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In: Civil Engineering

Q 7. Explain Finite Elements Solution of Bean on Elastic Foundation.

Q 7. Explain Finite Elements Solution of Bean on Elastic Foundation.

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Both beam and elastic foundations are separate structural elements, the problem of beam on elastic foundation is of greater significance, as this problem can help us solve problems like to study the behavior of floating body on water.

Various assumptions are followed from the elementary beam theory in order to do analysis of the beam on the elastic foundation like:

1) before and after the deformation of the beam, the plane section remain plane.

2) slopes of the beam are considered as small.

3) beams material is homogeneous, isotropic and continuous.

generally the analysis of beam for property like bending is based upon the assumption that the reaction forces on elastic foundation are proportional to the deflection at various points of the beam. the displacement finite element method can be used for analyzing the beam on elastic foundation.

The resultant finite element solution will help in finding accurate values of displacements, bending, shear of beam on elastic foundation.

Ally Wells answered 1 year ago
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