Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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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.arrow_forwardA 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 forwardarrow_forward◆ A billet 75 mm long and 25 mm in 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 strain-hardening 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.arrow_forward
- A billet 75mm long and 25mm in diameter is to be extruded in a direct extrusion operation with extrusion ratio re= 4.0 .The extrudate has a round cross section, the die angle (half angle )is 90 degree .The work metal has a strength coefficient of 415 Mpa, and strain hardening exponent of 0.18. Use the Johnson formular with a= 0.8 and b=1.5 to estimate extrusion strain. Find the Pressuer applied to the end of the billet as the ram moves forward.arrow_forwardExample8.2: An L-shaped structural section is direct extruded from an aluminum billet in which Lo = 500 mm and Do = 100 mm. Dimensions of the cross section are given in Figure below, Die angle 90°. Determine (a) extrusion ratio, (b) shape factor, and(c) length of the extruded section if the butt remaining in the container at the end of the ram stroke is 25 mm. L. 62arrow_forwardCalculate (1) die pressure distribution and (2) forging force for plane strain forging (open die forging). Assume yield strength of the material is Y, and yielding criterion is von Mises. ho 2Lo h Forged to 2L xdx L 'x+value Note: Assume Zo Constant Plane strain Die pressure distribution h L L Die pressure distribution h MATERIAL L dx -(-1) Friction Hill Y L When 0; =Y P=Y' = Calculate forging force X L dF elemental volume Average pressurearrow_forward
- only d and earrow_forwardYou have been asked to work on some design problems and technically support the team working on extrusion and forging operations: 1) The team are 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 D. Dr Figure 1: Extrusion process. Determine the following design parameters: (a) Extrusion ratio. (b) True strain (homogeneous deformation). (c) Extrusion strain. (d) Ram pressure at L= 80, 40, and 10 mm. (e) Draw the relationship between the ram pressure and billet length and discuss the results. What are your recommendations to dccrcase the required ram pressure?arrow_forwardPlease Identify the correct answer along with concise reasoning( Step-by-step is preferred) on why the selected option is the right answer. Please also explain concisely why the remaining options are incorrect. I'll rate for the response positively if the answer is correct. Thx!arrow_forward
- In a single-barrel extrusion system, the operator observes that the extrudate (made of polyethylene, PE) is being processed at a speed of 0.5m/s with a final diameter of 0.5cm. The screw pitch is 1cm, the barrel diameter is 1.5cm, the barrel length is 10cm, the screw channel depth is 0.3cm and the screw is rotating at 10RPM. a. Find the head pressure on the die given that the polymer has a viscosity of 300Pa.s. Note that the swell ratio of PE is 1.2. b. Find the length of the die opening.arrow_forwardanswer the questionsarrow_forwardA 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.arrow_forward
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