On the buckling of a column in an elastic medium
One deals with the buckling of a cantilever column in an elastic medium by the aid of the differential eqns (2), (2′) with bilocal conditions (3), (3′). Introducing the conventional load (4), one considers the three cases P cr < P 0, P cr = P 0 and P cr > P 0 and one determines the correspondi...
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| Published in | International journal of engineering science Vol. 19; no. 12; pp. 1749 - 1755 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
1981
|
| Online Access | Get full text |
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| Summary: | One deals with the buckling of a cantilever column in an elastic medium by the aid of the differential eqns (2), (2′) with bilocal conditions (3), (3′). Introducing the conventional load (4), one considers the three cases
P
cr <
P
0,
P
cr =
P
0 and
P
cr >
P
0 and one determines the corresponding characteristics eqns (8″), (12), (15″). The reduced critical load
P
cr
P
)
and the reduced critical length
l
cr
l
are listed in a table and plotted into diagrams for various values of an adimensional magnitude
bl. One obtains also the asymptotic formulae (16), (16′). |
|---|---|
| ISSN: | 0020-7225 1879-2197 |
| DOI: | 10.1016/0020-7225(81)90165-8 |