04 Diseño de Columna

PrePREDIMENCIONAMIENTO DE COLUNNA1.0ESTRUCTURACION EN PLANTA Y ELEVACIONPREDIMENSIONAMIENTOA. ESTRUCTURACION EN PLANTAB m.H m.VP0.250.50VALORES DE LOS COEFICIENTES " K"EVS0.250.40PISOLUZArea tributariaTIPO DE COLUNMAC4C2C2C2C4por pisoC1C2C3C4C10.400.40ANTEPENULTIMO4160.00130.00250.00220.0044C20.250.35PISO6360.00110.0020.00160.0028C30.250.258640.00110.00170.00150.0023DC40.250.254160.00110.00140.00140.0021C3C1C1C1C3SEGUNDO PISO6360.00120.00140.00140.0015LOSA ALIG.0.208640.00120.00140.00140.00154.3CC3C1C1C1C33.8BC3C1C1C1C34AC4C2C2C2C45.353.8512345Calculo de area trubutaria para la columna C1Atri=21.3725Analizando el antepenultimo pisoAc=769.41b=30t3=27.7382407517cmh=30Analizando el segundo pisoAc=1025.88b=35t2=32.0293615297cmh=35Analizando el primer pisot1=39.0293615297cmb=40h=40las seccciones de las columnas ser:primer piso40X40.00040x40segundo piso35X35.00tercer y30X30.00cuartoElementoprimer pisosegundo pisotercer pisocuarto pisototallosa aligerada451560206020602022575viga principal1987.51987.51987.51987.57950viga secundaria1032103210323096columna15841080108010804824acabado227922792279227991160.2977190476sobrecarga113953418.53418.53418.521650.5muros75605670567056702457093781.5B. ESTRUCTURACION EN ELEVACION0.200.400.502.402.202.62.100.200.400.502.402.202.62.100.200.400.502.402.202.62.100.200.400.502.782.732.832.9751111HECHO POR : EST. ING CIVIL HOLGUN VARGAS AUGUSTO

