Story Beam Load Loc P V2 V3NIVEL1 B62 SPEC1XX 300 0 1898.97 0NIVEL1 B62 SPEC1XX 380 0 1898.97 0NIVEL1 B62 SPEC1XX 380 0 1875.07 0NIVEL1 B62 SPEC1XX 760 0 1875.07 0NIVEL1 B62 SPEC1XX 760 0 1820.53 0NIVEL1 B62 SPEC1XX 1140 0 1820.53 0NIVEL1 B62 SPEC1XX 1140 0 1735.99 0NIVEL1 B62 SPEC1XX 1520 0 1735.99 0NIVEL1 B62 SPEC1XX 1520 0 1623.61 0NIVEL1 B62 SPEC1XX 1900 0 1623.61 0NIVEL1 B62 SPEC1XX 1900 0 1513.23 0NIVEL1 B62 SPEC1XX 2280 0 1513.23 0NIVEL1 B62 SPEC1XX 2280 0 1414.28 0NIVEL1 B62 SPEC1XX 2660 0 1414.28 0NIVEL1 B62 SPEC1XX 2660 0 1327.53 0NIVEL1 B62 SPEC1XX 3040 0 1327.53 0NIVEL1 B62 SPEC1XX 3040 0 1254.45 0NIVEL1 B62 SPEC1XX 3420 0 1254.45 0NIVEL1 B62 SPEC1XX 3420 0 1190.34 0NIVEL1 B62 SPEC1XX 3800 0 1190.34 0NIVEL1 B62 SPEC1XX 3800 0 1127.76 0NIVEL1 B62 SPEC1XX 4180 0 1127.76 0NIVEL1 B62 SPEC1XX 4180 0 1065.5 0NIVEL1 B62 SPEC1XX 4560 0 1065.5 0NIVEL1 B62 SPEC1XX 4560 0 1002.92 0NIVEL1 B62 SPEC1XX 4940 0 1002.92 0NIVEL1 B62 SPEC1XX 4940 0 945.67 0NIVEL1 B62 SPEC1XX 5320 0 945.67 0NIVEL1 B62 SPEC1XX 5320 0 908.68 0NIVEL1 B62 SPEC1XX 5700 0 908.68 0NIVEL1 B62 SPEC1XX 5700 0 889.23 0NIVEL1 B62 SPEC1XX 6080 0 889.23 0NIVEL1 B62 SPEC1XX 6080 0 886.4 0NIVEL1 B62 SPEC1XX 6160 0 886.4 0NIVEL1 B62 SPEC1YY 300 0 21037.49 0NIVEL1 B62 SPEC1YY 380 0 21037.49 0NIVEL1 B62 SPEC1YY 380 0 20917.55 0NIVEL1 B62 SPEC1YY 760 0 20917.55 0NIVEL1 B62 SPEC1YY 760 0 20749.6 0NIVEL1 B62 SPEC1YY 1140 0 20749.6 0NIVEL1 B62 SPEC1YY 1140 0 20539.34 0NIVEL1 B62 SPEC1YY 1520 0 20539.34 0NIVEL1 B62 SPEC1YY 1520 0 20317.53 0NIVEL1 B62 SPEC1YY 1900 0 20317.53 0NIVEL1 B62 SPEC1YY 1900 0 20115.89 0NIVEL1 B62 SPEC1YY 2280 0 20115.89 0NIVEL1 B62 SPEC1YY 2280 0 19938.83 0NIVEL1 B62 SPEC1YY 2660 0 19938.83 0

