2. A rectangular prism with dimension of height, ho, length, 2Lo, width, Zo is forged to a finaldimension of height, h, length, 2L, width, Zo, by open die forging under plane-strain condition. Ifthe coefficient of friction between the die and workpiece is µ (assume sliding friction in the dieworkpiece interface) and the yield strength of the material is Y, please prove(1) The die pressure at the end of stroke is:P=2√32μYeh-(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 forgedby 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 theaverage pressure and force required at the end of the stroke.

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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 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.

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.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Forming and Shaping

Metal forming is a category of metalworking process through which the material can be given the desired shape and size by subjecting it to plastic deformation, where the component undergoes bulk deformation process upon application of loads. Unlike the shearing and machining process, the material does not undergo up to a failure point as indicated in the stress-strain curve. Hence, the stresses induced during the forming process are greater than yield strength but less than the failure strength of the material. The process does not lead to the loss of material, so it can be said to be an economical process. During forming, the material is subjected to tensile forces, compressive forces, bending, and shearing loading conditions. The material should possess the property of ductility to undergo the forming process.

Question

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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