ADVANCED STRUCTURAL MECHANICS

Francesco ASCIONE ADVANCED STRUCTURAL MECHANICS

0622100066
DEPARTMENT OF CIVIL ENGINEERING
EQF7
CIVIL ENGINEERING
2024/2025

OBBLIGATORIO
YEAR OF COURSE 1
YEAR OF DIDACTIC SYSTEM 2022
FULL ACADEMIC YEAR
CFUHOURSACTIVITY
12120LESSONS
ExamDate
COMPLEMENTI DI MECCANICA STRUTTURALE16/12/2024
Objectives
GENERAL OBJECTIVE
THE COURSE AIMS TO DEEPEN THE ADVANCED THEORETICAL CONCEPTS OF SOLID AND STRUCTURAL MECHANICS.

KNOWLEDGE AND UNDERSTANDING
THE STUDENT WILL:
- KNOW THE LINEAR ELASTIC CONSTITUTIVE BOND, INCLUDING THE ISOTROPIC, ORTHOTROPIC AND TRANSVERSELY ISOTROPIC CASE;
- KNOW THE GENERAL PROPERTIES OF THE ELASTOSTATIC PROBLEM;
- KNOW SOME BASIC ASPECTS OF THE STABILITY OF FLAT BEAMS AND FRAMES);
- KNOW SOME BASIC ASPECTS OF THE THEORY OF ARCHES AND VAULTS.

ABILITY TO APPLY KNOWLEDGE AND UNDERSTANDING
THE STUDENT WILL BE ABLE TO
- SOLVE A HYPERSTATIC STRUCTURE USING THE VARIATIONAL PRINCIPLE OF VIRTUAL WORKS;
- ELABORATE A STABILITY ANALYSIS OF PLANE HYPERSTATIC STRUCTURES.

AUTONOMY OF JUDGEMENT
THE STUDENT WILL BE ABLE TO
- EVALUATE, IN A CRITICAL SENSE, THE RESULTS OBTAINED WITH THE STRUCTURAL ANALYSIS ADOPTED, CHECKING THEIR CORRECTNESS BY MEANS OF ELEMENTARY MODELS.

COMMUNICATION SKILLS
THE STUDENT WILL BE ABLE TO
- REPRESENT AND COMMUNICATE, BY MEANS OF TEXTS OR VIRTUAL TOOLS, THE RESULTS OF RESEARCH OR ELABORATIONS RELATED TO THE ISSUES STUDIED.

LEARNING SKILLS
THE STUDENT WILL BE ABLE TO:
- USE TRADITIONAL BIBLIOGRAPHICAL TOOLS AND COMPUTER RESOURCES FOR ANALYSIS AND ARCHIVING;
- CARRY OUT RESEARCH ACTIVITIES, UNDERSTAND AND INTERPRET COMPLEX TEXTS OF A PUBLISHING OR LITERARY NATURE;
- CONTINUOUSLY UPDATE THEIR KNOWLEDGE, USING TECHNICAL AND SCIENTIFIC TECHNICAL AND SCIENTIFIC LITERATURE.
Prerequisites
THE SUCCESSFUL ACHIEVEMENT OF THE OBJECTIVES ABOVE REQUIRES A BASIC UNDERSTANDING OF THE MECHANICS OF SOLIDS AND STRUCTURES.

