A SIMPLE APPROXIMATION FOR THE FUNDAMENTAL FREQUENCIES OF TWO-SPAN AND THREE-SPAN CONTINOUS BEAMS

Abstract

A rapid approximate method is presented for calculating the fundamental frequencies of flexural vibration of two-span beams and of particular arrangements of three-span beams which are continuous over non-deflecting supports and are elastically restrained against rotation at their end supports. The end restraints nisy be provided by actual coil springs or they may represent the effect of adjoining members, but in all cases the stiffnesses of these restraints are assumed to be positive. The mass per unit of length and the flexural rigidity of the beams may vary from one span to the next, but in any one span these quantities are considered constant. Two nuinerical examples are included to illustrate the application of the method.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1954
Accession Number
AD0029637

Entities

People

  • A. S. Veletsos
  • N. M. Newmark

Organizations

  • University of Illinois Urbana–Champaign

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Communities of Interest

  • Weapons Technologies

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  • Aeronautical Engineering
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  • Frequency
  • Government Procurement
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  • Materials Laboratories
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  • Resonant Frequency

Fields of Study

  • Engineering

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  • Structural Dynamics.