NIVEL1 B62 SPEC1YY 2660 0 19800.32 0NIVEL1 B62 SPEC1YY 3040 0 19800.32 0NIVEL1 B62 SPEC1YY 3040 0 19725.12 0NIVEL1 B62 SPEC1YY 3420 0 19725.12 0NIVEL1 B62 SPEC1YY 3420 0 19738.64 0NIVEL1 B62 SPEC1YY 3800 0 19738.64 0NIVEL1 B62 SPEC1YY 3800 0 19820.71 0NIVEL1 B62 SPEC1YY 4180 0 19820.71 0NIVEL1 B62 SPEC1YY 4180 0 19951.15 0NIVEL1 B62 SPEC1YY 4560 0 19951.15 0NIVEL1 B62 SPEC1YY 4560 0 20119.02 0NIVEL1 B62 SPEC1YY 4940 0 20119.02 0NIVEL1 B62 SPEC1YY 4940 0 20321.41 0NIVEL1 B62 SPEC1YY 5320 0 20321.41 0NIVEL1 B62 SPEC1YY 5320 0 20524.81 0NIVEL1 B62 SPEC1YY 5700 0 20524.81 0NIVEL1 B62 SPEC1YY 5700 0 20695.02 0NIVEL1 B62 SPEC1YY 6080 0 20695.02 0NIVEL1 B62 SPEC1YY 6080 0 20821.48 0NIVEL1 B62 SPEC1YY 6160 0 20821.48 0NIVEL1 B62 ENVOLXX MAX 300 0 -58350.75 0NIVEL1 B62 ENVOLXX MAX 380 0 -56993.49 0NIVEL1 B62 ENVOLXX MAX 380 0 -55281.3 0NIVEL1 B62 ENVOLXX MAX 760 0 -48834.31 0NIVEL1 B62 ENVOLXX MAX 760 0 -47199.29 0NIVEL1 B62 ENVOLXX MAX 1140 0 -40752.31 0NIVEL1 B62 ENVOLXX MAX 1140 0 -39209.82 0NIVEL1 B62 ENVOLXX MAX 1520 0 -32762.84 0NIVEL1 B62 ENVOLXX MAX 1520 0 -31319.85 0NIVEL1 B62 ENVOLXX MAX 1900 0 -24872.86 0NIVEL1 B62 ENVOLXX MAX 1900 0 -23517.46 0NIVEL1 B62 ENVOLXX MAX 2280 0 -17070.47 0NIVEL1 B62 ENVOLXX MAX 2280 0 -15789.68 0NIVEL1 B62 ENVOLXX MAX 2660 0 -9342.7 0NIVEL1 B62 ENVOLXX MAX 2660 0 -8116 0NIVEL1 B62 ENVOLXX MAX 3040 0 -1669.01 0NIVEL1 B62 ENVOLXX MAX 3040 0 -465.7 0NIVEL1 B62 ENVOLXX MAX 3420 0 11718.75 0NIVEL1 B62 ENVOLXX MAX 3420 0 13282.28 0NIVEL1 B62 ENVOLXX MAX 3800 0 29843.99 0NIVEL1 B62 ENVOLXX MAX 3800 0 31484.83 0NIVEL1 B62 ENVOLXX MAX 4180 0 48046.54 0NIVEL1 B62 ENVOLXX MAX 4180 0 49827.92 0NIVEL1 B62 ENVOLXX MAX 4560 0 66389.63 0NIVEL1 B62 ENVOLXX MAX 4560 0 68361.15 0NIVEL1 B62 ENVOLXX MAX 4940 0 84922.86 0NIVEL1 B62 ENVOLXX MAX 4940 0 87106.95 0NIVEL1 B62 ENVOLXX MAX 5320 0 103668.66 0NIVEL1 B62 ENVOLXX MAX 5320 0 106041.84 0NIVEL1 B62 ENVOLXX MAX 5700 0 122603.55 0NIVEL1 B62 ENVOLXX MAX 5700 0 125145.83 0NIVEL1 B62 ENVOLXX MAX 6080 0 141707.54 0NIVEL1 B62 ENVOLXX MAX 6080 0 144376.99 0NIVEL1 B62 ENVOLXX MAX 6160 0 147863.66 0

NIVEL1 B62 ENVOLXX MIN 300 0 -141052.7 0NIVEL1 B62 ENVOLXX MIN 380 0 -137566.03 0NIVEL1 B62 ENVOLXX MIN 380 0 -134902.6 0NIVEL1 B62 ENVOLXX MIN 760 0 -118340.89 0NIVEL1 B62 ENVOLXX MIN 760 0 -115798.41 0NIVEL1 B62 ENVOLXX MIN 1140 0 -99236.69 0NIVEL1 B62 ENVOLXX MIN 1140 0 -96853.2 0NIVEL1 B62 ENVOLXX MIN 1520 0 -80291.49 0NIVEL1 B62 ENVOLXX MIN 1520 0 -78085.97 0NIVEL1 B62 ENVOLXX MIN 1900 0 -61524.26 0NIVEL1 B62 ENVOLXX MIN 1900 0 -59530.29 0NIVEL1 B62 ENVOLXX MIN 2280 0 -42968.57 0NIVEL1 B62 ENVOLXX MIN 2280 0 -41173.21 0NIVEL1 B62 ENVOLXX MIN 2660 0 -24611.5 0NIVEL1 B62 ENVOLXX MIN 2660 0 -22966.84 0NIVEL1 B62 ENVOLXX MIN 3040 0 -6771.63 0NIVEL1 B62 ENVOLXX MIN 3040 0 -5237.05 0NIVEL1 B62 ENVOLXX MIN 3420 0 3472.39 0NIVEL1 B62 ENVOLXX MIN 3420 0 4813.12 0NIVEL1 B62 ENVOLXX MIN 3800 0 11260.11 0NIVEL1 B62 ENVOLXX MIN 3800 0 12633.11 0NIVEL1 B62 ENVOLXX MIN 4180 0 19080.1 0NIVEL1 B62 ENVOLXX MIN 4180 0 20513.56 0NIVEL1 B62 ENVOLXX MIN 4560 0 26960.54 0NIVEL1 B62 ENVOLXX MIN 4560 0 28476.01 0NIVEL1 B62 ENVOLXX MIN 4940 0 34922.99 0NIVEL1 B62 ENVOLXX MIN 4940 0 36523.29 0NIVEL1 B62 ENVOLXX MIN 5320 0 42970.28 0NIVEL1 B62 ENVOLXX MIN 5320 0 44627.76 0NIVEL1 B62 ENVOLXX MIN 5700 0 51074.74 0NIVEL1 B62 ENVOLXX MIN 5700 0 52783.14 0NIVEL1 B62 ENVOLXX MIN 6080 0 59230.12 0NIVEL1 B62 ENVOLXX MIN 6080 0 60972.63 0NIVEL1 B62 ENVOLXX MIN 6160 0 62329.89 0NIVEL1 B62 ENVOLYY MAX 300 0 -39212.22 0NIVEL1 B62 ENVOLYY MAX 380 0 -37854.96 0NIVEL1 B62 ENVOLYY MAX 380 0 -36238.82 0NIVEL1 B62 ENVOLYY MAX 760 0 -29791.84 0NIVEL1 B62 ENVOLYY MAX 760 0 -28270.23 0NIVEL1 B62 ENVOLYY MAX 1140 0 -21823.24 0NIVEL1 B62 ENVOLYY MAX 1140 0 -20406.47 0NIVEL1 B62 ENVOLYY MAX 1520 0 -13959.49 0NIVEL1 B62 ENVOLYY MAX 1520 0 -12625.93 0NIVEL1 B62 ENVOLYY MAX 1900 0 -6178.94 0NIVEL1 B62 ENVOLYY MAX 1900 0 -4914.8 0NIVEL1 B62 ENVOLYY MAX 2280 0 1532.18 0NIVEL1 B62 ENVOLYY MAX 2280 0 2734.86 0NIVEL1 B62 ENVOLYY MAX 2660 0 9181.84 0NIVEL1 B62 ENVOLYY MAX 2660 0 10356.8 0NIVEL1 B62 ENVOLYY MAX 3040 0 16803.78 0NIVEL1 B62 ENVOLYY MAX 3040 0 18004.96 0NIVEL1 B62 ENVOLYY MAX 3420 0 29500.38 0NIVEL1 B62 ENVOLYY MAX 3420 0 30976.46 0NIVEL1 B62 ENVOLYY MAX 3800 0 44734.33 0

