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    THUYT MINH N

    THIT K KHUNG NGANG

    NH CNG NGHIP MT

    TNG, MT NHP

    NHM SV

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    THUYT MINHTHIT K KHUNG NGANG

    NH CNG NGHIP MT TNG, MT NHP

    A. S LIU TNH TONThit k khung ngang chu lc ca nh cng nghip mt tng,mt nhp vi c!c "# liu ch$ t%&c

    nh& "au'

    ( Nhp khung ngang' ) *+-m.

    ( /&c khung -0&c ct.' / * 1-m.

    ( 2hi3u 4i nh' 0 * +56-m.

    ( 7 4#c m!i' i *+58 +9,:= 5;;,5-"in = < .;;:,5c$" =

    ( S=c n>ng cu t%?c' @ * +6,:-TAn., cn t%?c lm vic t%ung 0Bnh

    ( 2a$ t%Bnh C&Dng %aE' ;,9-m.

    ( Fh>n vGng gi IIJ/ -Ca CiKm L>E 4ng' Ngh n. c'

    !p lc gi 665 N6:,+N+6: mkNmdaNW ==

    ( VOt liu thPp 22TQR c '

    2&Dng C tnh t$!n' 66 N6+N6+5 cmkNmmNf ==

    2&Dng C chu cUt ' 66 N+6N+65 cmkNmmNfv ==

    2&Dng C chu Pp mt' 66 NQ6NQ65 cmkNmmNfem ==

    M$Cun Cn hWi' 6R6: N+5J+,6N+5J+,6 cmkNmmNE ==

    ( /X tng mng ' /+: c 6,: 5,: bR MPa kN cm= =

    65,9: 5,59: bt

    R MPa kN cm= =

    B. THUYT MINH TNH TON

  • 7/26/2019 n nh 1 tng

    3/62

    I. THIT K G!

    Y gW m!i chu t!c 4?ng ca tZi t%[ng tAm m!i, lp c!ch nhit v t%[ng l&\ng 0Zn th>n ca L gWJ

    )p m!i v L gW C&\c ch[n t%&c th]$ ti liu ^ F%] _ `ngin]]%]4 /uil4ing" ]"ign ManualbJ Sau

    C C&\c kiKm t%a li th]$ Ci3u kin 03n v Ci3u kin 0in 4ng ca L gWJ

    ( TAm l\p m!i ' -"ingl] "kin pan]l". hBnh 4ng tAm l\p m!i ch[n nh& "au'

    2 c!c thng "# kd thuOt '2hi3u 4E

    -mm.

    T%[ng l&\ng + tAm

    -kem6.

    Jtch +tAm

    -m6.

    TZi t%[ng ch$ phPp

    -kNm6.5,9 1,:; ,Q; +,;1

    ( )p c!ch nhit'

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    200

    60

    1.75

    ( Y gW ' Ta ch[n L gW hBnh chf ^ ^ 0Xn t%$ng v 6 L gW hBnh chf ^ 2 b ng$i 0iXn nhm

    lm tjng n Cnh ch$ m!iJ

    HBnh 4ng v c!c thng "# ca L gW chf ^ ^

    2h[n tit 4in L gW l tit 4in chf -l l$i L gW C&\c ch t$ t thPp c!n ngui.J

    Tit 4inIL

    -cmR.

    L

    -cmQ.

    IE

    -cmR.

    E

    -cmQ.

    T%[ng

    l&\ng

    -kgm.

    2hi3u

    4E

    -mm.

    in tch

    -cm6.

    TZi t%[ng

    ch$ phPp

    -N.

    655+9 Q:, Q:, R;,1 9,5+ R,9R +,9: 1,5R +1,RR

    Y gW chf -655+9.J Y gW chf 2-+5`S65.J

    Tit 4inIL

    -cmR.

    L

    -cmQ.

    IE

    -cmR.

    E

    -cmQ.

    T%[ngl&\ng

    -kgm.

    2hi3u4E

    -mm.

    intch

    -cm6.

    )

    -mm.

    +5`S65 R;+,9 R;,+9 9Q,9Q +6,+6 1,++ 6,5 9, 65

    ". T#$ %&'() %*+ -() /( 01 )2!

    TZi t%[ng t!c 4?ng lXn L gW gWm ' tZi t%[ng tn l\p m!i, tZi t%[ng lp c!ch nhit, tZi t%[ng 0Zn th>n

    L gW v tZi t%[ng 4$ h$t tZi "oa chfa m!iJ2h[n kh$Zng c!ch gifa c!c L gW t%Xn mt 0ng l ' +,: m

    1.75180

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    h$Zng c!ch gifa c!c L gW t%Xn mt phng m!i l ' m:+,+9+,:c$"

    :,+5 = J

    -7 4#c i * +58 * :,9+$.J

    a.Tnh ti:

    VOt liu m!iH "# v&\t

    tZi

    TZi t%[ng tiXu chuqn

    -kem6

    .

    TZi t%[ng tnh t$!n

    -kem6

    .)p tn l\p m!i +,5: 1,:; 1,;6

    Y gW m!i 655+9 +,5: R,9R R,;

    Y gW m!i +5`S65 +,5: 1,++ 1,R6

    /[t thur tinh c!ch nhit +,6 +5J5 +6,+b . Hot ti:

    TZi t%[ng t!c 4?ng lXn L gW 655+9'

    ( ) ( )Lgtc tc tc tcm m Lg 5a +,:

    s g p g 1,:; +5,5 Q5 R,9R 9:,5;c$" c$":,9+

    = + + = + + + =

    -kem.J

    ( ) ( )Lgtt tt tt ttm m Lg 5a +,:

    s g p g 1,;6 +6,+ Q; R,; ;6,RRc$" c$":,9+

    = + + = + + + =

    -kem.J

    3. K$45 %&6 7$ 01 )2 89 +:'(!

    Y gW 4&i t!c 4?ng ca tZi t%[ng lp m!i v h$t tZi "oa chfa C&\c tnh t$!n nh& cAu kin chu u#n

    LiXnJ

    Ta ph>n tZi t%[ng t!c 4?ng lXn L gW t!c 4?ng th]$ 6 ph&ng vi t%?c L(L t$ vi ph&ng ngang

    mt gc * :,9+$-7 4#c i * +58.J

    a. Kim tra vi x g ch Z

    TZi t%[ng t!c 4?ng th]$ c!c ph&ng L(L v E(E l

    T2Y 69Q9(+;;:n

    ptc

    -kem6.

    ptt

    -kem6.+,Q Q5 Q;

    y

    y

    x

    y

    x

    x

    y

    a

    q.sina

    q.cosaqq.cosaq

    q.sina

    x

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    tc tc 5Ls s J"in 9:,5;J"in :,9+ 9,R9 ke m= = = J

    tc tc 5Es s Jc$" 9:,5;Jc$":,9+ 9R,96 ke m= = = J

    tt tt 5Ls s J"in ;6,RR"in:,9+ ;,+; ke m= = = J

    tt tt 5Es s Jc$" ;6,RRJc$":,9+ ;+,; ke m= = = J

    *Theo iu kin bn:EL

    t4 L E c

    L E

    MMu

    = + = +

    c* + h "# Ci3u kin lm vicJf *6+55 kecm6' c&Dng C ca thPp L gW

    Y gW tnh t$!n th]$ 6 ph&ng C3u l 4m Cn giZn 6 Cu ta lXn L ngang m m]n Ct gi! t% ln

    nhAt gifa nhpJ

    Ta c 'tt 6 6 6

    EL s J/ ;+,;J155 J+5M R+Q;+

    = = = -keJcm.

    tt 6 6 6L

    E

    s J/ ;,+;J155 J+5M +5QQ,;

    Q6 Q6

    = = = -keJcm.

    qy qx

    6000 3000 3000

    Mx

    My

    S CW tnh L gW th]$ ph&ng L(L v E(E'

    6 6t4 L E c

    R+Q;+ +5QQ,;+Q5+,+ke cm 6+55ke cm

    Q:, 9,5+ = + = + = < =

    *Kim tra theo iu kin bin d!n":Y gW c C vng th]$ cZ 6 ph&ng tuE nhiXn C vng th]$ ph&ng mt phng m!i %At nhw nXn c

    thK 0w sua , ta chx LPt Cn C vng th]$ ph&ng vung gc vi mt phng m!i E

    2ng th=c kiKm t%a 'Q+ :J+5

    / / 655 < = =

    Ta c 'tc R 6 R

    EE 1

    L

    s J/: : 9R,96J+5 J155J J +,19cm

    QR `JI QR 6,+J+5 JQ:,

    = = =

    Q Q+,19 5,556 6,J+5 :J+5/ 155

    = = = n t% "# s vi *+,5R - vB +5m H*++,+m +:m.

    ( k l h "# kK Cn " thaE Ci !p lc gi th]$ chi3u ca$, ph? thuc v$ 4ng Ca hBnhJ k L!c Cnh

    hai m=c, m=c Cxnh ct v m=c Cxnh m!iJ

    ( M=c Cxnh ct ca$ t%Bnh ++,+ -m. c kc* +,5+ -ni "uE.J

    ( M=c Cxnh m!i ca$ t%Bnh ++,+ z ;tg:,9+5*+6 m -m. c km* +,5Q6 -ni "uE.J

    *5i6 theo .h78n" n"an" nh9:

    ( TZi t%[ng gi t!c 4?ng lXn ct'

    z Fha Cn gi' +,6J+,6:J+,5+J5,J1J+,5R * 9,16 -kNm.

    z Fha khuAt gi' +,6J+,6:J+,5+J5,:6QJ1J+,5R * R,; -kNm.

