breviar de calcul placa
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U.P.T. FACULTATEA DE CONSTRUCII C.C.I.A PROIECT DE DIPLOM
BREVIAR DE CALCUL PLANSEU BETON ARMAT PESTE PARTER1. Evaluarea ncrcrilorGREUTATI PROPRII1. ncrcrile permanente din planeu, finisaj gresie:Nr. crt.Denumire materialGreutatea
specifica
(kg/mc)Grosimea
(m)ncrcarea de calcul
(daN/mp)
1.Plci gresie ceramic27000,02568
2.Mortar adeziv21000,0121
3.Strat de egalizare21000,065133
4.Plac de beton armat25000,15375
TOTAL600
N=1.35
2. ncrcarea util: Zone unde apar aglomerari urbane C1, C2 cf SR EN 1991-1-1/2004Nr. crt.Spaiul unde acioneazncrcarea util
normat
(daN/mp)
1.Zone cu mese, Sali de conferinte320
N=1.5
2.Stabilirea acoperirii de betoncnom=cmin+cdev , cf SR EN 1992-1-1/2004
ds =cnom+ /2 a
a distana minim impus de la axa armturii la faa betonului, din considerente de rezisten la foc;
a = 15 mm (rezisten la foc REI90), cf SR EN 1992-1-2/2006
cmin acoperirea minimcdev tolerana admis; pentru a ine seama de abaterile din execuie;
cmin = max {cmin,b; cmin,dur + cdur, - cdur,st - cdur,add; 10 mm} , unde:
cmin,b - acoperirea minim fa de cerinele de aderen; pentru bare individuale este ( diametrul barei) => cmin,b= 10 mm;cmin,dur - acoperirea minim fa de cerinele de mediu; pentru clasa de expunere XC1 => cmin,dur =10 mm;cdur, =0 mm, valoarea recomandat - marja de siguran;cdur,st =0 mm, valoarea recomandat, n absena unor precizri suplimentare- reducerea acoperirii minime n cazul oelului inoxidabil;cdur,add =0, valoarea recomandat, n absena unor precizri suplimentare - reducerea acoperirii minime n cazul unei protecii suplimentare.
cmin = 10 mmcdev= 10 mm (fabricarea elementelor se face pe criterii calitative si monitorizarea executiei cuprinde si masuri referitoare la stratul de acoperire)cnom= cmin+ cdev=20 mm
3. Alctuirea plciiReguli constructive
La armturile de rezisten smax min{3hp , 200 mm} = min{450 mm ,200 mm} = 200 mm;
La armturile de repartiie smax = min{3,5hp , 250 mm} = min{525 mm ,250 mm} = 250 mm;
smin = 80 mm;
Diametrul minim : ;
Diametrul maxim : As,min = 0,26As,min 0,0013bd , unde:dx = dy =
Beton -C16/20fctm = 2,2 N/mm2fcd = 10.67 N/mm2Otel beton-PC52fyk = 355 N/mm2fyd = 309 N/mm2b = 1000 mm
Alegerea armaturilor:Fasia F1x- 8/15- inferior si 10/15 superior
Fasia F2x- 8/15- inferior si 10/15 superior
Fasia F3x- 8/15- inferior deschiderea 1 si 3, 8/15- inferior deschiderea 2 si 10/15 superior
Fasia F4x- 10/15- inferior si 12/15 superior
Fasia F5y- 10/15- inferior si 12/15 superior intre axele A si G si 8/15- inferior si 10/15 superior intre axele H-K
Hpl = 15 cm axele B-KHpl= 17 cm axele A-B
