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In this chapter, the stiffness matrix of a two-node beam element is derived. The beam is a structural element with axial, torsional and bending stiffness. In this case, each stiffness is considered in this derivation. The methodology behind this derivation is presented in Sect. 7.1. Section 7.2 details the assumptions underlying the finite element beam definition and specifies the associated geometric data. The derivation of the stiffness matrix utilizes the PVD approach, as discussed in the preceding chapters. The same techniques as in the previous chapters are employed for the derivation of the stiffness matrix, including.

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Stiffness Matrix of a Beam Under Combined Load

  • 章节

  • 发表日期：

    2026年

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  • Erasmo Carrera,
  • Gerlando Augello,
  • Riccardo Augello

摘要

In this chapter, the stiffness matrix of a two-node beam element is derived. The beam is a structural element with axial, torsional and bending stiffness. In this case, each stiffness is considered in this derivation. The methodology behind this derivation is presented in Sect. 7.1. Section 7.2 details the assumptions underlying the finite element beam definition and specifies the associated geometric data. The derivation of the stiffness matrix utilizes the PVD approach, as discussed in the preceding chapters. The same techniques as in the previous chapters are employed for the derivation of the stiffness matrix, including.