    ( TZi t%[ng gi t!c 4?ng lXn m!i'

    z Fha Cn gi' +,6J+,6:J+,5Q6J5,:J1J+,5R * :,1 -kNm.

    z Fha khuAt gi'+,6J+,6:J+,5Q6J5,R6QJ1J+,5R * R,5; -kNm.

    *5i6 theo .h78n" d$c nh9:( TZi t%[ng gi t!c 4?ng lXn ct' +,6J+,6:J+,5+J5,:6QJ1J+,5R * R,; -kNm.

    ( TZi t%[ng gi t!c 4?ng lXn m!i' +,6J+,6:J+,5Q6J5,9J1J+,5R * 1,99 -kNm.

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    E. *+ 8;(: F %$% $J( ng ca cu t%?c l khng ln nXn ch[n ph&ng !n ct tit 4in khng CiJ

    2hi3u 4i tnh t$!n t%$ng mt phng khung ca ct tit 4in khng Ci L!c Cnh th]$ cng th=c "au'

    :/; J=

    z Y!c Cnh h "# chi3u 4i tnh t$!n ,

    tx "# C c=ng Cn v gifa L v ct'

    c$t

    c$t

    J ++,+' +J 5,16

    J +;a ;a< < < n

    3 < 3 = = = =

    -giZ thit m$m]n su!n tnh ca tit 4in L v ct l nh& nhau.

    T%&Dng h\p ct liXn kt ngm vi mngJ

    5,:1+,6R1

    5,+R

    n

    n

    += =

    +

    +,6R1J++,+ +Q,Q- .;/ m= =

    2hi3u 4i tnh t$!n ca ct th]$ ph&ng ng$i mt phng khung - */ . lAE 0ng kh$Zng c!ch gifa

    c!c CiKm c# Cnh khng ch$ ct chuEKn v th]$ ph&ng 4[c nh - 4m cu t%?c, ging ct, L

    ngangJJJ.J giZ thit 0# t% ging ct 4[c nh 0ng thPp hBnh chf 2 ti ca$ t%Bnh zQJ:55, t=c l kh$Zng

    c!ch t ct mng Cn 4m hm, nXn m/* :,Q= J

    E.".3 *+ 8;(: F %$% $J(.

    2hi3u ca$ tit 4in ct h C&\c ch[n " 0 th]$ EXu cu v3 C c=ng v cAu t$'

    -++: + 65. -5,::: 5,9R.h m= = , ch[n h*5,:1 mJ

    Th]$ c!c Ci3u kin v3 cAu t$ v n Cnh c?c 0 ch[n C&\c kch th&c tit 4in ct nh& "au'

    cmcmt= .:,51,5-1,515.J+55N+95N+- == , ch[n cmt= ,5= J

    -5,Q 5,:. -+1, 6.fb h cm= = , ch[n cmbf 65= J

    =fff ttEfbt

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    6J :1 6J+ :R= fh h t cm= = =

    VOE ch[n " 0 tit 4in ct'

    ( 2hi3u 4i 0?ng:R- .

    =h cm

    =

    ( 2hi3u 4E 0?ng .-,5 cmt= =

    ( /3 %ng c!nh .-65 cmbf =

    ( /3 4E c!nh .-+ cmtf =

    200

    560

    8

    10 10

    >nh ?,@: Tit din cAt

    E.".E *+ 8;(: 8+ %&>() :(: :'+ +@6 %$% $J( +%.

    ( * :RJ5,z6J65J+ * Q,6 - 6cm .J

    +++= ff

    f=ff==; tb

    thtbht

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    1

    6+5595 ; 6 6R

    6 + +5; ;, f F E B B

    B = = =

    1

    6+55++ R: Q 9R1

    6 + +5* *, f F E B B

    B = = =

    E.3. *+ 8;(: F %$% $J( 01 ()6() 01 5.

    E.3.".?+ %$% $J(

    VB nhp khung l +m nXn ta ch[n ph&ng !n chia L ngang thnh 6 C$nJ kin C$n L gn g#i

    4i Qm, c 4ng hBnh nXm, C c=ng Cu v cu#i C$n l +

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    H(:E.E! T$% $J( 8Q7( 01

    R. S TNH KHUNG NGANG.R." SF 82 %=(:.

    S CW tnh l khung

    phng c m!i 4#c -hBnh

    v~., liXn kt ngm vi

    mng, liXn kt ct vi L

    v liXn kt ti Cxnh L l

    c=ngJ T%?c khung t%Gngt%?c Cnh vJ So 4?ng phn

    m3n SF6555 CK tnh

    t$!n, tit 4in v tZi t%[ng

    khai 0!$ C&\c tnh t$!n "

    0 nh& 0XnJ

    18000

    3000 6000 30006000

    11100

    D060

    2040

    Jo - n xL 1

    Jo- n xL 2 (M* M* &ay JNi * iM* Bin

    11.10

    ID.06

    I0.00

    D00

    12.00

    >nh I,@: 8 J tnh khun" n"an"

    R.3 C*+ %&>() :V %#$ %&'().

    ( Fh&ng !n + ' Tnh tZi

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    >nh I,@: 8 J tnh khun" vLi t#i tr$n" th7n" ;un C tOnh t#iD

    ( Fh&ng !n 6 ' H$t tZi noa t%!i

    >nh I,: 8 J tnh ho!t t#i m%i tr%i

    Fh&ng !n Q ' H$t tZi noa phZi

    >nh I,?: 8 J tnh ho!t t#i m%i .h#i

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    ( Fh&ng !n R ' H$t tZi cZ m!i

    >nh I,I: 8 J tnh ho!t t#i c# m%i

    ( Fh&ng !n : ' maLt%!i

    >nh I,Q: 8 J tnh khun" vLi %. /0c 1n" +ma;tr%i

    ( Fh&ng !n 1 ' maLphZi

    >nh I,: 8 J tnh khun" vLi %. /0c 1n" +ma;.h#i

    ( Fh&ng !n 9 ' T t%!i z

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    >nh I,S: 8 J tnh khun" vLi /0c h4m n"an" T tr%i

    ( Fh&ng !n ' T t%!i _

    >nh I,U: 8 J tnh khun" vLi /0c h4m n"an" T tr%i V

    ( Fh&ng !n ; ' T phZi

    >nh I,: 8 J tnh khun" vLi /0c h4m n"an" T .h#i ( Fh&ng !n +5 ' T phZi _

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    >nh I,@X: 8 J tnh khun" vLi /0c h4m n"an" T .h#i '

    ( Fh&ng !n ++ ' ei t%!i

    >nh I,@@: 8 J tnh khun" vLi "i6 tr%i n"an" nh9

    ( Fh&ng !n +6 ' ei phZi

    HBnh RJ+6' S CW tnh khung vi gi phZi ngang nh

    ( Fh&ng !n +Q ' ei 4[c

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    >nh I,@?: 8 J tnh khun" vLi "i6 d$c nh9

    W.C NH NI LXC.

    Ni lc t%$ng khung ngang C&\c L!c Cnh vi tng t%&Dng h\p chAt tZi 0ng phn m3m

    SF6555J t suZ tnh t$!n C&\c thK hin 4&i 4ng c!c 0iKu CW, v 0Zng t h\p ni lcJ$ khung

    c kt cAu C#i L=ng v tZi t%[ng C#i L=ng nXn ta chx t h\p ni lc v tnh t$!n ch$ mt noa khung

    -ch[n noa khung 0Xn t%!i.J S# hiu thanh -%am]. v CiKm -$int. t%$ng SF nh& hBnh

    >nh Q,@: Y hiu thanh v9 im tron" GP

  • 7/26/2019 n nh 1 tng

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    >nh Q,: MZmen do tOnh t#i

    >nh Q,?: 30c d$c do tOnh t#i

    >nh Q,I: 30c c[t do tOnh t#i

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    >nh Q,Q: MZmen do ho!t t#i ch\t n]a m%i tr%i

    >nh Q,: 30c d$c do ho!t t#i ch\t n]a m%i tr%i

    >nh Q,S: 30c c[t do ho!t t#i ch\t n]a m%i tr%i

  • 7/26/2019 n nh 1 tng

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    >nh Q,U: MZmen do ho!t t#i ch\t n]a m%i .h#i

    >nh Q,: 37c d$c do ho!t t#i ch\t n]a m%i .h#i

    >nh Q,@X: 30c c[t do ho!t t#i n]a m%i .h#i

  • 7/26/2019 n nh 1 tng

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    >nh Q,@@: MZmen do ho!t t#i ch\t ) CT tr%iT .h#iD

    >nh Q,@: 30c d$c do ho!t t#i ch\t ) CT tr%iT .h#iD

    >nh Q,@?: 30c c[tdo ho!t t#i ch\t ) CT tr%iT .h#iD

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    >nh Q,@I: MZmen do %. /0c c)u tr&c maL+ ^t trn cAt tr%i

