The machine component shown below is subjected to a load of $P=1kN$ oriented at an angle of $=42.$

The cross$-$sectional dimensions of the component are $b=16mm$ and $t=6mm.$ Using $x_A=40mm,y_A=80mm,$ and $a=4mm,$ determine the principal stresses and the maximum shear stress acting at point $H.$

$($Note: Include the proper sign with your answers below.$)$

${}_x=$

${}_y=$

$i$

MPa

${}_{xy}=MPa$

MPa

${}_{p1}=$

$$ MPa

${}_{p2}=$ MPa

${}_{\text{m}\text{a}\text{x}}=$ MPa