Spring2010_Quiz6_solutions

# Spring2010_Quiz6_solutions - Quiz 6 ChE 350 Spring 2010...

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Unformatted text preview: Quiz 6; ChE 350 Spring 2010 / . Name: Kt; E _.____ 1. Mechanical property data are shown below for human bone that is either dry or wet (top, Figure 6) and a new steel foam (bottom, labeled Fig. 2) that is engineered as an artiﬁcial bone replacement. [Units of ,ustrain =10"6 >< strain; Show your workl] (a) Which is more brittle, wet or dry bone? &f% bOﬂQ (b) Which is tougher, wet or dry bone? \4 20:? loom F (c) What is the elastic modulus of the steel foam? L0 (900 M {a o f l9 6€0x (d) What are the %EL and tensile strength of wet bone? l o 2,7Q ; ‘A’ QC M ‘0“ (%EL) (TS) (e) The density of bone is on average 1500 kg/ms. The density of stainless steel is 7700 kg/m3. Calculate the porosity that the metal foam (%air/volurne) must have in order to have an equivalent strength-to-weight ratio as bone. (Use the strengths of wet bone and the metal foam at fracture for your calculation) ‘ , /\1 7 (a 02— ;. 0 Stress (MPa) 10000 noon 9 30m 4000 am \$000 Strain (pstrain) (—2 O D Fig. 6. Stress-strain curves for a dry and wet bone specimen (adapted -E : ~' I from Evans and bebow. 195nm]: area under the stress—strain curve _/ [00300 M Pf” 5 ‘K (0 é) PJ\ (toughness) is greatly reduced when the specimen is dried. _ 0 { _ O 9 a» l’i‘llljﬁl. is, Ratify! ,: erftz; mi: Sound.) and Engmwrwg A 3.27 5 21,11 0} 2 i’ﬁ‘xh i799 (o ”0 "13900an ; oOlZXlOOZ QZDEL C 102/76 Stress (Mp2) ol 0 _, ’5 W] 1500 Kﬂ QQQMVI Mei? x \$53 tag/m3 60% ,_ to )< ; _, 23¢ <3 ‘7 inset showingiiie chasm region). 7 706 1% }l."\3 0 MAX/"Pal ‘ 160 -233 : 7Lm270 All” \\ Whit; (MG: "13‘“? 4n“ 6" Km L‘t‘lmlll mt»; {:ng pnwdw mmmm wﬂnqui-r ﬁg: Stress-5min response. .45! (41's: .ﬁi»SS foam lander tonwmsim lead W}!!! amuaﬂingiium‘ _ h—d VOll/LW ...
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