11.3-6 A horizontal beam AB is pin-supported at end A and carries a clockwise moment M at joint B, as shown in the figure. The beam is also supported at C by a pinned-end column of length L; the col- umn is restrained laterally at 0.6L from the base at D. Assume the column can only buckle in the plane of the frame. The column is a solid steel bar (E = 200 GPa) of square cross section having length L = 2.4 m and side dimensions b = 70 mm. Let dimensions d = L/2. Based upon the critical load of the column, deter- mine the allowable moment M if the factor of safety with respect to buckling is n = 2.0. R.

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 11.3.6P: A horizontal beam AB is pin-supported at end A and carries a clockwise moment M at joint B, as shown...
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11.3-6 A horizontal beam AB is pin-supported at
end A and carries a clockwise moment M at joint B,
as shown in the figure. The beam is also supported
at C by a pinned-end column of length L; the col-
umn is restrained laterally at 0.6L from the base at D.
Assume the column can only buckle in the plane of the
frame. The column is a solid steel bar (E = 200 GPa)
of square cross section having length L = 2.4 m and
side dimensionsb = 70 mm. Let dimensions d = L/2.
Based upon the critical load of the column, deter-
mine the allowable moment M if the factor of safety
with respect to buckling is n
2.0.
A
C
В
d
2d
M
L
0.6 L
PROBLEM 11.3-6
Transcribed Image Text:11.3-6 A horizontal beam AB is pin-supported at end A and carries a clockwise moment M at joint B, as shown in the figure. The beam is also supported at C by a pinned-end column of length L; the col- umn is restrained laterally at 0.6L from the base at D. Assume the column can only buckle in the plane of the frame. The column is a solid steel bar (E = 200 GPa) of square cross section having length L = 2.4 m and side dimensionsb = 70 mm. Let dimensions d = L/2. Based upon the critical load of the column, deter- mine the allowable moment M if the factor of safety with respect to buckling is n 2.0. A C В d 2d M L 0.6 L PROBLEM 11.3-6
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