COLUMNA A
45
1.6864 -0.0007 0 1.6297 -0.0007 0 1.5842 1.683 0.0016 0 1.6161 0.0067 0 1.5232 1.6721 0.0055 0 1.4629 0.0739 0 1.4397 1.6594 0.006 0 1.404 0.096 0 1.3836 1.6416 0.0156 0 1.3617 0.1129 0 1.3406 1.4832 0.0825 0 1.3069 0.1345 0 1.2811 1.4277 0.1058 0 1.2687 0.1499 0 1.2517 1.385 0.1227 0 1.2406 0.1586 0 1.2098 1.3297 0.1446 0 1.1917 0.1735 0 1.1644 1.2928 0.1579 0 1.1362 0.1907 0 1.1152 1.2464 0.1717 0 1.0824 0.2053 0 1.0535 1.2011 0.1855 0 1.0184 0.222 0 0.9968 1.1509 0.2009 0 0.9363 0.2422 0 0.9137 1.0821 0.2189 0 0.8614 0.2584 0 0.8464 1.0305 0.2324 0 0.7772 0.2769 0 0.7501 0.9453 0.2532 0 0.6945 0.2952 0 0.6749 0.8728 0.2697 0 0.6107 0.3131 0 0.5955 0.7798 0.2905 0 0.5467 0.3245 0 0.5292 0.7066 0.3064 0 0.498 0.3316 0 0.4868 0.6219 0.3244 0 0.4096 0.339 0 0.4182 0.5551 0.3369 0 0.3652 0.3414 0 0.3618 0.5043 0.3439 0 0.3141 0.3429 0 0.3129 0.4157 0.3525 0 0.2771 0.3429 0 0.2801 0.3687 0.3551 0 0.2174 0.3411 0 0.2205 0.3153 0.3567 0 0.1753 0.3392 0 0.1792 0.2758 0.3567 0 0.1351 0.3372 0 0.1408 0.2142 0.3548 0 0.1075 0.3347 0 0.1142 0.1714 0.3528 0 0.0717 0.332 0 0.0796 0.1295 0.3508 0 0.0556 0.3305 0 0.0536 0.1008 0.3481 0 0.0337 0.3283 0 0.031 0.0649 0.3454 0 0.0479 0.3438 0 0.0254 0.3416 0 0 0.3388 0
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Hormigón II
Transcript of COLUMNA A
1.6864 -0.0007 0 1.6297 -0.0007 0 1.58421.683 0.0016 0 1.6161 0.0067 0 1.5232
1.6721 0.0055 0 1.4629 0.0739 0 1.43971.6594 0.006 0 1.404 0.096 0 1.38361.6416 0.0156 0 1.3617 0.1129 0 1.34061.4832 0.0825 0 1.3069 0.1345 0 1.28111.4277 0.1058 0 1.2687 0.1499 0 1.25171.385 0.1227 0 1.2406 0.1586 0 1.2098
1.3297 0.1446 0 1.1917 0.1735 0 1.16441.2928 0.1579 0 1.1362 0.1907 0 1.11521.2464 0.1717 0 1.0824 0.2053 0 1.05351.2011 0.1855 0 1.0184 0.222 0 0.99681.1509 0.2009 0 0.9363 0.2422 0 0.91371.0821 0.2189 0 0.8614 0.2584 0 0.84641.0305 0.2324 0 0.7772 0.2769 0 0.75010.9453 0.2532 0 0.6945 0.2952 0 0.67490.8728 0.2697 0 0.6107 0.3131 0 0.59550.7798 0.2905 0 0.5467 0.3245 0 0.52920.7066 0.3064 0 0.498 0.3316 0 0.48680.6219 0.3244 0 0.4096 0.339 0 0.41820.5551 0.3369 0 0.3652 0.3414 0 0.36180.5043 0.3439 0 0.3141 0.3429 0 0.31290.4157 0.3525 0 0.2771 0.3429 0 0.28010.3687 0.3551 0 0.2174 0.3411 0 0.22050.3153 0.3567 0 0.1753 0.3392 0 0.17920.2758 0.3567 0 0.1351 0.3372 0 0.14080.2142 0.3548 0 0.1075 0.3347 0 0.11420.1714 0.3528 0 0.0717 0.332 0 0.07960.1295 0.3508 0 0.0556 0.3305 0 0.05360.1008 0.3481 0 0.0337 0.3283 0 0.0310.0649 0.3454 00.0479 0.3438 00.0254 0.3416 0
0 0.3388 0
-0.0007 0 1.5414 -0.0007 0 1.5013 -0.00070.0295 0 1.4875 0.0264 0 1.4626 0.01960.0646 0 1.4202 0.0549 0 1.3928 0.04780.0873 0 1.3604 0.0776 0 1.3428 0.06890.1042 0 1.3228 0.0947 0 1.2937 0.08660.1274 0 1.2584 0.1174 0 1.2462 0.1060.1383 0 1.2352 0.1287 0 1.2136 0.11920.1529 0 1.2028 0.1413 0 1.1771 0.13280.1669 0 1.1496 0.1572 0 1.133 0.14640.1814 0 1.0956 0.1725 0 1.0782 0.1630.1988 0 1.0407 0.1882 0 1.0242 0.17860.2134 0 0.9776 0.2045 0 0.9634 0.19460.2333 0 0.896 0.2239 0 0.8868 0.2120.249 0 0.8312 0.2392 0 0.8204 0.228
0.2695 0 0.7369 0.2604 0 0.723 0.24870.2854 0 0.6588 0.2753 0 0.6455 0.26480.3022 0 0.5798 0.2921 0 0.5666 0.28040.3138 0 0.5172 0.3011 0 0.5017 0.29070.3198 0 0.4779 0.3066 0 0.4568 0.29580.3256 0 0.4133 0.3121 0 0.4083 0.29860.3278 0 0.3591 0.3142 0 0.3563 0.30060.3292 0 0.3133 0.3155 0 0.3137 0.30180.3279 0 0.282 0.3143 0 0.2839 0.30070.3275 0 0.2227 0.3138 0 0.225 0.30020.3255 0 0.1846 0.312 0 0.19 0.29860.3221 0 0.1457 0.3086 0 0.1506 0.29510.3212 0 0.1207 0.3078 0 0.1265 0.29240.3168 0 0.0878 0.3036 0 0.096 0.29030.3147 0 0.0616 0.3015 0 0.0767 0.2870.312 0 0.041 0.2989 0 0.0517 0.2839
0.0019 0.2778
1.4566 -0.00070 1.415 0.0206 0 1.4128 -0.0007 00 1.371 0.0384 0 1.3577 0.0261 00 1.3187 0.0597 0 1.2962 0.0505 00 1.2771 0.0764 0 1.2479 0.0687 00 1.2213 0.0985 0 1.2005 0.0884 00 1.1922 0.1094 0 1.1656 0.1013 00 1.1554 0.1236 0 1.1291 0.1159 00 1.1172 0.1362 0 1.0974 0.1265 00 1.0665 0.1518 0 1.0467 0.1432 00 1.0066 0.1685 0 0.9883 0.1609 00 0.946 0.1848 0 0.9351 0.1738 00 0.8719 0.2025 0 0.8604 0.1925 00 0.8071 0.2178 0 0.7862 0.2086 00 0.7072 0.2392 0 0.6989 0.228 00 0.6314 0.2539 0 0.6206 0.244 00 0.5516 0.2692 0 0.5408 0.2576 00 0.49 0.2792 0 0.4842 0.2663 00 0.4526 0.2826 0 0.4526 0.2693 00 0.4034 0.2851 0 0.3984 0.2733 00 0.3536 0.287 0 0.3509 0.2734 00 0.3141 0.2881 0 0.3145 0.2745 00 0.2858 0.287 0 0.2877 0.2734 00 0.2337 0.286 0 0.2395 0.2717 00 0.2055 0.2839 0 0.2005 0.2693 00 0.1747 0.2822 0 0.1606 0.2663 00 0.1381 0.2781 0 0.1381 0.2649 00 0.1157 0.2764 0 0.1107 0.2608 00 0.0816 0.2724 0 0.0875 0.2581 00 0.0468 0.2683 0 0.0625 0.2554 000
1.3235 -0.0007 0 1.28191.3716 -0.0007 0 1.3201 0.0009 0 1.11111.3375 0.0163 0 1.2495 0.0328 0 0.95721.2777 0.04 0 1.2045 0.0516 0 0.83951.2368 0.0565 0 1.1497 0.0717 0 0.74341.1778 0.0792 0 1.1181 0.0846 0 0.64381.1504 0.0897 0 1.0822 0.0976 0 0.56261.1129 0.1031 0 1.0456 0.1122 0 0.47291.0805 0.1167 0 1.004 0.1249 0 0.37441.0307 0.1326 0 0.9533 0.1415 0 0.26580.9856 0.1473 0 0.8999 0.1555 0 0.16730.9208 0.1647 0 0.8293 0.1725 0 0.06480.8492 0.1814 0 0.7662 0.1878 0 00.7744 0.1994 0 0.6637 0.2083 0 1.23910.6944 0.2158 0 0.5881 0.2222 0 1.07470.6044 0.2332 0 0.5158 0.2358 0 0.9560.5371 0.2451 0 0.4565 0.2431 0 0.82790.4889 0.2526 0 0.4316 0.2448 0 0.73040.4424 0.2566 0 0.3885 0.2446 0 0.6440.395 0.2604 0 0.3454 0.2462 0 0.55
0.3481 0.2598 0 0.3153 0.2471 0 0.4550.3149 0.2608 0 0.2915 0.2462 0 0.37130.2896 0.2598 0 0.2428 0.2444 0 0.27110.2445 0.258 0 0.2112 0.2424 0 0.18210.2046 0.2556 0 0.1822 0.2407 0 0.07750.1672 0.2526 0 0.1546 0.2376 0 0.00280.143 0.2515 0 0.1373 0.2363 0 0
0.1206 0.2481 0 0.1098 0.2325 00.094 0.245 0 0.0682 0.2264 0
0.0557 0.2393 0 0 0.2147 0
0.0006 0 1.1995 -0.0012 0 1.1514 0.00050.0699 0 1.0308 0.0651 0 1.0102 0.05570.1251 0 0.9154 0.1063 0 0.8896 0.09840.1566 0 0.8105 0.137 0 0.7901 0.12860.1793 0 0.7123 0.1597 0 0.6929 0.15090.1999 0 0.6213 0.1785 0 0.6008 0.16940.2143 0 0.5413 0.1929 0 0.5315 0.18070.2279 0 0.4501 0.2043 0 0.4768 0.1890.234 0 0.3749 0.2094 0 0.3753 0.1957
0.2328 0 0.2763 0.2058 0 0.2816 0.19230.2248 0 0.1827 0.1969 0 0.1939 0.18380.2104 0 0.0892 0.1833 0 0.1117 0.17240.2007 0 0.0038 0.1668 0 0.0315 0.15580.0001 0 0 0.1653 0 0 0.14470.066 0