NIVEL1 B62 ENVOLYY MAX 3800 0 46344.08 0NIVEL1 B62 ENVOLYY MAX 4180 0 60101.95 0NIVEL1 B62 ENVOLYY MAX 4180 0 61878.31 0NIVEL1 B62 ENVOLYY MAX 4560 0 75636.18 0NIVEL1 B62 ENVOLYY MAX 4560 0 77609.79 0NIVEL1 B62 ENVOLYY MAX 4940 0 91367.67 0NIVEL1 B62 ENVOLYY MAX 4940 0 93554.21 0NIVEL1 B62 ENVOLYY MAX 5320 0 107312.08 0NIVEL1 B62 ENVOLYY MAX 5320 0 109657.65 0NIVEL1 B62 ENVOLYY MAX 5700 0 123415.52 0NIVEL1 B62 ENVOLYY MAX 5700 0 125869.01 0NIVEL1 B62 ENVOLYY MAX 6080 0 139626.88 0NIVEL1 B62 ENVOLYY MAX 6080 0 142142.56 0NIVEL1 B62 ENVOLYY MAX 6160 0 145038.95 0NIVEL1 B62 ENVOLYY MIN 300 0 -139519.8 0NIVEL1 B62 ENVOLYY MIN 380 0 -136623.4 0NIVEL1 B62 ENVOLYY MIN 380 0 -134119.55 0NIVEL1 B62 ENVOLYY MIN 760 0 -120361.68 0NIVEL1 B62 ENVOLYY MIN 760 0 -117910.15 0NIVEL1 B62 ENVOLYY MIN 1140 0 -104152.28 0NIVEL1 B62 ENVOLYY MIN 1140 0 -101790.66 0NIVEL1 B62 ENVOLYY MIN 1520 0 -88032.79 0NIVEL1 B62 ENVOLYY MIN 1520 0 -85808.06 0NIVEL1 B62 ENVOLYY MIN 1900 0 -72050.19 0NIVEL1 B62 ENVOLYY MIN 1900 0 -70023.13 0NIVEL1 B62 ENVOLYY MIN 2280 0 -56265.26 0NIVEL1 B62 ENVOLYY MIN 2280 0 -54429.91 0NIVEL1 B62 ENVOLYY MIN 2660 0 -40672.03 0NIVEL1 B62 ENVOLYY MIN 2660 0 -39002.3 0NIVEL1 B62 ENVOLYY MIN 3040 0 -25244.42 0NIVEL1 B62 ENVOLYY MIN 3040 0 -23707.72 0NIVEL1 B62 ENVOLYY MIN 3420 0 -14998.28 0NIVEL1 B62 ENVOLYY MIN 3420 0 -13735.17 0NIVEL1 B62 ENVOLYY MIN 3800 0 -7288.19 0NIVEL1 B62 ENVOLYY MIN 3800 0 -6059.83 0NIVEL1 B62 ENVOLYY MIN 4180 0 387.15 0NIVEL1 B62 ENVOLYY MIN 4180 0 1627.91 0NIVEL1 B62 ENVOLYY MIN 4560 0 8074.89 0NIVEL1 B62 ENVOLYY MIN 4560 0 9359.91 0NIVEL1 B62 ENVOLYY MIN 4940 0 15806.89 0NIVEL1 B62 ENVOLYY MIN 4940 0 17147.55 0NIVEL1 B62 ENVOLYY MIN 5320 0 23594.54 0NIVEL1 B62 ENVOLYY MIN 5320 0 25011.62 0NIVEL1 B62 ENVOLYY MIN 5700 0 31458.61 0NIVEL1 B62 ENVOLYY MIN 5700 0 32977.35 0NIVEL1 B62 ENVOLYY MIN 6080 0 39424.33 0NIVEL1 B62 ENVOLYY MIN 6080 0 41037.55 0NIVEL1 B62 ENVOLYY MIN 6160 0 42394.81 0

