Solid Mechanics | 27. Euler-Bernoulli Beam Theory by Abraham | Learn Smarter
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27. Euler-Bernoulli Beam Theory

The theory of beams focuses on analyzing slender bodies subjected to various loads, emphasizing the approximation of deformations along the centerline rather than solving complex three-dimensional equations. Introduction to the Euler-Bernoulli beam theory provides foundational concepts, including assumptions and equations essential for understanding beam deflections under different loading conditions. Numerous examples illustrate the application of these concepts to real-world problems, such as clamped and simply supported beams.

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Sections

  • 1

    Introduction

    This section introduces the theory of beams, defining beams and their characteristics while discussing the significance of beam theory in understanding deformation under load.

    Learning Practice

  • 2

    Euler-Bernoulli Beam Theory

    This section introduces the Euler-Bernoulli beam theory, which simplifies the analysis of beam deflection by assuming that the beam's centerline and cross-section properties are aligned and that axial displacement is negligible.

    Learning Practice

  • 2.1

    Example 1

    This section illustrates the application of Euler-Bernoulli Beam Theory using a specific example of a straight beam subjected to a transverse load.

    Learning Practice

  • 2.2

    Example 2

    This section discusses the application of beam theory, particularly focusing on simply supported beams subject to constant distributed loads.

    Learning Practice

  • 2.3

    Example 3

    Learning

References

ch27.pdf

Class Notes

Memorization

What we have learnt

  • A beam is characterized by ...
  • The Euler-Bernoulli beam th...
  • Boundary conditions play a ...

Final Test

Revision Tests