    >nh Q,@Q: 30c d$c do %. /0c c)u tr&c maL+ ^t trn cAt tr%i

    >nh Q,@: 30c c[t do %. /0c c)u tr&c maL+ ^t trn cAt tr%i

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    >nh Q,@S: MZmen do %. /0c c)u tr&c maL+ ^t trn cAt .h#i

    >nh Q,@U: 30c d$c do %. /0c c)u tr&c maL+ ^t trn cAt .h#i

    >nh Q,@: 30c c[t do %. /0c c)u tr&c maL+ ^t trn cAt .h#i

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    >nh Q,X: MZmen do /0c h4m T ^t /n cAt tr%i

    >nh Q,@: 30c d$c do /0c h4m T ^t /n cAt tr%i

    >nh Q,: 30c c[t do /0c h4m T ^t /n cAt tr%i

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    >nh Q,?: MZmen do /0c h4m T' ^t /n cAt tr%i

    >nh Q,I: 30c d$c do /0c h4m T' ^t /n cAt tr%i

    >nh Q,Q: 30c c[t do /0c h4m T ' ^t /n cAt tr%i

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    >nh Q,: MZmen do /0c h4m T ^t /n cAt .h#i

    >nh Q,S: 30c d$c do /0c h4m T ^t /n cAt .h#i

    >nh Q,U: 30c c[t do /0c h4m T ^t /n cAt .h#i

  • 7/26/2019 n nh 1 tng

    31/62

    >nh Q,: MZmen do /0c h4m T' ^t /n cAt .h#i

    >nh Q,?X: 30c d$c do /0c h4m T' ^t /n cAt .h#i

    >nh Q,?@: 30c c[t do /0c h4m T' ^t /n cAt .h#i

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    >nh Q,?: MZmen do "i6 tr%i _an"

    >nh Q,??: 30c d$c do "i6 tr%i _an"

    >nh Q,?I: 30c c[t do "i6 tr%i _an"

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    >nh Q,?Q: MZmen do "i6 .h#i _an"

    >nh Q,?: 30c d$c do "i6 .h#i _an"

    >nh Q,?S: 30c c[t do "i6 .h#i _an"

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    >nh Q,?U: MZmen do "i6 d$c

    >nh Q,?: 30c d$c do "i6 d$c

    B#() %:D()

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    TABLE: Element Forces - Frames TT Tnh ti

    Frame Station OutputCase P V2 M3 HTT Hot ti tri

    Text m Text KN KN KN-m HTP Hot ti phi

    1 0.00 TT -42.58 -7.21 -35.20 HTC Hot ti c mi

    1 9.06 TT -36.89 -7.21 30.11 DMT Dmax tri

    1 0.00 HTT -16.20 -3.95 -17.26 DMP Dmax phi

    1 9.06 HTT -16.20 -3.95 18.54 TTD T ct tri +1 0.00 HTP -4.97 -3.95 -23.06 TTA T ct tri -

    1 9.06 HTP -4.97 -3.95 12.74 TPD T ct phi +

    1 0.00 HTC -21.17 -7.90 -40.32 TPA T ct phi -

    1 9.06 HTC -21.17 -7.90 31.28 GT Gi tri

    1 0.00 DMT -196.24 -7.36 1.47 GP Gi phi

    1 9.06 DMT -196.24 -7.36 68.19 GD Gi dc

    1 0.00 DMP -44.10 -7.36 -45.97

    1 9.06 DMP -44.10 -7.36 20.75

    1 0.00 TTD 0.74 5.47 37.07

    1 9.06 TTD 0.74 5.47 -12.46

    1 0.00 TTA -0.74 -5.47 -37.07

    1 9.06 TTA -0.74 -5.47 12.46

    1 0.00 TPD 0.74 2.94 25.85

    1 9.06 TPD 0.74 2.94 -0.81

    1 0.00 TPA -0.74 -2.94 -25.85

    1 9.06 TPA -0.74 -2.94 0.81

    1 0.00 GT 53.77 95.61 435.30

    1 9.06 GT 53.77 26.58 -118.22

    1 0.00 GP 33.87 -44.25 -223.28

    1 9.06 GP 33.87 0.87 -26.79

    1 0.00 GD 61.23 -12.31 31.64

    1 9.06 GD 61.23 32.81 -61.26

    2 0.00 TT -42.58 7.21 35.20

    2 9.06 TT -36.89 7.21 -30.11

    2 0.00 HTT -4.97 3.95 23.06

    2 9.06 HTT -4.97 3.95 -12.74

    2 0.00 HTP -16.20 3.95 17.26

    2 9.06 HTP -16.20 3.95 -18.54

    2 0.00 HTC -21.17 7.90 40.32

    2 9.06 HTC -21.17 7.90 -31.28

    2 0.00 DMT -44.10 7.36 45.97

    2 9.06 DMT -44.10 7.36 -20.75

    2 0.00 DMP -196.24 7.36 -1.47

    2 9.06 DMP -196.24 7.36 -68.19

    2 0.00 TTD -0.74 2.94 25.852 9.06 TTD -0.74 2.94 -0.81

    2 0.00 TTA 0.74 -2.94 -25.85

    2 9.06 TTA 0.74 -2.94 0.81

    2 0.00 TPD -0.74 5.47 37.07

    2 9.06 TPD -0.74 5.47 -12.46

    2 0.00 TPA 0.74 -5.47 -37.07

    2 9.06 TPA 0.74 -5.47 12.46

    2 0.00 GT 33.87 44.25 223.28

    2 9.06 GT 33.87 -0.87 26.79

    2 0.00 GP 53.77 -95.61 -435.30

    2 9.06 GP 53.77 -26.58 118.22

    2 0.00 GD 61.23 12.31 -31.64

    2 9.06 GD 61.23 -32.81 61.26

    3 0.00 TT -24.11 -7.21 23.72

    3 2.04 TT -23.44 -7.21 38.42

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    3 0.00 HTT -16.20 -3.95 18.54

    3 2.04 HTT -16.20 -3.95 26.60

    3 0.00 HTP -4.97 -3.95 12.74

    3 2.04 HTP -4.97 -3.95 20.80

    3 0.00 HTC -21.17 -7.90 31.28

    3 2.04 HTC -21.17 -7.90 47.40

    3 0.00 DMT 1.43 -7.36 -30.65

    3 2.04 DMT 1.43 -7.36 -15.63

    3 0.00 DMP -1.43 -7.36 -4.85

    3 2.04 DMP -1.43 -7.36 10.18

    3 0.00 TTD 0.74 -2.94 -12.46

    3 2.04 TTD 0.74 -2.94 -6.46

    3 0.00 TTA -0.74 2.94 12.46

    3 2.04 TTA -0.74 2.94 6.46

    3 0.00 TPD 0.74 2.94 -0.81

    3 2.04 TPD 0.74 2.94 -6.82

    3 0.00 TPA -0.74 -2.94 0.81

    3 2.04 TPA -0.74 -2.94 6.82

    3 0.00 GT 53.77 26.58 -118.22

    3 2.04 GT 53.77 11.03 -156.58

    3 0.00 GP 33.87 0.87 -26.79

    3 2.04 GP 33.87 11.03 -38.93

    3 0.00 GD 61.23 32.81 -61.26

    3 2.04 GD 61.23 42.97 -138.57

    4 0.00 TT -24.11 7.21 -23.72

    4 2.04 TT -23.44 7.21 -38.42

    4 0.00 HTT -4.97 3.95 -12.74

    4 2.04 HTT -4.97 3.95 -20.80

    4 0.00 HTP -16.20 3.95 -18.54

    4 2.04 HTP -16.20 3.95 -26.60

    4 0.00 HTC -21.17 7.90 -31.28

    4 2.04 HTC -21.17 7.90 -47.404 0.00 DMT -1.43 7.36 4.85

    4 2.04 DMT -1.43 7.36 -10.18

    4 0.00 DMP 1.43 7.36 30.65

    4 2.04 DMP 1.43 7.36 15.63

    4 0.00 TTD -0.74 2.94 -0.81

    4 2.04 TTD -0.74 2.94 -6.82

    4 0.00 TTA 0.74 -2.94 0.81

    4 2.04 TTA 0.74 -2.94 6.82

    4 0.00 TPD -0.74 -2.94 -12.46

    4 2.04 TPD -0.74 -2.94 -6.46

    4 0.00 TPA 0.74 2.94 12.46

    4 2.04 TPA 0.74 2.94 6.46

    4 0.00 GT 33.87 -0.87 26.79

    4 2.04 GT 33.87 -11.03 38.93

    4 0.00 GP 53.77 -26.58 118.22

    4 2.04 GP 53.77 -11.03 156.58

    4 0.00 GD 61.23 -32.81 61.26

    4 2.04 GD 61.23 -42.97 138.57

    5 0.00 TT -8.91 -16.70 -38.42

    5 1.51 TT -8.61 -13.67 -15.53

    5 3.01 TT -8.31 -10.65 2.80

    5 0.00 HTT -5.54 -15.72 -26.60

    5 1.51 HTT -5.19 -12.21 -5.54

    5 3.01 HTT -4.84 -8.70 10.22

    5 0.00 HTP -4.43 -4.55 -20.80

    5 1.51 HTP -4.43 -4.55 -13.94

    5 3.01 HTP -4.43 -4.55 -7.08

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    5 0.00 HTC -9.97 -20.27 -47.40

