5
DIMENSIONAREA GRINZII PRECOMPRIMATE LA FORTA TAIETOARE GRINDA 2 γ c 1.50 γ 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 f ck 40MPa f cd 26.009MPa f ctk0.05 2.5MPa - valoarea medie a rezistentei la compresiune a betonului, masurata pe cilindri, masurata la t = 28 zile f cm f ck 8MPa 48 MPa - modulul de elasticitate secant al betonului E cm 35000MPa - otel BSt 500S, pentru beton armat f ywk 500MPa - EC2 recomanda pentru valoarea de calcul: f ywd 0.8 f ywk γ s 347.826 MPa - otel Y 1860 S7 15.2 A, pentru armaturile pretensionate postintinse f pk 1860MPa f p0.1k 1600MPa E p 205000MPa - EC2 recomanda pentru aceeasi valoare urmatoarea formula: f pd f p0.1k γ s 1391.304 MPa α p E p 1.05 E cm 5.578 1. VERIFICAREA GRINZII LA FORTA TAIETOARE A fascicul 2660mm 2 d 2.65m k min 1 200 d 1 mm 2 1.275 C Rd.c 0.18 γ c 0.12 k 1 0.15 A sl 6 π 12mm ( ) 2 4 678.584 mm 2 v min 0.035 k 3 2 f ck MPa 1 2 MPa 0.319 MPa

Verificarea la forta taietoare a unei grinzi precomprimate

Embed Size (px)

DESCRIPTION

Verificarea la forta taietoare a unei grinzi precomprimate

Citation preview

  • 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

  • 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

  • 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

  • 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

  • 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