Problem (9.4): A long slender column ABC is pinned at ends A and C and compressed by an axial force P (see Figure 9.27). At the midpoint B, lateral support is provided to prevent deflection in the plane of the figure. The column is a steel wide-flange section (W10 x 45) with E = 30x10 psi. The distance between lateral supports is L = 18 ft. Calculate the allowable load P using a factor of safety FS = 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 W 10 X 45 1 B A 000 2 Section X-X Figure (9.27)

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Chapter2: Loads On Structures
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Problem (9.4): A long slender column ABC is pinned at ends A and C and compressed
by an axial force P (see Figure 9.27). At the midpoint B, lateral support is provided to
prevent deflection in the plane of the figure. The column is a steel wide-flange section
(W10 x 45) with E = 30x10 psi. The distance between lateral supports is L = 18 ft.
Calculate the allowable load P using a factor of safety FS = 2.4, taking into account the
possibility of Euler buckling about either principal centroidal axis (i.e., axis 1-1 or axis 2-
2).
P
L W 10 X 45
L
Figure (9.27)
B
600
2
Section X-X
Transcribed Image Text:Problem (9.4): A long slender column ABC is pinned at ends A and C and compressed by an axial force P (see Figure 9.27). At the midpoint B, lateral support is provided to prevent deflection in the plane of the figure. The column is a steel wide-flange section (W10 x 45) with E = 30x10 psi. The distance between lateral supports is L = 18 ft. Calculate the allowable load P using a factor of safety FS = 2.4, taking into account the possibility of Euler buckling about either principal centroidal axis (i.e., axis 1-1 or axis 2- 2). P L W 10 X 45 L Figure (9.27) B 600 2 Section X-X
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