Description

Theory
2

Theory/Practice
2

Instructors

José Brandão

Contents

(1) DEFINITIONS AND BASIC CONCEPTS (18%)
(1.1) Force and displacement in structures.
(1.2) Internal loading in isostatic structures.
(1.3) General method for displacement calculation.

(2) HYPER-STATIC RETICULATED STRUCTURES (47%)
(2.1) Calculation of hyper-static systems by the force method.
(2.2) General method for the calculation of hyper-static systems by the displacement method.

(3) ELEMENTS OF THE THEORY OF ELASTICITY (25%)
(3.1) Stress and Strain.
(3.2) Hooke's Law.
(3.3) Equations of balance and of compatibility.
(3.4) Boundary conditions.
(3.5) Plane states.

(4) PLATES AND SHELLS (10%)
(4.1) Displacement and internal loading of plates.
(4.2) Differential equations of thin plates and boundary conditions.
(4.3) Cylindrical and pure bending of plates.
(4.4) Bending of rectangular plates.
(4.5) Bending of circular plates under axisymmetric load.

Learning Outcomes

This CU has the following main objectives:
(A) Relating stresses and strains through Hooke's law.
(B) Calculating displacements in structures.
(C) Determining internal forces in isostatic stuctures.
(D) Calculating hyper-static systems using the Force Method.
(E) Calculating hyper-static systems using the Displacement Method.
(F) Calculating continuous systems in plane stress or plane strain.
(G) Differential equations of equilibrium and of compatibility in the Theory of Elasticity.
(H) Calculating plates bent to a cylindrical surface.
(I) Calculating plates under pure bending.
(J) Calculating circular plates symmetrically loaded.
(K) Calculating rectangular plates.