diagrama interacción

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f'c= 280 fy= 4200 Es= 2039000 Ec= 250998.008 b= 0.3 h= 0.6 Ø5/8" 1.98 0.1f'cAc 50400 kg A).-PUNTOS DE COMPRESION PURA Ac= 1800 cm2 As= 23.76 cm2 Pn= 522537.12 kg 522.53712 Tn Pu= 271719.3024 kg 271.7193024 Tn B).-PUNTO FALLA BALANCEADA. Cb= 32.02 cm a= 27.214 cm €s1= 0.002060 _( =) 6117 /(6117+ )

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Diagrama de iteracion

f'c=280kg/cm2d16cmfy=4200kg/cm2d218cmEs=2039000kg/cm2d330cmEc=250998.007960223kg/cm2d442cmd554cmb=0.3mAs15.94cm2h=0.6mAs23.96cm25/8"1.98cm2As33.96cm2As43.96cm2As55.94cm2Astotal23.76cm2

0.1f'cAc50400kgA).-PUNTOS DE COMPRESION PURAAc=1800cm2As=23.76cm2Pn=522537.12kg522.53712Tn

Pu=271719.3024kg271.7193024TnB).-PUNTO FALLA BALANCEADA.Cb=32.02cm

a=27.214cm

s1=0.002060

d1=6cm

As1=5.94cm2

sc=0.002438d2=18d3=30d4=42d5=54Fs1=4200kg/cm2As2=3.96As3=3.96As4=3.96As4=5.94sc=0.0013133889sc=0.0001889815sc=0.0009354259sc=0.0020598333C=24948fs2=2678fs3=385.3333333333fs4=1907.3333333333fs4=4200C=10604.88C=1525.92T=-7553.04T=-24948B.Palanca=24B.Palanca=12B.Palanca=0B.Palanca=12B.Palanca=24Momento=127258.56Momento=0Momento=90636.48Momento=598752Momento=598752Cc=194310.355917418B.palanca=16.39Momento=3185297.06290394

Pn_Total198888.115917418kg198.8881159174TnMn_Total4600696.10290394kg_cm46.006961029Tn_m0.65Pu_Total129277.275346322kg129.2772753463TnMu_Total2990452.46688756kg_cm29.9045246689Tn_mC).-PUNTO DE TRACCIN NULAc=54cma=45.9cm

sb=0.002060

d1=6cmAs1=5.94cm2s1=0.002667fs1=4200C=24948B.Palanca=24Momento=598752d2=18d3=30d4=42d5=54As2=3.96As3=3.96As4=3.96As5=5.94s2=0.002000s3=0.001333s4=0.000667s5=0.000000fs2=4078fs3=2718.6666666667fs4=1359.3333333333fs5=0C=16148.88C=10765.92C=5382.96C=0B.Palanca=12B.Palanca=0B.Palanca=12B.Palanca=24Momento=193786.56Momento=0Momento=-64595.52Momento=0Cc=327726.00B.palanca=7.05Momento=2310468.3

Pn_Total384971.76kg384.97176TnMn_Total3038411.34kg_cm30.3841134Tn_m0.65Pu_Total250231.644kg250.231644TnMu_Total1974967.371kg_cm19.74967371Tn_mD).- PUNTO DE FLEXION PURAc=9.954a=8.4609sb=0.002060d1=6As1=5.94s1=0.001192fs1=2429.8390596745C=14433.2440144665B.Palanca=24Momento=346397.856347197d2=18d3=30d4=42d5=54As2=3.96As3=3.96As4=3.96As5=5.94s2=0.002425s3=0.006042s4=0.009658s5=0.013275fs2=4200fs3=4200fs4=4200fs4=4200T=-16632T=-16632T=-16632T=-24948B.Palanca=12B.Palanca=0B.Palanca=12B.Palanca=24Momento=-199584Momento=0Momento=199584Momento=598752Cc=60410.83B.palanca=25.77Momento=1556759.8011483