0.1103 00.1461 00.1698 00.1859 00.2038 00.2169 00.2209 00.2193 00.2117 00.1978 00.1829 00.1819 0
0 1.1066 0.0005 0 1.062 -0.0001 00 0.987 0.0463 0 0.9599 0.0399 00 0.8832 0.0853 0 0.8503 0.0802 00 0.7794 0.1164 0 0.7525 0.1102 00 0.6876 0.1391 0 0.6689 0.1312 00 0.5946 0.1575 0 0.5806 0.1482 00 0.5295 0.168 0 0.5136 0.1581 00 0.4405 0.1804 0 0.435 0.1668 00 0.3757 0.1821 0 0.3762 0.1684 00 0.2868 0.1788 0 0.2921 0.1653 00 0.2035 0.1709 0 0.2139 0.1579 00 0.1329 0.1593 0 0.1349 0.1441 00 0.0549 0.1436 0 0.0622 0.1284 00 0 0.1259 0 0.002 0.1092 0
0 0.1079 0
1.026 -0.0007 0 0.9742 -0.0005 0 0.93210.8747 0.0537 0 0.8478 0.046 0 0.82550.8108 0.0778 0 0.7743 0.0725 0 0.7560.7293 0.103 0 0.7124 0.0933 0 0.69350.6548 0.1209 0 0.6407 0.1106 0 0.62660.5746 0.1353 0 0.5586 0.1265 0 0.54760.517 0.1443 0 0.4992 0.1352 0 0.49190.433 0.1537 0 0.4263 0.1417 0 0.4241
0.3898 0.1553 0 0.378 0.1419 0 0.38940.3027 0.1522 0 0.3066 0.1389 0 0.3130.2301 0.145 0 0.2346 0.1307 0 0.24360.173 0.1353 0 0.1718 0.1199 0 0.1876
0.0923 0.1189 0 0.1048 0.104 0 0.12840.0347 0.0997 0 0.0327 0.0802 0 0.05810.0034 0.0879 0 0.0014 0.0684 0 0.0042
0 0.0861 0 0 0.0676 0 0
-0.0007 0 0.8792 0.0006 0 0.8374 -0.00050.0371 0 0.8037 0.0279 0 0.8088 0.01050.0634 0 0.7326 0.0545 0 0.7316 0.03820.0822 0 0.6752 0.0731 0 0.669 0.06060.1004 0 0.6084 0.0915 0 0.617 0.07590.1156 0 0.5312 0.1057 0 0.565 0.08790.1238 0 0.4852 0.1114 0 0.5216 0.09540.1284 0 0.4311 0.115 0 0.4791 0.10030.1288 0 0.3955 0.1164 0 0.4288 0.10320.1252 0 0.3192 0.1122 0 0.3634 0.10180.1171 0 0.2533 0.1045 0 0.3218 0.09860.1071 0 0.2063 0.0941 0 0.2671 0.09040.0918 0 0.1497 0.0794 0 0.2185 0.08160.0693 0 0.0825 0.0579 0 0.1665 0.0670.0477 0 0.031 0.0373 0 0.1073 0.04670.0457 0 0 0.0229 0 0.0579 0.0269
0 0
0 1.728 -0.0011 00 1.7109 0.0105 00 1.6852 0.0212 00 1.6674 0.0286 00 1.6554 0.027 00 1.5047 0.0917 00 1.4683 0.1073 00 1.4223 0.1259 00 1.3498 0.1543 00 1.326 0.1632 00 1.2767 0.1777 00 1.2206 0.1948 00 1.1702 0.2099 00 1.0966 0.2295 00 1.0425 0.2436 00 0.9572 0.2642 00 0.8841 0.2805 0
0.7652 0.3068 00.7188 0.3174 00.6356 0.335 00.576 0.3472 0
0.5434 0.3523 00.511 0.3571 0
0.4627 0.3622 00.4163 0.3658 00.3705 0.3681 00.3155 0.3696 00.2753 0.3694 00.2121 0.3692 00.1674 0.3671 00.1236 0.3649 00.0938 0.3622 00.0578 0.3595 00.0398 0.3578 00.0167 0.3555 0
0 0.3537 0
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.80
0.05
0.1
0.15
0.2
0.25
0.3
0.35 w=0.95
w=0.90
w=0.85
w=0.80
w=0.75
w=0.70
w=0.65
w=0.60
w=0.55
w=0.50
w=0.45
w=0.40
w=0.35
w=0.30
w=0.25
w=0.2
w=0.15
w=0.10
w=0.05
w=0
w=1
xz
yzV
U
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.80
0.05
0.1
0.15
0.2
0.25
0.3
0.35w=0.95
w=0.90
w=0.85
w=0.80
w=0.75
w=0.70
w=0.65
w=0.60
w=0.55
w=0.50
w=0.45
w=0.40
w=0.35
w=0.30
w=0.25
w=0.2
w=0.15
w=0.10
w=0.05
w=0
w=1
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.80
0.05
0.1
0.15
0.2
0.25
0.3
0.35w=0.95
w=0.90
w=0.85
w=0.80
w=0.75
w=0.70
w=0.65
w=0.60
w=0.55
w=0.50
w=0.45
w=0.40
w=0.35
w=0.30
w=0.25
w=0.2
w=0.15
w=0.10
w=0.05
w=0
w=1
CALCULO DE ARMADURA DE COLUMNA A-6 NIVEL I PARA EL N - MymaxCOLUMNA Nº 79
yfck = 225 Kg/cm² γc = 1.7 fcd = 119.12 Kg/cm²fyk = 4600 Kg/cm² γf = 1.8 fyd = 3833 Kg/cm²
2.3781 Es = 2100 Ton/cm² γs = 1.240 3.2557
x N= 58.58 T ex = 5.5578 cm.Mx= 2.3781 T-m ey= 4.0595 cm.My= 3.2557 T-m
1.3691 < 0.25 FLEXION SIMPLE
40 Los momentos Mx y My se
utilizara en funcion al eje de rotacion
ANALISIS EN EL PLANO XZ
0.3951 40 40 I= 213333.33333 1.58024.00
6.00
0.1667 30 60 I= 135000 1Ø= 3.8291
6.50 0.2431 40 40 I= 213333.33333 1.5802
Ø= 0.5
a = 1.5352 > 1 TRANSLACIONALi = 11.547 cm.
λm= 82.431 > 35 EXITE EFECTO DE PANDEO
I. CALCULO DE LA EXCENTRICIDADetx = ec + ea TOMAR EN CUENTA EFECTO DE PANDEO
a) Excentricidad minima en columnas
2.00 cm.25.4826 → emin = 2.00 cm.
4.0595 ec ea emin = 2.00 cm.40 b) Excentricidad calculado inicial
ec > emin → ec = 5.5578 cm.
c) Excentricidad adicional por pandeo40
19.925 cmd) Excentricidad total
Ng= 44.242 0.7552 > 0.7 → ε = 0.004etx = ec + ea etx = 25.483 cm. N = 58.58ey > emin ey = 4.0595 cm. 0.0022
ex /bey /h
=
=
=
=IL=
IL=
IL=
ea=(1+0 .12∗β ) (ε y+ε )h+20∗ech+10∗ec
∗(α ln )2
50∗i
ε y=fydEs
=
emin=h
20=
=φ=∑( IL )C∑ ( IL )V
NgN
=
λ=α(H−
h1
2 )i
Para aceros en las 4 caras tenemos que: β = 1.5CALCULO DE LA CUANTIA
0.5533 0.352 0.0561
v β Interpolando la v = 0.5533 → β = 0.74670.5 0.8
0.5533 0.7467 1.2427 0.22540.6 0.7
RESUMEN: μ = 0.2254 v = 0.5533 → ω = 0.500
II. CALCULO DE LA EXCENTRICIDAD
ety = ec + ea TOMAR EN CUENTA EFECTO DE PANDEO
a) Excentricidad minima en columnasea
21.887 2.00 cm.ec → emin = 2.00 cm.
40 emin = 2.00 cm.
5.5578 b) Excentricidad calculado inicial
40 ec > emin → ec = 4.0595 cm.
c) Excentricidad adicional por pandeo
17.827 cm
Ng= 44.242 0.7552 > 0.7 → ε = 0.004N = 58.58
0.0018
Para aceros en las 4 caras tenemos que: β = 1.5
d) Excentricidad total
ety = ec + ea ety = 21.887 cm.ex > emin ex = 5.5578 cm.
CALCULO DE LA CUANTIA
0.5533 0.077 0.3027
v β Interpolando la v = 0.5533 → β = 0.74670.5 0.8
0.5533 0.7467 1.2427 0.19440.6 0.7
v=Nd
b∗h∗fcd= μx=
Nd∗exh∗b2∗fcd
= μ y=Nd∗eyh2∗b∗fcd
=
α=log2log(1+ β )
= μ=α√μxα+μ yα=
ea=(1+0 .12∗β ) (ε y+ε )h+20∗ech+10∗ec
∗(α ln )2
50∗i
ε y=fydEs
=
emin=h
20=
v=Nd
b∗h∗fcd= μx=
Nd∗exh∗b2∗fcd
= μ y=Nd∗eyh2∗b∗fcd
=
α=log2log(1+ β )
= μ=α√μxα+μ yα=
NgN
=
v=Nd
b∗h∗fcd=
v=Nd
b∗h∗fcd=
RESUMEN: μ = 0.1944 v = 0.5533 → ω = 0.390
CALCULO DE ARMADURA DE COLUMNA A-6 NIVEL I PARA EL N - MymaxCOLUMNA Nº 79
yfck = 225 Kg/cm² γc = 1.7 fcd = 119.12 Kg/cm²fyk = 4600 Kg/cm² γf = 1.8
2.3781 Es = 2100 Ton/cm² γs = 1.2 fyd = 3833 Kg/cm²40 3.2557
x N= 58.58 T ex = 5.5578 cm.Mx= 2.3781 T-m ey= 4.0595 cm.My= 3.2557 T-m
1.3691 < 0.25 FLEXION SIMPLE
40 Los momentos Mx y My se
utilizara en funcion al eje de rotacion
ANALISIS EN EL PLANO YZ
0.3951 40 40 I= 213333.33333 1.58024.00
7.00
0.1429 30 60 I= 135000 1Ø= 4.4672
6.50 0.2431 40 40 I= 213333.33333 1.5802
Ø= 0.5
a = 1.5754 > 1 TRANSLACIONALi = 11.547 cm.
λm= 84.59 > 35 EXITE EFECTO DE PANDEO
I. CALCULO DE LA EXCENTRICIDADetx = ec + ea TOMAR EN CUENTA EFECTO DE PANDEO
a) Excentricidad minima en columnas
2.00 cm.26.5399 → emin = 2.00 cm.