PESTIMACION DE CUANTIA DE ACERO PARA COLUMNASColumna:C101Nivel:1HECHO POR : EST. ING CIVIL UNA-PUNO BORIS CHIQUE112345678910Datos:MnPnMnPnMnPnMnPnMnPnMnPnMnPnMnPnMnPnMnPn0.0100.0100.0200.0200.0300.0300.0400.0400.0500.0500.0600.0600.0700.0700.0800.0800.0900.0900.1000.100b=40cm2.30-55.44685179542.30-122.88890359072.30-190.33095538612.30-257.77300718152.30-325.21505897692.30-392.65711077222.30-460.09916256762.30-527.5412143632.30-594.98326615832.30-662.4253179537h=40cm6.85-27.08816077029.30-78.166721540411.76-129.245282310614.21-180.323843080816.67-231.40240385119.12-282.480964621121.58-333.559525391324.03-384.638086161526.49-435.716646931728.94-486.7952077019r=5cm10.66-2.348808881415.02-40.683217762819.39-79.017626644323.75-117.352035525728.12-155.686444407132.49-194.020853288536.85-232.355262169941.22-270.689671051445.59-309.024079932849.95-347.358488814213.3116.01846706318.63-15.943865874123.95-47.906198811129.27-79.868531748134.59-111.830864685239.92-143.793197622245.24-175.755530559250.56-207.717863496355.88-239.680196433361.20-271.6425293704f'c=210Kg/cm215.3731.836912629621.273.697825259227.16-24.441262111233.06-52.580349481638.95-80.71943685244.85-108.858524222450.74-136.997611592856.64-165.136698963262.54-193.275786333668.43-221.414873704fy=4200Kg/cm217.0450.000282143823.3228.029364287529.606.058446431335.88-15.91247142542.16-37.883389281248.43-59.854307137454.71-81.825224993760.99-103.796142849967.27-125.767060706273.54-147.7379785624Es=2000000Kg/cm218.4171.098447778624.9658.230495557231.5145.362543335838.0632.494591114444.6119.62663889351.166.758686671657.71-6.109265549864.26-18.977217771270.81-31.845169992677.36-44.713122214f=0.7Columnas Con Estribos19.4989.844407093426.2383.727214186832.9877.610021280239.7271.492828373646.4665.37563546753.2159.258442560359.9553.141249653766.7047.024056747173.4440.906863840580.1934.789670933920.17106.08765772326.92104.21851544633.66102.349373168940.41100.480230891947.1598.611088614953.9096.741946337960.6494.872804060967.3893.003661783874.1391.134519506880.8789.2653772298Momentos De Diseo20.50122.551806985327.08125.151613970633.67127.751420955940.25130.351227941246.83132.951034926553.42135.550841911960.00138.150648897266.58140.750455882573.17143.350262867879.75145.950069853120.05142.193498118625.90152.439796237131.76162.686094355737.61172.932392474343.47183.178690592949.32193.424988711455.17203.6712868361.03213.917584948666.88224.163883067172.73234.4101811857Pu=93.7815Tn19.52160.56077406324.77177.179148125930.02193.797522188935.26210.415896251840.51227.034270314845.75243.652644377751.00260.271018440756.24276.889392503661.49293.507766566666.73310.1261406296Mu=14Tn-m18.89177.947730631323.62199.957861262628.35221.967991893833.08243.978122525137.81265.988253156442.54287.998383787747.27310.00851441952.01332.018645050356.74354.028775681561.47376.038906312818.13194.564436261322.42221.196072522626.71247.827708783831.00274.459345045135.29301.090981306439.58327.722617567743.87354.354253828948.16380.985890090252.44407.617526351556.73434.2491626128Mn=2017.22210.564941140621.13241.201882281225.04271.838823421828.94302.475764562432.85333.11270570336.76363.749646843640.67394.386587984244.57425.023529124848.48455.660470265452.39486.297411406Pn=133.973571428616.16226.0647829119.74260.2063658223.31294.3479487326.88328.489531640130.45362.631114550134.03396.772697460137.60430.914280370141.17465.055863280144.75499.197446190148.32533.339029100214.94241.15231388318.22278.386227766121.50315.620141649124.77352.854055532128.05390.087969415131.33427.321883298234.61464.555797181237.89501.789711064241.16539.023624947244.44576.2575388303Cuantia Asumida:13.55255.896252525716.57295.878905051419.58335.861557577122.60375.844210102825.61415.826862628528.63455.809515154231.64495.792167679934.66535.774820205637.67575.757472731340.69615.74012525711.99270.350850258614.77312.792900517217.55355.234950775920.33397.677001034523.11440.119051293125.89482.561101551728.67525.003151810431.45567.44520206934.23609.887252327637.01652.3293025862r =0.01110.25284.559508218212.82329.215016436515.38373.870524654817.95418.52603287320.52463.181541091323.09507.837049309525.66552.492557527828.23597.14806574630.80641.803573964333.37686.45908218250.00350.17576459410.00414.75152918810.00479.32729378220.00543.90305837630.00608.47882297030.00673.05458756440.00737.63035215850.00802.20611675250.00866.78188134660.00931.3576459407As=17.6cm55.49122.91190.34257.78325.22392.66460.10527.55594.99662.4327.9478.72129.78180.88232.00283.13334.26385.39436.52487.6510.9143.3781.36119.73158.21196.72235.26273.81312.37350.9320.8224.5253.5685.06117.06149.23181.48213.78246.11278.4535.3521.5936.5462.1189.63117.74146.09174.58203.14231.75diseo de la columna principal52.8336.4630.2139.2556.6877.0098.43120.39142.63165.0373.4463.3555.2350.0448.7451.6158.0367.0177.6489.36acero de: 4 3/4"+ 4 5/8"91.9387.7484.3381.7980.2179.6480.1181.6184.0787.41107.99107.64107.74108.30109.30110.74112.60114.85117.48120.45124.25128.05132.11136.42140.96145.70150.62155.71160.94166.3240cm4 3/4"11.4143.60154.63165.76176.98188.27199.61211.01222.45233.93245.4419.312161.74178.90196.11213.35230.62247.91265.22282.54299.88317.224 5/8"7.912178.95201.35223.77246.21268.66291.12313.59336.07358.55381.03195.41222.33249.26276.20303.15330.10357.06384.02410.98437.940.8Columnas Con Estribos19.36mas el 10%19.312211.27242.13272.99303.86334.73365.60396.48427.35458.23489.110.85Columnas Zunchadas40 cm16.72menos el 5%226.64260.95295.27329.59363.91398.23432.55466.87501.20535.5219.312esta dentro del margen establecido241.61278.98316.35353.72391.10428.47465.84503.22540.59577.97Combinacion de Aceros en la Columna:256.25296.34336.43376.52416.61456.71496.80536.89576.99617.08DatosdA1A2A3A1+A2270.62313.14355.67398.20440.73483.26525.79568.32610.85653.38Acerocm#f#f#fcm2284.74329.46374.19418.91463.64508.36553.09597.82642.54687.27As15.007.51173708923/85.35350.18414.75479.33543.90608.48673.05737.63802.21866.78931.36As220.007.51173708923/85.350.000.000.000.000.000.000.000.000.000.00As335.007.51173708923/85.35As40.00As50.00As60.00Ast=16.060.7Columnas Con Estribos0.75Columnas Zunchadasc)Punto de falla en la zona de fluencia del acero en traccion:D c:2.1# varCPnMnaCalculadoAsumidoFuerza (kg)Brazo (m)Momento (kg-m)cmTnTn-mcmfs1fs2fs3fs4fs5fs6fs1fs2fs3fs4fs5fs6Fs1Fs2Fs3Fs4Fs5Fs6Ccsx1sx2sx3sx4sx5sx6CxMs1Ms2Ms3Ms4Ms5Ms6Mc12.10-55.44685179542.301.68-8285.7142857143-51142.8571428571-94000600060006000-4200-4200-4200420042004200-22480.6839317904-22480.6839317904-22480.683931790400011995.20.150.00-0.150.20.20.20.1916-3372.102589768603372.10258976860002298.2803224.20-27.08816077026.853.36-1142.8571428571-22571.4285714286-44000600060006000-1142.8571428571-4200-4200420042004200-6117.1929066096-22480.6839317904-22480.683931790400023990.40.150.00-0.150.20.20.20.1832-917.578935991403372.10258976860004395.0412836.30-2.348808881410.665.041238.0952380952-13047.619047619-27333.33333333336000600060001238.0952380952-4200-42004200420042006626.9589821604-22480.6839317904-22480.683931790400035985.60.150.00-0.150.20.20.20.1748994.043847324103372.10258976860006290.2828848.4016.01846706313.316.722428.5714285714-8285.7142857143-190006000600060002428.5714285714-4200-420042004200420012999.0349265455-22480.6839317904-22480.683931790400047980.80.150.00-0.150.20.20.20.16641949.855238981803372.10258976860007984.00512510.5031.836912629615.378.403142.8571428571-5428.5714285714-140006000600060003142.8571428571-4200-420042004200420016822.2804931765-22480.6839317904-22480.6839317904000599760.150.00-0.150.20.20.20.1582523.342073976503372.10258976860009476.208612.6050.000282143817.0410.083619.0476190476-3523.8095238095-10666.66666666676000600060003619.0476190476-3523.8095238095-420042004200420019371.1108709305-18861.3447953797-22480.683931790400071971.20.150.00-0.150.20.20.20.14962905.666630639603372.102589768600010766.89152714.7071.098447778618.4111.763959.1836734694-2163.2653061224-8285.71428571436000600060003959.1836734694-2163.2653061224-420042004200420021191.7039978976-11578.9722875111-22480.683931790400083966.40.150.00-0.150.20.20.20.14123178.755599684603372.102589768600011856.05568816.8089.844407093419.4913.444214.2857142857-1142.8571428571-65006000600060004200-1142.8571428571-420042004200420022480.6839317904-6117.1929066096-22480.683931790400095961.60.150.00-0.150.20.20.20.13283372.102589768603372.102589768600012743.70048918.90106.08765772320.1715.124412.6984126984-349.2063492063-5111.11111111116000600060004200-349.2063492063-420042004200420022480.6839317904-1869.1422770196-22480.6839317904000107956.80.150.00-0.150.20.20.20.12443372.102589768603372.102589768600013429.825921021.00122.551806985320.5016.804571.4285714286285.7142857143-40006000600060004200285.7142857143-400042004200420022480.68393179041529.2982266524-21410.17517313370001199520.150.00-0.150.20.20.20.1163372.102589768603211.5262759700013914.4321123.10142.193498118620.0518.484701.2987012987805.1948051948-3090.90909090916000600060004200805.1948051948-3090.909090909142004200420022480.68393179044309.8404569295-16544.2262701488000131947.20.150.00-0.150.20.20.20.10763372.102589768602481.633940522300014197.518721225.20160.56077406319.5220.164809.52380952381238.0952380952-2333.333333333360006000600042001238.0952380952-2333.333333333342004200420022480.68393179046626.9589821604-12489.2688509946000143942.40.150.00-0.150.20.20.20.09923372.102589768601873.390327649200014279.086081327.30177.947730631318.8921.844901.09890109891604.3956043956-1692.307692307760006000600042001604.3956043956-1692.307692307742004200420022480.68393179048587.5977342789-9058.1510347873000155937.60.150.00-0.150.20.20.20.09083372.102589768601358.722655218100014159.134081429.40194.564436261318.1323.524979.59183673471918.3673469388-1142.857142857160006000600042001918.3673469388-1142.857142857142004200420022480.683931790410268.1452360947-6117.1929066096000167932.80.150.00-0.150.20.20.20.08243372.10258976860917.578935991400013837.662721531.50210.564941140617.2225.205047.6190476192190.4761904762-666.666666666760006000600042002190.4761904762-666.666666666742004200420022480.683931790411724.6197376685-3568.36252885560001799280.150.00-0.150.20.20.20.0743372.10258976860535.254379328300013314.6721633.60226.0647829116.1626.885107.14285714292428.5714285714-25060006000600042002428.5714285714-25042004200420022480.683931790412999.0349265455-1338.1359483208000191923.20.150.00-0.150.20.20.20.06563372.10258976860200.720392248100012590.161921735.70241.15231388314.9428.565159.66386554622638.6554621849117.647058823560006000600042002638.6554621849117.647058823542004200420022480.683931790414123.5189167311629.7110345039000203918.40.150.00-0.150.20.20.20.05723372.10258976860-94.456655175600011664.132481837.80255.896252525713.5530.245206.34920634922825.3968253968444.444444444460006000600042002825.3968253968444.444444444442004200420022480.683931790415123.06024134052378.9083525704000215913.60.150.00-0.150.20.20.20.04883372.10258976860-356.836252885600010536.583681939.90270.350850258611.9931.925248.12030075192992.4812030075736.842105263260006000600042002992.4812030075736.842105263242004200420022480.683931790416017.38668967523943.9796371562000227908.80.150.00-0.150.20.20.20.04043372.10258976860-591.59694557340009207.515522042.00284.559508218210.2533.605285.71428571433142.8571428571100060006000600042003142.8571428571100042004200420022480.683931790416822.28049317655352.54379328340002399040.150.00-0.150.20.20.20.0323372.10258976860-802.88156899250007676.92821350.17576459410.00Linea:PnMn0.000.00118.5220.58a)Condicion de Carga ConcentricaAg=1600cm2Pno=350.18Tnb)Condicion Balanceadaey=0.002135.00Cb=20.59fsFs (Tn)Brazo (m)M(Tn-m)fs14542.86Fluye420022.48Compresion0.153.3721025898fs2171.43171.42857142860.92Compresion0.000fs3-4200.00-4200-22.48Traccion-0.153.3721025898fs46000.00Fluye42000Compresion0.200fs56000.00Fluye42000Compresion0.200fs66000.00Fluye42000Compresion0.200Ccab=16.47cm117.600.117647058813.8352941176Fnb=118.52TnMnb=20.5794992972Tn-m