    5 1.51 HTC -9.62 -16.76 -19.48

    5 3.01 HTC -9.27 -13.25 3.15

    5 0.00 DMT -7.19 2.16 15.63

    5 1.51 DMT -7.19 2.16 12.37

    5 3.01 DMT -7.19 2.16 9.12

    5 0.00 DMP -7.47 -0.69 -10.18

    5 1.51 DMP -7.47 -0.69 -9.13

    5 3.01 DMP -7.47 -0.69 -8.08

    5 0.00 TTD -2.86 1.03 6.46

    5 1.51 TTD -2.86 1.03 4.91

    5 3.01 TTD -2.86 1.03 3.37

    5 0.00 TTA 2.86 -1.03 -6.46

    5 1.51 TTA 2.86 -1.03 -4.91

    5 3.01 TTA 2.86 -1.03 -3.37

    5 0.00 TPD 3.00 0.44 6.82

    5 1.51 TPD 3.00 0.44 6.15

    5 3.01 TPD 3.00 0.44 5.49

    5 0.00 TPA -3.00 -0.44 -6.82

    5 1.51 TPA -3.00 -0.44 -6.15

    5 3.01 TPA -3.00 -0.44 -5.49

    5 0.00 GT 16.33 52.41 156.58

    5 1.51 GT 15.49 44.01 83.90

    5 3.01 GT 14.65 35.61 23.89

    5 0.00 GP 14.35 32.61 38.93

    5 1.51 GP 13.73 26.47 -5.60

    5 3.01 GP 13.12 20.34 -40.88

    5 0.00 GD 48.85 56.65 138.57

    5 1.51 GD 47.84 46.50 60.81

    5 3.01 GD 46.82 36.34 -1.63

    6 0.00 TT -8.31 10.65 2.80

    6 1.51 TT -8.61 13.67 -15.536 3.01 TT -8.91 16.70 -38.42

    6 0.00 HTT -4.43 4.55 -7.08

    6 1.51 HTT -4.43 4.55 -13.94

    6 3.01 HTT -4.43 4.55 -20.80

    6 0.00 HTP -4.84 8.70 10.22

    6 1.51 HTP -5.19 12.21 -5.54

    6 3.01 HTP -5.54 15.72 -26.60

    6 0.00 HTC -9.27 13.25 3.15

    6 1.51 HTC -9.62 16.76 -19.48

    6 3.01 HTC -9.97 20.27 -47.40

    6 0.00 DMT -7.47 0.69 -8.08

    6 1.51 DMT -7.47 0.69 -9.13

    6 3.01 DMT -7.47 0.69 -10.18

    6 0.00 DMP -7.19 -2.16 9.12

    6 1.51 DMP -7.19 -2.16 12.37

    6 3.01 DMP -7.19 -2.16 15.63

    6 0.00 TTD -3.00 0.44 -5.49

    6 1.51 TTD -3.00 0.44 -6.15

    6 3.01 TTD -3.00 0.44 -6.82

    6 0.00 TTA 3.00 -0.44 5.49

    6 1.51 TTA 3.00 -0.44 6.15

    6 3.01 TTA 3.00 -0.44 6.82

    6 0.00 TPD 2.86 1.03 -3.37

    6 1.51 TPD 2.86 1.03 -4.91

    6 3.01 TPD 2.86 1.03 -6.46

    6 0.00 TPA -2.86 -1.03 3.37

    6 1.51 TPA -2.86 -1.03 4.91

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    6 3.01 TPA -2.86 -1.03 6.46

    6 0.00 GT 13.12 -20.34 -40.88

    6 1.51 GT 13.73 -26.47 -5.60

    6 3.01 GT 14.35 -32.61 38.93

    6 0.00 GP 14.65 -35.61 23.89

    6 1.51 GP 15.49 -44.01 83.90

    6 3.01 GP 16.33 -52.41 156.58

    6 0.00 GD 46.82 -36.34 -1.63

    6 1.51 GD 47.84 -46.50 60.81

    6 3.01 GD 48.85 -56.65 138.57

    7 0.00 TT -8.31 -10.65 2.80

    7 3.01 TT -7.74 -4.97 26.33

    7 6.03 TT -7.17 0.72 32.73

    7 0.00 HTT -4.84 -8.70 10.22

    7 3.01 HTT -4.14 -1.68 25.88

    7 6.03 HTT -3.44 5.34 20.37

    7 0.00 HTP -4.43 -4.55 -7.08

    7 3.01 HTP -4.43 -4.55 6.64

    7 6.03 HTP -4.43 -4.55 20.37

    7 0.00 HTC -9.27 -13.25 3.15

    7 3.01 HTC -8.57 -6.23 32.52

    7 6.03 HTC -7.86 0.79 40.73

    7 0.00 DMT -7.19 2.16 9.12

    7 3.01 DMT -7.19 2.16 2.61

    7 6.03 DMT -7.19 2.16 -3.90

    7 0.00 DMP -7.47 -0.69 -8.08

    7 3.01 DMP -7.47 -0.69 -5.99

    7 6.03 DMP -7.47 -0.69 -3.90

    7 0.00 TTD -2.86 1.03 3.37

    7 3.01 TTD -2.86 1.03 0.27

    7 6.03 TTD -2.86 1.03 -2.83

    7 0.00 TTA 2.86 -1.03 -3.377 3.01 TTA 2.86 -1.03 -0.27

    7 6.03 TTA 2.86 -1.03 2.83

    7 0.00 TPD 3.00 0.44 5.49

    7 3.01 TPD 3.00 0.44 4.16

    7 6.03 TPD 3.00 0.44 2.83

    7 0.00 TPA -3.00 -0.44 -5.49

    7 3.01 TPA -3.00 -0.44 -4.16

    7 6.03 TPA -3.00 -0.44 -2.83

    7 0.00 GT 14.65 35.61 23.89

    7 3.01 GT 12.97 18.81 -58.14

    7 6.03 GT 11.29 2.01 -89.52

    7 0.00 GP 13.12 20.34 -40.88

    7 3.01 GP 11.89 8.07 -83.70

    7 6.03 GP 10.67 -4.20 -89.52

    7 0.00 GD 46.82 36.34 -1.63

    7 3.01 GD 44.79 16.03 -80.59

    7 6.03 GD 42.76 -4.28 -98.31

    8 0.00 TT -7.17 -0.72 32.73

    8 3.01 TT -7.74 4.97 26.33

    8 6.03 TT -8.31 10.65 2.80

    8 0.00 HTT -4.43 4.55 20.37

    8 3.01 HTT -4.43 4.55 6.64

    8 6.03 HTT -4.43 4.55 -7.08

    8 0.00 HTP -3.44 -5.34 20.37

    8 3.01 HTP -4.14 1.68 25.88

    8 6.03 HTP -4.84 8.70 10.22

    8 0.00 HTC -7.86 -0.79 40.73

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    8 3.01 HTC -8.57 6.23 32.52

    8 6.03 HTC -9.27 13.25 3.15

    8 0.00 DMT -7.47 0.69 -3.90

    8 3.01 DMT -7.47 0.69 -5.99

    8 6.03 DMT -7.47 0.69 -8.08

    8 0.00 DMP -7.19 -2.16 -3.90

    8 3.01 DMP -7.19 -2.16 2.61

    8 6.03 DMP -7.19 -2.16 9.12

    8 0.00 TTD -3.00 0.44 -2.83

    8 3.01 TTD -3.00 0.44 -4.16

    8 6.03 TTD -3.00 0.44 -5.49

    8 0.00 TTA 3.00 -0.44 2.83

    8 3.01 TTA 3.00 -0.44 4.16

    8 6.03 TTA 3.00 -0.44 5.49

    8 0.00 TPD 2.86 1.03 2.83

    8 3.01 TPD 2.86 1.03 -0.27

    8 6.03 TPD 2.86 1.03 -3.37

    8 0.00 TPA -2.86 -1.03 -2.83

    8 3.01 TPA -2.86 -1.03 0.27

    8 6.03 TPA -2.86 -1.03 3.37

    8 0.00 GT 10.67 4.20 -89.52

    8 3.01 GT 11.89 -8.07 -83.70

    8 6.03 GT 13.12 -20.34 -40.88

    8 0.00 GP 11.29 -2.01 -89.52

    8 3.01 GP 12.97 -18.81 -58.14

    8 6.03 GP 14.65 -35.61 23.89

    8 0.00 GD 42.76 4.28 -98.31

    8 3.01 GD 44.79 -16.03 -80.59

    8 6.03 GD 46.82 -36.34 -1.63

    B#() %:D()

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    C

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    e 5,99 5,1Q :,+9 R,1: (R,Q+ (Q, 5,1 5,99 Q,59 6,91 (+,16 (+,R1 +,:5 +,Q: (+,:5 (+,Q: 5,;6 5,6 (5,;6

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    B#() %h :V ($ +

    -7n v tnh'kNJm.

