Guia docente 2013_14 Escuela de Ingeniería Industrial

Contents

Topic	Sub-topic
Fundamentals of elasticity	Introduction to the theory of elasticity Stress analysis of elastic solids Strain Stress-strain relationships Two-dimensional elasticity
Bending. Stress	Non uniform bending: Shear stresses. Zhuravski expression Principal stresses. Stress trajectories Bending and axial load: Normal stresses. Neutral axis Eccentric axial loads Kern of the cross-section
Bending. Deflections	Composite beams
Bending. Statically indeterminate beams	General method Settlements in fixed supports Continuous beams
Torsion	Definition Coulomb’s fundamental theory Static torque diagrams Stress and angle of twist Statically indeterminate problems
Combined loads	Definition Bending and torsion loaded circular shafts Shear center
Buckling	Introduction Buckling and stability Euler’s buckling. Critical load Buckling effective length Application limits of Euler’s formula. Real buckling Eccentric compression of slim columns Shearing force and critical load
Strain energy and energy methods	Strain energy: Axial load/shearing loads/bending/torsion/general expression. Maxwell–Betti Reciprocal Theorem. Applications Castigliano’s theorem. Mohr's integral. Applications
Criteria of failure based in tensions	Saint-Venant’s failure criterion Tresca’s failure criterion Von-Mises’ failure criterion