2007Solution - TAM 210/211 TEST 1A Spring 2007.

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Unformatted text preview: TAM 210/211 TEST 1A Spring 2007. Name....§..9...‘r..}.{..l'.7...é7 N 3‘ Q.l A square foundation mat supports 4 columns as shown. Each load is measured in kips where l kip = lOOOlbs. (a) Determine the net vertical force R and calculate the net moment about 0 of this resultant force. (10) (b) Calculate the x- and z—coordinate's of the point P in the xz—plane through which the force R acts. (15) - (c) If all the loads were doubled in size, how would your answers to (a) and (b) change? If all the distances were also halved, how would your answers to (a) and (b) change? (5). y ,1 M a A S T U f‘ ’31 ;-+0 2c: “K‘”rlm’g:§’“tflfl at ~F=,,, .11 t J 5:? “ J J J " .EWWMHJAW Q” , .-‘ kt 15:3 1 HQ (A a ! —.ifiv.m,.7;.1-.,,,,u,r f S‘s/la: (Dy/Liq/Ij-kib-LM/Je via/zefj d» {vg?;u{g;2;:}*\ , rkfi likips r‘ :: “l(w7.o)l¢ #( JJ‘fgajf—T C>\ fl 1’ 5ft 1*. ,1 * 3:22 - 2,2131 —-1’L.ai¢ “EJQLU. tag, 2/» n3 1 A n r .- r» \ {3- “’43. ~11éciar-pelfi-v'0f U”) ‘3- ' gr; :‘ {L A A a. R 9‘3. n (a LYlkfijéRlfi)‘ (cBQT‘J—pufiai b .. obit" m»- Y?:V7a*y‘re~i.£ \ + 1 - 'N‘ '1" Arme fix,“ 7 . JH .5 ..,._. Klemefs 43’? it?“ gall-'54.: 5* neg-i“; earwwl awe/La at, -, » "5’7 ‘ TAM 210/211 TEST 1A 5 rin 2007. Name..E..‘?;....‘-.:.::.f3.:”"' S Q.1 A square foundation mat supports 4 columns as shown. Each load is measured in kips where l kip = lOOOlbs. (a) Determine the net vertical force R and calculate the net moment about 0 of this resultant force. (10) (b) Calculate the x- and z-coordinates of the point P in the xz—plane through which the force R acts. (15) _ (c) If all the loads were doubled in size, how would your answers to (a) and (b) change? If all the distances were also halved, how would your answers to (a) and (b) change? (5). if) Cam‘hhlv/‘qd... \ an; *N Ar EMU—94) S‘va 9”“ ‘ wows ‘H’Vl Qix/le’ 3". b3 \r-‘erQ‘L a"! F‘a‘wwm {a ‘l I TAM 210/211 TEST 1A Spring 2007. Name .......................... .. Q.2 A rigid beam of length 6m which is fixed at A has 2 parabolic loads distributed over it as shown below, a (a) Show that the loads can be expressed as q(x) = (KAY/8 for 0<x<4m and q(x) : (Hf/4 for 4<x<6m. (10) (b) Determine the net vertical force'R of each section of the load and calculate the net moment about A of these resultant forces. (20) ' (c) Calculate the position along the beam through which the total net force acts. (10) a 'oavabofifi ’nafi 62h «at: Y“ M m 4; l V“ (Lu? “"e-MA L33 V" "‘ V, 3-; at Wm Mafia § 5“- l'rT‘? lkN/m L24? + M»? H— ‘n; “I'M-4' £><L""+32' y :4" M- Wag Qiatmm O M- on): ‘LiLm “2., Que-5+”— E“: ob*a=H V\~aj)‘"‘+ +2: 55*5“ 5‘ 'Fmom obétawi m “i; 4* )1" at? Fm Pi fit We \ «vhf a Q2) 2M9! A 1— : K m x ‘ZJJU , a. 5" =5 11 a S“ MC? ‘+) A,“ [L -%7¢ gym;th #534649” " ‘7 H" ..; “Ham 35"?3 10+) L4. FmWBX‘Um 0'”;- = E?— 3337 _ 5 5, T 0‘“? t m 1 our NW sags-N’vw ( r ‘96 1iLaLa%u-J iaufibbN 5 ‘ l M ! Mrmwmfifli ?\§M ................ MW EMA ‘2 Ef‘z‘wujC—waj an S‘§CQ;M?)GEJ -.~. Tug-.3 (.Q),\¢Nnj fivu. 3 mm; Atom? 2:533?» (3314:“ mevmuumwwwmnmwmw/ nun LC) T9+M Mi” Q1.L2L0)Li3 4r (o,u?)(§.§) VWWW " '2 \ § , m1 0 M 1 3 ‘3'?) g: mw4’ «A 'Y’HM 1&0/1HWC’3’L, raw H4 SPIMNC'5 L009“ TAM 210/211 TEST 1A S rin 2007. D W Q3 A known weight W is suspended from three separate cables as shown. It is desirable to adjust the two cables AC and AD so that their tensions are equal. (a) What would be the necessary tension in AC in terms of W? (10 pts) (b) What would be the resulting tension in AB? (10 pts) (C) If the maximum tension in any wire is limited to be 1000N, what is the biggest weight W allowed before a cable fails? (10 pts) .»- 0 but m .531le } il l , t Vcefiaauw‘e -' '* - ~ -» .- » a ‘4'? + o, w—t f‘v , . t A", I) Vla t v.