Finite Element Analysis of Space Frame Structures

  • Halil Karadeniz
  • Mehmet Polat Saka
  • Vedat Togan
Part of the Springer Series in Reliability Engineering book series (RELIABILITY)


This chapter is devoted to the mechanics of space frame structures and presents necessary formulations for the finite element analysis of space frames. It contains eight sections. Section 1.1 is introduction which summarizes briefly the beam theories in general. Section 1.2 presents deformations, equilibrium equations and rotations, differential equations and solutions, stiffness and mass matrices, consistent load vectors of three-dimensional (3D) Timoshenko beams in general. It explains also the coordinate systems and transformations of 3D beams used in the FEA. Section 1.3 is devoted to member releases and formulation of partly connected members which are represented by spring-beam elements. Section 1.4 explains the formulation of eccentrically connected members. Section 1.5 presents formulations of an interface beam element to take into account soil–beam interactions in the analysis. It explains also soil deformations under Rayleigh wave propagation and calculation of the exerted forces. Section 1.6 is devoted to the calculation of natural frequencies and mode shapes. Consequently, Sect. 1.7 presents dynamic response analysis. Section 1.8 is devoted to examples.


Stiffness Matrix Mass Matrix Beam Element Load Vector Rigid Block 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



With thanks to ASME for kindly granting permission for the reuse of materials printed in OMAE-2010 [73] as adopted in this chapter in Sect. 1.3.


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Copyright information

© Springer-Verlag London 2013

Authors and Affiliations

  • Halil Karadeniz
    • 1
  • Mehmet Polat Saka
    • 2
  • Vedat Togan
    • 3
  1. 1.Faculty of Civil Engineering and GeosciencesDelft University of TechnologyDelftThe Netherlands
  2. 2.Department of Engineering SciencesMiddle East Technical UniversityAnkaraTurkey
  3. 3.Department of Civil EngineeringKaradeniz Technical UniversityTrabzonTurkey

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