MODELUL FASIILOR DE CALCUL
EFORTURILE DE DIMENSIONARE
FASIA F1X
NUMARUL DESCHIDERILOR = 4
CAPATUL STINGA = REAZEM ARTICULAT
CAPATUL DREAPTA = REAZEM ARTICULAT
CARACTERISTICI
DESC L I
------------------------------------------------------------
1 2.750 1.0000E+00
2 4.500 1.0000E+00
3 4.850 1.0000E+00
4 4.850 1.0000E+00
INCARCARI LINIARE
DESC g p
------------------------------------------------------------
1 650.000 390.000
2 405.000 240.000
3 360.000 220.000
4 250.000 150.000
MOMENTE MAXIME PE REAZEME
SECT. MAX. MS MIN. MS
------------------------------------------------------------
1 0.000 0.000
2 -561.971 -1129.685
3 -592.477 -1224.850
4 -663.698 -1219.519
5 0.000 -0.000
MOMENTE MAXIME IN CIMPURI
DESC MAX. MF X MIN. MF X
------------------------------------------------------------
1 658.555 1.125 222.832 0.828
2 711.320 2.289 195.916 2.120
3 738.524 2.414 175.205 2.405
4 768.830 2.889 325.944 3.235
REACTIUNI MAXIME SI FORTE TAIETOARE
SECT. MAX. V RS RD
------------------------------------------------------------
1 1170.382 0.000 1170.382
2 3359.349 -1840.795 1518.555
3 3001.514 -1530.924 1470.589
4 2696.933 -1475.486 1221.447
5 784.260 -784.260 0.000
REACTIUNI MINIME SI FORTE TAIETOARE
SECT. MIN. V RS RD
------------------------------------------------------------
1 538.220 0.000 538.220
2 1914.121 -1098.103 816.018
3 1654.828 -859.503 795.325
4 1560.695 -817.600 743.095
5 403.698 -403.698 0.000FASIA F2X
NUMARUL DESCHIDERILOR = 4
CAPATUL STINGA = REAZEM ARTICULAT
CAPATUL DREAPTA = REAZEM ARTICULAT
CARACTERISTICI
DESC L I
------------------------------------------------------------
1 2.750 1.0000E+00
2 4.500 1.0000E+00
3 4.850 1.0000E+00
4 4.850 1.0000E+00
INCARCARI LINIARE
DESC g p
------------------------------------------------------------
1 510.000 310.000
2 280.000 160.000
3 280.000 160.000
4 140.000 80.000
MOMENTE MAXIME PE REAZEME
SECT. MAX. MS MIN. MS
------------------------------------------------------------
1 0.000 0.000
2 -391.534 -792.245
3 -465.901 -901.359
4 -445.301 -800.653
5 0.000 -0.000
MOMENTE MAXIME IN CIMPURI
DESC MAX. MF X MIN. MF X
------------------------------------------------------------
1 540.152 1.148 204.834 0.896
2 451.443 2.259 99.145 2.090
3 599.701 2.444 211.298 2.485
4 392.569 2.961 143.564 3.418
REACTIUNI MAXIME SI FORTE TAIETOARE
SECT. MAX. V RS RD
------------------------------------------------------------
1 941.196 0.000 941.196
2 2443.394 -1415.589 1027.804
3 2181.703 -1058.206 1123.497
4 1790.749 -1092.166 698.583
5 415.608 -415.608 0.000
REACTIUNI MINIME SI FORTE TAIETOARE
SECT. MIN. V RS RD
