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 may 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 = 10.4 * 10^6 psi.

D B A 800 P 000 200 Lcd Lbc Lab