Summer05 - EGM 3520 — Mechanics of Materials Second...

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Unformatted text preview: EGM 3520 — Mechanics of Materials Second Closed Book Exam . June 17, 2005 Name: C C Hg” 1. Two solid steel shafts (G=77 GPa) are connected by the gears shown. Knowing that the radius of gear B is 20 mm, determine the angle through which end A rotates when TA = 75 N—m. _ z- 4 ‘ gig 4 JAB”: aqua”) : [.5708x‘10 (m J A 400mm 4 . ’ 4 ‘ _ “Ti,” :Bzg ZXI'D CW) 23 JED 2”“2) 7 500mm 3 '/ 43 _ TAL/«B 1&1”?— : Noam“; rm! V3 - 53,“ (77no‘lu/J'7m/EJ 47%; 2 43C 4’; “=7 (4),. ’ (PA/3T cl"; = Sloucmo +433 if“) f‘ i 4— L . P‘ ‘ __ - rc _ ‘ £0 4.‘_‘= Al...“ In IOY slimr'l‘ CU " 1c ‘ T; ’A ‘ ST» 73 225‘ ' ‘ ._ r A ’3 r 4) "a it) — r “4 LCD -; t: 3§_§«g¢f//D m6] 5/ C ‘ 9 e1 5w l77m’i)(312£‘72m / f" -3 ’J A :id’ 3/97.é5'3éX/0 rad .hg , ,3 r 7\ '- ~ .756: 5L“..§;‘?H’Jr/o TM .14 “‘c ’7 (7’3 r3 ( "— — - ~ -3 —5* .u': how" kg“) :7 ¢A=3LDC¢HIU +ID'7.6$“36X/0 z: [39)5J‘771/6 Md l I r “o r IV! ‘4‘ O i HEan A rental—ex 7.‘l4 w TA clivccl/o'n 2. A Generate beam is reinforced by thr‘ee steel rods placed as shown. The modulus of elasticity is 3x10 psi for the concrete and 30x10 psi for the steel. Using an allowable stress of 1350 psi for the concrete and 20000 psi for the steel, determine the largest allowable positive bending moment in the beam. <9 __ ‘_ i '2 a , Ale-14AS ‘— 28.040 m “For egulv’alewl K—s‘ec‘l’ldl’l ; «For cavalry: «lal axl 5 A:A'+Az'-E gfiorAetg’gur’fiM‘ A? : Air/ii =7 o cs’zoiemrwc‘w 3, 4301 .i. 12.0430— 2:1 945:0 =3 gays-44H 21°-é3il4=0 =° 30“ "'zl'4vgl“ J7EE? l 7 also; or —/0.6‘| go 2 6‘00 ;,,, :7 153: -é(9)lé)3+f€.0+'(e)l: immsé in“ D G‘m" 3* may!) _ :3 PM wmre‘ie : (rm : M3 => Me 5‘ = :— ammo 453 30 G . Ulnv‘m) .lTOV’Seel; Q‘s-:Esfemfcg:mg‘c:nl4:tl '—' . , , 1 M = M = W = 43254110 (ling “3m (Mitt?) l ’ I wig“ M a seam/'03 “le : 3. A 1600 ib-in couple is applied to a wooden beam of rectangular cross section, in a plane forming an angle of 30° with the vertical as shown. (a) Define your coordinate system and then brieny justify the equation for the normal stress to be Used. Determine (b) the maximum tensile stress (magnitude and location) in the beam, (0) the angle that the neutral axis forms with the h orizontai. ‘4 (a) wa‘rBE'il/wdej me Al: 'mcol a: Shawn 5 7 Hence, '91 in: edit)“, I- =Svatin=0 1600 lb -int n I P y 5 A I betauif cad sjfiimctril, “ 3,5in. I r ‘ i 1+ impllecfiim‘ $~mds anal (5mm me MD H” Paid?“ Cemlrcltolal (Hr-f. Hamel, 15m WINK W, My?+M3/t: vde have - 3 - - J—‘i L: : K'M' 1W - “(35)! l at 4- M 3 M 1 _ a . 3 gr 1 _L— — _._—3 /CU TJ. _« 4* may», x a ._ 15$ HUSH?) ‘ J.” l3} , . ,7 Awesome,,,,b,1\__.w,,,,é, ,, r, A ,, i (b, M’: Msjhgcfia‘ + pit/0539 It :gcod+13§§,é¢oei¢ (Ham) Sin” M] 7:”;- lmjtsr 45"“3 9hr” “IUV‘J AC and M6 TV“ 14:59:} 'JrevLS‘iik-a €1V€5§ aim/1J- CDt TLcmk/Ve [man—st rtesflt dst? “Jr-H h GI C WW (Scbflvm‘: (izsi";b¢)(~i.7J) (Thar—fa— _L fifisflm) ,Lliisnms) = 60V,£’+ 4522.5” =- 1062 psi My I3; “360 £339 _.,__._,_ H3 3'77 ism “5’94? mil“ (11:13 :7 +ahfilb : u (a) «lancnlJE—g- 3, Ci: lat/I'll?) :M'i ...
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This note was uploaded on 09/06/2011 for the course EGM 3520 taught by Professor Dickrell during the Spring '08 term at University of Florida.

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Summer05 - EGM 3520 — Mechanics of Materials Second...

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