Research Article
Jan 1963
Vibrations of Linearly Tapered Cantilever Beams
This article has a reply.
VIEW THE REPLYThis article has a reply.
VIEW THE REPLYAuthors: G. W. Housner, M.ASCE, and W. O. KeightleyAuthor Affiliations
Publication: Transactions of the American Society of Civil Engineers
Volume 128, Issue 1
Abstract
The natural frequencies and mode shapes of the first three modes of vibration of tapered cantilever beams are presented for twelve different tapers. Tables of displacements and first and second derivatives of displacements are given as determined by means of a digital computer for Bernoulli-Euler beams. An examination is made of the accuracy of the results. Tables and graphs given will suffice to determine the mode shapes and frequencies of all linearly tapered cantilever beams with an accuracy adequate for practical purposes.
Get full access to this article
View all available purchase options and get full access to this article.
Information & Authors
Information
Published In
Copyright
© 1963 American Society of Civil Engineers.
History
Published in print: Jan 1963
Published online: Feb 10, 2021
Permissions
Request permissions for this article.
Authors
Affiliations
G. W. Housner, M.ASCE
Prof. of Engr., Californ ia Inst. of Tech., Pasadena, Calif.
W. O. Keightley
Asst. Prof. of Engrg., Montana State Coll., Bozeman, Mont., on leave.
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.
Cited by
View Options
Get Access
Access content
Please select your options to get access
Log in/Register
Log in via your institution (Shibboleth)
ASCE Members:
Please log in to see member pricing
Purchase
Save for later Item saved, go to cart Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Get Access
Access content
Please select your options to get access
Log in/Register
Log in via your institution (Shibboleth)
ASCE Members:
Please log in to see member pricing
Purchase
Save for later Item saved, go to cart Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.