Cau Btct Nam

8/2/2019 Cau Btct Nam

1/143

ai Hc Giao Thng vn ti

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

PGS.TS.Nguyn vit Trung 1 4/10/2012


2/143


#REF!#REF!#REF!#REF!#REF!#REF!

Next



3/143




4/143

i Hc Giao Thng Vn Ti

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

PGS.TS. NGuyn vit Trung 143 4/10/2012


5/143


Sz =

Jz =

Jth =

F =

Yc =Sz =

Jz =

Jth =

F =

Yc =Sz =

Jz =

Jth =

Y

Y

Z

Y

Z

Z



6/143


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



7/143


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=



8/143


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

=



9/143


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



10/143


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



11/143


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



12/143


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



13/143


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'



14/143


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 =



15/143


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



16/143


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 =



17/143


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



18/143


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



19/143


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)



20/143


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)



21/143


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



22/143


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



23/143


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



24/143


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



25/143


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



26/143


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



27/143


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



28/143


+ 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



29/143


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


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


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)



30/143


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


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


Mt ct Mc L/2 Mc L/4


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



31/143


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



32/143


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



33/143


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



34/143


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



35/143


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 )



36/143


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



37/143


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=



38/143


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=



39/143


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 =



40/143


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



41/143


2L

DC



42/143


...



43/143


SySd

MA=



44/143


=

nMMf=



45/143


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



46/143


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



47/143


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



48/143


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



49/143


(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



50/143


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



51/143


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



52/143


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)



53/143


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)



54/143


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



55/143


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.



56/143


n thy

a

ng

n ny.

quy nh vt qu nhng

c khc.

c

uy



57/143


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



58/143


ieu dai nhip tinh toan)



59/143


0.0 kg/m

m



60/143


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



61/143


DWb MDCb MDWb


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


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



62/143


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



63/143


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



64/143


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



65/143


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



66/143


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



67/143


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.



68/143


( 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



69/143


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



70/143


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


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



71/143


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


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


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


190.0 148.0 40.04.14 3.22 0.87

D



72/143


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



73/143


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



74/143


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



75/143


(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



76/143


(5.7.3.3.1-1)

(5.7.3.3.1-2)

(5.7.3.6.2-2)


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)

,



77/143


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



78/143


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



79/143


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



80/143


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



81/143


1169065.9 1244828.51952640.0 2160000.0

600.0 600.0150.0 100.0



82/143




83/143




84/143




85/143




86/143




87/143




88/143




89/143




90/143


l tung tnh t



91/143




92/143




93/143




94/143




95/143




96/143




97/143




98/143




99/143




100/143




101/143




102/143




103/143




104/143




105/143




106/143




107/143




108/143




109/143




110/143




111/143


2 3

1016.422 736.895

1007.243 728.9321003.864 726.000

#REF! #REF!

968.105 694.974952.000 681.000



112/143




113/143




114/143




115/143




116/143




117/143




118/143


c, nu khng th gi thit li.



119/143

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


120/143

PhuLuc1

SWQ

( m2 )0

3.657.3

10.9514.6

dahQ

Page 120


121/143

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


122/143


123/143

Y


124/143

Z


125/143

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


126/143


127/143


128/143


129/143

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+


130/143


131/143


132/143


133/143

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


134/143


135/143


136/143


137/143

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)


138/143


139/143


140/143


141/143

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


142/143

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


143/143

=8.408.40

cm2

In 0.000046

Y

Z

b2

X

h1

h2

h3

b3

Kch thc mtct ngang quy

Documents

Cau Btct Nam