Two axial members are used to support a load P applied at joint B.

Member (1) has a cross-sectional area of A1=3,080 mm2 and an allowable normal stress of 180 MPa.

Member (2) has a cross-sectional area of A2=4,650 mm2 and an allowable normal stress of 75 MPa.

Determine the maximum load P that may be supported by the structure without exceeding either allowable normal stress.

The figure shows a diagonal member labeled 1 and a horizontal member labeled fixed to a column on the right at the points A on top and C below. The diagonal member runs between points A and B and the horizontal member runs between the points B and C. Joint B is at a distance of 4.3 meters to the left of A and 5 meters below A. Joint C is at a distance of 7 meters directly below A. The load at joint B is labeled P and it is directed downwards.