Betonske konstrukcije - EC2

Tablica za dimenzioniranje AB pravokutnih presjeka prema EC2 c2 (%o)-0.1 -0.2 -0.3 -0.4 -0.5 -0.6 -0.7 -0.8 -0.9 -1.0 -1.1 -1.2 -1.3 -1.4 -1.5 -1.6 -1.7 -1.8 -1.9 -2.0 -2.1 -2.2 -2.3 -2.4 -2.5 -2.6 -2.7 -2.8 -2.9 -3.0 -3.1 -3.2 -3.3 -3.4 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5

s1 ()20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 19.5 19.0 18.5 18.0 17.5 17.0 16.5 16.0 15.5 15.0 14.5 14.0 13.5 13.0 12.5 12.0 11.5 11.0

=x/d0.005 0.010 0.015 0.020 0.024 0.029 0.034 0.038 0.043 0.048 0.052 0.057 0.061 0.065 0.070 0.074 0.078 0.083 0.087 0.091 0.095 0.099 0.103 0.107 0.111 0.115 0.119 0.123 0.127 0.130 0.134 0.138 0.142 0.145 0.149 0.152 0.156 0.159 0.163 0.167 0.171 0.175 0.179 0.184 0.189 0.194 0.200 0.206 0.212 0.219 0.226 0.233 0.241

=z/d0.998 0.997 0.995 0.993 0.992 0.990 0.988 0.987 0.985 0.983 0.982 0.980 0.978 0.977 0.975 0.973 0.971 0.969 0.968 0.966 0.964 0.962 0.960 0.959 0.957 0.955 0.953 0.951 0.949 0.947 0.945 0.943 0.942 0.940 0.938 0.937 0.935 0.934 0.932 0.931 0.929 0.927 0.926 0.923 0.921 0.919 0.917 0.914 0.912 0.909 0.906 0.903 0.900

sd0.000 0.001 0.002 0.003 0.005 0.007 0.009 0.011 0.014 0.017 0.019 0.023 0.026 0.029 0.033 0.036 0.039 0.043 0.046 0.050 0.053 0.056 0.060 0.063 0.066 0.069 0.073 0.076 0.079 0.081 0.084 0.088 0.091 0.093 0.096 0.098 0.100 0.102 0.105 0.107 0.109 0.112 0.114 0.117 0.120 0.123 0.126 0.130 0.133 0.137 0.141 0.145 0.149

1

Betonske konstrukcije - EC2

c2 (%o)-3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5 -3.5

s1 ()10.5 10.0 9.5 9.0 8.5 8.0 7.5 7.0 6.5 6.0 5.5 5.0 4.5 4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5

=x/d0.250 0.259 0.269 0.280 0.292 0.304 0.318 0.333 0.350 0.368 0.389 0.412 0.438 0.467 0.500 0.538 0.583 0.636 0.700 0.778 0.875

=z/d0.896 0.892 0.888 0.884 0.879 0.874 0.868 0.861 0.854 0.847 0.838 0.829 0.818 0.806 0.792 0.776 0.757 0.735 0.709 0.676 0.636

sd0.154 0.159 0.164 0.170 0.177 0.183 0.190 0.197 0.206 0.214 0.224 0.235 0.247 0.259 0.272 0.287 0.304 0.322 0.342 0.362 0.383

