GATE 2024 MT – Question 35
The force to extrude an aluminium rod from cross-sectional area 150 mm$^2$ to 50 mm$^2$ is ______ N (nearest integer). The extrusion constant, accounting for flow stress, strain hardening, friction, and inhomogeneous deformation, is 2 MPa.
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Correct answer: 328 to 331
Explanation
Using the specified extrusion constant K, the extrusion pressure is K ln(A0/Af).
Force is A0K ln(A0/Af)=150×2×ln3 N because MPa=N/mm².
This gives 329.584 N, or **330 N**.