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i Hc Giao Thng vn tI
SV: Nguyn Thanh Quyt-CBA46
Ni Dung1 -C s thit k:2- c im phin dm3-Vt liu4-Ta cc b cp (tnh t y dm):5-c trng hnh hc Giai on 1 (Mt ct b gim yu bi cc ng t DL)6- c trng hnh hc giai doan 2 (Mt ct nguyn c k c Fd)7- c trng hnh hc giai oan II' (Mt ct lin hp)8- cc h s v t hp ni lc
8.1 .H s iu chnh ti trng8.2 H s phn b ti trng8.3 - Ti trng thng xuyn
0#REF!#REF!
9- Mt mt d ng sut (5.9.5)#REF!
9.1- Ma st (5.9.5.2.2)9.3-Co ngn n hi (5.9.5.2.3)
#REF!9.5. Mt mt do t bin (5.9.5.4.3).
9.6. Mt mt do t chng ca DL(mt mt do do thp (5.9.5.4.4)).9.7 .Tng hp cc mt mt ng sut10 - Kim ton theo cc trng thi gii hn (5.5)
10.1. Kim tra theo trng thi gii hn s dng . (5.5.2)#REF!#REF!#REF!
10.2 Kim tra theo trng thi gii hn cng (5.5.4)10.2.1 Kim tra theo iu kin cng
10.2.1.1 sc khng un danh nh (5.7.3.2)#REF!
#REF!
10.2.2.2 kim tra hm lng ct thp ng sut trc (5.7.3.3)10.2.3 kim ton sc khng ct cho tit din#REF!
#REF!#REF!#REF!#REF!#REF!#REF!
Bng tnh Dm BTCT DL ko sauQuy trnh 22 TCN272-05
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#REF!#REF!#REF!#REF!#REF!#REF!
Next
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Tnh ton dm B Tng Ct Thp d ng lc ko sau
(Quy trnh 22 tcn:272-05)1 -C s thit k:
THAM S K HIU
Dm bin=0, dm gia=1 :Chiu di nhp L
Khu tnh ton Ltt
Ta trng HL93
Tng b rng cu B
Mt xe chy B1
G chn xe B2
L ngi i B3
Lan can B4
2- c im phin dm
Chia dm ra lm 8 phn bng nhau, do tnh i xng ta xt ti 5 mt ct :Gi , L/8 ,2L/8 ,3L/8 ,4L/8
c trng hnh hc ca tng mt ct c th hin nh hnh
F =
Yc =
Sz =
Jz =
Jth =
F =
Yc =
Y
Y
Z
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Sz =
Jz =
Jth =
F =
Yc =Sz =
Jz =
Jth =
F =
Yc =Sz =
Jz =
Jth =
Y
Y
Z
Y
Z
Z
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F =
Yc =
Sz =Jz =
Jth =
Chi tit c trng hnh hc ca tng mt ctTham s K hiu L / 2 L / 4
To X (tnh t gi) cm 1460.0 730.0
Chiu cao dm H (cm) 150 150Chiu cao bu di H1 (cm) 20 20
Chiu cao vt di H2 (cm) 15 15B rng vt di b5 (cm) 15 15
Chiu cao sn H3 (cm) 85.000 85.000
Chiu cao g trn H5 (cm) 14.00 14.00
Chiu cao g trn cng H6 (cm) 4.00 4.00
B rng bu di b1 (cm) 50 50
B rng sn b2 (cm) 20 20
Chiu cao vt trn H4 (Y)(cm) 12.0 12.0
B rng vt trn b6 (cm) 25 25B rng bn cnh trn b3 (cm) 70 70
B rng g trn cng b4 (cm) 50 50 m rng sn(1bn) 0 0
So vi mt ct gia dmKch thc mt ct ngang quy i
7.5 7.5
6.0 6.0
2.4 2.4
b rng cnh trn b1 70.0 70.0
chiu dy cnh trn h1 22.4 22.4
b dy sn b2 20.0 20.0
chiu cao sn h2 100.1 100.1
b rng bu b3 50.0 50.0chiu cao bu h3 27.5 27.5
C ly gia cc dm ch
DY_vtbudm
DY_vttrn
DY_gotop
Z
Y
Z
b2
X
h1
h2
h3
b3
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b rng cnh hng Sk
Trng lng dm ch
S lng dm chS dm ngang
B rng dm ngangChiu cao dm ngang
Chiu dy lp ph mt cu BTXM
Asphalt
Tnh ti g chn xe (ton b) (kG/m)Tnh ti lan can + l ngi i 2 bn (kG/m)
H s ln xe : (M)
S ln cht ti 1 2H s ln (m) 1.20 1.00
3-Vt liu3.1B tng :
Cp BTT trng ca BT
C chu nn khi un
C chu ko khi un ca BT(5.4.2.6)
M un n hi
3.2-Thp cng cao
Cp 12.7 mm, tiu chun ASTMCng chu ko Mpa fpu 1860.0
Mpa 1395.0
Cp ca thp 270.0 Thp c t cGii hn chy ca ct thp DL Mpa fpy 1674.0
S b cp CC 6 *
Din tch 1 tao cable cm2 0.9871 *
ng knh ng to l cm 6M un n hi cable Mpa Ep 197000
Thp c chng do thp ca hng VSL: ASTM A416 Grade 270.H s ma st: m = 0.2
s quy i th
Cng chu nn ca BT lc bt u t
ti hoc to ng sut trc
C chu nn quy nh 28 ngy tui
CcC fE '.043.05.1
g=
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H s ma st lc trn 1mm b cp: K = 6.6E-07ng sut trong thp DL khi kch: fpj = 1395.0
Chiu di tt neo : DL= 0.006H s quy i ng sut F= 0.90
3.3-Thp thng
Gii hn chy ti thiu ca thp thanh fyM un n hi Es
3.4-T trng vt liu
BT mt cu 2500
Asphan2250
Eb 31798.9
H s quy i bn sang dm 0.935414347
bng tung ng trc cc b ct thp
Mt ct Ta x N 1 N 2(cm) f y f y
L/2 1500.0 77.0 108.0 68.0 119.0
L/4 770.0 77.0 89.8 68.0 102.9
1.5m 190.0 77.0 49.3 68.0 67.10.72H 148.0 77.0 45.4 68.0 63.8
Gi 40.0 77.0 35.1 68.0 54.6u dm 0.0 77.0 31.0 68.0 51.0
bng c trng cc gc a
s hiu b Mt ct x (cm) L (cm) f (cm) tga
N1 1500 3000 77.0 0.00N2 1500 3000 68.0 0.00
N3 1500 3000 59.0 0.00
N4 1500 3000 50.0 0.00
N5 1500 3000 30.0 0.00
L/2
L
Y
Y1
X1
1
Y0
024 f
y x L x yL
=
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N6 1500 3000 10.0 0.00
N1 770 3000 77.0 0.05N2 770 3000 68.0 0.04
N3 770 3000 59.0 0.04
N4 770 3000 50.0 0.03
N5 770 3000 30.0 0.02N6 770 3000 10.0 0.01
N1 190 3000 77.0 0.09
N2 190 3000 68.0 0.08
N3 190 3000 59.0 0.07
N4 190 3000 50.0 0.06
N5 190 3000 30.0 0.03N6 190 3000 10.0 0.01
N1 148 3000 77.0 0.09
N2 148 3000 68.0 0.08
N3 148 3000 59.0 0.07
N4 148 3000 50.0 0.06
N5 148 3000 30.0 0.04N6 148 3000 10.0 0.01
N1 40 3000 77.0 0.10
N2 40 3000 68.0 0.09
N3 40 3000 59.0 0.08N4 40 3000 50.0 0.06
N5 40 3000 30.0 0.04N6 40 3000 10.0 0.01
N1 0 3000 77.0 0.10
N2 0 3000 68.0 0.09
N3 0 3000 59.0 0.08
N4 0 3000 50.0 0.07
N5 0 3000 30.0 0.04N6 0 3000 10.0 0.01
4-Ta cc b cp (tnh t y dm):
Mt ct Mc L/2 Mc L/4 Mc 1.5m Mc 0.72H
L/4
Gi
1.5m
0.72H
u dm
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S si 1 bK/c X(cm) 1500 770.0 190.0 148.0
7 B 1 42.0 60.2 100.7 104.67 B 2 31.0 47.1 82.9 86.2
7 B 3 20.0 34.0 65.0 67.97 B 4 9.0 20.8 47.1 49.6
7 B 5 9.0 16.1 31.9 33.4
7 B 6 9.0 11.4 16.6 17.1
829.2 1310.3 2378.6 2479.5
Trng tm 20.0 31.6 57.4 59.8
Trng tm tnh t trn xung 130.0 118.4 92.6 90.2
Trng tm tnh t mp trn bn mt cu 148.0 136.4 110.6 108.2
Khong cch t ti trng tm ct thp(hnh 5.8.3.4.2-3)
55 43.39462222 17.6271556 15.19231289
5-c trng hnh hc Giai on 1 (Mt ct b gim yu bi cc ng t DL)
5.1- Din tch tit din
Mt ct M/c (L/2) M/c (L/4)
Khi K1 sn b 20 20
h 112.000 112.000
0.020.040.060.080.0
100.0120.0140.0160.0
0 200 400 600 800 1000 1200 1400K/cty
dm(cm
)
L(cm)
ng cong cc b cp
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f1 2240 2240
K2 chieu cao g b 70 70
h 14.00 14f2 980 980
Chiu cao g b' 50 50K'2 h' 4 4
f'2 200 200
K3 bu di b 50 50
h 20 20
f3 1000 1000
K4 vt trn b 25 25
h 12.0 12
f4 300 300
K5 vt dib
15 15h 15 15f5 225 225
K6(L lun cp) f6 -169.65 -169.65
F1 4775.35 4775.35
Din tch mt ct nguyn 4945.00 4945.00
5.2-M men tnh
a1 76 76 76a2 139 139 139a'2 148 148 148a3 10 10 10
a4 128 128 128a5 25 25 25
a6 20.0 31.6 57.4
s1 170240 170240 170240s2 136220 136220 136220s'2 29600 29600 29600s3 10000 10000 10000s4 38400 38400 38400s5 5625 5625 5625s6 -3392.92 -5361.73 -9733.07
S 386692.08 355123.27 350751.93
5.3- Trng tm 390085.00 390085.00 390085.00YdI 81.0 74.4 73.5
YtI 69.0 75.6 76.5
Khong cch t trng tm eI 61.0 42.8 16.1
ct thp n trc mt ct
Vi th di
Vi th trn
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5.4- M men qun tnh
i01 2341546.667 2341546.67 2341546.667i02 16006.66667 16006.6667 16006.66667i'02 266.6666667 266.666667 266.6666667
i03 33333.33333 33333.3333 33333.33333
i04 2400 2400 2400
i05 2812.5 2812.5 2812.5
i06 -381.7035074 -381.703507 -381.7035074
i1=f1*a1^2 55477.76445 5981.7766 14560.39681
i2 3299377.089 4094021.48 4210807.928
i'2 898426.3903 1084397.52 1111526.917i3
5037682.191 4142963.05 4025960.303i4 663359.1611 862986.513 892695.8415i5 705011.2317 548322.177 528175.4936i6 -630769.2134 -310190.635 -43851.72369
I1 12424548.74 12824466 13135859.29
5.5-M men khng un 13055700 13135038 13180093
WdI 153434 172451 178840WtI 180005 169559 171599WeI 203759 299914 817028
6- c trng hnh hc giai doan 2 (Mt ct nguyn c k c Fd)
F1 4775.35 4775.35 4775.35
nd*Fd 240.25 240.25 240.25F2 5015.61 5015.61 5015.61
MM tnh vi trcTH 0-0(g1) SII 14649.80 10273.32 3862.69
K/cch gia 2 trc TH c 2.92 2.05 0.77
To trng tm tit din quy i YdII 78.06 72.32 72.68YtII 71.94 77.68 77.32
