Test 1

# Test 1 - ESM(MSE 3054 Test No I October 1 2007 Aids...

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Unformatted text preview: ESM (MSE) 3054 Test No. I October 1, 2007 Aids Allowed‘ Items Needed Name Signature (I have neither given nor received unauthorized assistance on this test.) Open book (textbook for this course). One page, front and back, of formulas, deﬁnitions, diagrams, etc. Bring paper, full 8.5 X 11 inch size, calculator, and straightedge. Instructions {Points may be deducted for failure to follow instructions.) - Work on one side ofpaper only. Paper must be full 8.5 X ll inch size. - When you hand in your work, staple together the question page followed by your work in order by problem number. Keep your formula page. - Clariﬁcations or additional information may be written on the blackboard -- check it before handing in your paper. - Logic and calculations leading to all answers must be given, and any points or lines used from graphs must be marked and labeled. - For discussion or explanation type questions, answers need to be in complete sentences and in reasonably good English, and the logic must be clear. - Numerical answers should have neither insufﬁcient nor excessive numbers of signiﬁcant ﬁgures, and correct units are required for full credit. 1. A composite material is to be made from unidirectional glass ﬁbers (Type E) embedded in a matrix of ABS plastic, with all ﬁbers to be aligned in the same direction. For the composite, the elastic modulus parallel to the reinforcement must be at least 48 GPa, and the elastic modulus perpendicular to the reinforcement must be at least 5.0 GPa. (a) What is the minimum volume fraction of fibers that will satisfy both requirements? (b) What value of shear modulus results from the volume fraction chosen from (a)? 2. A block of a titanium alloy is conﬁned by a rigid die as shown, so that it cannot deform in either the x- or y—directions. A compressive stress is applied in the z—direction‘. Assume that there is no friction along the walls and that no yielding occurs in the metal. What is the largest value of the compressive stress oz that can be applied without the strain in the z—direction exceeding 0.1% = 0.001 in compression? / X 3. A thin-walled tube with closed ends has an inside radius r1 : 80 mm and a wall thickness 2‘ = 6 mm. It is subjected to an internal pressure of 20 MPa, a torque of 60 kN-m, and an axial compressive load of 200 kN. Determine (a) the maximum normal stress and (b) the maximum shear stress. v d&:\h.momsuwo \wm.ﬁl\ . 3 mb m 23.13: 3936 N \Nllx mm [um I ~§NIAuL b1 wu A: 1 Imuwog m1 H. abwkzl NbeMﬂ H WW. \ni \hi mb& n No x GA “>10 moR I \BxNIEuO m Ix mm?“ ava » xbglﬂ. u S Q: m L 0' AL+wc¥§xw \5. Ab“ Vmo w 3.0 E Gmdnﬁ at: aqodmx um. N.m EQGR: ‘§3.~EG+K mb 400.0 “mm— Om MID m\q_\wmmkn\v§uu mmmmwtg Mx mk£§ .wovotumuso Ixxuxxﬁ In“ 3.x Nam him: \E hwEiSou x33 §:.EU+.£ mo 33% .N V €§+§mg in us: 9.3.0 pt: _ s66 “36 :e N a: «06 Sad u h ANN n 6 +2me «n6 Q‘mm “A Q. “6 v A &.N JvND lxm dim m.v_ HAW Chum‘QI: + ..bw.Q l JI v «am \$1M 3» V reinvixkumxﬁ. mg AIWw_Q HL> v mmmd HL> % awwiimfmﬂ EMJUM KM _C\T: A i. is :1, v Egonﬁ cum .v_m1\T:+ jam: 13 .s. ®+ L\#I_H§\ﬂa gm§>+LmL>HKm 3% «\$th Mmd u s§ “cam +Nn§m .NN.Q “LN €QU+ND an. m. “.3 AS am”:an GEN Km ,uinqi mm? . 5.. EwQT... mmcrmlm HGECMLEExSS H «as. HEN u may ~63 n 2o Illilrillllllllillll mémw GEN m._.m 0.8. «.8. Nm 5. 02m:— Némm 9ch w. I» 0.0 N.mw. Nd; 03830 my N... .9 no no 6 5:89.. 8%: NEN o._.mm odN. HEN Yam mums c.wm v N. EN 0. 3w 0.0 hdww Tam mEmSO n6 5. 5. No .6 .6 5:83 mm: :_ wmwwobm. _ ... ESGVNGEFN . f: 3mm : gukﬁ 35: mm: QNI uwb a ﬂmﬁGhES Q Hmb 6&2 Sec? ZQQQQQN £2 Eme n “LES 1» ﬂ§§qi§z§ 1 b w HmEQFNUxﬁP + SEN “i F TH Sig km Him? u in II! 32% mm “Nam Miranxlm; .Q 2&QQN Hn\ €8.2t owing. Santa QNHQ 0 (SE. wk.“ \Qm Ht \UQS+ hwxxxubq<vn§th .m ...
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