0.70 Para Columnas Con Estribos0.75Para Columnas Zunchadas

P-122.8889035907-190.3309553861-257.7730071815-325.2150589769-392.6571107722-460.0991625676-527.541214363-594.9832661583-662.4253179537-78.1667215404-129.2452823106-180.3238430808-231.402403851-282.4809646211-333.5595253913-384.6380861615-435.7166469317-486.7952077019-40.6832177628-79.0176266443-117.3520355257-155.6864444071-194.0208532885-232.3552621699-270.6896710514-309.0240799328-347.3584888142-15.9438658741-47.9061988111-79.8685317481-111.8308646852-143.7931976222-175.7555305592-207.7178634963-239.6801964333-271.64252937043.6978252592-24.4412621112-52.5803494816-80.719436852-108.8585242224-136.9976115928-165.1366989632-193.2757863336-221.41487370428.02936428756.0584464313-15.912471425-37.8833892812-59.8543071374-81.8252249937-103.7961428499-125.7670607062-147.737978562458.230495557245.362543335832.494591114419.6266388936.7586866716-6.1092655498-18.9772177712-31.8451699926-44.71312221483.727214186877.610021280271.492828373665.37563546759.258442560353.141249653747.024056747140.906863840534.7896709339104.218515446102.3493731689100.480230891998.611088614996.741946337994.872804060993.003661783891.134519506889.2653772298125.1516139706127.7514209559130.3512279412132.9510349265135.5508419119138.1506488972140.7504558825143.3502628678145.9500698531152.4397962371162.6860943557172.9323924743183.1786905929193.4249887114203.67128683213.9175849486224.1638830671234.4101811857177.1791481259193.7975221889210.4158962518227.0342703148243.6526443777260.2710184407276.8893925036293.5077665666310.1261406296199.9578612626221.9679918938243.9781225251265.9882531564287.9983837877310.008514419332.0186450503354.0287756815376.0389063128221.1960725226247.8277087838274.4593450451301.0909813064327.7226175677354.3542538289380.9858900902407.6175263515434.2491626128241.2018822812271.8388234218302.4757645624333.112705703363.7496468436394.3865879842425.0235291248455.6604702654486.297411406260.20636582294.34794873328.4895316401362.6311145501396.7726974601430.9142803701465.0558632801499.1974461901533.3390291002278.3862277661315.6201416491352.8540555321390.0879694151427.3218832982464.5557971812501.7897110642539.0236249472576.2575388303295.8789050514335.8615575771375.8442101028415.8268626285455.8095151542495.7921676799535.7748202056575.7574727313615.740125257312.7929005172355.2349507759397.6770010345440.1190512931482.5611015517525.0031518104567.445202069609.8872523276652.3293025862329.2150164365373.8705246548418.526032873463.1815410913507.8370493095552.4925575278597.148065746641.8035739643686.4590821825414.7515291881479.3272937822543.9030583763608.4788229703673.0545875644737.6303521585802.2061167525866.7818813466931.3576459407

0.010.020.030.040.050.060.070.080.090.10pP=0.10Mn (Tn-m)Pn (Tn)DIAGRAMA DE INTERACCIONPunto Solicitado

