Solid Mechanics II
Code
3656
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Engenharia Mecânica e Industrial
Credits
6.0
Teacher in charge
António Paulo Vale Urgueira, João Mário Burguete Botelho Cardoso
Weekly hours
5
Total hours
98
Teaching language
Português
Objectives
The Solid Mechanics II course studies the behaviour of beams subject to pure bending or subject to transversal loadings, accounting for the stresses and strains these loadings produce. Topics such as the partial or total yielding of the beam cross section, the buckling of the beam due to axial loading or the application of energy methods are also covered.
Prerequisites
It is recommended that students have obtained frequency/approval for the discipline Solid Mechanics I.
Subject matter
Pure Bending: Stresses and deformations in a symmetric member in pure bending. Bending of members made of several materials. Plastic deformations, residual stresses. Unsymmetrical bending. Bending of curved members. Beams under the general case of unsymmetrical bending and transversal loading: Shearing stress in common types of beams. Unsymmetrical loading of thin-walled members. Shear centre. Beam design: Beams under combined loading. Safety of structures. Yield criteria for ductile materials. Fracture criteria for brittle materials. Design of beams and transmission shafts. Deformation of a beam in bending: Elastic curve. Statically indeterminate beams. Use of singularity functions. Method of superposition. Use of beam deflection and slope tables. Buckling: Stability of columns. Euler''''s formula. Design of columns. Energy methods: Impact loading. Castigliano''''s theorem. Statically indeterminate structures.
Bibliography
Mechanics of Materials, 3th / 4th / 5th / 6th Edition
Ferdinand P. Beer, E. Russell Johnston, Jr., John T. DeWolf, David F. Mazurek (5th / 6th Ed.)
McGraw-Hill
Teaching method
Theoretical lectures and laboratory sessions.
Evaluation method
Continuous evaluation includes one group project (TR) and two quizzes (T1, T2). There is also the possibility to succeed in a final exam (E).
The project is mandatory and account 20% for the final grade. In order to be able to access the final exam, the minimum score of 10 must be attained.
Each quiz as a weight of 40% in the final grade. The minimum score of 9 must be attained for the average of the classifications obtained in quizzes in order to succeed continuous evaluation.
In order to succeed evaluation trough exam, a minimum score of 9 must be attained at the exam grade (E).
Final Grade (Continuous Evaluation) = 0,4 x (T1 + T2 ) + 0,2 x TR
Final Grade (Exam) = 0,8 x E + 0,2 x TR