analisis armadura

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elemento 1 E(t/cm2) L(cm) A(cm2) EA/L cos a 2040.00000 400.00000 87.09660 444.19266 1.00000 444.19266 0.00000 -444.19266 0.00000 0.00000 0.00000 0.00000 0.00000 k1l= -444.19266 0.00000 444.19266 0.00000 0.00000 0.00000 0.00000 0.00000 444.19266 0.00000 -444.19266 0.00000 a1t*K1l 0.00000 0.00000 0.00000 0.00000 -444.19266 0.00000 444.19266 0.00000 0.00000 0.00000 0.00000 0.00000 elemento 2 E(t/cm2) L(cm) A(cm2) EA/L cos a 2040.00000 640.31200 167.74160 534.41582 0.62470 534.41582 0.00000 -534.41582 0.00000 0.00000 0.00000 0.00000 0.00000 k2l= -534.41582 0.00000 534.41582 0.00000 0.00000 0.00000 0.00000 0.00000 333.84956 0.00000 -333.84956 0.00000 a2t*K2l 417.30928 0.00000 -417.30928 0.00000 -333.84956 0.00000 333.84956 0.00000 -417.30928 0.00000 417.30928 0.00000 elemento 3 E(t/cm2) L(cm) A(cm2) EA/L cos a 2040.00000 500.00000 128.25780 523.29182 0.00000 523.29182 0.00000 -523.29182 0.00000 0.00000 0.00000 0.00000 0.00000 k3l= -523.29182 0.00000 523.29182 0.00000 0.00000 0.00000 0.00000 0.00000

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se muestra el análisis de una armadura con el método de rigidez matricial

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elementos

elemento 1E(t/cm2)L(cm)A(cm2)EA/Lcos asen a2040.00000400.0000087.09660444.192661.000000.00000

444.192660.00000-444.192660.000001.000000.000000.000000.000001.000000.000000.000000.000000.000000.000000.000000.000000.000001.000000.000000.000000.000001.000000.000000.00000k1l=-444.192660.00000444.192660.00000a1=0.000000.000001.000000.00000a1t=0.000000.000001.000000.000000.000000.000000.000000.000000.000000.000000.000001.000000.000000.000000.000001.00000

1.000002.000003.000004.00000444.192660.00000-444.192660.00000444.192660.00000-444.192660.000001.00000a1t*K1l0.000000.000000.000000.00000K1G=0.000000.000000.000000.000002.00000-444.192660.00000444.192660.00000-444.192660.00000444.192660.000003.000000.000000.000000.000000.000000.000000.000000.000000.000004.00000

elemento 2E(t/cm2)L(cm)A(cm2)EA/Lcos asen a2040.00000640.31200167.74160534.415820.624700.78087

534.415820.00000-534.415820.000000.624700.780870.000000.000000.62470-0.780870.000000.000000.000000.000000.000000.00000-0.780870.624700.000000.000000.780870.624700.000000.00000k2l=-534.415820.00000534.415820.00000a2=0.000000.000000.624700.78087a2t=0.000000.000000.62470-0.780870.000000.000000.000000.000000.000000.00000-0.780870.624700.000000.000000.780870.62470

1.000002.000005.000006.00000333.849560.00000-333.849560.00000208.55582260.69311-208.55582-260.693111.00000a2t*K2l417.309280.00000-417.309280.00000K2G=260.69311325.86430-260.69311-325.864302.00000-333.849560.00000333.849560.00000-208.55582-260.69311208.55582260.693115.00000-417.309280.00000417.309280.00000-260.69311-325.86430260.69311325.864306.00000

elemento 3E(t/cm2)L(cm)A(cm2)EA/Lcos asen a2040.00000500.00000128.25780523.291820.000001.00000

523.291820.00000-523.291820.000000.000001.000000.000000.000000.00000-1.000000.000000.000000.000000.000000.000000.00000-1.000000.000000.000000.000001.000000.000000.000000.00000k3l=-523.291820.00000523.291820.00000a3=0.000000.000000.000001.00000a3t=0.000000.000000.00000-1.000000.000000.000000.000000.000000.000000.00000-1.000000.000000.000000.000001.000000.00000