P (2)Diagrama de interaccion para Columnas0.7Columnas Con EstribosHECHO POR : EST. ING CIVIL UNA-PUNO BORIS CHIQUE0.75Columnas Zunchadasb=40cmr=5cmf'c=210Kg/cm2Es=2000000Kg/cm2r=0.0201h=40cmfy=4200Kg/cm2f=0.7Columnas Con Estribos0.8Columnas Con Estribos0.85Columnas ZunchadasCombinacion de Aceros en la Columna:DatosdA1A2A3A1+A2Acerocm#f#f#fcm2As15.0015.02347417843/810.71As220.0015.02347417843/810.71As335.0015.02347417843/810.71As40.00As50.00a)Condicion de Carga ConcentricaAs60.00Ast=32.12Ag=1600cm2Pno=414.75Tnb)Condicion Balanceadaey=0.002135.00Cb=20.59fsFs (Tn)Brazo (m)M(Tn-m)fs14542.86Fluye420044.96Compresion0.156.7442051795fs2171.43171.42857142861.84Compresion0.000fs3-4200.00-4200-44.96Traccion-0.156.7442051795fs46000.00Fluye42000Compresion0.200fs56000.00Fluye42000Compresion0.200fs66000.00Fluye42000Compresion0.200Ccab=16.47cm117.600.117647058813.8352941176Fnb=119.44TnMnb=27.3237044767Tn-mc)Punto de falla en la zona de fluencia del acero en traccion:D c:2.1# varCPnMnaCalculadoAsumidoFuerza (kg)Brazo (m)Momento (kg-m)cmTnTn-mcmfs1fs2fs3fs4fs5fs6fs1fs2fs3fs4fs5fs6Fs1Fs2Fs3Fs4Fs5Fs6Ccsx1sx2sx3sx4sx5sx6CxMs1Ms2Ms3Ms4Ms5Ms6Mc12.10-122.88890359072.301.68-8285.7142857143-51142.8571428571-94000600060006000-4200-4200-4200420042004200-44961.3678635808-44961.3678635808-44961.367863580800011995.20.150.00-0.150.20.20.20.1916-6744.205179537106744.20517953710002298.2803224.20-78.16672154049.303.36-1142.8571428571-22571.4285714286-44000600060006000-1142.8571428571-4200-4200420042004200-12234.3858132193-44961.3678635808-44961.367863580800023990.40.150.00-0.150.20.20.20.1832-1835.157871982906744.20517953710004395.0412836.30-40.683217762815.025.041238.0952380952-13047.619047619-27333.33333333336000600060001238.0952380952-4200-420042004200420013253.9179643209-44961.3678635808-44961.367863580800035985.60.150.00-0.150.20.20.20.17481988.087694648106744.20517953710006290.2828848.40-15.943865874118.636.722428.5714285714-8285.7142857143-190006000600060002428.5714285714-4200-420042004200420025998.0698530909-44961.3678635808-44961.367863580800047980.80.150.00-0.150.20.20.20.16643899.710477963606744.20517953710007984.00512510.503.697825259221.278.403142.8571428571-5428.5714285714-140006000600060003142.8571428571-4200-420042004200420033644.560986353-44961.3678635808-44961.3678635808000599760.150.00-0.150.20.20.20.1585046.684147952906744.20517953710009476.208612.6028.029364287523.3210.083619.0476190476-3523.8095238095-10666.66666666676000600060003619.0476190476-3523.8095238095-420042004200420038742.221741861-37722.6895907594-44961.367863580800071971.20.150.00-0.150.20.20.20.14965811.333261279206744.205179537100010766.89152714.7058.230495557224.9611.763959.1836734694-2163.2653061224-8285.71428571436000600060003959.1836734694-2163.2653061224-420042004200420042383.4079957953-23157.9445750222-44961.367863580800083966.40.150.00-0.150.20.20.20.14126357.511199369306744.205179537100011856.05568816.8083.727214186826.2313.444214.2857142857-1142.8571428571-65006000600060004200-1142.8571428571-420042004200420044961.3678635808-12234.3858132193-44961.367863580800095961.60.150.00-0.150.20.20.20.13286744.205179537106744.205179537100012743.70048918.90104.21851544626.9215.124412.6984126984-349.2063492063-5111.11111111116000600060004200-349.2063492063-420042004200420044961.3678635808-3738.2845540392-44961.3678635808000107956.80.150.00-0.150.20.20.20.12446744.205179537106744.205179537100013429.825921021.00125.151613970627.0816.804571.4285714286285.7142857143-40006000600060004200285.7142857143-400042004200420044961.36786358083058.5964533048-42820.35034626740001199520.150.00-0.150.20.20.20.1166744.205179537106423.052551940100013914.4321123.10152.439796237125.9018.484701.2987012987805.1948051948-3090.90909090916000600060004200805.1948051948-3090.909090909142004200420044961.36786358088619.680913859-33088.4525402975000131947.20.150.00-0.150.20.20.20.10766744.205179537104963.267881044600014197.518721225.20177.179148125924.7720.164809.52380952381238.0952380952-2333.333333333360006000600042001238.0952380952-2333.333333333342004200420044961.367863580813253.9179643209-24978.5377019893000143942.40.150.00-0.150.20.20.20.09926744.205179537103746.780655298400014279.086081327.30199.957861262623.6221.844901.09890109891604.3956043956-1692.307692307760006000600042001604.3956043956-1692.307692307742004200420044961.367863580817175.1954685578-18116.3020695747000155937.60.150.00-0.150.20.20.20.09086744.205179537102717.445310436200014159.134081429.40221.196072522622.4223.524979.59183673471918.3673469388-1142.857142857160006000600042001918.3673469388-1142.857142857142004200420044961.367863580820536.2904721895-12234.3858132192000167932.80.150.00-0.150.20.20.20.08246744.205179537101835.157871982900013837.662721531.50241.201882281221.1325.205047.6190476192190.4761904762-666.666666666760006000600042002190.4761904762-666.666666666742004200420044961.367863580823449.2394753369-7136.72505771120001799280.150.00-0.150.20.20.20.0746744.205179537101070.508758656700013314.6721633.60260.2063658219.7426.885107.14285714292428.5714285714-25060006000600042002428.5714285714-25042004200420044961.367863580825998.0698530909-2676.2718966417000191923.20.150.00-0.150.20.20.20.06566744.20517953710401.440784496300012590.161921735.70278.386227766118.2228.565159.66386554622638.6554621849117.647058823560006000600042002638.6554621849117.647058823542004200420044961.367863580828247.03783346211259.4220690079000203918.40.150.00-0.150.20.20.20.05726744.20517953710-188.913310351200011664.132481837.80295.878905051416.5730.245206.34920634922825.3968253968444.444444444460006000600042002825.3968253968444.444444444442004200420044961.367863580830246.1204826814757.8167051408000215913.60.150.00-0.150.20.20.20.04886744.20517953710-713.672505771100010536.583681939.90312.792900517214.7731.925248.12030075192992.4812030075736.842105263260006000600042002992.4812030075736.842105263242004200420044961.367863580832034.77337935047887.9592743124000227908.80.150.00-0.150.20.20.20.04046744.20517953710-1183.19389114690009207.515522042.00329.215016436512.8233.605285.71428571433142.8571428571100060006000600042003142.8571428571100042004200420044961.367863580833644.56098635310705.08758656690002399040.150.00-0.150.20.20.20.0326744.20517953710-1605.7631379850007676.92821414.75152918810.00Linea:PnMn0.000.00119.4427.32