V2Loc X +

T M2 M3 UNIDADES UTILIZADAS 300 011159843.747 0 4313285.454 N-mm 300 1898.9711159843.747 0 4161629.433 380 1898.978917069.901 0 4161629.433 380 1875.078917069.901 0 3450540.081 760 1875.077058067.865 0 3450540.081 760 1820.537058067.865 0 2760536.943 1140 1820.535516343.907 0 2760536.943 1140 1735.995516343.907 0 2103070.171 1520 1735.994236976.514 0 2103070.171 1520 1623.614236976.514 0 1488842.762 1900 1623.613103987.804 0 1488842.762 1900 1513.233103987.804 0 918085.475 2280 1513.232052656.698 0 918085.475 2280 1414.282052656.698 0 392834.278 2660 1414.281044622.381 0 392834.278 2660 1327.531044622.381 0 177193.629 3040 1327.5345437.055 0 177193.629 3040 1254.4545437.055 0 617188.206 3420 11718.75962143.466 0 617188.206 3420 13282.28962143.466 0 1063317.771 3800 29843.991979760.127 0 1063317.771 3800 31484.831979760.127 0 1488541.659 4180 48046.543047026.504 0 1488541.659 4180 49827.923047026.504 0 1890725.007 4560 66389.634202261.371 0 1890725.007 4560 68361.154202261.371 0 2269068.581 4940 84922.865505132.22 0 2269068.581 4940 87106.955505132.22 0 2625302.075 5320 103668.667057183.15 0 2625302.075 5320 106041.847057183.15 0 2967278.229 5700 122603.558914044.698 0 2967278.229 5700 125145.838914044.698 0 3301931.28 6080 141707.5411142792.953 0 3301931.28 6080 144376.9911142792.953 0 3372191.812 6160 147863.662309025.285 0 59429810.97 6160 02309025.285 0 57746823.571835190.365 0 57746823.571835190.365 0 49798214.16 limites para el momento reversible 1447699.691 0 49798214.151447699.691 0 41913430.611131900.262 0 41913430.61 loc1131900.262 0 34108549.23 300875903.165 0 34108549.23 6160875903.165 0 26387955.555657141.228 0 26387955.555657141.228 0 18743995.479465515.743 0 18743995.479465515.743 0 11167369.302

309037.538 0 11167369.301309037.538 0 3643771.726239056.54 0 3643771.726239056.54 0 3853186.559318308.232 0 3853186.559318308.232 0 11353382.327477865.721 0 11353382.327477865.721 0 18885128.895670018.513 0 18885128.895670018.513 0 26466493.978888873.588 0 26466493.979888873.588 0 34111663.621144155.885 0 34111663.621144155.885 0 41833744.971454681.239 0 41833744.971454681.239 0 49633124.321831047.009 0 49633124.321831047.009 0 57497187.042288149.874 0 57497187.042288149.874 0 59162896.8211064379.861 0 -42742046.911064379.861 0 -38128016.58837635.66 0 -38128016.58837635.66 0 -18344613.277001494.424 0 -18344613.277001494.424 0 -1632010.6615491482.559 0 -1632010.6615491482.559 0 23105556.7954244900.976 0 23105556.7974244900.976 0 49631501.093145042.908 0 49631501.093145042.908 0 69106284.452146255.214 0 69106284.452146255.214 0 81605379.881167239.609 0 81605379.881167239.609 0 87186055.1177558.905 0 87186055.1177558.905 0 85879654.681092489.075 0 85879654.681092489.075 0 77685664.882096676.981 0 77685664.882096676.981 0 62574704.483140259.867 0 62574704.483140259.867 0 40493368.684261589.043 0 40493368.684261589.043 0 11809071.4395525616.104 0 11809071.4385525616.104 0 -8022843.877049630.129 0 -8022843.877049630.129 0 -26209640.78888192.739 0 -26209640.78888192.739 0 -4749541411111681.383 0 -4749541411111681.383 0 -52428166.5

-11400383.9 0 -110669615-11400383.9 0 -99524865.8-9125846.51 0 -99524865.8-9125846.51 0 -51408601.7-7220339.1 0 -51408601.7-7220339.1 0 -11595915.87-5613659.83 0 -11595915.87-5613659.83 0 7838863.321-4263967.19 0 7838863.321-4263967.19 0 19746676.761-3063992.45 0 19746676.761-3063992.45 0 28604168.491-1988305.585 0 28604168.491-1988305.585 0 34441999.77-968471.071 0 34441999.77-968471.071 0 37021253.232181.667 0 37021253.232181.667 0 36009989.07

-889468.387 0 36009989.07-889468.387 0 32057615.5-1919576.315 0 32057615.5-1919576.315 0 25178332.253-3006183.083 0 25178332.253-3006183.083 0 15351180.232-4187669.28 0 15351180.231-4187669.28 0 2545918.02-5520057.31 0 2545918.019-5520057.31 0 -24877957.75-7093743.7 0 -24877957.75-7093743.7 0 -68320583.3-8965086.38 0 -68320583.3-8965086.38 0 -119022725.1-11199687.85 0 -119022725.1-11199687.85 0 -130712351.22213561.399 0 12374478.6132213561.399 0 15457177.6721755756.124 0 15457177.6721755756.124 0 28003060.7991391126.25 0 28003060.81391126.25 0 375208831107038.915 0 375208831107038.915 0 53534677.64883827.627 0 53534677.64883827.627 0 68086490.55698196.332 0 68086490.55698196.332 0 76793286.49559114.259 0 76793286.49559114.259 0 79709274.62431654.765 0 79709274.62431654.765 0 76868431.56371178.391 0 76868431.56371178.391 0 75977240.8448653.841 0 75977240.8448653.841 0 76593070.54

