A 1-inch square aluminum strut is held in place by a pin at point A and rollers at points B and C that prevent rotation. The strut has a length of 3 feet between points A and B (LAB=3 ft). To determine the maximum allowable load P on the strut, the largest possible lengths of LBC and LCD must be found considering buckling in the plane shown and using an aluminum modulus of 10.4E6 psi and a safety factor of 3.2.

1. A 1-in.-square aluminum strut is maintained in the
position shown
by a pin support at A and by sets of rollers at B and C
that prevent
rotation of the strut in the plane of the figure. Knowing
that LAB=3 ft,
determine
(a) the largest values of LBC and LCD that can be
used if the allowable load P is to be as large as possible,
(b) the magnitude of the corresponding allowable load.
Consider only
buckling in the plane of the figure and use E=10.4E6 psi.
And a factor of
Safety of 3.2.
Problem 3
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