Given a cylindrical tower with ${100}^{\text{'}}$ diameter and $1,{000}^{\text{'}}$ height, as shown. The tower structure

is supported by $4$ mega columns. The design wind pressure is a uniform $40$ psf $.$ The total dead weight of the tower is $60,000,000lbs.$ Investigate the effect of the wind load acting in the two directions $(0$ deg and $45$ deg orientation$),$ as shown and determine if the tower will develop uplift in the columns. You must use the princple of superposition and take advantage of the symmetry of the problem to simplify solution