strain matrix [b].pdf

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    *rr"^rt*4'\41-i L"l , il,^^rril eat^nu^0,. l!;W hxl,rfurr.-,- #,,- &,ry fn^^f ; ili Rlr^^ r;,f uxLtr- 4,e

    o4-4L= N, d( +fU-tt, +N3 1t3 +---

    - ,

    tJr,u4- ^Lt,M- t --.

    At\Lfu; "6J*L

    tJe n^A^^, W'U; AX*a;^' @W)'A.oL.J = LBI t{

    ,Y*.--BJ d s'F;'* o* *{ tr d'tt;.d-exvn^"P y'\'v"r'I\ /vv\ $J - ^N\d*.l- Aqa^r"*r* lv\il;x

  • 3uA^* bJe- //\s/v
  • eI] LrJl,[- rLL"' Le:

    Fr

    iSf^d-

    L-ll.'. tgl wM

    t*sd/-W

    .,, P ,*^)-

  • (l,uD8",-)- o^adz ha^ fi^^ e.q**, +g,D,ry b-*+$a,r"*;w

    Jrt- ,u,e wvvtsap!- k4L- Qt* ALx-+

    ^=Y\.t}: e++a.sx_+"i.f_

  • o2A

    - .^. Ltr

    -

    Qt + A-*t + O= U,f4=

    = Ar + q-^t> + O, ?r_tu13

    = 0'r+Q-?Cs +asp

    S& d, ^""Af,"r, Y,

    LlJ=L: t,:,gl UHjLl |il"l u

    Lk A ; U; qrve +'t'E A +1^'*dddvu* I ', L I"l =I , 7(3 J=l

  • Q[--'t"j[td'-u,k,*,

    .:r{"q Y{[}fqH

    H=*F;PLe-*-)

    gr)'-*,J=)U,-u)e-u)

    W *r =Q% -.^s[) ,, (,-=frU, *{,9(3 =St-e-u,e**-)

    1,.-U')I3,_-Q,-u,)

    1- -=e -x)k

    ) F.=G,9t1, {,-t,Fr4, T,

    u =L e(4,t"" &;"r-

    [xt ]

  • ao9 Iu]J-J- 4L

    hr^"*

    l^,r,r*l

    rU=

    * prt+F

    N/3

    o

    $=

    =lb Ltl

    ru

    1't) (N-+ p,c+7"P\ tu(wwf2A= N,r Ur+N.\tr_tN/sMsN/r= Xt lFtx+Try

    0{nN''

    = (r* P=* +T.v_____ 0{a

    laN,0,+Nt NzOo

    Nl- rll -f fr,s q3

    oooNt A/- N

    >lN"ie =DrrEx-)t>5;{)tr + D^>.tr bx-

    l*tIu-lu,g1L%

  • F.oF.oY*o

    1 Y- F' l, f'

    I'vvr v' t L)' $rfi;t fr'L tow'ee''*-t-& il^Ai* tA ea\/\Af^'^Jr u\lr7'wr"^ A l

    o

    Y

    P'

    B'

    6:LB]: h

  • Q. l;L ilL /t^.,n6'L yfu ar-,UrE po^,},t, POtA pl"*.*v

    b 8, tz)-r/

    q(r =4 t ilr=8

    '1C-> rc i Fp5'/3 = B; [e=lr

    A=I

    *zlt F **T- t d'-== *, Y,

    F 4"t,('- lox t)-- 8x5 = Be>N,z= 64

    -4g > 16(a= 2o *Bo: -6oc(r+d-*4s: Bo+\6-6o.., A: \8 Y 'v,^"'q

    ,0/S 9r,

    -\ t[= 8 a;q

    b- t>)t-- i Ct o-8) r r+ t(t2o^4oU

    *=Ur )=*'

    x_

    --y.(r

    =

    0u3

    1

    !,

    > 36 E- zAt

    at

    p- > l"- f, =

    ,Nk-QLl =

    6

    '!,o

    ^d'

    h-t! il

    o(l(-

    \rl

  • -* N, = *Lu, + L*Gz) r a(r)ls6 -q

    lv== *Lt+ {r++

    , U"*,ta fu", t Nr-f Ns o | ^ n.r- ^ )t *- q)^ ..t)zsW 4,,4!^;^; "h rrBd's 4t'tv.u-'ltst,% Nwft-v--* lud- ?y"mLSI'D3 Nts- T* lt^t^? v @@u@.\d.W*1n-\i- Nl: N, u, ; NJ- t/t' + Ns t&+ 41-= Nrs, +\'!=D. +Ns%

    Nr = A[",+*P, + lrl x=^6& Y=?Nr=