4.0595 ec ea emin = 2.00 cm.40 b) Excentricidad calculado inicial
ec > emin → ec = 5.5578 cm.
c) Excentricidad adicional por pandeo40
20.982 cm
d) Excentricidad total Ng= 44.242 0.7552 > 0.7 → ε = 0.004N = 58.58
ex /bey /h
=
=
=
=IL=
IL=
IL=
=
ea=(1+0 .12∗β ) (ε y+ε )h+20∗ech+10∗ec
∗(α ln )2
50∗i
ε y=fydEs
=
emin=h
20=
NgN
=
λ=α(H−
h1
2 )i
etx = ec + ea etx = 26.540 cm. 0.0022ey > emin ey = 4.0595 cm.
Para aceros en las 4 caras tenemos que: β = 1.5CALCULO DE LA CUANTIA
0.5533 0.3671 0.0561
v β Interpolando la v = 0.5533 → β = 0.74670.5 0.8
0.5533 0.7467 1.2427 0.23870.6 0.7
RESUMEN: μ = 0.2387 v = 0.5533 → ω = 0.560
II. CALCULO DE LA EXCENTRICIDAD
ety = ec + ea TOMAR EN CUENTA EFECTO DE PANDEO
ea a) Excentricidad minima en columnas24.009
ec 2 cm. → emin = 2 cm.40
5.5578 b) Excentricidad calculado inicialec > emin → ec = 4.0595 cm.
40
c) Excentricidad adicional por pandeo
19.950 cm
Ng= 44.242 0.7552 > 0.7 ® ε = 0.004N = 58.58
0.0022
Para aceros en las 4 caras tenemos que: β = 1.5
d) Excentricidad total
ety = ec + ea ety = 24.009 cm.ex > emin ex = 5.5578 cm.
CALCULO DE LA CUANTIA
0.5533 0.0769 0.3321
v β Interpolando la v = 0.5533 → β = 0.74670.5 0.8
0.5533 0.7467 1.2427 0.21970.6 0.7
ea=(1+0 .12∗β ) (ε y+ε )h+20∗ech+10∗ec
∗(α ln )2
50∗i
ε y=fydEs
=
emin=h
20=
v=Nd
b∗h∗fcd= μx=
Nd∗exh∗b2∗fcd
= μ y=Nd∗eyh2∗b∗fcd
=
α=log2log(1+ β )
= μ=α√μxα+μ yα=
ε y=fydEs
=
v=Nd
b∗h∗fcd= μx=
Nd∗exh∗b2∗fcd
= μ y=Nd∗eyh2∗b∗fcd
=
α=log2log(1+ β )
= μ=α√μxα+μ yα=
NgN
=
v=Nd
b∗h∗fcd=
v=Nd
b∗h∗fcd=
RESUMEN: μ = 0.2197 v = 0.5533 → ω = 0.480
CALCULO DE ACERO DE LA COLUMNA
fck = 225 Kg/cm² γc = 1.7 fcd = 119.12 Kg/cm²fyk = 4600 Kg/cm² γs = 1.2 fyd = 3833 Kg/cm²
ρ min = 0.0054 (TABLA SEGÚN GIMENEZ MONTOYA)
N - Mymax Mxmaxμ v ω μ v ω
PLANO xzetx 0.225 0.553 0.500 0.222 0.553 0.495ety 0.194 0.553 0.390 0.196 0.553 0.400
PLANO yzetx 0.239 0.553 0.560 0.235 0.553 0.537ety 0.220 0.553 0.480 0.221 0.553 0.487
Para el diseño se utiliza el valor:
ω = 0.560> 0.20 No se ajusta< 0.60 No se ajusta
27.842 cm² 8 Ø 16 16.085 cm²4 Ø 20 12.566 cm²
CALCULO DEL ACERO MINIMO
8.64 cm² 4 Ø 16 8.0425 cm²
CALCULO DEL ESTRIBO DE LA COLUMNA
6 mmSe asume el mayor: 6 mm
5 mm
CALCULO DE LA SEPARACION DEL ESTRIBO.
S = 24 cm.
S = 40 cm.Se asume el menor: S = 24 cm.
S = 30 cm.
2 Ø 20
Ø 6 c / 24 8 Ø 16
402 Ø 24
Æe =Æe =
Æe =
As=ωb .h . fcdfyd
=
φe≥6mm
⇒
φe≥14φmax
S≤15φminS≤b ⇒
S≤30cm
Amin= ρmin .b .h=
40
CALCULO DE ARMADURA DE COLUMNA A-6 NIVEL I PARA MxmaxCOLUMNA Nº 79
yfck = 225 Kg/cm² γc = 1.7 fcd = 119.12 Kg/cm²fyk = 4600 Kg/cm² γf = 1.8 fyd = 3833 Kg/cm²
2.4712 Es = 2100 Ton/cm² γs = 1.240 3.1178
x N= 58.521 T ex = 5.3277 cm.Mx= 2.4712 T-m ey= 4.2228 cm.My= 3.1178 T-m
1.2616 < 0.25 FLEXION SIMPLE
40 Los momentos Mx y My se
utilizara en funcion al eje de rotacion
ANALISIS EN EL PLANO XZ
0.3951 40 40 I= 213333.33333 1.58024.00
6.00
0.1667 30 60 I= 135000 1Ø= 3.8291
6.50 0.2431 40 40 I= 213333.33333 1.5802
Ø= 0.5
a = 1.5352 > 1 TRANSLACIONALi = 11.547 cm.
λm= 82.431 > 35 EXITE EFECTO DE PANDEO
I. CALCULO DE LA EXCENTRICIDADetx = ec + ea TOMAR EN CUENTA EFECTO DE PANDEO
a) Excentricidad minima en columnas
2.00 cm.25.1225 → emin = 2.00 cm.
4.22282 ec ea emin = 2.00 cm.40 b) Excentricidad calculado inicial
ec > emin → ec = 5.3277 cm.
c) Excentricidad adicional por pandeo40
19.795 cmd) Excentricidad total
Ng= 44.242 0.756 > 0.7 → ε = 0.004etx = ec + ea etx = 25.122 cm. N = 58.521ey > emin ey = 4.2228 cm. 0.0022
ex /bey /h
=
=
=
=IL=
IL=
IL=
ea=(1+0 .12∗β ) (ε y+ε )h+20∗ech+10∗ec
∗(α ln )2
50∗i
ε y=fydEs
=
emin=h
20=
=φ=∑( IL )C∑ ( IL )V
NgN
=
λ=α(H−
h1
2 )i
Para aceros en las 4 caras tenemos que: β = 1.5CALCULO DE LA CUANTIA
0.5527 0.3471 0.0583
v β Interpolando la v = 0.5527 → β = 0.74730.5 0.8
0.5527 0.7473 1.242 0.22230.6 0.7
RESUMEN: μ = 0.2223 v = 0.5527 → ω = 0.495
II. CALCULO DE LA EXCENTRICIDAD
ety = ec + ea TOMAR EN CUENTA EFECTO DE PANDEO
a) Excentricidad minima en columnasea
22.167 2.00 cm.ec → emin = 2.00 cm.
40 emin = 2.00 cm.
5.3277 b) Excentricidad calculado inicial
40 ec > emin → ec = 4.2228 cm.
c) Excentricidad adicional por pandeo
17.944 cm
Ng= 44.242 0.756 > 0.7 → ε = 0.004N = 58.521
0.0018
Para aceros en las 4 caras tenemos que: β = 1.5
d) Excentricidad total
ety = ec + ea ety = 22.167 cm.ex > emin ex = 5.3277 cm.
CALCULO DE LA CUANTIA
0.5527 0.074 0.3063
v β Interpolando la v = 0.5527 → β = 0.74730.5 0.8
0.5527 0.7473 1.242 0.19590.6 0.7
v=Nd
b∗h∗fcd= μx=
Nd∗exh∗b2∗fcd
= μ y=Nd∗eyh2∗b∗fcd
=
α=log2log(1+ β )
= μ=α√μxα+μ yα=
ea=(1+0 .12∗β ) (ε y+ε )h+20∗ech+10∗ec
∗(α ln )2
50∗i
ε y=fydEs
=
emin=h
20=
v=Nd
b∗h∗fcd= μx=
Nd∗exh∗b2∗fcd
= μ y=Nd∗eyh2∗b∗fcd
=
α=log2log(1+ β )
= μ=α√μxα+μ yα=
NgN
=
RESUMEN: μ = 0.1959 v = 0.5527 → ω = 0.400
CALCULO DE ARMADURA DE COLUMNA A-6 NIVEL I PARA EL MxmaxCOLUMNA Nº 79
yfck = 225 Kg/cm² γc = 1.7 fcd = 119.12 Kg/cm²fyk = 4600 Kg/cm² γf = 1.8
2.4712 Es = 2100 Ton/cm² γs = 1.2 fyd = 3833 Kg/cm²40 3.1178
x N= 58.521 T ex = 5.3277 cm.Mx= 2.4712 T-m ey= 4.2228 cm.My= 3.1178 T-m
1.2616 < 0.25 FLEXION SIMPLE
40 Los momentos Mx y My se
utilizara en funcion al eje de rotacion
ANALISIS EN EL PLANO YZ
0.3951 40 40 I= 213333.33333 1.58024.00
7.00
0.1429 30 60 I= 135000 1Ø= 4.4672
6.50 0.2431 40 40 I= 213333.33333 1.5802
Ø= 0.5
a = 1.5754 > 1 TRANSLACIONALi = 11.547 cm.
λm= 84.59 > 35 EXITE EFECTO DE PANDEO
I. CALCULO DE LA EXCENTRICIDADetx = ec + ea TOMAR EN CUENTA EFECTO DE PANDEO
a) Excentricidad minima en columnas
2.00 cm.26.1728 → emin = 2.00 cm.
4.22282 ec ea emin = 2.00 cm.40 b) Excentricidad calculado inicial
ec > emin → ec = 5.3277 cm.
c) Excentricidad adicional por pandeo40
20.845 cm
d) Excentricidad total Ng= 44.242 0.756 > 0.7 → ε = 0.004N = 58.521
ex /bey /h
=
=
=
=IL=
IL=
IL=
=
ea=(1+0 .12∗β ) (ε y+ε )h+20∗ech+10∗ec
∗(α ln )2
50∗i
ε y=fydEs
=
emin=h
20=
NgN
=
λ=α(H−
h1
2 )i
etx = ec + ea etx = 26.173 cm. 0.0022ey > emin ey = 4.2228 cm.
