Structural Analysis I

Plastic analysis of structures: Introduction, stress-strain relation, plastic moment, shape of plastic zones, bending moment and curvature relation, plastic hinge, collapse mechanism.  Simple cases of plastic collapse: simply supported beam, fixed ended beams.  Rectangular portal frames.  Basic theorems: Uniqueness theorem, static theorem and kinematic theorems with examples.  Effects of axial and shearforces in plasticity analysis of beams and frames.  Matrix analysis of structures: Introduction, Matrix formulation of force and displacement methods, solution of trusses, plane and space frames.  Computer applications.