General Design Chart an Design Table to EBCS EN 199-1-1:014 isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair is baba University is baba, Ethiopia
General Design Chart an Design Table to EBCS EN 199-1-1:014 1. Strength an eormation characteristics or concrete Table 1-1 Strength an eormation characteristics or concrete Strength classes or concrete Class 1/15 1/0 0/5 c (Pa) 1 1 0 cu (Pa) 15 0 5 ctm (Pa) 1. 1.9. Ecm (GPa) 7 9 30 εc εcu n 5/30 5 30. 31 30/37 30 37.9 33.0 3.5.0 35/45 35 45 3. 34 40/50 40 50 3.5 35 45/55 45 55 3.8 3 50/0 50 0 4.1 37 55/7 55 7 4. 38. 3.1 1.75 0/75 0 75 4.4 39.3.9 1. 70/85 70 85 4. 41.4.7 1.45 80/95 80 95 4.8 4.5. 1.4 90/105 90 105 5.0 44.. 1.4 Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 1
General Design Chart an Design Table to EBCS EN 199-1-1:014 Reinorcing steel tension strain limit B Concrete compression strain limit C Concrete pure compression strain limit Figure 1-1 Possible strain istribution in the ultimate limit state Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair.
General Design Chart an Design Table to EBCS EN 199-1-1:014. Design is or Reinorce Concrete Beams.1 Design Table or Reinorce Concrete Beams Table -1 Steps to be taen when using Design Tables Calculate cb I, lim, then compression reinorcement is not require an 1 ω b c N I, lim, then compression reinorcement is require an s ω ' 1 s, lim / s ' ω b 1 ω c s lim ' ω b c N Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 3
General Design Chart an Design Table to EBCS EN 199-1-1:014 Table - Design Table or C 1/15 C 50/0 cb ω c b c Percentage Reistribution 0.000 0.000 0.000 1.000 0.000 5.000 0.010 0.010 0.030 0.990 0.773 5.000 0.00 0.00 0.044 0.985 1.14 5.000 0.030 0.031 0.055 0.980 1.44 5.000 0.040 0.041 0.0 0.97 1.73 5.000 0.050 0.051 0.07 0.971.00 5.000 0.00 0.0 0.08 0.97.35 5.000 0.070 0.073 0.097 0.9.8 5.000 0.080 0.084 0.107 0.95 3.009 5.000 0.090 0.095 0.118 0.951 3.349 5.000 0.100 0.10 0.131 0.94 3.500 3.94 0.110 0.117 0.145 0.940 3.500 0.709 0.10 0.18 0.159 0.934 3.500 18.55 0.130 0.140 0.173 0.98 3.500 1.7 0.140 0.15 0.188 0.9 3.500 15.159 0.150 0.14 0.0 0.91 3.500 13.799 0.10 0.17 0.17 0.910 3.500 1.08 0.170 0.188 0.3 0.903 3.500 11.555 0.180 0.01 0.48 0.897 3.500 10.18 0.190 0.13 0.4 0.890 3.500 9.777 0.00 0. 0.80 0.884 3.500 9.019 0.05 0.33 0.88 0.880 3.500 8.53 0% 0.10 0.39 0.9 0.877 3.500 8.33 0.0 0.53 0.31 0.870 3.500 7.70 0.30 0. 