3.000004.000005.000006.000000.000000.000000.000000.000000.000000.000000.000000.000003.00000a3t*K3l523.291820.00000-523.291820.00000K3G=0.00000523.291820.00000-523.291824.000000.000000.000000.000000.000000.000000.000000.000000.000005.00000-523.291820.00000523.291820.000000.00000-523.291820.00000523.291826.00000

elemento 4E(t/cm2)L(cm)A(cm2)EA/Lcos asen a2040.00000427.2000087.09660415.910730.936330.35112

415.910730.00000-415.910730.000000.936330.351120.000000.000000.93633-0.351120.000000.000000.000000.000000.000000.00000-0.351120.936330.000000.000000.351120.936330.000000.00000k4l=-415.910730.00000415.910730.00000a4=0.000000.000000.936330.35112a4t=0.000000.000000.93633-0.351120.000000.000000.000000.000000.000000.00000-0.351120.936330.000000.000000.351120.93633

3.000004.000007.000008.00000389.429690.00000-389.429690.00000364.63471136.73655-364.63471-136.736553.00000a4t*K4l146.034580.00000-146.034580.00000K4G=136.7365551.27566-136.73655-51.275664.00000-389.429690.00000389.429690.00000-364.63471-136.73655364.63471136.736557.00000-146.034580.00000146.034580.00000-136.73655-51.27566136.7365551.275668.00000

elemento 5E(t/cm2)L(cm)A(cm2)EA/Lcos asen a2040.00000531.51000167.74160643.812650.75257-0.65850

643.812650.00000-643.812650.000000.75257-0.658500.000000.000000.752570.658500.000000.000000.000000.000000.000000.000000.658500.752570.000000.00000-0.658500.752570.000000.00000k5l=-643.812650.00000643.812650.00000a5=0.000000.000000.75257-0.65850a5t=0.000000.000000.752570.658500.000000.000000.000000.000000.000000.000000.658500.752570.000000.00000-0.658500.75257

5.000006.000007.000008.00000484.514090.00000-484.514090.00000364.63077-319.05253-364.63077319.052535.00000a5t*K5l-423.950630.00000423.950630.00000K5G=-319.05253279.17149319.05253-279.171496.00000-484.514090.00000484.514090.00000-364.63077319.05253364.63077-319.052537.00000423.950630.00000-423.950630.00000319.05253-279.17149-319.05253279.171498.00000

elemento 6E(t/cm2)L(cm)A(cm2)EA/Lcos asen a2040.00000400.00000128.25780654.114781.000000.00000

654.114780.00000-654.114780.000001.000000.000000.000000.000001.000000.000000.000000.000000.000000.000000.000000.000000.000001.000000.000000.000000.000001.000000.000000.00000k6l=-654.114780.00000654.114780.00000a6=0.000000.000001.000000.00000a6t=0.000000.000001.000000.000000.000000.000000.000000.000000.000000.000000.000001.000000.000000.000000.000001.00000

5.000006.000009.0000010.00000654.114780.00000-654.114780.00000654.114780.00000-654.114780.000005.00000a6t*K6l0.000000.000000.000000.00000K6G=0.000000.000000.000000.000006.00000-654.114780.00000654.114780.00000-654.114780.00000654.114780.000009.000000.000000.000000.000000.000000.000000.000000.000000.0000010.00000

elemento 7E(t/cm2)L(cm)A(cm2)EA/Lcos asen a2040.00000350.00000128.25780747.559750.000001.00000

747.559750.00000-747.559750.000000.000001.000000.000000.000000.00000-1.000000.000000.000000.000000.000000.000000.00000-1.000000.000000.000000.000001.000000.000000.000000.00000k7l=-747.559750.00000747.559750.00000a7=0.000000.000000.000001.00000a7t=0.000000.000000.00000-1.000000.000000.000000.000000.000000.000000.00000-1.000000.000000.000000.000001.000000.00000

