MASTER IN CIVIL ENGINEERING - Faculdade de Engenharia da ...

Structural Analysis II
Credits Contact Time Total Time
7 ECTS 90 188
Objectives, Skills and Learning Outcomes
Presentation and quarrel of the method of displacements, matrical formularization, for
analysis of reticulated structures in linear regimen, plain and three-dimensional, and
its point of view developments of its practical application, namelly if it relates to its use
in the automatic calculation. Presentation of the general aspects of the method of the
finite elements. Dynamic analysis of structures applied simple the structural systems.
Introduction to the geometric non linear analysis and plastic analysis. The study of the
structural methods analysis is followed by the concern to increase the degree of
understanding of the structures behavior, of the point of view of the distribution of
efforts and displacements.
Program
Ch1 - Matrix Analysis using Displacement Method
Matrix form of Displacement Method. Assembling stiffness matrices of bars and
composition of global stiffness matrix of the structure. Using matrix analysis to
structures with sloped bars. Transformation matrix of displacement and forces from
local to global axis. Sistematization of displacement method matrix formulation.
Introduction to structural computer analysis. General outline of a computer program
for structural analysis. Analysis of 3D bar structures and presentation of the
corresponding matrix formulation.
Ch2 - Introduction to Finite Element Method
General aspects of formulation and analogy with displacement method. Shape
functions and element stiffness matrix. Main types of elements and its application: 2D
and 3D elements; slabs; shells. Practical uses of FEM.
Ch3 - Hardy-Cross method
Introduction to the method. Notion of distribution and transmission coefficient.
Particular cases of HC method. Application of HC method to structures with freedom of
displacement of nodes. Indirect HC method. Analysis of a structure considering
different number of unknowns. relationship between the different types of stiffnes
matrices. Matrix condensation.
Ch4 - Introduction to Structural Dynamics
Basic concepts of Structural Dynamics. Formulation of the fundamental equation of
dynamic equilibrium. Free movement without dampening. Notions of frequency and
vibation period. Free movement with dampening. Notion of dampening coefficient.
Response to a sine- wave action. Factor of dynamic amplification. Ressonance
response. Response to a sine-wave action with dampening.
Detrmination of the response to any type of action using the decomposition with
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