Tablice Beton

Betonske konstrukcije - EC2

Tablica za dimenzionisanje AB pravougaonih presjeka prema EC2

c2 (%o) s1 () =x/d =z/d sd -0.1 20.0 0.005 0.998 0.000 -0.2 20.0 0.010 0.997 0.001 -0.3 20.0 0.015 0.995 0.002 -0.4 20.0 0.020 0.993 0.003 -0.5 20.0 0.024 0.992 0.005 -0.6 20.0 0.029 0.990 0.007 -0.7 20.0 0.034 0.988 0.009 -0.8 20.0 0.038 0.987 0.011 -0.9 20.0 0.043 0.985 0.014 -1.0 20.0 0.048 0.983 0.017 -1.1 20.0 0.052 0.982 0.019 -1.2 20.0 0.057 0.980 0.023 -1.3 20.0 0.061 0.978 0.026 -1.4 20.0 0.065 0.977 0.029 -1.5 20.0 0.070 0.975 0.033 -1.6 20.0 0.074 0.973 0.036 -1.7 20.0 0.078 0.971 0.039 -1.8 20.0 0.083 0.969 0.043 -1.9 20.0 0.087 0.968 0.046 -2.0 20.0 0.091 0.966 0.050 -2.1 20.0 0.095 0.964 0.053 -2.2 20.0 0.099 0.962 0.056 -2.3 20.0 0.103 0.960 0.060 -2.4 20.0 0.107 0.959 0.063 -2.5 20.0 0.111 0.957 0.066 -2.6 20.0 0.115 0.955 0.069 -2.7 20.0 0.119 0.953 0.073 -2.8 20.0 0.123 0.951 0.076 -2.9 20.0 0.127 0.949 0.079 -3.0 20.0 0.130 0.947 0.081 -3.1 20.0 0.134 0.945 0.084 -3.2 20.0 0.138 0.943 0.088 -3.3 20.0 0.142 0.942 0.091 -3.4 20.0 0.145 0.940 0.093 -3.5 20.0 0.149 0.938 0.096 -3.5 19.5 0.152 0.937 0.098 -3.5 19.0 0.156 0.935 0.100 -3.5 18.5 0.159 0.934 0.102 -3.5 18.0 0.163 0.932 0.105 -3.5 17.5 0.167 0.931 0.107 -3.5 17.0 0.171 0.929 0.109 -3.5 16.5 0.175 0.927 0.112 -3.5 16.0 0.179 0.926 0.114 -3.5 15.5 0.184 0.923 0.117 -3.5 15.0 0.189 0.921 0.120 -3.5 14.5 0.194 0.919 0.123 -3.5 14.0 0.200 0.917 0.126 -3.5 13.5 0.206 0.914 0.130 -3.5 13.0 0.212 0.912 0.133 -3.5 12.5 0.219 0.909 0.137 -3.5 12.0 0.226 0.906 0.141 -3.5 11.5 0.233 0.903 0.145 -3.5 11.0 0.241 0.900 0.149

1


c2 (%o) s1 () =x/d =z/d sd

-3.5 10.5 0.250 0.896 0.154 -3.5 10.0 0.259 0.892 0.159 -3.5 9.5 0.269 0.888 0.164 -3.5 9.0 0.280 0.884 0.170 -3.5 8.5 0.292 0.879 0.177 -3.5 8.0 0.304 0.874 0.183 -3.5 7.5 0.318 0.868 0.190 -3.5 7.0 0.333 0.861 0.197 -3.5 6.5 0.350 0.854 0.206 -3.5 6.0 0.368 0.847 0.214 -3.5 5.5 0.389 0.838 0.224 -3.5 5.0 0.412 0.829 0.235 -3.5 4.5 0.438 0.818 0.247 -3.5 4.0 0.467 0.806 0.259 -3.5 3.5 0.500 0.792 0.272 -3.5 3.0 0.538 0.776 0.287 -3.5 2.5 0.583 0.757 0.304 -3.5 2.0 0.636 0.735 0.322 -3.5 1.5 0.700 0.709 0.342 -3.5 1.0 0.778 0.676 0.362 -3.5 0.5 0.875 0.636 0.383

2


3


Tablice za odabir armature (ploa, zid)

