Unit I: INTRODUCTION TO STRUCTURAL ANALYSIS
Theme 1.- STRUCTURES IN ENGINEERING:
Introduction. The process of designing structures. The design of structures. Structures practices and ideals.
Theme 2.- BASICS OF THE THEORY OF STRUCTURES:
Introduction. Types of problems. Fundamental Relations. Stability of Structures. Methods of Analysis. Basic assumptions of the linear Theory of Structures. Formulation of problem with the method of displacement.
Unit II: CLASSICAL METHODS. TRUSS STRUCTURES
Theme 3.- ARTICULATED STRUCTURES:
Introduction. Basic assumptions for analysis. Isostatic Articulated Structures - Formation laws. Stability. Identification and static indeterminacy of articulated structures. Types.
Theme 4.- ARTICULATED ISOSTATIC STRUCTURES. CALCULATION EFFORTS:
Concept, notations and signs. Methods of Knots. Diagram Maxwell. Method of Sections. Composite Structures, Method Secondary Structures. Complex Structures, Method Henneberg.
Theme 5.- ARTICULATED ISOSTATIC STRUCTURES CALCULATION OF DISPLACEMENT:
Introduction. Method of analysis. Application of the method TFV Compatibility.
Theme 6.- STATICALLY INDETERMINATE TRUSS STRUCTURES
Unit III: CLASSICAL METHODS. RIGID STRUCTURES
Theme 7.- RIGID STRUCTURES KNOTS:
Introduction. Definition and criteria of signs. Fundamental Relations. Mohr Theorems. Moments of perfect embedding. Transmission Factors. Stiffness to rotation. Applications of theorem of Virtual Forces. General equations. Equilibrium
Method.
Unit IV: MODERN METHODS. MATRIX ANALYSIS OF STRUCTURES
Theme 8.- INTRODUCTION TO MATRIX ANALYSIS:
Introduction. Concept of Stiffness and flexibility.
Theme 9.- COORDINATE SYSTEMS. ELEMENTAL STIFFNESS MATRICES:
Introduction. Coordinate systems. Elementary Stiffness. Elemental Stiffness matrix. Coordinate transformation.
Theme 10.- THE METHOD OF RIGIDITIES:
Introduction. Formulation of the Stiffness matrix. Boundary Conditions. Calculation. Calculation of forces at the nodes.
Theme 11.- KNOTS RIGID SPATIAL STRUCTURES:
Introduction. Coordinate Systems, rotation matrix. Stiffness matrix in the local system. Stiffness matrix in the global system. Assembly of stiffness matrix of the structure. Boundary Conditions. Calculation of displacements. Calculation of forces.
