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Diagrame de Eforturi La Sisteme de Bare Drepte in Plan

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Diagrame de Eforturi La Sisteme de Bare
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L.2. oingRAt{E DREPTE ix -41- DE EFoRTuni PLAH . LA sisrEne DE BARE -> 3e ar,a{izne& nzle,rne{b C" . /,i,rn ,ltqie in .oo7ahrattt, , artPl e/tf/{( "ut>uqr"fut o("{rinb tr<.',rno"oa fu/ti .1?t r)w' elgohtU & *y'*'enb-&' ; lgoa" T',,+r' whn er,t' ;ntsw:r'tge'Y1; * llorfr*u"{e. ,k/t'grrrr''i N ,T, n; ,nrt e,4n*"/t4 /&r+gro&r"' /tiLrt, dz ,1. fn,iit ii(r/r;"^,h2h (zs"a d,, l"tni ,* ,/uu4"1w X , ind*-.tii- lru./,t a-o{,t'aunk ) itt ,Unhttt Ce g,>tuh;-/-c ,e{ {/l',rrryii''.'rtu,t;& . FtAn ' fsrA ailorti , Flu, A{ cLrl4,tiori atr**t .frZA : ,/mt'd /o- idtbdtne ui fu"fr6 /r7" ,&e?t4w'4ht i ,t'xn/t'"' /rrrr:o /alhisr:,+t ,7, tt qnymri/rrf A,r#lsiefae , Hro', ,k ,prla{i,,,:'*,i ,t"*',},,'i n*},/''1.':.2(t ,.,, )w* *t dn to" ,/erta d,t, i/rl',i .' t ,f"ar, ,na/,;Uk/z de' ,tatiur" ' iu n< cil't to"" /* /*t nnwa a-o/z W io"o(i H , /",F tule- + i)ef.i,rrr,2n;'rti) Lea-otiuy,r"c0? alt'n .b4 i fr"'itr? t;,i,ilqnr{rle I io/), ^ i ')' ':[{. u,t ( t. u * ua eurai,f/: at g /rr" L-'t'rr t r a,fzJ":,t-t'/,t"k,',& d';t, I I : 4 ,, 't I i {,?tu t1x /*2"4'L: t)i t,{e /'q.w 'Lc ,an ,k|ltitr, oL LHa <- =+ Hi + V1 +Vz --* L cz ,+fu !r-' &.",ti ;t efu z/r, ,fu' {{, , k : d en c .-i ,k hL, ,.,.3,, d-/,t+ r.:ntrolazui ,ia{rt"', ,hrr" . r z z I F Iut =. ' (Hl Fi" j"tr (v !\ ) -\r (a)=o *) H{ =+ Vt :o lt1{ t 'L ir': ![.1)'t1 ,J t:,i, t.- {13 ,l rt f F(*r= o I l11ry=o I f"i(nt= 9 tX^ ^a:{tfrD+reh ot 4*la"uit'r a|e c/ce"h,,'u'io> n<c/tene* k /rm<n,*i *tjru"*.o, a&ylrm,,*(u;' d, ,furtc, . )
Transcript
  • L.2. oingRAt{EDREPTE ix

    -41-

    DE EFoRTuniPLAH .

    LA sisrEne DE BARE

    -> 3e ar,a{izne& nzle,rne{b C" . /,i,rn ,ltqie in.oo7ahrattt, , artPl e/tf/{( "ut>uqr"fut o("{rinbtr n

  • {d> Do-ci at ,ue}*'ww-*i" (*u/, .w.tu*axnfr, b/o-an ,}"rC in /,rrad"af*.vtdq.r^Lfu/e a ,n*dt*&a" , uhTd%:d /b&a'& +rr&'arrnfu c,aLuyhurnihrzt* i"f,*+w'fteo, */rL'/r{-/ nw.d,/,fu*; ;

    t I -)rlI

    -

    l-.-l't2

    Lttl4- - 'Z

    N4-M! !4 * t 'Z

    t**.45.',.

