Class Strenght of Materials

The Strength of Materials Course is the first contact of the students with phenomena that occur inside structural elements (stresses and deformations). Therefore, Course starts with fundamental knowledge on the mechanical behavior of materials. Next, the fundamental concepts of Structural Mechanics are reviewed, such as the effects that the various internal forces have on the stresses in the cross sections of structural elements. The fundamental concepts of the Theory of Elasticity are also presented, including transformations of stresses and strains, Mohr's circle in two dimensions, and generalized Hooke's Law. Yield criteria for ductile materials are introduced and the plastic analysis of bars subjected to bending is presented in some detail (pushover analysis). The bases of the instability of columns are also presented.

• Mechanical behavior of materials
  • Uniaxial tests
  • Elastic and elasto-plastic behavior
  • Bauschinger's effect
• Traction and compression of bars
  • Stress, strain and displacement
  • statically indeterminate problems
  • Problems involving temperature variations
  • Prestressed bars
  • Energy methods for calculating displacements. Virtual Work Principle (VWP)
• Bending in straight beams
  • Pure bending
  • Oblique bending
  • Bending with axial force
  • Calculation of displacements using VWP
  • Prestressed beams
  • Non-linear bending
  • Pushover analysis
• Shear forces in straight beams
  • Shear flux. Shear stresses
  • Deformation. Reduced area
• Torsion in straight beams
  • Bar with circular section bar. Stresses and deformations
• Theory of Elasticity
  • Stress tensor. Cauchy's formula
  • Maximum stresses
  • Mohr's Circles
  • Strain tensor
  • Generalized Hooke's Law
  • Yield criteria for ductile materials
• Instability of Ccolumns
  • Critical load

Applied study: beam displacement calculation competition, with verification in the laboratory

Resistance Club: one extra hour per week

• Beer, Ferdinand P., Jr., E. Russel Johnston., DeWolf, John T., Mazurek, David F., Mecânica dos Materiais. McGraw Hill, 8ª Edição, 2020.
• Cortez Teixeira PI, Moldovan ID, Barata Marques M – Elasticidade: Conceitos e Applicções. IST Press, Lisbon, 2022. ISBN: 978-898-8481-90-0.
• Timoshenko, S., Strength of Materials, Part I, Elementay Theory and Problems. D. Van Nostrand Company, Inc, 2nd Edition, 1940. 
• Documentos de apoio disponibilizados ao longo do semestre.