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 aluminium bar (E = 10 ( 106 psi) of square cross section having length L = 30 in. 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.

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2d 0.6 L