2

Betonske konstrukcije - EC2

3

Betonske konstrukcije - EC2

Tablice za odabir armature (ploa, zid)Razmak ipaka t 7.0 7.5 8.0 8.5 9.0 9.5 10.0 10.5 11.0 11.5 12.0 12.5 13.0 13.5 14.0 14.5 15.0 15.5 16.0 16.5 17.0 17.5 18.0 18.5 19.0 19.5 20.0 6 4.04 3.77 3.53 3.33 3.14 2.98 2.83 2.69 2.57 2.46 2.36 2.26 2.17 2.09 2.02 1.95 1.89 1.82 1.77 1.71 1.66 1.62 1.57 1.53 1.49 1.45 1.41 7 5.50 5.13 4.81 4.53 4.28 4.05 3.85 3.67 3.50 3.35 3.21 3.08 2.96 2.85 2.75 2.65 2.57 2.48 2.41 2.33 2.26 2.20 2.14 2.08 2.03 1.97 1.92 8 7.18 6.70 6.28 5.91 5.59 5.29 5.03 4.79 4.57 4.37 4.19 4.02 3.87 3.72 3.59 3.47 3.35 3.24 3.14 3.05 2.96 2.87 2.79 2.72 2.65 2.58 2.51 10 11.22 10.47 9.82 9.24 8.73 8.27 7.85 7.48 7.14 6.83 6.54 6.28 6.04 5.82 5.61 5.42 5.24 5.07 4.91 4.76 4.62 4.49 4.36 4.25 4.13 4.03 3.93 Povrina presjeka u cm2 na irini ploe od 100 cm Promjer ipke u mm 12 16.16 15.08 14.14 13.31 12.57 11.90 11.31 10.77 10.28 9.84 9.42 9.05 8.70 8.38 8.08 7.80 7.54 7.30 7.07 6.85 6.65 6.46 6.28 6.11 5.95 5.80 5.65 14 21.99 20.52 19.24 18.11 17.10 16.20 15.39 14.66 13.99 13.39 12.83 12.32 11.84 11.40 11.00 10.62 10.26 9.93 9.62 9.33 9.05 8.79 8.55 8.32 8.10 7.89 7.69 16 28.73 26.81 25.14 23.66 22.34 21.17 20.11 19.15 18.28 17.49 16.76 16.09 15.47 14.90 14.36 13.87 13.41 12.97 12.57 12.19 11.83 11.49 11.17 10.87 10.58 10.31 10.05 18 36.36 33.93 31.81 29.94 28.28 26.79 25.45 24.24 23.14 22.13 21.21 20.36 19.58 18.85 18.18 17.55 16.97 16.42 15.90 15.42 14.97 14.54 14.14 13.76 13.39 13.05 12.72 20 44.87 41.88 39.26 36.95 34.90 33.06 31.41 29.91 28.55 27.31 26.17 25.13 24.16 23.27 22.44 21.66 20.94 20.27 19.64 19.04 18.48 17.95 17.46 16.94 16.54 16.11 15.72

4

Betonske konstrukcije - EC2

Tablice za odabir armature ploe ili zida za uobiajene razmake 10, 12.5, 15 i 20 cm. (mm) 8 8 10 8 8 10 12 10 12 14 10 12 16 14 12 14 16 19 14 20 16 19 22 16 20 19 25 20 22 19 22 28 20 25 22 25 32 28 25 28 36 32 28 32 razmak 20 15 20 12.5 10 15 20 12.5 15 20 10 12.5 20 15 10 12.5 15 20 10 20 12.5 15 20 10 15 12.5 20 12.5 15 10 12.5 20 10 15 10 12.5 20 15 10 12.5 20 15 10 12.5 As 2.51 3.35 3.93 4.02 5.03 5.24 5.65 6.28 7.54 7.70 7.85 9.05 10.05 10.26 11.31 12.32 13.40 14.18 15.39 15.71 16.08 18.90 19.01 20.11 20.94 22.68 24.54 25.13 25.34 28.35 30.41 30.79 31.42 32.72 38.01 39.27 40.21 41.05 49.09 49.26 50.89 53.62 61.58 64.34 36 32 36 36 15 10 12.5 10 67.86 80.42 81.43 101.79

