lesson30 - Problem 2.101 The cylindrical rod AB has a...

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Unformatted text preview: Problem 2.101 The cylindrical rod AB has a length L = 5 fl and 3-0.75—in. diameterait is ; it is made of mild steel that IS assumed to be elastoplashc w1th E = 29 X 106 p51 and (IV = 36 ksi. A force P is applied to the bar and then removed to give it a permanent set 6p. Determine the maximum value of the force P and the maximum amount 6,, by which the bar should be stretched if the desired value of Q, is (a) 0.1 in., (b) 0.2 in. A = all -- 175(0-75T = 0.4417ein‘ L= 5R =é0im _ _ LEV _ (éoflzex/o‘) _ . §,— LEV - E - ZEN/Os — 0,074933m. When 5... Mceeaps 3r) Causa'mj Permanewl S‘lVCl‘C/lq 5?) 4+2 maximum io/‘ce 59 PM - A6} =(o-4Hi79)(3ex/o’) r ISflOLtS 2/03 IL 15.90 kiFs 4 SD SM : + Sr = 0_I + 0.074483 r O.l745 in. m m 3 0.2+ 0.074453 7 0.274 in. Problem 2.111 From [:90 g A6} Since (C) UnPoQaPinj, Fi‘O-vx Assume Cain/pa CE is yin/Jedi, Zoo x L09 $30 LAB Sci? LAC. E5: ASY ? 580 ’ EA 2.111 Each cable has a cross-sectional area of 100 mm2 and is made of an elastoplastic material for which (7,, = 345 MPa and E = 200 GPa. A force Q is applied at C to the rigid barABC and is gradually increased from 0 to 50 Kn and then reduced to zero. Knowing that the cables were initi maximum stress that occurs in cable BD, the final displacement of point C. (Hint: (loos/o“)(3q§wo‘) 2021- F153 = (flan/03— 39.5)1103): 31.0 x103 N S‘LSXLOT N ) 54/412 ED is Jan-i1} WA?“ @350 (a) Mmimom siresseS- Gcg = 6} —‘ 375/Hp4. 680: a? r : 310x10” Pq 680: 310 MPaL «a (is) MW;MUWT or Jar/92011.1)“ o'F Pofa'i’ C F3 LED (31.0 X103- )(27 _3 _ ,_g.__s _ z X $80 _ EA ‘ (Zooylo’XlooMO'Q 3" IO m Fm“ U) 5C : ch : 2 gap .— 6.2x/o_3m 920 Man J] “ Pew-MA mew-f eponéaji' {ova lei: Cabpe CE“: (Sag )F =_ (3c?) -- SELCE 1. _ F L; _ 1 (may _ ’ (ch)P“ ($56)“: ~ “ :- $.10 XIOA_W :— 2-7valo—3m Ca/Ufi CE is spcwk CFCE:O) 4;} Q: O. 1:“.— 2(Q~ch)= 2(0~o) = o Sinai. Cal/Ia reMA‘rneJ Jasiinz FED [-89 ally taut, determine (a) the (b) the maximum deflection of point C, (c) In part c, cable CE is not taut.) Elonja/‘i'iavx cons‘iwaim‘i's gr +au+ chJes‘ L‘e‘i 9 = V‘o‘idll'on avg/:2 a? V‘u‘avo’ bar ABC 9—. gmsxzo’ N O *2.119 A narrow bar of aluminum is bonded to the side of a thick steel plate as shown. Initially, at T1 = 70°F, all stresses are zero. Knowing that the temperature will be slowly raised to T2 and then reduced to T1, determine (a) the highest temperature T2 that does not result in residual stresses, (b) the temperature T2 that will result in a residual stress in the aluminum equal to 58 ksi. Assume a. = 12.8 X 10‘ 6/°F for the aluminum and as = 6.5 X 10‘/°F for the steel. Further assume that the aluminum is elastoplastic, with E = 10.9 X 106 psi and 0,: 58 ksi. (Hint: Neglect the small stresses in the plate.) Problem 2.119 Dc'l'ev‘mu'ne +6mfewa+uv~e chamje 46 Cause yle/PAI‘YIj s : fl + Log/i7“), = Lasmr‘), " ‘3 “Gr 3 CAT.) _ _ _._5_1.:‘L‘2_____a = 2%. 5 ° v (10,¢1xl0‘)02.3- 6.5300“) 2 F 70 + B4¥.LZ = ‘i'lS’ F ‘ n6 V‘CSI‘AUKI $+T€$S Gm = 6} - % = 6r — E<o<q~om<Afl 5e} gres : ~ 6;; 6? - Ewe- oak/3T) AT = _26:"__ _ (ZNSSxto?) ‘) F D 5(014—45) - (manoem - 15.87 F (b) T1 = 77+ AT = 70+ 153°» —— l75fi°F «a Ii: 7: > 175‘! OF) Hue downfnuwx Law will” Mosl yieYJ {M Compression, ...
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This note was uploaded on 02/26/2008 for the course MECH 003 taught by Professor Delph during the Spring '07 term at Lehigh University .

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lesson30 - Problem 2.101 The cylindrical rod AB has a...

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