7.000008.000009.0000010.000000.000000.000000.000000.000000.000000.000000.000000.000007.00000a7t*K7l747.559750.00000-747.559750.00000K7G=0.00000747.559750.00000-747.559758.000000.000000.000000.000000.000000.000000.000000.000000.000009.00000-747.559750.00000747.559750.000000.00000-747.559750.00000747.5597510.00000

elemento 8E(t/cm2)L(cm)A(cm2)EA/Lcos asen a2040.00000531.51000167.74160643.812650.752570.65850

643.812650.00000-643.812650.000000.752570.658500.000000.000000.75257-0.658500.000000.000000.000000.000000.000000.00000-0.658500.752570.000000.000000.658500.752570.000000.00000k8l=-643.812650.00000643.812650.00000a8=0.000000.000000.752570.65850a8t=0.000000.000000.75257-0.658500.000000.000000.000000.000000.000000.00000-0.658500.752570.000000.000000.658500.75257

7.000008.0000013.0000014.00000484.514090.00000-484.514090.00000364.63077319.05253-364.63077-319.052537.00000a8t*K8l423.950630.00000-423.950630.00000K8G=319.05253279.17149-319.05253-279.171498.00000-484.514090.00000484.514090.00000-364.63077-319.05253364.63077319.0525313.00000-423.950630.00000423.950630.00000-319.05253-279.17149319.05253279.1714914.00000

elemento 9E(t/cm2)L(cm)A(cm2)EA/Lcos asen a2040.00000447.21000167.74160765.172660.89443-0.44722

765.172660.00000-765.172660.000000.89443-0.447220.000000.000000.894430.447220.000000.000000.000000.000000.000000.000000.447220.894430.000000.00000-0.447220.894430.000000.00000k9l=-765.172660.00000765.172660.00000a9=0.000000.000000.89443-0.44722a9t=0.000000.000000.894430.447220.000000.000000.000000.000000.000000.000000.447220.894430.000000.00000-0.447220.89443

9.0000010.0000011.0000012.00000684.393380.00000-684.393380.00000612.14197-306.07441-612.14197306.074419.00000a9t*K9l-342.200520.00000342.200520.00000K9G=-306.07441153.03891306.07441-153.0389110.00000-684.393380.00000684.393380.00000-612.14197306.07441612.14197-306.0744111.00000342.200520.00000-342.200520.00000306.07441-153.03891-306.07441153.0389112.00000

elemento 10E(t/cm2)L(cm)A(cm2)EA/Lcos asen a2040.00000400.00000128.25780654.114781.000000.00000

654.114780.00000-654.114780.000001.000000.000000.000000.000001.000000.000000.000000.000000.000000.000000.000000.000000.000001.000000.000000.000000.000001.000000.000000.00000k10l=-654.114780.00000654.114780.00000a10=0.000000.000001.000000.00000a10t=0.000000.000001.000000.000000.000000.000000.000000.000000.000000.000000.000001.000000.000000.000000.000001.00000

9.0000010.0000013.0000014.00000654.114780.00000-654.114780.00000654.114780.00000-654.114780.000009.00000a10t*K10l0.000000.000000.000000.00000K10G=0.000000.000000.000000.0000010.00000-654.114780.00000654.114780.00000-654.114780.00000654.114780.0000013.000000.000000.000000.000000.000000.000000.000000.000000.0000014.00000

elemento 11E(t/cm2)L(cm)A(cm2)EA/Lcos asen a2040.00000427.2000087.09660415.910730.936330.35112

415.910730.00000-415.910730.000000.936330.351120.000000.000000.93633-0.351120.000000.000000.000000.000000.000000.00000-0.351120.936330.000000.000000.351120.936330.000000.00000k11l=-415.910730.00000415.910730.00000a11=0.000000.000000.936330.35112a11t=0.000000.000000.93633-0.351120.000000.000000.000000.000000.000000.00000-0.351120.936330.000000.000000.351120.93633

7.000008.0000011.0000012.00000389.429690.00000-389.429690.00000364.63471136.73655-364.63471-136.736557.00000a11t*K11l146.034580.00000-146.034580.00000K11G=136.7365551.27566-136.73655-51.275668.00000-389.429690.00000389.429690.00000-364.63471-136.73655364.63471136.7365511.00000-146.034580.00000146.034580.00000-136.73655-51.27566136.7365551.2756612.00000

elemento 12E(t/cm2)L(cm)A(cm2)EA/Lcos asen a2040.00000200.00000128.257801308.229560.000001.00000

