# Exam 2 - Problem 1 135 Points} Two solid steel shafts (G =...

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Unformatted text preview: Problem 1 135 Points} Two solid steel shafts (G = 77.2 GPa) are connected to a coupling disk B and to ﬁxed sumports at A and C, For the loading shown, determine: ‘ a) the reaction a Support A b) the reaction at support C c) the maximum shearing stress in shaft AB d) the maximum shearing stress in shaft BC TA +TL ,— /VOON-M I “DR h (57”) lk1131)§:(¢100)‘}.h ’ (3MB) 9 ‘de;\ Mi (1);»; i (be: ’0 / Z > ‘MS ‘5 (Pa) 6L new 4* HM W5) A” - f0) 0251)“ (Zen 3%“ a (“my £sz ./ ' , Les 7 01M (Pr) L36 1 0‘15” 0‘90 U?) 070 W) (110253” I Elm/y; BC T C2 L 1; (0.01MB ”' M (hrs 1 0'5“: 0 TL 3 TL / I O @715 4 5/, 5c ’1. (1» p 17; v [H Jim-«M0193 T E( noes”) Ehpiol‘ﬁv‘)’ : ng MPﬁ ‘ th> : um Problem 2 [30 Points! The steel T-shaped beam has been strengthened by securely attaching the two oak boards as shown. Knowing that E = 12.5 GPa for the oak and 200 GPa for the steel, and that the composite member is subjected to a positive bending moment M = +50 kN-m, determine: a) The stress in the steel at the top edge b) The stress in the steel at the bottom edge c) The stress in the wood at the bottom edge C—“WGE use»: To ST‘EEL i )2 75 mm W: ‘3 .. _ 20 mm 255 - Dow‘s (“9’53 75 mm ‘ EANsFma/mgo gECTTGAJ 2113 ’y': (291529)(3coiiso§* CZWXZQCM : /<,3\$.\$s‘m-\ (gm) (26.st 3a)) # gees)ng j: : [Elﬁn SEX 3‘»); + “WYXBDOXI \$175457»)? + _p ‘ [M (Loops? + @m)(255(3)o'lﬁi?§>2j: :sc’nnbe C399 (2.0»: EA 43 J} = - +6‘o/owU-mlbazap/99m‘) ISG: 6 lie—('le : — '3 If 3‘7 M‘ A (COMPQESSIOU 5V r 2w: E") b\ a? r - Ugomaogwxmmess’d ’29' bxlo’4mw L2??? 590 Q (FY ; - (52” 0°” MMX< Iﬁﬁss7n3<é_::> IZEbK/O'bmv \Ul Problem 2 (30 Points! The steel T-shaped beam has been strengthened by securely attaching the two oak boards as shown. Knowing that E = 12.5 GPa for the oak and 200 GPa for the steel, and that the composite member is subjected to a positive bending moment M = +50 kN-m, determine: a) The stress in the steel at the top edge b) The stress in the steel at the bottom edge e): The stress in the wood at the bottom edge 54H 75 mm :5 mm 2 20mm n= :2 ,r ’2'; Ha _ GHQ [WA/us FORMED SEdIoU _____/_,._ H”, ,,,,,3L<>L__w_\ 1a ‘ , mo) gw§(is‘u\ 4 gzDzoLze (3» [.7‘} _ { 7 W : H? 957m (3759 § l/, (WéLﬂo) + (320.3(253 / 3 I ,— 1-1708») + ( my») (main/932] 7y 3m” 75.— , L/ 1w )1 —t [);!(3100>KZOY + (3m>[2¢)<5,0-,7955)2] _ ‘g ’ Z./tr7¥/0 My (W9 Lies as 0076) “3 w-G 5Q°°6~'“>(.sw~-'79%5 a? = 1"»5 ‘n 55 U) : _ < “,3 —3 Lien/o ML: (29% Fax 8) (7% = »(+mw,&.mmimm) : 2‘1 W ~41b‘5m‘1 goLeTIzM/ » Problem 3 (35 Points) Three boards, each of 1.5 x 3.5-in. rectangular cross section, are nailed together to form a beam that is subjected to a vertical shear of250 1b. Knowing that the spacing between each pair of nails is 2.5 in., determine: a) The average shearing force in each nail b) The maximum shearing stress in the beam. 4) i: 'V_C§ :3 some I LENcTJJ ' i ‘ (37>) _ / Amy S5) -—\$zs‘ ' T9379 0—- A; 7/ f 250 I55 (7.8'75‘:,,5> F ‘ ‘1 = '5 _ , __ . ; 79.; us/k . (ft—#34 @251”) 7:135th 553 i’ ' ' ‘ 1 = 7'???“ (4’9 V \ Z?“ 3 , -— - I E’F'Z‘f Z/z loo-\$5} => SHEAR 23.20:. E 79], [4% A (25“de (at I t 3 SHE/r2 Ems P92 NA); = M’s-,2”; :@ _ z— 5 ([2 > = 16‘. z 115 (7,939 \__\,__J QM) b3 M/fx SﬁEAEIAJc Srzéss _— Elf; : Eszb—a/AQ Qg) . (mm) ’ P) @713) L329 Q N, :(gsxzﬁﬂluﬁ : 1.95%} (1,05) 2‘: EL?— : 5”, mg); (25, §7rm~gf'( N (2919 (3RD) ...
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## This test prep was uploaded on 04/07/2008 for the course ME 533 taught by Professor Bob during the Spring '08 term at Kansas State University.

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Exam 2 - Problem 1 135 Points} Two solid steel shafts (G =...

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