The stability and free vibration analyses of a Timoshenko beam-column with generalized end conditions (i.e., with semi-rigid flexural connections and lateral bracings at both ends) subjected to constant axial load (tension or compression), and weakened by a cracked section along its span are present
A note on analysis of beam-columns under arbitrary lateral load and end restraint
β Scribed by R.H. Scanlan
- Publisher
- Elsevier Science
- Year
- 1949
- Tongue
- English
- Weight
- 378 KB
- Volume
- 248
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
β¦ Synopsis
While reviewing some basic relationships and subtleties of Euler column theory, the author was led to consider a general and novel method of analysis applicable to beam columns. He is indebted to M. Yachter for early suggestions on the method, which is presented here. The method applies to long, constant-section beam columns having elastically restrained ends and arbitrary lateral loads.
The beam-column problem for elastic members has been successfully solvect for many years by numerous engineering investigators using approximate or specialized means. The present discussion is essentially mathematical, with suggestions for computation appended. The intent herein is to present a general solution rather than another particular one.
I. THE ELASTICALLY RESTRAINED COLUMN OF CONSTANT STIFFNESS
π SIMILAR VOLUMES
In this article, large deflection and rotation of a nonlinear beam subjected to a coplanar follower static loading is studied. It is assumed that the angle of inclination of the force with respect to the deformed axis of the beam remains unchanged during deformation. The governing equation of this p