1308.229560.00000-1308.229560.000000.000001.000000.000000.000000.00000-1.000000.000000.000000.000000.000000.000000.00000-1.000000.000000.000000.000001.000000.000000.000000.00000k12l=-1308.229560.000001308.229560.00000a12=0.000000.000000.000001.00000a12t=0.000000.000000.00000-1.000000.000000.000000.000000.000000.000000.00000-1.000000.000000.000000.000001.000000.00000

11.0000012.0000013.0000014.000000.000000.000000.000000.000000.000000.000000.000000.0000011.00000a12t*K12l1308.229560.00000-1308.229560.00000K12G=0.000001308.229560.00000-1308.2295612.000000.000000.000000.000000.000000.000000.000000.000000.0000013.00000-1308.229560.000001308.229560.000000.00000-1308.229560.000001308.2295614.00000

rigidez total56789101112131412341227.30137-58.35942-364.63077319.05253-654.114780.000000.000000.000000.000000.00000-208.55582-260.693110.000000.000005-58.359421128.32762319.05253-279.171490.000000.000000.000000.000000.000000.00000-260.69311-325.864300.00000-523.291826-364.63077319.052531458.53095273.473110.000000.00000-364.63471-136.73655-364.63077-319.052530.000000.00000-364.63471-136.736557319.05253-279.17149273.473111408.454050.00000-747.55975-136.73655-51.27566-319.05253-279.171490.000000.00000-136.73655-51.275668-654.114780.000000.000000.000001920.37153-306.07441-612.14197306.07441-654.114780.000000.000000.000000.000000.0000090.000000.000000.00000-747.55975-306.07441900.59866306.07441-153.038910.000000.000000.000000.000000.000000.00000100.000000.00000-364.63471-136.73655-612.14197306.07441976.77668-169.337850.000000.000000.000000.000000.000000.00000110.000000.00000-136.73655-51.27566306.07441-153.03891-169.337851512.544130.00000-1308.229560.000000.000000.000000.00000120.000000.00000-364.63077-319.05253-654.114780.000000.000000.000001018.74555319.052530.000000.000000.000000.00000130.000000.00000-319.05253-279.171490.000000.000000.00000-1308.22956319.052531587.401050.000000.000000.000000.0000014-208.55582-260.693110.000000.000000.000000.000000.000000.000000.000000.00000652.74848260.69311-444.192660.000001-260.69311-325.864300.000000.000000.000000.000000.000000.000000.000000.00000260.69311325.864300.000000.0000020.000000.00000-364.63471-136.736550.000000.000000.000000.000000.000000.00000-444.192660.00000808.82737136.7365530.00000-523.29182-136.73655-51.275660.000000.000000.000000.000000.000000.000000.000000.00000136.73655574.567484

1227.30137-58.35942-364.63077319.05253-654.114780.000000.000000.000000.000000.00000-58.359421128.32762319.05253-279.171490.000000.000000.000000.000000.000000.00000-364.63077319.052531458.53095273.473110.000000.00000-364.63471-136.73655-364.63077-319.05253Kdd=319.05253-279.17149273.473111408.454050.00000-747.55975-136.73655-51.27566-319.05253-279.17149-654.114780.000000.000000.000001920.37153-306.07441-612.14197306.07441-654.114780.000000.000000.000000.00000-747.55975-306.07441900.59866306.07441-153.038910.000000.000000.000000.00000-364.63471-136.73655-612.14197306.07441976.77668-169.337850.000000.000000.000000.00000-136.73655-51.27566306.07441-153.03891-169.337851512.544130.00000-1308.229560.000000.00000-364.63077-319.05253-654.114780.000000.000000.000001018.74555319.052530.000000.00000-319.05253-279.171490.000000.000000.00000-1308.22956319.052531587.40105

