Statics Exam 4

Statics Exam 4 - Name STATICS ENGR 2050 — SPRING 2008...

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Unformatted text preview: Name: STATICS: ENGR 2050 — SPRING 2008 EXAM 4 APRIL 18, 2008 ____________________________.——-———————-——-——-——- Instructions: 1. Write your name at the top of every page. 2. Pay attention to what the question is asking. 3. Show all your calculations; draw BRIEF pictures if you need to; state any assumptions. 1. (30 pts) Determine the forces in members BC, BI, and FG of the truss with the loading shown. USE THE METHOD OF SECTIONS to A do this. Indicate whether the >‘ forces are tensile or compressive A“) forces. (The support at A is a pin and the support at D is a roller.). \$4m.—Tz “drummer m... Sm W431”.._,§w_4mmbg ‘ . (; iMDZVO ? lOWQL Mair . 0W (8 m) —Alj(2+m) 10 :7 - m 10m 10m ' lo A3 7 k 4... 4... A “A 6 E 560: lav/Wow g 2M5 :0' ~ lowtc‘éwlr Pap U-~>30 Gl m, _. ' ~ w “’ "Fm “1533‘”an ‘0 err”; , . r: _ —’ , Jilin-.0 , {Dw'tow 4. 1% HS: r O :D‘Fg; 'O Page 1 of 3 Name: ﬂ________———_ STATICS: ENGR 2050 — SPRING 2008 EXAM 4 APRIL 18, 2008 2. (35 pts) For the cross-sectional area shown bel w (area inside the bold lines): a. Determine a? for the shape (the Ve/éturca 'stance to the centroid). b. Determine ffor the shape (the ho}’:%ft‘a distance to the centroid). c. Locate the centroid on the ﬁgure. Draw a horizontal line through the centroid and label that thex'axis. Determine the moment of inertia of the area about thex'axis. cl. Draw a vertical line though the centroid and label that the y ' axis. Determine the moment of inertia of the area about the y'axis. x 1, 1 N u M (20~)( .4") — ﬁ(o"l(3")— WM“)? To] "-— I} .258" ' i c 2 QA ((o“l(WXZO”3' €40">2(%I1X9231>.:.125'< WT (4’91 11 2A (i4")('20".>— L2 L3”)(c~)~ ﬁrm"? If 3" 1X ’~ H109" , ; i1(loﬂmwflr(low14'!)(7”—vzo,(g78u)1 l Ex I: ll 7’] ’lj’ (wank 5<o“><3“)l€=w£ r') 3&0 ‘L U (I 7%’/>Z] «\$81qu i 11mm ()4 I 317*.l! ‘ix’ " 34lz MA “##W—W ‘ q H 2 T I a l (it")(zvo“)6+(l4"7(20”)tlo,03 rlO) ” "_ 1.1 - Eb (%‘l)((ptl>34 Ji(%“)([, >Klo‘04 r2 ) 1 , .. 1 w, 0610"] KW; 10, Semicircular area. Triangular area Name: W STATICS: ENGR 2050 - SPRING 2008 EXAM 4 APRIL 18, 2008 3. (35 pts) The compound beam is ﬁxed supported at C and is supported by rockers at A and B. If there are hinges (pins) at D and E, determine the components of reaction at the supports A, B, and C. Neglect the thickness of the beam. 49'” For: or E0, i.“ a, EX‘ 9001b ' 5 E 2 2; 3 8W ftﬁé {{WS ft MW; E5 CD :2 f: 2 f: :2 ft qoolb - ’DE'. @ ’ ' P97) (9! p ﬁbAJLW___~_ 4_ EX ‘7 62 MD: O~_ ,900‘“(2ft)~ to) {6: {0'0 X ~ ."7 > f—LTf‘L 4! 777%» :> E3: ‘BOO‘b 57 E3: 300w ? (on l: .93 3 JZFTO'. a ~400'”~(~300‘b)10 400w 300W L7 m: mm m 92> £7NEH)'.P>?O»Ex:o-—>Ex'-Olb y @ gin, ~.o~ [email protected]'bxazmmv ML: «7800le =>[l\/\L = 7550 "('3’er ,-~ * + O » —+ Z = => :7”- i 1% - ~ i W - a O A ease iw - _ ' . lb F89 D; ABD \$¥ w r\\ '—> [x “r 259 -b, 77",..3 ., e 1.7;, 3‘ I \\ q _. v lb 2 ' I I '> t ’-> A) G 4 334’ 900i» 7 ’ C3 Wig/0'. 400'b(121’€)-A:1(10¢€lr%00)5(4fi)~ooo'b(4 \$020 if 353:0 ', v 400/1; +3001b'300v’b + 3 “(’001b20: Q40‘bﬂ Bonus: (+3 p13) Answer one of the following: 9 _‘ ””””””” " 1. How many feet are in a mile? 2. What is the relationship between the stiffness of a spring, k, the force in the spring, F5, and the change in length of a spring if it's subjected to the force F5? Page 3 of 3 ...
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