A Simple Approximation for the Fundamental Frequencies of Two-Span and Three-Span Continuous Beams

Veletsos, A.S.; Newmark, N.M.

Permalink

https://hdl.handle.net/2142/13956 Copy

Description

Title

A Simple Approximation for the Fundamental Frequencies of Two-Span and Three-Span Continuous Beams

Author(s)

• Veletsos, A.S.
• Newmark, N.M.

Issue Date

1954-02

Keyword(s)

• Flexure
• Continuous 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 may 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 numerical examples are included to illustrate the application of the method.

Publisher

University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.

Series/Report Name or Number

Civil Engineering Studies SRS-066

Type of Resource

text

Language

en

Permalink

http://hdl.handle.net/2142/13956

Sponsor(s)/Grant Number(s)

• Office of Naval Research. Department of the Navy.
• Contract N60ri-071(06), Task Order VI, Project NR-064-183

Owning Collections