$(20$ points$)$ A building is $1,000$ feet tall and

has a rectangular plan of $80$ feet by $180$ feet

as indicated in the figure to the right. The

total gravitational $($vertical$)$ load is $80,000$

kips. The horizontal $($wind$)$ loads acting on it

are displayed in the figure. The building is

supported by six identical columns located

along the perimeter of the building's

rectangular plan as shown in the figure.

a$.$ Compute the overall reactions at the

base of the building due to gravitational

and wind loads.

b$.$ Compute the axial forces taken by each

column at the base due to: gravitational

$($vertical$)$ loads, wind $($horizontal$)$ loads,

and both gravitational and wind loads.

Indicate whether these axial forces are

tension or compression.