Question

A round billet made of brass is to be extruded (extrusion constant = 250 MPa) at ${700}^{\circ }C$. The billet diameter is 100 mm and the diameter of the extrusion is 50 mm. The extrusion force required (in MN) is

• A. 1.932
• B. 2.722
• C. 3.423
• D. 4.650

Answer 1

The correct option is B 2.722

Extrusion Force
$F=K\times A\times ln\left(\frac{A_i}{A_f}\right)$
$=250\times \frac{\pi }{4}\times (0.100{)}^2\times ln\left(\frac{\frac{\pi }{4}\times (0.1{)}^2}{\frac{\pi }{4}\times (0.05{)}^2}\right)$
$=2.722MN$