0.39 0.83 3.500 7.13 0.40 0.80 0.34 0.85 3.500.05 0.50 0.95 0.34 0.849 3.500.118 0.5 0.98 0.38 0.847 3.500.011 10% 0.0 0.309 0.38 0.841 3.500 5.7 0.70 0.34 0.400 0.834 3.500 5.47 0.80 0.339 0.419 0.8 3.500 4.85 0.90 0.355 0.438 0.818 3.500 4.490 0.95 0.33 0.448 0.814 3.500 4.313 0% Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 4
General Design Chart an Design Table to EBCS EN 199-1-1:014 Table -3 Design Table or C 55/7 cb ω c b c Percentage Reistribution 0.000 0.000 0.000 1.000 0.000 5.000 0.010 0.010 0.033 0.989 0.855 5.000 0.00 0.00 0.048 0.983 1.5 5.000 0.030 0.031 0.00 0.979 1.59 5.000 0.040 0.041 0.071 0.975 1.901 5.000 0.050 0.05 0.081 0.970.0 5.000 0.00 0.0 0.091 0.9.509 5.000 0.070 0.073 0.10 0.91.87 5.000 0.080 0.084 0.113 0.95 3.100 4.379 0.090 0.095 0.18 0.950 3.100 1.177 0.100 0.10 0.143 0.944 3.100 18.13 0.110 0.117 0.158 0.938 3.100 1.514 0.10 0.19 0.174 0.93 3.100 14.73 0.130 0.140 0.189 0.9 3.100 13.80 0.13 0.147 0.198 0.9 3.100 1.557 0% 0.140 0.15 0.05 0.90 3.100 1.007 0.150 0.14 0.1 0.913 3.100 10.903 0.10 0.17 0.38 0.907 3.100 9.935 0.170 0.189 0.55 0.900 3.100 9.080 0.180 0.01 0.71 0.894 3.100 8.318 0.181 0.03 0.74 0.893 3.100 8.14 10% 0.190 0.14 0.89 0.887 3.100 7.35 0.00 0.7 0.30 0.880 3.100 7.019 0.10 0.41 0.34 0.873 3.100.41 0.0 0.54 0.34 0.8 3.100 5.951 0.4 0.0 0.350 0.83 3.100 5.757 0% Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 5
General Design Chart an Design Table to EBCS EN 199-1-1:014 Table -4 Design Table or C 0/75 cb ω c b c Percentage Reistribution 0.000 0.000 0.000 1.000 0.000 5.000 0.010 0.010 0.035 0.988 0.90 5.000 0.00 0.00 0.050 0.983 1.3 5.000 0.030 0.031 0.03 0.978 1.73 5.000 0.040 0.041 0.074 0.974 1.988 5.000 0.050 0.05 0.084 0.970.9 5.000 0.00 0.0 0.094 0.95.00 5.000 0.070 0.073 0.105 0.90.900 4.75 0.080 0.084 0.11 0.955.900 1.14 0.090 0.095 0.137 0.948.900 18.340 0.100 0.10 0.153 0.94.900 1.093 0.110 0.117 0.19 0.93.900 14.53 0.10 0.19 0.18 0.930.900 1.719 0.14 0.133 0.19 0.98.900 1.04 0% 0.130 0.141 0.03 0.94.900 11.419 0.140 0.153 0.0 0.917.900 10.303 0.150 0.15 0.37 0.911.900 9.334 0.10 0.177 0.55 0.904.900 8.48 0.1 0.185 0. 0.900.900 8.00 10% 0.170 0.189 0.73 0.897.900 7.73 0.180 0.0 0.91 0.890.900 7.08 0.190 0.15 0.310 0.883.900.49 0.00 0.8 0.38 0.87.900 5.98 0.0 0.3 0.340 0.87.900 5.9 0% Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair.
