$3.)$ A $16$ foot column is fixed at the base and is subjected to the following vertical and horizontal loads:

Vertical

Dead Load: $4000$ lb

Live Load: $2000$ lb

Roof Live: $2300$ lb

Snow Load: $2400$ lb

Rain Load: $1000$ lb

Wind Load: $3800$ lb

Horizontal

Wind Load: $3000$ lb

Find the following:

a$)$ The factored design LRFD moments and controlling load combinations

b$)$ The factored design LRFD shear and controlling load combination

c$)$ The factored design LRFD axial forces and controlling load combinations

d$)$ The reduction factors from ACl $318$ for Bending, Shear, and Axial loads for this configuration