Introduction and basic concepts.
Motion and constraints of in-plane rigid bodies with focus on beams.
Classification, determination of degrees of freedom, determination of overconstraints.
Loads applied to structures.
Concentrated loads; distributed loads; effects of change of temperature and applied displacements.
Statically determinate planar beam systems.
Determination of reaction forces and of internal actions (axial force, shear, and bending moment).
Graphical statics.
Composition and decomposition of forces; funicular polygon; determination of reaction forces in statically determinate planar beam systems; determination of geometric properties of plane areas; statical verification of arches.
Geometric properties of plane areas.
Determination of centroids, first-order moments, moments of inertia, principal values and principal directions of moments of inertia.
Materials for structures.
General considerations; definition of Cauchy stress; description of the mechanical behaviour of materials on the basis of uniaxial tests: strength, elasticity, introduction to the concepts of plasticity and viscosity; definitions of Young modulus and Poisson's ratio for isotropic materials.
Analysis of stress and deformation in beams: axial force.
Axial deformation; axial stiffness; analysis of simple statically indeterminate systems subjected to axial load loading.
Analysis of stress and deformation in beams: bending moment.
Deformation due to bending and Bernoulli-Navier kinematics.
Bending moment combined with axial force.
Analysis of stress and deformation in beams: shear force.
Jourawski theory and applications; introduction to shear deformations.
Determination of the displacement field in planar beams and its application to simple statically indeterminate problems.
Introduction to stability analysis; buckling limit for Euler beams.