    C

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    OP N Q* c>/ THR "SH% THs. N/yn *&an&&n

    a. THIT K TIT [IN CjU KIN

    a.". T:$%

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    250

    500

    10

    20 20

    OP N Q* c>/ THR "SH% THs. N/yn *&an&&n

    /3 4E 0Zn 0?ng'

    + +5,1

    95 +55 =

    t h cm

    *} 2h[n t * + -cm.

    Tit 4in ct nh& "au'

    z /Zn c!nh' -6 6:.- . cm

    z /Zn 0?ng' -+ :5.- .cm

    Tnh c!c Cc t%&ng hBnh h[c ca tit 4in C ch[n'6 +JR1 6-6J6:. +R1- .cm= + =

    ( )( )

    QQR

    5,: 6: + R16:J:56 1:9RR,19

    +6 +6;< cm

    = =

    ( )

    Q QR+ JR1 6J6:

    6 :6+6+6 +6*< cm= + =

    ( )QJ6 1:9RR,19J6

    616;,R5

    ;

    ;

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    OP N Q* c>/ THR "SH% THs. N/yn *&an&&n

    .! Kim tra ti;t 2i=n c>t '? ch*n.

    @,,@ Kim tra bn,

    $ 5,;J++,Q ++,+1 65em = = < hng phZi kiKm t%a 03nJ

    @,, Kim tra iu kin n nh tn" th,

    7i3u kin n Cnh tng thK ca ct t%$ng mt phng khung C&\c kiKm t%a th]$ cng th=c

    "auJ

    L c

    ]

    NJ

    J = <

    Vi L 6,51 = v ]m ++,+1= , t%a 0Zng IIJ6 ph? l?c, ni "uE ta c' ] 5,++: = "uE %a'

    6L c

    +1:,;;;, J 5,;J6+ +,;-kN cm .

    5,++:J+R1 = = < = =

    7i3u kin n Cnh tng thK ca ct ng$i mt phng khung C&\c kiKm t%a th]$ cng th=c

    "auJ-th]$ Ci3u :JRJ6J: T2YVN ' QQ(655:.

    fGc

    Nc

    *

    * JJJ

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    OP N Q* c>/ THR "SH% THs. N/yn *&an&&n

    n Cnh c?c 0 ca 0Zn c!nh ct C&\c kiKm t%a th]$ cng th=c "au'

    ff t

    b

    t

    b 55

    Vi ' 50 t 6: +

    0 +6-cm.6 6

    = = =

    t%Xn, vB' L5, 6,51 R< = < , nXn '

    R5

    L

    0 ` 6,+J+5-5,Q1 5,+J .J 5,Q1 5,+J6,51J 1,9

    t 6+

    = + = + =

    "uE %a'

    5 5

    0 0+61 1,9

    t 6 t

    = = < =

    /Zn c!nh khng 0 mAt n Cnh c?c 0bD n nh c&c bA b#n b&n",

    n Cnh c?c 0 ca 0Zn 0?ng ct C&\c kiKm t%a th]$ cng th=c "au'

    =

    =

    =

    =

    t

    h

    t

    h

    Vi 0Zn 0?ng ct 4$ Lm ++,Q += > < L 6,51 6 = > v khZ njng chu lc ca ct C&\c suEt

    Cnh 0i Ci3u kin n Cnh tng thK t%$ng mt phng u#n .- *; > nXn th]$ 0Zng 6J6 ta c'

    RL

    h ` 6,+J+5-+,Q 5,Q:J . -+,6 5,Q:J6,51. 15,9t 6+

    = + = + =

    ta c' ,

    h R1R1 Q,+ ` N u ;

    t += = < =

    ,

    h R1R1 6,Q ` N u 9Q

    t += = < = hng phZi Ct v!ch c=ng

    ,

    h hR1R1 15,9

    t + t

    = = < =

    $ vOE 0Zn 0?ng ct n Cnh c?c 0J

    a.3. T:$%

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    OP N Q* c>/ THR "SH% THs. N/yn *&an&&n

    M m]n ch#ng u#n cn thit cZu tit 4in L ngang L!c Cnh'

    ( )6

    Ec Q

    L

    c

    M 6Q5,Q6J+5 +5;1,9 cm

    u 6+J+= = =

    2hi3u ca$ ca tit 4in L L!c Cnh t Ci3u kin t#i &u v3 chi ph vOt liuJ Vi 03 4E 0Zn 0?ngch[n " 0 l + cmJ

    ( ) ( )EcL

    +5;1,9h k +,+: +,6 Q,5 Q;,9 cmt +

    = = =

    2h[n h*15 cmJiKm t%a 03 4E 0Zn 0?ng t Ci3u kin chu cUtJ

    ( )

    ( ) ( )

    v c

    Q Vt + cm

    6 h

    Q 9Q,;t + cm 5,+: cm

    6 15J+6J+

    = > =

    in tch tit 4in cn thit ca 0Zn c!nh L L!c Cnh th]$ cng th=cJ

    ( ) ( )6 Q

    EcEc Ec 6 L 6 6

    k

    t hh 6 15 +J:1 6 0 t +5;1,9J +5,+1 cm

    6 +6 h 6 +6 : = = = =

    Th]$ EXu cu cAu t$ v n Cnh c?c 0, kch th&c 0Zn c!nh C&\c ch[n nh& "au'

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    OP N Q* c>/ THR "SH% THs. N/yn *&an&&n

    $ mL * 61,RR } 65 ( )] Lm m 65 + = > > n;n *iQ* Bin xL nan J)c *Gn&*on iV *a *&o JiW/ in @Wn.

    ( )6

    6 6L c

    n Ln

    N M R+,: 6Q5,Q6J+59, kN cm J 6+-kN cm .

    +:1 Q6;6 = + = + = < =

    Ti tit 4in Cu L c mm]n u#n v lc cUt cGng t!c 4?ng nXn cn kiKm t%a =ng "uAt t&ngC&ng ti ch tip Lc gifa 0Zn c!nh v 0Zn 0?ng'

    6 6t4 + + cQ +,+: = +

    t%$ng C' ( )6

    6+

    L

    hM 6Q5,Q6J+5 :1J J 1,: kN cm

    h Q6;6 15 = = =

    6+

    L

    VJS 9Q, ;J+R:5+,5-kN cm .

    I Jt ;91J+ = = =

    t%Xn ' fE ( mm]n tnh ca mt c!nh 4m C#i vi t%?c t%ung h$ L(L'Q

    S 0 Jt J-h 6 t 6. 6:J6-15 6. 6 +R:5-cm .= = =

    VOE' ( )6 6 6 6t4 c1,: QJ+,5 1,9 kN cm +,+: J 6R,+:-kN cm . = + = < =.@,?, Kim tra n nh c&c bA c2a b#n c%nh v9 b#n b&n"

    ( ) R5

    5,: 6: +0 + ` + 6,+J+5+6 +:,+

    t + 6 6 6+

    = = < = =

    R

    h :1 ` 6,+J+5:1 :,: :,:J +9R

    t + 6+= = < = =

    0Zn 0?ng khng 0 mAt n Cnh c?c 0 4&i t!c 4?ng ca =ng "uAt ph!p - khng phZi Ct

    "&Dn 4[c.

    R

    h :1 6+ ` +,9 Q,6

    t + 6,+J+5 = = = nXn tit 4in L ngang C&\c tnh t$!n kiKmt%a th]$ Ci3u kin 03nJ

    ( )6

    6 6L c

    n Ln

    N M +6,Q; ,9;J+5+9,6 kN cm J 6+-kN cm .

    +6 :+1,19 = + = + = < =

    Ti tit 4in Cu L c mm]n u#n v lc cUt cGng t!c 4?ng nXn cn kiKm t%a =ng "uAt t&ngC&ng ti ch tip Lc gifa 0Zn c!nh v 0Zn 0?ng'

    6 6

    t4 + + cQ +,+: = + t%$ng C' ( )

    66

    +

    L

    hM ,9;J+5 6J J +:,5R kN cm

    h :+1,19 Q6 = = =

    6+

    L

    VJS 65, 19J9:5+,9-kN cm .

    I Jt 611,19J+ = = =

    t%Xn ' fE ( mm]n tnh ca mt c!nh 4m C#i vi t%?c t%ung h$ L(L'Q

    S 0 Jt J-h 6 t 6. 6:J6J-Q6 6. 6 9:5-cm .= = =

    VOE' ( )6 6 6 6t4 c+9,6 QJ+,9 +9,: kN cm +,+: J 6R,+:-kN cm . = + = < =

    ,?, Kim tra n nh c&c bA c2a b#n c%nh v9 b#n b&n",$ tit 4in L C&\c ch[n c tit 4in nhw hn C$n L Qm nXn khng cn kiKm t%a n Cnh c?c0 ca 0Zn c!nh v 0Zn 0?ngK$45 %&6 +:k4( f; ()6() \ 8g(: +%.