kc t trng tm DL n trng tm quy eII 58.06 40.71 15.31I1 1.24E+07 1.28E+07 1.31E+07
F1*c^2 40740.08 20034.57 2832.29nd*Fd(yd-ad)^2 8.10E+05 3.98E+05 5.63E+04
I2 1.33E+07 1.32E+07 1.32E+07
WdII 1.70E+05 1.83E+05 1.82E+05WtII 1.85E+05 1.70E+05 1.71E+05
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WeII 2.29E+05 3.25E+05 8.62E+05
7- c trng hnh hc giai oan II' (Mt ct lin hp)
Xc nh bn cnh hu hiu
Dm gia1/4ltt = 730 cm
khong cch t tim n tim dm S = 200 cm
L / 2 L / 4 1.5m 0.72H
b dy bn bng bw(b2) 20 20 20 45.2
chiu rng g trn b3 70 70 70 7012hf+max(b2,b3/2)= 251 251 251 261.2
B rng hu hiu ca dm gia bhhg 200 200 200 200
Dm bin1/8ltt = 365 cm6hf + max(b2/2,b3/4) 125.5 125.5 125.5 130.6
B rng cnh hng 100B rng hu hiu ca dm bin bhhb = 200 200 200 200
v dm gia chu lc bt li hn nn tnh ton vi bn cnh hu hiu ca dm bin
B rng quy i t bn sang dm
Chuyn i b tng bn sang btng dmB rng bn quy i cho dm gia 187.1 cm 187.1 cm 187.1 cm 187.1 cm
B rng bn quy i cho dm bin 187.1 cm 187.1 cm 187.1 cm 187.1 cmMt ct I nguyn quy i thnh ch T
L / 2 L / 4 1.5m 0.72H
chiu cao dm 150.0 cm 150.0 cm 150.0 cm 150.0 cm
b rng cnh trn b1 70.0 70.0 70.0 70.0chiu dy cnh trn h1 22.4 22.4 22.4 17.8
b dy sn b2 20.0 20.0 20.0 45.2
chiu cao sn h2 100.1 100.1 100.1 111.0
b rng bu b3 50.0 50.0 50.0 50.0chiu cao bu h3 27.5 27.5 27.5 21.2
Mt ct lin hp quy i thnh ch T187.1 187.1 187.1 187.124.70 24.70 24.70 21.10
F2 5015.6 5015.6 5015.6
Mt ct
chiu rng g trn quy i b'chiu cao g trn quy i h'
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nb*Fb 3367.5 3367.5 3367.5F'2 8383.1 8383.1 8383.1
MM tnh vi trc TH I-I(gII) S'II 272579.0 291902.3 290680.8K/cch gia 2 trc TH c' 32.5 34.8 34.7
Yd'II 110.6 107.1 107.4kc t th trn chu nn(bmc) n TTH Yt'II 57.4 60.9 60.6
e'II 90.6 75.5 50.0
I2 1.33E+07 1.32E+07 1.32E+07
F2*c'^2 5.30E+06 6.08E+06 6.03E+06Ib 9.09E+04 9.09E+04 9.09E+04
nb*Fb(c'')^2 7.90E+06 9.06E+06 8.98E+06
I'2 2.66E+07 2.85E+07 2.83E+07
Wd'II 2.40E+05 2.66E+05 2.64E+05Wt'II
4.63E+05 4.68E+05 4.67E+05We'II 2.93E+05 3.77E+05 5.66E+05
8- cc h s v t hp ni lc
Tng ng lc tnh ton phi c ly nh sau:
trong :hi = h s iu chnh ti trng ly theo iu 1.3.2Qi = ti trng quy nh ygi = h s ti trng ly theo Bng 1 v 2
Cc cu kin v cc lin kt ca cu phi tho mn phng trnh 1.3.2.1.1 cho cc t hp thch hp ca n
cc hn tnh ton c quy nh cho tng trng thi gii hnhi Yi Qi F Rn = Rr
vi :hi= hD hR hl > 0,95
i vi ti trng dng gi tr cc i ca gi:
trong :
Yi = h s ti trng : h s nhn da trn thng k dng cho ng lc.
F h s sc khng: h s nhn da trn thng k dng cho sc khng danh nh c ghi
cc Phn 5, 6, 10, 11 v 12.hi h s iu chnh ti trng; h s lin quan n tnh do, tnh d v tm quan trng trong khai thD h s lin quan n tnh do c ghi iu 1.3.3.hR h s lin quan n tnh d c ghi iu 1.3.4.hI h s lin quan n tm quan trng trong khai thc c ghi iu 1.3.5.
iii QQ =
0,11
IRD
i =
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Qi ng lcRn sc khng danh nh
Rr sc khng t nh ton :FRn
8.1 .H s iu chnh ti trng
8.1.1. Tnh do
H kt cu ca cu phi c nh kch thc v cu to m bo s pht trin ng k v c th nh
c ca cc bin dng khng n hi trng thi gii hn cng v trng thi gii hn c bit trc
khi ph hoi.
C th gi nh rng cc yu cu v tnh do c tho mn i vi mt kt cu b tng sc khng c
lin kt khng thp hn 1,3 ln ng lc ln nht do tc ng khng n hi ca cc cu kin lin k tc
ln lin kt .
i vi trng thi gii hn cng :hD 1.05 cho cu kin v lin kt khng do.
1 cho cc thit k thng thng v cc chi tit theo ng Tiu chu
0.95 cho cc cu kin v lin kt c cc bin php tng thm tnh do
yu cu ca Tiu chun nyi vi cc trng thi gii hn khc : hD = 1.0
8.1.2. Tnh d
Cc kt cu c nhiu ng truyn lc v kt cu lin tc cn c s dng tr khi c nhng l do bt bu
Cc b phn hoc cu kin chnh m s h hng ca chng gy ra sp cu phi c coi l c nguy
h hng v h kt cu lin quan khng c tnh d, cc b phn c nguy c h hng c th c xem l ph
hoi gin.
Cc b phn hoc cu kin m s h hng ca chng khng gy nn sp cu c coi l khng c ng
c h hng v h kt cu lin quan l d.
i vi trng thi gii hn cng :hR 1.05 cho cc b phn khng d
1 cho cc mc d thng thng
0.95 cho cc mc d c bit
i vi cc trng thi gii hn khc:hR = 1
8.1.3. Tm quan trng trong khai thc
iu quy nh ny ch dng cho trng thi gii hn cng v trng thi gii hn c bit.
i vi trng thi gii hn cng :I 1.05 cho cc cu quan trng
1 cho cc cu in hnh0.95 cho cc cu tng i t quan trngi vi cc trng thi gii hn khc:
I = 18.2 H s phn b ti trng8.2.1 h s phn b cho m men
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8. 2.1.1 -H s phn b hot ti theo ln i vi m men trong cc dm gia(bng 4.6.2.2.2a-1)
Mt ln thit k chu ti
Hai hoc hn hai ln thit k chu ti :
g t am s cng c
S mm
L mmgts mmNbMt ln thit k chu ti
Hai hoc hn hai ln thit k chu ti :Chn gi tr lon nh t trong hai gi tr
H s phn b ngang cho dam giua do PL
8.2.1.2 phn b hot ti theo ln i vi m men trong dm dc bin1.2
Phng trnh tung ng nh hng: Ydb(x) = X/Sx1 = 2.750 m y1=x2 = 1.250 m y2=x3 = 1.000 m y3=x4 = 0.400 m y4=
gHL1= . . y
gPL1= 1.2 0.5 y1+
gLn1= . . y
Khi xep tai hai hoac nhieu lan thiet kegbin= e.gdm trong
e=0.77+ e 2800e= -1000.0 mm de< -300 nen ko
e= 0.412857143gbin= 0.245248375Cac he so phan bo dc lay nhu sau
=
1.0
3
3.04.0
...
430006.0
s
g
tL
K
L
SS
0.10.6 0.2
30.075 . .
2900 .
g
s
KS S
L L t
=
2.. gg eAInK =
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gmbHL = 0.120gmbLan = 0.100gmbPL = 1.200
8.2.2 -h s phn b cho lc ct (4.6.2.2.3)8.2.2.1-Phn b hot ti theo ln i vi lc ct trong cc dm gia
Truong hop chat tai mot langvg1 = 0.623Truong hop chat tai hai langvg2 = 0.721
gvg = 0.7218.2.2.2 -Phn b hot ti theo ln i vi lc ct trong cc dm bin
Truong hop chat tai mot lan: dung PP don baygiong nhu da tinh o tren cho momengHL1 = 0.120
gLan1 = 0.100gPL1 = 1.200Truong hop chat tai hai lang=e.gdm tronge= 0.6+ e 3000 = 0.266666667g= 0.192164802Cac he so phan bo dc lay nhu saugvbHL = 0.120gvbLan = 0.100gvbPL = 1.200
Bng tng hp h s phn b ti trng
m men lc ct
dm gia 0.594 0.721dm bin 0.245 0.192
max 0.594 0.721
8.3 - Ti trng thng xuyn
1.1 Xc nh tnh ti dm ch
Xt on dm t u dm n mc thay i tit din
Ao = 0.7828
T trng b tng dm ch: 2500.00 kg/m3trng lng on dm DCdo = 3.538E+03
Xt on dm cn liA = 0.4945trng lng on dm DCd = 3.239E+04 kg
tnh ti dm ch c coi l ti trng rI u trn sut chiu di dmDCdc = 1.230E+03 kg/m (phai chia cho ch
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1.2 Xc nh tnh ti bn mt cu
Dm gia:
Abmg = S*hf 3.600E-01 m2DCbmg = gc*Abmg = 9.000E+02 kg/m
Dm bin:
Abmg = (S/2+Sk)*hf 3.600E-01 m2DCbmb = gc*Abmg = 9.000E+02 kg/m
1.3 Xc nh tnh ti dm ngang
DCdn = 1.618E+02 kg/m
1.4 Xc nh tnh ti vn khun lp ghp
DCvk = 1.500E+02
1.5 Xc nh tnh ti lan can
thep1.500E+01
kg/mbetong
Tng DClc = 2.025E+02 kg/m
G chn DCgc = 1.875E+02 kg/m
Tng 3.900E+02
1.5 Tnh tI lp ph mt cu v tin ch cng cng
tng trng lng lp ph mt cu:
DWlp = 3.504E+02 kg/m
Cc tin ch Dwti = 5.000E+00 kg/m
DW = 3.554E+02 kg/m
Dm binY1b = 1.438E+00
DClcb = 2.911E+02 kg/m DClcg =DWb = 2.678E+02 kg/m
Dm gia DWg = 3.554E+02 kg/m
2. Tng cng tnh tI tc dng tc dng ln cc dm dc ch
Dm gia:
G cha lin hp: DCdc = 1.230E+03 kg/m
G khai thc: mc lin hp DCg = 2.442E+03 kg/m
DWg = 3.554E+02 kg/mDm bin:
G cha lin hp: DCdc = 1.230E+03 kg/m
G khai thc: mc lin hp DCb = 2.846E+03 kg/mDWb = 2.678E+02 kg/m
Tnh ton ni lc:
Mt ct c trng:
0
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1.08
1.5
7.314.6
Tnh ton ni lc dm ch do tnh ti
Tnh Mmen (V ng nh hng men tai cc mt ct M men tc dng ln dm bin do tnh ti:
MDCdc=DCdc.g.
x(m) (m ) DCdc(KN/m)
0 0.000 12.070
1.08 15.185 12.070
1.5 20.775 12.070
7.3 79.935 12.070
14.6 106.580 12.070
DCb: Tnh ti tc dng ln dm binDWb: Tnh ti lp ph mt cu;
X DCb
(m) (KN/m)
0 0 27.91744582
1.08 15.1848 27.91744582
1.5 20.775 27.91744582
7.3 79.935 27.9174458214.6 106.58 27.91744582
Tnh ti tc dng ln dm gm:MDCbmb=DCbmb.g.
