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## CIVE 260 Homework #1

by: Nick Krekeler

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0

11

# CIVE 260 Homework #1 CIVE260

Nick Krekeler
CSU

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This is a walk through for solving for each problem from Homework #1
COURSE
Engineering Mechanics-Statics
PROF.
Daniel W Baker
TYPE
Bundle
PAGES
11
WORDS
CONCEPTS
Math, statics
KARMA
75 ?

## Popular in Civil Engineering

This 11 page Bundle was uploaded by Nick Krekeler on Tuesday September 20, 2016. The Bundle belongs to CIVE260 at Colorado State University taught by Daniel W Baker in Fall 2016. Since its upload, it has received 3 views. For similar materials see Engineering Mechanics-Statics in Civil Engineering at Colorado State University.

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Date Created: 09/20/16
crvE 260 - 0ol l.lo.n.,roo.E * 1 '/u Z-B) Dr*r,mioe tLc rnq]n?41,da.o'f F q,-td i4s di.celion O, Q. bo' in =500N AB= rr.LL +?IAg ' 65o xt Bc '5oo 0b t(8"= 5oo xJ rqf * II Lor,.f CcSint.l 5OOr.ra | ,, b\$O r..l q2 =a,e *b" - 2c,bCos Cc) o '../ Il " * &.tlol S;ne t o) (n) Geonre*r3 € Sin(A) - S;^ (B) = Sin(c) !t be E @ (! C (E c .l. (Soo)" ,-(bso)' - 2 (soo)(roSo) cos (?5") c2 t "?3, b"YbB cL 3b I, Q= 1to .ltBxr (?r1'' fsro)" ' (bso \-- z(soo) Ctoso) cos (ro5') ( -A'= 8'ro 132-31q3 rfr = r''s'z IB { -ilnc Mogni{wde i J "f 1tto.llyL Sin (trcs" ) 5i",(o) p = 9la.iryb 50on-t 5oO Sin(toS") r htg*t t.{bin (o) ::I ltb"1tqb ? tt"-h-ft, o.52"-) I Sin-t (o,szt t) = Q = 3tj'tE' 7he Direefton d pJ i*r Vreleler Crv€ Zbo - Oo I {-ler.",qt,co.L 1 z-t3) d(Vx (B) Fo'.. Coerprcncrrts arrol Al..L.* =V"osG * Vv =Vslr.0 Vp4+ V.1' rV J G66f Csoo) cos(qs'). # q) 1 5Oo cos(.{5"= vr + sSS.55Jy r'.r LlJ o (5o"2 S.,.i.tS"= rlx Cradf No 5OO6ia .w N 61e"," Vx ? 353,553Y ru t G (oso) (boo -\ (.osoT IE cos )-- bff (t 65ocos(reo') LL =-Uy + -3ZS ,tJ \$ bs6" bSos?q (uo") U* => = s62.?/6S r\, *AAd Vx's o".d Vyrs: \x. 353.SF3Vu * Sbz'?ras r..= 9tb.lbjg ru {y = 3s3.ss39u + SZs- = ?B.SS39xl *tJ= r,r'uy" v= J (1*o.LG11.)t* rrr,rrr : 1lb.1t'{b F., l<a1nilwo(e of fg Vr' J 28-5t3t t'' ?t.ss3tr) -' loq(x\ atra-'{(ol9 Vr'llbi{tlt* to.-r(o-o3rls\ = l'-Ito x :\7, 1o'- 1.;18'=Xt.?2" tt.22, _^15" = 13.22. r@ -T[,-]ir"clion -Ool o-1- t/tt ; !i"b F*L*l.. Crv EzbO Ho,neuJo'I. z- 37\ *t-,e rnagn'rfuJ3 reSul'to"nt of '1".c Fl meo,soed qoer\+a-c[oclcru?st-4.o,-rr '-75ort +h c p.Si+". 