    T&:c &in% n&U D4D

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    OP N Q* c>/ THR "SH% THs. N/yn *&an&&n

    So 4?ng phn m3m SF CK tnh t$!n, chuEKn v ngang ln nhAt Cxnh ct t%$ng t h\p tnh tZi

    v tZi t%[ng gi t%!i l' 5,++ Q,16: R,:59- .; cm = + =

    Q QQ:,59 +Q,+6J+5 Q,QQJ+5+++55 Q55

    ;

    = = < =

    b. THIT K CC CHI TITb.". e6$ +%Vi chi3u ca$ tit 4in ct l h * :5cm, vOE m m]n u#n v lc cUt ti ch liXn kt cng

    Ln vai ct vi 0Zn c!nh ct'= + =ax Bc* 1M " X 05& -+;9,19 z +6,9.-5,9: ( 5,:J5,:. * R,+ kNm= + =ax Bc*S " +;9,19 z +6,9 * 6+5,R: kN

    /3 %ng 0Zn c!nh 4m vai ch[n 0ng 03 %ng c!nh ct B(Y@ = 6: cmJ eiZ thit 03 %ng ca"&Dn g#i 4m cu t%?c 04ct* 65 cmJ 2h[n " 0 03 4E c!c 0Zn c!nh 4m vai

    B(Y* = + cmJ T C

    03 4E 0Zn 0?ng 4m vai L!c Cnh t Ci3u kin chu Pp c?c 0 4$ phZn lc 4m cu t%?c t%uE3n

    v$JB( ax Bc*Z B(

    Bc* Y c

    *

    @ 2* Y +

    =+

    +=

    +1D767 1278

    045620 2.121.1

    cm *} ch[n B(Z* = + cmJ

    2hi3u ca$ ca 4m vai L!c Cnh " 0 t Ci3u kin 0Zn 0?ng 4m vai C khZ njng chu cUt'4v maL 4v

    v c

    VQh

    6 t u =

    Q 6+5,R:

    6 +J+6J+ = 61,Q cm *} ch[n B(Z& = Q cmJ

    2!c Cc t%&ng hBnh h[c ca tit 4in 4m vai'Bc 3 3

    B( Y B( Y Z Zx

    @ & 05@ * &[ 2

    12 12

    = =

    =

    3 325.40 0525 1382

    12 12

    6Q:;,QQ cmR

    B( xx

    2[\

    &= = =

    2.18871540

    ++9;,R1 cmQ

    B( Y] Y

    &^ @ *

    2= = =

    3D25.1

    2R9,: cmQ

    l Tit 4in 4m vai C ch[n C&\c kiKm t%a th]$ c!c Ci3u kin 03n u#n, cUt v =ng "uAt t&ngC&ng ti ch ngm vi 0Zn c!nh ct'

    B(x

    M

    \ = = =

    8418

    117D469,+R kNcm6

    c

    Y< = 6+J+ *6+ kNcm6

    B(Z B(

    Z ( c

    3 S* 1

    2& Y= =

    =

    3 21045238.12.1

    5,1; cm

    B(Z

    1 B(x B(

    M &\ &

    = = =8418 38

    117D46401,9 kNcm6

    B(Y

    1 B( B(x Z

    S^[ *

    = = =21045.48752358D33.1

    R,Q: kNcm6

    2 2*B 1 13 = + = + =

    2 2678 3.435 +5,Q kNcm6 +,+: * 6R,+: kNcm6

    T&:c &in% n&U D50

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    OP N Q* c>/ THR "SH% THs. N/yn *&an&&n

    iKm t%a n Cnh c?c 0 0Zn c!nh v 0?ng 4m vai'

    ( /Zn c!nh'o

    B(Y

    @*

    = =0525 1

    1+6

    _05

    Y< =

    421.1005

    21 = +:, kNcm6

    ( /Zn 0?ng'B(ZB(Z

    &*

    = 401

    = R5 _25Y

    < =421.10

    2521

    = 9; kNcm6

    Th]$ cAu t$, ch[n chi3u ca$ C&Dng hn liXn kt vi 4m vai v$ ct l h * 5,9 cmJ

    2hi3u 4i tnh t$!n ca c!c C&Dng hn liXn kt 4m vai vi 0Zn c!nh ct L!c Cnh nh& "au'( Fha t%Xn c!nh - 6 C&Dng hn.' l* 6: ( + * 6R cmJ( Fha 4&i c!nh - R C&Dng hn.' l* 5,:-6: ( +. * ++ cmJ( 0Zn 0?ng - 6 C&Dng hn.' l* Q ( + * Q9 cmJin tch v m m]n ch#ng u#n ca c!c C&Dng hn t%$ng liXn kt - L]m lc cUt chx 4$ c!c

    C&Dng hn liXn kt 0Zn 0?ng chu cn m m]n 4$ c!c C&Dng hn c!nh chu.*6J5,9JQ9*:+,

    = + + + + =

    3 3 32 2

    Z

    24.07 11.07 07.37\ 2 24.07.25 2 2.11.07.24

    12 12 12

    * 66Q6,1: cmQhZ njng chu lc ca c!c C&Dng hn t%$ng liXn kt C&\c kiKm t%a th]$'

    T&:c &in% n&U D51

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    OP N Q* c>/ THR "SH% THs. N/yn *&an&&n

    2 2

    *B

    Z Z

    M S

    \ A

    = + =

    + =

    2 28418 21045

    223265 518

    * :,: Z in c Y < = - 5,9J+.J+ * +6,1 kNcm6

    ch th&c ca cp "&Dn gia c&Dng ch$ 0?ng 4m vai lAE nh& "au'

    ( 2hi3u ca$ 'B(

    s Z& &= = Q cm( /3 %ng '

    B(Z

    s

    &@ 40

    30= + = + =

    38040

    30:6,9cm *} ch[n 0"* 1 cm

    ( /3 4E 's s

    Y* 2@

    _= = 4

    212.6

    21.10 = 5,Q cm *} ch[n t"* 5,1 cm

    b.3.C:d( +% !

    b.3.". *+ 8;(: ?+ #( 8 !

    T 0Zng t h\p ni lc ch[n cp ni lc nguE hiKm nhAt tit 4in ch>n ct CK tnh t$!n'

    N*(+1:,;;kN

    M*QQ9,:kNJm

    V*99,;; kN

    ch th&c 4i %ng )04L /04ca 0Zn C C&\c L!c Cnh 4$ Ci3u kin c&Dng C ca vOt liu

    lm mngJ

    ( 2hi3u %ng / ca 0Zn C - cnh vung gc vi mt phng u#n . C&\c cAu t$ t%&c th]$ c!ckch th&c ca tit 4in ct'

    /04* 0 z 6Jc+

    T%$ng C'

    0 ( 03 %ng ca tit 4in phn ct 4&i -kch th&c vung gc vi mt phng u#n ca tit 4in

    ct.J

    c+( phn nh %a ca c$nL$n 0Zn C lAE c+* cmJ / * 6: z 6J * R+ -cm.

    T&:c &in% n&U D52

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    OP N Q* c>/ THR "SH% THs. N/yn *&an&&n

    ( +

    ( 6

    K=+: %:>?+ #( 8

    ( 2hi3u 4i ) ca 0Zn C C&\c L!c Cnh t Ci3u kin chu Pp c?c 0 ca 0X tng mng'

    ( )

    6

    J J J

    6

    1

    6 6

    +1:,;; +1:,;; 1JQQ9:+,::

    6JR+J5, 9:J5,;1 6JR+J5,9:J5,;1 R+J5,9:J5,;1

    bd

    bd b /oc bd b /oc bd b /oc

    N N M3

    R R R

    cm

    + + =

    = + + =

    T%$ng C ' b ( h "# tjng 0 khi chu nPn c?c 0'

    QQ5,:J+

    +,+R +, :R+J5,

    m

    b

    bd

    G

    G = = = #

    9:,5= -vB =ng "uAt t%$ng 0X tng mng ph>n 0# khng C3u.

    /Xtng mng m!c 6:5 0* 5,: kNcm6

    0,l$c* J0J b * +J5,:J+,+R * 5,;1 kNcm6

    Th]$ cAu t$ v kh$Zng c!ch 0# t% 0u lng n]$, chi3u 4i ca 0Zn C vi giZ thit c 6*+6 cm v03 4E ca 4m C l + cm'

    )04* h z 6t04z 6c6* :5 z 6J+ z 6J+: * 6 -cm.