0.70 Para Columnas Con Estribos0.75 Para Columnas Zunchadas

P (2)

DiagramaLINEA

P (3)Diagrama de interaccion para Columnas0.7Columnas Con EstribosHECHO POR : EST. ING CIVIL UNA-PUNO BORIS CHIQUE0.75Columnas Zunchadasb=40cmr=5cmf'c=210Kg/cm2Es=2000000Kg/cm2r=0.030h=40cmfy=4200Kg/cm2f=0.7Columnas Con Estribos0.8Columnas Con Estribos0.85Columnas ZunchadasCombinacion de Aceros en la Columna:DatosdA1A2A3A1+A2Acerocm#f#f#fcm2As15.0022.53521126763/816.06As220.0022.53521126763/816.06As335.0022.53521126763/816.06As40.00As50.00a)Condicion de Carga ConcentricaAs60.00Ast=48.17Ag=1600cm2Pno=479.33Tnb)Condicion Balanceadaey=0.002135.00Cb=20.59fsFs (Tn)Brazo (m)M(Tn-m)fs14542.86Fluye420067.44Compresion0.1510.1163077693fs2171.43171.42857142862.75Compresion0.000fs3-4200.00-4200-67.44Traccion-0.1510.1163077693fs46000.00Fluye42000Compresion0.200fs56000.00Fluye42000Compresion0.200fs66000.00Fluye42000Compresion0.200Ccab=16.47cm117.600.117647058813.8352941176Fnb=120.35TnMnb=34.0679096563Tn-mc)Punto de falla en la zona de fluencia del acero en traccion:D c:2.1# varCPnMnaCalculadoAsumidoFuerza (kg)Brazo (m)Momento (kg-m)cmTnTn-mcmfs1fs2fs3fs4fs5fs6fs1fs2fs3fs4fs5fs6Fs1Fs2Fs3Fs4Fs5Fs6Ccsx1sx2sx3sx4sx5sx6CxMs1Ms2Ms3Ms4Ms5Ms6Mc12.10-190.33095538612.301.68-8285.7142857143-51142.8571428571-94000600060006000-4200-4200-4200420042004200-67442.0517953712-67442.0517953712-67442.051795371200011995.20.150.00-0.150.20.20.20.1916-10116.3077693057010116.30776930570002298.2803224.20-129.245282310611.763.36-1142.8571428571-22571.4285714286-44000600060006000-1142.8571428571-4200-4200420042004200-18351.5787198289-67442.0517953712-67442.051795371200023990.40.150.00-0.150.20.20.20.1832-2752.7368079743010116.30776930570004395.0412836.30-79.017626644319.395.041238.0952380952-13047.619047619-27333.33333333336000600060001238.0952380952-4200-420042004200420019880.8769464813-67442.0517953712-67442.051795371200035985.60.150.00-0.150.20.20.20.17482982.1315419722010116.30776930570006290.2828848.40-47.906198811123.956.722428.5714285714-8285.7142857143-190006000600060002428.5714285714-4200-420042004200420038997.1047796364-67442.0517953712-67442.051795371200047980.80.150.00-0.150.20.20.20.16645849.5657169455010116.30776930570007984.00512510.50-24.441262111227.168.403142.8571428571-5428.5714285714-140006000600060003142.8571428571-4200-420042004200420050466.8414795295-67442.0517953712-67442.0517953712000599760.150.00-0.150.20.20.20.1587570.0262219294010116.30776930570009476.208612.606.058446431329.6010.083619.0476190476-3523.8095238095-10666.66666666676000600060003619.0476190476-3523.8095238095-420042004200420058113.3326127915-56584.0343861391-67442.051795371200071971.20.150.00-0.150.20.20.20.14968716.9998919187010116.307769305700010766.89152714.7045.362543335831.5111.763959.1836734694-2163.2653061224-8285.71428571436000600060003959.1836734694-2163.2653061224-420042004200420063575.1119936929-34736.9168625333-67442.051795371200083966.40.150.00-0.150.20.20.20.14129536.2667990539010116.307769305700011856.05568816.8077.610021280232.9813.444214.2857142857-1142.8571428571-65006000600060004200-1142.8571428571-420042004200420067442.0517953712-18351.5787198289-67442.051795371200095961.60.150.00-0.150.20.20.20.132810116.3077693057010116.307769305700012743.70048918.90102.349373168933.6615.124412.6984126984-349.2063492063-5111.11111111116000600060004200-349.2063492063-420042004200420067442.0517953712-5607.4268310588-67442.0517953712000107956.80.150.00-0.150.20.20.20.124410116.3077693057010116.307769305700013429.825921021.00127.751420955933.6716.804571.4285714286285.7142857143-40006000600060004200285.7142857143-400042004200420067442.05179537124587.8946799572-64230.52551940110001199520.150.00-0.150.20.20.20.11610116.307769305709634.578827910200013914.4321123.10162.686094355731.7618.484701.2987012987805.1948051948-3090.90909090916000600060004200805.1948051948-3090.909090909142004200420067442.051795371212929.5213707886-49632.6788104463000131947.20.150.00-0.150.20.20.20.107610116.307769305707444.901821566900014197.518721225.20193.797522188930.0220.164809.52380952381238.0952380952-2333.333333333360006000600042001238.0952380952-2333.333333333342004200420067442.051795371219880.8769464813-37467.806552984000143942.40.150.00-0.150.20.20.20.099210116.307769305705620.170982947600014279.086081327.30221.967991893828.3521.844901.09890109891604.3956043956-1692.307692307760006000600042001604.3956043956-1692.307692307742004200420067442.051795371225762.7932028367-27174.453104362000155937.60.150.00-0.150.20.20.20.090810116.307769305704076.167965654300014159.134081429.40247.827708783826.7123.524979.59183673471918.3673469388-1142.857142857160006000600042001918.3673469388-1142.857142857142004200420067442.051795371230804.4357082842-18351.5787198289000167932.80.150.00-0.150.20.20.20.082410116.307769305702752.736807974300013837.662721531.50271.838823421825.0425.205047.6190476192190.4761904762-666.666666666760006000600042002190.4761904762-666.666666666742004200420067442.051795371235173.8592130054-10705.08758656680001799280.150.00-0.150.20.20.20.07410116.307769305701605.76313798500013314.6721633.60294.3479487323.3126.885107.14285714292428.5714285714-25060006000600042002428.5714285714-25042004200420067442.051795371238997.1047796364-4014.4078449625000191923.20.150.00-0.150.20.20.20.065610116.30776930570602.161176744400012590.161921735.70315.620141649121.5028.565159.66386554622638.6554621849117.647058823560006000600042002638.6554621849117.647058823542004200420067442.051795371242370.55675019321889.1331035118000203918.40.150.00-0.150.20.20.20.057210116.30776930570-283.369965526800011664.132481837.80335.861557577119.5830.245206.34920634922825.3968253968444.444444444460006000600042002825.3968253968444.444444444442004200420067442.051795371245369.18072402147136.7250577113000215913.60.150.00-0.150.20.20.20.048810116.30776930570-1070.508758656700010536.583681939.90355.234950775917.5531.925248.12030075192992.4812030075736.842105263260006000600042002992.4812030075736.842105263242004200420067442.051795371248052.160069025711831.9389114687000227908.80.150.00-0.150.20.20.20.040410116.30776930570-1774.79083672030009207.515522042.00373.870524654815.3833.605285.71428571433142.8571428571100060006000600042003142.8571428571100042004200420067442.051795371250466.841479529516057.63137985030002399040.150.00-0.150.20.20.20.03210116.30776930570-2408.64470697760007676.92821479.32729378220.00Linea:PnMn0.000.00120.3534.07