------------------------------------------------------------
1 457.089 0.000 457.089
2 1395.048 -843.626 551.422
3 1250.082 -602.567 647.515
4 1060.137 -628.823 431.315
5 200.494 -200.494 0.000FASIA F3X
NUMARUL DESCHIDERILOR = 3
CAPATUL STINGA = REAZEM ARTICULAT
CAPATUL DREAPTA = REAZEM ARTICULAT
CARACTERISTICI
DESC L I
------------------------------------------------------------
1 2.800 1.0000E+00
2 6.000 1.0000E+00
3 2.800 1.0000E+00
INCARCARI LINIARE
DESC g p
------------------------------------------------------------
1 810.000 480.000
2 240.000 150.000
3 810.000 480.000
MOMENTE MAXIME PE REAZEME
SECT. MAX. MS MIN. MS
------------------------------------------------------------
1 0.000 -0.000
2 -679.777 -1250.087
3 -679.777 -1250.087
4 0.000 -0.000
MOMENTE MAXIME IN CIMPURI
DESC MAX. MF X MIN. MF X
------------------------------------------------------------
1 875.280 1.165 345.395 0.923
2 674.268 3.000 230.868 3.000
3 875.280 1.635 345.395 1.877
REACTIUNI MAXIME SI FORTE TAIETOARE
SECT. MAX. V RS RD
------------------------------------------------------------
1 1502.738 0.000 1502.738
2 3460.308 -2252.460 1207.848
3 3460.308 -1207.848 2252.460
4 1502.739 -1502.739 0.000
REACTIUNI MINIME SI FORTE TAIETOARE
SECT. MIN. V RS RD
------------------------------------------------------------
1 748.024 0.000 748.024
2 2058.929 -1376.778 682.152
3 2058.929 -682.152 1376.778
4 748.024 -748.024 0.000
FASIA F4X
NUMARUL DESCHIDERILOR = 2
CAPATUL STINGA = REAZEM ARTICULAT
CAPATUL DREAPTA = REAZEM ARTICULAT
CARACTERISTICI
DESC L I
------------------------------------------------------------
1 5.770 1.0000E+00
2 5.770 1.0000E+00
INCARCARI LINIARE
DESC g p
------------------------------------------------------------
1 240.000 150.000
2 240.000 150.000
MOMENTE MAXIME PE REAZEME
SECT. MAX. MS MIN. MS
------------------------------------------------------------
1 0.000 -0.000
2 -1310.908 -1623.029
3 0.000 -0.000
MOMENTE MAXIME IN CIMPURI
DESC MAX. MF X MIN. MF X
------------------------------------------------------------
1 1033.751 2.302 450.868 1.938
2 1033.750 3.468 450.869 3.832
REACTIUNI MAXIME SI FORTE TAIETOARE
SECT. MAX. V RS RD
------------------------------------------------------------
1 897.956 0.000 897.956
2 2812.875 -1406.438 1406.438
3 897.956 -897.956 0.000
REACTIUNI MINIME SI FORTE TAIETOARE
SECT. MIN. V RS RD
------------------------------------------------------------
1 465.206 0.000 465.206
2 2271.938 -1352.344 919.594
3 465.206 -465.206 0.000
FASIA F5Y
NUMARUL DESCHIDERILOR = 9
CAPATUL STINGA = REAZEM ARTICULAT
CAPATUL DREAPTA = REAZEM ARTICULAT
CARACTERISTICI
DESC L I
