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ESTRUCTURAS-EN-CONCRETO-JORGE-SEGURA-FRANCO-7ED-pdf

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Estructuras de Concreto 1<br />

Apéndice Método Elástico<br />

fe= 42.2 MPa Ee = 30500 MPa Es = 200000 MPa<br />

f,= 120 MPa n= 6.6<br />

Cuantía balanceada = 0.040454 Cuantía mínima = 0.006767<br />

p k j fe (MPa) K (kN/m 2 ) t. K k2<br />

fe= 14.1 MPa Ec = 17600 MPa Es = 200000 MPa<br />

f, = 170 MPa n = 11.4<br />

Cuantía balanceada = 0.005503 Cuantía mínima = 0.003333<br />

0.0010 0.1085 0.9638 2.21 115.6 0.0930 p k j fe (MPa) K (kN/m 2 ) t. K k2<br />

0.0020 0.1498 0.9501 3.20 227.7 112.1 0.0663<br />

0.0030 0.1802 0.9399 4.00 338.7 111.0 0.0543 0.0010 0.1400 0.9533 2.43 162.2 0.0785<br />

0.0040 0.2049 0.9317 4.69 447.7 109.0 0.0473 0.0020 0.1920 0.9360 3.54 318.1 155.9 0.0561<br />

0.0050 0.2260 0.9247 5.31 554.8 107.1 0.0425<br />

0.0060 0.2446 0.9185 5.89 661.6 106.8 0.0030 0.2296 0.9235<br />

0.0389<br />

4.44 470.7 152.6 0.0461<br />

0.006767 0.2575 0.9142 6.31 742.7 81.1 0.0367 0.003333 0.2403 0.9199 4.72 521.7 51.0 0.0438<br />

0.0070 0.2613 0.9129 6.43 766.9 24.2 0.0361<br />

0.0080 0.2764 0.9079 6.95<br />

0.0040<br />

872.0 105.1<br />

0.2598 0.9134 5.23 620.5 98.8 0.0401<br />

0.0339<br />

0.0090 0.2904 0.9032 7.44 975.7 103.7 0.0320 0.0050 0.2854 0.9049 5.96 769.6 149.1 0.0360<br />

0.0100 0.3033 0.8989 7.92 1079.6 103.9 0.0304 0.005503 0.2970 0.9010 6.30 842.9 73.3 0.0344<br />

0.0110 0.3153 0.8949 8.37 1180.8 101.2 0.0291<br />

0.0120 0.3266 0.8911 8.82 1283.5 102.7 0.0279<br />

0.0130 0.3372 0.8876 9.25 1384.3 100.8 0.0269<br />

0.0140 0.3473 0.8842 9.67 1484.7 100.4 0.0260<br />

0.0150 0.3569 0.8810 10.09 1586.3 101.6 0.0251<br />

0.0160 0.3659 0.8780 10.49 1685.0 98.7 0.0244 f e= 17.6MPa Ec = 19700 MPa Es = 200000 MPa<br />

0.0170 0.3746 0.8751 10.89 1784.9 99.9 0.0237<br />

0.0180 0.3829 0.8724 11.28 1884.0 99.1<br />

f,= 170 MPa<br />

0.0230<br />

n = 10.2<br />

0.0190 0.3909 0.8697 11.67 1983.7 99.7 0.0225 Cuantía balanceada = 0.007472 Cuantía mínima= 0.003333<br />

0.0200 0.3985 0.8672 12.05 2082.1 98.4 0.0219<br />

0.0210 0.4058 0.8647 12.42 2179.1 97.0 0.0214<br />

k fe (MPa) K (kN/m 2 )<br />

0.0220 0.4129 0.8624 12.79 2277.2 98.1<br />

p<br />

0.0210<br />

j<br />

óK k2<br />

0.0230 0.4 197 0.8601 13.15 2373.5 96.3 0.0205<br />

0.0240 0.4263 0.8579 13.51 2470.5 97.0 0.0201<br />

0.0250 0.4327 0.8558 13.87 2568.1 97.6<br />

0.0010<br />

0.0197<br />

0.1330 0.9557 2.56 162.7<br />

0.0784<br />

0.0260 0.4388 0.8537 14.22 2663.4 95.3 0.0194 0.0020 0.1826 0.9391 3.72 319.0 156.3 0.0560<br />

0.0270 0.4448 0.8517 14.57 2759.8 96.4 0.0190<br />

0.0030 0.2187<br />

0.0280 0.4506 0.8498<br />

0.9271 4.67 473.4 154.4 0.0460<br />

14.91 2854.7 94.9 0.0187<br />

0.0290 0.4562 0.8479 15.25 2949.4 94.7 0.0184 0.003333 0.2290 0.9237 4.95 523.5 50.1 0.0437<br />

0.0300 0.4617 0.8461 15.59 3045.1 95.7 0.0181 0.0040 0.2478 0.9174 5.49 624.0 100.5 0.0400<br />

0.0310 0.4670 0.8443 15.93 3140.5 95.4 0.0178<br />

0.0320 0.4722 0.8426 16.27 3236.7 96.2 0.0176<br />

0.0050 0.2724 0.9092 6.24 772.7 148.7 0.0360<br />

0.0330 0.4772 0.8409 16.60 3330.6 93.9 0.0173 0.0060 0.2940 0.9020 6.94 920.2 147.5 0.0330<br />

0.0340 0.4821 0.8393 16.92 3423.1 92.5 0.0171<br />

0.0350 0.4869<br />

0.0070 0.3132 0.8956 7.60 1065.9 145.7<br />

0.8377 17.25 3517.9<br />

0.0306<br />

94.8 0.0169<br />

0.0360 0.4915 0.8362 17.57 3610.6 92.7 0.0166 0.007472 0.3216 0.8928 7.90 1134.1 68.2 0.0297<br />

0.0370 0.4961 0.8346 17.90 3705.7 95.1 0.0164<br />

0.0380 0.5005 0.8332 18.22 3799.0 93.3 0.0162<br />

0.0390 0.5049 0.8317 18.54 3892.7 93.7 0.0160<br />

0.0400 0.5091 0.8303 18.86 3986.1 93.4 0.0158<br />

0.040454 0.5110 0.8297 19.00 4027.8 41.7 0.0158<br />

562<br />

563

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