Geminiano MANCUSI | THEORY OF STRUCTURES
Geminiano MANCUSI THEORY OF STRUCTURES
cod. 0622100005
THEORY OF STRUCTURES
| 0622100005 | |
| DEPARTMENT OF CIVIL ENGINEERING | |
| EQF7 | |
| CIVIL ENGINEERING | |
| 2024/2025 |
| OBBLIGATORIO | |
| YEAR OF COURSE 1 | |
| YEAR OF DIDACTIC SYSTEM 2022 | |
| SPRING SEMESTER |
| SSD | CFU | HOURS | ACTIVITY | |
|---|---|---|---|---|
| ICAR/08 | 6 | 60 | LESSONS |
| Objectives | |
|---|---|
| LEARNING OUTCOMES AND SKILLS TO BE ACQUIRED. ACQUIRE THE THEORETICAL FOUNDAMENTALS OF THE ANALYSIS OF THE MAIN STRUCTURAL MODELS USED IN TECHNICAL PRACTICE. KNOWLEDGE AND UNDERSTANDING SKILLS. TO EXPAND THE KNOWLEDGE ALREADY ACQUIRED WITH REGARD TO BEAM SYSTEMS FOR A BETTER UNDERSTANDING OF THE MECHANICAL BEHAVIOUR OF STRUCTURAL ELEMENTS. ACQUIRE KNOWLEDGE IN RELATION TO: PROBLEMS IN 2D STRAIN-STRESS FIELD; THEORY OF PLATES; THE FINITE ELEMENT METHOD; VLASOV'S THEORY. ABILITY TO APPLY KNOWLEDGE AND UNDERSTANDING. ACQUIRE A METHODOLOGICAL APPROACH FOR: THE RESOLUTION OF STRUCTURAL PROBLEMS WITH THE FINITE ELEMENT METHOD; THE ANALYSIS OF 2D STRAIN STRESS PROBLEMS, OF THIN-WALLED BEAMS AND PLATES AUTONOMY OF JUDGMENT. TO DEVELOP A CRITICAL SENSE AIMED AT IDENTIFYING THE MOST SUITABLE THEORIES AND MODELS FOR STRUCTURAL ANALYSIS, IN RELATION TO THE CHARACTERISTICS OF THE MATERIALS, THE GEOMETRY AND THE TYPE OF PROBLEM EXAMINED. COMMUNICATION SKILLS. REFINEMENT OF TECHNICAL LANGUAGE. ABILITY TO LEARN. ABILITY TO LEARN FURTHER THEORIES AND STRUCTURAL MODELS DIFFERENT FROM THOSE PRESENTED DURING THE COURSE AND TO USE FINITE ELEMENT SOFTWARE DIFFERENT FROM THOSE PROPOSED. |
| Prerequisites | |
|---|---|
| PROPAEDEUTIC: NONE REQUIREMENTS ARE: THE KNOWLEDGE OF THE CONTINUUM MECHANICS, THEORY OF ELASTICITY, ENERGY PRINCIPLES, VIRTUAL DISPALCEMENTS PRINCIPLE, BEAM THEORY, ELASTOSTATIC AND ELASTODYNAMIC PROBLEMS. |
| Contents | |
|---|---|
| 1. FINITE ELEMENTS (2 CFU/20 HOURS): FORMULATION VIA PRINCIPLE OF VIRTUAL DIPSLACEMENTS ; CHANGE OF REFERENCE SYSTEM; ASSEMBLING; BOUNDARY CONDITIONS; CONVERGENCE CRITERIA; ISOPARAMETRIC FINITE ELEMENTS. 2. MECHANICS OF TWO-DIMENSIONAL ELASTIC STRUCTURES (1 CFU/10 HOURS): PROBLEMS IN PLANE STATE OF STRESS OR STRAIN; AIRY'S FUNCTION; APPROXIMATION METHODS. 3. ELASTIC PLATES (1 CFU/10 HOURS): THEORIES OF MINDLIN AND KIRCHHOFF. 4. THEORY OF THIN-WALLED ELASTIC BEAMS (2 CFU/20 HOURS): OPEN AND CLOSED CROSS SECTION. |
| Teaching Methods | |
|---|---|
