EBK MANUFACTURING PROCESSES FOR ENGINEE
6th Edition
ISBN: 9780134425115
Author: Schmid
Publisher: YUZU
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Chapter 6, Problem 6.44Q
To determine
The phenomenon that the ideal extrusion pressure can be lower than the yield stress or not.
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During a direct extrusion process for a billet with 5 in long and diameter
2.5 in to 1.6 in. For the work metal, strength coefficient is 75000 Ib/in,
and strain hardening exponent is 0.4, also the die angle of extrusion is
90. In Johnson extrusion strain equation a = 0.8, and b= 1.5. Determine:
(a) extrusion ratio (b) true strain (c) extrusion strain, and (d) ram pressure
at length 5, 4.2, 2.3,1.5,and 0 in.
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.
A cylindrical billet that is 100 mm long and 50 mm in diameter is reduced by indirect (backward) extrusion to a 20 mm diameter. The die angle is 90°. In the Johnson equation, a = 0.8 and b = 1.4. In the flow curve for the work metal, the strength coefficient = 800 MPa and strain hardening exponent = 0.13. Determine (a) extrusion ratio, (b) true strain (homogeneous deformation), (c) extrusion strain, (d) ram pressure, and (e) ram force
Chapter 6 Solutions
EBK MANUFACTURING PROCESSES FOR ENGINEE
Ch. 6 - Prob. 6.1QCh. 6 - Prob. 6.2QCh. 6 - Prob. 6.3QCh. 6 - Prob. 6.4QCh. 6 - Prob. 6.5QCh. 6 - Prob. 6.6QCh. 6 - Prob. 6.7QCh. 6 - Prob. 6.8QCh. 6 - Prob. 6.9QCh. 6 - Prob. 6.10Q
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A cylindrical billet that is 100 mm long and 50 mm in diameter is reduced by indirect (backward) extrusion to a 20 mm diameter. The die angle is 90°. In the Johnson equation, a = 0.8 and b = 1.4. In the flow curve for the work metal, the strength coefficient = 800 MPa and strain hardening exponent = 0.13. Determine (a) extrusion ratio, (b) true strain (homogeneous deformation), (c) extrusion strain, (d) ram pressure, and (e) ram force Please answer d and e (a) Calculate the extrusion ratio. r=6.25 (b) Calculate the true strain. εtrue=1.8333 (c) Calculate the extrusion strain by using Johnson's equation. εext =3.366arrow_forwardA 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_forwardExample 10.3 A cylindrical billet of 40 mm diameter and 100 mm length is reduced by indirect (backward) extrusion to a 15 mm diameter using Flat dies. If the Johnson equation has a = 0.8 and b = 1.5 and the flow curve for the work metal has K = 750 MPa and n = 0.15, determine : (i) Extrusion rations (ii) True strain (homogencous deformation) (iii) Extrusion strain (iv) Ram forcearrow_forward
- 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 forwardarrow_forwardA billet 100 mm long and 40 mm diameter is to be extruded in a direct extrusion with final diameter of product 32 mm. The semi die angle is 60°. The work metal has a strength coefficient 500 Map, and strain hardening 0.2 use the Johnson formula with a=0.8 and b=1.45 to estimate the extrusion strain. Determine the pressure applied to the end of the billet as the ram moves forward.arrow_forwardShow that the true strain rate in extruding a round billet of radius r, as a function of distance x from the entry of a conical die can be given as: 2Vorštana (ro-xtana) where; Vo: ram velocityarrow_forward
- Show that the true strain rate in extruding a round billet of radius r, as a function of distance x from the entry of a conical die can be given as: 2Voržtana (ro-xtana)3 where; V.: ram velocityarrow_forwardA direct extrusion operation produces a product with a 20 mm x 60 mm cross sectional area from a brass billet whose diameter = 125 mm and length = 350 mm. The flow curve parameters of the brass are K = 700 MPa and n = 0.35. In the Johnson strain equation, a = 0.7 and b = 1.4. Determine (a) the extrusion ratio, (b) the shape factor, (c) the force required to drive the ram forward during extrusion at the point in the process when the billet length remaining in the container = 300 mm, and (d) the length of the extruded section at the end of the operation if the volume of the butt left in the container is 600,000 mm3arrow_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_forward
- An open die forging operation is performed to produce a steel cylinder with a diameter of 9.7mm and a height of 1.7mm. The strength coefficient for this steel is 500MPA, and the strain hardening exponent is 0.25. Coefficient of friction at the die-work interface is 0.12. The initial stock of raw material has a diameter of 5mm. (a) What height/length of stock is needed to provide sufficient volume of material for this forging operation? (b) Compute the maximum force that the punch must apply to form the head in this open- die operation.arrow_forwardShow that the true strain rate in extruding a round billet of radius r, as a function of distance x from the entry of a conical die can be given as: 2V,rtana where; V.: ram velocity = (ro-xtana)arrow_forward1. A cylindrical billet that is 100 mm long and 50 mm in diameter is reduced by direct (forward) extrusion to a 20 mm diameter. The die angle is 90°. the flow curve for the work metal has a strength coefficient of 800 MPa. Determine (a) extrusion ratio, (b) true strain (homogeneous deformation), (c) ram pressure, and (e) ram force.arrow_forward
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