MDCdnb=DCdnb.g.
X DCb
(m) (KN/m)
0 0 10.35845291
1.08 15.1848 10.35845291
1.5 20.775 10.35845291
7.3 79.935 10.3584529114.6 106.58 10.35845291
`
Tnh ti tc dng ln dm gm:
(m2)
(m2)
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MDClcb=DClcb.g. MDWb=DWb.g.
MDCgcb=DCgcb.g.
X DCb
(m) (KN/m)0 0 30.77307551
1.08 15.1848 30.77307551
1.5 20.775 30.77307551
7.3 79.935 30.77307551
14.6 106.58 30.77307551
M men tc dng ln dm gia do tnh ti:
Giai on khai thc: Mt ct lin hp
MDCg=DCg.g. MDWg=DWg.g.
X DCg
(m) (m2) (KN/m)
0 0.000 23.958
1.08 15.185 23.958
1.5 20.775 23.958
7.3 79.935 23.958
14.6 106.580 23.958
Tnh ti tc dng ln dm gm:MDCbmg=DCbmg.g.
MDCdn=DCdn.g.
X DCg
(m) (KN/m)
0 0.000 11.888
1.08 15.185 11.888
1.5 20.775 11.888
7.3 79.935 11.88814.6 106.580 11.888
`
Tnh ti tc dng ln dm gm:
(m2)
(m2)
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MDWb=DWb.g.
Xem lan can v g chn ch tc dng ln dm
X DWb
(m) (KN/m)0 0.000 3.486
1.08 15.185 3.486
1.5 20.775 3.486
7.3 79.935 3.486
14.6 106.580 3.486
Tnh lc ct do tnh ti (V ng nh hng men tai cLc ct ca dm bin do tnh ti:
x(m) (m ) (m )
0 14.600 0.000
1.08 13.540 -0.020
1.5 13.139 -0.039
7.3 8.213 -0.913
14.6 3.650 -3.650
0 14.6 0
1.08 13.5399726 -0.019972603
1.5 13.1385274 -0.038527397
7.3 8.2125 -0.9125
14.6 3.65 -3.65
Lc ct ca dm gia do tnh ti:
0 14.6 0
1.08 13.5399726 -0.019972603
(m2)
(m2)
(m2)(m2)
(m2)
x(m)
x(m)
v
v
v
v
v
v
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1.5 13.1385274 -0.038527397
7.3 8.2125 -0.9125
14.6 3.65 -3.65Tnh ni lc dm ch do hot ti:
M men do hot ti HL93 v PL tc dng ti cc mt ct dm:T
Khi xt 2 trng hp xp ti bt li nht sau:Trng hp 1:
Mtruck= 145.yM1+1
Mtandem= yM4.110
Mxetk=max(Mtruck,
X
(m)
0 0.000 0.000
1.08 1.040 0.881
1.5 1.423 1.202
7.3 5.475 4.400
14.6 7.300 5.150Trng hp 2:
Mtruck= 145.yM1+1
Mtandem= yM4.110
Mxetk=max(Mtruck,
X
(m)
0 0.000 0.000
1.08 1.040 0.8811.5 1.423 1.202
7.3 5.475 4.400
14.6 7.300 5.150
So snh cc gi tr tnh c trong 2 trng hp trn, chn m
x
01.08
1.5
7.3
14.6
yM2
yM1 yM2
yM1
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M men gy ra do ti trng ln: qln=9.3 kN/m
x(m) (m2)0 0.000
1.08 15.185
1.5 20.775
7.3 79.935
14.6 106.580M men gy ra do ti trng ngi i: Coi nh
PL=3*10^3 MPa =3 KN/m .
x(m) (m2)
0 0.000
1.08 15.1851.5 20.775
7.3 79.935
14.6 106.580T hp m men do hot ti:
MLLb=gmbHL(1+IM)Mxetk+gmbln.Ml
x(m) Mxetk(kNm) Mlanx(kNm)
0 0.000 0.000
1.08 303.824 141.219
1.5 414.966 193.2087.3 1548.250 743.396
14.6 1985.500 991.194
MLLb=gmb(1+IM)Mxetk+gmb.Mlanx+MLLb=gmb(1+IM)Mxetk+gmb.Mlanx
x(m) Mxetk(kNm) Mlanx(kNm)
0 0.000 0.000
1.08 303.824 141.219
1.5 414.966 193.208
7.3 1548.250 743.396
14.6 1985.500 991.194
Lc ct do hot ti HL93 v PL tc dng ti cc mt ct dm:Tnh lc ct ti 5 mt ct c trng trong 2 trng hp xp xe
M
M
M
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Cng thc tnh lc ct do xe ti thit k:
Cng thc tnh lc ct do xe 2 trc thit k:
x yV1 yV2 yV3
(m) (m) (m) (m)
0 1.000 0.853 0.705
1.08 0.963 0.816 0.668
1.5 0.949 0.801 0.654
7.3 0.750 0.603 0.455
14.6 0.500 0.353 0.205
Lc ct gy ra do ti trng ln: Trng hp bt li vi cc mt ct trong khong t gi ti Ltt/2, ch
Lc ct do ti trng ngi i gy ra dm bin:Coi nh dm bin chu ton b ti trng ngi iVlanx=qlan. x(m) (m )
VPLx=PL.B3. (kN) 0 14.600
1.08 13.5401.5 13.139
7.3 8.213
14.6 3.650T hp lc ct do hot ti:
Dm bin: VLLb=gvbHL(1+IM)Vxetk+gvblanxVlan
x(m) Vxetk(kN)
0 293.339
1.08 281.318
1.5 276.644
7.3 212.08914.6 130.839
Dm gia:VLLg=gvg(1+IM)Vxetk+gvgVlanx + gvgPLVPLx (kN)
Vd
Vd
Vd
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x(m) Vxetk(kN)
0 293.339
1.08 281.3181.5 276.644
7.3 212.08914.6 130.839
T hp ti trng theo cc trng thi gii hn(TTGH)
Dm gia:Trng thi gii hn cng I:
Trng thi gii hn cng II:
Trng thi gii hn cng III:
Trng thi gii hn s dng:
Trng thi gii hn c bit:
Dm binTrng thi gii hn cng I:
Trng thi gii hn cng II:
Trng thi gii hn cng III:
Trng thi gii hn s dng:
Trng thi gii hn c bit:
MuCD1g VuCD1g0 0.000 1244.829
1.08 1192.333 1169.066
1.5 1630.316 1139.765
7.3 6206.863 744.447
14.6 8168.257 271.569MAX CI KN.m 8168.257 1244.829
0 0.000 539.2701.08 560.871 499.3791.5 767.352 483.866
Mt ct
II
I
Dm giaTTGH
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7.3 2952.505 269.63514.6 3936.673 0.000
MAX CII3936.673 539.2700 0.000 1083.558
1.08 1047.999 1015.995
1.5 1433.067 989.845
7.3 5463.010 635.91814.6 7201.038 209.496
MAX CIII 7201.038 1083.558
0 0.000 823.903
1.08 798.415 772.283
1.5 1091.794 752.301
7.3 4163.112 481.684
14.6 5489.353 155.182
MAX SD 5489.353 823.9030 0.000 740.858
1.08 741.289 690.718
1.5 1013.913 671.266
7.3 3882.322 405.296
14.6 5145.697 77.591MAX B 5145.697 740.858
max (MuCDb) 6.662E+03 KN.m
max (MuCDg) 8.168E+03 KN.m
max (MuSDb) 4.741E+03 KN.m
max (MuSDg) 5.489E+03 KN.mmax (MuDBb) 5.008E+03 KN.m
max (MuDBg) 5.146E+03 KN.m
M men tnh ton Mu 8.168E+09 N.mmM men tnh duyt ti cc mt ct
Mt ct L / 2 L / 4 1.5m 0.72H
Mutd (N.mm) 8.17E+09 6.21E+09 1.63E+09 1.19E+09
Kt qu tnh ton cho thy dm gia l dm bt li hn, v vy
Tnh ton v b tr ct thp3.2-Thp cng caoCp 12.7 mm, tiu chun ASTMCng chu ko Mpa fpu 1860.0
Mpa fpj 1395.0
III
SD
B
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Cp ca thp 270.0Gii hn chy ca ct thp DL Mpa fpy 1674.0
Cng tnh ton g s dng kg/cm2 Rd2 8500.0S b cp CC 5
Din tch 1 tao cable mm2 98.71
ng knh ng to l cm 6.5M un n hi cable Mpa Ep 197000
Thp c chng do thp ca hng VSL: ASTM A416 Grade 270.
H s ma st: m =
H s ma st lc trn 1mm b cp: K =ng sut trong thp DL khi kch: fpj =
Chiu di tt neo : DL=
H s quy i ng sut F=
Tnh gn ng din tch ct thp: Apsg = 3.82705E+03
S b cp cn thit theo cng thc trn l: ncg = 5.53865787
chn 6 b 7T13 b tr nh phn 3 (Vt Liu)
9- Mt mt d ng sut (5.9.5)
Tng mt mt ng sut trc trong cc cu kin ko sau c xc nh theo iu 5.9.5.1.
Trong :Mt mt tc thi gm:
+ Mt mt do ma st
+ Mt mt do thit b neo :
+ Mt mt do co ngn n hi :
Mt mt theo thi gian gm:
+ Mt mt do co ngt :
+ Mt mt do t bin ca btng :
35KN 145KN
4300mm 4300mm ti 9000mm
145KN
pRpCRpSRpESpApFpT fffffff D=
pFf
pAf
pFD
pSRF
pCRF
pRpCRpSRpESpApFpT fffffff D=
pFf
pAf
pFD
pSRF
pCRF
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+ Mt mt do do ca thp :
9.1- Ma st (5.9.5.2.2)
Mt mt do ma st gia cc b thp ng sut trc v ng bc c tnh theo cng thc sau:
.
Trong :
x - Chiu di b thp ng sut trc t u kch n im ang xt (mm).
