Example $9$:

The beam must support an internal shear force

of $V=750lb.$

$((\frac{?}{\text{b}\text{a}\text{r}}(y))=4\mathrm{.}6in.$ and $I_{\frac{?}{\text{b}\text{a}\text{r}}(y)}=230\mathrm{.}93in.{?}^4)$

a$)$ Determine the maximum horizontal shear

stress in the cross section for $V=750lb.$

b$)$ If each nail can provide $100lb$ of horizontal

resistance, determine the maximum allowable

spacing $s$ for the nails.

c$)$ If the three boards were connected by glue

instead of nails, what minimum shear

strength would be necessary for the glued

joints?