Mechanics of Solids and Structures

  • Maria Augusta Neto
  • Ana Amaro
  • Luis Roseiro
  • José Cirne
  • Rogério Leal


Solid and structural mechanics deal with the elasticity basic concepts and the classical theories of stressed materials. Mechanical components and structures are under a stress condition if they are subjected to external loads or forces. The relationship between stresses and strains, displacements and forces, stresses and forces are of main importance in the process of modeling, simulating and designing engineered technical systems. This chapter describes the important relationships associated with the elasticity basic concepts and the classical mathematical models for solids and structures. Important field variables of solid mechanics are introduced, and the dynamic equations of these variables are derived. Mathematical models for 2D and 3D solids, trusses, Euler-beams, Timoshenko-beams, frames and plates are covered in a concise manner.


Stress Field Displacement Field Transverse Shear Plane Stress Condition Warping Function 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Maria Augusta Neto
    • 1
  • Ana Amaro
    • 1
  • Luis Roseiro
    • 2
  • José Cirne
    • 3
  • Rogério Leal
    • 3
  1. 1.CEMUC - Centre for Mechanical EngineeringUniversity of CoimbraCoimbraPortugal
  2. 2.Department of Mechanical EngineeringPolytechnic Institute of CoimbraCoimbraPortugal
  3. 3.Department of Mechanical EngineeringUniversity of CoimbraCoimbraPortugal

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