100
DIAGRAMA DE INTERACCIÓN PARA E 55 Es 2000000 f'c 210 kg/cm2 fy 4200 kg/cm2 Ø 1 " As 5.1 cm2 16 diametro 110 cm peralte !d 102.45 #$%c&os 0. 54(5 cm Ø )/* As1 5.1 d1 As2 10.2 d2 As) 10.2 d) As4 10.2 d4 As5 10.2 d5 As6 10.2 d6 As( 10.2 d( As* 10.2 d* As 5.1 d El ce%trodie +lastico , -o 55 cm El rea e% compresi % del co%creto ser , arc cos! !60 a/60 Ac 60 2 ( cos se%

Diagrama 110 Cm

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110cmDIAGRAMA DE INTERACCIN PARA EL PILAR 5555PnMnfPnfMn11.1704167.08467.8193116.9592d'73.6110182.770251.5277127.9391371.2080247.5109259.8456173.2576Es2000000473.1428263.8514331.1999184.6960f'c210kg/cm2578.8899275.6726405.2230192.9708fy4200kg/cm2614.0984278.9559429.8689195.26911"646.1106282.4481452.2774197.7137As5.1cm2804.2108283.3391562.9476198.3374N16914.5011277.5728640.1508194.3009diametro110cm1026.4682269.0170718.5278188.3119peralte (d)102.451133.0451257.9931793.1316180.5952zunchos0.95475cm1235.4434245.1173864.8103171.58213/81333.8446229.4745933.6912160.6322recubrimiento5cm

As15.1d17.23cmAs210.2d210.87cmAs310.2d321.22cmAs410.2d436.72cmAs510.2d555cmAs610.2d673.28cmAs710.2d788.78cmAs810.2d899.13cmAs95.1d9102.77cm

El centrodie Plastico :Yo55cm

El rea en compresin del concreto ser:=arc cos( (60-a)/60)Ac=602 (-cossen)

Condicin de carga concntricaAg=9503.3177771091cm2PnMnAst81.6cm2mb804.2108154544283.3390873442a1914.501106242277.5727803003Pno2024.496623214tna21026.4682459854269.0170446894a31133.0451313183257.9930948439Condicio Balanceadaa41235.4433559034245.1173149562a51333.8445809314229.4745426475Es=Ey=Fy/Es0.0021a61517.8898032946193.3528021093b1646.1105771558282.4481416339Cb=60.2647058824b2578.8899383702275.6726199271b3473.1427645171263.8513614611ab=085xcb51.225cmb4371.2080066324247.5108885514b573.6109689262182.7701637278fsi=6x(c-di)/cFs1=fy4.2t/cm2b611.1703640196167.0845660924fs1=4.2Cs121.42tnPUNTO614.098405968278.9559059872dfs2=4.2t/cm2Cs242.84fs3=3.8873206442t/cm2Cs339.650670571fs4=2.3441288433t/cm2Cs423.910114202fs5=0.5241581259t/cm2Cs55.3464128843PnMnfs6=1.2958125915t/cm2Ts613.217288433411.1703640196167.0845660924fs7=2.8390043924t/cm2Ts728.957844802373.6109689262182.7701637278fs8=3.8694582723t/cm2Ts839.4684743777371.2080066324247.5108885514fs9=4.2t/cm2Ts921.42473.1427645171263.8513614611578.8899383702275.6726199271=1.5021059582rad614.098405968278.9559059872Ac4336.7351563612cm2646.1105771558282.4481416339804.2108154544283.3390873442Cc774.1072254105Tn914.501106242277.5727803003Pnb804.2108154544Tn1026.4682459854269.01704468941133.0451313183257.99309484390.2539555729m1235.4433559034245.11731495621333.8445809314229.47454264751517.8898032946193.3528021093Mnb283.3390873442Tn-m

Un punto de la Zona fragilc>cbAsumimosc=65cma=55.25=1.575341797radAc4779.1587938573cm2