Razmak Povrina presjeka u cm2 na irini ploe od 100 cm

ipaka Promjer ipke u mm

t 6 7 8 10 12 14 16 18 20

7.0 4.04 5.50 7.18 11.22 16.16 21.99 28.73 36.36 44.87

7.5 3.77 5.13 6.70 10.47 15.08 20.52 26.81 33.93 41.88

8.0 3.53 4.81 6.28 9.82 14.14 19.24 25.14 31.81 39.26

8.5 3.33 4.53 5.91 9.24 13.31 18.11 23.66 29.94 36.95

9.0 3.14 4.28 5.59 8.73 12.57 17.10 22.34 28.28 34.90

9.5 2.98 4.05 5.29 8.27 11.90 16.20 21.17 26.79 33.06

10.0 2.83 3.85 5.03 7.85 11.31 15.39 20.11 25.45 31.41

10.5 2.69 3.67 4.79 7.48 10.77 14.66 19.15 24.24 29.91

11.0 2.57 3.50 4.57 7.14 10.28 13.99 18.28 23.14 28.55

11.5 2.46 3.35 4.37 6.83 9.84 13.39 17.49 22.13 27.31

12.0 2.36 3.21 4.19 6.54 9.42 12.83 16.76 21.21 26.17

12.5 2.26 3.08 4.02 6.28 9.05 12.32 16.09 20.36 25.13

13.0 2.17 2.96 3.87 6.04 8.70 11.84 15.47 19.58 24.16

13.5 2.09 2.85 3.72 5.82 8.38 11.40 14.90 18.85 23.27

14.0 2.02 2.75 3.59 5.61 8.08 11.00 14.36 18.18 22.44

14.5 1.95 2.65 3.47 5.42 7.80 10.62 13.87 17.55 21.66

15.0 1.89 2.57 3.35 5.24 7.54 10.26 13.41 16.97 20.94

15.5 1.82 2.48 3.24 5.07 7.30 9.93 12.97 16.42 20.27

16.0 1.77 2.41 3.14 4.91 7.07 9.62 12.57 15.90 19.64

16.5 1.71 2.33 3.05 4.76 6.85 9.33 12.19 15.42 19.04

17.0 1.66 2.26 2.96 4.62 6.65 9.05 11.83 14.97 18.48

17.5 1.62 2.20 2.87 4.49 6.46 8.79 11.49 14.54 17.95

18.0 1.57 2.14 2.79 4.36 6.28 8.55 11.17 14.14 17.46

18.5 1.53 2.08 2.72 4.25 6.11 8.32 10.87 13.76 16.94

19.0 1.49 2.03 2.65 4.13 5.95 8.10 10.58 13.39 16.54

19.5 1.45 1.97 2.58 4.03 5.80 7.89 10.31 13.05 16.11

20.0 1.41 1.92 2.51 3.93 5.65 7.69 10.05 12.72 15.72

4


Tablice za odabir armature ploe ili zida za uobiajene razmake 10, 12.5, 15 i 20 cm.

(mm) razmak As 8 20 2.51 8 15 3.35 10 20 3.93 8 12.5 4.02 8 10 5.03 10 15 5.24 12 20 5.65 10 12.5 6.28 12 15 7.54 14 20 7.70 10 10 7.85 12 12.5 9.05 16 20 10.05 14 15 10.26 12 10 11.31 14 12.5 12.32 16 15 13.40 19 20 14.18 14 10 15.39 20 20 15.71 16 12.5 16.08 19 15 18.90 22 20 19.01 16 10 20.11 20 15 20.94 19 12.5 22.68 25 20 24.54 20 12.5 25.13 22 15 25.34 19 10 28.35 22 12.5 30.41 28 20 30.79 20 10 31.42 25 15 32.72 22 10 38.01 25 12.5 39.27 32 20 40.21 28 15 41.05 25 10 49.09 28 12.5 49.26 36 20 50.89 32 15 53.62 28 10 61.58 32 12.5 64.34

36 15 67.86 32 10 80.42 36 12.5 81.43 36 10 101.79

5


Tablice za odabir armature (grede)

Fi(mm) kg/m 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

8 0,405 0,50 1,01 1,51 2,01 2,51 3,02 3,52 4,02 4,52 5,03 5,53 6,03 6,54 7,04 7,54

