Structural Analysis I
Description:
Introduction to the static analysis of structures. Concepts of a rigid configuration and of a structure. Supports of a structure. Loads. Equations of equilibrium. Statically determinate and indeterminate structures. Evaluation of the degree of statical indeterminacy. Geometrically unstable structures. Resolution of complex statically determinate structures. Small deformation theory. Cross-sectional stresses. Stress resultants’ diagrams of simply supported, cantilever and Gerber-type beams. Three-hinged arches. Cable members. Trusses. System-supported beams. Influence lines of simply supported beams, Gerber-type beams, three-hinged arches, trusses. Maximum and minimum stress resultants under different types of live loads. Statically and kinematically admissible systems. The principle of virtual work for bar-type structures. Betti-Maxwell theorem. Unit load theorem. Deformation calculations for statically determinate structures.
Exercise 0
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Introduction to the static analysis of structures. Concepts of a rigid configuration and of a structure. Supports of a structure. Loads. Equations of equilibrium. Statically determinate and indeterminate structures. Evaluation of the degree of statical indeterminacy. Geometrically unstable structures. Resolution of complex statically determinate structures. Small deformation theory. Cross-sectional stresses. Stress resultants’ diagrams of simply supported, cantilever and Gerber-type beams. Three-hinged arches. Cable members. Trusses. System-supported beams. Influence lines of simply supported beams, Gerber-type beams, three-hinged arches, trusses. Maximum and minimum stress resultants under different types of live loads. Statically and kinematically admissible systems. The principle of virtual work for bar-type structures. Betti-Maxwell theorem. Unit load theorem. Deformation calculations for statically determinate structures.
Exercise 0
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6