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Chapter 3: Beams and Frames

Chapter 3: Beams and Frames

pp. 69-110

Authors

, University of Maryland, College Park, , University of Maryland, College Park
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Extract

In this chapter we first consider finite element modeling of slender bodies undergoing bending deformation. This will be followed by a discussion on frame structures which can be modeled as an assemblage of slender bodies rigidly connected. First, we will introduce the Bernoulli--Euler theory of beam bending as a review and extension of what is typically covered in an undergraduate sophomore-level course on mechanics of materials. We will then introduce the frame element which can be used to model frame structures deforming in the 2D plane and 3D space.

Keywords

  • Beam elements
  • bending deformation
  • Bernoulli--Euler beam theory
  • frame structures
  • frame elements
  • elastic foundation

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