ENG35-s04-final-soln

ENG35-s04-final-soln - Name Section 1 A rectangular box has...

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Unformatted text preview: Name: Section: 1. A rectangular box has a force, F = 80 lb. ‘ that acts diagonally along the far side, y-z face. owls; 7 M a) Express the force, F as a vector. (5 pts) b) Determine the moment of the force, F about A. (E pts) 6 c) Determine the magnitude of the moment about A along line AB. (165 pts) 7 5‘ , Z Express answers in terms of 2/, XIX , o‘ A A F , ‘80 singing): - so “st >k 3348A Sass t _, A (MA EB FAE T (o I. \ T. \t i:— L A VK : ‘ A / 54A F l (0 o Q .~ mam \« - (99416633 s o 33% fihss A : “1‘15: + airlFrk , (Qt._\\o~;‘> /\ \__>~ ‘ A ’ L C\ \AAg) F “507.ng {(0 l— f 5 r o (a: - 03L MA i = MA ' 9MP; ' <90~3\<"'.5'4“>T> ‘ ‘ “HELL” 0‘ ii” 5 .- Name: , Section: N)“; 2. A plate is pin-connected at A anda/pin set in a 600 slot. Determine the reactions at A and B. (15 pts) \OLIQ 8 LN) M ‘ q i Fee <- ~ ““ in Ax ‘77 300 I” a AL __ A_£__._> E =-<; L0 CocAs OVYc-r “a ‘ \5 4* er‘o wows + Aw + a 60330.: 0 VWE: """" Name: Section: 3. A simple truss supports a pulley that is attached to point B. The cable is attached to the ground on the left side with the given angle and has a horizontal force of 100 kN on the right. Determine the forces in members "AB", "BC" and "AC". Express as compression or tension. (20 pts) 20 m . QM Woks) _.., 4 / 40 m / “>6 inst): —3-Qoo) + loo-Bx = o $th = Z0 to Y 5 3 ‘ __ 7443 B; Z EiIO: '~%lOD Ar, gas- 0 2“) El; : (go \sk) E to!» 9 £09?” ‘\ (ED / . w-‘PZO 4F} "0: + 20 + “3 sm 4‘; — fix SW45 = O , l\ 4'0 \ : ._ —— , “$55499fi5t A¥Z§T 0°” ’90 “+AL“\“(:’+ k5; 5'“ 3‘0 cloK _ a ' '40 J‘ 3- Eur; SM. 45> '1 C) #73 335.8% L/Q (6%?”st r .— \10 C19 an"; “"33"" “\ 6‘05? r??? . 5&571 ( l a) 9: k [\3 r r ' -————-___ c! _—~ 4. V\ I, k”) FAQ I;— Z‘l‘rzoe "l’H... 5b 6? 6‘ J Name: 4. Determine the centroid of the area enclosed by the two curves. (15 pts) D W P61 :"‘ “SA ”‘75 (3)63va ska-5 D \ x ‘ 4 V X - g ‘ XL ; >3 ~ x.” : X: x <_ o Y (Y BAEK b )9“! L 3 "1T ’ s t it“ ’ (a ‘5 (mm—m EZKXZ-Xfl m ,— Xc. A L02 _ i. ’_ ESQ - X Z ’7;— ' ”(a — + 3‘ Y z T » 3 ‘C s Lt in 3‘ 3 '(fin '1’ J, (6 {Z Y— LL _‘_. l/Lo: 2— 7* il/ 7, Section: Name: 5. A symmetric frame supports a load P Via two horizontal forces at A and B. Note that the members are pin- connected. Determine the load P for F = 800 kN and, a) 6 :150 (10 pts) b) e = 30° (10 pts) a» I"? A F7 ZFX ‘r {:3 9‘ F ‘F ET . it“, OK; :00 LG :25: V ‘6‘” . t‘ ' <P= 5L 1"»; b\ /, /“F;to’ r ‘1// (14/) . 4) 30) _,. " k n A“: a! C ,3 Section: *P Name: Section: 6. A beam is subjected to a trapezoidal load from A to B and a concentrated load at C. Determine the shear and moment at x = 10 ft (between A and B). Do not draw the diagrams. (20 pts) 71b/ft 41b/ft A B C 20.25 lb ,.,._ 9ft 3ft 4 -.-: (a W} E X = 6 ft J 25:02 \/-- m- 1.6 +2025 .— o =» v: —o-7‘>’ up l JFK“ iMK=02 ‘ M " \i§(l’g\) ‘ \IS (Z) + ZO~ZE> (L03? 0 :> M : +q\,€ A r» \L LED, 7”“ i EL“. A» _> Cal :_.,.l .. ZR =0: A»: 0 A13. N K 2016 2:; ~. 0: AL) — ISL: — \35 k 73'25 ‘0 45m» Al: +2715 T (to mi” “...”; ”>7 _, t2 ZH‘ =0 Z ' 3C9 (445} ‘ \3-‘3 (Q§+ZO.Z€QZ> = 0 \/ F—ng - \Piéx éAe EE C. c” - 4 ~41 4’ 4 4 +2775 ‘27‘ ‘0 *V 7 ‘7 * l_ 2% z::__.,._,,l l; )3 \1 = , 0.3% i We 244' l > v M “7:?“ «y E) Effigy; -zmym +24 (33 wCZ) *W 0 4° ' mime ‘8 (ML, ...
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