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Solid Mechanics II

Code 16156
Year 3
Semester S1
ECTS Credits 6
Workload TP(60H)
Scientific area Mechanics and Thermodynamics
Entry requirements N.A.
Learning outcomes Continuing the CU Solid Mechanics I, the main objective is the study of solid mechanics. In particular, the study of particular cases of plane stress states is continued, in order to analyze stresses and strains in situations with temperature variations, in bended beams of open thin wall sections and in torsion of bars with thin-walled closed sections. From the deformation and displacements in the supports, hyperstatic problems will be solved. The main strength criteria are also addressed. Loading situations where the elastic limit is exceeded will also be addressed, considering the bilinear elastoplastic model. Geometric nonlinearity and equilibrium instability are also discussed. The law of conservation of energy is also discussed. In particular, energetic methods will be used to calculate displacements in structures. Thus, it is intended to deepen the techniques of structural design.
Syllabus Solution of hyperstatic problems considering displacements in the supports.
Stress analysis due to temperature variations.
Shear stresses in bended thin-walled open-section beams; Asymmetric loading; Torsion center.
Strenght criteria; Mohr's Envolution; Maximum normal stress, maximum shear stress and maximum distortion energy criteria. Surface of the limit states in the space of principal stresses.
Elastoplastic constitutive model; Isotropic and kinematic hardening; Tension and torsion bars, or bending beams, in the plastic regime.
Geometric non-linearity; Limit point and equilibrium bifurcation concepts; Effect of imperfections; Euler buckling; Eccentric loading.
Energy conservation; Elastic potential energy for tensile, torsional and bending efforts; Work of external and internal forces; Energetic methods; Castigliano's Method; Principle of Virtual Works; Resolution of hyperstatic structures
Main Bibliography Bower, A. F. 2012, Applied Mechanics of Solids, CRC Press
Beer, J. e DeWolf, 2003. Mecânica dos Materiais, McGraw-Hill
Nash W. A. e Potter M. C. Resistência dos Materiais, Bookman
Language Portuguese. Tutorial support is available in English.
Last updated on: 2023-01-25

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