A direct extrusion operation thecross section shown in Figure isproduced from a copper billetwhose diameter 225mm andlength = 500 mm. In the flow curvefor copper, the strength coefficient= 400 MPa and strain hardeningexponent = 0.30. In the Johnsonstrain equation, a = 0.8 and b = 1.5.Determine: 1. The extrusion ratio, 2.The shape factor, 3. The forcerequired to drive the ram forwardduring extrusion at the point in theprocess when the billet lengthremaining in the container = 325 mm,4.The length of the extrudedsection at the end of the operationif the volume of the butt left in thecontainer is 225,000 mm3. *100

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Answered: A direct extrusion operation the cross…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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The team is extruding a billet that is 80 mm long with diameter of 40 mm is directly to a diameter of 20 mm. The extrusion die has a die angle of 75°, see Figure 1. For the work metal, K = 600 MPa and n = 0.25. In the Johnson extrusion strain equation, a = 0.8 and b = 1.4. Remaining billet length 75 Ram pressure, p Do Figure 1: Extrusion process. Determine the following design parameters: (a) Extrusion strain (b) Ram pressure at L = 80, 40, and 10 mm. (c) Draw the relationship between the ram pressure and billet length and discuss the results. What are your recommendations to decrease the required ram pressure?
A billet 75mmlong and 25mmin diameter is to be extruded in a direct extrusion operation with extrusion ratio rx = 4.0. The extrudate has a round cross section. The die angle (half angle) = 90° The work metal has a strength coefficient = 415 MPa, and strainhardening exponent = 0.18. Use the Johnson formula with a = 0.8 and b = 1.5 to estimate extrusion strain. Determine the pressure applied to the end of the billet as the ram moves forward
A 3in long and 1in diameter billet is extruded in a direct extrusion operation with an rx = 4.0. The extrusion has a cross section. The angle of the die (half angle) is 90o. The work metal has a resistance coefficient of 60ksi and a strain hardening exponent of 0.18. Use Johnston's formula with a = 0.8 and b = 1.5 to estimate the extrusion stress. Determine the pressure applied to the end of the billet when the piston moves forward.
2. The flow curve parameters for a certain stainless steel are strength coefficient = 1100 MPa and strain-hardening exponent = 0.35. A cylindrical specimen of starting cross-sectional area = 1000 mm? and height = 75 mm is compressed to a height of 58 mm. Determine the force required to achieve this compression, assuming that the cross section increases uniformly.
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The team performs a cold heading operation to produce the head on a steel nail. The strength coefficient for this steel is K = 550 MPa, and the strain hardening exponent n = 0.24. Coefficient of friction at the die- work interface = 0.10. The wire stock out of which the nail is made is 4.75 mm in diameter. The head is to have a diameter = 9.5 mm and a thickness = 1.5 mm. (a) What length of stock must project out of the die in order to provide sufficient volume of material for this upsetting operation? (b) Compute the maximum force that the punch must apply to form the head in this open-die operation. Discuss the result?
Q4: In Flat Strip Open Forging (FSOF) Process. A strip ingot of length (90.5mm), width (4.75cm), and initial thickness (1.75cm), is open forging to thickness (15mm). The mean flow stress o y 280+110, and friction factor (0.065), Determine the maximum plate pressure and the press capacity at. (1) forging anset. (II) forging end. 96.5mm
Q4) A metal plate with 10 in wide and 1.5 in thick. Its material has a strength coefficient 20,000 lb/in? and a strain hardening exponent can be considered zero (in hot rolling conditions). Rolls with radius 12 in, the mill can apply a maximum force 400,000 lb and a maximum horsepower around hundreds hp in order to reduce the thickness of plate by the maximum possible draft per one pass (dmax). Calculate (a) dmax , (b) associated true strain, and (c) maximum number of turns of the rolls for the operation.
Wire is drawn through a draw die with entrance angle a= 17°. Starting diameter is 3.0 mm and final diameter = 2.4 mm. The coefficient of friction at the work-die interface = 0.08. The metal has a strength coefficient K = 205 MPa and a strain-hardening exponent n = draw force in this operation. Why are multiple passes usually required to achieve the desired reduction? (Hint: Observe the draw stress value found in this question) 0.20. Determine the draw stress and Lubricant box Initial wire stock (in coil form) Multiple pass/draft drawing Draw die V2, F V3, F shown in figure. Capstan drum (holds multiple loops of wire) (1) (2) (3)
Q1/ A two-high rolling mill is used to reduce plate that is 450 mm wide and 45 mm thick in a single pass to a thickness of 30 mm. The roll has a radius = 500 mm, and its speed = 25 m/min. The work material has a strength coefficient = 300 MPa and a strain hardening exponent = 0.15. Determine: Roll force 8,519,975.11 N 8,619,975.11 N none of the mentioned 8,419,975.11 N
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A billet 100 mm long and 30 mm in diameter is to be extruded in a direct extrusion operation with extrusion ratio r, = 3.5. The extrudate has a round cross section. The die angle (half angle) = 60°. The work metal has a strength coefficient = 720 MPa, and strain hardening exponent = 0.17. Use the Johnson formula with a = 0.8 andb= 1.2 to estimate extrusion strain. Determine the following: 1. Diameter of the extrudate = mm 2. Butt volume = mm3 3. Actual extrudate length = mm 4. The pressure applied to perform the extrusion process = MPa 5. Ram force = N.

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