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DIMENSIONAREA GRINZII PRECOMPRIMATE LA FORTA TAIETOARE GRINDA 2
c 1.50 s 1.15
0. Date initiale
L 43.00m 0.1. Materiale
- beton C40/50
- caracteristici ale betonului, conform EC2, cap. 3.1.2, Tabelul 3.1 :
- rezistenta la compresiune fck 40MPa fcd 26.009MPafctk0.05 2.5MPa
- valoarea medie a rezistentei la compresiune a betonului, masurata pe cilindri, masurata la t = 28 zilefcm fck 8MPa 48 MPa
- modulul de elasticitate secant al betonului Ecm 35000MPa- otel BSt 500S, pentru beton armat
fywk 500MPa- EC2 recomanda pentru valoarea de calcul:
fywd 0.8fywks
347.826 MPa
- otel Y 1860 S7 15.2 A, pentru armaturile pretensionate postintinse
fpk 1860MPa fp0.1k 1600MPa Ep 205000MPa- EC2 recomanda pentru aceeasi valoare urmatoarea formula:
fpdfp0.1ks
1391.304 MPa
pEp
1.05 Ecm5.578
1. VERIFICAREA GRINZII LA FORTA TAIETOARE
Afascicul 2660mm2
d 2.65m k min 1 200d
1mm
2
1.275
CRd.c0.18c
0.12
k1 0.15Asl 6 12mm( )2
4 678.584 mm2
vmin 0.035 k
32
fckMPa
12
MPa 0.319 MPa
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1.1. A-B : ZONA DE CAPAT
VEd 3277.2kNx 0.60m Ac 2.5038m2
Forta taietoare preluata de armatura pretensionata inclinatabw 90cm 0.5 2 121 mm 0.779m 1
Aslbw d
0.033 %
9.523
6.85
4.486
0.339
0.339
degpm0 pm c_s_r p c.p.TRANSF=
pi
1044.601
1048.726
1052.161
1090.164
1090.164
MPa c_s_r
185.728
144.173
100.957
60.555
60.555
MPa c.p.TRANSF
14.33311.9839.9277.9517.951
MPa
pm0 pi c_s_r p c.p.TRANSF
778.92
837.709
895.829
985.256
985.256
MPa
Vp 0.9 Afascicul pm0 sin ( ) 308.508
239.194
167.742
13.956
13.956
kN Vp Vp 743.356 kN
Forta taietoare preluata de beton
NEd 0.9 Afascicul pm0 cos ( ) 1839.038
1991.16
2138.044
2358.663
2358.663
kN cp minNEdAc
0.2fcd
4.268 MPa
VRd.c CRd.c k 100 1fckMPa
13
MPa k1 cp
bw d 1667.461 kNVRd.c.min vmin k1 cp bw d 1979.18 kN VRd.c max VRd.c VRd.c.min 1979.18kN Forta taietoare preluata de etrieri 45deg z 0.9 d 2.385m s 15cmASW 4
12mm( )24
452.389 mm2w
ASWs bw
0.387 % w.min 0.08fck MPa
1fywk MPa
1 0.101%
VRd.s
z1
tan ( )
sfywd ASW 2501.91 kN
CONDITIA DE VERIFICAREVEd Vp 2533.844 kN VRd.c VRd.s 4481.09 kN
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1.2. C : MIJLOCUL VUTEI (TRECEREA DE LA ETRIERI DUBLI, LA ETRIERI SIMPLI)
VEd 2766.1kNx 3.525m Ac 1.8773m2
Forta taietoare preluata de armatura pretensionata inclinatabw 60cm 0.5 121 mm 0.539m 1
Aslbw d
0.047 %
8.134
5.803
3.763
0.281
0.281
degpm0 pm c_s_r p c.p.TRANSF=
pi
1058.93
1060.933
1061.155
1098.32
1098.32
MPa c_s_r
153.922
126.68
99.854
78.549
78.549
MPa c.p.TRANSF
11.6511.39711.17610.99810.998
MPa
pm0 pi c_s_r p c.p.TRANSF
840.022
870.678
898.959
958.422
958.422
MPa
Vp 0.9 Afascicul pm0 sin ( ) 284.535
210.751
141.242
11.253
11.253
kN Vp Vp 659.034 kN