K - H s ma st lc trn mm ca b cp.m - H s ma st.
a - Tng gi tr tuyt i thay i gc ca ng cp ng sut trc t u kch gn nht
n im ang xt.
chiu di cc on cpL= 3000 cm
f= 77 68 59
K/c x(cm) 1 2 3
u dm 0.0 0.00 0.00 0.00gi 40.0 4.05 3.58 3.10
100.0 9.92 8.76 7.60MC 0.72H 148.0 14.44506311 12.8 11.06829511
MC 1.5m 190.0 18.27124444 16.1 14.00004444
200.0 19.16 16.92 14.68
300.0 27.72 24.48 21.24400.0 35.59 31.43 27.27500.0 42.78 37.78 32.78600.0 49.28 43.52 37.76700.0 55.10 48.66 42.22
L/4 770.0 58.76297778 51.9 45.02617778800.0 60.23 53.19 46.15900.0 64.68 57.12 49.561000.0 68.44 60.44 52.441100.0 71.52 63.16 54.801200.0 73.92 65.28 56.64
1300.0 75.63 66.79 57.951400.0 76.66 67.70 58.74
L/2 1500 77 68 59
y(cm)
aD = KxpjpF e1ff
pRF
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Mt ct B 1 B 2 B 3
u dm 0.0 0.0 0.0Gi 40.2 40.2 40.1
0.72 H 148.7 148.5 148.4
1.5 m 190.9 190.7 190.5
L/4 772.3 771.8 771.4
L/2 1502.6 1502.1 1501.5Chiu di 3005.3 3004.1 3003.1
Tnh cho b 1DfpF=A*fpj A=1-e^(-(kx+ma)) k=
Mt ct Mc L/2 Mc L/4Khong cch tnh t im t kch (cm) 1500.0 770.0
x (mm) 15026 7723
a (Radian) 0.102 0.052kx+ma 0.030 0.016DfpF=1-e^(-(kx+ma)) 0.030 0.015fpj (Mpa) 1395 1395
pF = 41.74 21.56
Tnh cho b 2DfpF=A*fpj A=1-e^(-(kx+ma)) k=
Mt ct Mc L/2 Mc L/4
Khong cch tnh t im t kch (cm) 1500.0 770.0
x (mm) 15021 7718a (Radian) 0.090 0.046kx+ma 0.028 0.014
A=1-e^(-(kx+ma)) 0.028 0.014fpj = (Mpa) 1395 1395
pF= 38.51 19.89
Tnh cho b 3DfpF=A*fpj =1-e^ - x+ma)) k=
Mt ct Mc L/2 Mc L/4
Khong cch tnh t im t kch (cm) 1500.0 770.0
x (mm) 15015 7714
a (Radian) 0.079 0.040kx+ma 0.026 0.013
A=1-e^(-(kx+ma)) 0.025 0.013fpj= Mpa 1395 1395
pF = (Mpa) 35.27 18.21
Bng tnh x (cm)
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Tnh cho b 4DfpF=A*skt A=1-e^(-(kx+ma)) k=
Mt ct Mc L/2 Mc L/4Khong cch tnh t im t kch (cm) 1500.0 770.0
x (mm) 15011 7710
a(Radian) 0.067 0.034kx+ma 0.023 0.012
A=1-e^(-(kx+ma)) 0.023 0.012fpj= 1395 1395
pF= (Mpa) 32.02 16.52
Tnh cho b 5DfpF=A*fpj A=1-e^(-(kx+ma)) k=
Mt ct Mc L/2 Mc L/4
Khong cch tnh t im t kch (cm) 1500.0 770.0x (m) 15004 7704
a (Radian) 0.040 0.021kx+ma 0.020 0.010
A=1-e^(-(kx+ms)) 0.020 0.010fpj = Mpa 1395 1395
pF= (Mpa) 28.03 14.46
Tnh cho b 6DfpF=A*fpj A=1-e^(-(kx+ma)) k=
Mt ct Mc L/2 Mc L/4
Khong cch tnh t im t kch (cm) 1500.0 770.0
x (m) 15000 7700a (Radian) 0.013 0.007kx+ma 0.013 0.007
A=1-e^(-(kx+ms)) 0.013 0.007fpj = Mpa 1395 1395
pF= (Mpa) 18.52 9.54
M t m t ma st tng cng DfpF
Mc L/2 Mc L/4
1500.0 770.032.35 16.70
9.1- t mt o t t neo : D pA=D
Mt ct
Khong cch tnh t im t kch (cm)DfpF (Mpa)
pRF
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D = (cm) 0.6 0.6
Ltb (cm) 3002.6 3002.6D
pA=
(Mpa) 39.366 39.366
9.3-Co ngn n hi (5.9.5.2.3)
Mt mt do co ngn n hi v bn cht l khi cng b sau s gy mt mt cho b trc.
Trong :
Ep - M un n hi ca thp DL(Mpa)
Eci -M un n hi ca BT lc truyn lc(Mpa)
N - S lng cc b thp ng sut trc ging nhau.
- Tng ng sut btng trng tm cc b thp ng sut trc do lc ng sut trcsau kch v t trng ca cu kin cc mt ct c mmen max (Mpa)
F - Lc nn trong btng do ng sut trc gy ra ti thi im sau khi kch, tc l xy ra
mt mt do ma st v tt neo.
e - lch ca trng tm cc b thp so vi trc trung ho ca tit din.
- Tng din tch ca cc b cp ng sut trc.
A -Din tch mt ct ngang dm (giai doan I)
Mt ct Mc L/2 M/c (0.72H)
6 6
5.80 5.80Mpa 21.59 16.32
KG 5.49E+05 5.55E+05cm 41.46 41.46
cm2 4775.35 4775.35cm 61.0 42.8KG.cm 1.29E+07 9.65E+06
cm4
1.24E+07 1.28E+07Mpa 52.14 39.41
1Mpa=10KG/cm21N.mm=10- KG.cm
Ae
MTTBT
IDfpES
FAps
N
Ep/Ecifcgp
cgpci
ppES f
E
E
N2
1Nf
=
cgpf
eI
M
I
eF
A
Ff TTBTcgp .
.2
=
pSpApFpj AfffF D=
pSA
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9.4- Mt mt do co ngt (5.9.5.4.2)
Mt mt do co ngt btng trong cu kin ko sau c xc nh theo cng thc:
Trong :
H - m tng i bao quanh kt cu, c ly trung bnh hng nm.
Ly H = 80 %
Mt ct Mc L/2 M/c (0.72H) M/c (1.5m)DfpSR 25.0 25.0 25.0
9.5. Mt mt do t bin (5.9.5.4.3).
Trong :
- Tng ng sut btng trng tm cc b thp ng sut trc do lc ng sut trc sau kchv t trng ca cu kin cc mt ct c mmen max (MPa).
- Thay i trong ng sut btng ti trng tm thp ng sut trc do ti trng thng xuyn,
tr ti trng tc ng vo lc thc hin cc lc ng sut trc
Mc L/2 M/c (0.72H)Mpa 21.59 16.32
KN.m 1267.01 950.26
KN.m 371.59 278.69
cm 58.06 40.71
cm 90.6 75.5
cm4 1.33E+07 1.32E+07cm4 2.66E+07 2.85E+07Mpa 6.81 3.66Mpa 211.45 170.23
9.6. Mt mt do t chng ca DL(mt mt do do thp (5.9.5.4.4)).
Trong :
- Mt mt do do lc truyn lc- Mt mt sau khi truyn.
9.6.1 Mt mt do do lc truyn lc (5.9.5.4.4b). i vi DL cng sau th
9.6.2. Mt mt do do thp sau khi truyn(5.9.5.4.4c).
DfcdpDfpCR
Mt ct
Mtxlh
e2
e2'
I2I2'
Mtx
fcgp
H85.093fpSR =
cdpcgppCR f7f12f D=
cgpf
cdpf
2pR1pRpR fff D=
1pRfD
1pRf
. D
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Vi thp t do cho cu kin ko sau mt mt do do thp sau khi truyn c tnh nh sau:
#REF! Mc L/2 Mc L/4DfpF 32.35 16.70DfpES Mpa 52.14 39.41DfpSR Mpa 25.00 25.00DfpCR Mpa 211.45 170.23D pR2 Mpa 18.04 23.45
9.7 .Tng hp cc mt mt ng sut
#REF! Mc L/2 Mc L/4DfpF 32.35 16.70DfpA #REF! 39.37 39.37DfpES Mpa 52.14 39.41DfpSR Mpa 25.00 25.00DfpCR Mpa 211.45 170.23DfpR2 Mpa 18.04 23.45
pT Mpa 378.35 314.16
27% 23%10 - Kim ton theo cc trng thi gii hn (5.5)
10.1. Kim tra theo trng thi gii hn s dng . (5.5.2)
Cc vn c kim ton trong trng thi gii hn s dng phi l nt , bin dng v ng sut trc trong B
10.2 Kim tra theo trng thi gii hn cng (5.5.4)
Trng thi gii hn cng dng kim ton cc mt cng v n nh
10.2.1 Kim tra theo iu kin cng
10.2.1.1 sc khng un danh nh (5.7.3.2)
Cn c vo iu 5.7.3.2 ta kim tra theo cng thc:(5.7.3.2.1-1)
Trong :f - H s sc khng, theo iu ( 5.5.4.2)
f = 1.0 (Dng cho un v ko b tng cfpe = 1016.6 Mpa >
Sc khng un danh nh ca tit din mt ct T :
- Tng din tch cc b thp ng sut trc, mm2.
- ng sut trung bnh trong thp ng sut trc sc khng danh nh, MpaTnh theo phn tch 5.7.3.1.1:
% mt mt
pSRpESpF2pRf2,0f4,0f3,0138
100
30f D=
.
.
nuMM f
=
2ahbb'f85,0
2adfAM f1wcppSpSn
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Vi :
c - Khong cch t trc trung ho n mt chu nn, mm.
- Khong cch t th ngoi cng chu nn n trng tm cc b thp ng sut trc, mm.
b - Chiu rng cnh chu nn, mm.bw - Chi u rng bn bng, mm.
b1 - H s quy i khi ng su t, b1 = 0.764285714
- Chiu dy cnh chu nn ca cu kin, l chiu dy quy i t cnh trn ca dm T, mm.a - Chi u dy khi ng su t tng ng, a = c.1 , mm.