    Tnh =ng "uAt ti mPp 0Zn C th]$ ph&ng ph!p mt phng u#n '

    ( ) ( )6 6maL ,6 61 +1:,;; 1JQQ9:

    5,9+ 5,9:J5,;1 5,9R R+J6 R+J6 b /oc

    bd bd bd bd

    N MkN cm R kN cm

    3 3 = + = + = = =

    ( )6min 6 61 +1:, ;; 1JQQ9:

    5, 1; NR+J6 R+J6bd bd bd bd

    N MkN cm

    3 3 = = =

    T&:c &in% n&U D53

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    OP N Q* c>/ THR "SH% THs. N/yn *&an&&n

    Ta cAu t$ ch$ t%?c gifa ca 0Zn C t%Gng vi t%?c ct 4&i, th>n ct v c!c "&Dn chia 0Zn C

    thnh c!c 0Zn c c!c Ci3u kin 0iXn kh!c nhauJ M m]n u#n ln nhAt mi nE tnh ch$

    4Zi %ng + Cn vJ6ii0ti 4JJM =

    T%$ng C '

    0t ( =ng "uAt nPn ca 0X tng mng 0Xn 4&i 0Zn C&\c "uE %a t gi! t% maLv minC

    tnh t%Xn v lAE gi! t% ln nhAt t&ng =ng vi mi CK tnh ch$ CJ

    4i ' nhp tnh t$!n ca 0Zn th= i

    i ' h "# t%a 0Zng ph? thuc v$ l$i 0Zn

    Vi 0Zn kX R cnh ' ei! t% nE C&\c t%a 0Zng 4a t%Xn tr "#' 0 +a+J

    a+l cnh ngUn ca 0Zn, 4 *a+

    ( Vi 0Zn kX Q cnh ' ei! t% nE C&\c t%a 0Zng 4a t%Xn tr "#' 0 6a6J

    a6l chi3u 4i 0iXn t 4$ ca 0Zn, 4 * a6

    06l chi3u 4i cnh vung gc vi 0iXn t 4$ ca 0Zn,

    2jn c= v$ c!c kch th&c nh& t%Xn hBnh v~ ta tnh C&\c c!c gi! t%'

    z Ti + -0Zn kX Q cnh.' a6 * 4+* 6: cm < 06* 65 cm < 06a6* 656: * 5,

    T%a 0Zng ni "uE ta c' 5,5;:b =

    M+* 5,5;: J 5,R1 J 6:6* 69,Q+ -kNcm.

    z Ti 6 -0Zn kX 6 cnh. ' a6 * 46 * 6: cm < 06* +6 cmn 0# C3u 4$ !p

    lc 4&i C!E mng '

    +5,6QJ-6J+6,:. :,9:

    _ _ a= = = kNcm

    ( )6 6:,9:J65

    ++:5 J6 6

    _ _

    _

    /M kN cm= = =

    ( ):,9:J65 ++:_ _ _g / kN = = =

    2h[n 03 4E "&Dn t"* + cmJ 2hi3u ca$ "&Dn C&\c L!c 4nh " 0 t Ci3u kin chu u#n'

    ( )1 1J++:5

    +,+Q+J6+J+

    _

    __ c

    Mh cm

    t f = =

    2h[n h" * 65 cm

    iKm %a li tit 4in "&Dn C ch[n th]$ =ng "uAt t&ng C&ng'

    ( )

    6 6

    6 6

    + + 6

    6 6

    1J++:5 ++:Q QJ

    +J65 +J65

    +;,;+ +,+: +,+:J6+J+ 6R,+:

    td

    ck5 cm f kN cm

    = + = + =

    = < = =

    Th]$ cAu t$ ch[n chi3u ca$ C&Dng hn kiXn kt "&Dn v$ 0Zn 0?ng h * 5, cmJ in tch

    tit 4in v m m]n ch#ng u#n ca c!c C&Dng hn nE l'"* 6J5,J-65(+. * Q5,R -cm6.

    "*( )

    ( )6

    Q5,J 65 +

    6J ;1,691

    cm

    =

    hZ njnh chu lc ca c!c C&Dng hn nE C&\c kiKm t%a th]$ cng th=c'

    ( ) ( )

    6 6 6 6

    6min

    ++:5 ++:

    ;1, 69 Q5, R

    +6,: 5, 9J+J+ +6, 1 N

    _ _td

    _ =

    = c

    M g

    W G

    f kN cm

    = + = + =

    = < = =

    b.3.R. T=(: %Q*( >( B

    t&ng t t%Xn, vi 03 %ng 4in t%uE3n tZi v$ "&Dn l' +,:Jl" * +,:J+: * 66,: -cm., ta c'

    65,96J66,: +1,6

    _ _ a= = = kNcm

    ( )6 6+1,6J+:

    +66,: J6 6

    _ _

    _

    /M kN cm= = =

    ( )+1,6J+: 6RQ_ _ _g / kN = = =

    2h[n 03 4E "&Dn t"* + cmJ 2hi3u ca$ "&Dn C&\c L!c 4nh " 0 t Ci3u kin chu u#n'

    ( )1 1J+66,:

    66,R+J6+J+

    _

    _

    _ c

    Mh cm

    t f = =

    T&:c &in% n&U D55

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    OP N Q* c>/ THR "SH% THs. N/yn *&an&&n

    2h[n h" * 6: cm

    iKm %a li tit 4in "&Dn C ch[n th]$ =ng "uAt t&ng C&ng'

    ( )

    6 6

    6 6

    + + 6

    6 6

    1J+66,: 6RQQ QJ

    +J6: +J6:

    6Q,;Q +,+: +,+:J6+J+ 6R,+:

    td

    ck5 cm f kN cm

    = + = + =

    = < = =Th]$ cAu t$ ch[n chi3u ca$ C&Dng hn kiXn kt "&Dn v$ 0Zn 0?ng h * 5,; cmJ in tch

    tit 4in v m m]n ch#ng u#n ca c!c C&Dng hn nE l'

    "* 6J5,;J-6:(+. * RQ,6 -cm6.

    "*( )

    ( )6

    Q5,;J 6: +

    6J +96,1

    cm

    =

    hZ njnh chu lc ca c!c C&Dng hn nE C&\c kiKm t%a th]$ cng th=c'

    ( ) ( )

    6 6 6 6

    6

    min

    +66,: 6RQ +96, RQ, 6

    ++,;: 5, 9J+J+ +6, 1 N

    _ _td

    _ =

    = c

    M gW G

    f kN cm

    = + = + =

    = < = =

    b.3.W.T=(: () (mQ \ +:d( +%!

    T 0Zng t h\p ni lc ch[n cp ni lc ch>n ct g>E kP$ nhi3u nhAt ch$ c!c 0u lng n]$'

    N*+R,R9kN

    M*Q:1,+RkNJm

    V*;,QQ kN

    2hi3u 4i vGng 0X tng chu nPn 4&i 0Zn C l c* R+,; cmJ2h[n kh$Zng c!ch t mPp 0iXn 0Zn

    C ch>n ct Cn t>m 0u lng n]$ l 1 cm, L!c Cnh C&\c'

    a * )046 ( cQ *66 _ R+,;Q * 69,5Q -cm.J

    E * )04( cQ ( 1 * 6( R+,;Q ( 1 * 16,5Q -cm.J

    Tng lc kP$ t%$ng th>n c!c 0u lng n]$ mt pha ch>n ct th]$ cng th=c'

    +

    Q:1+R +R,R9J69,5Q:19,R - .

    16,5Q

    M NaT kN

    = = =

    2h[n thPp 0u lng n]$ mac 5;Mn6Si, t%a 0Zng phu l?c c' 0a* +;5Nmm

    6

    J in tch tit 4incn thit ca + 0u lng n]$'

    ( )6++

    :19,R9,R9

    J RJ+;*c

    ba

    ba

    TG cm

    n f= = =

    2h[n 0u lng Q1 c 0n * ,6 -cm6.J

    tnh li tng lc kP$ t%$ng th>n c!c 0u lng n]$ mt pha ch>n ct th]$ cng th=c'

    6

    Q:1+R +R,R9:5+,:R - .

    95 6T kN= =

    $ T6 T+ nXnC&Dng knh 0u lng n]$ C ch[n l Ct EXu cuJb.3.a. T=(: %Q*( +*+ 8>() :1( $/( n v$ th]$ c$ng th=c'

    T&:c &in% n&U D56

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    OP N Q* c>/ THR "SH% THs. N/yn *&an&&n

    ( )Q:1+R +R,R9

    95R,66 :5 6k

    M NN kN

    h = = =

    - t%Xn lAE 4Au ( vB N l lc nPn.J

    Tng chi3u 4i tnh t$!n ca c!c C&Dng hn liXn kt mt 0Zn c!nh ct -kK cZ c!c C&Dng hn

    liXn kt 4m C v$ 0Zn C.'

    ( ) ( ) ( )( )+

    R+ + 65 + Q5 656J + 6J + 6J + 1Q

    6 6 6=/ cm

    = + + =

    2hi3u ca$ cn thit ca c!c C&Dng hn liXn kt 0Zn c!nh ct th]$ cng th=c'

    ( ) ( )

    + min

    95R,65,

    1QJ5,9J+J+*c k

    f

    = = c

    Nh cm

    / f = = =

    2hi3u ca$ cn thit ca c!c C&Dng hn liXn kt 0Zn 0?ng ct th]$ cng th=c'

    ( ) ( )

    ( )6 min

    +R,R95,5Q

    R1 + J5,9J+J+

    *c

    f

    = = c

    gh cm

    / f

    = = =

    t h\p cAu t$ ch[n h * 5,; cmJ 2Au t$ ch>n ct thK hin hBnh '

    250

    s n A

    B JQ

    s n @

    60 120 460 120 60

    1D0

    10

    1D0

    500

    & $6Y

    `XaN" no236

    820

    200

    135

    135

    140

    410

    410 410

    10

    30

    300

    500 160160

    D.Ein t vi x ngang:2p ni lc 4ung CK liXn kt l cp g>E kP$ nhi3u nhAt ch$ c!c 0u lng ti tit 4in ctJ T0Zng t h\p ch[n C&\c'N * (Q+,19 -kN.

