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7/26/2019 n nh 1 tng
1/62
THUYT MINH N
THIT K KHUNG NGANG
NH CNG NGHIP MT
TNG, MT NHP
NHM SV
7/26/2019 n nh 1 tng
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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
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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'
7/26/2019 n nh 1 tng
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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 _
7/26/2019 n nh 1 tng
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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
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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
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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$c do ho!t t#i ch\t n]a m%i .h#i
>nh Q,@X: 30c c[t do ho!t t#i n]a m%i .h#i
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>nh Q,@@: MZmen do ho!t t#i ch\t ) CT tr%iT .h#iD
>nh Q,@: 30c d$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$c do /0c h4m T ^t /n cAt .h#i
>nh Q,U: 30c c[t do /0c h4m T ^t /n cAt .h#i
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>nh Q,: MZmen do /0c h4m T' ^t /n cAt .h#i
>nh Q,?X: 30c d$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$c do "i6 tr%i _an"
>nh Q,?I: 30c c[t do "i6 tr%i _an"
7/26/2019 n nh 1 tng
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>nh Q,?Q: MZmen do "i6 .h#i _an"
>nh Q,?: 30c d$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%$ng liXn kt C&\c kiKm t%a th]$'
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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$n 0Zn C lAE c+* cmJ / * 6: z 6J * R+ -cm.
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OP N Q* c>/ THR "SH% THs. N/yn *&an&&n
( +
( 6
K=+: %:>?+ #( 8
( 2hi3u 4i ) ca 0Zn C C&\c L!c Cnh t Ci3u kin chu Pp c?c 0 ca 0X tng mng'
( )
6
J J J
6
1
6 6
+1:,;; +1:,;; 1JQQ9:+,::
6JR+J5, 9:J5,;1 6JR+J5,9:J5,;1 R+J5,9:J5,;1
bd
bd b /oc bd b /oc bd b /oc
N N M3
R R R
cm
+ + =
= + + =
T%$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 = = =
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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 = =
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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$ng th=c'
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( )Q:1+R +R,R9
95R,66 :5 6k
M NN kN
h = = =
- t%Xn lAE 4Au ( vB N l lc nPn.J
Tng chi3u 4i tnh t$!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
& $6Y
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820
200
135
135
140
410
410 410
10
30
300
500 160160
D.Ein t vi x ngang:2p ni lc 4ung CK liXn kt l cp g>E kP$ nhi3u nhAt ch$ c!c 0u lng ti tit 4in ctJ T0Zng t h\p ch[n C&\c'N * (Q+,19 -kN.
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70
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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]$'
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OP N Q* c>/ THR "SH% THs. N/yn *&an&&n
( ) [ ] ( ):,9
5,: Q:,:1+R cb
gkN N kN
n = = < =
U,B Tnh to%n m^t bch/3 4E ca mt 0ch L!c Cnh t Ci3u kin chu u#n '
( )+ maL
+
++ 5, 6+,+ +,+
-6: +5.6+b
b Nt
b b f
= =
+ + ( )+J6+ cm J
V
( )
( )
( )+
+
++ 5,6 9,: +: 66,: Q5 Q9,: R6,+,+ +,+
R6, 6: R6, 6+i
b Nt
b h f
+ + + + + = =
+ + ( )6,6Q cm
ch[n 6,Qt cm=D.)G Tnh to1n '$+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
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`. 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
= = + =
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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%$ng liXn kt h 5,1cm=
s n
150xD0x8
s n150xD0x8
100
10025010075 75
500
45
100
210
100
45
4d2 @/9 b nCc N" O ?CAe20
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t% n#i gi#ng nh& ti Cxnh m!i v ni lc ti ch n#i L nhw hn nXn khng cn tnh t$!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
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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