General Design Chart an Design Table to EBCS EN 199-1-1:014 Table -5 Design Table or C 70/85 cb ω c b c Percentage Reistribution 0.000 0.000 0.000 1.000 0.000 5.000 0.010 0.010 0.037 0.987 0.94 5.000 0.00 0.00 0.053 0.98 1.404 5.000 0.030 0.031 0.0 0.977 1.73 5.000 0.040 0.041 0.077 0.973.08 5.000 0.050 0.05 0.087 0.99.393 5.000 0.00 0.0 0.098 0.95.700 4.90 0.070 0.073 0.115 0.959.700 0.858 0.080 0.084 0.13 0.95.700 17.779 0.090 0.095 0.149 0.94.700 15.38 0.100 0.10 0.17 0.940.700 13.44 0.110 0.118 0.185 0.933.700 11.893 0.111 0.119 0.18 0.933.700 11.81 0% 0.10 0.130 0.03 0.9.700 10.58 0.130 0.141 0. 0.90.700 9.471 0.140 0.153 0.41 0.913.700 8.518 0.149 0.14 0.57 0.907.700 7.80 10% 0.150 0.1 0.0 0.90.700 7.90 0.10 0.178 0.79 0.899.700.95 0.170 0.191 0.99 0.89.700.34 0.180 0.04 0.319 0.884.700 5.753 0.185 0.10 0.39 0.881.700 5.507 0% Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 7
General Design Chart an Design Table to EBCS EN 199-1-1:014 Table - Design Table or C 80/95 cb ω c b c Percentage Reistribution 0.000 0.000 0.000 1.000 0.000 5.000 0.010 0.010 0.038 0.987 0.999 5.000 0.00 0.00 0.055 0.981 1.451 5.000 0.030 0.031 0.08 0.977 1.80 5.000 0.040 0.041 0.079 0.97.149 5.000 0.050 0.05 0.090 0.98.459 5.000 0.00 0.0 0.104 0.93.00.414 0.070 0.073 0.1 0.957.00 18.98 0.080 0.084 0.140 0.950.00 15.908 0.090 0.095 0.159 0.944.00 13.737 0.100 0.107 0.178 0.937.00 11.999 0.103 0.110 0.183 0.935.00 11.08 0% 0.110 0.118 0.197 0.930.00 10.575 0.10 0.130 0.17 0.93.00 9.387 0.130 0.14 0.37 0.91.00 8.380 0.138 0.15 0.53 0.910.00 7.77 10% 0.140 0.154 0.57 0.909.00 7.51 0.150 0.1 0.78 0.901.00.7 0.10 0.179 0.99 0.894.00.108 0.170 0.19 0.30 0.88.00 5.5 0% Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 8
General Design Chart an Design Table to EBCS EN 199-1-1:014 Table -7 Design Table or C 90/105 cb ω c b c Percentage Reistribution 0.000 0.000 0.000 1.000 0.000 5.000 0.010 0.010 0.039 0.987 1.018 5.000 0.00 0.00 0.05 0.981 1.480 5.000 0.030 0.031 0.09 0.97 1.855 5.000 0.040 0.041 0.081 0.97.189 5.000 0.050 0.05 0.091 0.98.504 5.000 0.00 0.0 0.107 0.9.00 1.74 0.070 0.073 0.1 0.95.00 18.107 0.080 0.084 0.145 0.949.00 15.391 0.090 0.09 0.14 0.94.00 13.78 0.099 0.107 0.183 0.935.00 11.08 0% 0.100 0.107 0.183 0.935.00 11.58 0.110 0.118 0.03 0.98.00 10.199 0.10 0.130 0.3 0.91.00 9.043 0.130 0.14 0.44 0.914.00 8.03 0.134 0.148 0.53 0.911.00 7.77 10% 0.140 0.154 0.5 0.907.00 7.1 0.150 0.17 0.8 0.899.00.490 0.10 0.179 0.308 0.891.00 5.850 0.17 0.188 0.33 0.88.00 5.450 0% Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 9
General Design Chart an Design Table to EBCS EN 199-1-1:014. General Design Charts Figure -1 General Design Chart or C 1/15 C 50/0 Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 10
General Design Chart an Design Table to EBCS EN 199-1-1:014 Figure - General Design Chart or C 55/7 Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 11
General Design Chart an Design Table to EBCS EN 199-1-1:014 Figure -3 General Design Chart or C 0/75 Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 1
General Design Chart an Design Table to EBCS EN 199-1-1:014 Figure -4 General Design Chart or C 70/85 Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 13
General Design Chart an Design Table to EBCS EN 199-1-1:014 Figure -5 General Design Chart or C 80/95 Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 14
General Design Chart an Design Table to EBCS EN 199-1-1:014 Figure - General Design Chart or C 90/105 Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 15
