Francesco ASCIONE | THEORY OF STRUCTURES

cod. 0622100005

THEORY OF STRUCTURES

	0622100005
	DEPARTMENT OF CIVIL ENGINEERING
	EQF7
	CIVIL ENGINEERING
	2019/2020

CURRICULUM INGEGNERIA STRUTTURALE E GEOTECNICA

	OBBLIGATORIO
	YEAR OF COURSE 1
	YEAR OF DIDACTIC SYSTEM 2017
	SECONDO SEMESTRE

TEACHING UNITS

	SSD	CFU	HOURS	ACTIVITY	TYPE OF ACTIVITY
	ICAR/08	6	60	LESSONS	COMPULSORY SUBJECTS, CHARACTERISTIC OF THE CLASS

PROFESSORS

	VALENTINO PAOLO BERARDI T Curriculum
	FRANCESCO ASCIONE Curriculum

	Objectives
	THE COURSE PROVIDES THE FUNDAMENTALS OF MAIN ADVANCED MECHANICAL MODELS ADOPTED IN STRUCTURAL DESIGN. KNOWLEDGE AND UNDERSTANDING THE COURSE EXTENDS THE KNOWLEDGE ON FRAMED SYSTEMS, ALLOWING A MORE IN-DEPTH UNDERSTANDING OF THE MECHANICAL BEHAVIOR OF STRUCTURAL ELEMENTS. TWO-DIMENSIONAL ELASTIC PROBLEMS IN PLANE STATE OF STRESS OR STRAIN; - ELASTIC PLATES IN BENDING, THIN-WALLED ELASTIC BEAMS AND THE FINITE ELEMENT METHOD (FEM) ARE DEALT WITH. APPLYING KNOWLEDGE AND UNDERSTANDING THE COURSE PROVIDES USEFUL AND PRACTICAL TOOLS FOR: - THE RESOLUTION OF TWO-DIMENSIONAL ELASTIC PROBLEMS IN PLANE STATE OF STRESS OR STRAIN; - THE ANALYSIS OF ELASTIC PLATES IN BENDING; - THE USE OF THE FINITE ELEMENT METHOD (FEM); - THE EVALUATION OF THE STRESS AND STRAIN STATES IN THIN-WALLED ELASTIC BEAMS. MAKING JUDGEMENTS BY THE END OF THE COURSE, THE STUDENT WILL DEVELOP A CRITICAL SENSE IN IDENTIFYING THE MOST SUITABLE THEORIES AND MODELS FOR STRUCTURAL ANALYSIS, DEPENDING ON THE CHARACTERISTICS OF THE MATERIALS, THE GEOMETRIES AND THE SPECIFIC EXAMINED PROBLEM. COMMUNICATION SKILLS EXPLAINING THE KEY ASPECTS OF STRUCTURAL MODELLING IS THE MOST IMPORTANT EXPECTED COMMUNICATION SKILL. LEARNING SKILLS THE ABILITY OF APPLYING THE ACQUIRED KNOWLEDGE TO STRUCTURAL PROBLEMS IN CONTEXTS DIFFERENT FROM THOSE PRESENTED DURING THE COURSE.

THE COURSE PROVIDES THE FUNDAMENTALS OF MAIN ADVANCED MECHANICAL MODELS ADOPTED IN STRUCTURAL DESIGN.

KNOWLEDGE AND UNDERSTANDING
THE COURSE EXTENDS THE KNOWLEDGE ON FRAMED SYSTEMS, ALLOWING A MORE IN-DEPTH UNDERSTANDING OF THE MECHANICAL BEHAVIOR OF STRUCTURAL ELEMENTS. TWO-DIMENSIONAL ELASTIC PROBLEMS IN PLANE STATE OF STRESS OR STRAIN; - ELASTIC PLATES IN BENDING, THIN-WALLED ELASTIC BEAMS AND THE FINITE ELEMENT METHOD (FEM) ARE DEALT WITH.

APPLYING KNOWLEDGE AND UNDERSTANDING
THE COURSE PROVIDES USEFUL AND PRACTICAL TOOLS FOR:
- THE RESOLUTION OF TWO-DIMENSIONAL ELASTIC PROBLEMS IN PLANE STATE OF STRESS OR STRAIN;
- THE ANALYSIS OF ELASTIC PLATES IN BENDING;
- THE USE OF THE FINITE ELEMENT METHOD (FEM);
- THE EVALUATION OF THE STRESS AND STRAIN STATES IN THIN-WALLED ELASTIC BEAMS.

MAKING JUDGEMENTS
BY THE END OF THE COURSE, THE STUDENT WILL DEVELOP A CRITICAL SENSE IN IDENTIFYING THE MOST SUITABLE THEORIES AND MODELS FOR STRUCTURAL ANALYSIS, DEPENDING ON THE CHARACTERISTICS OF THE MATERIALS, THE GEOMETRIES AND THE SPECIFIC EXAMINED PROBLEM.

COMMUNICATION SKILLS
EXPLAINING THE KEY ASPECTS OF STRUCTURAL MODELLING IS THE MOST IMPORTANT EXPECTED COMMUNICATION SKILL.

LEARNING SKILLS
THE ABILITY OF APPLYING THE ACQUIRED KNOWLEDGE TO STRUCTURAL PROBLEMS IN CONTEXTS DIFFERENT FROM THOSE PRESENTED DURING THE COURSE.

	Prerequisites
	THE KNOWLEDGE OF THE CONTINUUM MECHANICS, THE THEORY OF ELASTICITY, THE ENERGY PRINCIPLES, THE BEAM THEORY, THE ELASTOSTATIC AND ELASTODYNAMIC PROBLEMS IS REQUIRED. THERE ARE NO PROPAEDEUTIC ITEMS.

