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Exam 3 soln fall 2007

Exam 3 soln fall 2007 - U 14 40473.0 [email protected]“ Given the...

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Unformatted text preview: U? 14% 40473.0 _ PM @077“ Given the truss shown, and that the vertical reaction at pin support A Is 9 kN, a) determine b method of seetions onl , force in members CD and GF. State whether tension (T) or compression(C); b) determine by method of joints only, the _ force in member ﬁg. State whether T or C. 4‘75 CD EMA =0 ~44 5/040» (344)441£M)+(4H) )(sﬁmD=a do: SéQHT’ 7’) 44444: 504;, =0 &%m%61(6;n)+(eﬁrt)@m) ,0 It 575.3% 49) ﬁg E4 this 2 9444434445 72604045 (04L)! m1??? GET/4449 V “4:944“ _ .. {29 1043147441444 44494404 04104 20M4<440V414§ a? 2429/43 4704:2491 4H5) graze ”T «345:7 446 X4340 Hémtzsﬁ)aw4\$‘+}4édw% 57:0} Hr 3 ”EXTRA“ 5 pts ’ :In the following truss, determine the g; : 2:. Egg : zero-force members by observation @ E 7:} ED 634 ? ml -' @5451: (4-34 @Ma) MK CF”): @ H 4- H: a? H F C? 273:0 44447177494940 4444:“[232615/4695 __GE @4173 ﬁg 7_ W 294121 “574119th 80L N53 1%: For the frame shown' 11] the figure, a) draw the FBI) of member DCF, member ABC, 1 and member BDE. 5: b) From the FBI) of member DCF, determine Em _ the reaction forces at C and D. J— c) Using the results in part b) and from FBI) of member ABC, determine the vertical ; components of the reactions at A and B. F’ﬂ‘g’mﬁwl: . . - 1 1 , . 3 , x ( La) W gigggygcg ZMD ‘10 {Z gbmﬂmﬂ 4» ‘5 C) :0 Cr! [9 MM Wee Djvii+l0 36:0 b3 {3335*}? £170 sz o a) %¢B>i Ego; (if; Leééﬁd web) 21%; 0 ml 460 be) 0 51: 21' 3319141“ Zﬁzo Ag-kiiae—LOEE so Ade-IMHO; \$1) 5 ,, £32 zmsmaa .. , a) Prove, using the sin e inte ration techni ue tau ht in class for ALL arts that the centroidal (if?) coord- inates of the right triangle shown is (3, 5) inches. Use: y = -(5/3)x+15 I b) Determine the x—centroidai coordinate of the entire ‘ shaded area by the composite area method. Use the 2 information from part a) for the triangle. * QX: .5711? if} . t We a2§= W :€%X+zs)cl%< >6 =x . 2: 9 ~ 9 Vi :% ~== :GE/ﬂvﬂ‘é) 3 M Aﬁiy£xig€ngXiﬁ)c§K :Sr%x&x *éfggx a; “%Z]: +£51qu5 é-LS’E;2 9 , . 9‘ , 09! W3 q We .1. sec; @fgSXéZX-tﬁﬂx :y,%fﬁ¥+oj‘5xc§x: Zjﬁ+l%ﬂ: \$69); =2025§h5 . ' a {40; ‘ a £07.? Riv—,2: 29337;”: a” / 67.55"?“ _. 9 9 . 9 \$5??an ﬁgmﬂﬁx =5§I§X5 xrzgxmé’jix ‘ 9 “’2. ‘9; o ' . 3 9 9 9 « _» —. .233 - 2: A , _ ‘ ‘ ,.__- a _, 2:525 112-57 :7Qx-33‘me5 92%;ng gawk 4-; 313‘,ng r Vila "’ v.2 “64:74:, P” 357.95);— ”if \$513, i ”if mime?“ ‘ +7” ...
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