Para aceros en las 4 caras tenemos que: β = 1.5CALCULO DE LA CUANTIA
0.5527 0.3616 0.0583
v β Interpolando la v = 0.5527 → β = 0.74730.5 0.8
0.5527 0.7473 1.242 0.23540.6 0.7
RESUMEN: μ = 0.2354 v = 0.5527 → ω = 0.537
II. CALCULO DE LA EXCENTRICIDAD
ety = ec + ea TOMAR EN CUENTA EFECTO DE PANDEO
ea a) Excentricidad minima en columnas24.303
ec 2 cm. → emin = 2 cm.40
5.3277 b) Excentricidad calculado inicial
40 ec > emin → ec = 4.2228 cm.
c) Excentricidad adicional por pandeo
20.081 cm
Ng= 44.242 0.756 > 0.7 ® ε = 0.004N = 58.521
0.0022
Para aceros en las 4 caras tenemos que: β = 1.5
d) Excentricidad total
ety = ec + ea ety = 24.303 cm.ex > emin ex = 5.3277 cm.
CALCULO DE LA CUANTIA
0.5527 0.0736 0.3358
v β Interpolando la v = 0.5527 → β = 0.74730.5 0.8
0.5527 0.7473 1.242 0.22140.6 0.7
ea=(1+0 .12∗β ) (ε y+ε )h+20∗ech+10∗ec
∗(α ln )2
50∗i
ε y=fydEs
=
emin=h
20=
v=Nd
b∗h∗fcd= μx=
Nd∗exh∗b2∗fcd
= μ y=Nd∗eyh2∗b∗fcd
=
α=log2log(1+ β )
= μ=α√μxα+μ yα=
ε y=fydEs
=
v=Nd
b∗h∗fcd= μx=
Nd∗exh∗b2∗fcd
= μ y=Nd∗eyh2∗b∗fcd
=
α=log2log(1+ β )
= μ=α√μxα+μ yα=
NgN
=
RESUMEN: μ = 0.2214 v = 0.5527 → ω = 0.487
COLUMNA
TABLE: Element Forces - Frames
Frame Station OutputCase P V2 V3 T M2 M3
Text m Text Ton Ton Ton Ton-m Ton-m Ton-m
A6 - I
79 0 COMB1 -44.2421 -0.3182 0.4213 -0.00169 0.92059 -0.68015
79 6.5 COMB1 -44.2421 -0.3182 0.4213 -0.00169 -1.81805 1.38802
79 0 COMB2 -44.2421 -0.3182 0.4213 -0.00169 0.92059 -0.68015
79 6.5 COMB2 -44.2421 -0.3182 0.4213 -0.00169 -1.81805 1.38802
79 0 COMB3 -58.4513 -0.5965 0.7956 -0.00209 1.72978 -1.27924
79 6.5 COMB3 -58.4513 -0.5965 0.7956 -0.00209 -3.44155 2.59794
79 0 COMB4 -58.58 -0.5866 0.8089 -0.00227 1.75931 -1.25756
79 6.5 COMB4 -58.58 -0.5866 0.8089 -0.00227 -3.4984 2.5553
79 0 COMB5 -58.5212 -0.6095 0.7751 -0.00212 1.68754 -1.30599
79 6.5 COMB5 -58.5212 -0.6095 0.7751 -0.00212 -3.35035 2.65554
79 0 COMB6 -43.882 -0.326 0.3879 -0.00143 0.84808 -0.69763
79 6.5 COMB6 -43.882 -0.326 0.3879 -0.00143 -1.67316 1.42117
79 0 COMB7 -43.4992 -0.3079 0.3951 -0.00161 0.86476 -0.65806
79 6.5 COMB7 -43.4992 -0.3079 0.3951 -0.00161 -1.7036 1.34359
79 0 COMB8 -44.1692 -0.3052 0.4307 -0.00192 0.94226 -0.65115
79 6.5 COMB8 -44.1692 -0.3052 0.4307 -0.00192 -1.85753 1.33276
79 0 COMB9 -19.7108 -0.022 0.017 -0.00143 0.04334 -0.0447
79 6.5 COMB9 -19.7108 -0.022 0.017 -0.00143 -0.0673 0.09861
79 0 COMB10 -23.4927 -0.068 0.0655 -0.0021 0.15338 -0.14173
79 6.5 COMB10 -23.4927 -0.068 0.0655 -0.0021 -0.27223 0.30053
79 0 COMB11 -54.018 -0.0187 0.0015 -0.00355 0.01706 -0.03405
79 6.5 COMB11 -54.018 -0.0187 0.0015 -0.00355 0.00757 0.08723
79 0 COMB12 -55.5907 -0.019 0.03 -0.00366 0.07821 -0.03535
79 6.5 COMB12 -55.5907 -0.019 0.03 -0.00366 -0.11701 0.08841
79 0 COMB13 -57.0735 -0.0637 0.0068 -0.00373 0.03138 -0.13006
79 6.5 COMB13 -57.0735 -0.0637 0.0068 -0.00373 -0.01289 0.28422
79 0 COMB14 -22.0699 -0.0678 0.0365 -0.00165 0.08883 -0.14207
79 6.5 COMB14 -22.0699 -0.0678 0.0365 -0.00165 -0.14828 0.29865
79 0 COMB15 -22.3013 -0.0647 0.0635 -0.002 0.14882 -0.13451
79 6.5 COMB15 -22.3013 -0.0647 0.0635 -0.002 -0.26425 0.28606
79 0 COMB16 -21.1227 -0.0241 0.0615 -0.0019 0.14191 -0.04787
79 6.5 COMB16 -21.1227 -0.0241 0.0615 -0.0019 -0.2579 0.10868
79 0 COMB17 -4.3548 -0.0078 0.0104 -0.00011 0.0233 -0.01633
79 6.5 COMB17 -4.3548 -0.0078 0.0104 -0.00011 -0.04421 0.03421
79 0 COMB18 -4.4486 -0.0164 0.0187 -0.00017 0.04178 -0.03467
79 6.5 COMB18 -4.4486 -0.0164 0.0187 -0.00017 -0.07958 0.07197
79 0 COMB19 -9.6056 -0.0087 0.0148 -0.00017 0.03342 -0.01804
79 6.5 COMB19 -9.6056 -0.0087 0.0148 -0.00017 -0.06309 0.03843
79 0 COMB20 -9.741 -0.0085 0.0203 -0.00023 0.04544 -0.0176
79 6.5 COMB20 -9.741 -0.0085 0.0203 -0.00023 -0.08668 0.03779
79 0 COMB21 -9.7474 -0.0187 0.0159 -0.00015 0.03571 -0.03965
79 3.25 COMB21 -9.7474 -0.0187 0.0159 -0.00015 -0.01582 0.02121
79 6.5 COMB21 -9.7474 -0.0187 0.0159 -0.00015 -0.06736 0.08206
79 0 COMB22 -4.375 -0.0161 0.0135 -0.00013 0.03036 -0.03397
79 3.25 COMB22 -4.375 -0.0161 0.0135 -0.00013 -0.01335 0.0182
79 6.5 COMB22 -4.375 -0.0161 0.0135 -0.00013 -0.05707 0.07036
79 0 COMB23 -4.2221 -0.0154 0.0182 -0.00014 0.04054 -0.03264
79 3.25 COMB23 -4.2221 -0.0154 0.0182 -0.00014 -0.01854 0.01749
79 6.5 COMB23 -4.2221 -0.0154 0.0182 -0.00014 -0.07762 0.06762
79 0 COMB24 -4.4189 -0.0079 0.0182 -0.00017 0.04064 -0.01635
79 3.25 COMB24 -4.4189 -0.0079 0.0182 -0.00017 -0.01867 0.00926
79 6.5 COMB24 -4.4189 -0.0079 0.0182 -0.00017 -0.07798 0.03487
79 0 ENV -0.026 -2.133E-06 0.8089 -0.00002504 1.75931 0.00005493
79 3.25 ENV -0.026 -2.133E-06 0.8089 -0.00002504 0.01231 0.67478
79 6.5 ENV -0.026 -2.133E-06 0.8089 -0.00002504 0.00757 2.65554
79 0 ENV -58.58 -0.6095 -0.0001251 -0.00373 -0.00015 -1.30599
79 3.25 ENV -58.58 -0.6095 -0.0001251 -0.00373 -0.86954 0.00006186
79 6.5 ENV -58.58 -0.6095 -0.0001251 -0.00373 -3.4984 0.00006879
VALOR MINIMOS Y MAXIMO MIN -58.58 -0.6095 -0.0001251 -0.00373 -3.4984 -1.30599
MAX -0.026 -2.133E-06 0.8089 -0.00002504 1.75931 2.65554
Ng -44.2421
A6 - II
83 0 COMB1 -27.4743 -1.1233 1.472 -0.00135 3.43119 -2.62616
A6 - II
83 2 COMB1 -27.4743 -1.1233 1.472 -0.00135 0.48727 -0.37957
83 4 COMB1 -27.4743 -1.1233 1.472 -0.00135 -2.45665 1.86703
83 0 COMB2 -27.4743 -1.1233 1.472 -0.00135 3.43119 -2.62616
83 2 COMB2 -27.4743 -1.1233 1.472 -0.00135 0.48727 -0.37957
83 4 COMB2 -27.4743 -1.1233 1.472 -0.00135 -2.45665 1.86703
83 0 COMB3 -27.8113 -1.7413 2.2406 -0.00146 5.72084 -4.4348
83 2 COMB3 -27.8113 -1.7413 2.2406 -0.00146 1.23959 -0.95211
83 4 COMB3 -27.8113 -1.7413 2.2406 -0.00146 -3.24166 2.53058
83 0 COMB4 -28.0925 -1.7147 2.3188 -0.00223 5.87741 -4.36072
83 2 COMB4 -28.0925 -1.7147 2.3188 -0.00223 1.23985 -0.9314
83 4 COMB4 -28.0925 -1.7147 2.3188 -0.00223 -3.39771 2.49793
83 0 COMB5 -28.3388 -1.8499 2.1556 0.00041 5.49795 -4.63557
83 2 COMB5 -28.3388 -1.8499 2.1556 0.00041 1.18678 -0.93579
83 4 COMB5 -28.3388 -1.8499 2.1556 0.00041 -3.12439 2.76398
83 0 COMB6 -27.8608 -1.1958 1.4073 -0.00177 3.23548 -2.74301
83 2 COMB6 -27.8608 -1.1958 1.4073 -0.00177 0.42093 -0.35146
83 4 COMB6 -27.8608 -1.1958 1.4073 -0.00177 -2.39361 2.0401
83 0 COMB7 -27.9621 -1.1538 1.4322 -0.00084 3.26842 -2.62943
83 2 COMB7 -27.9621 -1.1538 1.4322 -0.00084 0.40397 -0.32179
83 4 COMB7 -27.9621 -1.1538 1.4322 -0.00084 -2.46048 1.98585
83 0 COMB8 -27.6956 -1.0986 1.523 -0.00077 3.52348 -2.55311
