besides the basic principles, which are valid for all kinds of structures, the case of framed structures and specially the slender members they are made of are addressed in detail.  Methods for the computation of stresses and deformations caused by the internal forces (axial and shear forces and bending and torsional moments) are studied. Furthermore, the concepts of structural stability, energy conservation theorems, and the most important methods of structural analysis, which will be deepened and systematized in the courses of Theory of Structures, are introduced. After being approved in this course, the student shall be able to perform analysis and safety assessment of simple framed structures and be familiar with fundamental principles and methods of structural analysis.

No

## Syllabus

I. Bending deflections

I.1 Deflections caused by the bending moment

I.2 Deflections caused by the shear force

I.3 Statically indeterminate frames under bending

I.4 Elastoplastic analysis under bending

II. Torsion

II.1 Introduction

II.2 Circular cross-sections

II.3 Closed thin-walled cross-sections

II.4 General case

II.5 Optimal shape of cross-sections under torsion

III. Structural stability

III.1 Introduction

III.2 Fundamental concepts

III.3 Instability in the axial compression of a prismatic bar

III.4 Instability under composed bending

IV. Energy theorems

IV.1 General considerations

IV.2 Elastic potential energy in slender members

IV.3 Theorems for structures with linear elastic behaviour

IV.4 Theorems of virtual displacements and virtual forces

IV.5 Considerations about the total potential energy

IV.6 Elementary analysis of impact loads

## Assessment Methods

Continuous
Theoretical problems : 25.0%
Theoretical and practical problems: 25.0%
Practical problems: 50.0%

## Bibliography

V. Dias da Silva, Mecânica e Resistência dos Materiais, Edição do Autor, Coimbra, 2004, 972-98155-1-8

V. Dias da Silva, Mechanics and Strength of Materials, Springer-Verlag Berlin Heidelberg 2006, ISBN 3-540-25131-6.