11.3-18 A long slender column ABC is pinned at ends A and C and compressed by an axial force P (see figure). At the midpoint B, lateral support is pro- vided to prevent deflection in the plane of the figure. The column is a steel wide-flange section (W 250 × 67) with E 200 GPa. The distance between lateral supports is L = 55m L.

11.3-18 A long slender column ABC is pinned at ends A and C and compressed by an axial force P (see figure). At the midpoint B, lateral support is pro- vided to prevent deflection in the plane of the figure. The column is a steel wide-flange section (W 250 × 67) with E 200 GPa. The distance between lateral supports is L = 55m L.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.

Question

11.3-18 A long slender column ABC is pinned at
ends A and C and compressed by an axial force P
(see figure). At the midpoint B, lateral support is pro-
vided to prevent deflection in the plane of the figure.
The column is a steel wide-flange section (W 250 ×
67) with E = 200 GPa. The distance between lateral
supports is L = 5.5 m.
Calculate the allowable load P using a factor of
safety n = 2.4, taking into account the possibility of
Euler buckling about either principal centroidal axis
(i.e., axis 1-1 or axis 2-2).
Pl
2
L
W 250 x 67
1
L
X
B
==========ASEE
X
A
PROBLEM 11.3-18
2
Section X-X

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