83 2 COMB8 -27.6956 -1.0986 1.523 -0.00077 0.47741 -0.35588
83 4 COMB8 -27.6956 -1.0986 1.523 -0.00077 -2.56866 1.84135
83 0 COMB9 -18.9236 -0.1539 0.7552 0.0011 1.03788 -0.29514
83 2 COMB9 -18.9236 -0.1539 0.7552 0.0011 -0.47249 0.01261
83 4 COMB9 -18.9236 -0.1539 0.7552 0.0011 -1.98286 0.32037
83 0 COMB10 -21.7852 -0.4521 1.0126 0.00115 1.54427 -0.86259
83 2 COMB10 -21.7852 -0.4521 1.0126 0.00115 -0.48091 0.04154
83 4 COMB10 -21.7852 -0.4521 1.0126 0.00115 -2.50608 0.94567
83 0 COMB11 -52.6301 -0.153 1.9571 0.00319 2.5371 -0.29802
83 2 COMB11 -52.6301 -0.153 1.9571 0.00319 -1.37711 0.00807
83 4 COMB11 -52.6301 -0.153 1.9571 0.00319 -5.29131 0.31416
83 0 COMB12 -53.9105 -0.1508 2.1402 0.00319 2.90146 -0.29495
83 2 COMB12 -53.9105 -0.1508 2.1402 0.00319 -1.37904 0.00657
83 4 COMB12 -53.9105 -0.1508 2.1402 0.00319 -5.65954 0.3081
83 0 COMB13 -55.0935 -0.4409 2.0128 0.00296 2.62242 -0.84218
83 2 COMB13 -55.0935 -0.4409 2.0128 0.00296 -1.40314 0.03961
83 4 COMB13 -55.0935 -0.4409 2.0128 0.00296 -5.4287 0.92139
83 0 COMB14 -20.6329 -0.4447 0.848 0.00079 1.22395 -0.84886
83 2 COMB14 -20.6329 -0.4447 0.848 0.00079 -0.47205 0.04051
83 4 COMB14 -20.6329 -0.4447 0.848 0.00079 -2.16806 0.92988
83 0 COMB15 -20.8576 -0.4421 0.9937 0.00112 1.50138 -0.83625
83 2 COMB15 -20.8576 -0.4421 0.9937 0.00112 -0.48601 0.04797
83 4 COMB15 -20.8576 -0.4421 0.9937 0.00112 -2.47339 0.93219
83 0 COMB16 -19.8982 -0.183 0.9432 0.00167 1.42553 -0.34902
83 2 COMB16 -19.8982 -0.183 0.9432 0.00167 -0.4608 0.01701
83 4 COMB16 -19.8982 -0.183 0.9432 0.00167 -2.34712 0.38304
83 0 COMB17 -4.1674 -0.0448 0.0424 0.00006716 0.08958 -0.08878
83 2 COMB17 -4.1674 -0.0448 0.0424 0.00006716 0.00471 0.00091
83 4 COMB17 -4.1674 -0.0448 0.0424 0.00006716 -0.08017 0.09059
83 0 COMB18 -4.1068 -0.0932 0.0799 0.00005497 0.16783 -0.18415
83 2 COMB18 -4.1068 -0.0932 0.0799 0.00005497 0.00799 0.00235
83 4 COMB18 -4.1068 -0.0932 0.0799 0.00005497 -0.15184 0.18885
83 0 COMB19 -9.3424 -0.0515 0.057 0.00016 0.12128 -0.10238
83 2 COMB19 -9.3424 -0.0515 0.057 0.00016 0.0072 0.00057
83 4 COMB19 -9.3424 -0.0515 0.057 0.00016 -0.10689 0.10352
83 0 COMB20 -9.4288 -0.0497 0.089 0.00015 0.18561 -0.09941
83 2 COMB20 -9.4288 -0.0497 0.089 0.00015 0.00752 0.0000539
83 4 COMB20 -9.4288 -0.0497 0.089 0.00015 -0.17057 0.09952
83 0 COMB21 -9.3646 -0.1041 0.0591 0.00009228 0.12714 -0.20725
83 2 COMB21 -9.3646 -0.1041 0.0591 0.00009228 0.00897 0.00096
83 4 COMB21 -9.3646 -0.1041 0.0591 0.00009228 -0.1092 0.20917
83 0 COMB22 -4.082 -0.0927 0.0531 -0.00001477 0.11502 -0.18186
83 2 COMB22 -4.082 -0.0927 0.0531 -0.00001477 0.00873 0.00357
83 4 COMB22 -4.082 -0.0927 0.0531 -0.00001477 -0.09757 0.18901
A6 - II
83 0 COMB23 -3.9316 -0.0896 0.0756 0.00015 0.15732 -0.17608
83 2 COMB23 -3.9316 -0.0896 0.0756 0.00015 0.00603 0.00315
83 4 COMB23 -3.9316 -0.0896 0.0756 0.00015 -0.14525 0.18237
83 0 COMB24 -4.1581 -0.0475 0.0753 0.00021 0.15681 -0.09414
83 2 COMB24 -4.1581 -0.0475 0.0753 0.00021 0.00631 0.00083
83 4 COMB24 -4.1581 -0.0475 0.0753 0.00021 -0.14419 0.0958
83 0 ENV -0.0223 0.0003838 2.3188 0.00319 5.87741 0.00092
83 2 ENV -0.0223 0.0003838 2.3188 0.00319 1.23985 0.04797
83 4 ENV -0.0223 0.0003838 2.3188 0.00319 -0.00707 2.76398
83 0 ENV -55.0935 -1.8499 0.004 -0.00223 0.00909 -4.63557
83 2 ENV -55.0935 -1.8499 0.004 -0.00223 -1.40314 -0.95211
83 4 ENV -55.0935 -1.8499 0.004 -0.00223 -5.65954 -0.00061
A6 - III
87 0 COMB1 -21.1513 -0.4284 0.6656 -0.00162 1.2396 -0.78675
87 2 COMB1 -21.1513 -0.4284 0.6656 -0.00162 -0.09159 0.07013
87 4 COMB1 -21.1513 -0.4284 0.6656 -0.00162 -1.42278 0.92701
87 0 COMB2 -21.1513 -0.4284 0.6656 -0.00162 1.2396 -0.78675
87 2 COMB2 -21.1513 -0.4284 0.6656 -0.00162 -0.09159 0.07013
87 4 COMB2 -21.1513 -0.4284 0.6656 -0.00162 -1.42278 0.92701
87 0 COMB3 -21.2959 -0.3739 0.6247 -0.00077 1.09521 -0.62575
87 2 COMB3 -21.2959 -0.3739 0.6247 -0.00077 -0.15423 0.12203
87 4 COMB3 -21.2959 -0.3739 0.6247 -0.00077 -1.40366 0.8698
87 0 COMB4 -21.4871 -0.3792 0.6622 -0.00044 1.16979 -0.63929
87 2 COMB4 -21.4871 -0.3792 0.6622 -0.00044 -0.15457 0.11906
87 4 COMB4 -21.4871 -0.3792 0.6622 -0.00044 -1.47893 0.87742
87 0 COMB5 -21.6563 -0.4394 0.6458 -0.00145 1.14564 -0.75942
87 2 COMB5 -21.6563 -0.4394 0.6458 -0.00145 -0.14599 0.11941
87 4 COMB5 -21.6563 -0.4394 0.6458 -0.00145 -1.43762 0.99824
87 0 COMB6 -21.4064 -0.4924 0.6773 -0.00187 1.26729 -0.91946
87 2 COMB6 -21.4064 -0.4924 0.6773 -0.00187 -0.0874 0.06535
87 4 COMB6 -21.4064 -0.4924 0.6773 -0.00187 -1.4421 1.05015
87 0 COMB7 -21.4836 -0.4904 0.7244 -0.00194 1.36613 -0.91562
87 2 COMB7 -21.4836 -0.4904 0.7244 -0.00194 -0.08264 0.06509
87 4 COMB7 -21.4836 -0.4904 0.7244 -0.00194 -1.53142 1.0458
87 0 COMB8 -21.3043 -0.4308 0.7073 -0.00179 1.32478 -0.79308
87 2 COMB8 -21.3043 -0.4308 0.7073 -0.00179 -0.08991 0.06849
87 4 COMB8 -21.3043 -0.4308 0.7073 -0.00179 -1.50459 0.93005
87 0 COMB9 -14.2725 -0.1277 0.8857 0.00036 1.74233 -0.23498
87 2 COMB9 -14.2725 -0.1277 0.8857 0.00036 -0.02898 0.02039
87 4 COMB9 -14.2725 -0.1277 0.8857 0.00036 -1.80029 0.27575
87 0 COMB10 -16.5794 -0.3775 1.0923 0.00025 2.12272 -0.69654
87 2 COMB10 -16.5794 -0.3775 1.0923 0.00025 -0.0619 0.05851
87 4 COMB10 -16.5794 -0.3775 1.0923 0.00025 -2.24652 0.81355
87 0 COMB11 -39.546 -0.1246 2.3904 0.00117 4.72881 -0.22749
87 2 COMB11 -39.546 -0.1246 2.3904 0.00117 -0.05207 0.02166
87 4 COMB11 -39.546 -0.1246 2.3904 0.00117 -4.83295 0.27081
87 0 COMB12 -40.6245 -0.1163 2.5394 0.00029 5.00274 -0.21006
87 2 COMB12 -40.6245 -0.1163 2.5394 0.00029 -0.07609 0.0225
87 4 COMB12 -40.6245 -0.1163 2.5394 0.00029 -5.15492 0.25506
87 0 COMB13 -41.5421 -0.3741 2.4444 0.00181 4.82822 -0.69162
87 2 COMB13 -41.5421 -0.3741 2.4444 0.00181 -0.0605 0.05661
87 4 COMB13 -41.5421 -0.3741 2.4444 0.00181 -4.94923 0.80483
87 0 COMB14 -15.6334 -0.3728 0.9638 -0.00009086 1.89431 -0.68526
87 2 COMB14 -15.6334 -0.3728 0.9638 -0.00009086 -0.03331 0.06036
87 4 COMB14 -15.6334 -0.3728 0.9638 -0.00009086 -1.96094 0.80597
87 0 COMB15 -15.7681 -0.3803 1.0624 0.0011 2.06848 -0.70577
87 2 COMB15 -15.7681 -0.3803 1.0624 0.0011 -0.05638 0.05477
87 4 COMB15 -15.7681 -0.3803 1.0624 0.0011 -2.18125 0.8153
87 0 COMB16 -15.0584 -0.1508 1.0355 0.00044 2.01765 -0.27743
87 2 COMB16 -15.0584 -0.1508 1.0355 0.00044 -0.05334 0.02408
87 4 COMB16 -15.0584 -0.1508 1.0355 0.00044 -2.12434 0.32559
87 0 COMB17 -4.067 -0.0378 0.0333 -0.00007518 0.06059 -0.06773