| LECTURES (40 HOURS) AND LABORATORY EXERCISES (20 HOURS) BY USING FEM CODES ARE THE MAIN TEACHING FORMAT. |
| Verification of learning | |
|---|---|
| THE EXAM CONSISTS OF A WRITTEN TEST AND AN ORAL TEST. IN THE WRITTEN TEST, LASTING 180 MINUTES, THE STUDENT IS ASKED TO DESIGN A SPECIFIC FINITE ELEMENT FOR THE ANALYSIS OF A STRUCTURAL PROBLEM AND, ON THE BASIS OF THE DESIGNED FINITE ELEMENT, TO SOLVE AN APPLICATION CASE IN LINEAR ELASTICITY. PASSING THE WRITTEN TEST IS REQUIRED FOR ACCESS TO THE ORAL EXAM. THIS OCCURS IN THE PRESENCE OF BOTH OF THE FOLLOWING TWO CONDITIONS: I) METHODOLOGICAL CORRECTNESS OF THE PERFORMANCE; II) COMPLETENESS OF THE PERFORMANCE. A SCORE IS NOT ASSIGNED TO THE WRITTEN TEST BUT ONLY AN OUTCOME (PASSED/FAILED). THE ORAL EXAM, LASTING ABOUT 60 MINUTES, WILL FOCUS ON THEORETICAL KNOWLEDGE, WITH REFERENCE TO THE ENTIRE PROGRAM OF THE COURSE. THE FINAL SCORE WILL BE GRADUATED IN RELATION TO THE RIGOR AND FORMAL ELEGANCE OF THE PRESENTATION, TO THE CONTEXTUALIZATION OF THE TOPICS PRESENTED WITHIN THE FRAMEWORK OF THE PRINCIPLES AND THEORIES OF STRUCTURAL MECHANICS. THE MINIMUM SCORE (18/30) IS ACHIEVED IF THE WRITTEN TEST IS PASSED AND IF, DURING THE ORAL INTERVIEW, FULL MASTERY EMERGES FOR AT LEAST ONE OF THE THREE MAIN TOPICS OF THE COURSE (PLATES THEORY, TORSION THEORY, PLANE STRAIN/STRESS THEORY) AND A SUFFICIENT ORIENTATION FOR THE REMAINING TOPICS OF THE COURSE. THE MAXIMUM SCORE (30/30) IS ACHIEVED IF THE WRITTEN TEST IS PASSED AND IF, DURING THE ORAL INTERVIEW, FULL MASTERY EMERGES FOR ALL THREE MAIN TOPICS OF THE COURSE. NECESSARY CONDITION FOR OBTAINING THE HIGHEST SCORE (LAUD) IS THE DEEP UNDERSTANDING OF THE THEORETICAL METHODS PRESENTED IN THE COURSE CONTEXTUALIZED TO CONCRETE PROBLEMS |
| Texts | |
|---|---|
| MALVERN L.E., "INTRODUCTION TO THE MECHANICS OF A CONTINUOUS MEDIUM", PRENTICE-HALL, 1969. J. N. REDDY, "AN INTRODUCTION TO CONTINUUM MECHANICS WITH APPLICATIONS", 2ND ED., CAMBRIDGE UNIVERSITY PRESS, 2013. J. N. REDDY,"THEORY AND ANALYSIS OF ELASTIC PLATES AND SHELLS", 2ND ED., TAYLOR & FRANCIS, 2007. I. BABUSKA, T. STROUBOULIS, "THE FINITE ELEMENT METHOD AND ITS RELIABILITY", OXFORD UNIVERSITY PRESS, OXFORD, 2001. J. N. REDDY, "AN INTRODUCTION TO THE FINITE ELEMENT METHOD", 3RD ED., MCGRAW-HILL EDUCATION, 2005. VLASOV V.Z., "THIN WALLED ELASTIC BEAMS", NEW YORK, PERGAMON PRESS, 1961. |
| More Information | |
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