Cc=853.0798447035t0.2320768863mfsi=6x(c-di)/cfs1=4.2t/cm2Cs121.42tfs2=4.2t/cm2Cs242.84tfs3=4.0412307692t/cm2Cs341.2205538462tfs4=2.6104615385t/cm2Cs426.6267076923tfs5=0.9230769231t/cm2Cs59.4153846154tfs6=0.7643076923t/cm2Ts67.7959384615tfs7=2.1950769231t/cm2Ts722.3897846154tfs8=3.1504615385t/cm2Ts832.1347076923tfs9=3.4864615385t/cm2Ts917.7809538462t

Pn914.501106242tnMn277.5727803003t-m

c=70cma=59.5=1.6527060694radAc5246.1060599423cm2

Cc=936.4299316997t0.2093072108m

fsi=6x(c-di)/cfs1=4.2t/cm2Cs121.42tfs2=4.2Cs242.84tfs3=4.1811428571Cs342.6476571429tfs4=2.8525714286Cs429.0962285714tfs5=1.2857142857Cs513.1142857143tfs6=0.2811428571Ts62.8676571429tfs7=1.6097142857Ts716.4190857143tfs8=2.4968571429Ts825.4679428571tfs9=2.8088571429Ts914.3251714286t

Pn1026.4682459854tnMn269.0170446894t-m

c=75cma=63.75=1.7305660928radAc5710.083200663cm2

Cc=1019.2498513183t0.1869193206m

fsi=6x(c-di)/cfs1=4.2t/cm2Cs121.42tfs2=4.2t/cm3Cs242.84tfs3=4.2t/cm4Cs342.84tfs4=3.0624t/cm5Cs431.23648tfs5=1.6t/cm6Cs516.32tfs6=0.1376t/cm7Cs61.40352tfs7=1.1024t/cm8Ts711.24448tfs8=1.9304t/cm9Ts819.69008tfs9=2.2216t/cm10Ts911.33016t

Pn1133.0451313183tnMn257.9930948439t-m

c=80cma=68=1.8094180581radAc6168.2298650048cm2

Cc=1101.0290309034t0.1649626011m

fsi=6x(c-di)/cfs1=4.2t/cm2Cs121.42tfs2=4.2t/cm3Cs242.84tfs3=4.2t/cm4Cs342.84tfs4=3.246t/cm5Cs433.1092tfs5=1.875t/cm6Cs519.125tfs6=0.504t/cm7Cs65.1408tfs7=0.6585t/cm8Ts76.7167tfs8=1.43475t/cm9Ts814.63445tfs9=1.70775t/cm10Ts98.709525t

Pn1235.4433559034tnMn245.1173149562t-m

c=85cma=72.25=1.8898165423radAc6617.5741228651cm2

Cc=1181.2369809314t0.143496774m

fsi=6x(c-di)/cfs1=4.2t/cm2Cs121.42tfs2=4.2Cs242.84tfs3=4.2Cs342.84tfs4=3.408Cs434.7616tfs5=2.1176470588Cs521.6tfs6=0.8272941176Cs68.4384tfs7=0.2668235294Ts72.7216tfs8=0.9974117647Ts810.1736tfs9=1.2543529412Ts96.3972t

Pn1333.8445809314tnMn229.4745426475t-m

c=95cma=80.75=2.0580283575radAc7476.9798209044cm2

Cc=1334.6408980314t0.1023493608m

fsi=6x(c-di)/cfs1=4.2t/cm2Cs121.42tfs2=4.2Cs242.84tfs3=4.2Cs342.84tfs4=3.6808421053Cs437.5445894737tfs5=2.5263157895Cs525.7684210526tfs6=1.3717894737Cs613.9922526316tfs7=0.3928421053Cs74.0069894737tfs8=0.2608421053Ts82.6605894737tfs9=0.4907368421Ts92.5027578947t

Pn1517.8898032946tnMn193.3528021093t-m

c