------------------------------------------------------------
1 4.750 1.0000E+00
2 4.758 1.0000E+00
3 4.750 1.0000E+00
4 4.750 1.0000E+00
5 4.750 1.0000E+00
6 2.550 1.0000E+00
7 3.850 1.0000E+00
8 3.800 1.0000E+00
9 3.800 1.0000E+00
INCARCARI LINIARE
DESC g p
------------------------------------------------------------
1 570.000 340.000
2 560.000 340.000
3 560.000 340.000
4 560.000 340.000
5 560.000 340.000
6 810.000 480.000
7 560.000 340.000
8 560.000 340.000
9 450.000 280.000
MOMENTE MAXIME PE REAZEME
SECT. MAX. MS MIN. MS
------------------------------------------------------------
1 0.000 -0.000
2 -1243.094 -2269.567
3 -732.609 -1825.726
4 -839.717 -1912.055
5 -955.873 -1949.330
6 -591.192 -1506.848
7 -306.107 -1024.031
8 -593.472 -1265.948
9 -661.561 -1256.183
10 0.000 -0.000
MOMENTE MAXIME IN CIMPURI
DESC MAX. MF X MIN. MF X
------------------------------------------------------------
1 1763.327 1.969 849.439 1.726
2 1031.704 2.489 78.993 2.560
3 1204.779 2.347 258.392 2.348
4 1099.759 2.337 190.075 2.379
5 1194.206 2.394 442.923 2.648
6 352.186 1.333 -325.547 1.555
7 842.210 1.867 276.148 1.772
8 665.690 1.885 81.136 1.897
9 892.636 2.236 394.328 2.476
REACTIUNI MAXIME SI FORTE TAIETOARE
SECT. MAX. V RS RD
------------------------------------------------------------
1 1791.439 0.000 1791.439
2 5016.006 -2639.053 2376.953
3 4443.668 -2184.172 2259.496
4 4552.727 -2301.022 2251.705
5 4599.812 -2286.289 2313.523
6 4234.445 -2174.760 2059.685
7 3545.109 -1766.646 1778.463
8 3705.881 -1900.076 1805.805
9 3531.948 -1814.373 1717.575
10 1141.599 -1141.599 0.000
REACTIUNI MINIME SI FORTE TAIETOARE
SECT. MIN. V RS RD
------------------------------------------------------------
1 984.053 0.000 984.053
2 2912.414 -1615.454 1296.960
3 2255.875 -1088.595 1167.281
4 2390.695 -1207.201 1183.494
5 2537.418 -1213.512 1323.906
6 2041.764 -1122.811 918.953
7 1504.277 -609.716 894.561
8 2000.746 -1047.900 952.846
9 2004.070 -974.975 1029.095
10 595.731 -595.731 0.000
CALCULUL ARIILOR DE ARMATURADATE
RC = 106 DAN/CM^2 ; RA = 3090 DAN/CM^2 ; XIB = .55
M = 112900 DAN*CM ; N = 0 DAN
B = 100 CM ; H = 15 CM ; A = 3 CM
REZULTATE
INCOVOIERE - ARMARE SIMPLA
MMIC = 4.73E-002 NMIC = 0
ALFA = 6.15E-002 ALFA P = 0
P = .26 % ; AA = 3.16 CM^2
PP = 0 % ; APA = 0 CM^2
DATE
RC = 106 DAN/CM^2 ; RA = 3090 DAN/CM^2 ; XIB = .43
M = 122400 DAN*CM ; N = 0 DAN
B = 100 CM ; H = 15 CM ; A = 3 CM
REZULTATE
INCOVOIERE - ARMARE SIMPLA
MMIC = 5.13E-002 NMIC = 0
ALFA = 6.69E-002 ALFA P = 0
P = .28 % ; AA = 3.44 CM^2
PP = 0 % ; APA = 0 CM^2
DATE
RC = 106 DAN/CM^2 ; RA = 3090 DAN/CM^2 ; XIB = .35
M = 65800 DAN*CM ; N = 0 DAN