1-a*is. F Il o @ lc G x (g s to..'g) =; - {o";'(;) = o\s t o: 53.t3' { Fz=lo2Sxt -rlx E '3so r-,, +.Vv I tr.,rt, = --r (ys.1 ,-Ux + -530.83 r..r L*t * rSoro Sln H,ft, Cos(oo-)=H + G25pcos(3o')- -Vy +--51t.27n: L -{* + -3l2.Sr-r lx= Si",(3o.),#^, * bLst)StnC3o")' 'r Vx'=+ btor'l I*,r,.",(ss,r3'),S, ysousin(53-13') ' ?5os Zi. -530,33 n,* -Slz.sF, *Gto^r = 'lta?'83 xl 27" = 530'33ru r -\$ 1t-2-7*+ -slo Ar i- 52o'1{rv 5{5 Jr ttt rTlx,-fu& Y-fl- I tr'(t'=#) =o I ?Y''t'o'"' +ltoo r W D-<cf, -Y "*.neo.so'gJo'*|c'cloehtoise -ool 1/u rJi.r E,eketer c av6 Ho^n.u;o'F "H z-lt") 2 laSox) ^bo = .E pg=\$QgN 5 o 3 uJ o ao aos,;l't6,6l&oet. o.ctioe'x 7 t on rha o.ton9tlaz OOOd G r.raxiS,de*c/cnine'fh.#.re (! ra*la;.J."FeF oqd ils s litdcl-,d.-, il 'l. \, \i=sooN 'L \ sin(o)= 3 3 eo.-ss-(3.,3(,.g7" sln-'o.8) = 55'l3o"O avv '-t'(a5opC"s(gt''tz') Vr = 52o xr [V: [os(st,.Br')uA ' a= + (s''trJ'-vr = -3R0 Fr I u ,srn (3u.qr'= ]l {,s0" S;n (vr) -Uy = - 353 'Ss ru f Yrcos (qr) ---vr --+ Soop Coc ' =- - ( 5oo r.r l* ,,r.,(ry) = g ,foor..r (ts') = Ux " 353'Ssts 5oo* r,= f Yrsrn (s) = + -+ E S.,",) = vy I t1 \ k'ao, 116)= vr -,, H *r(/) = rI* fl -+ boo"' Srn ('{s")' VY = qzq'Lbxt -YL= f Yr6in(,ts')'#- ( ',T* .lcos^tfTs')= ux=lz\',?lorJ (*\ I x,cos (q5') = #o.-, * boo*J il ti. .Ssr*r. fl cos (d) = 4z"t'2b --, Ll?'l'Zto fzo* -353-55r'.r * F, sin ({) = t*J zq= '# p-Ji.r Ynbele . Cave,2bo - ool H o*e..so.L L s/n Z-Llb .6e,.,fi6.)aJ -s - rfCos(O)= ,l2rl.2b r-J Z F,.= 3r- 'Y5- +3tr"Y5nt +3o-Y5 ru : fl cos(O) . 'li.oO.1lN --j -\ L lr = ltob.ls r-r F, s?n (g) = LlT\.2b F-) l1,l -lbr".9sxr o -lbro,YSnr o .S NN = f,5?^ ({) = zs1. ?, tl ^r EG EIE a 1!'" ol E E ^nay",r-lrdc -(E '1. V;' 25'7.81r.) Vr. Y6O;.II ^r P The dtrcc*on {=, -l e5?. El r-, / zst.tr"r 1 -to.n YbO;?, N {,,",0) = l q,,o,r^ / O = 21.L3" - d b Ji.r V.elczler Ca,v€ ZbO Oot f{onqg.;)ork L /t, Z-)o) 1I,,eeom is S.rbiec4<a/Jp -tl'\ir-roStres Sho"on' 6xprcss .*ch h.a-. in Cartesion uec+or 6.'-' and de{er-iog +hc nnqq"iifua& o.aol Coo"dinq'te Jirsc+iDn anTles oF 41nL ,e.SrHant ft.rJ. t].l a1l tjso o o --._._-=--* t -----x .E \ -7 rlt \ G = {. qfttt/f|rl, (.No?6'.Porsri\re^ )plcoet) pUec*or 6rn, 6. -f, -.r;1r<t{o-J 1 21 ll = b3olt (o* r bs(o) =-* Z\ .J r l1 b}CtL ( *r -Ev) \ P -J Vec[or Fo".",#. 6- o'l + (os (tes'), + cos ct"o';=1 tz zsolb( co"sct i + L LSoIL ( o"5i -o,1o?ti Q.sA) .J C tlsi - t-rb.-?8, , tzsE tL lr ?r= -,1t,.1Si - boq.t ntzs p H "i ) tzsinttu,qi t -'a 'o .3t -,{11 fp = l25L i .8 a lb MogJ,.f,JeoP Fz I (-'t11'x .1151 .lb / F-t = J ,,.5lb\Ltc-o'3r,0t)Lr lb\- {15 * pJicb Vr<)cclo, ca\)e 26o' OOI fiomer^rork a 11,, 2-1o ,gon-+io.,t)y' \ Ca\c.,to*o3 4v- Coo'Jino'tc drrec*on o.nqLar "f F; I t t2s'8L \ &s(o), (ffii,er) & = Cos-' (o"z=szt) F) IJ ns.0L c: -J5.31?t o o 6 !c E.E / o3g.0L \ @E ,1qs.g1n a Cos (6) ' \ 4,) -G '1. -r (1.,-uqt tg -1 b= CoS " ) \o: 81 .q561" / - 1tq.8 /, \ Cos (c) =\./m-j L. Co s-t('o.1b??J C E 1b5,3??f" tt11,1 - .0b c/ra,sr\ -t',,otalt/ * Jrcf Ere heler Crv€, -oot Ho naeeoo"L 1 ^bO r'nag'f,trrdonJ.di.egfon oS tho.rn, d<*erno',oedaa rnaqnir\.lJe o.nd 4te coordiqa+e direc{r'on anetes o f 6 .cee *" " J tF,go nt v 5tes d 3: \ .fl 8O,.r i_- 9 > ' I f?. l'Lot .