87 2 COMB17 -4.067 -0.0378 0.0333 -0.00007518 -0.00595 0.00781
87 4 COMB17 -4.067 -0.0378 0.0333 -0.00007518 -0.0725 0.08334
87 0 COMB18 -3.9074 -0.0799 0.0637 -0.00016 0.11567 -0.14332
87 2 COMB18 -3.9074 -0.0799 0.0637 -0.00016 -0.01182 0.01655
A6 - III
87 4 COMB18 -3.9074 -0.0799 0.0637 -0.00016 -0.1393 0.17641
87 0 COMB19 -9.2179 -0.042 0.0436 -0.00008233 0.07989 -0.07526
87 2 COMB19 -9.2179 -0.042 0.0436 -0.00008233 -0.00739 0.00865
87 4 COMB19 -9.2179 -0.042 0.0436 -0.00008233 -0.09467 0.09257
87 0 COMB20 -9.2651 -0.0405 0.0701 -0.00017 0.12742 -0.07228
87 2 COMB20 -9.2651 -0.0405 0.0701 -0.00017 -0.01286 0.00877
87 4 COMB20 -9.2651 -0.0405 0.0701 -0.00017 -0.15314 0.08982
87 0 COMB21 -9.1616 -0.0874 0.0454 -0.00003937 0.0822 -0.15661
87 2 COMB21 -9.1616 -0.0874 0.0454 -0.00003937 -0.00851 0.01814
87 4 COMB21 -9.1616 -0.0874 0.0454 -0.00003937 -0.09923 0.19288
87 0 COMB22 -3.9192 -0.0809 0.0389 -0.00019 0.07185 -0.14507
87 2 COMB22 -3.9192 -0.0809 0.0389 -0.00019 -0.00597 0.0167
87 4 COMB22 -3.9192 -0.0809 0.0389 -0.00019 -0.0838 0.17847
87 0 COMB23 -3.7557 -0.0769 0.0583 0.00001318 0.1061 -0.13887
87 2 COMB23 -3.7557 -0.0769 0.0583 0.00001318 -0.01042 0.01503
87 4 COMB23 -3.7557 -0.0769 0.0583 0.00001318 -0.12695 0.16893
87 0 COMB24 -4.0238 -0.0397 0.0606 -0.00003732 0.11009 -0.07104
87 2 COMB24 -4.0238 -0.0397 0.0606 -0.00003732 -0.01107 0.00827
87 4 COMB24 -4.0238 -0.0397 0.0606 -0.00003732 -0.13224 0.08759
87 0 ENV -0.0194 0.0004408 2.5394 0.00181 5.00274 0.00091
87 2 ENV -0.0194 0.0004408 2.5394 0.00181 -0.00005195 0.12203
87 4 ENV -0.0194 0.0004408 2.5394 0.00181 -0.00497 1.05015
87 0 ENV -41.5421 -0.4924 0.0025 -0.00194 0.00486 -0.91946
87 2 ENV -41.5421 -0.4924 0.0025 -0.00194 -0.15457 0.00002985
87 4 ENV -41.5421 -0.4924 0.0025 -0.00194 -5.15492 -0.00085
A6 - IV
91 0 COMB1 -15.0438 -0.5728 0.7814 -0.00176 1.51847 -1.11869
91 2 COMB1 -15.0438 -0.5728 0.7814 -0.00176 -0.04434 0.02682
91 4 COMB1 -15.0438 -0.5728 0.7814 -0.00176 -1.60716 1.17232
91 0 COMB2 -15.0438 -0.5728 0.7814 -0.00176 1.51847 -1.11869
91 2 COMB2 -15.0438 -0.5728 0.7814 -0.00176 -0.04434 0.02682
91 4 COMB2 -15.0438 -0.5728 0.7814 -0.00176 -1.60716 1.17232
91 0 COMB3 -15.1506 -0.5836 0.8097 -0.00218 1.57997 -1.14592
91 2 COMB3 -15.1506 -0.5836 0.8097 -0.00218 -0.03936 0.02129
91 4 COMB3 -15.1506 -0.5836 0.8097 -0.00218 -1.65869 1.18849
91 0 COMB4 -15.2808 -0.5812 0.8536 -0.00225 1.66628 -1.14065
91 2 COMB4 -15.2808 -0.5812 0.8536 -0.00225 -0.04094 0.02165
91 4 COMB4 -15.2808 -0.5812 0.8536 -0.00225 -1.74815 1.18396
91 0 COMB5 -15.3911 -0.6503 0.8117 -0.00227 1.58262 -1.2769
91 2 COMB5 -15.3911 -0.6503 0.8117 -0.00227 -0.04079 0.02377
91 4 COMB5 -15.3911 -0.6503 0.8117 -0.00227 -1.66419 1.32444
91 0 COMB6 -15.2126 -0.6322 0.7845 -0.00183 1.52385 -1.23504
91 2 COMB6 -15.2126 -0.6322 0.7845 -0.00183 -0.04521 0.02944
91 4 COMB6 -15.2126 -0.6322 0.7845 -0.00183 -1.61427 1.29392
91 0 COMB7 -15.2598 -0.6284 0.8268 -0.00198 1.60544 -1.2273
91 2 COMB7 -15.2598 -0.6284 0.8268 -0.00198 -0.04814 0.02952
91 4 COMB7 -15.2598 -0.6284 0.8268 -0.00198 -1.70173 1.28634
91 0 COMB8 -15.1471 -0.5717 0.8215 -0.00181 1.5966 -1.11642
91 2 COMB8 -15.1471 -0.5717 0.8215 -0.00181 -0.0465 0.02693
91 4 COMB8 -15.1471 -0.5717 0.8215 -0.00181 -1.68959 1.17029
91 0 COMB9 -9.5501 -0.1861 0.9975 0.00086 1.93296 -0.3558
91 2 COMB9 -9.5501 -0.1861 0.9975 0.00086 -0.06199 0.01635
91 4 COMB9 -9.5501 -0.1861 0.9975 0.00086 -2.05694 0.38849
91 0 COMB10 -11.1975 -0.5443 1.2553 0.0016 2.42113 -1.04057
91 2 COMB10 -11.1975 -0.5443 1.2553 0.0016 -0.08948 0.04802
91 4 COMB10 -11.1975 -0.5443 1.2553 0.0016 -2.60009 1.1366
91 0 COMB11 -26.3574 -0.1874 2.6672 0.00179 5.18006 -0.35857
91 2 COMB11 -26.3574 -0.1874 2.6672 0.00179 -0.15428 0.01627
91 4 COMB11 -26.3574 -0.1874 2.6672 0.00179 -5.48861 0.3911
91 0 COMB12 -27.1608 -0.1794 2.8888 0.00084 5.60267 -0.34306
91 2 COMB12 -27.1608 -0.1794 2.8888 0.00084 -0.17484 0.01571
91 4 COMB12 -27.1608 -0.1794 2.8888 0.00084 -5.95234 0.37448
91 0 COMB13 -27.7932 -0.5415 2.7005 0.00334 5.23871 -1.03557
91 2 COMB13 -27.7932 -0.5415 2.7005 0.00334 -0.16235 0.04752
91 4 COMB13 -27.7932 -0.5415 2.7005 0.00334 -5.5634 1.13062
91 0 COMB14 -10.5081 -0.54 1.081 0.00042 2.09401 -1.03133
A6 - IV
91 2 COMB14 -10.5081 -0.54 1.081 0.00042 -0.06789 0.04859
91 4 COMB14 -10.5081 -0.54 1.081 0.00042 -2.2298 1.12851
91 0 COMB15 -10.5706 -0.5277 1.2488 0.00103 2.41246 -1.00897
91 2 COMB15 -10.5706 -0.5277 1.2488 0.00103 -0.08506 0.04634
91 4 COMB15 -10.5706 -0.5277 1.2488 0.00103 -2.58259 1.10164
91 0 COMB16 -10.1135 -0.2145 1.2163 0.0005 2.35079 -0.40929
91 2 COMB16 -10.1135 -0.2145 1.2163 0.0005 -0.08171 0.0197
91 4 COMB16 -10.1135 -0.2145 1.2163 0.0005 -2.51421 0.44869
91 0 COMB17 -3.9304 -0.0637 0.0619 -0.00038 0.11445 -0.11617
91 2 COMB17 -3.9304 -0.0637 0.0619 -0.00038 -0.0094 0.0112
91 4 COMB17 -3.9304 -0.0637 0.0619 -0.00038 -0.13325 0.13857
91 0 COMB18 -3.64 -0.1308 0.1081 -0.00049 0.2016 -0.2417
91 2 COMB18 -3.64 -0.1308 0.1081 -0.00049 -0.01466 0.01987
91 4 COMB18 -3.64 -0.1308 0.1081 -0.00049 -0.23093 0.28144
91 0 COMB19 -9.0444 -0.0747 0.0917 -0.00074 0.16777 -0.13319
91 2 COMB19 -9.0444 -0.0747 0.0917 -0.00074 -0.01566 0.01629
91 4 COMB19 -9.0444 -0.0747 0.0917 -0.00074 -0.1991 0.16578
91 0 COMB20 -9.0334 -0.0731 0.1361 -0.00087 0.25098 -0.12982
91 2 COMB20 -9.0334 -0.0731 0.1361 -0.00087 -0.02125 0.01633
91 4 COMB20 -9.0334 -0.0731 0.1361 -0.00087 -0.29348 0.16248
91 0 COMB21 -8.8786 -0.1494 0.0896 -0.00051 0.16192 -0.27309
91 2 COMB21 -8.8786 -0.1494 0.0896 -0.00051 -0.01728 0.02581
91 4 COMB21 -8.8786 -0.1494 0.0896 -0.00051 -0.19647 0.3247
91 0 COMB22 -3.7042 -0.1315 0.0704 -0.00064 0.13219 -0.24304
91 2 COMB22 -3.7042 -0.1315 0.0704 -0.00064 -0.00865 0.02
91 4 COMB22 -3.7042 -0.1315 0.0704 -0.00064 -0.1495 0.28304
91 0 COMB23 -3.5315 -0.1216 0.1053 -0.00057 0.1977 -0.22487
91 2 COMB23 -3.5315 -0.1216 0.1053 -0.00057 -0.01288 0.01837
91 4 COMB23 -3.5315 -0.1216 0.1053 -0.00057 -0.22346 0.26162
91 0 COMB24 -3.8443 -0.0657 0.107 -0.00048 0.19985 -0.11968
91 2 COMB24 -3.8443 -0.0657 0.107 -0.00048 -0.01415 0.01163
91 4 COMB24 -3.8443 -0.0657 0.107 -0.00048 -0.22815 0.14295
91 0 ENV -0.0164 0.0001835 2.8888 0.00334 5.60267 0.0004
91 2 ENV -0.0164 0.0001835 2.8888 0.00334 0.00015 0.04859
91 4 ENV -0.0164 0.0001835 2.8888 0.00334 -0.00564 1.32444
