(Solved): The beam is subjected to a shear of \( V=800 \mathrm{~N} \). Determine the average shear stress de ...

The beam is subjected to a shear of \( V=800 \mathrm{~N} \). Determine the average shear stress developed in the nails along the sides \( A \) and \( B \) if the nails are spaced \( s=100 \mathrm{~mm} \) apart. Each nail has a diameter of \( 2 \mathrm{~mm} \). \[ \begin{array}{l} \qquad \begin{aligned} \bar{y} & =\frac{0.015(0.03)(0.25)+2(0.075)(0.15)(0.03)}{0.03(0.25)+2(0.15)(0.03)}=0.04773 \mathrm{~m} \\ I & =\frac{1}{12}(0.25)\left(0.03^{3}\right)+(0.25)(0.03)(0.04773-0.015)^{2} \\ & +(2)\left(\frac{1}{12}\right)(0.03)\left(0.15^{3}\right)+2(0.03)(0.15)(0.075-0.04773)^{2} \\ & =32.164773\left(10^{-6}\right) \mathrm{m}^{4} \end{aligned} \end{array} \]