Forta taietoare preluata de beton
NEd 0.9 Afascicul pm0 cos ( ) 1990.781
2073.721
2147.467
2294.434
2294.434
kN cp minNEdAc
0.2fcd
5.202 MPa
VRd.c CRd.c k 100 1fckMPa
13
MPa k1 cp
bw d 1386.329 kNVRd.c.min vmin k1 cp bw d 1571.001 kN VRd.c max VRd.c VRd.c.min 1571.001kN Forta taietoare preluata de etrieri 45deg z 0.9 d 2.385m s 15cmASW 2
12mm( )24
226.195 mm2w
ASWs bw
0.28 % w.min 0.08fck MPa
1fywk MPa
1 0.101%
VRd.s
z1
tan ( )
sfywd ASW 1250.955 kN
CONDITIA DE VERIFICAREVEd Vp 2107.066 kN VRd.c VRd.s 2821.956 kN
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1.3. D : CAPATUL VUTEI DINSRE MIJLOCUL GRINZII
VEd 2411.8kNx 6.45m Ac 1.3076m2
Forta taietoare preluata de armatura pretensionata inclinatabw 30cm 0.5 121 mm 0.24m 1
Aslbw d
0.107 %
6.683
4.703
3.002
0.22
0.22
degpm0 pm c_s_r p c.p.TRANSF=
pi
1072.633
1072.384
1069.779
1106.453
1106.453
MPa c_s_r
137.161
120.746
104.621
94.447
94.447
MPa c.p.TRANSF
11.312.27413.1313.66113.661
MPa
pm0 pi c_s_r p c.p.TRANSF
872.438
883.171
891.916
935.802
935.802
MPa
Vp 0.9 Afascicul pm0 sin ( ) 243.065
173.354
111.825
8.602
8.602
kN Vp Vp 545.448 kN
Forta taietoare preluata de beton
NEd 0.9 Afascicul pm0 cos ( ) 2074.425
2107.192
2132.316
2240.293
2240.293
kN cp minNEdAc
0.2fcd
5.202 MPa
VRd.c CRd.c k 100 1fckMPa
13
MPa k1 cp
bw d 652.804 kNVRd.c.min vmin k1 cp bw d 697.414 kN VRd.c max VRd.c VRd.c.min 697.414kN Forta taietoare preluata de etrieri 45deg z 0.9 d 2.385m s 15cmASW 2
12mm( )24
226.195 mm2w
ASWs bw
0.63 % w.min 0.08fck MPa
1fywk MPa
1 0.101%
VRd.s
z1
tan ( )
sfywd ASW 1250.955 kN
CONDITIA DE VERIFICAREVEd Vp 1866.352 kN VRd.c VRd.s 1948.369 kN
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1.3. E : TRECEREA LA ETRIERI DE DIAMETRU MAI MIC ( 10 )
VEd 1594.76kNx 13.25m Ac 1.3076m2
Forta taietoare preluata de armatura pretensionata inclinatabw 30cm 0.5 121 mm 0.24m 1
Aslbw d
0.107 %
3.323
2.153
1.234
0.078
0.078
degpm0 pm c_s_r p c.p.TRANSF=
pi
1103.124
1097.995
1090.259
1123.045
1123.045
MPa c_s_r
131.573
127.048
122
121.132
121.132
MPa c.p.TRANSF
14.33516.15517.80618.07418.074
MPa
pm0 pi c_s_r p c.p.TRANSF
891.587
880.831
868.933
901.092
901.092
MPa
Vp 0.9 Afascicul pm0 sin ( ) 123.723
79.22
44.799
2.937
2.937
kN Vp Vp 253.616 kN
Forta taietoare preluata de beton
NEd 0.9 Afascicul pm0 cos ( ) 2130.871
2107.22
2079.743
2157.212
2157.212
kN cp minNEdAc
0.2fcd
5.202 MPa
VRd.c CRd.c k 100 1fckMPa
13
MPa k1 cp
bw d 652.804 kNVRd.c.min vmin k1 cp bw d 697.414 kN VRd.c max VRd.c VRd.c.min 697.414kN Forta taietoare preluata de etrieri 45deg z 0.9 d 2.385m s 15cmASW 2
10mm( )24
157.08 mm2w
ASWs bw
0.437 % w.min 0.08fck MPa
1fywk MPa
1 0.101%
VRd.s
z1
tan ( )
sfywd ASW 868.719 kN
CONDITIA DE VERIFICAREVEd Vp 1341.144 kN VRd.c VRd.s 1566.132 kN