P (3)

DiagramaLINEA

P (4)Diagrama de interaccion para Columnas0.7Columnas Con EstribosHECHO POR : EST. ING CIVIL UNA-PUNO BORIS CHIQUE0.75Columnas Zunchadasb=40cmr=5cmf'c=210Kg/cm2Es=2000000Kg/cm2r=0.040h=40cmfy=4200Kg/cm2f=0.7Columnas Con Estribos0.8Columnas Con Estribos0.85Columnas ZunchadasCombinacion de Aceros en la Columna:DatosdA1A2A3A1+A2Acerocm#f#f#fcm2As15.0030.04694835683/821.41As220.0030.04694835683/821.41As335.0030.04694835683/821.41As40.00As50.00a)Condicion de Carga ConcentricaAs60.00Ast=64.23Ag=1600cm2Pno=543.90Tnb)Condicion Balanceadaey=0.002135.00Cb=20.59fsFs (Tn)Brazo (m)M(Tn-m)fs14542.86Fluye420089.92Compresion0.1513.4884103591fs2171.43171.42857142863.67Compresion0.000fs3-4200.00-4200-89.92Traccion-0.1513.4884103591fs46000.00Fluye42000Compresion0.200fs56000.00Fluye42000Compresion0.200fs66000.00Fluye42000Compresion0.200Ccab=16.47cm117.600.117647058813.8352941176Fnb=121.27TnMnb=40.8121148358Tn-mc)Punto de falla en la zona de fluencia del acero en traccion:D c:2.1# varCPnMnaCalculadoAsumidoFuerza (kg)Brazo (m)Momento (kg-m)cmTnTn-mcmfs1fs2fs3fs4fs5fs6fs1fs2fs3fs4fs5fs6Fs1Fs2Fs3Fs4Fs5Fs6Ccsx1sx2sx3sx4sx5sx6CxMs1Ms2Ms3Ms4Ms5Ms6Mc12.10-257.77300718152.301.68-8285.7142857143-51142.8571428571-94000600060006000-4200-4200-4200420042004200-89922.7357271616-89922.7357271616-89922.735727161600011995.20.150.00-0.150.20.20.20.1916-13488.4103590742013488.41035907420002298.2803224.20-180.323843080814.213.36-1142.8571428571-22571.4285714286-44000600060006000-1142.8571428571-4200-4200420042004200-24468.7716264385-89922.7357271616-89922.735727161600023990.40.150.00-0.150.20.20.20.1832-3670.3157439658013488.41035907420004395.0412836.30-117.352035525723.755.041238.0952380952-13047.619047619-27333.33333333336000600060001238.0952380952-4200-420042004200420026507.8359286417-89922.7357271616-89922.735727161600035985.60.150.00-0.150.20.20.20.17483976.1753892963013488.41035907420006290.2828848.40-79.868531748129.276.722428.5714285714-8285.7142857143-190006000600060002428.5714285714-4200-420042004200420051996.1397061819-89922.7357271616-89922.735727161600047980.80.150.00-0.150.20.20.20.16647799.4209559273013488.41035907420007984.00512510.50-52.580349481633.068.403142.8571428571-5428.5714285714-140006000600060003142.8571428571-4200-420042004200420067289.1219727059-89922.7357271616-89922.7357271616000599760.150.00-0.150.20.20.20.15810093.3682959059013488.41035907420009476.208612.60-15.91247142535.8810.083619.0476190476-3523.8095238095-10666.66666666676000600060003619.0476190476-3523.8095238095-420042004200420077484.443483722-75445.3791815188-89922.735727161600071971.20.150.00-0.150.20.20.20.149611622.6665225583013488.410359074200010766.89152714.7032.494591114438.0611.763959.1836734694-2163.2653061224-8285.71428571436000600060003959.1836734694-2163.2653061224-420042004200420084766.8159915906-46315.8891500443-89922.735727161600083966.40.150.00-0.150.20.20.20.141212715.0223987386013488.410359074200011856.05568816.8071.492828373639.7213.444214.2857142857-1142.8571428571-65006000600060004200-1142.8571428571-420042004200420089922.7357271616-24468.7716264385-89922.735727161600095961.60.150.00-0.150.20.20.20.132813488.4103590742013488.410359074200012743.70048918.90100.480230891940.4115.124412.6984126984-349.2063492063-5111.11111111116000600060004200-349.2063492063-420042004200420089922.7357271616-7476.5691080784-89922.7357271616000107956.80.150.00-0.150.20.20.20.124413488.4103590742013488.410359074200013429.825921021.00130.351227941240.2516.804571.4285714286285.7142857143-40006000600060004200285.7142857143-400042004200420089922.73572716166117.1929066096-85640.70069253480001199520.150.00-0.150.20.20.20.11613488.4103590742012846.105103880200013914.4321123.10172.932392474337.6118.484701.2987012987805.1948051948-3090.90909090916000600060004200805.1948051948-3090.909090909142004200420089922.735727161617239.3618277181-66176.9050805951000131947.20.150.00-0.150.20.20.20.107613488.410359074209926.535762089300014197.518721225.20210.415896251835.2620.164809.52380952381238.0952380952-2333.333333333360006000600042001238.0952380952-2333.333333333342004200420089922.735727161626507.8359286418-49957.0754039786000143942.40.150.00-0.150.20.20.20.099213488.410359074207493.561310596800014279.086081327.30243.978122525133.0821.844901.09890109891604.3956043956-1692.307692307760006000600042001604.3956043956-1692.307692307742004200420089922.735727161634350.3909371156-36232.6041391493000155937.60.150.00-0.150.20.20.20.090813488.410359074205434.890620872400014159.134081429.40274.459345045131.0023.524979.59183673471918.3673469388-1142.857142857160006000600042001918.3673469388-1142.857142857142004200420089922.735727161641072.580944379-24468.7716264385000167932.80.150.00-0.150.20.20.20.082413488.410359074203670.315743965800013837.662721531.50302.475764562428.9425.205047.6190476192190.4761904762-666.666666666760006000600042002190.4761904762-666.666666666742004200420089922.735727161646898.4789506739-14273.45011542240001799280.150.00-0.150.20.20.20.07413488.410359074202141.017517313400013314.6721633.60328.489531640126.8826.885107.14285714292428.5714285714-25060006000600042002428.5714285714-25042004200420089922.735727161651996.1397061819-5352.5437932834000191923.20.150.00-0.150.20.20.20.065613488.41035907420802.881568992500012590.161921735.70352.854055532124.7728.565159.66386554622638.6554621849117.647058823560006000600042002638.6554621849117.647058823542004200420089922.735727161656494.07566692432518.8441380158000203918.40.150.00-0.150.20.20.20.057213488.41035907420-377.826620702400011664.132481837.80375.844210102822.6030.245206.34920634922825.3968253968444.444444444460006000600042002825.3968253968444.444444444442004200420089922.735727161660492.24096536199515.6334102817000215913.60.150.00-0.150.20.20.20.048813488.41035907420-1427.345011542200010536.583681939.90397.677001034520.3331.925248.12030075192992.4812030075736.842105263260006000600042002992.4812030075736.842105263242004200420089922.735727161664069.546758700915775.9185486249000227908.80.150.00-0.150.20.20.20.040413488.41035907420-2366.38778229370009207.515522042.00418.52603287317.9533.605285.71428571433142.8571428571100060006000600042003142.8571428571100042004200420089922.735727161667289.12197270621410.17517313370002399040.150.00-0.150.20.20.20.03213488.41035907420-3211.52627597010007676.92821543.90305837630.00Linea:PnMn0.000.00121.2740.81