    T&:c &in% n&U D57

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    45 75 6225651

    6245

    25

    70

    70

    110

    75 75 75 75

    OP N Q* c>/ THR "SH% THs. N/yn *&an&&n

    M * (+:,Q+ -kNJm. * (+:Q+ -kNJcm.V * (:,9 -kN.7>E l cp ni lc t%$ng t h\p ni lc 4$ c!c t%&Dng h\p tZi t%[ng g>E %aJ T%Bnh t tnh t$!nnh& "au'c.". Tnh to1n b, FBng Fin n 0u lng, ( )66

    +R,QR

    cmd

    G =

    =

    J

    b/ ( h "# Ci3u kin lm vic ca liXn kt, +=b/ 4$ "# 0u lng t%$ng liXn kt +5+R>=n J6, b ( h "# ma "!t v h "# C tin cOE ca liXn ktJ Vi giZ thit l khng gia cng 03 mt

    cAu kin nXn th]$ [ ]+ ' 9,+n v$ -4$ mm]n c 4Au >m nXn c$i t>m suaE t%Gng vi 4E 0u lng pha t%$ng cGng.J

    n

    N

    h

    hMN

    i

    b

    = 6

    +

    maL6

    * ( )6 6 6 6 6 6+:Q+ R, 6 Q+,19

    +R6 9J: +: 66,: Q5,5 Q9,: R,6

    + + + + + * ( )5,6 kN

    - t%Xn lAE 4Au t% vB N l lc nPn.J

    $ ( ) [ ] ( )maL 5,6 +66,:b tbN kN N kN= < = nXn c!c 0u lng C khZ njng chu lcJiKm t%a khZ njng chu cUt ca c!c 0u lng th]$'

    T&:c &in% n&U D58

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    OP N Q* c>/ THR "SH% THs. N/yn *&an&&n

    ( ) [ ] ( ):,9

    5,: Q:,:1+R cb

    gkN N kN

    n = = < =

    U,B Tnh to%n m^t bch/3 4E ca mt 0ch L!c Cnh t Ci3u kin chu u#n '

    ( )+ maL

    +

    ++ 5, 6+,+ +,+

    -6: +5.6+b

    b Nt

    b b f

    = =

    + + ( )+J6+ cm J

    V

    ( )

    ( )

    ( )+

    +

    ++ 5,6 9,: +: 66,: Q5 Q9,: R6,+,+ +,+

    R6, 6: R6, 6+i

    b Nt

    b h f

    + + + + + = =

    + + ( )6,6Q cm

    ch[n 6,Qt cm=D.)G Tnh to1n '$+ng hn Fin t /x ngang0 vi mt bch:Tng chi3u 4i tnh t$!n ca c!c C&Dng hn pha c!nh ng$i -kK cZ "&Dn.

    ( ) ( )R +6 + 6 ; +=/ = + = ( )15 cm J)=c kP$ t%$ng 0Zn c!nh ng$i 4$ m m]n v lc 4[c ph>n v$ th]$'

    +:Q+ Q+,196 :5 6k

    M NNh

    = =

    * ( )Q:R,9 cm

    VOE chi3u ca$ cn thit ca c!c C&Dng hn nE l'

    ( ) ( )min

    Q:R,9

    15 5,9 + +*c k

    f

    = = c

    Nh

    / f = = =

    ( )5,R19 cm J2hi3u ca$ cn thit ca c!c C&Dng hn liXn kt 0Zn 0?ng ct vi mt 0ch -c$i c!c C&Dng hnnE chu lc cUt ln nhAt Cxnh ct L!c Cnh t 0Zng t h\p ni lc.'

    ( ) ( ) ( )min

    :,9

    6 R1 + 5,9 + +*c

    f

    = = c

    gh

    / f = = =

    ( )5,55: cm

    t h\p cAu t$, ch[n chi3u ca$ C&Dng hn l' ( )5,1fh cm= J

    45 75 6225651

    6245

    250

    70

    70

    110

    75 75 75 75

    50

    50

    40

    7x2 @/9 bn c n J? cao 20

    460 2020

    45107 75 75 75 75 756225

    s n

    150xD0x10

    CI, to mJi nJi c>t v x ngang

    T&:c &in% n&U D5D

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    60/62

    250

    10075 75

    500

    45

    100

    210

    100

    45

    OP N Q* c>/ THR "SH% THs. N/yn *&an&&n

    `. MD$ (D$ 01

    `." MD$ (D$ 8g(: 01

    T%$ng 0Zng t h\p ch[n cp g>E kP$ nhi3u nhAt ch$ c!c 0ulng ti tit 4in Cxnh L'

    N* (+1,;R N

    M* :5,9+ NJm

    V* +,1; N

    7>E l cp ni lc ti tit 4in cu#i L, t%$ng t h\p ni lc 4$ c!c

    t%&Dng h\p tZi t%[ng R,+5 g>E %aJ T&ng t t%Xn,ch[n 0u lng c&Dng

    C ca$ cAp 03n J, C&Dng knh 0u lng 4 kin l 4*65 mmJ-l l$i

    2.J /# t% 0u lng thnh 6 hng J Fha ng$i ca 6 c!nh 0Zn L

    ngang 0# t% 6 cp "&Dn gia c&Dng ch$ mt 0ch kch th&c nh& "au'

    z /3 4E' t"*5, cm

    z 2hi3u ca$' h"*; cmz /3 %ng' l"*+,:h"*+,:J ; * +Q,:-cm.

    2h[n l"* +:cm

    )c kP$ t!c 4?ng v$ mt 0u lng 4E 4&i cGng 4$ m$m]n v lc 4[c ph>n v$- 4$ m$m]n

    c 4Au 4&ng nXn c$i t>m suaE t%Gng vi 4ZE 0u lng pha t%Xn cGng . ta c'

    +0maL 6

    i

    6 6 6

    Mh Nc$" V"inN

    6 h n n

    :59+JR+ +1,;RJ5,;;: +,1;J5,+Q1,:kN

    6J-+5 Q+ R+ .

    =

    = =+ +

    [ ]0maL t0N Q1,: kN N ; kN = < =

    hZ njng chu cUt ca 0u lng C&\c kiKm t%a th]$ cng th=c '

    [ ] c0N"in Vc$" +1,;RJ5,+ +,1;J5,;;:

    5,R6-kN. N Q:,:1-kN.n

    += = < =

    /3 4E ca mt 0ch L!c Cnh t c!c Ci3u kin "au'

    + 0maL

    +

    0 N +5JQ1,:t +,+ +,+ 5,99 -cm.

    -0 0 . -6: +5.J6+ = =

    + +

    + 0i

    +

    0 N +5JQ1,:-R+ Q+ +5.t +,+ +,+ 5,R; -cm.

    -0 h . R+J-6: R+.J6+

    + + = =

    + + ch[n t *+ cm

    Tng chi3u 4i tnh t$!n ca c!c C&Dng hn pha c!nh 4&i - kK cZ "&Dn. L!c Cnh t&ng t

    t%Xn l l 15cm= J )c kP$ t%$ng 0Zn c!nh 4&i 4$ m$m]n, lc 4[c v lc cUt g>E %a'

    kM Nc$" V"in :59+ +1,;RJ5,;;: +,1;J5,+N +:5,+Qkh 6 6 Q6 6 6

    = = + =

    T&:c &in% n&U D60

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    61/62

    OP N Q* c>/ THR "SH% THs. N/yn *&an&&n

    VOE chi3u ca$ cn thit ca c!c C&Dng hn nE'

    ( )Ec k

    min c

    N +:5,+Qh 5,QR-cm.

    l - . 15J 5,9J+ J+= = =

    2hi3u ca$ cn thit ca c!c C&Dng hn liXn kt 0Zn 0?ng ct vi mt 0ch'

    Ech = ( )

    Q

    cmin

    N"in Vc$" +1,;RJ5,+ +,1;J5,;;::J+5 cml 6J-6 +.-5,9J+.J+

    += = t h\p cAu t$ , ch[n chi3u ca$ C&Dng hn t%$ng liXn kt h 5,1cm=

    s n

    150xD0x8

    s n150xD0x8

    100

    10025010075 75

    500

    45

    100

    210

    100

    45

    4d2 @/9 b nCc N" O ?CAe20

    CI, to mJi nJi 'nh x

    `.3. MD$ (D$ 01 \ (:;V.Vic tnh t$!n v cAu t$ m#i n#i L thc hin t&ng t nh& t%Xn J $ tit 4in L ngang ti v

    t% n#i gi#ng nh& ti Cxnh m!i v ni lc ti ch n#i L nhw hn nXn khng cn tnh t$!n kiKm

    t%a m#i n#i J 2Au t$ liXn kt nh& hBnh v~'

    4d2 @/9 bnC N" O ?CAe20

    25010075 75

    50

    0

    45

    100

    21

    0

    100

    45

    s K n

    150xD0x8

    s Kn

    150xD0x8

    `.E. L$/(

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    OP N Q* c>/ THR "SH% THs. N/yn *&an&&n

    ( )Ec k

    L cmin

    N JS 9Q,;J9:5h 5,Q-cm.

    6JI 6J611,19J-5,9J+.J+= = =

    t h\p cAu t$ , ch[n chi3u ca$ C&Dng hn h * 5,1 cm

    Tin hnh t&ng t, ch[n chi3u ca$ C&Dng hn liXn kt 0Zn c!nh vi 0Zn 0?ng ct l h *5J1cm