Energy Engineering

Introduction The structural problem, loads, materials, and forms. The process of idealizing the physical problem and the general assumptions. Rigid Beams Concept of a rigid body. Kinematics: definitions and assumptions, linearized kinematics for a rigid body and systems of rigid bodies, kinematic performance of constraints, kinematic analysis of the constrained rigid body and systems, kinematic matrix and kinematic classification. Statics: definitions, forces, moments, systems of forces, fundamental equations of statics, static performance of constraints, static analysis of the constrained rigid body and systems of rigid bodies, static matrix and static classification. Static–kinematic duality. Principle of virtual work. The beam as a structural element. Stress characteristics, variation laws of stress characteristics, and plotting of related diagrams for beams and statically determinate beam systems. One-Dimensional Elastic Beams Kinematics: geometry, displacements and strains, implicit compatibility equations, the kinematic problem for the plane beam. Statics: equilibrium equations, the static problem for the plane beam. Static–kinematic duality: principle of virtual work, general displacement formula. Constitutive material: uniaxial tests, elastic behavior, plastic behavior, response to thermal variations, constitutive relationship of the elastic beam. Elastic problem: Euler–Bernoulli beam, equation of the elastic curve, force method, solution of indeterminate systems using the force method and the displacement method. Three-Dimensional Continua Analysis of deformation: geometry, displacement, and strain; local strain analysis: strain tensor, compatibility equations. Stress analysis: stress at a point according to Cauchy, Cauchy’s theorem, stress tensor, principal stresses and directions, Mohr’s circles, equilibrium equations, boundary conditions. Constitutive Relationship: analytical formulation of the elastic relationship, linear elastic relationship, generalized Hooke’s law. The elastic problem. Saint-Venant Problem Geometric characterization. Mechanical characterization. Saint-Venant’s postulate and problem. Simple and combined stresses. Axial force through the centroid. Pure bending. Combined stresses: bending about an axis, eccentric axial force. Uniform torsion. Sections of arbitrary shape. Solid and hollow circular sections. Rectangular sections. Thin-walled double-conical sections (Bredt’s theory). Composite sections. Bending and shear (non-uniform bending). Approximate treatment according to Jourawski. Combined shear and torsion stress. Strength and Stability of Structures Mechanical response of materials of practical interest. Strength checks for brittle and ductile materials (slides). Stability of elastic equilibrium, Euler’s column, verification under axial load, post-critical behavior.

Scienza delle costruzioni, Paolo Casini, Marcello Vasta, Editore: CittàStudi - Edizione: 4 - Anno edizione: 2019 Tipo: Libro universitario Pagine: 496 p. EAN: 9788825174274 Esercitazioni di scienza delle costruzioni. Vol. 1, Erasmo Viola, Editore: Pitagora Collana: LPDI Lineamenti propedeutici di ingegneria Edizione: 3 Anno edizione: 1993 Tipo: Libro universitario Pagine: 320 p., ill. EAN: 9788837106652 Esercitazioni di scienza delle costruzioni. Vol. 2, Erasmo Viola, Editore: Pitagora Collana: LPDI Lineamenti propedeutici di ingegneria Edizione: 2 Anno edizione: 1985 Tipo: Libro universitario Pagine: 456 p., ill. EAN: 9788837103569