91 0 ENV -27.7932 -0.6503 0.0029 -0.00227 0.00594 -1.2769
91 2 ENV -27.7932 -0.6503 0.0029 -0.00227 -0.17484 0.00003295
91 4 ENV -27.7932 -0.6503 0.0029 -0.00227 -5.95234 -0.00033
A6 - V
95 0 COMB1 -9.0067 -0.3635 0.512 -0.00056 0.99506 -0.70745
95 2 COMB1 -9.0067 -0.3635 0.512 -0.00056 -0.029 0.01953
95 4 COMB1 -9.0067 -0.3635 0.512 -0.00056 -1.05307 0.7465
95 0 COMB2 -9.0067 -0.3635 0.512 -0.00056 0.99506 -0.70745
95 2 COMB2 -9.0067 -0.3635 0.512 -0.00056 -0.029 0.01953
95 4 COMB2 -9.0067 -0.3635 0.512 -0.00056 -1.05307 0.7465
95 0 COMB3 -9.0684 -0.3661 0.5234 -0.00064 1.01705 -0.71234
95 2 COMB3 -9.0684 -0.3661 0.5234 -0.00064 -0.02973 0.01978
95 4 COMB3 -9.0684 -0.3661 0.5234 -0.00064 -1.07652 0.75189
95 0 COMB4 -9.1436 -0.3652 0.5484 -0.00065 1.06614 -0.71076
95 2 COMB4 -9.1436 -0.3652 0.5484 -0.00065 -0.03068 0.01958
95 4 COMB4 -9.1436 -0.3652 0.5484 -0.00065 -1.1275 0.74991
95 0 COMB5 -9.2034 -0.4063 0.5257 -0.00064 1.02159 -0.79153
95 2 COMB5 -9.2034 -0.4063 0.5257 -0.00064 -0.02988 0.0211
95 4 COMB5 -9.2034 -0.4063 0.5257 -0.00064 -1.08136 0.83372
95 0 COMB6 -9.1018 -0.3996 0.5148 -0.00059 1.00076 -0.7786
95 2 COMB6 -9.1018 -0.3996 0.5148 -0.00059 -0.02888 0.02057
95 4 COMB6 -9.1018 -0.3996 0.5148 -0.00059 -1.05852 0.81973
95 0 COMB7 -9.1257 -0.3987 0.5388 -0.00053 1.04742 -0.7768
95 2 COMB7 -9.1257 -0.3987 0.5388 -0.00053 -0.03016 0.02066
95 4 COMB7 -9.1257 -0.3987 0.5388 -0.00053 -1.10773 0.81812
95 0 COMB8 -9.0658 -0.3632 0.5375 -0.00055 1.04507 -0.70692
95 2 COMB8 -9.0658 -0.3632 0.5375 -0.00055 -0.02999 0.01941
95 4 COMB8 -9.0658 -0.3632 0.5375 -0.00055 -1.10506 0.74574
95 0 COMB9 -4.852 -0.1254 0.6818 0.00039 1.30476 -0.24218
95 2 COMB9 -4.852 -0.1254 0.6818 0.00039 -0.05886 0.00862
95 4 COMB9 -4.852 -0.1254 0.6818 0.00039 -1.42249 0.25941
A6 - V
95 0 COMB10 -5.8197 -0.3717 0.8718 0.0008 1.66816 -0.7163
95 2 COMB10 -5.8197 -0.3717 0.8718 0.0008 -0.07545 0.02702
95 4 COMB10 -5.8197 -0.3717 0.8718 0.0008 -1.81906 0.77035
95 0 COMB11 -13.2602 -0.1215 1.8094 0.00071 3.46268 -0.23605
95 2 COMB11 -13.2602 -0.1215 1.8094 0.00071 -0.15603 0.00686
95 4 COMB11 -13.2602 -0.1215 1.8094 0.00071 -3.77473 0.24977
95 0 COMB12 -13.7566 -0.116 1.9584 0.00027 3.74934 -0.2262
95 2 COMB12 -13.7566 -0.116 1.9584 0.00027 -0.16749 0.00589
95 4 COMB12 -13.7566 -0.116 1.9584 0.00027 -4.08432 0.23797
95 0 COMB13 -14.0951 -0.3681 1.8459 0.00179 3.52843 -0.70892
95 2 COMB13 -14.0951 -0.3681 1.8459 0.00179 -0.16332 0.02726
95 4 COMB13 -14.0951 -0.3681 1.8459 0.00179 -3.85506 0.76344
95 0 COMB14 -5.4133 -0.3654 0.7484 -0.00008411 1.43338 -0.70552
95 2 COMB14 -5.4133 -0.3654 0.7484 -0.00008411 -0.06344 0.02518
95 4 COMB14 -5.4133 -0.3654 0.7484 -0.00008411 -1.56025 0.75589
95 0 COMB15 -5.423 -0.3657 0.8499 0.00098 1.62676 -0.70432
95 2 COMB15 -5.423 -0.3657 0.8499 0.00098 -0.07306 0.02707
95 4 COMB15 -5.423 -0.3657 0.8499 0.00098 -1.77287 0.75846
95 0 COMB16 -5.1877 -0.1484 0.8342 0.0002 1.59919 -0.28601
95 2 COMB16 -5.1877 -0.1484 0.8342 0.0002 -0.06915 0.0108
95 4 COMB16 -5.1877 -0.1484 0.8342 0.0002 -1.73749 0.30761
95 0 COMB17 -3.7666 -0.0302 0.0296 -0.00012 0.07531 -0.06948
95 2 COMB17 -3.7666 -0.0302 0.0296 -0.00012 0.01613 -0.00907
95 4 COMB17 -3.7666 -0.0302 0.0296 -0.00012 -0.04306 0.05133
95 0 COMB18 -3.3159 -0.0995 0.0822 -0.0004 0.16651 -0.19097
95 2 COMB18 -3.3159 -0.0995 0.0822 -0.0004 0.00211 0.00805
95 4 COMB18 -3.3159 -0.0995 0.0822 -0.0004 -0.16228 0.20708
95 0 COMB19 -8.84 0.002 0.0133 -1.506E-06 0.07655 -0.03326
95 2 COMB19 -8.84 0.002 0.0133 -1.506E-06 0.04993 -0.03734
95 4 COMB19 -8.84 0.002 0.0133 -1.506E-06 0.02332 -0.04142
95 0 COMB20 -8.7508 -0.0007503 0.0577 0.0002 0.15316 -0.03794
95 2 COMB20 -8.7508 -0.0007503 0.0577 0.0002 0.03775 -0.03644
95 4 COMB20 -8.7508 -0.0007503 0.0577 0.0002 -0.07765 -0.03494
95 0 COMB21 -8.5348 -0.0755 0.0141 -0.00008557 0.07444 -0.16844
95 2 COMB21 -8.5348 -0.0755 0.0141 -0.00008557 0.0463 -0.01745
95 4 COMB21 -8.5348 -0.0755 0.0141 -0.00008557 0.01816 0.13353
95 0 COMB22 -3.4488 -0.1006 0.0381 -0.00072 0.09506 -0.1921
95 2 COMB22 -3.4488 -0.1006 0.0381 -0.00072 0.01884 0.00918
95 4 COMB22 -3.4488 -0.1006 0.0381 -0.00072 -0.05737 0.21046
95 0 COMB23 -3.2749 -0.0836 0.0738 -0.00045 0.15426 -0.16522
95 2 COMB23 -3.2749 -0.0836 0.0738 -0.00045 0.00659 0.00193
95 4 COMB23 -3.2749 -0.0836 0.0738 -0.00045 -0.14108 0.16909
95 0 COMB24 -3.6315 -0.0324 0.0739 -0.00029 0.15296 -0.07373
95 2 COMB24 -3.6315 -0.0324 0.0739 -0.00029 0.0052 -0.00891
95 4 COMB24 -3.6315 -0.0324 0.0739 -0.00029 -0.14257 0.0559
95 0 ENV -0.013 0.002 1.9584 0.00179 3.74934 0.00115
95 2 ENV -0.013 0.002 1.9584 0.00179 0.04993 0.02726
95 4 ENV -0.013 0.002 1.9584 0.00179 0.02332 0.83372
95 0 ENV -14.0951 -0.4063 0.0034 -0.00072 0.00701 -0.79153
95 2 ENV -14.0951 -0.4063 0.0034 -0.00072 -0.16749 -0.03734
95 4 ENV -14.0951 -0.4063 0.0034 -0.00072 -4.08432 -0.04142
A6 - VI
99 0 COMB1 -3.0815 -0.4144 0.5572 -0.00086 1.11057 -0.82824
99 2 COMB1 -3.0815 -0.4144 0.5572 -0.00086 -0.00379 0.00058
99 4 COMB1 -3.0815 -0.4144 0.5572 -0.00086 -1.11815 0.82941
99 0 COMB2 -3.0815 -0.4144 0.5572 -0.00086 1.11057 -0.82824
99 2 COMB2 -3.0815 -0.4144 0.5572 -0.00086 -0.00379 0.00058
99 4 COMB2 -3.0815 -0.4144 0.5572 -0.00086 -1.11815 0.82941
99 0 COMB3 -3.1029 -0.4184 0.5719 -0.00102 1.14015 -0.83615
99 2 COMB3 -3.1029 -0.4184 0.5719 -0.00102 -0.00358 0.00072
99 4 COMB3 -3.1029 -0.4184 0.5719 -0.00102 -1.14731 0.8376
99 0 COMB4 -3.1285 -0.4174 0.602 -0.00109 1.20078 -0.83379
99 2 COMB4 -3.1285 -0.4174 0.602 -0.00109 -0.00313 0.00094
99 4 COMB4 -3.1285 -0.4174 0.602 -0.00109 -1.20704 0.83567
99 0 COMB5 -3.1479 -0.4605 0.5697 -0.00097 1.13541 -0.92041
99 2 COMB5 -3.1479 -0.4605 0.5697 -0.00097 -0.00401 0.00068
A6 - VI
99 4 COMB5 -3.1479 -0.4605 0.5697 -0.00097 -1.14344 0.92176
99 0 COMB6 -3.1141 -0.453 0.5622 -0.00096 1.12057 -0.90553
99 2 COMB6 -3.1141 -0.453 0.5622 -0.00096 -0.00377 0.00045
99 4 COMB6 -3.1141 -0.453 0.5622 -0.00096 -1.12812 0.90643
99 0 COMB7 -3.1222 -0.4502 0.5879 -0.00094 1.17205 -0.89944
99 2 COMB7 -3.1222 -0.4502 0.5879 -0.00094 -0.0037 0.00103
99 4 COMB7 -3.1222 -0.4502 0.5879 -0.00094 -1.17945 0.9015
99 0 COMB8 -3.1015 -0.4146 0.5841 -0.00088 1.16442 -0.82833
99 2 COMB8 -3.1015 -0.4146 0.5841 -0.00088 -0.00368 0.00079
99 4 COMB8 -3.1015 -0.4146 0.5841 -0.00088 -1.17178 0.82991
99 0 COMB9 -0.2917 -0.1388 0.4115 0.0002 1.07435 -0.27606