    Rqu{H. cdft/,.; i,h. ,ffizut 'lvArtse daqewalz /'szh rtxioL:' ahl>t o lanl, a+ iuL,p2*i r, .hrfr; ,hi,,"'iaa4x o N cu,4z#t' /*,i

    "'"I frr*1; im ,rr,o'o,/r"f"r( iq,urst/,,y2 o[- /c e ' /aA; e,il (Ful ,ut 10&- ,fx'c;ro;ia{Cd /,i}; (i" *wt ,ntpr,ru,odla/}rnoswi#o? at Voanri,u;fr ./rojd +w Muz ,(*ryt h.,na"u/ mrerlnnt ) ,

    \kr*Na

    'PROBLEIlE REZOLVATESd ,rz {rn +eae ,o,ia4,ta**{): fu ,/fr,+/.a.frb

    t zn'rai*ahe,{e. ,it,fa,rr,'e ,# irl^. : '/. I r

    u:kev,a.k ,(1],7..rt)/

    fv

    c{t trnelafutt'wt

    I, F" = g -p H.,, = 2o.4 = BobNX f1rr,=o

    -D'

    -v 4 + 8c. r+?0.4.\ -20.3 = cV = 25 i':Ft

    S-' Fa -

    -\ --NL_,r r (4)- " -t/

    -\/2.4 +2o.{+20.4.? =cY r-- 4t ler

    zohu F.E

  • L-z xe fo,4r'rlN[x) = 25 huT[x)= Bo-2oxX,(x)= $Cx-2OS

    L-

    5-4 s c [o,]"^lN(xl= *45hsrT(x )= oM.(x) = o

    "1 - 3 ts tr [o, ]r.,1tl(x1 = t;T(x):-4EhHYl;,(x): 45 X

    -,16-

    l_(o)= BoklT(4)= g|l(o) = el'1ig;= 46ch,t.*

    Yl(o) = o11 (j)

    = 435 hu.*

    D*ri w ,*ct'u\er.,t^t"zi a..r.t":rtn,,-r[ fu ,,*r, i.u ,tpttur,:/ul 4 ,k' ,lt irr.oi.r*i.+r*;*i. ) ; n /. | / | i: /u ), f I n/:,tla 4- 5 , 'c.12{|tio,,a iu. .f>r.tncat, 4 frn,w/rot' fueiht * /* Lriza lrr/rlr,ttu

    .J 4a f t .'1 /, , t ..1 :"1r" /- ,: 4, .! I, J. ti l, n , il- ;-f{,)"'-,1"e"' /*e tit.t /.C>ti 7*4

    "I

    *,' nu;/r"(; ;orrj; /"+rp. du"a q.,an 4vi.rto dirt/t(i

    1+7w1p /*,a .

    M"/r'gdu|e/0

    A? ,eo,

  • @lhtrl

    - 44=

    L4mlu.

    Y11(o) . cXi(I )= bC hnr.l^n

    25 ,,

    \-z 3E6[o, {""1' H[x'1= e

    T(,{ ) = -gokHM(xi = 80

    a-3 x Qf o;z*lN(.r)= bohuT($)= o

    @Ihu.*l

    ?, \-.f *11 -F\ tl -n./ |-t,,t- v -t- | la - w,LrlJ l

    f m(4;=D:p Y3-30,4,?=c^^,\1 = c'JieN '

    \- t.zt -/1 N \/ 1 I ar.\ /,L. L'L1a;=o :D *%-3 +3O'4.{=C

    V_ = 4oftrldZ-

    Mi(*)= 8c{a,il.'}'1

    4-r EeIa/n^lH(t)= oT(x)=-4ot30x T(o) = -4ohn

    T(4)= gefeu

    tHl

  • 3 4nr

    H.r

    --r

    _4s_Xo= /r33"t'r-

    L+3c+ Mi(o)=oc Hi[a1= 8o &H.*fli[lr3]) = -zG

    "Ghrq'v"'"

    l'kx *l

    {

    {l%.

    5l+n

    6

    lehH {

    v4I=+

    ill',{, (rr'l \./ K/ l-l

    1l I-.- F-l t,I t4 i*

    L-.1

    ' '4 -

    \./ i'. 1' t

    *3C.q.2*48.{A^ l\

    "/ -

    'Jl RFI .

