2. A rectangular prism with dimension of height, ho, length, 2Lo, width, Zo is forged to a final dimension of height, h, length, 2L, width, Zo, by open die forging under plane-strain condition. If the coefficient of friction between the die and workpiece is μ (assume sliding friction in the die workpiece interface) and the yield strength of the material is Y, please prove (1) The die pressure at the end of stroke is: P= 2 2μ (L-x) Yeh where x is the distance from center of the workpiece. (2) If a rectangular specimen made of annealed Steel (σ = 25,000 0.25 psi) needs to be forged by the process above from 2L0 = 6 inch, ho= 4 inch, Zo =1 inch with flat dies to a height of h = 2 inch at room temperature. Assuming that the coefficient of friction is 0.2, calculate the average pressure and force required at the end of the stroke.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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2. A rectangular prism with dimension of height, ho, length, 2Lo, width, Zo is forged to a final
dimension of height, h, length, 2L, width, Zo, by open die forging under plane-strain condition. If
the coefficient of friction between the die and workpiece is µ (assume sliding friction in the die
workpiece interface) and the yield strength of the material is Y, please prove
(1) The die pressure at the end of stroke is:
P=
2
√3
2μ
Yeh
-(L-x)
where x is the distance from center of the workpiece.
(2) If a rectangular specimen made of annealed Steel (σ = 25,000ε 0.25 psi) needs to be forged
by the process above from 2L0 = 6 inch, ho = 4 inch, Zo =1 inch with flat dies to a height of h =
2 inch at room temperature. Assuming that the coefficient of friction is 0.2, calculate the
average pressure and force required at the end of the stroke.
Transcribed Image Text:2. A rectangular prism with dimension of height, ho, length, 2Lo, width, Zo is forged to a final dimension of height, h, length, 2L, width, Zo, by open die forging under plane-strain condition. If the coefficient of friction between the die and workpiece is µ (assume sliding friction in the die workpiece interface) and the yield strength of the material is Y, please prove (1) The die pressure at the end of stroke is: P= 2 √3 2μ Yeh -(L-x) where x is the distance from center of the workpiece. (2) If a rectangular specimen made of annealed Steel (σ = 25,000ε 0.25 psi) needs to be forged by the process above from 2L0 = 6 inch, ho = 4 inch, Zo =1 inch with flat dies to a height of h = 2 inch at room temperature. Assuming that the coefficient of friction is 0.2, calculate the average pressure and force required at the end of the stroke.
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