Trng hp trc trung ho i qua sn (chi u dy cnh chu nn hf > c)
Khi c th coi l mt ct hnh ch nh t. Theo i u 5.7.3.2.3 khi chi u dy c nh chu nn hf > c
xc nh theo phng trnh trn th sc khng un danh nh Mn c th xc nh theo cc phng trn
(5.7.3.1.1-1 n 5.7.3.2.2-1) trong bW phi thay bng b.Trong bng t nh di trng hp trc trung ho i qua sn n u c < hf th p dng cng thc t nh cho trn
hp trc trung ho i qua sn.
mt ctTham s Mc L/2 Mc L/4 Mc 1.5m
f'c (Mpa) 40 40 401 0.76 0.76 0.76
b mm 1871 1871 1871
bw (mm) 200 200 200hf (mm) 247 247 247fps (MPa) 2041.43 2055.57 2097.08
k 0.28 0.28 0.28
(Vi mt ct hnh T) c1 (mm) -453 -445 -422
(Vi mt ct hnh ch nht) c2 (mm) 154 154 152
V tr trc trung ho cnh cnh cnh
c (mm) 154 154 152
a (mm) 118 117 117jMn (N.mm) 1.20E+10 1.11E+10 9.11E+09Mu (N.mm) 8.17E+09 6.21E+09 1.63E+09
Kt lun jMn Mu t t t
=
p
pupS
d
ckff 1
=
=
pu
py
f
fk 04,12
p
pu
pSwc
fwcpSpS
d
fkAbf
hbbffAc
=
'85,0
'85,0
1
1
pd
fh
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10.2.2.2 kim tra hm lng ct thp ng sut trc (5.7.3.3)10.2.2.2.1 kim tra lng ct thp ti a theo cng thc
de :khong cch c hiu tng ng t th nn ngoi cng n trng tm ca ct thp chi ko
10.2.2.2.2 lng ct thp ti thiu phi tho mn iu kin:
Mcr :sc khng nt (Mmen nt)
Ig : m men qun t nh ca mt ct nguyn i vi trng tm khng t nh ct thp (5.7.3.6.2)
yt : khong cch t th chu ko ngoi cng n trc trung ho
fr :cng chu ko khi un (5.4.2.6)kt qu tnh ton
Mt ct Mc L/2 Mc L/4
c (mm) 154 154de (mm) 1480 1364
c/de 0.10 0.11
kt qu t t
fr Mpa 3.98 3.98Ig mm4 1.24E+11 1.28E+11yt (mm) 810 744
1.2Mcr N.mm 7.34E+08 8.25E+08
Mu N.mm 8.17E+09 8.17E+09Mn N.mm 1.20E+10 1.11E+10
kt qu t t
10.2.3 kim ton sc khng ct cho tit din
Kim ton theo cng thc:
(5.8.2.1-2)
f - H s sc khng ct c xc nh theo quy nh trong (iu 5.5.4.2.)f = 0.9 (Dng cho ct v
Vn - Sc khng ct danh nh c xc nh theo quy nh ca (i u 5.8.3.3,)
Ly theo tr s nh hn ca : Vn = Vc +Vs +VpVn = 0.25 f'c bv dv +Vp
ti a
ti thiu
f
42.0
ed
c
PSPS
pPSPS
efA
dfAd
.
.=
rt
gcr f
y
IM =
nu VV F
r cr uM > min ( 1,2M ; 1,33M )
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trong :
Vc - Sc khng ct danh nh do ng sut ko trong BT (5.8.2.4 or 5.8.3.3)
Vs - sc khng ct ca ct thp chu ct (5.8.3.3)
y:dv - Chi u cao chu ct c hiu c xc nh trong i u 5.8.2.7, (mm).
bv - B rng bng c hiu, l y bng b rng ln nh t trong chi u cao dv. L y theo i u 5.8.2.7, (mm)
s - C ly ct thp ai, (mm). - H s ch kh nng btng b nt cho truyn lc ko c quy nh trong iu 5.8.3.4.
q - Gc nghing ca ng sut nn cho c xc nh trong iu 5.8.3.4. (). Khi tnh, gi thit trc gc
a - Gc nghing ca ct thp ai i vi trc dc (). Nu ct ai thng ng, a = 0.Av - Di n t ch ct thp chu ct trong c ly s (mm ).
Vp - Thnh phn lc ng su t trc c hi u trn hng lc ct tc dng, l dng n u ngc chi u lc ct (N)
10.2.3.1. Xc nh Vp.
: Din tch 1 b cp, mm2.
: ng sut trong cp sau mt mt, gi tr ng vi mi mt ct.ai : Gc lch ca cp i so vi phng ngang.
Mc L/2 Mc L/4 Mc 1.5m
Apsi (din tch mt b) mm2 691.0 691.0 691.0fpe Mpa 1016.65 1080.84 1121.75
b1 0.000 0.050 0.089b2 0.000 0.044 0.079
b3 0.000 0.038 0.069
b4 0.000 0.032 0.058
b5 0.000 0.019 0.035b6 0.000 0.006 0.012
Ssinai 0.000 0.191 0.341Vp N 0 -142360 -264663
phn ny cha sa
b1 1 0.998754109
b2 1 0.999027936b3 1 0.999267955
b4 1 0.999474094b5 1 0.999810578b6 1 0.999978948
sin(ai)
Mt ct
Lc nn dc trc do ct thp
cos(ai)
cc fV '083,0 =
s
gdfAV
vyv
s
qcot =
1
.p psi pe i
i
V A f Sina=
= psiA
pef
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6 5.996313621fp.Scos(ai) 6099.8899 6481.05465
10.2.3.2 xc nh dv v bvchiu cao chi ct dv
vi : a=1.c (b t nh phn t nh chk t qu t nh ton nh sau:
Mt ct Mc L/2 Mc L/4 Mc 1.5mde-a/2 mm 1421 1305 10480.9de mm 1332 1228 9960.72 h mm 1080 1080 1080
chn dv mm 1421 1305 1080
B rng chu ct c hiu ca tit din : bvb rng chu ct c hiu ta s ly bng chiu rng ca bn bng
10.2.3.3 xc nh q v (5.8.3.4)s liu c tra t bng 5.8.3.4.2-1 xc nh c q v ta phi thng qua cc gi tr sau v/f'c v ex.trong
v : ng su t ct trong btng xc nh theo cng thc
suy ra
ng bin trong ct thp pha chu ko do un ca cu kin phi xc nh theo :
Nu gi tr eX tnh t phng trnh (5.8.3.4.2-1) l m th gi tr tuyt i ca n phi c gim
i bng cch nhn vi h s Fe l y theo:
Trong :AC din tch b tng pha chu ko un ca cu kin nh- ch ra trong hnh 3 (trang 50-ph
- ng sut trong thp ng sut trc khi ng sut trong btng xung quanh n bng 0.
DL gy raScos(ai)
vv
pu
db
VVv
j
j=
'c
v
f
0, 5 cot
0.002
uu ps po
vx
s s p ps
MV g A f
d
E A E A
q
e
=
PSPcc
PSP
AEAE
AEF
=e
pof
p
po pe pc
c
Ef f f
E=
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fpe - ng sut c hiu trong thp ng sut trc sau mt mt.
fPe =0.8 fPY = 1339.2 Mpa
fPe = fPj - fpT- ng sut nn ti trng tm tit din,
K t qu t nh v/fC
Mt ct Mc L/2 Mc L/4 Mc 1.5mVu (N) 271569 744447 1139765
j 0.90 0.90 0.90bv mm 200.0 200.0 200.0
dv mm 1421.2 1305.2 1080.0v N 1.061615598 3.71395592 7.088282159
v/f'c 0.027 0.093 0.177
xc nh c eX i gi inh q = 27Cotang(q) = 1.9626
fpc = F/A =
K t qu t nh ton eX :
Mt ct Mc L/2 Mc L/4 Mc 1.5mfpe Mpa 1017 1081 1122F (N) 4214841 4480967 4650566
A mm2 838310 838310 838310
fpc Mpa 5.03 5.35 5.55fpo Mpa 987.51 1049.86 1089.60
Mu (N.mm) 8.17E+09 6.21E+09 1.63E+09dv mm 1421 1305 1080
Vu (N) 271569 744447 1139765cotg(q) 1.96 1.96 1.96
Aps mm2 4146 4146 4146Es Mpa 200000 200000 200000
As mm2 0 0 0Ep Mpa 197000 197000 197000Nu N 0 0 0ex 0.0024 0.0014 -0.0023
mt ct no c ex < 0 nn gi tr tuyt i ca n phi c ly nh sau:
eX = eXFe
Mt ct Mc L/2 Mc L/4 Mc 1.5m
pcf
pe
pc
Ff
A=
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Ac (mm2) 280874.0 280874.0 280874.0Fe 0.079 0.079 0.079
ex 0.0024 0.0014 -0.00021000*ex 2.35 1.39 -0.18
Tra hnh 5.8.3.4.2-1 ta c:Mt ct Mc L/2 Mc L/4 Mc 1.5m
q 43 39 22 1.7 2.02 4.32
vy gi tr q t nh c gn st vi gi thi t do 10.2.3.4.Tnh Vc v Vs
Chn ct ai chng ct. d dng thi cng, chn ct ai c ng knh khng i, nhng khong cch gia cc ct ai
th thay i theo s gim ca lc ct theo chiu di dm.S l bc ct ai b tr ti mt ct tnh ton.
Trong :AV - din tch ct thp ngang trong c ly s , mm2.
S - c ly gia cc ct thp aiThay cc s liu vo phng trnh trn ta c:
Da vo kt qu tnh cc thng s thnh phn tnhVc v Vs10.2.3.5.Tnh sc khng danh nh ca tit din .
Theo cng thc nu trn tnh Vn. Kt qu trong bng s
K t qu t nh ton :
Mt ct Mc L/2 Mc L/4 Mc 1.5mS(mm) 250 200 150bv (mm) 200.0 200.0 200.0
fy 400.0 400.0 400.0
f'c 40.0 40.0 40.0
AVmin=(mm2) 65.6 52.5 39.4Vc 256629.6 276644.9 490079.7Vs 160000.9 170183.1 285624.3
Vn1 416630.5 304468.2 511040.8Vn2 2842301.9 2468125.6 1895336.8
min(Vn1,Vn2) 416630.5 304468.2 511040.8Vn 374967.4 274021.4 459936.7Vu 271568.9 744446.7 1139765.2
K t lun t khng t khng t
10.2.3.6. Kim tra li b tr ct ai.
Mt ct Mc L/2 Mc L/4 Mc 1.5m
y
vCv
f
sbfA '083.0min =
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Vu 271568.9 744446.7 1139765.20,1*fc*bv*dv 1136920.8 1044194.2 864000.0
Smax 600.0 600.0 300.0Scd 250.0 200.0 150.0
2L
DC
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2L
DC
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...
