THE BUCKLING OF THE GRILLAGES CONSISTING OF THE SAME OR DIFFERENT TRANSVERSE BEAMS,
Abstract
The paper is chiefly composed of two parts. The first part deals with the buckling of the grillages with the same transverse beams. In solving the differential equations of the neutral equilibrium of these grillages, a simplified assumption is made that all the transverses and longitudinals have the same modes of buckling Y and X respectively. With this assumption the original problem is converted into that of buckling an equivalent longitudinal beam, attached to an elastic foundation or to some of the same intermediate elastic supports, and loaded with an equivalent axial force, the mode of buckling being X. The modulus of the elastic foundation or the elastic supports, as well as the magnitude of the axial force, are related to the natural frequency of an equivalent beam having the natural mode of vibration as Y. The calculating formulas derived by the author can be used either for solving exactly the grillages with the same longitudinals, or for solving approximately those with different longitudinals symmetrically arranged in any form. In the second part of the paper, the problem of the buckling of the grillages consisting of both different longitudinals and different transverses has been studied. On the basis of the deduction made in the first part, this problem is converted into that of buckling an equivalent longitudinal beam attached to some different intermediate elastic supports. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 16, 1967
- Accession Number
- AD0675246
Entities
People
- Chu Hsiu-pen
Organizations
- National Air and Space Intelligence Center