99 2 COMB9 -0.2917 -0.1388 0.4115 0.0002 0.25128 0.00153
99 4 COMB9 -0.2917 -0.1388 0.4115 0.0002 -0.57179 0.27912
99 0 COMB10 -0.6587 -0.3975 0.589 0.00077 1.44582 -0.80166
99 2 COMB10 -0.6587 -0.3975 0.589 0.00077 0.26779 -0.0066
99 4 COMB10 -0.6587 -0.3975 0.589 0.00077 -0.91025 0.78846
99 0 COMB11 -0.4885 -0.1483 1.0293 0.00003269 2.77894 -0.28394
99 2 COMB11 -0.4885 -0.1483 1.0293 0.00003269 0.72034 0.01262
99 4 COMB11 -0.4885 -0.1483 1.0293 0.00003269 -1.33825 0.30917
99 0 COMB12 -0.6828 -0.1454 1.204 -0.00041 3.13162 -0.27742
99 2 COMB12 -0.6828 -0.1454 1.204 -0.00041 0.7236 0.01339
99 4 COMB12 -0.6828 -0.1454 1.204 -0.00041 -1.68442 0.3042
99 0 COMB13 -0.7563 -0.3908 1.0084 0.00159 2.754 -0.78646
99 2 COMB13 -0.7563 -0.3908 1.0084 0.00159 0.73729 -0.00481
99 4 COMB13 -0.7563 -0.3908 1.0084 0.00159 -1.27943 0.77683
99 0 COMB14 -0.5208 -0.4096 0.4748 -0.00077 1.21903 -0.81912
99 2 COMB14 -0.5208 -0.4096 0.4748 -0.00077 0.2694 0.000006635
99 4 COMB14 -0.5208 -0.4096 0.4748 -0.00077 -0.68023 0.81913
99 0 COMB15 -0.5172 -0.3762 0.5974 -0.00003193 1.46407 -0.76193
99 2 COMB15 -0.5172 -0.3762 0.5974 -0.00003193 0.26919 -0.00955
99 4 COMB15 -0.5172 -0.3762 0.5974 -0.00003193 -0.92569 0.74284
99 0 COMB16 -0.4181 -0.1632 0.5934 -0.00022 1.43834 -0.3267
99 2 COMB16 -0.4181 -0.1632 0.5934 -0.00022 0.25149 -0.00031
99 4 COMB16 -0.4181 -0.1632 0.5934 -0.00022 -0.93536 0.32608
99 0 COMB17 -3.4405 -0.3921 0.4783 0.0019 0.57095 -0.53815
99 2 COMB17 -3.4405 -0.3921 0.4783 0.0019 -0.3857 0.24604
99 4 COMB17 -3.4405 -0.3921 0.4783 0.0019 -1.34234 1.03022
99 0 COMB18 -2.7869 -0.3777 0.4222 0.00358 0.50163 -0.58728
99 2 COMB18 -2.7869 -0.3777 0.4222 0.00358 -0.34282 0.16811
99 4 COMB18 -2.7869 -0.3777 0.4222 0.00358 -1.18727 0.92351
99 0 COMB19 -8.3165 -0.8877 1.1215 0.00256 1.34097 -1.14946
99 2 COMB19 -8.3165 -0.8877 1.1215 0.00256 -0.90193 0.62592
99 4 COMB19 -8.3165 -0.8877 1.1215 0.00256 -3.14484 2.4013
99 0 COMB20 -8.1094 -0.886 1.1082 0.00238 1.35972 -1.14751
99 2 COMB20 -8.1094 -0.886 1.1082 0.00238 -0.85674 0.62457
99 4 COMB20 -8.1094 -0.886 1.1082 0.00238 -3.0732 2.39664
99 0 COMB21 -7.8271 -0.8694 1.0731 0.00503 1.23598 -1.19665
99 2 COMB21 -7.8271 -0.8694 1.0731 0.00503 -0.9103 0.54219
99 4 COMB21 -7.8271 -0.8694 1.0731 0.00503 -3.05658 2.28104
99 0 COMB22 -2.9973 -0.3765 0.4882 0.00143 0.58939 -0.59169
99 2 COMB22 -2.9973 -0.3765 0.4882 0.00143 -0.38709 0.16124
99 4 COMB22 -2.9973 -0.3765 0.4882 0.00143 -1.36358 0.91417
99 0 COMB23 -2.8661 -0.3831 0.4404 0.00291 0.53286 -0.57601
99 2 COMB23 -2.8661 -0.3831 0.4404 0.00291 -0.348 0.19017
99 4 COMB23 -2.8661 -0.3831 0.4404 0.00291 -1.22885 0.95634
99 0 COMB24 -3.2497 -0.3911 0.4646 0.00195 0.59593 -0.53776
99 2 COMB24 -3.2497 -0.3911 0.4646 0.00195 -0.33322 0.24443
99 4 COMB24 -3.2497 -0.3911 0.4646 0.00195 -1.26237 1.02662
99 0 ENV -0.005 -0.0058 1.204 0.00503 3.13162 -0.01231
99 2 ENV -0.005 -0.0058 1.204 0.00503 0.73729 0.62592
99 4 ENV -0.005 -0.0058 1.204 0.00503 -0.01186 2.4013
99 0 ENV -8.3165 -0.8877 0.006 -0.00109 0.01233 -1.19665
99 2 ENV -8.3165 -0.8877 0.006 -0.00109 -0.9103 -0.00955
99 4 ENV -8.3165 -0.8877 0.006 -0.00109 -3.14484 0.01092
N - Mymax
Mxmax
MOMENTOS REDUCIDOS
COL DATOS FrameStation Comb P Mx My x Mrx Mry
m Text Ton Ton-m Ton-m m. Ton-m Ton-m
A6 - I
79 0 COMB1 -44.242 -0.680 0.921
Altura de la columna = 6.50 79 0 COMB4 -58.580 -1.258 1.759 2.144 -1.258 1.759
Altura de viga superior= 0.60 79 6.5 COMB4 -58.580 2.555 -3.498 4.325 2.378 -3.256
Altura de viga inferior= 0.00 79 0 COMB5 -58.521 -1.306 1.688 2.143 -1.306 1.688
79 6.5 COMB5 -58.521 2.656 -3.350 4.323 2.471 -3.118
VALORES EXTREMO MIN -58.580 -1.306 -3.256
Ng -44.242 MAX -44.242 2.471 1.759
A6 - II
83 0 COMB1 -27.474 -2.626 3.431
Altura de la columna = 4.00 83 0 COMB4 -28.093 -4.361 5.877 2.543 -3.846 5.184
Altura de viga superior= 0.60 83 4 COMB4 -28.093 2.498 -3.398 1.465 1.987 -2.702
Altura de viga inferior= 0.60 83 0 COMB5 -28.339 -4.636 5.498 2.506 -4.081 4.840
83 4 COMB5 -28.339 2.764 -3.124 1.449 2.192 -2.478
83 0 COMB13 -55.094 -0.842 2.622 1.910 -0.710 2.211
83 4 COMB13 -55.094 0.921 -5.429 2.697 0.819 -4.825
VALORES EXTREMO MIN -55.094 -4.081 -4.825
Ng -27.474 MAX -27.474 2.192 5.184
A6 - III
87 0 COMB1 -21.151 -0.787 1.240
Altura de la columna = 4.00 87 0 COMB6 -21.406 -0.919 1.267 1.867 -0.772 1.064
Altura de viga superior= 0.60 87 4 COMB6 -21.406 1.050 -1.442 2.129 0.902 -1.239
Altura de viga inferior= 0.60 87 0 COMB12 -40.625 -0.210 5.003 1.807 -0.175 4.172
87 4 COMB12 -40.625 0.255 -5.155 2.030 0.217 -4.393
87 0 COMB13 -41.542 -0.692 4.828 1.849 -0.579 4.045
87 4 COMB13 -41.542 0.805 -4.949 2.025 0.686 -4.216
VALORES EXTREMO MIN -41.542 -0.772 -4.393
Ng -21.151 MAX -21.151 0.902 4.172
A6 - IV
91 0 COMB1 -15.044 -1.119 1.518
Altura de la columna = 4.00 91 0 COMB5 -15.391 -1.277 1.583 1.963 -1.082 1.341
Altura de viga superior= 0.60 91 4 COMB5 -15.391 1.324 -1.664 2.050 1.131 -1.421
Altura de viga inferior= 0.60 91 0 COMB12 -27.161 -0.343 5.603 1.912 -0.289 4.724
91 4 COMB12 -27.161 0.374 -5.952 2.061 0.320 -5.086
91 0 COMB13 -27.793 -1.036 5.239 1.912 -0.873 4.417
91 4 COMB13 -27.793 1.131 -5.563 2.060 0.966 -4.753
VALORES EXTREMO MIN -27.793 -1.082 -5.086
Ng -15.044 MAX -27.161 1.131 4.724
A6 - V
95 0 COMB1 -9.007 -0.707 0.995
Altura de la columna = 4.00 95 0 COMB5 -9.203 -0.792 1.022 1.948 -0.670 0.864
Altura de viga superior= 0.60 95 4 COMB5 -9.203 0.834 -1.081 2.057 0.712 -0.924
Altura de viga inferior= 0.60 95 0 COMB12 -13.757 -0.226 3.749 1.949 -0.191 3.172
95 4 COMB12 -13.757 0.238 -4.084 2.086 0.204 -3.497
95 0 COMB13 -14.095 -0.709 3.528 1.926 -0.598 2.979
95 4 COMB13 -14.095 0.763 -3.855 2.088 0.654 -3.301
VALORES EXTREMO MIN -14.095 -0.670 -3.497
Ng -9.007 MAX -13.757 0.712 3.172
A6 - VI
99 0 COMB1 -3.082 -0.828 1.111
Altura de la columna = 4.00 99 0 COMB19 -8.317 -1.149 1.341 1.295 -0.883 1.030
Altura de viga superior= 0.00 99 4 COMB19 -8.317 2.401 -3.145 2.804 2.401 -3.145
Altura de viga inferior= 0.60 99 0 COMB21 -7.827 -1.197 1.236 1.376 -0.936 0.967
99 4 COMB21 -7.827 2.281 -3.057 2.848 2.281 -3.057
Mt1
Mt2
Mr1
Mr2
xM t1
=H
M t1+M t2
⇒ x=H
M t 1+M t 2
M t1
M r 1
x−h2
=M t 1
x⇒ M r 1=
M t1
x (x−h2 )
VALORES EXTREMO MIN -8.317 -0.936 -3.145
Ng -3.082 MAX -7.827 2.401 1.030
OBS
N-Mymax
Mxmax
Mymax
Mxmax
N
Mxmax
Mymax
N
Mxmax
Mymax
N
Mxmax
Mymax
N
todo
