8. A "rigid" horizontal beam AD is supported by two pin-ended columns as shown in the figure below. The columns have the same cross-sectional dimensions and are made of the same material (i.e., same I and same E). Determine (a) an expression for the load Wa that will cause elastic buckling of one of the columns, and indicate which column will buckle first (b) an expression for load W, that would cause the second column to buckle also. Assume that the force in the column that buckles first remains constant after that column buckles.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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8. A "rigid" horizontal beam AD is supported by two pin-ended columns as shown in the
figure below. The columns have the same cross-sectional dimensions and are made
of the same material (i.e., same I and same E). Determine
(a) an expression for the load Wa that will cause elastic buckling of one of the
columns, and indicate which column will buckle first
(b) an expression for load W, that would cause the second column to buckle also.
Assume that the force in the column that buckles first remains constant after that
column buckles.
B
H
L₂=1.5L
d
с
L=L
D
TW
Transcribed Image Text:8. A "rigid" horizontal beam AD is supported by two pin-ended columns as shown in the figure below. The columns have the same cross-sectional dimensions and are made of the same material (i.e., same I and same E). Determine (a) an expression for the load Wa that will cause elastic buckling of one of the columns, and indicate which column will buckle first (b) an expression for load W, that would cause the second column to buckle also. Assume that the force in the column that buckles first remains constant after that column buckles. B H L₂=1.5L d с L=L D TW
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