GATE ME 2022 Set 2 — Question 58
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Manufacturing Processes → Forming → Extrusion & Drawing
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Question
A cylindrical billet of diameter and length is extruded by a direct extrusion process to produce a bar of L-section. The cross sectional dimensions of this L-section bar are shown in the figure. The total extrusion pressure () in MPa for the above process is related to extrusion ratio () aswhere is the mean flow strength of the billet material in MPa, is the portion of the billet length remaining to be extruded in mm, is the initial diameter of the billet in mm, and is the die shape factor.If the mean flow strength of the billet material is and the die shape factor is , then the maximum force required at the start of extrusion is ________ kN (round off to one decimal place).
Correct answer
2426 to 2432
Solution
1.Calculate Initial Area ():
The initial diameter of the billet is .2.Calculate Final Area () of the L-section:
From the provided figure, the L-section can be decomposed into two rectangles:- A vertical rectangle of dimensions .
- A horizontal rectangle of dimensions .
3.Calculate the Extrusion Ratio ():
4.Calculate the Extrusion Pressure () at the start:
At the start of the process, the remaining length is equal to the initial length of the billet, .Given: , , .
5.Calculate the Maximum Force ():
Converting to kN:Rounding to one decimal place, the maximum force is .
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