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Mechanics of Composite Structures by George S. Springer, László P. Kollár

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CHAPTER SEVEN

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Beams with Shear Deformation

Frequently, beams undergoing small deformations may be analyzed by the Bernoulli–Navier hypothesis, namely, by the assumptions that planes of the cross section remain plane and perpendicular to the axis (Fig. 7.1, left).

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Figure 7.1: Deformation of a beam in the xz plane without shear deformation (left) and with shear deformation (right).

In this chapter we treat beams for which the Bernoulli–Navier hypothesis is invalid. In the analysis we employ an x, y, z, coordinate system with the origin in the centroid. ...

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