5

Betonske konstrukcije - EC2

Tablice za odabir armature (grede)Fi(mm) 8 10 12 14 16 18 19 20 22 24 25 28 32 36 kg/m 0,405 0,634 0,911 1,242 1,621 2,170 2,288 2,536 3,058 3,652 3,951 4,956 6,474 8,200 1 0,50 0,79 1,13 1,54 2,01 2,54 2,84 3,14 3,80 4,52 4,91 6,16 8,04 10,18 2 1,01 1,57 2,26 3,08 4,02 5,09 5,67 6,28 7,60 9,05 9,82 12,32 16,09 20,36 50,00 3 1,51 2,36 3,39 4,62 6,03 7,63 8,51 9,43 11,40 13,57 14,73 18,47 24,13 30,54 33,34 4 2,01 3,14 4,52 6,16 8,04 10,18 11,34 12,57 15,21 18,10 19,64 24,63 32,17 40,72 25,00 5 2,51 3,93 5,66 7,70 10,05 12,72 14,18 15,71 19,01 22,62 24,54 30,79 40,21 50,89 20,00 6 3,02 4,71 6,79 9,24 12,06 15,27 17,01 18,85 22,81 27,14 29,45 36,95 48,26 61,07 16,67 7 3,52 5,50 7,92 10,78 14,07 17,81 19,85 21,99 26,64 31,67 34,36 43,10 56,30 71,25 14,30 8 4,02 6,20 9,05 12,32 16,09 20,36 22,68 25,13 30,41 36,19 39,27 49,26 64,34 81,43 12,50 9 4,52 7,07 10,18 13,86 18,10 22,90 25,52 28,27 34,21 40,72 44,18 55,42 72,38 91,61 11,11 10 5,03 7,85 11,31 15,39 20,11 25,45 28,35 31,42 38,01 45,24 49,09 61,58 80,42 11 5,53 8,64 12,44 16,93 22,12 27,99 31,19 34,56 41,81 49,76 54,00 67,73 88,47 12 6,03 9,42 13,57 18,47 24,13 30,54 34,02 37,70 45,62 54,29 58,90 73,88 96,50 13 6,54 10,21 14,70 20,01 26,14 33,08 36,86 40,84 49,42 58,81 63,81 80,05 14 7,04 11,00 15,83 21,55 28,15 35,63 39,69 43,98 53,22 63,34 68,72 86,21 15 7,54 11,78 16,97 23,09 30,16 38,17 42,53 47,12 57,02 67,86 73,63 92,36

104,55 112,60 120,64

101,79 111,97 122,15 132,32 142,50 152,68 10,00 9,10 8,33 7,70 7,14 6,67

razmak armature/m 100,00

6

Betonske konstrukcije - EC2

Tablice za odabir armature grede.kom 2 3 2 4 2 3 5 2 4 3 5 2 4 3 5 2 3 4 2 2 5 4 3 3 2 5 4 3 2 4 5 3 4 5 2 3 5 4 2 3 5 4 3 5 4 5 4 5

(mm)8 8 10 8 12 10 8 14 10 12 10 16 12 14 12 19 16 14 20 22 14 16 19 20 25 16 19 22 28 20 19 25 22 20 32 28 22 25 36 32 25 28 36 28 32 32 36 36

As1.01 1.51 1.57 2.01 2.26 2.36 2.51 3.08 3.14 3.39 3.93 4.02 4.52 4.62 5.65 5.67 6.03 6.16 6.28 7.60 7.70 8.04 8.51 9.42 9.82 10.05 11.34 11.40 12.32 12.57 14.18 14.73 15.21 15.71 16.08 18.47 19.01 19.63 20.36 24.13 24.54 24.63 30.54 30.79 32.17 40.21 40.72 50.89

7

Betonske konstrukcije - EC2

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

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

8

Betonske konstrukcije - EC2

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

l = l

y x

M xmaks =

q lx2

x

M ymaks =

2 q ly

y

qx = q

qy = (1-kx)q

upeti leaj

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

Sluaj 1

l1 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

j1x2 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

D3

j1y4 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

D5

k1x6 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

D7

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

0.156 0.190 0.2