General Design Chart an Design Table to EBCS EN 199-1-1:014.3 Design Eamples.3.1 Singly Reinorce Section without Normal Loa Given: Cross-section: b/h/ = 300/00/550 mm ction Eects: Design moment = 350 Nm aterial Data: Concrete C 70/85 an Steel S 40 Require: mount o tension reinorcement or Class I Wors Solution: Using Design Table:,lim,s 0.185,s cb 35010 4.7300550 0.083,lim Since,s,lim, the section is singly reinorce. Reaing ω rom Table -5, 0.0873 c 4.7 b 0.0873 300550 180.5 mm 400 Using General Design Chart:,lim,s 0.185,s cb 35010 4.7300550 0.083,lim Since,s,lim, the section is singly reinorce. Reaing rom Figure -4, Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 1
General Design Chart an Design Table to EBCS EN 199-1-1:014 0.945,s 35010 183.51mm 0.945 550 400.3. Singly Reinorce Section with Normal Loa (Compressive) Given: Cross-section: b/h/ = 300/00/550 mm ction Eects: Design moment = 350 Nm & Normal Loa = 500 Nm aterial Data: Concrete C 70/85 an Steel S 40 Require: mount o tension reinorcement or Class I Wors Solution: Using Design Table:,s,lim,s 350 500 0.185,s cb 47510 4.7300550 550 300 10 3 475 Nm 0.11 Since,s,lim, the section is singly reinorce. Reaing ω rom Table -5,,lim 0.104 c N 4.7 50010 b 0.104 300 550 107.87 mm 400 400 3 Using General Design Chart:,s,lim,s 350 500 0.185,s cb 47510 4.7300550 550 300 10 3 475 Nm 0.11,lim Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 17
General Design Chart an Design Table to EBCS EN 199-1-1:014 Since,s,lim, the section is singly reinorce. Reaing rom Figure -4, 0.95,s N 47510 50010 0.95 550 400 400 3 1084.15mm.3.3 Doubly Reinorce Section with oment Reistribution Given: Cross-section: b/h// = 300/00/550/55 mm ction Eects: Design moment = 00 Nm ater moment reistribution aterial Data: Concrete C 70/85 an Steel S 40 Percent oment Reistribution: 0% Require: mount o tension an compression reinorcement or Class I Wors Solution: Using Design Table:,lim = 0.111 or 0% moment reistribution,s 0010, s 0. 14 cb 4.7300550, lim Since,s >,lim, the section is oubly reinorce. Reaing ωlim rom Table -5, lim 0.119 ',s,lim 1 0.14 0.111 0.0344 / 1 55 550 rea o tension reinorcement, Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 18
General Design Chart an Design Table to EBCS EN 199-1-1:014 ' c 4.7 b 0.119 0.0344 300550 953.1mm lim 400 Chec whether the compression reinorcement has yiele, s 1 c 1 0.10.7 1.3 0.18 s 1.3.0 s ses 1.300 4Pa Calculate the stress in concrete at the level o compression reinorcement to avoi ouble counting o area, cs 1.3 c.4 c, s c 1 1 cs c n 1.3 4.7 1 1.4 1.45 30.0Pa rea o compression reinorcement, s ' b s c c,s 4.7 0.0344 300 550 17.5mm 4 30.0 Using General Design Chart:,lim = 0.111 or 0% moment reistribution,s 0010, s 0. 14 cb 4.7300550, lim Since,s >,lim, the section is oubly reinorce., lim,lim b c 0.111 300550 4.710 470.1Nm Reaing,lim rom Figure -4, Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 19
General Design Chart an Design Table to EBCS EN 199-1-1:014, lim 0.933 rea o tension reinorcement, lim, lim ( ), lim 470.110 (00 470.1) 10 ( ) 0.933 550 400 (550 50) 400 939.7 mm Chec whether the compression reinorcement has yiele, Reaing εs rom Figure -4, 55 550 0.10 s 1.5.0 s ses 1.5 00 50Pa Calculate the stress in concrete at the level o compression reinorcement to avoi ouble counting o area, cs 1.5 c.4 c, s c 1 1 cs c n 1.5 4.7 1 1.4 1.45 30.1Pa rea o compression reinorcement, s s 1 c ( (,lim ) s ) 1 (00 470.1) 10 50 30.1 (550 50) s 1184.01mm Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 0