A horizontal beam AB is pin-supported at end A and carries a load Q at joint B, as shown in the figure part (a). The beam is also supported at C by a pinned-end column of length L. The column has flexural rigidity EI. (a) For the case of a pin support at A (figure pare (a)), what is the critical load Qcr? (In other words, at what load Qcr? does the system collapse because of Euler buckling of the column DC?) (b) Repeat (a) if the pin support at A is replaced by column AF with length and flexural rigidity EI (see figure part (b)). (a) L 2d о B F 3L 22 2 d 2d D Do (b) L B

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 11.3.12P: -12 A horizontal beam AB is supported at end A and carries a load Q at joint B, as shown in the...
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A horizontal beam AB is pin-supported at end A and carries a load Q at joint B, as shown in
the figure part (a). The beam is also supported at C by a pinned-end column of length L. The
column has flexural rigidity EI.
(a) For the case of a pin support at A (figure pare (a)), what is the critical load Qcr? (In other
words, at what load Qcr? does the system collapse because of Euler buckling of the column
DC?)
(b) Repeat (a) if the pin support at A is replaced by column AF with length and flexural
rigidity EI (see figure part (b)).
(a)
L
2d
о
B
F
3L
22
2
d
2d
D
Do
(b)
L
B
Transcribed Image Text:A horizontal beam AB is pin-supported at end A and carries a load Q at joint B, as shown in the figure part (a). The beam is also supported at C by a pinned-end column of length L. The column has flexural rigidity EI. (a) For the case of a pin support at A (figure pare (a)), what is the critical load Qcr? (In other words, at what load Qcr? does the system collapse because of Euler buckling of the column DC?) (b) Repeat (a) if the pin support at A is replaced by column AF with length and flexural rigidity EI (see figure part (b)). (a) L 2d о B F 3L 22 2 d 2d D Do (b) L B
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