	Contents
	FINITE ELEMENT METHOD (FEM)(25 HOURS): FORMULATION OF THE DISPLACEMENT METHOD VIA PRINCIPLE OF VIRTUAL WORK; CHANGE OF REFERENCE SYSTEM; ASSEMBLY; BOUNDARY CONDITIONS; CONVERGENCE CRITERIA; ISOPARAMETRIC FINITE ELEMENTS, EXERCISES. ELASTIC PLATES (15 HOURS): THEORIES OF MINDLIN AND KIRCHHOFF; FORMULATION OF THE DISPLACEMENT METHOD VIA PRINCIPLE OF VIRTUAL WORK; MOVEMENT EQUATIONS; GENERALISED CONSTITUTIVE LAWS; ELASTO-DYNAMIC PROBLEM; STRESS FIELD; EXERCISES. THEORY OF THIN-WALLED ELASTIC BEAMS (15 HOURS): KINEMATICS AND GENERAL ASSUMPTIONS; OPEN CROSS SECTIONS; SECTORIAL AREA; PRINCIPLE OF VIRTUAL WORK; GENERILASED EQUILIBRIUM EQUATIONS; GENERALISED CONSTITUTIVE LAWS; ELASTO-STATIC PROBLEM; STRESS FIELD; EXERCISES. MECHANICS OF TWO-DIMENSIONAL ELASTIC STRUCTURES (5 HOURS): PROBLEMS IN PLANE STATE OF STRESS OR STRAIN; AIRY'S FUNCTION; APPROXIMATION METHODS; EXERCISES.

Contents

FINITE ELEMENT METHOD (FEM)(25 HOURS): FORMULATION OF THE DISPLACEMENT METHOD VIA PRINCIPLE OF VIRTUAL WORK; CHANGE OF REFERENCE SYSTEM; ASSEMBLY; BOUNDARY CONDITIONS; CONVERGENCE CRITERIA; ISOPARAMETRIC FINITE ELEMENTS, EXERCISES.

ELASTIC PLATES (15 HOURS): THEORIES OF MINDLIN AND KIRCHHOFF; FORMULATION OF THE DISPLACEMENT METHOD VIA PRINCIPLE OF VIRTUAL WORK; MOVEMENT EQUATIONS; GENERALISED CONSTITUTIVE LAWS; ELASTO-DYNAMIC PROBLEM; STRESS FIELD; EXERCISES.

THEORY OF THIN-WALLED ELASTIC BEAMS (15 HOURS): KINEMATICS AND GENERAL ASSUMPTIONS; OPEN CROSS SECTIONS; SECTORIAL AREA; PRINCIPLE OF VIRTUAL WORK; GENERILASED EQUILIBRIUM EQUATIONS; GENERALISED CONSTITUTIVE LAWS; ELASTO-STATIC PROBLEM; STRESS FIELD; EXERCISES.

MECHANICS OF TWO-DIMENSIONAL ELASTIC STRUCTURES (5 HOURS): PROBLEMS IN PLANE STATE OF STRESS OR STRAIN; AIRY'S FUNCTION; APPROXIMATION METHODS; EXERCISES.

	Teaching Methods
	THE COURSE INCLUDES THEORETICAL LECTURES (4 CFU), CLASSROOM EXERCISES (1,5 CFU) AND LABORATORY EXCISES (0,5 CFU) BY USING COMMERCIAL FEM CODES. ATTENDANCE IS NOT REQUIRED.

	Verification of learning
	THE FINAL TEST CONSISTS OF A WRITTEN CLASSWORK AND AN ORAL INTERVIEW. THE WRITTEN TEST IS CONCERNED WITH THE FEM ANALYSIS OF A PLANE FRAMED SYSTEMS AND LASTS THREE HOURS. THE ORAL INTERVIEW COVERS THE THEORETICAL ASPECTS OF THE DIFFERENT CLASS MODULES. THE FINAL SCORE (MIN 18/30, MAX 30/30 PLUS LAUDE) WILL DEPEND ON: • EXPOSURE QUALITY, IN TERMS OF USE OF APPROPRIATE SCIENTIFIC LANGUAGE; • TRANSVERSE CORRELATION CAPACITY BETWEEN THE DIFFERENT ARGUMENTS OF THE COURSE AND, WHERE POSSIBLE, WITH OTHER COURSES; • THE PROBLEM SOLVING SKILL.

Verification of learning

THE FINAL TEST CONSISTS OF A WRITTEN CLASSWORK AND AN ORAL INTERVIEW.
THE WRITTEN TEST IS CONCERNED WITH THE FEM ANALYSIS OF A PLANE FRAMED SYSTEMS AND LASTS THREE HOURS.
THE ORAL INTERVIEW COVERS THE THEORETICAL ASPECTS OF THE DIFFERENT CLASS MODULES.
THE FINAL SCORE (MIN 18/30, MAX 30/30 PLUS LAUDE) WILL DEPEND ON:
• EXPOSURE QUALITY, IN TERMS OF USE OF APPROPRIATE SCIENTIFIC LANGUAGE;
• TRANSVERSE CORRELATION CAPACITY BETWEEN THE DIFFERENT ARGUMENTS OF THE COURSE AND, WHERE POSSIBLE, WITH OTHER COURSES;
• THE PROBLEM SOLVING SKILL.

	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.

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.

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Francesco ASCIONE | THEORY OF STRUCTURES