5678910111213140.00778-0.002390.00296-0.007900.00778-0.007900.00503-0.013400.00778-0.013405Kdd^-1-0.00238870920.0019109796-0.00121823510.0032486617-0.00238870920.0032486617-0.00171986060.0045863439-0.00238870920.004586343960.0029612353-0.00121823510.0027987888-0.00234416370.0029612353-0.00234416370.0028684078-0.00252981660.0029612353-0.00252981667-0.00789671180.0032486617-0.00234416370.0121018477-0.00789671180.0121018476-0.00472379750.0184476051-0.00789671190.018447605180.0077807467-0.00238870920.0029612353-0.00789671180.0093095304-0.00789671170.0056818992-0.01515189270.0093095305-0.01515189279-0.00789671180.0032486617-0.00234416370.0121018476-0.00789671170.0133927727-0.00506103980.0188356378-0.00800359220.0187888775100.0050267144-0.00171986060.0028684078-0.00472379750.0056818992-0.00506103980.0052764139-0.00751935250.005566253-0.007569947811-0.01340471460.0045863439-0.00252981660.0184476051-0.01515189270.0188356378-0.00751935250.0359959976-0.01601214890.0356196348120.0077807468-0.00238870920.0029612353-0.00789671190.0093095305-0.00800359220.005566253-0.01601214890.0105940191-0.016119028213-0.01340471460.0045863439-0.00252981660.0184476051-0.01515189270.0187888775-0.00756994780.0356196348-0.01611902820.03596090414

desplazamientos5678910111213140.0077807467-0.00238870920.0029612353-0.00789671180.0077807467-0.00789671180.0050267144-0.01340471460.0077807468-0.013404714650.005Kdd^-1=-0.00238870920.0019109796-0.00121823510.0032486617-0.00238870920.0032486617-0.00171986060.0045863439-0.00238870920.00458634396-8.0060.0029612353-0.00121823510.0027987888-0.00234416370.0029612353-0.00234416370.0028684078-0.00252981660.0029612353-0.002529816670.007-0.00789671180.0032486617-0.00234416370.0121018477-0.00789671180.0121018476-0.00472379750.0184476051-0.00789671190.018447605180.0080.0077807467-0.00238870920.0029612353-0.00789671180.0093095304-0.00789671170.0056818992-0.01515189270.0093095305-0.01515189279FG=0.009-0.00789671180.0032486617-0.00234416370.0121018476-0.00789671170.0133927727-0.00506103980.0188356378-0.00800359220.018788877510-12.00100.0050267144-0.00171986060.0028684078-0.00472379750.0056818992-0.00506103980.0052764139-0.00751935250.005566253-0.0075699478116.0011-0.01340471460.0045863439-0.00252981660.0184476051-0.01515189270.0188356378-0.00751935250.0359959976-0.01601214890.0356196348120.00120.0077807468-0.00238870920.0029612353-0.00789671190.0093095305-0.00800359220.005566253-0.01601214890.0105940191-0.0161190282130.0013-0.01340471460.0045863439-0.00252981660.0184476051-0.01515189270.0187888775-0.00756994780.0356196348-0.01611902820.03596090414-8.00140.0010.0020.251268217850.003-0.10128169260.0040.07532482547[Dd]G=-0.347135091180.26917675149-0.3673798249100.166709429111-0.592791598120.277502523213-0.595264200614

reacciones567891011121314-208.5558227448-260.6931091832000000001-260.6931091832-325.8642999325000000002Krd00-364.6347055108-136.736554205200000030-523.291824-136.7365542052-51.275660197300000040.25126821785-0.1012816926-26.00001068791DD0.07532482547-32.49980525992-0.3471350911820.000010687930.2691767514960.49980525994-0.367379824910FR=0.166709429111-0.592791598120.277502523213-0.595264200614

fuerzas internaselemento 11234444.192660-444.1926601010000000200100k1G=-444.192660444.19266030001000004000010P1G=000P1L=0000elemento 21256208.5558227448260.6931091832-208.5558227448-260.6931091832100.62470.7808700260.6931091832325.8642999325-260.6931091832-325.864299932520-0.780870.624700k2G=-208.5558227448-260.6931091832208.5558227448260.693109183250.2512682178000.62470.78087-260.6931091832-325.8642999325260.6931091832325.86429993256-0.10128169200-0.780870.6247

