Question $(1)(30\%)$

Figure $1$ shows a bearing$-$type connection with a tension member of $W1253$ section bolted to $10"\frac{5}{8^{\text{'}\text{'}}}$ gusset plates. The connection is used to transfer an ultimate load $P_q=300$kips. Eight $(8)$ A$490$X bolts of $\frac{3}{4^{\text{'}\text{'}}}$ in diameter are to be placed as shown in the figure. The tension member is made of A$572$ Grade $50$ steel and gusset plates are made of A$36$ steel.

a$)$ Calculate the connection design strength based ONLY on the bearing at the bolt holes.

$,)$ Is the bearing strength of the connection sufficient to carry the load $P_w.$

PL$.{10}^{\text{'}}\frac{5}{8^{-}}$

$53$

PL$.10\frac{5}{8^{\text{'}\text{'}}}$