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SySd
MA=
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=
nMMf=
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TR S N V0
30 m
29.2 m
12.0 m
8 m
0.25 m
1.5 m
0.25 m
Mt Ct Gi
7828 cm2
77.6 cm
607679 cm3
62480714 cm4
15307233 cm4
t Ct 0.72H
7322 cm2
77.9 cm
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i Hc Giao Thng Vn Ti
570278
59247552 cm4
14830920 cm4
t Ct 1.5m
4945 cm2
78.9 cm390085
43805811 cm4
13034060 cm4
Mt ct L/4
4945 cm2
78.9 cm390085
43805811 cm4
13034060 cm4
Mt ct L/2
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i Hc Giao Thng Vn Ti
4945 cm2
78.9 cm
39008543805811 cm4
13034060 cm4
1.5m 0.72H Gi
150 108 0
150 150 15020 20 20
15 2.4 015 2.4 0
85.000 103.648 107.200
14.00 14.00 14.00
4.00 4.00 4.00
50 50 50
20 45.2 50
12.0 6.0 4.8
25 12.4 1070 70 70
50 50 500 12.6 15
7.5 1.2 0.0
6.0 3.0 2.4
2.4 0.8 0.0
70.0 70.0 70.0
22.4 17.8 16.4
20.0 45.2 50.0
100.1 111.0 113.6
50.0 50.0 50.027.5 21.2 20.0
2 m
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i Hc Giao Thng Vn Ti
1 m
1253.901664 kG/m
625 dm
0.200 m
1.260 m
0.18 m
0.07 m
125 kg/m502.9 kg/m
3 >30.85 0.65
yc 2500 Kg/m
fc' 35 Mpafc 40 Mpafci' 36 Mpa
fr 3.98446985 Mpa
Ec 33994.4848 Mpa (5.4.2.4)
ng thp
1 tao 7 si
mt b cp g 7 tao
5.8sang b tng
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(mm-1) (5.9.5.2.2b)Mpa 75.0 %
m
Mpa 400Mpa 200000.0
kg/m3kg/m3
Mpa
N 3 N 4 N 5 N 6 y mu xanf y f y f y f y nh dm
59.0 130.0 50.0 141.0 30.0 141.0 10.0 141.0
59.0 116.0 50.0 129.2 30.0 133.9 10.0 138.6
59.0 85.0 50.0 102.9 30.0 118.1 10.0 133.459.0 82.1 50.0 100.4 30.0 116.6 10.0 132.9
59.0 74.1 50.0 93.6 30.0 112.6 10.0 131.559.0 71.0 50.0 91.0 30.0 111.0 10.0 131.0
a (rad) a () sina y (cm) h (cm) h l tung tnh t
0.00 0.00 0.00 108.0 42.0 y dm0.00 0.00 0.00 119.0 31.0
0.00 0.00 0.00 130.0 20.0
0.00 0.00 0.00 141.0 9.0
0.00 0.00 0.00 141.0 9.0
tt/2
X
f
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0.00 0.00 0.00 141.0 9.0
0.05 2.86 0.05 89.8 60.20.04 2.53 0.04 102.9 47.1
0.04 2.19 0.04 116.0 34.0
0.03 1.86 0.03 129.2 20.8
0.02 1.12 0.02 133.9 16.10.01 0.37 0.01 138.6 11.4
0.09 5.12 0.09 49.3 100.7
0.08 4.53 0.08 67.1 82.9
0.07 3.93 0.07 85.0 65.0
0.06 3.33 0.06 102.9 47.1
0.03 2.00 0.03 118.1 31.90.01 0.67 0.01 133.4 16.6
0.09 5.29 0.09 45.4 104.6
0.08 4.67 0.08 63.8 86.2
0.07 4.06 0.07 82.1 67.9
0.06 3.44 0.06 100.4 49.6
0.04 2.06 0.04 116.6 33.40.01 0.69 0.01 132.9 17.1
0.10 5.71 0.10 35.1 114.9
0.09 5.04 0.09 54.6 95.4
0.08 4.38 0.08 74.1 75.90.06 3.71 0.06 93.6 56.4
0.04 2.23 0.04 112.6 37.40.01 0.74 0.01 131.5 18.5
0.10 5.86 0.10 31.0 119.0
0.09 5.18 0.09 51.0 99.0
0.08 4.50 0.08 71.0 79.0
0.07 3.81 0.07 91.0 59.0
0.04 2.29 0.04 111.0 39.00.01 0.76 0.01 131.0 19.0
Mc Gi Mc u S cp
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dm (cm2)40 0
114.9 119.0 6.9195.4 99.0 6.91
75.9 79.0 6.91
56.4 59.0 6.91
37.4 39.0 6.91
18.5 19.0 6.91
2753.7 2860.6 41.46
66.4 69.0
83.6 81.0
101.6 99.0
8.578488889 6
M/c (1.5m) M/c (0.72H) M/c (Gi)
20 45.2 50 (cm)
112.000 112.000 112.000 (cm)
1600 1800
B 1B 2B 3
B 4B 5B 6
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2240 5062.4 5600 (cm2)
70 70 70 (cm)
14 14 14.00 (cm)980 980 980 (cm2)
50 50 50 (cm)4 4 4 (cm)
200 200 200 (cm2)
50 50 50 (cm)
20 20 20 (cm)
1000 1000 1000 (cm2)
25 12.4 10 (cm)
12 5.952 4.8 (cm)
300 73.8048 48 (cm2)
15 2.4 0 (cm)15 2.4 0 (cm)
225 5.76 0 (cm2)
-169.65 -169.65 -169.65 (cm2)
4775.35 7152.32 7658.35 (cm2)
4945.00 7321.96 7828.00
76 76 (cm)
139 139 (cm)
148 148 (cm)10 10 (cm)
128 130.4 (cm)25 20 (cm)
59.8 66.4 (cm)
384742.4 425600 (cm3)
136220 136220 (cm3)
29600 29600 (cm3)
10000 10000 (cm3)
9447.0144 6259.2 (cm3)
144 0 (cm3)-10146.14 -11268.14 (cm3)
530407.28 566811.06 (cm3)
570153.41 607679.2074.2 74.0 (cm)
75.8 76.0 (cm)
14.4 7.6 (cm)
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5291895.467 5853866.67 (cm4)
16006.66667 16006.6667 (cm4)266.6666667 266.666667 (cm4)
33333.33333 33333.3333 (cm4)
145.2572934 61.44 (cm4)
1.8432 0 (cm4)
-381.703507 -381.70351 (cm4)
17161.88458 22129.2151 (cm4)
4120295.368 4138955.37 (cm4)
1090504.976 1094841.12 (cm4)
4116349.826 4097552.19 (cm4)213950.9871 152620.435 (cm4)
13919.53677 0 (cm4)
-34939.2798 -9774.5658 (cm4)
14878510.83 15399476.8 (cm4)
14913832 15409633
200630 208066.9 (cm3)
196180 202657 (cm3)1036751 2028752 (cm3)
7152.32 7658.35 (cm2)
240.25 240.25 (cm2)
7392.57 7898.61 (cm2)
3447.89 1823.67 (cm3)
0.47 0.23 (cm)
73.69 73.78 (cm)
76.31 76.22 (cm)
13.88 7.36 (cm)
1.49E+07 1.54E+07 (cm4)
1555.83 408.25 (cm4)4.63E+04 1.30E+04 (cm4)
1.49E+07 1.54E+07 (cm4)
2.03E+05 2.09E+05 (cm3)
1.96E+05 2.02E+05 (cm3)
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1.08E+06 2.09E+06 (cm3)
Gi
50 cm
70 cm266 cm200
cm
133 cm
200 cm
187.1 cm
187.1 cm
Gi
150.0 cm
70.016.4
50.0
113.6
50.020.0
187.120.39
7392.6 7898.6 (cm2)
' '
h'b'
Mt ct lin hp quy i
Y
Z
b2
X
h1
h2
h3
b3
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3367.5 3367.5 (cm2)
10760.1 11266.1 (cm2)
287272.7 286973.5 (cm3)26.7 25.5 (cm)
100.4 99.3 (cm)67.6 68.7 (cm)
40.6 32.8 (cm)
1.49E+07 1.54E+07 (cm4)
5.27E+06 5.12E+06 (cm4)9.09E+04 9.09E+04 (cm4)
1.16E+07 1.20E+07 (cm4)
3.19E+07 3.26E+07 (cm3)
3.17E+05 3.29E+05 (cm3)
4.71E+05 4.75E+05 (cm3)7.85E+05 9.94E+05 (cm3)
(3.4.1-1)
lc
(1.3.2.1-1)
(1.3.2.1-2)
(1.3.2.1-3)
hc.
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n thy
a
ng
n ny.
quy nh vt qu nhng
c khc.
c
uy
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1.30E+11 801.152679
n = 1.06904497
2000
292004.78647E+11
1806
0.4252584360.5940272070.5940272070.333333333
S = 2.000 m1.3750.625
0.50.2
0.12
y2) = 1.2
x m = 0.1
nam trong pham vi ap dung
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ieu dai nhip tinh toan)
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0.0 kg/m
m
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i Hc Giao Thng Vn Ti
m
m
mm
c trng)
MDCdc(KN.m)
0.000
183.285
250.760
964.838
1286.451MDCb=DCb.g.
MDWb=DWb.g.
rong giai on khai thc;
DWb MDCb MDWb
(KN/m) (KN.m) (KN.m)
2.627118 0.000 0.000
2.627118 423.921 39.892
2.627118 579.985 54.578
2.627118 2231.581 209.999
2.627118 2975.441 279.998
MDCb=DCb.g.
MDCvkb=DCvkb.g.
MDCb
(KN.m)
0.000
157.291
215.197
828.0031104.004
M
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DWb MDCb MDWb
(KN/m) (KN.m) (KN.m)
2.627118 0.000 0.000
2.627118 467.283 39.892
2.627118 639.311 54.578
2.627118 2459.846 209.999
2.627118 3279.794 279.998
DWg MDCg MDWg
(KN/m) (KN.m) (KN.m)
3.486 0.000 0.000
3.486 363.800 52.941
3.486 497.731 72.431
3.486 1915.098 278.691
3.486 2553.464 371.588
MDCg=DCg.g.
MDCvk=DCvk.g.
MDCg
(KN.m)
0.000
180.515
246.971
950.2601267.013
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i Hc Giao Thng Vn Ti
bin
MDWg
(KN.m)0.000
52.941
72.431
278.691
371.588
c mt ct c trng)
VDCdc=DCdc.g.
(m ) DCdc(KN/m) VDCdc(KN.m)
14.600 12.0702853 176.226
13.520 12.0702853 163.190
13.100 12.0702853 158.121
7.300 12.0702853 88.113
0.000 12.0702853 0.000
VDCb=DCb.g.
DCb DWb VDCb VDWb
(KN/m) (KN/m) (KN.m) (KN.m)14.6 27.9174458 2.627118 407.595 38.356
13.52 27.9174458 2.627118 377.444 35.519
13.1 27.9174458 2.627118 365.719 34.415
7.3 27.9174458 2.627118 203.797 19.178
0 27.9174458 2.627118 0.000 0.000
DCg DWg VDCg VDWg
(KN/m) (KN/m) (KN.m) (KN.m)14.6 23.9581911 3.486474 349.790 50.903
13.52 23.9581911 3.486474 323.915 47.137
(m2)
(m2)
V
V
V
V
V
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i Hc Giao Thng Vn Ti
13.1 23.9581911 3.486474 313.852 45.673
7.3 23.9581911 3.486474 174.895 25.451
0 23.9581911 3.486474 0.000 0.000
nh ti cc mt ct c trng:
45yM2+35.yM3 (kN)
yM5.110 (kN)
tandem)
Mtruck1 Mtandem1 Mxetk
(kNm) (kNm) (kNm)
0.000 0.000 0.000 0.000 0.000 0.000
0.722 303.824 1.040 0.996 223.930 303.824
0.981 414.966 1.423 1.361 306.267 414.966
3.325 1548.250 5.475 5.175 1171.500 1548.250
3.000 1910.250 7.300 6.700 1540.000 1910.250
45yM2+35.yM3 (kN)
yM5.110 (kN)
tandem)
Mtruck1 Mtandem1 Mxetk
(kNm) (kNm) (kNm)
0.000 0.000 0.000 0.000 0.000 0.000
0.000 278.555 0.462 1.018 162.812 278.5550.000 380.625 0.854 1.392 247.048 380.625
2.250 1510.625 5.025 5.325 1138.500 1510.625
5.150 1985.500 7.000 7.000 1540.000 1985.500
men do xe thit k:
Mxetk1(kNm) Mxetk2(kNm) Mxetk(kNm)
0.000 0.000 0.000303.824 278.555 303.824
414.966 380.625 414.966
1548.250 1510.625 1548.250
1910.250 1985.500 1985.500
yM4
yM3 yM4 yM5
yM5yM3
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i Hc Giao Thng Vn Ti
ri u trn sut chi u di cu Mln=qln.
qln(kN/m) Mlanx(KN.m)9.3 0.000
9.3 141.219
9.3 193.208
9.3 743.396
9.3 991.194h gy ra ni lc trong dm bin.
MPLx=PL.B3.
