ejemplo 3.2 columnas de concreto reforzado

33
r d12 d2 d23 f'c 280 Kg/cm^2 3 11.5 20 28.5 fy 4200 Kg/cm^2 as1 as12 as2 as23 r 3 cm 8.46 0 5.64 0 h 40 cm 3 2 2 b 40 cm γ 0.8 εμ 0.003 0.85 Es 2039000 ρ 0.0141 εy 0.00205983 ast 22.56 cm^2 β1

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CALCULO COLUMNAS DE CONCRETO

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x-xKgmomentos positivosmomentos negativosKg*cmton*mtstonton*mtstonrd12d2d23d3cs1s12s2s23s3fs1fs12fs2fs23fs3aCfs1*as1fs12*as12fs2*as2fs23*as23fs3*as3PnCfs1*as1fs12*as12fs23*as23fs3*as3fs1*as1fs12*as12fs23*as23fs3*as3MnMnPnMnPn*Pn0,9*Mnf'c280Kg/cm^2311.52028.5370.00-106256498283.469-81846221650.7797-57435945018.0901-33025668385.4006-8615391752.71097-4200-4200-4200-4200-420000.0000000085-355320-236880-35532-94751.99999999150.0000001691604044000000-6040440.0000001690-94.7520-66.3264-66.32640fy4200Kg/cm^2as1as12as2as23as311-0.108-0.0825-0.057-0.0315-0.006-4200-4200-4200-4200-42000.858092-355320-236880-35532-86660158400.9604044000000-604044158400.91.584009-86.661.1088063-60.662-60.6621.4256081r3cm8.4605.6408.46022-0.0525-0.03975-0.027-0.01425-0.0015-4200-4200-4200-4200-3058.51.716184-355320-236880-25874.91-68910.91309923.6604044000000-439873.47474094.134.7409413-68.910913.31865891-48.237637-48.2376374.26684717h40cm322333-0.034-0.0255-0.017-0.00850-4200-4200-4200-420002.5524276-355320-2368800-34944454568.160404400000001058612.110.586121-34.9447.4102847-24.4608-24.46089.5275089b40cm44-0.02475-0.018375-0.012-0.0056250.00075-4200-4200-4200-42001529.253.432368-355320-23688012937.455-13914.545592334.460404400219936.73500001416315.13514.16315135-13.9145459.914205945-9.7401815-9.740181512.7468362150.855-0.0192-0.0141-0.009-0.00390.0012-4200-4200-4200-42002446.84.2540460-355320-23688020699.9281939.928723222.560404400351898.77600001679165.27616.791652761.93992811.7541569321.35794961.357949615.1124874840.00366-0.0155-0.01125-0.007-0.002750.0015-4200-4200-4200-42003058.55.148552-355320-23688025874.9115206.91847232.460404400439873.4700001891149.8718.911498715.2069113.2380490910.64483710.64483713.2380490910.8577-0.0128571429-0.0092142857-0.0055714286-0.00192857140.0017142857-4200-4200-4200-3932.35714285713495.42857142865.9556644-355320-23688029571.325714285726995.3257142857964364.160404400502712.53714285700002071120.6371428620.711206371426.995325714314.4978444618.89672818.89672814.49784446Es203900088-0.010875-0.0076875-0.0045-0.00131250.001875-4200-4200-4200-2676.18753823.1256.864736-355320-23688032343.637537859.63751074617.660404400549841.837500002228503.437522.28503437537.859637515.599524062526.5017462526.5017462515.59952406250.014199-0.0093333333-0.0065-0.0036666667-0.00083333330.002-4200-4200-4200-1699.166666666740787.6572828-355320-23688034499.8848107.881177992.960404400586497.9600002368534.8623.685348648.1078816.5797440233.67551633.67551616.57974402y0.00205983331010-0.0081-0.00555-0.003-0.000450.0021-4200-4200-4200-917.5542008.580920-355320-23688035532572321274490604044006040440000248257824.8257857.23217.37804640.062440.062417.378046ast22.56cm^21111-0.0070909091-0.0047727273-0.0024545455-0.00013636360.0021818182-4200-4200-4200-278.045454545542009.3589012-355320-23688035532653241364108.96040440060404400002572196.925.72196965.32418.005378345.726845.726818.0053783espirales0.85espiral0.851213-0.0055384615-0.0035769231-0.00161538460.00034615380.0023076923-4200-4200-3293.7692307692705.8076923077420011.05105196-355320-18576.858461538503553286619.14153846151522712.16040440060404400002730800.127.30800186.619141538519.115600760.633399076960.633399076919.1156007estribos0.7estribos0.81314-0.0049285714-0.0031071429-0.00128571430.00053571430.0023571429-4200-4200-2621.57142857141092.3214285714420011.9113288-355320-14785.662857142903553298502.33714285721591696.46040440060404400002799784.427.99784498.502337142919.598490868.95163668.95163619.5984908diametro1.905cm1415-0.0044-0.0027-0.0010.00070.0024-4200-4200-20391427.3420012.75121380-355320-11499.96035532109880.041653802.56040440060404400002861890.528.618905109.8800420.033233576.91602876.91602820.0332335Ag1600cm^21516-0.0039375-0.00234375-0.000750.000843750.0024375-4200-4200-1529.251720.40625420013.6129472-355320-8624.97035532120847.031709030.46040440060404400002917118.429.171184120.8470320.419828884.59292184.59292120.41982880.71617-0.0035294118-0.0020294118-0.00052941180.00097058820.0024705882-4200-4137.9705882353-1079.47058823531979.0294117647420014.45137564-355320-6088.2141176471035532131475.7858823531757380.16040440060404400002965468.129.654681131.475785882420.758276792.033050117692.033050117620.7582767Agasum1098.9010989011cm^233.14967720661718-0.0031666667-0.00175-0.00033333330.00108333330.0025-4200-3568.25-679.66666666672208.9166666667420015.3145656-355320-3833.32035532141822.681798851.66040440060404400003006939.630.069396141.8226821.048577299.27587699.27587621.0485772asum2%0.021819-0.0028421053-0.0015-0.00015789470.00118421050.0025263158-4200-3058.5-321.94736842112414.6052631579420016.15153748-355320-1815.7831578947035532151932.2168421051833444.96040440060404400003041532.930.415329151.932216842121.2907303106.3525517895106.352551789521.29073031920-0.00255-0.00127500.0012750.00255-4200-2599.72502599.725420017161840-35532000355321618401861160604044006040440000306924830.69248161.8421.484736113.288113.28821.4847362021-0.0022857143-0.00107142860.00014285710.00135714290.0025714286-4200-2184.6428571429291.28571428572767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inito0.0030.0030.0030.0030.0034200420042004200420040380800355320236880355324755520000604044-60404400000475.5520332.8864266.30912033200000000.00299999440.00299999570.0029999970.00299999830.00299999964200420042004200420040380800355320236880355324755520000604044-60404400000475.5520332.8864266.3091202026.1188318071-0.0012498072-0.00027350020.00070280690.0016791140.002655421-2548.3569222071-557.66681845681433.02328529353423.7133890437420022.2010070361211353.586983411-21559.09956187208082.2513290551035532233408.7387505941880940.50380928366504.6925518240060404400002851489.196361128.5148919636233.408738750619.9604243745163.3861171254PU180Cc313.6tonCs66.3264tonCs/Cc0.2115250.5740,25*Cc78.4tonb0.63517313241.5272347032Mox19.9604243745Moy17.4080367757solucion ecuacion iteracion biaxialla columna resite la carga aplicada

y-ymomentos positivosmomentos 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Hoja3