Pn_Total0.07kg0.00TnMn_Total2501909.6574955kg_cm25.019096575Tn_m0.90Pu_Total0.0630129956kg0.00TnMu_Total2251717.82284778kg_cm22.52Tn_mE).- PUNTO ENTRE FALLA BALANCEADA Y FLEXION PURA.1*c=14a=11.9sb=0.002060d1=6As1=5.94s1=0.001714fs1=3495.4285714286C=20762.8457142857B.Palanca=24Momento=498308.297142857d2=18d3=30d4=42d5=54As2=3.96As3=3.96As4=3.96As5=5.94s2=0.000857s3=0.003429s4=0.006000s5=0.008571fs2=1747.7142857143fs3=4200fs4=4200fs4=4200T=-6920.9485714286T=-16632T=-16632T=-24948B.Palanca=12B.Palanca=0B.Palanca=12B.Palanca=24Momento=-83051.3828571429Momento=0Momento=199584Momento=598752Cc=84966.00B.palanca=24.05Momento=2043432.3

Pn_Total40595.90kg40.60TnMn_Total3257025.21428572kg_cm32.5702521429Tn_m0.70Pu_Total28361.5709958659kg28.36TnMu_Total2275460.28913276kg_cm22.75Tn_m2*c=16a=13.6sb=0.002060d1=6As1=5.94s1=0.001875fs1=3823.125C=22709.3625B.Palanca=24Momento=545024.7d2=18d3=30d4=42d5=54As2=3.96As3=3.96As4=3.96As5=5.94s2=0.000375s3=0.002625s4=0.004875s5=0.007125fs2=764.625fs3=4200fs4=4200fs4=4200T=-3027.915T=-16632T=-16632T=-24948B.Palanca=12B.Palanca=0B.Palanca=12B.Palanca=24Momento=-36334.98Momento=0Momento=199584Momento=598752Cc=97104.00B.palanca=23.20Momento=2252812.8

Pn_Total58573.45kg58.57TnMn_Total3559838.52kg_cm35.5983852Tn_m0.65Pu_Total38072.740875kg38.07TnMu_Total2313895.038kg_cm23.14Tn_m3*c=20a=17sb=0.002060d1=6As1=5.94s1=0.002100fs1=4200C=24948B.Palanca=24Momento=598752d2=18d3=30d4=42d5=54As2=3.96As3=3.96As4=3.96As5=5.94s2=0.000300s3=0.001500s4=0.003300s5=0.005100fs2=611.7fs3=3058.5fs4=4200fs4=4200C=2422.332T=-12111.66T=-16632T=-24948B.Palanca=12B.Palanca=0B.Palanca=12B.Palanca=24Momento=29067.984Momento=0Momento=199584Momento=598752Cc=121380.00B.palanca=21.50Momento=2609670

Pn_Total95058.67kg95.06TnMn_Total4035825.984kg_cm40.35825984Tn_m0.65Pu_Total61788.1368kg61.79TnMu_Total2623286.8896kg_cm26.23Tn_m4*c=25a=21.25sb=0.002060d1=6As1=5.94s1=0.002280fs1=4200C=24948B.Palanca=24Momento=598752d2=18d3=30d4=42d5=54As2=3.96As3=3.96As4=3.96As5=5.94s2=0.000840s3=0.000600s4=0.002040s5=0.003480fs2=1712.76fs3=1223.4fs4=4159.56fs4=4200C=6782.5296T=-4844.664T=-16471.8576T=-24948B.Palanca=12B.Palanca=0B.Palanca=12B.Palanca=24Momento=81390.3552Momento=0Momento=197662.2912Momento=598752Cc=151725.00B.palanca=19.38Momento=2939671.875

