**1) Basic notions**. Introduction to statics of structures; main hypotheses of linear theory; types of loads; structures, structural members and connections; equilibrium of forces;
P1.** Graphic statics basics.** Two forces with parallel lines of action; two concurrent forces; system of concurrent forces; theorem of three forces; funicular polygon; examples (precepts).
**2) Static classification of structures**. Degrees of freedom; determinacy and stability of beams; determinacy and stability of structures; examples.
**3) Internal loads**. Stress distribution in cross-section; Equilibrium of beam segments; Internal forces in a point; S and M functions; N, S, M diagrams; examples.
**4) Gerber beam**. Simply supported beam with cantilevers; beam with one vertical support; beam with no external supports; examples; a famous “Gereber-like” structure; wrong combinations of elements; challenge.
**5) Three hinged structures**. Graphic statics; equations of equilibrium; example; beam analogy for vertical loads; two beams with “imaginary” pin supports; two beams with an “imaginary” hinge; improper constraints; complex structures; example; a famous three-hinged structure.
**6) Arches and suspension bridges**. Indirect load**.** Three hinged arch; arch with tie; deck stiffened arch; suspension bridge; example; a famous deck-stiffened structure; Masonry arch – challenge.
**7) Influence lines, simple structures**. Note on sign conventions; influence lines – basic notions; simply supported beam; cantilevered beam; determination of influences using influence lines.
**8) Influence lines, complex structures**. Gerber beam; arches and suspension bridges; determination of maximum influence using influence lines; examples; a non-famous Gerber beam.
**9) Simple trusses**: Introduction; determinacy and stability of simple trusses; method of joints; example; zero force members; challenge.
**10) Compound and complex trusses**: Method of sections; compound trusses; complex trusses; systems of trusses; example; determinacy and stability; example.
**11) Influence lines for trusses**: Simple truss; systems of trusses; example; challenge.
**12) Deflections I**: Introduction; sources of deflection, strain, curvature; deflection diagram (elastic curve); main hypothesis and border conditions; qualitative deflection diagram; elastic beam theory and integration method; example.
**13) Deflections II**: Conjugate-beam method; example; principle of virtual works; example.
**14) Indeterminate (hyperstatic) structures – force method**: Introduction; advantages and disadvantages of indeterminate structures; methods of analysis; force method; Maxwell’s theorem of reciprocal displacements; example.
**15) Symmetric structures and deflections**: Symmetric structures; deflections of symmetric structures; example.
**16) Influence lines for deformations and indeterminate structures**: Influence lines for deformations; example; influence lines for indeterminate structures using force method; example; influence lines using kinematic method; example; deflections; example. |