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B028611 - STRUCTURE ANALYSIS
Main information
Teaching Language
Course Content
Suggested readings
Learning Objectives
Prerequisites
Teaching Methods
Further information
Type of Assessment
Course program
Academic Year 2022-23
Coorte 2020 - 3-years First Cycle Degree (DM 270/04) in CIVIL, BUILDING AND ENVIRONMENTAL ENGINEERING
Course year
Third year - First Semester
Belonging Department
Civil and Environmental Engineering (DICEA)
Course Type
Single education field course
Scientific Area
ICAR/08 - STRUCTURAL MECHANICS
Credits
6
Teaching Hours
54
Teaching Term
12/09/2022 ⇒ 16/12/2022
Attendance required
No
Type of Evaluation
Final Grade
Course Content
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Course program
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Lectureship
Mutuality
Course teached as:
B028611 - ANALISI DELLE STRUTTURE
3-years First Cycle Degree (DM 270/04) in CIVIL, BUILDING AND ENVIRONMENTAL ENGINEERING
Curriculum CIVILE
B028611 - ANALISI DELLE STRUTTURE
3-years First Cycle Degree (DM 270/04) in CIVIL, BUILDING AND ENVIRONMENTAL ENGINEERING
Curriculum CIVILE
Teaching Language
Italian
Course Content
Solution procedures for plane structural systems made of beams and trusses (hypostatic, statically-determinate, statically-indeterminate structures).
Suggested readings (Search our library's catalogue)
E. Viola, “Esercitazioni di Scienza delle Costruzioni”, Pitagora ed. (in Italian)
Learning Objectives
Provide the main tools to analyze a structural system made of beams and/or trusses, and to determine internal stresses, deformations, displacements and rotations of notable sections.
Prerequisites
Theory of beams from the course of “Strength of Materials”
Teaching Methods
Class lessons and exercises
Further information
Type of Assessment
Oral examination
Course program
Recall of the theory from the course of “Strength of Materials”
Hypostatic, statically-determinate and statically-indeterminate structures; theorems of kinematics for a multibody system (Chasles’ theorems). External and internal indeterminate structures.
Plots of the internal stresses for beams and trusses. Restraints reactions.
Axial and polar symmetry.
Axial and transversal displacements of a beam: differential equations, essential and natural boundary conditions.
Elastic and non-elastic displacements of restrained sections. Elastic and thermal deformations. Thermal elongation and curvature.
Use of Virtual Works Principle to determine displacements and rotations of notable sections.
The equilibrium (stiffness) method
Rotational stiffness of a simply supported beam.
Effects of shear deformation on the transversal displacements of a beam; criteria for evaluating when shear displacements are negligible with respect to flexural ones.
Rotations and stiffness of a simple supported beam; rotational stiffness in some restrained beams (simply supported/clamped beam; cantilever beam).
Use of the principle of Superposition to solve a statically-indeterminate beam (implicit consistent deformations method); solution trough elastic energy method.
Displacements and rotations for some simple reference cases: simply supported beam with applied bending moments at restrained sections (symmetric case); doubly clamped beam with applied bending moments at midspan (asymmetric case).
Introduction to the equilibrium (stiffness) method; independent displacements; solution with restrained nodal displacements.
Unknown displacements unnecessary for defining the deformed configuration (dependent displacements)
Introduction to the consistent deformations (flexibility) method
Hypostatic, statically-determinate and statically-indeterminate structures; theorems of kinematics for a multibody system (Chasles’ theorems). External and internal indeterminate structures.
Plots of the internal stresses for beams and trusses. Restraints reactions.
Axial and polar symmetry.
Axial and transversal displacements of a beam: differential equations, essential and natural boundary conditions.
Elastic and non-elastic displacements of restrained sections. Elastic and thermal deformations. Thermal elongation and curvature.
Use of Virtual Works Principle to determine displacements and rotations of notable sections.
The equilibrium (stiffness) method
Rotational stiffness of a simply supported beam.
Effects of shear deformation on the transversal displacements of a beam; criteria for evaluating when shear displacements are negligible with respect to flexural ones.
Rotations and stiffness of a simple supported beam; rotational stiffness in some restrained beams (simply supported/clamped beam; cantilever beam).
Use of the principle of Superposition to solve a statically-indeterminate beam (implicit consistent deformations method); solution trough elastic energy method.
Displacements and rotations for some simple reference cases: simply supported beam with applied bending moments at restrained sections (symmetric case); doubly clamped beam with applied bending moments at midspan (asymmetric case).
Introduction to the equilibrium (stiffness) method; independent displacements; solution with restrained nodal displacements.
Unknown displacements unnecessary for defining the deformed configuration (dependent displacements)
Introduction to the consistent deformations (flexibility) method