594782.575 0 76593070.54594782.575 0 71431939.52763251.877 0 71431939.52763251.877 0 60466986.94948201.259 0 60466986.94948201.259 0 43651666.481164639.769 0 43651666.481164639.769 0 31185599.0281447128.218 0 31185599.0281447128.218 0 20456205.3921805195.05 0 20456205.3921805195.05 0 6699841.7252257038.304 0 6699841.7242257038.304 0 3362538.507-2549565.436 0 -152337697.6-2549565.436 0 -141291981.3-2043966.973 0 -141291981.3-2043966.973 0 -92940605.9-1609970.925 0 -92940605.9-1609970.925 0 -50748809.5-1229216.19 0 -50748809.5-1229216.19 0 -24166615.74-902893.837 0 -24166615.74-902893.837 0 -5152436.03-617145.874 0 -5152436.03-617145.874 0 10778258.486-401164.63 0 10778258.487-401164.63 0 23667464.748-232886.228 0 23667464.749-232886.228 0 33554675.11-161437.818 0 33554675.11-161437.818 0 32773990.71-245633.153 0 32773990.71-245633.153 0 21767550.939-417681.909 0 21767550.939-417681.909 0 7781745.017-629175.093 0 7781745.017-629175.093 0 -9224588.74-874281.501 0 -9224588.74-874281.501 0 -29296677.02-1159080.98 0 -29296677.02-1159080.98 0 -62736200.7-1491241.785 0 -62736200.7-1491241.785 0 -107020053-1882088.693 0 -107020053-1882088.693 0 -157464226.4-2345044.769 0 -157464226.4-2345044.769 0 -168951478.2

V2 V2 V2 V2 M3 M3 M3X - Y + Y - max X + X - Y +

0 0 0 0 0 0 0-141052.7 21037.49 -139519.8 -139519.8 4313285.454 -110669615 59429810.97-137566.03 21037.49 -136623.4 -136623.4 4161629.433 -99524865.8 57746823.57-134902.6 20917.55 -134119.55 -134119.55 4161629.433 -99524865.8 57746823.57-118340.89 20917.55 -120361.68 -120361.68 3450540.081 -51408601.7 49798214.16-115798.41 20749.6 -117910.15 -117910.15 3450540.081 -51408601.7 49798214.15-99236.69 20749.6 -104152.28 -104152.28 2760536.943 -11595915.87 41913430.61-96853.2 20539.34 -101790.66 -101790.66 2760536.943 -11595915.87 41913430.61

-80291.49 20539.34 -88032.79 -88032.79 23105556.795 2103070.171 53534677.64-78085.97 20317.53 -85808.06 -85808.06 23105556.797 2103070.171 53534677.64-61524.26 20317.53 -72050.19 -72050.19 49631501.09 1488842.762 68086490.55-59530.29 20115.89 -70023.13 -70023.13 49631501.09 1488842.762 68086490.55-42968.57 20115.89 -56265.26 -56265.26 69106284.45 918085.475 76793286.49-41173.21 19938.83 -54429.91 -54429.91 69106284.45 918085.475 76793286.49-24611.5 19938.83 -40672.03 -40672.03 81605379.88 392834.278 79709274.62

-22966.84 19800.32 -39002.3 -39002.3 81605379.88 392834.278 79709274.62-6771.63 19800.32 -25244.42 -25244.42 87186055.1 177193.629 76868431.56-5237.05 19725.12 -23707.72 -23707.72 87186055.1 177193.629 76868431.561254.45 29500.38 -14998.28 29500.38 85879654.68 617188.206 75977240.81190.34 30976.46 -13735.17 30976.46 85879654.68 617188.206 75977240.81190.34 44734.33 -7288.19 44734.33 77685664.88 1063317.771 76593070.541127.76 46344.08 -6059.83 46344.08 77685664.88 1063317.771 76593070.541127.76 60101.95 387.15 60101.95 62574704.48 1488541.659 71431939.521065.5 61878.31 1627.91 61878.31 62574704.48 1488541.659 71431939.521065.5 75636.18 8074.89 75636.18 40493368.68 1890725.007 60466986.94

1002.92 77609.79 9359.91 77609.79 40493368.68 1890725.007 60466986.941002.92 91367.67 15806.89 91367.67 11809071.439 2269068.581 43651666.48945.67 93554.21 17147.55 93554.21 11809071.438 2269068.581 43651666.48945.67 107312.08 20321.41 107312.08 2625302.075 -24877957.75 41833744.97908.68 109657.65 20524.81 109657.65 2625302.075 -24877957.75 41833744.97908.68 123415.52 20524.81 123415.52 2967278.229 -68320583.3 49633124.32889.23 125869.01 20695.02 125869.01 2967278.229 -68320583.3 49633124.32889.23 139626.88 20695.02 139626.88 3301931.28 -119022725.1 57497187.04886.4 142142.56 20821.48 142142.56 3301931.28 -119022725.1 57497187.04886.4 145038.95 20821.48 145038.95 3372191.812 -130712351.2 59162896.82

0 0 0 0 0 0 0

limites para el momento reversible según NTP E-060M+ ext

limite M+: Limite M-:1/2*Mmax 1/4*M-max 1/4*M+max

84475739.1 42237869.55 -42237869.5584475739.1 42237869.55 -42237869.55

M3 M3 M3+ MAXY - max Reversible

0 0 0-152337697.6 -152337697.6 84475739.1 -152337697.6-141291981.3 -141291981.3 84475739.1-141291981.3 -141291981.3 84475739.1-92940605.9 -92940605.9 84475739.1-92940605.9 -92940605.9 84475739.1-50748809.5 -50748809.5 84475739.1-50748809.5 -50748809.5 84475739.1-24166615.74 53534677.64 84475739.1-24166615.74 53534677.64 84475739.1-5152436.03 68086490.55 84475739.1-5152436.03 68086490.55 84475739.1

