Question

A round billet of brass is to be extruded (Extrusion constant = 250 MPa) at ${800}^{o}C$. The billet diameter is 100 mm and the extruded component diameter is 50 mm. Then the extrusion force required is

• A. 2.5 MN
• B. 6.1 MN
• C. 10.7 MN
• D. 2.7 MN

Answer 1

The correct option is D 2.7 MN

$\sigma =kln{\left(\frac{d_0}{d_1}\right)}^2=2kln\left(\frac{d_0}{d_1}\right)$

$=2\times 250\times ln\left(\frac{100}{50}\right)=346.573$

$F=\sigma \times \frac{\pi }{4}\times d_0^2=346.573\times \frac{\pi }{4}\times {100}^2$

$F=2.722MN$