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TAM211_Exam3B_Solutions0

# TAM211_Exam3B_Solutions0 - TAM 211 Test 3B B Fall 2009...

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Unformatted text preview: TAM 211 Test 3B B Fall 2009. Q.2(a) For the area shown between the two curves, use integration to determine the coordinates of the centroid (20 pts) (b) Determine IXX, the moment of inertia of the area about the x—axis. (10 pts) 3£=Lg A) Aalgfﬁodx -.- I’Ld'i ‘1‘) 4x a X’* ° = 1321' -132 Di: Ji ihq' gA‘f'fxf‘adad‘12 5°, #19; :3 A: i =5; (1:: ﬁgux" 33?]: : ﬁgs = if; wo=ffs‘f;m“’ #17“; W __ F x A : S°I§“:xdgdar : £3254} - 3;“) aka: _ 1-1;!1‘ ‘ * —— - 2:: , 1: -.L S ‘-+ a 5‘ ﬂ+ = i - .2 3 .2. M4 15 “LG 7.0 \/ ' a1 a 3 a 5) 1x1" gg ‘4 dad“ —. g L] 1 d1 a 1" u ‘3 x . 1 t 3(2 <0 1x5i1 x. 7, 3c __ L 1 = ________ ._ ....——. SoL T 3 / 43; ‘5 7.! o '2 3..., .. —-L. ’- li— - i .— i : l Hf‘ [g ‘2.\ ' a; 105' lab’ 35' \n “3:71, TAM 211 Test 3B Fall 2009. Name....\$..s?..h.w..n9.ms. ................ Q.1 A beam of length 8m is pinned at A and has a roller support at B and has a couple of 3000Nm and carries a uniform load of 1000N/m and a point load of 2000N as shown. (a) Determine the reactions at A and B(10 pts) (b) Plot the shear force and bending moment diagrams and indicate clearly where the shear force and bending moments have local maxima and minima. (25 ptS) (c) Determine the values of V and M when X = 5m from A. (5 pts) I F: 31:25 ’7 10'”) a” 4.2'/1<Q,&\$§)(°{-31S) ' 7 = 0 «35's I \ IliqhmybAlzs) ‘u‘. 04953 :1 MCH') : qis ‘ ’7' : ‘“V£A= tab-)CU'l’ 740.835) , ‘ I» .15’ V I \ 4.?4 at? 1.93,?(1-3 “ Mic—ac) l: 5‘19 XCM) TAM 21 1 Test 33 Fall 2009. Name ...... 50‘VT\°N5 ................ / Q3 A cable of very light weight carries 3 loads as shown. The displacement of the center load is given below. (a) Determine the reaction forces at A and E and the tension in each cable. (20 pts) (b) Determine the deﬂections at B and D. (10 pts) Hag Ev) ou-Qv-ogﬁ-Q €W‘€bnt“mi 2, A) 435,50 9 -44.} man—0 _, g3+55~ﬂv3 +3C'7—3‘o ...
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TAM211_Exam3B_Solutions0 - TAM 211 Test 3B B Fall 2009...

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