B3(m) PL(kN/m ) MPLx(KN.m)
1.5 4.5 0.000
1.5 4.5 102.4971.5 4.5 140.231
1.5 4.5 539.561
1.5 4.5 719.415
lanx+gmbPL.MPLx
MPLx(kNm) MLLb(kNm) 0
0.000 0.000 0
102.497 182.692 0
140.231 249.843
539.561 954.051
719.415 1260.242
gPL2.MPLx tai trong nguoi di do dam bien chiu 0
MPLx(kNm) MLLg(kNm) 0
0.000 0.000 Tai sao cau co 2 lan ma ko nhan HL voi 2
102.497 343.653
140.231 469.640
539.561 1771.079
719.415 2302.902
bt li sau:
M
M
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Vtruck=145.yV1+145yV2+35yV3Vtandem=110(yV4+yV5)
yV4 yV5 Vtruck Vtandem Vxetk
(m) (m) (kNm) (kNm) (kNm)
1.000 0.959 293.339 215.479 293.339
0.963 0.922 281.318 207.342 281.318
0.949 0.908 276.644 204.178 276.644
0.750 0.709 212.089 160.479 212.089
0.500 0.459 130.839 105.479 130.839
t ti trn ng nh hng dng.
qlanx(kN/m) PL(kN/m ) B3(m) Vlanx(kN) VPLx(kN)
9.3 3 1.5 135.780 65.700
9.3 3 1.5 125.922 60.9309.3 3 1.5 122.188 59.123
9.3 3 1.5 76.376 36.956
9.3 3 1.5 33.945 16.425
+gvbPLVPLxGvbHL=gHL1 0
Vlanx(kN) VPLx(kN) VLLb(kN) GvbPL=gPL1 0
135.780 65.700 136.419 Gvbln=gLn1 0
125.922 60.930 127.906
122.188 59.123 124.663
76.376 36.956 83.79833.945 16.425 42.730
gvg = 0gvgPL = 0
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i Hc Giao Thng Vn Ti
Vlanx(kN) VPLx(kN) VLLg(kN)
135.780 65.700 383.977
125.922 60.930 364.455122.188 59.123 356.952
76.376 36.956 258.401
33.945 16.425 147.793
MuCD1g= (1.75 MLLg+1.25MDCg+1.5MDWg)
VuCD1g= (1.75 VLLg+1.25VDCg+1.5VDWg)
MuCD2g= (0 MLLg+1.25MDCg+1.5MDWg)
VuCD2g= (0 VLLg+1.25VDCg+1.5VDWg)MuCD3g= (1.35 MLLg+1.25MDCg+1.5MDWg)
VuCD3g= (1.35 VLLg+1.25VDCg+1.5VDWg)
MuSDlg= (1MLLg+1MDCg+1MDWg)
VuSDlg= (1VLLg+1VDCg+1VDWg)
MuDBg= (0.5MLLg+1.25MDCg+1.5MDWg)
VuDBg= (1.75 VLLg+1.25VDCg+1.5VDWg)
MuCD1b= (1.75 MLLb+1.25MDCb+1.5MDWb)
VuCD1b= (1.75 VLLb+1.25VDCb+1.5VDWb)
MuCD2b= (0 MLLb+1.25MDCb+1.5MDWb)
VuCD2b= (0 VLLb+1.25VDCb+1.5VDWb)
MuCD3b= (1.35 MLLb+1.25MDCb+1.5MDWb)
VuCD3b= (1.35 VLLb+1.25VDCb+1.5VDWb)MuSDlb= (1MLLb+1MDCb+1MDWb)
VuSDlb= (1VLLb+1VDCb+1VDWb)MuDBb= (0.5MLLb+1.25MDCb+1.5MDWb)
VuDBb= (1.75 VLLb+1.25VDCb+1.5VDWb)
MuCD1b VuCD1b = 1.05
0.000 846.048
954.924 786.364
1306.278 763.279
5012.766 451.669
6661.959 78.5176661.959 846.048
0.000 595.379619.226 551.337847.191 534.210
Dm bin
h
h
h
h
h
h
h
h
h
h
h
h
h
h
h
h
h
h
h
h
h
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i Hc Giao Thng Vn Ti
3259.698 297.6894346.264 0.000
4346.264 595.3790.000 788.752
878.193 732.643
1201.344 710.920
4612.065 416.4746132.658 60.570
6132.658 788.752
0.000 611.488
678.831 567.912
928.627 551.037
3565.412 322.112
4741.466 44.867
4741.466 611.4880.000 666.999
715.140 618.487
978.359 599.658
3760.575 341.684
5007.891 22.433
5007.891 666.999
Gi
0.00E+00
chn dm gia l dm tnh duyt.
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( t chng do thp)
* 1 tao 7 si* mt b cp g 7 tao
0.2
6.6E-07 (mm-1) (5.9.5.2.2b)1395.0 Mpa 75.0 %
0.01 m
0.90
mm2
S
DD
S
DD
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i Hc Giao Thng Vn Ti
50.0 30.0 10.0 cm
4 5 6 1 2 3 4 5 6
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
2.63 1.58 0.53 40.20 40.16 40.12 40.09 40.03 40.00
6.44 3.87 1.29 60.29 60.22 60.17 60.12 60.04 60.00
9.4 5.62794667 1.9 48.2124 48.2 48.1248196 48.1 48.0323 48.0
11.9 7.11866667 2.4 42.1739 42.1 42.1021989 42.1 42.02645 42.0
12.44 7.47 2.49 10.04 10.03 10.02 10.02 10.01 10.00
18.00 10.80 3.60 100.37 100.29 100.21 100.15 100.06 100.0123.11 13.87 4.62 100.31 100.24 100.18 100.13 100.05 100.01
27.78 16.67 5.56 100.26 100.20 100.15 100.11 100.04 100.00
32.00 19.20 6.40 100.21 100.16 100.12 100.09 100.03 100.00
35.78 21.47 7.16 100.17 100.13 100.10 100.07 100.03 100.00
38.2 22.8946667 7.6 70.0959 70.1 70.0563139 70.0 70.01456 70.0
39.11 23.47 7.82 30.04 30.03 30.02 30.02 30.01 30.00
42.00 25.20 8.40 100.10 100.08 100.06 100.04 100.02 100.00
44.44 26.67 8.89 100.07 100.06 100.04 100.03 100.01 100.00
46.44 27.87 9.29 100.05 100.04 100.03 100.02 100.01 100.00
48.00 28.80 9.60 100.03 100.02 100.02 100.01 100.00 100.00
49.11 29.47 9.82 100.01 100.01 100.01 100.01 100.00 100.0049.78 29.87 9.96 100.01 100.00 100.00 100.00 100.00 100.00
50 30 10 100.001 100.0005 100.000344 100.0002 100.0001 100
Tructhang dung so voi day dam
dx
D
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1 2 3 1B 4 B 5 B 6 gi 4.052 3.578 3.105 1295.948
0.0 0.0 0.0 MC 0.72H 14.45 12.75668 11.0683 1285.55540.1 40.0 40.0 MC 1.5m 18.2712444 16.13564 14.00004 1281.729148.3 148.1 148.0 #REF! #REF! #REF! #REF! #REF!190.4 190.1 190.0 L/4 59 52 45 1241.237771.0 770.4 770.0 L/2 77 68 59 1223.0001501.1 1500.4 1500.03002.2 3000.8 3000.1
6.60E-07 m= 0.2
Mc 1.5m Mc 0.72H Mc Gi190.0 148.0 40.0
1909 1487 402
0.013 0.010 0.0030.004 0.003 0.0010.004 0.003 0.001
1395 1395 13955.34 4.16 1.13
6.60E-07 m= 0.2
Mc 1.5m Mc 0.72H Mc Gi
190.0 148.0 40.0
1907 1485 4020.011 0.009 0.0020.004 0.003 0.001
0.004 0.003 0.0011395 1395 13954.93 3.84 1.04
6.60E-07 m= 0.2
Mc 1.5m Mc 0.72H Mc Gi
190.0 148.0 40.0
1905 1484 401
0.010 0.008 0.0020.003 0.003 0.001
0.003 0.003 0.0011395 1395 13954.51 3.52 0.95
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6.60E-07 m= 0.2
Mc 1.5m Mc 0.72H Mc Gi190.0 148.0 40.0
1904 1483 401
0.008 0.007 0.0020.003 0.002 0.001
0.003 0.002 0.0011395 1395 13954.09 3.19 0.86
6.60E-07 m= 0.2
Mc 1.5m Mc 0.72H Mc Gi
190.0 148.0 40.01901 1481 400
0.005 0.004 0.0010.003 0.002 0.001
0.003 0.002 0.0011395 1395 13953.58 2.79 0.75
Mc 1.5m m= Mc Gi
Mc 1.5m Mc 0.72H Mc Gi
190.0 148.0 40.0
1900 1480 4000.002 0.001 0.0000.002 0.001 0.000
0.002 0.001 0.0001395 1395 13952.36 1.84 0.50
Mc 1.5m Mc 0.72H Mc Gi
190.0 148.0 40.04.14 3.22 0.87
D
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0.6 0.6 0.6
3002.6 3002.6 3002.6
39.366 39.366 39.366
M/c (1.5m) M/c (L/4) M/c (Gi)
6 6 6
5.80 5.80 5.8012.53 8.44 7.54
5.60E+05 5.61E+05 5.62E+0541.4582 41.4582 41.4582
4775.35 7152.32 7658.3516.1 14.4 7.6
2.51E+06 1.83E+06 0.00E+00
1.31E+07 1.49E+07 1.54E+0730.25 20.38 18.22
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M/c (L/4) M/c (Gi)25.0 25.0
M/c (1.5m) M/c (L/4) M/c (Gi)12.53 8.44 7.54
246.97 180.52 0.00
72.43 52.94 0.00
15.31 13.88 7.36
50.0 40.6 32.8
1.32E+07 1.49E+07 1.54E+072.83E+07 3.19E+07 3.26E+070.41 0.24 0.00
147.45 99.61 90.53
0.00
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Mc 1.5m Mc 0.72H Mc Gi4.14 3.22 0.87
30.25 20.38 18.22
25.00 25.00 25.00
147.45 99.61 90.5327.05 31.19 32.20
Mc 1.5m Mc 0.72H Mc Gi4.14 3.22 0.87
39.37 39.37 39.37
30.25 20.38 18.22
25.00 25.00 25.00
147.45 99.61 90.53
27.05 31.19 32.20273.25 218.77 206.19
20% 16% 15%
t thp DL)0.5*fpu 930.0 Mpa
(5.7.3.2.2-1)
pCRf
..
2hf
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(5.7.3.1.1-1)
(5.7.3.1.1-2)
(5.7.3.1.1-3)
(iu 5.7.2.2)
h trn
Mc 0.72H Mc Gi
40 400.76 0.76
1871 1871
452 500211 204
1862.91 1841.58
0.28 0.28
-5 30
152 152
cnh cnh
152 152
116 1167.91E+09 7.31E+09
1.19E+09 0.00E+00t t
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(5.7.3.3.1-1)
(5.7.3.3.1-2)
(5.7.3.6.2-2)
Mc 1.5m Mc 0.72H Mc Gi
152 152 1521106 1082 1016
0.14 0.14 0.15
t t t
3.98 3.98 3.981.31E+11 1.49E+11 1.54E+11
735 742 740
8.55E+08 9.59E+08 9.95E+08
8.17E+09 8.17E+09 8.17E+099.11E+09 7.91E+09 7.31E+09
t t t
xon)
(5.8.3.3-1)
(5.8.3.3-2)
,
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i Hc Giao Thng Vn Ti
q, sau tnh cc gi tr tra bng ngc li q v b, nu hai gi tr q gn bng nhau th c th chp nhn
.