    "i

    4./!-48.2=o^^ 0Vz= ZU Rl-i

    thxl

    I f1g) =c =+ -\v;.3 + 3c

  • l-? E e fo:)vnlN(*) = -92'lel-lT(x)= -'i8{
  • -20 ^

    [{ex.rl

    ft*t= $ x3

    it'I4

    4

    Z Fi*-,1= o

    Velr I X(ut= D +>

    Z Ylqr)=o =+-Vz 5

    - zo. {,5 +N m }(t3)=o

    Vz = 5 kr-t

    A+ ;3o.3- 20- Hr =ZneI

    H I = 43 nH

    -V ) +* 30.){+ r\ - eo.,t,s = sz- ,3'-/

    bv'rte -

    V,,=5br1

    5- 4 F e'1oj4,5ry^lr r f \ ,*ll'l(*)----5RH-rl{.{)=uM.f-\-D'

    r"(\xj -

    \

    J.rYL

    lrd. r1l+ 'Ijr

    777/47

  • 4-: x e Ior,l,5lN (x)=

    - 5hn

    T(x)= 2oftqMi{x)=

    - Zo:e

    Ye r a [o.,]n*lH(*)=

    - 2o hu

    -f(x)=--sknM;(+)

    = -- 30 + 5*

    e-t Ee [o,]*,1ogrreve-riE1guLwL",dr ,r"odh,rrln ^J t ^

    -\2-T /k 3-5 ) ,,a/ra,4*^ r )u J irt /,t"ry&Lln2"4w.A. :

    2oku

    _24_

    I'l; (o) = IM;(rr,s) =-30 hu.*

    AJlJtn f>unc{,u(in' 2 ,MnI

    Il"ti(o)=-3Qh+t.""tmi (l) =

    -45hu.r'z

    2 , nfr.r"t"idlQort'r,rt'&

    H(x)= 5foHT(x)= - 20 o rnof ')c-f(x)=Q :N Xo= 2*"

    ,L J", ^ t, r,t'l f/ nfzila,[,a- /14^?kpfr1/423 ( btW{?'t*'*o;rJ &rit z .de ?rv,Q

    'i\J

    ftr)=$rTfo)=-2ohtrTrrr t ^

    -

    I , ,i[5J= Z3 h:Fl

    M[t)=*{5+2c --(i 4cx {) [3 -)X t")- --'{5hu.*H(r;=en (.) = ,lr,l6 kH .""

    \5kN.m

    4H,r

    i'*H .1

  • *z?-

    i[H)=o =+ H,r ={ofout F,,.,,= o --g v,l = 40+ 2o-2 =5o&H,_ , (V)

    l1;(p) = oMt(o,s)- -_ 5{ex.*

    Z,Dlqey=o-s

    It-Z .*C IojO,5.)""1N(x;= oT[x)=-4okHf1;tx)=

    -l0I

    2-b Xg Ioro,'i.,^lf-t(x)=-'loi:ttI-[x; = ef1;{x)= * 5 *

    *40 3 -2o +4o. o,5- 20 .?. t'5 t HnXo= 4o5 hu.tn-

    2O =-ZS L ru.n*

  • *21_)*r.t tstfo,S,*,;{*l

    H(*1= -

    to hHT(x1 = 40 LHMil*)= *4o(:r-o,s) *25

    6-5 r e [o:Hq*1=

    M;fors) = -

    25 ie u.*,M;({ ) =-20 /pu.""

    or5onr'l

    -4okpT(x)=

    - 5o hu

    M;(x'): --{05 + 50xM;(o,s)'=

    - Bc hu."^

    5-q f e Ic1f,,,., 2,5.,*JH(x)= -- {o leuT(*) = -5o + zo(x- o,s) t!o,5) ='50

    T (2,5) = *{oIl;(xJ=

    -4o5r5ox - 2r !\-:,u)' \ /z Mi(o,.)= -

    |1; (z,oj **

    -_%,_]:*r ,.,

    Mi(o) =-t61hx,*'

    i* lrkH

    I o hu.r.".2o kN.,lr"

    \:/I

    il)II

    ri 405

    80

  • ]--24-

    PROBLE}IE PROPUSE3a ,Ae t+nteze .d,oaWr*h de oq*'"t'e ,o-&o-/n,, t, j- 4n^ : /'- n'"/rdu,"r./o *o,,/' /,n

    ^ o i

    t/srt'u" fu ,urt"or,rzb/)polw lilrh;teil.or,tedi*ttnz ,,/z /a't*j ,obIR KNIVIil

    2.^

    p_../o i\.N.?vr

    4"rn

    L.4'rn

    44ta

    o.,^trNCU.wt 4oktr

    3. +.

    R\r.

    46h{',.

    6.

    B.

    {2tu

    %H

    20H

    ^-[Zl RH.Tn


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