P (4)

DiagramaLINEA



P (5)

DiagramaLINEA



P (6)

DiagramaLINEA

P (7)Diagrama de interaccion para Columnas0.7Columnas Con EstribosHECHO POR : EST. ING CIVIL UNA-PUNO BORIS CHIQUE0.75Columnas Zunchadasb=40cmr=5cmf'c=210Kg/cm2Es=2000000Kg/cm2r=0.070h=40cmfy=4200Kg/cm2f=0.7Columnas Con Estribos0.8Columnas Con Estribos0.85Columnas ZunchadasCombinacion de Aceros en la Columna:DatosdA1A2A3A1+A2Acerocm#f#f#fcm2As15.0052.58215962443/837.47As220.0052.58215962443/837.47As335.0052.58215962443/837.47As40.00As50.00a)Condicion de Carga ConcentricaAs60.00Ast=112.40Ag=1600cm2Pno=737.63Tnb)Condicion Balanceadaey=0.002135.00Cb=20.59fsFs (Tn)Brazo (m)M(Tn-m)fs14542.86Fluye4200157.36Compresion0.1523.6047181284fs2171.43171.42857142866.42Compresion0.000fs3-4200.00-4200-157.36Traccion-0.1523.6047181284fs46000.00Fluye42000Compresion0.200fs56000.00Fluye42000Compresion0.200fs66000.00Fluye42000Compresion0.200Ccab=16.47cm117.600.117647058813.8352941176Fnb=124.02TnMnb=61.0447303744Tn-mc)Punto de falla en la zona de fluencia del acero en traccion:D c:2.1# varCPnMnaCalculadoAsumidoFuerza (kg)Brazo (m)Momento (kg-m)cmTnTn-mcmfs1fs2fs3fs4fs5fs6fs1fs2fs3fs4fs5fs6Fs1Fs2Fs3Fs4Fs5Fs6Ccsx1sx2sx3sx4sx5sx6CxMs1Ms2Ms3Ms4Ms5Ms6Mc12.10-460.09916256762.301.68-8285.7142857143-51142.8571428571-94000600060006000-4200-4200-4200420042004200-157364.787522533-157364.787522533-157364.78752253300011995.20.150.00-0.150.20.20.20.1916-23604.7181283799023604.71812837990002298.2803224.20-333.559525391321.583.36-1142.8571428571-22571.4285714286-44000600060006000-1142.8571428571-4200-4200420042004200-42820.3503462674-157364.787522533-157364.78752253300023990.40.150.00-0.150.20.20.20.1832-6423.0525519401023604.71812837990004395.0412836.30-232.355262169936.855.041238.0952380952-13047.619047619-27333.33333333336000600060001238.0952380952-4200-420042004200420046388.7128751231-157364.787522533-157364.78752253300035985.60.150.00-0.150.20.20.20.17486958.3069312685023604.71812837990006290.2828848.40-175.755530559245.246.722428.5714285714-8285.7142857143-190006000600060002428.5714285714-4200-420042004200420090993.2444858183-157364.787522533-157364.78752253300047980.80.150.00-0.150.20.20.20.166413648.9866728727023604.71812837990007984.00512510.50-136.997611592850.748.403142.8571428571-5428.5714285714-140006000600060003142.8571428571-4200-4200420042004200117755.963452235-157364.787522533-157364.787522533000599760.150.00-0.150.20.20.20.15817663.3945178353023604.71812837990009476.208612.60-81.825224993754.7110.083619.0476190476-3523.8095238095-10666.66666666676000600060003619.0476190476-3523.8095238095-4200420042004200135597.776096514-132029.413567658-157364.78752253300071971.20.150.00-0.150.20.20.20.149620339.666414477023604.718128379900010766.89152714.70-6.109265549857.7111.763959.1836734694-2163.2653061224-8285.71428571436000600060003959.1836734694-2163.2653061224-4200420042004200148341.927985284-81052.8060125776-157364.78752253300083966.40.150.00-0.150.20.20.20.141222251.2891977925023604.718128379900011856.05568816.8053.141249653759.9513.444214.2857142857-1142.8571428571-65006000600060004200-1142.8571428571-4200420042004200157364.787522533-42820.3503462674-157364.78752253300095961.60.150.00-0.150.20.20.20.132823604.7181283799023604.718128379900012743.70048918.9094.872804060960.6415.124412.6984126984-349.2063492063-5111.11111111116000600060004200-349.2063492063-4200420042004200157364.787522533-13083.9959391372-157364.787522533000107956.80.150.00-0.150.20.20.20.124423604.7181283799023604.718128379900013429.825921021.00138.150648897260.0016.804571.4285714286285.7142857143-40006000600060004200285.7142857143-4000420042004200157364.78752253310705.0875865669-149871.2262119360001199520.150.00-0.150.20.20.20.11623604.7181283799022480.683931790400013914.4321123.10203.6712868355.1718.484701.2987012987805.1948051948-3090.90909090916000600060004200805.1948051948-3090.9090909091420042004200157364.78752253330168.8831985066-115809.583891041000131947.20.150.00-0.150.20.20.20.107623604.7181283799017371.437583656200014197.518721225.20260.271018440751.0020.164809.52380952381238.0952380952-2333.333333333360006000600042001238.0952380952-2333.3333333333420042004200157364.78752253346388.7128751231-87424.8819569626000143942.40.150.00-0.150.20.20.20.099223604.7181283799013113.732293544400014279.086081327.30310.00851441947.2721.844901.09890109891604.3956043956-1692.307692307760006000600042001604.3956043956-1692.3076923077420042004200157364.78752253360113.1841399524-63407.0572435113000155937.60.150.00-0.150.20.20.20.090823604.718128379909511.058586526700014159.134081429.40354.354253828943.8723.524979.59183673471918.3673469388-1142.857142857160006000600042001918.3673469388-1142.8571428571420042004200157364.78752253371877.0166526632-42820.3503462673000167932.80.150.00-0.150.20.20.20.082423604.718128379906423.052551940100013837.662721531.50394.386587984240.6725.205047.6190476192190.4761904762-666.666666666760006000600042002190.4761904762-666.6666666667420042004200157364.78752253382072.3381636793-24978.53770198920001799280.150.00-0.150.20.20.20.07423604.718128379903746.780655298400013314.6721633.60430.914280370137.6026.885107.14285714292428.5714285714-25060006000600042002428.5714285714-250420042004200157364.78752253390993.2444858183-9366.9516382459000191923.20.150.00-0.150.20.20.20.065623604.718128379901405.042745736900012590.161921735.70464.555797181234.6128.565159.66386554622638.6554621849117.647058823560006000600042002638.6554621849117.6470588235420042004200157364.78752253398864.63241711754407.9772415276000203918.40.150.00-0.150.20.20.20.057223604.71812837990-661.196586229100011664.132481837.80495.792167679931.6430.245206.34920634922825.3968253968444.444444444460006000600042002825.3968253968444.4444444444420042004200157364.787522533105861.42168938316652.358467993000215913.60.150.00-0.150.20.20.20.048823604.71812837990-2497.853770198900010536.583681939.90525.003151810428.6731.925248.12030075192992.4812030075736.842105263260006000600042002992.4812030075736.8421052632420042004200157364.787522533112121.70682772727607.8574600935000227908.80.150.00-0.150.20.20.20.040423604.71812837990-4141.1786190140009207.515522042.00552.492557527825.6633.605285.71428571433142.8571428571100060006000600042003142.85714285711000420042004200157364.787522533117755.96345223537467.80655298410002399040.150.00-0.150.20.20.20.03223604.71812837990-5620.17098294760007676.92821737.63035215850.00Linea:PnMn0.000.00124.0261.04


