Educational guide 2023_24Escola de Enxeñaría Industrial
 Grado en Ingeniería Mecánica Subjects Elasticity and additional topics in resistance of materials 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 Criteria of failure based in tensions Saint-Venant’s failure criterion Tresca’s failure criterion Von-Mises’ failure criterion Safety coefficient Bending 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 Beams of different materials Bending. Statically indeterminate beams General method Settlements in fixed supports Continuous beams Simplifications in symmetric and antisymmetric 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 Stress and strain calculation in plane-spatial structures Strain energy and energy methods Strain energy: Axial load/shearing loads/bending/torsion/general expression. Clapeyron's theorem Indirect and direct work Maxwell–Betti Reciprocal Theorem Applications Castigliano’s theorem. Mohr's integral. Applications Buckling Introduction Buckling and stability Euler’s buckling. Critical load Buckling effective length Application limits of Euler’s formula. Real buckling
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