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.

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter11: Columns
Section: Chapter Questions
Problem 11.3.7P: A column ABC is supported at ends A and C and compressed by an axial load P (figure a). Lateral...
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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
Transcribed Image Text: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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