beam desing
DESCRIPTION
beamTRANSCRIPT
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1. PRESTRESSED FORCE (main girder at the end)
stresses selfweight section x=L/2Mst.= 1839,36 kNm Wg= 339174 sm
3
Wd= 317698 sm3
5,42 MPa d= = 5,79 MPa
g= = 5,42 MPa5,79 MPa
stresses cariageway deck section x=L/2Mc.d.= 1971,24 kNm Wg= 339174 sm
3
Wd= 317698 sm3
5,81 MPa d= = 6,20 MPa
u= = 5,81 MPa6,20 MPa
stresses side walk, gard rails, asphalt section x=L/2Mo.c.= 1175,50 kNm Wg= 1607039 sm
3
Wd= 457659 sm3
0,73 MPa d= = 2,57 MPa
u= = 0,73 MPa2,57 MPa
stresses moving load section x=L/2Mm= 3933,50 kNm Wg= 1607039 sm
3
Wd= 457659 sm3
2,45 MPa d= = 8,59 MPa
u= = 2,45 MPa8,59 MPa
Wd
Mst.x103
Wg
Mst.x103
Wd
Mk.p.x103
Wg
Mk.p.x103
Mo.p.x103
Wd
Mo.p.x103
Wg
Wd
Mo.p.x103
Wg
Mo.p.x103
Mo.p.x103
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alowable strsses in the concrete MB-45
bdoz.= 21,50 MPa bdoz.= 17,25 MPabzdoz.= 3,15 MPa bzdoz.= 1,95 MPa parcial prestressing
prestressing phase exploatation phase
CALCULATION OF PRESTRESSED FORCE bzd= 0 MPatotal prestressing
N Nxe F Wd
(data for section x=L/2) Hnos.= 180 sm' dp = 22FInos. Wd yt
I ak= e=yt-a=sm2 sm3 sm' sm' sm'
7420 317698 92,94 17,30 75,64
N Nxe N 75,6 F Wd 7420 317698
= 23,16 MPa
0,0001 0,0002381 x N = 23,16 N = 6210,9 kN
2. CALCULATION OF NUMBER OF CABLES
- CABLE TYPE 13T15 "FRESSYINET" - number of tendos n = 11 - AREA OF CABLE 11F15.2mm F k = 15,29 - STEEL 1670 1860
- PRESSTRESING FORCE FOR ONE CABLE 11T15 t=to
Nkp =1,00* 0.7*m*Fk = 1990,758 kN
adopted: 1990 kN - PRESSTRESING FORCE t=to
- PRESSTRESING FORCE t=t~ - TOTAL PERCENT OF LOSSES P= 28 % (Nkp-Nkk)/Nkk=P/100 Nkk=Nkp/(1+P/100)= 1554,688 kN
- NUMBER OF CABLES:
n = = 3,99 adopted: 4
+
sm2
x N =+
+
+
=d
= dd d
d
f=15.2 mm
02/m=
Nkk
Nppotr.
MPa
cable 11T15,2anchor type 13C15,2
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disposition of cable x=L/2 protective pipe 80/86minimum distance from the edgesb=1,5F b=1,5*8,6= 12,9 smminimum distance beatwen cableb=2F b=2*8,6= 17,2 sm
3*13.0= 39,017,2 1*30,2= 30,213,0 na= 69,2
32 ~2*17,2 a= 17,30 center of gravity for the cable16 >12,9 yt= 92,94 center of gravity of girder
e1= 75,64 excentricity phase 1disposition of cable x=0,00anchor type 13C15 "Fressyinet"
a - minimum distance beatween anchors30 b - minimum distance from the end of surface
a ao b bo ao=( A)ili(B)+3fc ao a bo b
30 sm sm sm sm sm38,25 28 28 16,9 16,9
70 2*45= 100 A(sm)1*95= 120 B 21
1*145= 150 A B(sm)50 na= 370 25
32 > 28 a= 92,50 center of gravity for the cable16 ~ 16,9 yt= 94,65 center of gravity of girder
e'= 2,15 excentricity phase 2presstresing: K 3 ; K 4 ; K 1 ; K 2
a*b` >1,6*bo2 a`*b >1,6*bo2 a*a` > 1,5*Fo/fca(sm) b '(sm) a`(sm) b(sm) a'*b a*b` 1,6*bo2 a*a` 1,5*Fo/fc
32 45 50 16 1440 800 458 1440 523
3. ALOWABLE PRESSTRESING FORCE t=to
- PRESSTRESING FORCE ON THE PUMP FOR 4 CABLE 11T15 t=toNp=4*Npk = 4*1990 = 7960,00 kN - PRESSTRESING FORCE FOR THE CALCULATUION FOR 4 CABLE 11T15 t=to(Np-No)/Np=P/100 - PERCENT OF SHORT TIME LOSSES P= 12 %No=Np/(1+P/100)= 7107,14 kN - PRESSTRESING FORCE FOR THE CALCULATUION FOR 4 CABLE 11T15 t=t~(No-Nk)/No=P/100 - TOTAL PERCENT OF LOSSES P= 28 %Nk=No/(1+P/100)= 6218,75 kN
ALOWABLE PRESSTRESING FORCE t=toNo < (M11/Wd1+sbd)*/(1/B+ek1/Wd1)s11d=M11/Wd1= 5,790 MPaNo < 7319,03 kNNo= 7107,14 kN < No= 7319,03 kN
K1 K2
K3
K4
32 161664
32 161664