} (rrNovec,lo-o,i?* ol-rXoxrSa/ F7 ,llo F, uJ1l ,5 a 3 fs = tzo JJ N Sin(@)= ! <t p= 5in-t(o"V) J E CI=3b.8J" f3 "? @QE (q G ItOFr t -fr= -rtgi N 4 z( >) X: Cos (3b.t?o) =#, 8os Cos(3G.8?') = 6Yr..l (=l N Z :Sin (3o.Bt'1, ** + &^r \$o (3r.Vt') = Yg ofts{ggion a -) l2On,si'-.l5') 8'1.?s ( z, sin("5") = lZOll L--..'-^,a -(l xY -+ cos(Ys") 8Y.85 p tL =1lxY: cos (vs')= lZ0xt l?oxt I x1 --+ = 1( 57n(30") " 8{.85r, g{.tsFr\$,n(3o') 13t'.1-3* ->l x: f,.=1 Y -+ [{'95r.rosC3o")" E'119, 5rt Yi Cos(3o';' f,c('85t ,lz.,l3i* * oCq*es,rves{rr.F".*rr: = 13.YBi f'/.rSA J,5.5-> For I = F, r7r*TZ r.sotw 7 ?r-Fr 'Fr - FL: -5 --s -) -i ,3 = Q- F, ^n +1s,yl.i*8Y.8s t -[t, i * t{ti ] - - ilotr = 1,tt.\${ I = - 2t51; r13,qBi - lr.tb.8a Zbo - # 1 >Ji.r k<k-4e. CTv€ AO( Ho.oec,Cotp ,. l,r 2:18 'con'lin.)'cd 1?-L{g G = {-zt 5? , , rLrto.?> >-(he ,',7xa-de ol e t-qr = : llas.b, 85 N F Iu \ o.) Co\c^r\ohnq frna coord?n ate d?'ec-[to.'to,.nyles '3 o J "'C si / -zt.t?Nj \ .aG Cos Ca.\=( rr-rr", ) Et IE 'rr'q Cos-t (-o,l3oz) - ^ ' * G i 1?..{t3y" * ?1.51 t-t / 13.18 r'\ cps(b) =\ lbs.a/gsA, ) ! = cot-'(0.v.r3?) b= b3.tobll' 13,.ft ", / 116.8S"r r \ ]u-ErGt) cos(c)= (O,Etb?) e = Cos-t c = 21.s?/5" l9{a,5xl s)oz6Thcsa *.'.on7tcauriTs a't- no* dro-cr. tt> a.cle/ #L to/,, Ji.h F.ekeler Cfv6Ttoo-oot Ho,-," t^sott z-qt) De-ter"'i,^ehe mc^qailvde ol sf +lre ,.eS.rl-Fqf\$.cc o*"J le Ji.ecfro'\ anTles (-1,s,-7.s,B1 1(-t.5,o. LrJ o' o 7-"lSo.l st IE ,,,\ .e(E s (0.s,r,1oA ? - 0.t.. t I F,n*1 -theCpo.Jino*.s o,l A,B, ooJ C A(o.5, l,S,o) BGt,s ,2.s ,z) c G1"5, o.sr 3'5 7^B = (-r.s-o.s)i+ (?.s-,.s)i* Cz-.ilt -tA/,\r\ uf+1rY .JE, rAB= -21 -li*Z? ) ltsl = JGAz.Gr)2+(tt sm Ma1rtfuoU -> u4-- oft,.{ggicA6."o: l6 = boOr..r' UnB *[ ;i. +; r\ F,\ -z ) -3u i+ 2 -Llooi-t zOOi n'{ODP Fle.:ol"rs 'G = boo* ( 3 " S")= (ac (-l.s-0.5)t .(o.s -(-r.S))j+(s"s - o)A F,t A r.-5I (*c , -2L" Zi * 3.5r + lce"l = JCrl"*62,1'*6.s1L' =w, r+aaqe.&. ' I,Srn" I UAc= .*i.#l o6o.fgsian 6.."' f. - 4l5o^r. (JAc *i ,\^ = ,lso^,(--+ i . *, -# ;) = - zooi + ZOoj *35O P Ne,*rtons i - Oot * l\I Ji.l F,ek-eler cavE Zbo Honn.,,oo"t A /tr . 2-11 co.rHn.red) ,F,nJ'toq 4ne Y?sdl4ont &*. (f,f J) -r + J fp= f6 l" A (-?ooi *z*i fp*= (-qooi -?aoi " 'too[ ) t "gsoi 1 o 'fo= fr*15o4 N,| IJ -bootr*Oi o r-5 , @ = (tsalz = * 5b2,5ooN !t maTnih,/c' Jf+*D" *(r)L+ JJQ0,ooos (E .a 1bo,'lbtlo *t s =E Trncona7c,*uolcF tl*'RcS.,I*'"7 6,'u- * /-bOO'r \ Cos(*) = tim[il; ) * = gos r(-o,t"z{r) o!= 12t.b518" Cos (b) = \'ltooYtr8bp/ t=: Cos-l (r>) / lso"' \) Cos(c)= \qrrO.tb8teru) i"y "-"o C =Co,s-r(O.f tOt ) '<n*- 15P ru c = 38.659g0 rhcse -l-rianTdm^sinys are oot dr**^ -h scele"/

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