Homework $1$: Due Thu., Sep. $12,2024$

$1.$ 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 $60,000,000$ lbs$.$ 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. $($Hint: Use the principle of superposition and take advantage of the symmetry of the problem to simplify solution.$)$