Civil Engineering

PART I: MATRIX ANALYSIS OF STRUCTURES - Naturally discrete structural systems: 2D and 3D truss systems - Fundamental equations for an element (kinematics, equilibrium, constitutive relations); Stiffness and flexibility matrices - Displacement method - Force method - Identification of the element constitutive relations for distributed loads and distortions - Flexibility and stiffness approach - Beam with variable cross section, curved beam, shear deformable beam - Modeling of stress releases and rigid end offsets - Beam elements with end plastic hinges: pushover analysis of frame structures - Large-displacement beam elements: corotational approach, P-delta effect PART II: DYNAMICAL ANALYSIS - Element and global mass matrix - Modal analysis - Numerical integration of the equations of motion; Step-by-step analysis PART III: INTRODUCTION TO NUMERICAL CODES FOR STRUCTURAL ANALYSES - Use of MATLAB programming language to implement matrix analysis procedures for framed structures - Use of SAP program to perform linear and nonlinear analyses of framed structures.

The course requires basic skills in linear algebra and structural mechanics. In particular, knowledge of the following topics are required: - vector and matrix algebra - Euler-Bernoully and Timoshenko beam formulations

Lecture notes. Lecture slides and other information will be available at https://sites.google.com/a/uniroma1.it/danielaaddessi/insegnamenti.

Teaching activities mainly consist of frontal classes at chalkboard (2/3 of the lectures). Classroom tutorials are also provided using computer to show applications and examples and Finite element codes (MATLAB and SAP) to solve structural problems (1/3 of the lectures).

Class attendance is optional but recommended.

Oral final examination and evaluation of a final project on the analysis of a frame structure, performed by a user matrix analysis structural code implemented in MATLAB .

W. McGuire, R.H. Gallagher, R.D. Zieman, Matrix Structural Analysis , John Wiley & Sons J.S. Przemieniecki, Theory of Matrix Structural Analysis, McGraw-Hill

Teaching activities mainly consist of frontal classes at chalkboard (2/3 of the lectures). Classroom tutorials are also provided using computer to show applications and examples and Finite element codes (MATLAB and SAP) to solve structural problems (1/3 of the lectures).