Pn_Total137191.01kg137.19TnMn_Total4416228.5214kg_cm44.162285214Tn_m0.65Pu_Total89174.1552kg89.17TnMu_Total2870548.53891kg_cm28.71Tn_m5*c=30a=25.5sb=0.002060d1=6As1=5.94s1=0.002400fs1=4200C=24948B.Palanca=24Momento=598752d2=18d3=30d4=42d5=54As2=3.96As3=3.96As4=3.96As5=5.94s2=0.001200s3=0.000000s4=0.001200s5=0.002400fs2=2446.8fs3=0fs4=2446.8fs4=4200C=9689.328T=0T=-9689.328T=-24948B.Palanca=12B.Palanca=0B.Palanca=12B.Palanca=24Momento=116271.936Momento=0Momento=116271.936Momento=598752Cc=182070.00B.palanca=17.25Momento=3140707.5

Pn_Total182070.00kg182.07TnMn_Total4570755.372kg_cm45.70755372Tn_m0.65Pu_Total118345.5kg118.35TnMu_Total2970990.9918kg_cm29.71Tn_mF).- PUNTO ENTRE FALLA BALANCEADA Y COMPRESION PURA.6*c=35a=29.75sb=0.002060d1=6As1=5.94s1=0.002486fs1=4200T=-24948B.Palanca=24Momento=598752d2=18d3=30d4=42d5=54As2=3.96As3=3.96As4=3.96As5=5.94s2=0.001457s3=0.000429s4=0.000600s5=0.001629fs2=2971.1142857143fs3=873.8571428571fs4=1223.4fs4=3320.6571428571C=11765.6125714286C=3460.4742857143T=-4844.664T=-19724.7034285714B.Palanca=12B.Palanca=0B.Palanca=12B.Palanca=24Momento=141187.350857143Momento=0Momento=58135.968Momento=473392.882285714Cc=212415.00B.palanca=15.13Momento=3212776.875

Pn_Total178123.72kg178.12TnMn_Total4484245.07614286kg_cm44.8424507614Tn_m0.65Pu_Total115780.417628571kg115.78TnMu_Total2914759.29949286kg_cm29.15Tn_m7*c=39a=33.15sb=0.002060d1=6As1=5.94s1=0.002538fs1=4200T=-24948B.Palanca=24Momento=598752d2=18d3=30d4=42d5=54As2=3.96As3=3.96As4=3.96As5=5.94s2=0.001615s3=0.000692s4=0.000231s5=0.001154fs2=3293.7692307692fs3=1411.6153846154fs4=470.5384615385fs4=2352.6923076923C=13043.3261538462C=5589.9969230769T=-1863.3323076923T=-13974.9923076923B.Palanca=12B.Palanca=0B.Palanca=12B.Palanca=24Momento=156519.913846154Momento=0Momento=22359.9876923077Momento=335399.815384615Cc=236691.00B.palanca=13.43Momento=3177576.675

Pn_Total214538.00kg214.54TnMn_Total4290608.39192308kg_cm42.9060839192Tn_m0.65Pu_Total139449.699kg139.45TnMu_Total2788895.45475kg_cm27.89Tn_m8*c=43a=36.55sb=0.002060d1=6As1=5.94s1=0.002581fs1=4200T=-24948B.Palanca=24Momento=598752d2=18d3=30d4=42d5=54As2=3.96As3=3.96As4=3.96As5=5.94s2=0.001744s3=0.000907s4=0.000070s5=0.000767fs2=3556.3953488372fs3=1849.3255813954fs4=142.2558139535fs4=1564.8139534884C=14083.3255813953C=7323.3293023256C=563.3330232558T=-9294.9948837209B.Palanca=12B.Palanca=0B.Palanca=12B.Palanca=24Momento=168999.906976744Momento=0Momento=-6759.9962790698Momento=223079.877209302Cc=260967.00B.palanca=11.73Momento=3059838.075

