$4\mathrm{.}5$ An angle L $55\frac{1}{2}$ section is used as a shelf angle to support a $4-$inch brick veneer wall of $7\mathrm{.}5$ feet in

height. The anchors are at every $4$ feet spacing attaching the shelf angle to a grouted CMU masonry wall

of adequate design to accommodate the anchors. The anchor edge distance is $10$ inches. The cavity

between the CMU wall and the brick veneer is $2$ inches. The anchor used has the following properties:

Cast in$-$place headed A$307$ type with a diameter equal to $\frac{5}{8}$ inches. The embedment length is $4\mathrm{.}5$

inches. Note: the yield resistance of the anchor steel is $36,000$ psi.

The masonry compressive strength $f_m^{\text{'}}=1,500.$ Use ASD method in this problem.

$($a$)$ Compute the axial load and shear in the anchor $($neglecting the self$-$weight of the angle and

using the lever arm as $3-\frac{t}{2}$ inches$).$

$($b$)$ Compute the ASD resistances for tension and shear for the anchor.

$($c$)$ Using the interaction equation for tension and shear, decide whether the anchor is ok$.$