A bracket is attached to a vertical column

by means of two identical rivets $U$ and $V$

separated by a distance of $2a=100mm,$

as shown in the figure. The permissible

shear stress of the rivet material is

$50$MPa. If a load $P=10kN$ is applied at

an eccentricity $e=3\sqrt[\phantom{2}]{7}a,$ the minimum

crosssectional area of each of the rivets

to avoid failure is

$m{m}^2$