“ \j ’“Ar '” f‘“ 9 “3 raw-+14 exam» «— 0t8&"i“‘vc.w’~4' Rafi?) .» . .v. “WM”; J \A‘D’t '“ 17-555“ '* 9,1129%? ( I A W J 1 k‘JL‘fif z’ A l a f (i " ‘ i l goal a. p «‘jgafif ‘ t F? “4 ’al) h "’ lA I "' \ a If”. *" X" ° ' ‘3’ ,«m «Zia: -=*7 Irv-3,522»; fl mi 4' N f £1, ,1 £353";qu Cayuga; £?VZ.O'; RAE: CD‘wa fli'fi‘ Owgfi‘,‘ F J ' / mean-“‘4‘ °‘ 4” la magmas) a W" l w I z. 6 1W *5 f 13% " fl '3" “ g rig—EV “:3 ., , O a, ijttftjj A“: n gr Lb) Wm} :2 “MAC! = 1(o.z=r5‘Iw;) ._ 036,0 firs-unfixmr.~«< ‘-,»,‘W.w..nr~ A .yNQW1wwwwv .w-m mmmwgn-muya a yawn {if , PL “uh”, . ., he = (Ans) 3A5 9 I-P AC d AD GU“? équmLQ, +Mh A5 ,‘5 ‘Hru £427“ 'h'fla (sq b2 1“ baf-P‘F m VW 9—? I660 N, loco: \ABl=’2!AC) = 1C0 ‘29? {w() XWWW 7mm yolzu. Q§‘ fi-j‘rylflnsPiooa- TAM 210/211 TEST 113 s rin 2007. M § Q.l A rectangular concrete pad supports four pillars of a building as shown. Each load is measured in kN where 1 kN = lOOON. ." (a) Determine the net vertical force R and calculate the net moment about 0 of this resultant force. (10) (b) Calculate the x— and y-coordinates of the point P in the xy—plane through which the force R acts. (15) r . v (c) If all the loads were doubled in size, how would your answers to (a) and (b) change? If all the distances from the origin were also halved, how would your answers to (a) and (b) change? (5). _ g m A, '-= +2~+3 —tp'+?+toc>1 “*0, .J t\ “at J‘HOJ - go 1 mm: “‘1 84- ll 4- trig—J- mes—u» (A exam N G, "2.001 'TD‘HV) 1113(th m . 1T3? \B. Swami“?- Ls“) SMhW *0 <1! mes—a» IA SP\L\NG zoo?- ‘Tfim unluu m \ Tar-3T H9. SPLOQ? . Name...§..l:?..lm.>.4.fl“l....i~:52“W “is TAM 210/211 TEST 13 Spring 2007. Q2 A rigid beam of length 11ft which is pinned at A and B has a parabolic load distributed over it as shown below. __ 7 (a) Show that the load can be expressed as q(x) :Q5(x-l)“/8 — SOOjlb/fi for l<x<9ft and q(x) = 0 otherwise. (10 pts) (b) Determine the net vertical force R of the load and calculate the position along the beam through which the total net force acts. (20 pts) - (0) Calculate the reaction forces at A and B of the distributed load (10 pts) Vertex is he diFW/gtdwfiacfi 1’3. 5(Xllli/li (La); Vole-(ta "Measure )QaaéJ ég‘DCac) abv1ausl~4 mefig Parabola arm: ‘qgu‘aafilfitm 45w ctr“, atofiw‘aé‘ alwm Do wot): up a \V 9 n ‘x 1‘ , 'Tt: heath +7 $4,513: r \ 5.91.33 ‘ Mm? given-aw: 3‘: h a” W T§!21-59 ‘ lfi {#9 *l‘au‘w +m parfibsfr~¢a await; O Pf #9 . e ~. I i. ,7 19: ‘4“! p "‘3 l O A, 3‘ -_ ; M49 M333 C 1, \x' if g at 1") F A. gar; « 1, x (1.14»: 1 a s a. \ ‘5“iqr’) 118* *S‘QUJ dwzy aft?” elvrifi+€t12)nl«sc l ‘ s _ $-35?“ .t 35/2959“ 393‘ m a 5 “"t m... *S'pr 5' r E 5' u WW mg a insamammmm ‘ F52. ‘WWa-gawuwamwnwwwmaw :nmx m f, " ‘1 C‘sCevfll/sws‘ooj d-ac (ZJA -) f 'nrv-a v s) mm“..wa ‘3‘ 2%90 TAM zmmru‘, an“ "re-31‘13 SP 1003 TAM 210/211 TEST 13 sprmg_2007. ° N’ 9 Q3 A technician is hanging a bank of lights of known weight W from five separate cables as shown. (a) What would be the tensions in each of the cables in terms of W? (20 pts) (b) Ifthe maximum tension in any wire is limited to be lOOOlbs, what is the biggest weight W allowed before a cable falls? (10 pts) EM! 1 18m“; 1 . w. ","x’il‘x *' ‘1. ‘1’»: N 29x20 .- Amofie ~ A5 {as HLSQ was 3" _ Willi: .2 ABCos‘isé {92w came“ '5 0.816.; MB €51,ch : AC;1«’%0°~=AE§<M%§° ' W . :3 . _ e32; 0,811.: he gnaw” *Prfifilfl“??$ -rw "9 Ci 7? .1..«~u~;,~fiammrm— Hi. AC7; £91819 (o‘cfi’.%¢t‘%-evjtiw‘?3“”’2: f‘ gang: CE — fizica‘s’EOQ CE“: essays/“gassing but £513 [NW-WM ’“ 1GP“. geese w; 9 Fe "’ o : C D — A C gi 'n so ° CD:- Lb) (aw ® HM,“ ...
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This note was uploaded on 04/19/2011 for the course TAM 211 taught by Professor Staff during the Fall '08 term at University of Illinois, Urbana Champaign.

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2007Solution - TAM 210/211 TEST 1A Spring 2007.

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