Building engineering and architecture

1. Stress. Introduction; Equilibrium of a Deformable Body; Stress; Average Normal Stress in an Axially Loaded Bar; Average Shear Stress; Allowable Stress Design; Limit State Design 2. Strain. Deformation; Strain 3. Mechanical Properties of Materials. The Tension and Compression Test; The Stress—Strain Diagram; Stress—Strain Behavior of Ductile and Brittle Materials; Strain Energy; Poisson’s Ratio; The Shear Stress—Strain Diagram; Failure of Materials Due to Creep and Fatigue 4. Axial Load. Saint-Venant’s Principle; Elastic Deformation of an Axially Loaded Member; Principle of Superposition; Statically Indeterminate Axially Loaded Members; The Force Method of Analysis for Axially Loaded Members; Thermal Stress; Stress Concentrations; Inelastic Axial Deformation; Residual Stress. 5. Torsion. Torsional Deformation of a Circular Shaft; The Torsion Formula; Power Transmission; Angle of Twist; Statically Indeterminate Torque-Loaded Members; Solid Noncircular Shafts; Thin-Walled Tubes Having Closed Cross Sections; Stress Concentration; Inelastic Torsion; Residual Stress. 6. Bending. Shear and Moment Diagrams; Graphical Method for Constructing Shear and Moment Diagrams; Bending Deformation of a Straight Member; The Flexure Formula; Unsymmetric Bending; Composite Beams; Reinforced Concrete Beams; Curved Beams; Stress Concentrations; Inelastic Bending. 7. Transverse Shear. Shear in Straight Members; The Shear Formula; Shear Flow in Built-Up Members; Shear Flow in Thin-Walled Members; Shear Center for Open Thin-Walled Members 8. Combined Loadings. Thin-Walled Pressure Vessels; State of Stress Caused by Combined Loadings 9. Stress Transformation. Plane-Stress Transformation; General Equations of Plane-Stress Transformation; Principal Stresses and Maximum In-Plane Shear Stress; Mohr’s Circle–Plane Stress Absolute Maximum Shear Stress 10. Strain Transformation. Plane Strain; General Equations of Plane-Strain Transformation; Mohr’s Circle–Plane Strain; Absolute Maximum Shear Strain; Strain Rosettes; Material Property Relationships; Theories of Failure 11. Design of Beams and Shafts. Basis for Beam Design; Prismatic Beam Design; Fully Stressed Beams; Shaft Design 12. Deflection of Beams and Shafts. The Elastic Curve; Slope and Displacement by Integration; Discontinuity Functions; Slope and Displacement by the Moment-Area Method; Method of Superposition; Statically Indeterminate Beams and Shafts; Statically Indeterminate Beams and Shafts–Method of Integration; Statically Indeterminate Beams and Shafts–Moment-Area Method; Statically Indeterminate Beams and Shafts–Method of Superposition 13. Buckling of Columns. Critical Load; Ideal Column with Pin Supports; Columns Having Various Types of Supports; The Secant Formula; Inelastic Buckling; Design of Columns for Concentric Loading; Design of Columns for Eccentric Loading 14. Energy Methods. External Work and Strain Energy; Elastic Strain Energy for Various Types of Loading; Conservation of Energy; Impact Loading; Principle of Virtual Work; Method of Virtual Forces Applied to Trusses; Method of Virtual Forces Applied to Beams; Castigliano’s Theorem; Castigliano’s Theorem Applied to Trusses; Castigliano’s Theorem Applied to Beams

In order to understand the topics of the course and achieve the learning outcomes, it is necessary the background available through the usual fundamental courses required of civil engineering. These include: - Matrix algebra, theory of vectors, trigonometry; - Differential and integral calculus, partial and ordinary differential equations - Kinematic and static analysis of the determinate structures and matrix formulation of analysis procedure.

Russell C. Hibbeler, S. C. Fan. Mechanics of materials, Prentice Hall, 2011.

* A written exam (4 hours) - determine beam system - indetermine beam system - analysis of beam section * A oral exam (2 hours) Answer three questions in writing

Presence in the classroom.

The way the exam is conceived allows determining the student actual achievement of learning outcomes, with special emphasis on the applying knowledge and understanding skills. * A written exam and evaluation - determine beam system: max 10 - indetermine beam system: max 10 - analysis of beam section: max 10 Minimum score 18 * A oral exam and evaluation For each question max 10 Minimum score 18 Final score: average value

* A written exam (4 hours) - determine beam system - indetermine beam system - analysis of beam section * A oral exam (2 hours) Answer three questions in writing