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11hw6-25feb-Soln (1)

# 11hw6-25feb-Soln (1) - EML4321HW#6Due25February,2011...

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EML 4321 – HW #6 – Due 25 February, 2011 1. A rectangular piece of metal has a 2” x 2” cross section and is 8 feet long. It is made of a material which has a linear strain hardening behavior where Y 0 = 20 ksi and k = 5 ksi. It is to be forged to a 1” x 4” cross section. a. What are the peak pressure, average pressure, and forging force at the start of the forging process if I. the coefficient of friction is 0.1 μ=0.1, h=2”, L=2”, w=96” 0.1 2 3 2 max 0.1 2 3 2 1.15 1.15 20 10 2 1.15 1 1.15 20 10 1 0.1 2 24.2 2 96 L in h in L in h ave av p Ye psi e h in p Y e psi e L in F p Lw ksi μ μ μ = = = = = = = = = 25.4ksi 24.2ksi 4644kips = 2322tons II. the coefficient of friction is 0.3 μ=0.3, h=2”, L=2”, w=96” 0.3 2 3 2 max 0.3 2 3 2 1.15 1.15 20 10 2 1.15 1 1.15 20 10 1 0.3 2 26.8 2 96 in L in h in L in h ave av p Ye psi e h in p Y e psi e L in F p Lw ksi μ μ μ = = = = = = = = = 31ksi 26.8ksi 5150kips = 2575tons III. there is sticking friction h=2”,L=2”,w=92” 3 max 3 0.5 0.5 2 1.15 1 1.15 20 10 1 2 0.25 0.25 2 1.15 1 1.15 20 10 1 1 28.8 2 96 ave av L i p Y psi h in L i p Y ksi h in F p Lw ksi = + = + = = + = + = = = = 34.5ksi 28.8ksi 5530kips = 2765tons n n b. What are the peak pressure, average pressure, and forging force at the end of the forging process if I. the coefficient of friction is 0.1 μ=0.1, h=1”,L=4”,w=96” 0.1 4 3 1 max 0.1 4 3 1 1.15 1.15 20 10 1 1.15

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11hw6-25feb-Soln (1) - EML4321HW#6Due25February,2011...

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