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Homework_sec_2.5

# Homework_sec_2.5 - 2.5-2 An aluminum pipe has a length of...

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Unformatted text preview: 2.5-2 An aluminum pipe has a length of 60 m at a temperature of 10°C. An adjacent steel pipe at the same temperature is 5 mm longer than the aluminum pipe. At what temperature (degrees Celsius) will the aluminum pipe be 15 mm longer than the steel pipe? (Assume that the coefficients of thermal expansion of aluminum and steel are an = 23 X 1016/°C and a; = 12 X 10‘6/°C, respectively.) ’ ‘ ‘ ' " " ' " ‘: 1 +1., , _ a. I: [.1 f9" Alum‘tnum a , . , . -er:,La *.0<,L_o_A7—,=, 60m 1“ (23x10“°ci'>(§o~3 AT, g}; , , 1-3.£.a.'f__' (0013847 ._ . L9: Lo +0<La AT'= 60.005'm-(tixt56°C")(éo,oa€Q,4T. ‘ : 60.005" +- .00072006 AT“ 71%;; _ L4 :43 #20151.w 60+ AGO/3 9 AT : 00.005" #49007200041" #01; AT: 30.3 °c , ,, 7; -7‘,: = so. 3°C _ : , 7'}: /0‘c T; : 40,3 C l'! H 432%(1)L:.785‘/..L1’ 2.5-7 A circular steel rod AB (diameter a!I = 1.0 in., length—_- L, = 3.0 ft) has a bronze sleeve (outer diameter (12 = A b = 1:; L(/,2§>Z_ (07:1 2 . 79/81“ 1.25 in., length la = 1.0 ft) shrunk onto it so that the two parts are securely bonded (see figure). Calculate the total elongation 6 of the steel bar due to a temperature rise AT = 500°F. (Material properties are as . LCIL 45' A1 YLQ Kent} ﬁt ﬂ 1! _ follows: for steel, E". = 30 X 10“3 psi and ax = 6.5 X 10‘°/°F; forbronze,E,,= 15 x 106psi and ab: 11 x 10‘6/°F.) 5%66/ Not" 2 {. Fiﬁ! ES .(C 5/{91/6. _. _ d1 d2 - _ Ls : Az'éﬂL;_§LLE_ s2_1(_)'l"1_-.-_---_.- .-- _- ' ' - "8-1.5 wi/L- doagak_£r_weglj-_ AM: Amount-_- * “__:2~’l ‘l _ -- -_.§-Ea¢..é..4T;;-(.6.J_x-tEXQHXSQQE-s9?8‘L~---_ PROB.2.5-7 - - -- ---—---—-— — — — - - -- - — —--— - -— .LlL - -. Ear-”LL .' \$3 :— St, ) N07‘€ 0Q, > ozr -_S-o-.- "_féL-n .. ___ ..1;..bVaN.z_-g area/(racks a. C0917r<9§iv¢ Sprij_5_f_r/A_ _ ._-_ U . ?/ .rr-.w.k1_ire_ 4-64. site! amend-es a 45¢»:er Sires-.1 I9-_ __ 3 TA! Nu‘ ﬂame ON a. _ errors-Mc-Frw -‘H319_9sg-4- ML“. - . Lintwd- _r'mlenialg mum” . ﬁguaf anew: P142: .0 . ___ l. .. _ _ .__ _ _- E. .- 'COH" L1, 85': gl, .. - -_._ .i ) '. ' P L. P L. = 41" + : T' - _____ !_‘l deft/(06; 09C? L— i ‘P _a‘)( \4. 1". <11x15‘5(§0¢3) “ "" P o I '='(‘"5"'° 5"” (am/mama) (W) - -- ”19:15 04/0. 1L - ' -AQ——m___———“’°"°\(”5 104/493,;- ISS ’- _(Glsmo )( [2) (5—00) + (o785'7>(?aomo°) H --30 W Né‘!’ clxaaﬂt O "2' .l‘eNj +5.. [:8 .1. : .018. +.‘ ro-H‘M 3. _.=::_ .. l 129 .5... Ill 25-13 A copper bar AB of length 25 in. is placed in pOSition at room temperature with a gap of 0.008 in. between end A and a rigid restraint (see figure) Calculate the axial compressive stress (TC in the bar if ' _ the temperature rises 500 F. (For copper, use a — 9.6 X -~—~-—--—--—- "_i 10 6/"F and E: 16 X 106 psi.) ___“ ' _EJQLMQL _U4T__ i'°__.c:l_Qs_ .sc_‘l£4, 549.4 _ 0.0081 g: 9&1, __Ajiﬁﬁ—di i !_ SE"? .008 ,. .._. ._ — 33' 3 so F’ 91103.2.5-13 2—“ 0X10 “7&5 T L <1 re m a.1.u.ﬁ9__._él-_.T;-_ar;¢a.zfr_€\$_#aampmasgms _ Sim s: .5... Se _ __ _ _ 415159 :3 3.3.3 = 19.17 ‘E IT:_— ___-541’:- ~(9_Q)(1€Q(/OX1Q>§/G Q2) T_:—2_56.01_.75(: _. IAI_C«1;L4(L_ _a.._t::1.1m.u 51.13111 *9 {tr-'1 (Mid/_Dg. 91:143—— Hmd' T+ .Qomp rc.9.\$1'u¢- Airmen“ + _ _ - ___ _____ _.____. T” _ -__ _ _ -___ __ ﬂ ___t.‘ _ __ __ _ 1T m -_. - _w “ _ _ _ _ __ ”l" ...
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Homework_sec_2.5 - 2.5-2 An aluminum pipe has a length of...

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