Pn_Total248693.99kg248.69TnMn_Total4043909.86290698kg_cm40.4390986291Tn_m0.65Pu_Total161651.095465116kg161.65TnMu_Total2628541.41088954kg_cm26.29Tn_m9*c=47a=39.95sb=0.002060d1=6As1=5.94s1=0.002617fs1=4200T=-24948B.Palanca=24Momento=598752d2=18d3=30d4=42d5=54As2=3.96As3=3.96As4=3.96As5=5.94s2=0.001851s3=0.001085s4=0.000319s5=0.000447fs2=3774.3191489362fs3=2212.5319148936fs4=650.7446808511fs4=911.0425531915C=14946.3038297872C=8761.6263829787C=2576.9489361702T=-5411.5927659574B.Palanca=12B.Palanca=0B.Palanca=12B.Palanca=24Momento=179355.645957447Momento=0Momento=-30923.3872340426Momento=129878.226382979Cc=285243.00B.palanca=10.03Momento=2859561.075

Pn_Total281168.29kg281.17TnMn_Total3736623.56010638kg_cm37.3662356011Tn_m0.65Pu_Total182759.386148936kg182.76TnMu_Total2428805.31406915kg_cm24.29Tn_m10*c=58a=49.3sb=0.002060d1=6As1=5.94s1=0.002690fs1=4200T=-24948B.Palanca=24Momento=598752d2=18d3=30d4=42d5=54As2=3.96As3=3.96As4=3.96As5=5.94s2=0.002069s3=0.001448s4=0.000828s5=0.000207fs2=4200fs3=2953.0344827586fs4=1687.4482758621fs4=421.8620689655C=16632C=11694.0165517241C=6682.2951724138C=2505.8606896552B.Palanca=12B.Palanca=0B.Palanca=12B.Palanca=24Momento=199584Momento=0Momento=-80187.5420689655Momento=-60140.6565517241Cc=352002.00B.palanca=5.35Momento=1883210.7

Pn_Total364568.17kg364.57TnMn_Total2541218.50137931kg_cm25.4121850138Tn_m0.65Pu_Total271719.3024kg271.72TnMu_Total1651792.02589655kg_cm16.52Tn_m

NominalesUltimosResumenCMnPnMuPuComp.Pura72.970522.540271.72Balanceada32.0246.01198.8929.90129.28Traccion.Nula54.0030.38384.9719.75250.23Flexion.Pura9.9525.020.0022.520.00114.0032.5740.6022.7528.36216.0035.6058.5723.1438.07320.0040.3695.0626.2361.79425.0044.16137.1928.7189.17530.0045.71182.0729.71118.35635.0044.84178.1229.15115.78739.0042.91214.5427.89139.45843.0040.44248.6926.29161.65947.0037.37281.1724.29182.761058.0025.41364.5716.52271.72

NominalesUltimosResumenCMnPnMuPuFlexion.Pura9.9525.020.0022.520.00110.0032.5740.6022.7528.36216.0035.6058.5723.1438.07320.0040.3695.0626.2361.79425.0044.16137.1928.7189.17530.0045.71182.0729.71118.35Balanceada32.0246.01198.8929.90129.286.0035.0044.84178.1229.15115.787.0039.0042.91214.5427.89139.458.0043.0040.44248.6926.29161.659.0047.0037.37281.1724.29182.76Traccion.Nula54.0030.38384.9719.75250.2310.0058.0025.41364.5716.52271.72Comp.Pura72.970.00522.540.00271.72DATOS PARA EL GRFICONominalesltimosResumencMnPnMuPuFlexin Pura9.9525.020.0022.520.001.0010.0032.5740.6022.7528.362.0016.0035.6058.5723.1438.073.0020.0040.3695.0626.2361.794.0025.0044.16137.1928.7189.175.0030.0045.71182.0729.71118.35Balanceada32.0246.01198.8929.90129.286.0035.0044.84228.0229.15148.217.0040.0042.91264.4327.89171.888.0045.0040.44298.5926.29194.089.0050.0037.37331.0624.29215.19Traccin Nula54.0030.38384.9719.75250.2310.0052.0025.41414.4616.52271.72Comp. Pura72.970.00522.540.00271.72

Hoja2

Hoja3