10 0,634 0,79 1,57 2,36 3,14 3,93 4,71 5,50 6,20 7,07 7,85 8,64 9,42 10,21 11,00 11,78

12 0,911 1,13 2,26 3,39 4,52 5,66 6,79 7,92 9,05 10,18 11,31 12,44 13,57 14,70 15,83 16,97

14 1,242 1,54 3,08 4,62 6,16 7,70 9,24 10,78 12,32 13,86 15,39 16,93 18,47 20,01 21,55 23,09

16 1,621 2,01 4,02 6,03 8,04 10,05 12,06 14,07 16,09 18,10 20,11 22,12 24,13 26,14 28,15 30,16

18 2,170 2,54 5,09 7,63 10,18 12,72 15,27 17,81 20,36 22,90 25,45 27,99 30,54 33,08 35,63 38,17

19 2,288 2,84 5,67 8,51 11,34 14,18 17,01 19,85 22,68 25,52 28,35 31,19 34,02 36,86 39,69 42,53

20 2,536 3,14 6,28 9,43 12,57 15,71 18,85 21,99 25,13 28,27 31,42 34,56 37,70 40,84 43,98 47,12

22 3,058 3,80 7,60 11,40 15,21 19,01 22,81 26,64 30,41 34,21 38,01 41,81 45,62 49,42 53,22 57,02

24 3,652 4,52 9,05 13,57 18,10 22,62 27,14 31,67 36,19 40,72 45,24 49,76 54,29 58,81 63,34 67,86

25 3,951 4,91 9,82 14,73 19,64 24,54 29,45 34,36 39,27 44,18 49,09 54,00 58,90 63,81 68,72 73,63

28 4,956 6,16 12,32 18,47 24,63 30,79 36,95 43,10 49,26 55,42 61,58 67,73 73,88 80,05 86,21 92,36

32 6,474 8,04 16,09 24,13 32,17 40,21 48,26 56,30 64,34 72,38 80,42 88,47 96,50 104,55 112,60 120,64

36 8,200 10,18 20,36 30,54 40,72 50,89 61,07 71,25 81,43 91,61 101,79 111,97 122,15 132,32 142,50 152,68

razmak armature/m 100,00 50,00 33,34 25,00 20,00 16,67 14,30 12,50 11,11 10,00 9,10 8,33 7,70 7,14 6,67

6


Tablice za odabir armature grede.

kom (mm) As 2 8 1.01 3 8 1.51 2 10 1.57 4 8 2.01 2 12 2.26 3 10 2.36 5 8 2.51 2 14 3.08 4 10 3.14 3 12 3.39 5 10 3.93 2 16 4.02 4 12 4.52 3 14 4.62 5 12 5.65 2 19 5.67 3 16 6.03 4 14 6.16 2 20 6.28 2 22 7.60 5 14 7.70 4 16 8.04 3 19 8.51 3 20 9.42 2 25 9.82 5 16 10.05 4 19 11.34 3 22 11.40 2 28 12.32 4 20 12.57 5 19 14.18 3 25 14.73 4 22 15.21 5 20 15.71 2 32 16.08 3 28 18.47 5 22 19.01 4 25 19.63 2 36 20.36 3 32 24.13 5 25 24.54 4 28 24.63 3 36 30.54 5 28 30.79 4 32 32.17 5 32 40.21 4 36 40.72 5 36 50.89

