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11hw3-28jan-SOLN

# 11hw3-28jan-SOLN - EML4321HW#3Due28Jan2011...

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EML 4321 HW #3 ‐‐‐ Due 28 Jan 2011 1. Let’s say that we have some grade 30 US Steel 1008 cold rolled structural sheet. (see http://www.ussteel.com/corp/sheet/cr/cold rolled sheet.asp ) The sheet is four feet wide and we want to reduce the thickness from 16 gage to 18 gage in one pass between six inch diameter rolls turning at 2000 rpm. (see http://www.engineersedge.com/gauge.htm ) a. What is the peripheral velocity of the rolls in SFM (Surface feet per minute)? (6 ) 1 ( ) (2000 ) 3141.6 12 in ft v Dn rpm SFM rev in π π = = = 3140SFM (ANS.) b. What is the separating force on the rolls in tons ? 2 1 3 30 ; 0.0598(16 ) 0.0478(18 ) 0.012 12 1.2 1.2 (30 10 ) 4 ( ) 3 0.012 327864.9 1 327864.9 163.93 2000 Yield strength ksi h h gage gage in in F Yw R psi ft in in lb ft lb tons lb ton = Δ = = = = Δ = = = 164 tons(ANS.) c. What is the torque required to turn a single roll in pounds feet ? 1 327864.9 3 0.012 ( ) 12 2591.9 2 2 2 ft lb in in FL F R in T l Δ = = = = 2592 lbft (ANS.) b ft d. What is the total power required to drive both rolls in horsepower ?

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11hw3-28jan-SOLN - EML4321HW#3Due28Jan2011...

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