$21\mathrm{.}3$ The insert with four $\frac{1}{2}-$in$.$ diameter headed studs shown in Fig. P$21\mathrm{.}3$ is embedded $4$ in$.$

into an uncracked concrete panel with the center of the insert $6$ in$.$ from any edges. $f_c=5000$

and stud yield strength $f_{\text{u}\text{t}\text{a}}=65$ksi. Determine the shear design load for the insert.

Given:

$f_c^{\text{'}}$:$=5000,f_y$:$=51$ksi,$d_a$:$=0\mathrm{.}50in,A_{sa}$:$=0\mathrm{.}20i{n}^2$

$f_{\text{u}\text{t}\text{a}}$:$=65$ksi,$n$:$=4$

${}_{cN}$:$=1\mathrm{.}2,$:$=0\mathrm{.}75,{}_a$:$=1\mathrm{.}0$

Steel Strength

$V_{as}$:$=n**A_{sa}*0\mathrm{.}6f_{\text{n}\text{t}\text{e}}=23\mathrm{.}4$kip

Please use the equations in ASCI $318-2019$