7


R mree

Tip Profili (mm) Razmaci (mm) Dimenzije (m) kg/m2 kg/komR 131 5,0x4,2 150x250 6,00x2,20 1,50 19,80 R 131 5,0x4,6 150x250 6,00x2,20 1,63 21,50 R 139 4,2x4,2 100x250 6,00x2,20 1,55 20,50 R 166 4,6x4,2 100x250 6,00x2,20 1,76 23,30 R 166 4,6x4,6 100x250 6,00x2,20 1,85 24,50 R 188 6,0x4,2 150x250 6,00x2,20 1,96 26,00 R 188 6,0x4,6 150x250 6,00x2,20 2,08 27,50 R 196 5,0x4,2 150x250 6,00x2,20 2,00 26,50 R 226 6,0x4,2 125x250 6,00x2,20 2,27 30,00 R 257 7,0x5,0 150x250 6,00x2,20 2,72 35,80 R 283 6,0x4,6 100x250 6,00x2,20 2,77 36,60 R 283 6,0x5,0 100x250 6,00x2,20 2,88 38,00 R 335 8,0x5,0 150x250 6,00x2,20 3,33 44,00 R 335 8,0x6,0 150x250 6,00x2,20 3,63 48,00 R 385 7,0x5,0 100x250 6,00x2,20 3,68 48,60 R 424 9,0x6,0 150x250 6,00x2,20 4,34 57,30 R 503 8,0x5,0 100x200 6,00x2,20 4,77 63,00 R 503 8,0x5,0 100x250 6,00x2,20 4,58 60,50 R 503 8,0x6,0 100x250 6,00x2,20 4,89 64,60 R 524 10,0x6,0 150x250 6,00x2,15 5,15 68,00 R 636 9,0x6,0 100x250 6,00x2,15 5,95 78,50 R 785 10,0x6,0 100x250 6,00x2,15 7,35 97,00 R 785 10,0x6,0 100x200 6,00x2,20 7,39 97,50

Q mree

Tip Profili (mm) Razmaci (mm) Dimenzije (m) kg/m2 kg/komQ 069 4,2x4,2 200x200 6,00x2,20 1,10 14,50 Q 131 5,0x5,0 150x150 6,00x2,20 2,12 28,00 Q 139 4,2x4,2 100x100 6,00x2,20 2,20 29,05 Q 166 4,6x4,6 100x100 6,00x2,20 2,64 34,90 Q 188 6,0x6,0 150x150 6,00x2,20 3,06 40,40 Q 196 5,0x5,0 100x100 6,00x2,15 3,07 40,50 Q 226 6,0x6,0 125x125 6,00x2,20 3,63 48,00 Q 257 7,0x7,0 150x150 6,00x2,20 4,16 55,00 Q 283 6,0x6,0 100x100 6,00x2,20 4,48 59,15 Q 335 8,0x8,0 150x150 6,00x2,20 5,45 72,00 Q 385 7,0x7,0 100x100 6,00x2,20 6,10 80,60 Q 424 9,0x9,0 150x150 6,00x2,20 6,81 90,00 Q 503 8,0x8,0 100x100 6,00x2,20 8,03 106,00 Q 524 10,0x10,0 150x150 6,00x2,20 8,40 110,90 Q 636 9,0x9,0 100x100 6,00x2,20 10,08 133,05 Q 785 10,0x10,0 100x100 6,00x2,20 12,46 164,50

8


Tablice za proraun ploa nosivih u dva okomita smjera optereenih ravnomjerno podijeljenim optereenjem po cijeloj ploi