P (7)

DiagramaLINEA



P (8)

DiagramaLINEA



P (9)

DiagramaLINEA



P (10)

DiagramaLINEA

MBD0007A0D5.unknown

MBD0007A325.unknown

MBD0007A438.unknown

MBD0007A43C.unknown

MBD00187A25.unknown

MBD0018BA8F.unknown

MBD00189D61.unknown

MBD0009D933.unknown

MBD000F0EAC.unknown

MBD00187695.unknown

MBD000B2A61.unknown

MBD0007A43E.unknown

MBD0009A02E.unknown

MBD00091AE7.unknown

MBD0007A43D.unknown

MBD0007A43A.unknown

MBD0007A43B.unknown

MBD0007A439.unknown

MBD0007A329.unknown

MBD0007A32B.unknown

MBD0007A437.unknown

MBD0007A32A.unknown

MBD0007A327.unknown

MBD0007A328.unknown

MBD0007A326.unknown

MBD0007A21C.unknown

MBD0007A220.unknown

MBD0007A222.unknown

MBD0007A324.unknown

MBD0007A221.unknown

MBD0007A21E.unknown

MBD0007A21F.unknown

MBD0007A21D.unknown

MBD0007A0D9.unknown

MBD0007A0DB.unknown

MBD0007A21B.unknown

MBD0007A0DA.unknown

MBD0007A0D7.unknown

MBD0007A0D8.unknown

MBD0007A0D6.unknown

MBD00079E8A.unknown

MBD00079FA9.unknown

MBD00079FAD.unknown

MBD00079FAF.unknown

MBD0007A0D4.unknown

MBD00079FAE.unknown

MBD00079FAB.unknown

MBD00079FAC.unknown

MBD00079FAA.unknown

MBD00079E8E.unknown

MBD00079E90.unknown

MBD00079FA8.unknown

MBD00079E8F.unknown

MBD00079E8C.unknown

MBD00079E8D.unknown

MBD00079E8B.unknown

MBD00079D5D.unknown

MBD00079D61.unknown

MBD00079D63.unknown

MBD00079E89.unknown

MBD00079D62.unknown

MBD00079D5F.unknown

MBD00079D60.unknown

MBD00079D5E.unknown

MBD00079AD8.unknown

MBD00079ADC.unknown

MBD00079ADE.unknown

MBD00079D5C.unknown

MBD00079ADD.unknown

MBD00079ADA.unknown

MBD00079ADB.unknown

MBD00079AD9.unknown

MBD0007997E.unknown

MBD00079980.unknown

MBD00079AD7.unknown

MBD0007997F.unknown

MBD0007997A.unknown

MBD0007997C.unknown

MBD0007997D.unknown

MBD0007997B.unknown

MBD0006B152.unknown

MBD00079979.unknown

MBD00077598.unknown

MBD0006323B.unknown

04 Diseño de Columna

Documents

Transcript of 04 Diseño de Columna