10778258.486 76793286.49 84475739.110778258.487 76793286.49 84475739.111167369.302 81605379.88 84475739.111167369.301 81605379.88 84475739.13643771.726 87186055.1 87186055.13643771.726 87186055.1 87186055.13853186.559 85879654.68 85879654.683853186.559 85879654.68 85879654.6811353382.327 77685664.88 84475739.111353382.327 77685664.88 84475739.17781745.017 71431939.52 84475739.17781745.017 71431939.52 84475739.1-9224588.74 60466986.94 84475739.1-9224588.74 60466986.94 84475739.1-29296677.02 43651666.48 84475739.1-29296677.02 43651666.48 84475739.1-62736200.7 -62736200.7 84475739.1-62736200.7 -62736200.7 84475739.1-107020053 -107020053 84475739.1-107020053 -107020053 84475739.1

-157464226.4 -157464226.4 84475739.1-157464226.4 -157464226.4 84475739.1-168951478.2 -168951478.2 84475739.1 -168951478.2

0 0

MIN

59429810.97

59162896.82

MEMORIA DE CALCULO DISEÑADO: ING.I.J.D.L.C.M.

PROYECTO: PROY. No: EST.EIP.H.007

REVISION: rev. 002

DISEÑO DE VIGA FECHA: 7-Apr-14

DATOS : f 'c = 21 Mpa εcu: 0.003 2300 kg/m3 Es: 200000 Mpafy = 420 Mpa εs: 0.0021 Ec: 21736 Mpa

DATOS DE LA ESTRUCTURA:NIVEL VIGA EJES DE LA VIGA EJE INICIO EJE FINAL LONGITUD NOMBRE ADICIONAL

1 B62 F-F 2-2 4-4 6460 mm V B62 N1

DATOS DE LA SECCION DE SISEÑOel recumbrimiento para la viga sera → re1: 25 mm

Diametro del refuerzo por corte → dbe: 10 mm 0.90Diametro del refuerzo a flexion → db: 19 mm 0.85

asumiendo que : Altura de la viga → h: 550.00 mmbase de la viga → bw: 300.00 mmEl peralte sera → d: 505.50 mm

RESULTADSO DEL ANALISIS ESTRUCCTURAL SE TIENES LOS DIAGRAMA DE FUERZA CORTANTE Y MOMENTO FLECTOR

DISEÑO POR FLEXION

0.02125 0.0133 Para zona sismica0.0024 según el E-060 art. 10.5.2

cuantia min ρ = 0.25*√(f'c) / fy > 1.4 / fy = 0.0033 según el aci 318-08 art.10.5.2Calculo del Acero del Refuerzo por flexion

loc Mu Mu reversible a

300 1.52E+08 8.45E+07 60.83 848.29 mm2 0.0056 456.95 mm2 505.50 mm2 848.2940 2014.10380 1.41E+08 8.45E+07 56.17 782.94 mm2 0.0052 456.95 mm2 505.50 mm2 782.9434 2014.10380 1.41E+08 8.45E+07 56.17 782.94 mm2 0.0052 456.95 mm2 505.50 mm2 782.9434 2014.10760 9.29E+07 8.45E+07 36.26 504.49 mm2 0.0033 456.95 mm2 505.50 mm2 505.5000 2014.10760 9.29E+07 8.45E+07 36.26 504.49 mm2 0.0033 456.95 mm2 505.50 mm2 505.5000 2014.101140 5.07E+07 8.45E+07 19.49 270.81 mm2 0.0018 456.95 mm2 505.50 mm2 505.5000 2014.101140 5.07E+07 8.45E+07 19.49 270.81 mm2 0.0018 456.95 mm2 505.50 mm2 505.5000 2014.101520 5.35E+07 8.45E+07 20.58 285.99 mm2 0.0019 456.95 mm2 505.50 mm2 505.5000 2014.101520 5.35E+07 8.45E+07 20.58 285.99 mm2 0.0019 456.95 mm2 505.50 mm2 505.5000 2014.101900 6.81E+07 8.45E+07 26.32 365.85 mm2 0.0024 456.95 mm2 505.50 mm2 505.5000 2014.101900 6.81E+07 8.45E+07 26.32 365.85 mm2 0.0024 456.95 mm2 505.50 mm2 505.5000 2014.102280 7.68E+07 8.45E+07 29.78 414.09 mm2 0.0027 456.95 mm2 505.50 mm2 505.5000 2014.102280 7.68E+07 8.45E+07 29.78 414.09 mm2 0.0027 456.95 mm2 505.50 mm2 505.5000 2014.102660 8.16E+07 8.45E+07 31.70 440.90 mm2 0.0029 456.95 mm2 505.50 mm2 505.5000 2014.102660 8.16E+07 8.45E+07 31.70 440.90 mm2 0.0029 456.95 mm2 505.50 mm2 505.5000 2014.103040 8.72E+07 8.72E+07 33.94 472.13 mm2 0.0031 472.13 mm2 505.50 mm2 505.5000 2014.103040 8.72E+07 8.72E+07 33.94 472.13 mm2 0.0031 472.13 mm2 505.50 mm2 505.5000 2014.103420 8.59E+07 8.59E+07 33.41 464.81 mm2 0.0031 464.81 mm2 505.50 mm2 505.5000 2014.103420 8.59E+07 8.59E+07 33.41 464.81 mm2 0.0031 464.81 mm2 505.50 mm2 505.5000 2014.103800 7.77E+07 8.45E+07 30.13 419.05 mm2 0.0028 456.95 mm2 505.50 mm2 505.5000 2014.103800 7.77E+07 8.45E+07 30.13 419.05 mm2 0.0028 456.95 mm2 505.50 mm2 505.5000 2014.104180 7.14E+07 8.45E+07 27.64 384.34 mm2 0.0025 456.95 mm2 505.50 mm2 505.5000 2014.104180 7.14E+07 8.45E+07 27.64 384.34 mm2 0.0025 456.95 mm2 505.50 mm2 505.5000 2014.104560 6.05E+07 8.45E+07 23.31 323.92 mm2 0.0021 456.95 mm2 505.50 mm2 505.5000 2014.104560 6.05E+07 8.45E+07 23.31 323.92 mm2 0.0021 456.95 mm2 505.50 mm2 505.5000 2014.104940 4.37E+07 8.45E+07 16.72 232.29 mm2 0.0015 456.95 mm2 505.50 mm2 505.5000 2014.104940 4.37E+07 8.45E+07 16.72 232.29 mm2 0.0015 456.95 mm2 505.50 mm2 505.5000 2014.105320 6.27E+07 8.45E+07 24.20 336.38 mm2 0.0022 456.95 mm2 505.50 mm2 505.5000 2014.105320 6.27E+07 8.45E+07 24.20 336.38 mm2 0.0022 456.95 mm2 505.50 mm2 505.5000 2014.105700 1.07E+08 8.45E+07 41.98 584.34 mm2 0.0039 456.95 mm2 505.50 mm2 584.3441 2014.105700 1.07E+08 8.45E+07 41.98 584.34 mm2 0.0039 456.95 mm2 505.50 mm2 584.3441 2014.106080 1.57E+08 8.45E+07 63.01 878.86 mm2 0.0058 456.95 mm2 505.50 mm2 878.8569 2014.106080 1.57E+08 8.45E+07 63.01 878.86 mm2 0.0058 456.95 mm2 505.50 mm2 878.8569 2014.106160 1.69E+08 8.45E+07 67.93 947.89 mm2 0.0063 456.95 mm2 505.50 mm2 947.8896 2014.10

