$(10$ points$)$ A $5\frac{3}{4}$ bar is used as a tension member and connected to a gusset plate with

six $1$ in$.$ diameter bolts, as shown in below.

a$.$ Compute the gross area $A_8.$

b$.$ Compute the net area $A_a.$

c$.$ Which limit state is gross area used in for design of a

tension member? What is the resistance factor for that

limit state using LRDF$?$

d$.$ Which limit state is the net area used in for design of a

tension member? What is the resistance factor for that

limit state using LRDF$?$