A two-bar symmetric pin-connected truss shown below is subject to a nominally vertical loa...

A two-bar symmetric pin-connected truss shown below is subject to a nominally vertical load of 1000 lb acting at point A. Misalignment of the load occurs randomly about the vertical axis of symmetry according to a normal distribution with a mean of  and a standard deviation of sθ = 10°. Select the cross-sectional area of the steel legs (y = 30,000 psi) so that the probability of failure of the truss is 0.001. All parameters except for the orientation of the load are deterministic.