B = 100 CM ; H = 15 CM ; A = 3 CM
REZULTATE
INCOVOIERE - ARMARE SIMPLA
MMIC = 2.75E-002 NMIC = 0
ALFA = 3.52E-002 ALFA P = 0
P = .15 % ; AA = 1.81 CM^2
PP = 0 % ; APA = 0 CM^2
DATE
RC = 106 DAN/CM^2 ; RA = 3090 DAN/CM^2 ; XIB = .28
M = 76800 DAN*CM ; N = 0 DAN
B = 100 CM ; H = 15 CM ; A = 3 CM
REZULTATE
INCOVOIERE - ARMARE SIMPLA
MMIC = 3.22E-002 NMIC = 0
ALFA = 4.13E-002 ALFA P = 0
P = .17 % ; AA = 2.12 CM^2
PP = 0 % ; APA = 0 CM^2
DATE
RC = 106 DAN/CM^2 ; RA = 3090 DAN/CM^2 ; XIB = .22
M = 80000 DAN*CM ; N = 0 DAN
B = 100 CM ; H = 15 CM ; A = 3 CM
REZULTATE
INCOVOIERE - ARMARE SIMPLA
MMIC = 3.35E-002 NMIC = 0
ALFA = 4.3E-002 ALFA P = 0
P = .18 % ; AA = 2.21 CM^2
PP = 0 % ; APA = 0 CM^2
DATE
RC = 106 DAN/CM^2 ; RA = 3090 DAN/CM^2 ; XIB = .18
M = 90000 DAN*CM ; N = 0 DAN
B = 100 CM ; H = 15 CM ; A = 3 CM
REZULTATE
INCOVOIERE - ARMARE SIMPLA
MMIC = 3.77E-002 NMIC = 0
ALFA = 4.86E-002 ALFA P = 0
P = .2 % ; AA = 2.5 CM^2
PP = 0 % ; APA = 0 CM^2
DATE
RC = 106 DAN/CM^2 ; RA = 3090 DAN/CM^2 ; XIB = .14
M = 60000 DAN*CM ; N = 0 DAN
B = 100 CM ; H = 15 CM ; A = 3 CM
REZULTATE
INCOVOIERE - ARMARE SIMPLA
MMIC = 2.51E-002 NMIC = 0
ALFA = 3.2E-002 ALFA P = 0
P = .13 % ; AA = 1.65 CM^2
PP = 0 % ; APA = 0 CM^2
DATE
RC = 106 DAN/CM^2 ; RA = 3090 DAN/CM^2 ; XIB = .11
M = 378700 DAN*CM ; N = 0 DAN
B = 100 CM ; H = 15 CM ; A = 3 CM
REZULTATE
INCOVOIERE - ARMARE DUBLA
MMIC = .1587 NMIC = 0
ALFA = .2409 ALFA P = .1487
P = 1.03 % ; AA = 12.39 CM^2
PP = .63 % ; APA = 7.65 CM^2
DATE
RC = 106 DAN/CM^2 ; RA = 3090 DAN/CM^2 ; XIB = 6E-002
M = 226900 DAN*CM ; N = 0 DAN
B = 100 CM ; H = 15 CM ; A = 3 CM
REZULTATE
INCOVOIERE - ARMARE DUBLA
MMIC = 9.51E-002 NMIC = 0
ALFA = .1439 ALFA P = 9.38E-002
P = .61 % ; AA = 7.4 CM^2
PP = .4 % ; APA = 4.83 CM^2
DATE
RC = 106 DAN/CM^2 ; RA = 3090 DAN/CM^2 ; XIB = 5E-002
M = 195000 DAN*CM ; N = 0 DAN
B = 100 CM ; H = 15 CM ; A = 3 CM
REZULTATE
INCOVOIERE - ARMARE DUBLA
MMIC = 8.17E-002 NMIC = 0
ALFA = .1242 ALFA P = 8.42E-002
P = .53 % ; AA = 6.39 CM^2
PP = .36 % ; APA = 4.33 CM^2
DATE
RC = 106 DAN/CM^2 ; RA = 3090 DAN/CM^2 ; XIB = 4E-002
M = 120400 DAN*CM ; N = 0 DAN
B = 100 CM ; H = 15 CM ; A = 3 CM
REZULTATE
INCOVOIERE - ARMARE DUBLA
MMIC = 5.04E-002 NMIC = 0
ALFA = 7.43E-002 ALFA P = 4.22E-002
P = .31 % ; AA = 3.82 CM^2
PP = .18 % ; APA = 2.17 CM^2
DATE
RC = 106 DAN/CM^2 ; RA = 3090 DAN/CM^2 ; XIB = 3E-002
M = 162300 DAN*CM ; N = 0 DAN
B = 100 CM ; H = 15 CM ; A = 3 CM
REZULTATE
INCOVOIERE - ARMARE DUBLA
MMIC = 6.8E-002 NMIC = 0
ALFA = .1054 ALFA P = 7.97E-002
P = .45 % ; AA = 5.42 CM^2
PP = .34 % ; APA = 4.1 CM^2
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