A horizontal beam ABis pin-supported at end A and carries a load Q at joint B, as shown in the figure. The beam is also supported at C by a pinned-end column of length L; the column 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 aluminum bar (E = 10 x 106 psi) of square cross section having a length L= 30 im and side dimensions b = 1.5 in. Let dimension d= L/2. Based upon the critical load of the column, determine the allowable force Qif the factor of safety with respect to buckling is n= 1.8. B d 2d 0.6 L PROBLEM 11.3-11

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
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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A horizontal beam AB is pin-supported at end A and carries a load Q at joint B, as shown in the figure. The beam is also supported at C by a pinned-end column of length L; the column 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 aluminum bar (E = 10 × 10 6 psi) of square cross-section having a length L = 30 im and side dimensions b = 1.5 in. Let dimension d = L/2. Based upon the critical load of the column, determine the allowable force Q if the factor of safety with respect to buckling is n = 1.8.

A horizontal beam ABis pin-supported at end A and carries a load Q at
joint B, as shown in the figure. The beam is also supported at C by a
pinned-end column of length L; the column 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 aluminum bar (E = 10 x 106 psi) of
square cross section having a length L= 30 im and side dimensions b =
1.5 in. Let dimension d= L/2. Based upon the critical load of the column,
determine the allowable force Qif the factor of safety with respect to
buckling is n= 1.8.
B
d
2d
0.6 L
PROBLEM 11.3-11
Transcribed Image Text:A horizontal beam ABis pin-supported at end A and carries a load Q at joint B, as shown in the figure. The beam is also supported at C by a pinned-end column of length L; the column 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 aluminum bar (E = 10 x 106 psi) of square cross section having a length L= 30 im and side dimensions b = 1.5 in. Let dimension d= L/2. Based upon the critical load of the column, determine the allowable force Qif the factor of safety with respect to buckling is n= 1.8. B d 2d 0.6 L PROBLEM 11.3-11
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