Contents
1) RECALLS OF VECTOR AND TENSOR CALCULUS: GAUSS'S LEMMA AND DIVERGENCE THEOREM. (3 HOURS)
2) VARIATIONAL PRINCIPLES: PLV AND PLVC. (10 HRS.)
3) MATERIAL SYMMETRIES IN LINEAR ELASTICITY: ANISOTROPIC MATERIALS, MONOCLINIC MATERIALS, ORTHOTROPIC MATERIALS, TRANSVERSELY ISOTROPIC MATERIALS. (7 HOURS)
4) HYPERELASTIC MATERIALS. (2 HRS.)
5) FORMULATION OF THE EQUILIBRIUM PROBLEM FOR A LINEAR ELASTIC BODY: ELASTIC STATE, FUNDAMENTAL THEOREMS OF LINEAR ELASTOSTATICS, INFINITESIMAL RIGID DISPLACEMENT, PRINCIPLE OF MINIMUM TOTAL POTENTIAL ENERGY, PRINCIPLE OF MINIMUM COMPLEMENTARY ENERGY. (7 HOURS)
6) STABILITY OF INFLECTED AND PRESS-INFLECTED BEAMS. (5 HRS.)
7) STABILITY OF FRAMES. (15 HRS.)
8) FORMULATION OF THE EQUILIBRIUM PROBLEM OF A THIN VAULT. (15 HRS.)
9) RECALLS CONSTITUTIVE BONDS: ELASTO-PLASTIC MATERIAL. (3 HRS.)
10) ULTIMATE STRESS CHARACTERISTICS: AXIAL FORCE, BENDING, SHEAR AND TORSION. (2 HOURS)
11) PLASTICITY. (7 HOURS)
12) ELASTO-PLASTIC HARDENING, IDEAL AND SOFTENING MATERIALS. (3 HRS.)
13) IDEALLY ELASTIC-PLASTIC BEHAVIOUR: THE PLASTIC HINGE MODEL, STEP-BY-STEP ANALYSIS, THE COLLAPSE MECHANISM, THE FUNDAMENTAL THEOREMS OF LIMIT ANALYSIS, THE COLLAPSE MULTIPLIER. (15 HOURS)
14) IDEALLY ELASTO-PLASTIC STRUCTURES SUBJECTED TO CYCLIC LOADING: ADAPTATION, INCREMENTAL COLLAPSE, ALTERNATING PLASTICITY. (15 HRS.)
15) THE ADAPTATION THEOREMS: BLEICH, MELAN AND KOITER THEOREMS. (15 HRS.)
Teaching Methods
THE COURSE CONSISTS OF LECTURES (90 HOURS) AND IN-CLASS EXERCISES (30 HOURS). THE LECTURES WILL ENABLE THE STUDENT TO ACQUIRE KNOWLEDGE OF ADVANCED THEORETICAL ASPECTS OF SOLID AND STRUCTURAL MECHANICS, WHILE THE EXERCISES WILL ALLOW HIM/HER TO DEVELOP THE ABILITY TO APPLY VARIATIONAL PRINCIPLES TO THE RESOLUTION OF HYPERSTATIC STRUCTURES AS WELL AS TO EVALUATE THE LOAD-BEARING CAPACITY OF PLANE SYSTEMS OF BEAMS. THE TEACHING ALSO INCLUDES THE DEVELOPMENT OF A GROUP PROJECT AIMED AT ACQUIRING THE ABILITY TO ASSESS THE STABILITY OF PLANE FRAMES IN THE PRESENCE OF GEOMETRIC NON-LINEARITIES. THE DEVELOPMENT OF THE PROJECT WILL BE DISCUSSED INDIVIDUALLY WITH THE STUDENTS DURING THE LECTURER'S OFFICE HOURS. PARTICIPATION IN FACE-TO-FACE TEACHING IS STRONGLY RECOMMENDED.
Verification of learning
THE EXAMINATION CONSISTS OF A WRITTEN AND AN ORAL EXAMINATION. IN THE WRITTEN EXAM, THE STUDENT WILL BE REQUIRED TO SOLVE TWO EXERCISES AIMED AT VERIFYING THE STUDENT'S ABILITY TO APPLY THE VARIATIONAL PRINCIPLES FOR THE RESOLUTION OF HYPERSTATIC STRUCTURES AND CALCULATE THEIR LOAD-BEARING CAPACITY. THE ORAL EXAMINATION, WHICH LASTS APPROXIMATELY 60 MINUTES, INVOLVES THE DISCUSSION OF THE PROJECT, AIMED AT VERIFYING THE STUDENT'S ABILITY TO ASSESS THE STABILITY OF PLANE FRAMES, AS WELL AS VERIFYING THE KNOWLEDGE ACQUIRED BY THE STUDENT ON THE COURSE TOPICS. THE ORAL EXAMINATION WILL BE OPEN TO STUDENTS WHO HAVE PASSED THE WRITTEN EXAMINATION AND WILL BE ASSIGNED A GRADE OF (ADMITTED, NOT ADMITTED OR ADMITTED WITH RESERVATION). THE GRADE ‘ADMITTED WITH RESERVATION’ IS AWARDED IN CASES WHERE THE EXERCISE IS FORMALLY CORRECT BUT IS AFFECTED BY CALCULATION ERRORS. THE FINAL GRADE WILL RESULT FROM THE STUDENT'S ABILITY TO CORRECTLY ILLUSTRATE AND DISCUSS THE TOPICS ADDRESSED DURING THE COURSE.
Texts
[1] L. ASCIONE, ELEMENTI DI SCIENZA DELLE COSTRUZIONI, LIGUORI EDITORE.
[2 ] L. CORRADI, MECCANICA DELLE STRUTTURE, VOL. 3 LA VALUTAZIONE DELLE CAPACITÀ PORTANTE; MCGRAW-HILL.
[3] APPUNTI DELLE LEZIONI DISPONIBILI AL LINK HTTPS://DOCENTI.UNISA.IT/024866/RISORSE
More Information
[1] L. ASCIONE, ELEMENTI DI SCIENZA DELLE COSTRUZIONI, LIGUORI EDITORE.
[2 ] L. CORRADI, MECCANICA DELLE STRUTTURE, VOL. 3 LA VALUTAZIONE DELLE CAPACITÀ PORTANTE; MCGRAW-HILL.
[3] LECTURE NOTES AVAILABLE AT THE LINK HTTPS://DOCENTI.UNISA.IT/024866/RISORSE
Lessons Timetable

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