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On beams with many elastic supports

โœ Scribed by Yu Chen

Publisher
Elsevier Science
Year
1963
Tongue
English
Weight
340 KB
Volume
276
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

A new method of determining the deflection and the natural frequencies of vibration for beams with many elastic supports is presented. The basic idea of the method is the use of the Dirac delta-function to introduce the concentrated loads applied to the beam by the elastic supports in the governing differential equation. This approach avoids the necessity of having to analyze the beam in many spans, consequently achieving economy of thought.

๐Ÿ“œ SIMILAR VOLUMES

Continuous Beams with Unilateral Elastic
Continuous Beams with Unilateral Elastic Supports
โœ Carlo Tosone; Aldo Maceri ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 111 KB

We analyse the problem of continuous elastic beam on unilateral elastic supports. The study is done in the appropriate analytical framework by using the functional analysis methods and the variational inequalities theory results.

Buckling of continuous beams on elastic
Buckling of continuous beams on elastic supports
โœ Edward Saibel ๐Ÿ“‚ Article ๐Ÿ“… 1952 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 148 KB

The continuous beam having elastic intermediate supports, equally spaced and of equal stiffness, is solved for the condition that they behave as rigid supports when the beam buckles under the action of an axial compressive force. The exact solution is given in closed form.