Solid Mechanics II


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.

General characterization





Responsible teacher

António Paulo Vale Urgueira, Pedro Samuel Gonçalves Coelho


Weekly - 5

Total - 98

Teaching language





Mechanics of Materials, 3th / 4th / 5th / 6th Edition

Ferdinand P. Beer, E. Russell Johnston, Jr., John T. DeWolf, David F. Mazurek (5th / 6th Ed.)


Teaching method

Theoretical lectures and laboratory sessions.

Evaluation method

To be approved in the course, 2 group projects (TR1, TR2) and 2 tests (T1, T2) must be solved. There is also the possibility to go to a final exam (E).

The projects are mandatory to have access to the Exam and to be approved in the continuous evaluation. Each project has a weight of 15%.

To succeed continuous evaluation, (T1+T2)/2>=9,5.

In order to succeed evaluation trough exam, E>=9,5.

Final Grade (Continuous Evaluation) = 0,35 x (T1 + T2 ) + 0,15 x (TR1 + TR2 )

Final Grade (Exam) = 0,7 x E + 0,15 x (TR1 + TR2 )

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.


Programs where the course is taught: