In the design of an elastic structure, a major consideration is the overall stability of the system under axial load or a combination of an axial load and bending moment. In first-order analysis the effects of axial forces on the stiffness formulation and their influence on deformations of the members are usually neglected. If the axial forces are sufficiently large, a better indication of the distribution of the forces and moments in the structure is obtained by using a second-order analysis. In this type of analysis the moment equilibrium equations are based on the deformed shape of the structure. The secondary moments produced by axial forces acting through the deformed structure are considered in the computation of stiffness term. The secondary moments are called P-Delta effects. In this paper, by using a finite element computer program, the effects of axial loads on a plane frame structure are investigated. The method of analysis, based on the critical values of applied lateral forces on the elastic stability of the frame, will be referred to in this paper as a second order analysis. Example problems are included to serve to document this analytical approach.
| Identifer | oai:union.ndltd.org:ucf.edu/oai:stars.library.ucf.edu:rtd-5764 |
| Date | 01 January 1985 |
| Creators | Hosseini, Abbas K. |
| Publisher | STARS |
| Source Sets | University of Central Florida |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | Retrospective Theses and Dissertations |
| Rights | Public Domain |
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