As shown below, a C$-$shaped structural section is directly extruded from a cylindrical aluminumalloy billet whose length $=600$ mm and diameter $=80$ mm$.$ The strength coefficient and strainhardening exponent of the aluminum alloy are $240$ MPa and $0\mathrm{.}15,$ respectively. The die angle $=90,$and the Johnson strain equation has constants a $=0\mathrm{.}8$ and b $=1\mathrm{.}5.$ Determine $($a$)$ extrusion ratio, $($b$)$length of the extruded section if the butt remaining in the container at the end of the ram stroke is $30$mm long, and $($c$)$ maximum ram pressure. All dimensions are in mm$.$As shown below, a C$-$shaped structural section is directly extruded from a cylindrical aluminum

alloy billet whose length $=600mm$ and diameter $=80mm.$ The strength coefficient and strain

hardening exponent of the aluminum alloy are $240$MPa and $0\mathrm{.}15,$ respectively. The die angle $=90,$

and the Johnson strain equation has constants $a=0\mathrm{.}8$ and $b=1\mathrm{.}5.$ Determine $($a$)$ extrusion ratio, $($b$)$

length of the extruded section if the butt remaining in the container at the end of the ram stroke is $30$

$mm$ long, and $($c$)$ maximum ram pressure. All dimensions are in $mm.$