EAS207-Final-exam-sol-2010

# EAS207-Final-exam-sol-2010 - EAS 2:07 STATICS Final Exam...

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Unformatted text preview: EAS 2:07 - STATICS ' Final Exam , Fall 2010 Total points: 100 Notes: (i). Closed book exam. (ii). Do all problems. . (iii). Draw Free-body Diagrams and reference axes. Q. 1) As shown in Fig.1 a bar AB is resting against a smooth wall and on block C. The weight of bar AB is 500 lbs and that of block Cis 300 lbs. Friction at A is negligible, and the coefﬁcient of static friction is 0.4 at the other two contact surfaces- Evaluate the possibility of bar AB and/or block C sliding under the given condition. (20 points) firm i: so a; bet 3 i; =59 (M 005 50‘?) 00 \$05 '30) '6 , ; +(Nﬁ SM 50?) (is 5;“ ‘35.) {So some”; as) W (/M KNQZZZO»42LS I \ \ (5‘73'30 War-“300 ~N820 ’ ' Nﬁiéooirgsw :- 6519M i ~ § ! i «— \‘Nazee’m has Emmy gawk? \\ > (DOC: 5C5 Kigdmaw TINSNC, : (0’4) (699) :: 260g7é 4’53 . 1C6. .4 MSNC -) bxoék C3 WW wilt. R (is: megmimk ' va. kmgoﬁaﬁ Seaﬁkwe 4 """""" ,\ n...” » "x (a) (3.2) The window in Fig. 2 weighs 40 ii); its center of gravity G is located at the geometric center. Find aii forces acting on the window when it is heid - ' open in the position shown by the rope attached to C. Assume that hinge at B does not provide any reaction aiong x-axis (BX = D). (20 Points) 5‘9 igiw-zzjei—agk —-—::"’ :W C 9 Kim N ‘9 )1?- C1’2)”’+ @837 /\ A :Ng26 _ h I: f“ ' .4‘ “68974 \CD + WINE X 3" +82 > _ ﬂ ‘ h m . § + “gﬂ‘gx'<~40,v)zo {N , (4634 2L: 5%(013971TCDK -—~ ©A§9E€T§Fj+oﬂ94§1ﬁpkl Cr“ . r ﬂ) C4. ) >< (By + 532\$?) + (4315:4443 54593396 ' 1 :20 A ,.._ 5» 0,6897 Tag :4 ~§~ M9SASS \QDj +027942r+0m9 x A ‘ wésgam +3525: aéo’j‘wM’iSO L ‘ L L r” {mtg 0999729 "~44 =0 % @3184”) Hwﬁ 1»%.8§7‘TCD +382-€sor=o ékzzmimej @2g8>”37—TED “3335?: ' (813‘: H 22,5 - ‘ . I «M ' FYM QC? 1 QazogzgSWTcwﬁg A '7‘“) g . ¥ ‘ "I, 1 5 7 HM 86v “C39 ' ﬁat-140 “Eva’ng X'quzé'FQB] .... .k 0.3) A beam is loaded and supported as shown in Fig. 3. (a) Calculate the support reactions. (5 points) (b) Write the expressionsfor shear-force and bending-moment for a section between points C and D by considering loadings on the left hand side of the section. (5 points) 7 7 (‘gLDrayy complete shear andmbendjng moment diagrams for the beam with“; the aid of the area integration process. Be sure to label the values of shear force and bending moment on the diagram. Atso show the values of ' calculated areas on the shear—force diagram. (10 points) @ W>i ":10 \$ I ‘ i«(‘30 Mg?) K C95 E \f 7. szﬂ M - war—“So +%C><~S>]C%ﬂ:8‘><‘ W28 Z ' , ,— ‘Q.4) The gate AB shown in Fig. 4 has water on one side. The width of the gate (dimension perpendicular to the page) is 4 m, and it weighs 1570 N. Determine the resultant force on the gate clue to fluid pressure. Also calculate the reactions on the gate at A and B. The support at B exerts only . a horizontal reaction on the gate. ' (w ngwtfi 4 QM: V , r (3:) TR?“ ("78/48") + Ragga?" P12 :7: ﬂ” WW? 2: J K g .ﬂ .7... 3 4 #4 7 ax N YW,_}_§W,4,_”.___M mmmm .......... * ~ ''''''''''' “WWW?” ““““““““ “ “ «a, 4”“, "3 m w: ~ J . . A, ‘ V \J \ﬁ «w L» #3: J, “J J ; I_____.._._ _____________ _M _______ . . . y’#,,MnWme’—tm_ﬁ ____________ N" ‘‘‘‘ x f ‘ A ~~~.r.- , ; k ‘ 2’ r ,1 w ‘ ‘ f5. I E»: : yum.» 7 ya...“ 3"» to“: ’ z’ ‘2’! a -4 7,-.. .,, f": if ta” «365;, _ , =‘ f! »».,.,~.»v-;L.; ‘ ‘ \‘ ‘ ' m: . I V ._ , K A f , if; I, u , “my”... M , F WV «X; ﬂu y g ./ ,1 ‘ t '3 #VJ ﬂ erwm_ ..____._M, (2.5) Determine the mass moments of inertia Ex and IXY for the rectangular prism (with two cutouts) shown in Fig. 5. The mass deﬁsity is 10 s'iug/ftB. (20 peints) RQC3§§W a» ’3”, <24)QOD)L7/§ﬁ‘qv> I EX/ﬁ 57733 305 ﬁng.~&j C3) + m 3%,,“ 7:- Sfig'xxo «i- (in.ka C NR“ ﬁx a _ \ KL L M)» ‘ Qt , V ' rung)? 3:. {EX/r \m <ﬁ+%>:ﬂO)YJ X70454 __ f ,. "‘ Jig/:(mnmﬂta) : “2953-55 W 5* g 359% +WVM3 Cénﬁ’gqj ‘g "” f , f 2 ix 7‘ ix + max“ g ‘ 1’ ‘ ’“ [x :— §9§3x§£ + (47314) {91,29 (.53? Ix: 5v242é7< \OA" 34mg. Ix :2 <19 <10 -—~ Km Rplﬂx?x;g 51? Sxéxé, Cj a3’h&ﬁr w ' § T _‘_, w 6 ',__, £3 ﬂ 4; 7 , —- x "‘ 2351*” —-~ 5 £31m 50 ~ 5.24sz WW '''' ﬂ , f" é L, Ix : 2' 203 7‘50 Sxﬁwéé? Z ...
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## This note was uploaded on 11/10/2011 for the course EAS 207 taught by Professor Richards during the Fall '08 term at SUNY Buffalo.

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EAS207-Final-exam-sol-2010 - EAS 2:07 STATICS Final Exam...

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