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bioe102-fall2008-mt1-Li-soln

# bioe102-fall2008-mt1-Li-soln - NAME:CiSI Sotutiov.rs CAL ID...

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NAME: CiSI Sotutiov.rs CAL ID: BioEl02 Midterm Opencourse text, open notes, no internet or communication devices 6.8 PM L Consider a biomedical device which is long, cylindrical, pressurized, and capped at both ends by a hemisphere. When depressurized, the radius a is 3 cm and the thickness of the wall is 1 mm. When pressurized at 340 mmHg, the radius ais 4.2 cm and the thickness of the wall is 0.7 mm. a. (----- of 5 points) Calculate oee (in Pa) in the pressurized cylinder wall. Ressufircd ctltr'vdor: a= {.zcqr = O.OlLrvt h'ffitrtwr' O, OOO1 vn hlrr, ffi .,lro So, we cah rae a thin 1to{ opfltor. t LJ.qt,.l Crrf( &v to\\rj ct{trvrdev: heK, p= 3rrcv*nrug . toofdDG = t{t{.l|.ftr. 1b0vrm,rH3 ;) (e = Oq.r r-Pa) ( q. ortz'*l = zbgz bp^ O' OCOI6a 9a h (so . 'f .bB M?c^ Page 1 of 13

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NAME: 7 (to cov{f,Ont tn *1."m-r*nlr ctpqtOf \---J---- n€stui€ Crrtirq over t\'ts i""[o*d *{ oC tlno- v\ontuf'hsa or th! t-{ttu-. Assurvro {htn watud Ernc-Q- vtla t'lln . CAL ID: b. (---- of l}poinfs) Calculate oz, (in Pa) in the pressurized i:Vfinftr wall,'anJ b'rienyiustity youi choice of the equation used to calculate it. .", I ', Ito',hY-"1J * {; (zau ry\ = P&e t^0 Q,t" X ; (.\${.1 \tPax0,Ottznl Fr---- (*u *-fifi U L(t' O tc., aa - f r,dA,o Z [o.orol rw) 0-a' / rUoW t1.qf this wou\d lrc 1\t0 tqwrL f"" a {lof *f StY\q- th- rvsiq4f \ \ ovar ttrg honrrsphore dtt\s Ptct['uve lv\tte z'ctrwctun tsft^[ sc'v\^0-l 1.3,1 Mw\ Page 2 of 13
NAME: CAL ID: 2. Consider the device from#1 . lf you were going to model this device in ADINA: a. (_____ of 5 points) What symmetry assumption can you make to simplify the geometry? Sketch your model in the simplest formthat will produce an answer identical to a simulation of the device as shown. Solulion Problem 2: A) Refer lo figure 1 * Simplest model ) 2D * Symmetry ) 4 identicol pieces (1/4 of the cross sectionol structure) * Right Sketch ) of I /4 of Ihe cross sectionol view of the hollow structure I Figure 1 . 1 /4 of the cross sectionolview of the hollow b. (_____ of 5 points) Whywould you want to limit the number of elements in your model?

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