Mc 0.72H Mc Gi
691.0 691.01176.23 1188.81
0.092 0.0990.081 0.088
0.071 0.076
0.060 0.065
0.036 0.0390.012 0.0130.352 0.380
-286367 312408
0.996004418 0.99574576 0.9950442
0.996879753 0.99667748 0.99612870.997648324 0.99749569 0.9970814
0.998309383 0.99819954 0.99790130.999390389 0.99935071 0.9992430.99993221 0.99992779 0.9999158
vv d
ng aa sincot
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5.988164478 5.98739698 5.98531446717.213065 7042.57148 7115.421
t vt liu, b = 0.76 )
Mc 0.72H Mc Gi1024 958974 914
1080 10801080 1080
n 5) ca Tiu chun 22TCN:272-05
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Mc 0.72H Mc Gi1169066 1244829
0.90 0.90452.0 500.0
1080 10803.247561151 1.98284307
0.081 0.050
Mc 0.72H Mc Gi1176 1189
4876449 4928606
1076006 1126610
4.53 4.371149.97 1163.46
1.19E+09 0.00E+001080 1080
1169066 12448291.96 1.96
4146 4146200000 200000
0 0197000 197000
0 0-0.0031 -0.0044
Mc 0.72H Mc Gi
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413984.0 442322.00.055 0.052
-0.0002 -0.0003-0.24 -0.35
Mc 0.72H Mc Gi27 27
6.78 6.78
chn n t nh ton
(5.8.2.5-1)
.
u:.
Mc 0.72H Mc Gi150 100452.0 500.0
400.0 400.0
40.0 40.0
89.0 65.61737400.6 1921903.3502926.4 556334.51953959.6 2790645.34595232.6 5712407.51953959.6 2790645.31758563.7 2511580.81169065.9 1244828.5
t t
Mc 0.72H Mc Gi
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1169065.9 1244828.51952640.0 2160000.0
600.0 600.0150.0 100.0
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l tung tnh t
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2 3
1016.422 736.895
1007.243 728.9321003.864 726.000
#REF! #REF!
968.105 694.974952.000 681.000
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c, nu khng th gi thit li.
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PhuLuc1
Din tch ng nh hng
Chiu dI nhp Din tch AH
TT Mt ct l x WM WQ+ WQ-
( m ) ( m ) ( m2 ) ( m2 ) ( m2 )1 L/2 29.2 14.6 106.58 3.65 -3.652 3L/8 29.2 10.95 99.91875 5.703125 -2.0531253 2L/8 29.2 7.3 79.935 8.2125 -0.91254 L/8 29.2 3.65 46.62875 11.178125 -0.2281255 gi 29.2 0 0 14.6 0
Page 119
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PhuLuc1
SWQ
( m2 )0
3.657.3
10.9514.6
dahQ
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Tnh c trng hnh h
1 0 0 0 0 0 0 0 0 02 -25 -25 -25 -25 -25 0 0 0 03 -25 -25 -25 -25 -25 20 20 20 204 -10 -10 -10 -22.6 -25 35 35 35 225 -10 -10 -10 -22.6 -25 120 120 120 1266 -35 -35 -35 -35 -35 132 132 132 1327 -35 -35 -35 -35 -35 146 146 146 1468 -25 -25 -25 -25 -25 146 146 146 1469 -25 -25 -25 -25 -25 150 150 150 15010 25 25 25 25 25 150 150 150 15011 25 25 25 25 25 146 146 146 14612 35 35 35 35 35 146 146 146 14613 35 35 35 35 35 132 132 132 13214 10 10 10 22.6 25 120 120 120 12615 10 10 10 22.6 25 35 35 35 22.416 25 25 25 25 25 20 20 20 2017 25 25 25 25 25 0 0 0 018 0 0 0 0 0 0 0 0 0
L/2 L/4 1.5m 0.72H Goi
cm2 F = 4945 4945 4945 7322 7828cm Yc = 78.9 78.9 78.9 77.9 77.6cm3 Sz 390085 390085 390085 570278 607679
cm4 Jz = 4.4E+07 4.4E+07 4E+07 6E+07 6E+07
cm4 Jth = 1.3E+07 1.3E+07 1E+07 1E+07 2E+07
z y
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Y
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Z
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c Tnh c trng hnhMt ct :
0 -25 -25 -25 -25 -25 0 0 0 0 0 0 00 0 0 0 0 0 20 20 20 20 20 400 400
20 15 15 15 2.4 0 55 55 55 42.4 40 2325 232520.0 0 0 0 0 0 155 155 155 148 147 19825 19825127 -25 -25 -25 -12 -10 252 252 252 258 259 47664 47664132 0 0 0 0 0 278 278 278 278 278 58012 58012146 10 10 10 10 10 292 292 292 292 292 63948 63948146 0 0 0 0 0 296 296 296 296 296 65716 65716150 50 50 50 50 50 300 300 300 300 300 67500 67500150 0 0 0 0 0 296 296 296 296 296 65716 65716146 10 10 10 10 10 292 292 292 292 292 63948 63948146 0 0 0 0 0 278 278 278 278 278 58012 58012132 -25 -25 -25 -12 -10 252 252 252 258 259 47664 47664127 0 0 0 0 0 155 155 155 148 147 19825 1982520 15 15 15 2.4 0 55 55 55 42.4 40 2325 232520 0 0 0 0 0 20 20 20 20 20 400 4000 -25 -25 -25 -25 -25 0 0 0 0 0 0 00 0 0 0 0 0
13034060
zi-zi+1 yi+yi+1
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hc
3.L/8
0 0 0 0 0 0400 400 400 8000 8000 8000
2325 1349.76 1200 89375 89375 8937519825 19213.334 19123.84 2421875 2421875 242187547664 49950.434 50394.24 8019648 8019648 801964858012 58012 58012 10769720 10769720 1076972063948 63948 63948 12448544 12448544 1244854465716 65716 65716 12969536 12969536 1296953667500 67500 67500 13500000 13500000 1350000065716 65716 65716 12969536 12969536 1296953663948 63948 63948 12448544 12448544 1244854458012 58012 58012 10769720 10769720 1076972047664 49950.434 50394.24 8019648 8019648 801964819825 19213.334 19123.84 2421875 2421875 24218752325 1349.76 1200 89375 89375 89375400 400 400 8000 8000 8000
0 0 0 0 0 0
yi2+yi*yi+1+yi+12 yi3+yi2*yi+1+yi*yi+12+
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0 0 0 0 0 0 0 08000 8000 0 0 0 0 0 0
38234.624 32000 825 825 825 101.76 0 348752433041.686 2440552.448 0 0 0 0 0 08596120.343 8710115.328 -6300 -6300 -6300 -3199.8 -2592 -1191600
10769720 10769720 0 0 0 0 0 012448544 12448544 2920 2920 2920 2920 2920 63948012969536 12969536 0 0 0 0 0 013500000 13500000 15000 15000 15000 15000 15000 337500012969536 12969536 0 0 0 0 0 012448544 12448544 2920 2920 2920 2920 2920 63948010769720 10769720 0 0 0 0 0 0
8596120.343 8710115.328 -6300 -6300 -6300 -3199.8 -2592 -11916002433041.686 2440552.448 0 0 0 0 0 0
38234.624 32000 825 825 825 101.76 0 348758000 8000 0 0 0 0 0 0
0 0 0 0 0 0 0 0
9890 9890 9890 14643.9 15656 2340510
(zi-zi+1)(yi+yi+1)yi+13
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0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0
34875 34875 3239.42 0 1340625 1340625 1340625 91763.1 00 0 0 0 0 0 0 0 0
-1191600 -1191600 -619385 -503942 -2E+08 -2E+08 -2E+08 -1E+08 -9E+070 0 0 0 0 0 0 0 0
639480 639480 639480 639480 1.2E+08 1.2E+08 1.2E+08 1.2E+08 1.2E+080 0 0 0 0 0 0 0 0
3375000 3375000 3375000 3375000 6.8E+08 6.8E+08 6.8E+08 6.8E+08 6.8E+080 0 0 0 0 0 0 0 0
639480 639480 639480 639480 1.2E+08 1.2E+08 1.2E+08 1.2E+08 1.2E+080 0 0 0 0 0 0 0 0
-1191600 -1191600 -619385 -503942 -2E+08 -2E+08 -2E+08 -1E+08 -9E+070 0 0 0 0 0 0 0 0
34875 34875 3239.42 0 1340625 1340625 1340625 91763.1 00 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0
2340510 2340510 3421668 3646075 5.3E+08 5.3E+08 5.3E+08 7.1E+08 7.5E+08
(zi-zi+1)(yi^2+yi*yi+1+yi+1^2) (zi-zi+1)(yi^3+yi^2*yi+1+yi*yi+1^2+yi+1^3)
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Phan mau vang nay ko can quan tam( day la mot cach tinh khac)
zi*yi+1 zi+1*yi
(zi*yi+1)-
(zi+1*yi)
[(zi*yi+1)-
(zi+1*yi)]*(y
i+yi+1) yi*yi+10 0 0 0 0 0
-500 0 -500 -10000 0 -200000-875 -200 -675 -37125 700 -1569375
-1200 -350 -850 -131750 4200 -16851250-1320 -4200 2880 725760 15840 137272320-5110 -4620 -490 -136220 19272 -28425880-5110 -3650 -1460 -426320 21316 -93364080-3750 -3650 -100 -29600 21900 -6571600-3750 3750 -7500 -2250000 22500 -5062500003650 3750 -100 -29600 21900 -65716003650 5110 -1460 -426320 21316 -933640804620 5110 -490 -136220 19272 -284258804200 1320 2880 725760 15840 137272320350 1200 -850 -131750 4200 -16851250200 875 -675 -37125 700 -1569375
0 500 -500 -10000 0 -2000000 0 0 0 0 0
-9890 -2340510 -525669730
F = -4945
Yc= 78.88473
Sz = -390085Jz = -43805811Jth= -13034060
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Kch Thc Mt Ct Ngang(Mt ct L/2)Chiu cao dm ch(h) 150.0 cm b1= =70.00B dy sn dm 20.0 cm h1 =22.400Kch thc bu dm b2= =20.00
B rng bu dm 50.0 cm h2 =100.10Chiu cao bu dm 20.0 cm b3= =50.00Vt bu dm h3 =27.50
Y 15.0 cm DY_vtbudm =7.50Z 15.0 cm DY_cnhvt 6.0
DY_gotop =2.40Kch thc bn cnh trn
B rng bn cnh trn 70.0 cm F 4945.0
Chiu cao bn cnh trn 14.0 cm F 4945.00Vt bn cnh trn
Y 12.0 cm
Z 25.0 cmKch thc g k vn khun c nh
Y 4.0 cmZ 10.0 cm
Kch thc bn mt cu ti chB dy bn 18.0 cm
Kch thc dm ngang
Chieu rong X 20.0 cm
Chieu cao Y 126.0 cm
Chieu dai Z 180
Khong cch gia cc dm ngang 730
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=8.408.40
cm2
In 0.000046
Y
Z
b2
X
h1
h2
h3
b3
Kch thc mtct ngang quy