Brief Report
Jun 1971

Frequencies of Beams with Elastic Warping Restraint

Publication: Journal of the Structural Division
Volume 97, Issue 6

Abstract

The free flexural-torsional vibrations of beams of thin-walled open cross sections have been studied extensively. In previous investigations arbitrary boundary conditions on the translational displacements have been considered. However, treatment of the rational displacement which defines twist has been confined to boundary conditions where warping of the cross section is either entirely free or completely restrained. The degree to which partial fixity on warping affects the fundamental natural frequencies of the member is described herein.

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Journal of the Structural Division
Volume 97Issue 6June 1971
Pages: 1835 - 1840

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Published in print: Jun 1971
Published online: Feb 1, 2021

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Paul Christiano, AM.ASCE
Assoc. Prof., Dept. of Civ. and Min. Engrg., Univ. of Minnesota, Minneapolis, M.N.
Larry Salmela, AM.ASCE
Civ. Engr. Trainee; United States Steel Corp., Virginia, MN; formerly, Student, Univ. of Minnesota, Minneapolis, MN

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