y

x

ll

= 2x

xmaksx

q lM = 2y

ymaksy

q lM = qx = q qy = (1-kx)q

______________ upeti leaj ---------------------- slobodno poloeni leaj

Sluaj 1 l j1x D j1y D k1x D 1 2 3 4 5 6 7

0.50 0.55 0.60 0.65 0.70 0.75

0.80 0.85 0.90 0.95 1.00

1.10 1.20 1.30 1.40 1.50

1.60 1.70 1.80 1.90 2.00

169.17 125.10 94.94 75.31 61.60 51.69

43.97 38.29 34.26 30.44 27.43

22.79 19.45 17.02 15.22 13.87

12.88 12.06 11.45 10.97 10.57

8.814 6.031 3.927 2.741 1.983

1.544 1.136 0.807 0.764 0.602

0.464 0.334 0.244 0.180 0.135

0.099 0.082 0.061 0.048 0.040

10.57 11.35 12.30 13.44 14.79 16.35

18.01 20.15 22.36 24.79 27.43

33.37 40.34 48.60 58.45 70.22

84.43 100.77 121.69 143.00 169.17

0.156 0.190 0.228 0.270 0.313

0.331 0.427 0.444 0.486 0.527

0.594 0.697 0.826 0.985 1.176

1.421 1.634 2.092 2.131 2.617

0.0588 0.0838 0.1147 0.1515 0.1936 0.2404

0.2906 0.3430 0.3962 0.4489 0.5000

0.5942 0.6747 0.7407 0.7935 0.8351

0.8666 0.8931 0.9130 0.9287 0.9412

0.0050 0.0062 0.0073 0.0084 0.0093

0.0100 0.0105 0.0106 0.0105 0.0102

0.0094 0.0080 0.0066 0.0053 0.0042

0.0033 0.0025 0.0020 0.0016 0.0012

9


Sluaj 2 l j2x D j2y D k2x D

8 9 10 11 12 13 14

ly UVIJEK PARALELNO S UKLIJETENIM RUBOM

0.50 0.55 0.60 0.65 0.70 0.75

0.80 0.85 0.90 0.95 1.00

1.10 1.20 1.30 1.40 1.50

1.60 1.70 1.80 1.90 2.00

140.91 107.37 85.30 70.59 59.24 50.86

44.56 39.70 35.74 32.54 29.93

26.02 23.33 21.43 20.04 19.02

18.30 17.63 17.05 16.67 16.50

6.707 4.414 2.942 2.270 1.676

1.259 0.971 0.792 0.640 0.522

0.391 0.269 0.191 0.138 0.103

0.071 0.067 0.059 0.037 0.021

11.28 12.38 13.70 15.29 17.19 19.41

21.99 24.96 28.37 32.30 36.75

47.58 61.38 78.75 100.28 126.64

158.52 196.69 239.81 295.08 357.03

0.217 0.266 0.320 0.379 0.444

0.516 0.595 0.683 0.786 0.890

1.083 1.381 1.736 2.153 2.636

3.189 3.817 4.312 5.527 6.195

0.1351 0.1862 0.2447 0.3086 0.3751 0.4417

0.5059 0.5661 0.6212 0.6706 0.7143

0.7854 0.8383 0.8772 0.9057 0.9268

0.9425 0.9543 0.9633 0.9702 0.9756

0.0102 0.0117 0.0128 0.0133 0.0133

0.0129 0.0121 0.0110 0.0099 0.0087

0.0071 0.0053 0.0039 0.0029 0.0021

0.0016 0.0012 0.0009 0.0007 0.0005


ly UVIJEK PARALELNO S UKLIJETENIM RUBOM

0.50 0.55 0.60 0.65 0.70 0.75

0.80 0.85 0.90 0.95 1.00

1.10 1.20 1.30 1.40 1.50

1.60 1.70 1.80 1.90 2.00

136.06 107.42 87.62 73.76 63.69 56.16

50.42 45.97 42.48 39.70 37.47

34.18 31.93 30.34 29.18 28.31

27.64 27.12 26.71 26.37 26.09

5.728 3.960 2.772 2.014 1.505

1.148 0.891 0.698 0.555 0.446

0.329 0.225 0.159 0.116 0.087

0.067 0.052 0.041 0.034 0.028

12.48 14.10 16.12 18.60 21.16 25.24

29.56 34.66 40.65 47.64 55.74

75.33 101.68 134.65 175.88 226.65

288.36 362.50 450.72 555.49 675.81

0.323 0.404 0.496 0.603 0.725

0.864 1.021 1.199 1.398 1.620

1.959 2.635 3.298 4.123 5.077

6.171 7.414 8.822 10.377 12.132

0.2381 0.3139 0.3932 0.4716 0.5456 0.6127

0.6709 0.7230 0.7664 0.8029 0.8333

0.8798 0.9120 0.9346 0.9505 0.9620

0.9704 0.9766 0.9813 0.9849 0.9877

0.0152 0.0159 0.0157 0.0148 0.0134

0.0116 0.0104 0.0087 0.0073 0.0061

0.0046 0.0032 0.0023 0.0016 0.0012