-26.0000106879P2G=-32.499805259926.000010687932.4998052599P2L=-41.6203296101-041.62032961010elemento 3345600003001000523.2918240-523.29182440-1000k3G=000050.251268217800010-523.2918240523.2918246-0.10128169200-100P3G=52.9998813520-52.999881352P3L=52.9998813520-52.9998813520elemento 43478364.6347055108136.7365542052-364.6347055108-136.7365542052300.936330.3511200136.736554205251.2756601973-136.7365542052-51.275660197340-0.351120.9363300k4G=-364.6347055108-136.7365542052364.6347055108136.736554205270.0753248254000.936330.35112-136.7365542052-51.2756601973136.736554205251.27566019738-0.347135091100-0.351120.9363320.0000106879P4G=7.499923908-20.0000106879-7.499923908P4L=21.35998329-0-21.359983290elemento 55678364.6307682647-319.0525278742-364.6307682647319.052527874250.25126821780.75257-0.658500-319.0525278742279.1714918282319.0525278742-279.17149182826-0.1012816920.65850.7525700k5G=-364.6307682647319.0525278742364.6307682647-319.052527874270.0753248254000.75257-0.6585319.0525278742-279.1714918282-319.0525278742279.17149182828-0.3471350911000.65850.75257-14.28577413P5G=12.50007609214.28577413-12.500076092P5L=-18.9823451436018.9823451436-0elemento 656910654.114780-654.11478050.2512682178100000006-0.1012816920100k6G=-654.114780654.11478090.26917675140010000010-0.36737982490001-11.714236558P6G=011.7142365580P6L=-11.714236558011.7142365580elemento 778910000070.075324825401000747.55974857140-747.55974857148-0.3471350911-1000k7G=000090.269176751400010-747.55974857140747.559748571410-0.367379824900-100P7G=15.13414814110-15.1341481411P7L=15.13414814110-15.13414814110elemento 8781314364.6307682647319.0525278742-364.6307682647-319.052527874270.07532482540.752570.658500319.0525278742279.1714918282-319.0525278742-279.17149182828-0.3471350911-0.65850.7525700k8G=-364.6307682647-319.0525278742364.6307682647319.0525278742130.2775025232000.752570.6585-319.0525278742-279.1714918282319.0525278742279.171491828214-0.595264200600-0.65850.752575.4460103565P8G=4.7652681076-5.4460103565-4.7652681076P8L=7.23643306290-7.2364330629-0elemento 99101112612.1419706288-306.0744072813-612.1419706288306.074407281390.26917675140.89443-0.4472200-306.0744072813153.0389146432306.0744072813-153.038914643210-0.36737982490.447220.8944300k9G=-612.1419706288306.0744072813612.1419706288-306.0744072813110.1667094291000.89443-0.44722306.0744072813-153.0389146432-306.0744072813153.038914643212-0.592791598000.447220.89443-6.2682262014P9G=3.13414814116.2682262014-3.1341481411P9L=-7.00814329307.008143293-0elemento 109101314654.114780-654.11478090.26917675141000000010-0.36737982490100k10G=-654.114780654.114780130.27750252320010000014-0.59526420060001-5.4460103565P10G=05.44601035650P10L=-5.446010356505.44601035650elemento 11781112364.6347055108136.7365542052-364.6347055108-136.736554205270.07532482540.936330.3511200136.736554205251.2756601973-136.7365542052-51.27566019738-0.3471350911-0.351120.9363300k11G=-364.6347055108-136.7365542052364.6347055108136.7365542052110.1667094291000.936330.35112-136.7365542052-51.2756601973136.736554205251.275660197312-0.59279159800-0.351120.936330.2682262014P11G=0.1005837513-0.2682262014-0.1005837513P11L=0.2864652059-0-0.28646520590elemento 12111213140000110.1667094291010001308.229560-1308.2295612-0.592791598-1000k12G=0000130.277502523200010-1308.2295601308.2295614-0.595264200600-100P12G=3.23473189240-3.2347318924P12L=3.23473189240-3.23473189240