Solid Mechanics II
Faculdade de Ciências e Tecnologia
Departamento de Engenharia Mecânica e Industrial
Teacher in charge
António Paulo Vale Urgueira, João Mário Burguete Botelho Cardoso
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.
It is recommended that students have obtained frequency/approval for the courses Applied Mechanics I and Solid Mechanics I.
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: Introduction to energy methods. Potential energy and strain energy. Impact loading. Castigliano''''''''s theorem. Statically indeterminate structures.
Mechanics of Materials, 3rd or 4th Edition, Ferdinand P. Beer, E. Russell Johnston, Jr. and John T. DeWolf, McGraw-Hill
Lectures and laboratory sessions.
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.
The quizzes will be solved on Saturdays 6 April (T1) and 25 May (T2), due to the great number of students involved.
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