SECCION CRITICAS DISEÑADAS

MEJORAMIENTO DE LOS SERVICIOS EDUCATIVOS DE LA I.E. 20372 – PICHUPAMPA, DISTRITO DE LEONCIO PRADO, PROVINCIA DE HUAURA - LIMA

PU C

El factor de reducción de resistencia φFlexión φf

Cortante y torsión φc:

Cuantia balanceada rb= cuantia max r=0.625*rb=cuantia min r = 0.22*√(f'c) / fy =

As 1flexion ρcal 1 A's

comprensionAsmin (mm2)

Asflexion (mm2)

Asmax (mm2)

CONSULTOR:ING. ITALO J. DE LA CRUZ MARSANO

0 1000 2000 3000 4000 5000 6000 7000

-2.00E+05

-1.50E+05

-1.00E+05

-5.00E+04

0.00E+00

5.00E+04

1.00E+05

1.50E+05

2.00E+05

ENVOLVENTE DE FUERZA CORTANTE

V2 X + V2 X - V2 Y + V2 Y - V2 max

0 1000 2000 3000 4000 5000 6000 7000

-2.00E+08

-1.50E+08

-1.00E+08

-5.00E+07

0.00E+00

5.00E+07

1.00E+08

1.50E+08

ENVOLVENTE DE MOMENTO FLECTOR

M3 X + M3 X - M3 Y +

M3 Y - M3 max M+ ext 1/2*Mmax

limite M+: 1/4*M-max Limite M-: 1/4*M+max

MEMORIA DE CALCULO DISEÑADO: ING.I.J.D.L.C.M.

PROYECTO: PROY. No: EST.EIP.H.007

REVISION: rev. 002

DISEÑO DE VIGA FECHA: 7-Apr-14

MEJORAMIENTO DE LOS SERVICIOS EDUCATIVOS DE LA I.E. 20372 – PICHUPAMPA, DISTRITO DE LEONCIO PRADO, PROVINCIA DE HUAURA - LIMA

CONSULTOR:ING. ITALO J. DE LA CRUZ MARSANO

SECCION 1-1El Acero Superior

Donde: # de Capa db: cantidad de barras848.29 mm2 Capa : 1 19 mm 3 varillas852.00 mm2 Capa : 1 13 mm456.95 mm2 Capa : 2 16 mm527.00 mm2 separacion de capas : 75 mm

As min 505.50 mm2 Separado entre db: 67 mmcuantia de acero colocada sera: Acero superior : 3 Ø 19mm

0.00909 El Acero Inferior # de Capa db: cantidad de barras

Se cumple, ρcolocada < 0.625 * ( ρb + ρ' ) Capa : 1 16 mm 2 varillasCapa : 1 13 mm 1 varillasCapa : 2 13 mm

Separacion de capas : 75 mmSeparado entre db: 100 mm

Acero Inferior : 2 Ø 16mm + 1 Ø 13mm

SECCION 2-2El Acero Superior

Donde: # de Capa db: cantidad de barras505.50 mm2 Capa : 1 19 mm 2 varillas568.00 mm2 Capa : 1 13 mm505.50 mm2 Capa : 2 16 mm527.00 mm2 separacion de capas : 75 mm

As min 505.50 mm2 Separado entre db: 184 mmcuantia de acero colocada sera: Acero superior : 2 Ø 19mm

