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Exam3A_Solutions0 - TAM 211 Test 3A A Fall 2009...

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Unformatted text preview: TAM 211 ' Test 3A A Fall 2009. Name....5..9..‘:.‘:.n.9.t.‘!.§ .................. Q.l A beam of length 15ft is pinned at A and has a roller support at B and has a couple of 3000lb-ft and carries a uniform load of ZOOlb/ft and a point load of 5001b 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 MS) (0) Determine the values of V and M when x = 10 ft from A. (5 pts) 1...: at; ’ b \ l p, ) 9 ‘° i % 5001b G’m—“L ‘ B) \ 2001b/ft , ‘ 3000 um i _ -' ' 3069\b44’ 3 ft 10 ft _ .. -— OD 9M:o: aaou-stwaMW‘r A R5: \390 lb 6 Km: x106 “9 “MM‘ r P-n P412” I ' ‘ 3“" 5M {4* *‘ . A , A B J Li 2ft " b4 injwc‘h'on 0“ MCV54‘Y): -1500 U944- ‘Vlcd ; ‘ Anni-.145”) . 5% lH5P1(h'°H gr-l‘.’ \ . 519.9 61‘ 9L4“ 0 ram \_ ’; a Y4 a ‘. ‘/1C‘P)Cl1pfl) ‘3 i g “340‘: JiLWXMU ‘3moo w” m Mm TAM 21 1 Test 3A Fall 2009. Name ...... §.?..Er.3..T3.S.!.‘.’..§ ............... 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) y=1+x/2 — x - ‘* 1.5m. . ’79 A” § § .. “(”4” ’ .04”; 1 )dz ’ ‘1 a 3~ 3 I A —|\ ”—L - z. - '5‘ - I * - 'x ‘F .+ 73-], ‘1‘ 3 a 13' » A - :L n. 1 2 \9— ‘1 ’1- ’ ‘m \H x aeegfxtnflv “'ia a; x“ t 017- '+ :4 :4. a: + — -a= ) aka: 2. a L .+ : 29, A- L +- 33 - '7‘? fl ‘ 7. “1' 1 ‘5 JD = .L t- .L a- J— “ -'-» :. be: A» 2.2 +2; - LO; 2 t+ 1."! H: WM; ‘15 \‘L9 \‘Lc : £2 m" Ito M.” ‘7 ww‘flfifl_’mmw ""‘""““*’ “"""“‘ ’— r“ 4 um :-~-»-.V_VV.~,,_‘W__M_‘~—r u...»_, 7 - _ 81 . 8‘3 . _ , - —-~ :_ "'"—- l . “ 0.1' L4 We) /<1—1L. Ha ” m - a r. «y»; xmm4u>amnnmabm WWW—«n. mmmmmrxww—vv ~ ,-.< - ~ \+°“’1 4.4-1-4-; La 39: 2+ 2.: 0.37.? m4 :E: W.mawwm , ”MM-Jr TAM 211 Test 3A - Fall 2009. Q. 3 A cable of very light weight carries 3 loads as shown. The displacement of the center load 18 given below. (a) Determine the reaction forces at A and E and the tension in each cable (20 pts) ‘ 9 g (b) Determine the deflections at B and D. (10 pts) 0 1’“ Vw “W i bit a m F) QFfia—O 5 ”Axfi‘E‘IK O ...
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