0.0008 0.0006 0.0005 0.0004 0.0003

10


Sluaj 4 l j4x D j4y D k4x D

22 23 24 25 26 27 28

0.50 0.55 0.60 0.65 0.70 0.75

0.80 0.85 0.90 0.95 1.00

1.10 1.20 1.30 1.40 1.50

1.60 1.70 1.80 1.90 2.00

271.75 194.98 145.73 112.92 90.16 73.99

62.18 53.34 46.58 41.52 37.15

31.09 27.01 24.17 22.12 20.62

19.49 18.62 17.95 17.41 16.98

6.707 4.414 2.942 2.270 1.676

1.259 1.768 1.352 1.052 0.833

0.606 0.408 0.285 0.204 0.150

0.113 0.087 0.068 0.053 0.043

16.98 17.84 18.89 20.16 21.65 23.41

25.47 27.84 30.56 33.65 37.15

45.52 56.01 69.02 84.99 104.38

127.72 155.54 188.41 226.93 271.75

0.171 0.209 0.254 0.298 0.353

0.411 0.465 0.543 0.619 0.700

0.837 1.063 1.287 1.596 1.940

2.334 2.782 3.287 3.852 4.882

0.0588 0.0838 0.1147 0.1515 0.1936 0.2404

0.2906 0.3430 0.3962 0.4489 0.5000

0.5942 0.6747 0.7407 0.7935 0.8351

0.8676 0.8931 0.9130 0.9287 0.9412

0.0050 0.0062 0.0073 0.0084 0.0093

0.0100 0.0105 0.0106 0.0105 0.0102

0.0094 0.0080 0.0066 0.0053 0.0042

0.0033 0.0025 0.0020 0.0016 0.0012


ly UVIJEK PARALELNO SA SLOBODNO POLOENIM RUBOM

0.50 0.55 0.60 0.65 0.70 0.75

0.80 0.85 0.90 0.95 1.00

1.10 1.20 1.30 1.40 1.50

1.60 1.70 1.80 1.90 2.00

246.42 186.97 138.61 110.30 90.65 76.58

66.24 58.46 52.51 47.86 44.18

38.84 35.27 32.79 31.01 29.71

28.73 27.97 27.38 26.92 26.54

11.891 9.671 5.661 3.931 2.814

2.068 1.556 1.191 0.980 0.736

0.535 0.357 0.248 0.178 0.130

0.093 0.075 0.059 0.047 0.038

17.88 19.12 20.68 22.60 24.92 27.69

30.98 34.84 39.35 44.56 50.57

65.30 84.25 108.24 138.11 174.79

219.29 272.66 336.02 410.58 497.61

0.251 0.313 0.384 0.464 0.555

0.658 0.772 0.900 1.043 1.201

1.474 1.895 2.398 2.987 3.669

4.450 5.337 6.337 7.456 8.702

0.1111 0.1547 0.2058 0.2631 0.3244 0.3876

0.4503 0.5108 0.5675 0.6196 0.6667

0.7454 0.8057 0.8510 0.8848 0.9101

0.9291 0.9435 0.9545 0.9631 0.9697

0.0087 0.0102 0.0114 0.0123 0.0126

0.0125 0.0121 0.0114 0.0104 0.0094

0.0079 0.0060 0.0045 0.0038 0.0025

0.0019 0.0014 0.0011 0.0009 0.0007

11



0.50 0.55 0.60 0.65 0.70 0.75

0.80 0.85 0.90 0.95 1.00

1.10 1.20 1.30 1.40 1.50

1.60 1.70 1.80 1.90 2.00

436.53 310.15 229.50 175.97 139.24 113.30

94.51 80.60 70.10 62.04 55.74

46.77 40.90 36.89 34.08 32.04

30.54 29.40 28.52 27.75 27.28

25.276 16.130 10.706 7.346 5.189

3.757 2.782 2.100 1.614 1.259

0.897 0.588 0.400 0.282 0.204

0.151 0.114 0.088 0.077 0.047

27.28 28.38 29.74 31.41 33.43 35.85

38.71 42.08 46.00 50.53 55.74

68.48 84.80 105.38 130.92 162.22

200.13 245.53 299.38 362.69 436.53

0.220 0.273 0.334 0.404 0.483

0.573 0.673 0.784 0.907 1.043

1.274 1.632 2.057 2.555 3.130

3.790 4.540 5.385 6.331 7.384

0.0588 0.0838 0.1147 0.1515 0.1936 0.2404

0.2906 0.3430 0.3962 0.4489 0.5000

0.5942 0.6747 0.7407 0.7935 0.8351

0.8676 0.8931 0.9130 0.9287 0.9412

0.0050 0.0062 0.0073 0.0084 0.0093

0.0100 0.0105 0.0106 0.0105 0.0102

0.0094 0.0080 0.0066 0.0053 0.0042

0.0033 0.0025 0.0020 0.0016 0.0012

12


13


14


15


16


17


18


19


20


21


22


23

Tablice Beton

Documents

Transcript of Tablice Beton