✦ LIBER ✦
Bessel functions and buckling of the uniform column under combined action due to its own weight and an axial load
✍ Scribed by Jean Daniel
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 464 KB
- Volume
- 317
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
✦ Synopsis
If one considers the set of vertical and horizontal loads applied to the column with constant inertia, the classical homogeneous Euler differential equation of the third-order expressing the behavior of the column under its own weight uniformly distributed along the vertical axis is transformed into a non-homogeneous equation by the concept offictitious length.
A new operator attached to Bessel junctions is introduced, and the general solution to the nonhomogeneous equation is obtained, leading to a formula expressing the critical load of the bar. Newformulae are also proposedfor the critical load of the bar under its own weight acting alone, and under different support conditions.