The lifted beam (Q1082871)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The lifted beam |
scientific article; zbMATH DE number 3974425
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The lifted beam |
scientific article; zbMATH DE number 3974425 |
Statements
The lifted beam (English)
0 references
1987
0 references
A slender elastic beam of uniform density and finite length is lifted by a vertical force. The problem is governed by the location of the lifting force and a nondimensional parameter K which is a measure of density and length to flexural rigidity. Linear analysis shows the beam bifurcates from the straight, upright configuration if K is larger than a certain critical value. For large deformations the governing equations are integrated numerically to yield the maximum moment, force and displacements.
0 references
bifurcation
0 references
numerical integration
0 references
nonlinear governing equations
0 references
fifth order Runge-Kutta-Fehlberg algorithm
0 references
slender elastic beam
0 references
uniform density
0 references
finite length
0 references
lifted
0 references
vertical force
0 references
large deformations
0 references
maximum moment, force and displacements
0 references