0.00722 El Acero Inferior # de Capa db: cantidad de barras

Se cumple, ρcolocada < 0.625 * ( ρb + ρ' ) Capa : 1 16 mm 2 varillasCapa : 1 13 mm 1 varillasCapa : 2 13 mm

Separacion de capas : 75 mmSeparado entre db: 173 mm

Acero Inferior : 2 Ø 16mm + 1 Ø 13mm

SECCION 3-3El Acero Superior

Donde: # de Capa db: cantidad de barras947.89 mm2 Capa : 1 19 mm 2 varillas1078.00 mm2 Capa : 1 25 mm 1 varillas456.95 mm2 Capa : 2 16 mm527.00 mm2 separacion de capas : 75 mm

As min 505.50 mm2 Separado entre db: 78 mmcuantia de acero colocada sera: Acero superior : 2 Ø 19mm + 1 Ø 25mm

0.01058 El Acero Inferior # de Capa db: cantidad de barras

Se cumple, ρcolocada < 0.625 * ( ρb + ρ' ) Capa : 1 16 mm 2 varillasCapa : 1 13 mm 1 varillasCapa : 2 13 mm

Separacion de capas : 75 mmSeparado entre db: 173 mm

Acero Inferior : 2 Ø 16mm + 1 Ø 13mm

DISEÑO POR CORTE

Para la Zona de Confinamiento : El centro de la luz de la viga : 3230 mm

La zona tendra un longitud de confinamiento de 2 veces el peralte : 1011mmEl primer estribo debera estar espaciado S < 50mm

Donde el espaciamiento debe tener la siguiente consideraciones : S < d/4 < 8db < 24dbe < 300mm → S < 126.375 < 152 < 240 < 300mm

loc Vu Vs = ( Vu / Ø - Vc ) Calculando la capacidad de resistencia al corte del concreto 300 -1.40E+05 4.60E+04 refuerzo por corte Vc : 0.17 * raiz(f'c) * bw * d : 118141 N380 -1.34E+05 3.96E+04 refuerzo por corte ØVc : Ø * 0.17 * raiz(f'c) * bw * d : 100420 N760 -1.18E+05 2.06E+04 refuerzo por corte 1140 -1.02E+05 1.61E+03 refuerzo por corte Para la Zona de No Confinamiento 1520 -8.58E+04 -1.72E+04 Colocar Asmin El espaciamiento maximo sera S < d/2 → S < 252.75 mm , Vs max : 52492.97 N1900 -7.00E+04 -3.58E+04 Colocar Asmin2280 -5.44E+04 -5.41E+04 Colocar Asmin El espaciamiento requerido por fuerza cortante: S = Av * Fyt * d / Vs2660 -3.90E+04 -7.23E+04 Colocar Asmin dbe: 10 mm 142.00 mm2 → S = 574 mm3040 -2.37E+04 -9.02E+04 Colocar Asmin Se colocara Refuerzo por corte a S: → S = 250 mm3420 2.95E+04 -8.34E+04 Colocar Asmin3800 4.47E+04 -6.55E+04 Colocar Asmin Zona De confinamiento No Confinamiento4180 6.01E+04 -4.74E+04 Colocar Asmin 2d 1311 mm4560 7.56E+04 -2.92E+04 Colocar Asmin d 805.50 mm4940 9.14E+04 -1.06E+04 Colocar Asmin # de Estribos 1 5 5 2 55320 1.07E+05 8.11E+03 refuerzo por corte S 50 mm 100 mm 150 mm 200 mm 250 mm5700 1.23E+05 2.71E+04 refuerzo por corte Progresiva 350 mm 850 mm 1600 mm 2000 mm 3250 mm6080 1.40E+05 4.61E+04 refuerzo por corte VS 6.03E+05 3.01E+05 2.01E+05 1.51E+05 1.21E+056160 1.45E+05 5.25E+04 refuerzo por corte Vu -6.13E+05 -3.57E+05 -2.71E+05 -2.29E+05 -2.03E+05

ESQUEMA DE LA DISTRIBUCION DEL ACERO DE REFUERZO

VIGA ( V B62 N1 )

As calculado sup

As- colocado:As calculado inf

As+ colocado:

cuantia rcolocada=

As calculado sup

As+ colocado:As calculado inf

As- colocado:

cuantia rcolocada=

As calculado sup

As- colocado:As calculado inf

As+ colocado:

cuantia rcolocada=

condicionøVc > Vu

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MEMORIA DE CALCULO DISEÑADO: ING.I.J.D.L.C.M.

PROYECTO: PROY. No: EST.EIP.H.007

REVISION: rev. 002

DISEÑO DE VIGA FECHA: 7-Apr-14

MEJORAMIENTO DE LOS SERVICIOS EDUCATIVOS DE LA I.E. 20372 – PICHUPAMPA, DISTRITO DE LEONCIO PRADO, PROVINCIA DE HUAURA - LIMA

CONSULTOR:ING. ITALO J. DE LA CRUZ MARSANO

SECCION 1-1 SECCION 2-2 SECCION 3-3

3 Ø 19mm 2 Ø 19mm 2 Ø 19mm + 1 Ø 25mm 2 Ø 16mm + 1 Ø 13mm 2 Ø 16mm + 1 Ø 13mm 2 Ø 16mm + 1 Ø 13mm

La distribucion de estribos quedara de la siguiente forma :

10 mm 1 @ 50 + 5 @ 100 + 5 @ 150 + 2 @ 200 + resto @ 250

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