METODO MATRICIAL DE RIGIDEZ (METODO GENERACION DIRECTA)

DATOS:

EA= ooE= 2173706.5 Ton/m^2

Iv= 0.00312 m^4 Ic= 0.000675EI= 6792.83281 Ton/m^2 EI= 1467.251887Lc= 2.8 m

Lv 1= 5.8 mLv 2= 2.4 mLv3= 2.8 mLv4= 3.4 m

6EI/Lc^2= 1122.906EI/Lv1^2= 1211.566EI/Lv2^2= 7075.876EI/Lv3^2= 5198.606EI/Lv4^2= 3525.69

4EI/Lc= 2096.074EI/Lv1= 4684.714EI/Lv2= 11321.394EI/Lv3= 9704.05 2EI/Lv3= 4852.024EI/Lv4= 7991.57 2EI/Lv4= 3995.782EI/Lv1= 2342.36 2EI/Lc= 2096.072EI/Lv2= 11321.39 12EI/Lc^3= 802.07

k11= 8020.6918k21= -4010.3459k31= 0k41= -1122.90k51= 0.00k61= -1122.90k71= 0k81= -1122.90k91= 0

k101= -1122.90k111= 0.00k121= 1122.90

k12= -4010.35k22= 4010.3459k32= 1122.90k42= 1122.90k52= 1122.90k62= 1122.90k72= 1122.90k82= 1122.90k92= 1122.90

k102= 1122.90k112= 1122.90k122= 1122.90

k13= 0k23= 1122.90k33= 12183.7163k43= 2096.07k53= 3995.78k63= 0k73= 0k83= 0k93= 0

k103= 0k113= 0k123= 0

k14= -1122.90k24= 1122.90k34= 2096.07k44= 10087.64k54= 0k64= 3995.78

k74= 0k84= 0k94= 0

k104= 0k114= 0k124= 0

k15= 0k25= 1122.90k35= 7991.57k45= 0k55= 21887.76k65= 2096.07k75= 9704.05k85= 0k95= 0

k105= 0k115= 0k125= 0

k16= -1122.90k26= 1122.90k36= 0k46= 3995.78

k56= 2096.07k66= 19791.69k76= 0k86= 4852.02k96= 0

k106= 0k116= 0k126= 0

k17= 0k27= 1122.90k37= 0k47= 0k57= 4852.02k67= 0k77= 25217.58k87= 2096.07k97= 11321.39

k107= 0k117= 0k127= 0

k18= -1122.90k28= 1122.90

k38= 0k48= 0k58= 0k68= 4852.02k78= 11321.39k88= 23121.51k98= 0

k108= 11321.39k118= 0k128= 0

k19= 0k29= 2096.07k39= 0k49= 0k59= 0k69= 0k79= 11321.39k89= 0k99= 20198.25

k109= 2096.07k119= 2342.36k129= 0

k110= -1122.90k210= 1122.90k310= 0k410= 0k510= 0k610= 0k710= 0k810= 11321.39k910= 2096.07

k1010= 18102.17k1110= 0k1210= 2342.36

k111= 0k211= 1122.90k311= 0k411= 0k511= 0k611= 0k711= 0k811= 0k911= 2342.36

k1011= 0.00k1111= 8876.86k1211= 2096.07

k112= -1122.90k212= 1122.90k312= 0k412= 0k512= 0k612= 0k712= 0k812= 0k912= 0

k1012= 2342.36k1112= 2096.07k1212= 6780.79

0 1122.90 0 19791.69 0 2342.36 1122.89685 -1122.901122.89685 12183.72 0 0.00 0 0.00 0 1122.900 2096.07 0 4852.02 0 0.00 0 0.000 3995.78 0 0.00 0 0.00 0 0.000 0.00 0 0.00 -1122.90 0.00 0 0.000 0.00 0 0.00 1122.90 0.00 0 4852.020 0.00 0 0.00 0 0.00 0 11321.39

k= 0 0.00 0 0.00 0 0.00 2342.36 23121.510 0.00 0 0.00 0 0.00 0.00 0.000 0.00 0 0.00 4852.02 0.00 8876.86 11321.390 0.00 1122.90 0.00 11321.39 0.00 2096.07 0.000 0.00 7991.57 0.00 23121.51 0.00 0 0.00

K11 K12

K21 K22

0 1122.90 0 19791.69 0.00 2342.36 1122.901122.89685 12183.72 0 0.00 0.00 0.00 0.00

𝐾_𝑐𝑜𝑛𝑑=[𝐾_11 ]−[𝐾_12 ] [𝐾_22 ]" " ^(−1) [𝐾_21 ]𝐾_𝐿= −

0 1122.89685 #VALUE! #VALUE!1122.89685 12183.7163 #VALUE! #VALUE!

#VALUE! #VALUE! 0#VALUE! #VALUE! 0

0 0 0

𝐾_𝐿= −

𝐾_𝐿=

0 -1122.90 0 -1122.902096.07413 1122.90 1122.89685 1122.90

0 0.00 0 0.000 0.00 0 0.000 0.00 0 0.000 0.00 0 0.00

11321.39 0.00 0 0.000 11321.39 0 0.00

20198.25 2096.07 2342.36 0.002096.07 18102.17 0.00 2342.362342.36 0.00 8876.86 2096.07

0 2342.36 2096.07 6780.79

0 4852.02 0.00 0.00-1122.90 0.00 -1122.90 0.00 -1122.90 0.00 0.00 0.00 0.001122.90 2096.07 1122.90 1122.90 1122.90 0.00 0.00 -1122.90 0.00

0 0.00 1122.90 0.00

0 0.00 0.00 0.000 0.00 0.00 0.000 0.00 0.00 0.000 0.00 4852.02 0.00

1122.90 0.00 11321.39 0.007991.57 0.00 23121.51 0.00

0.00 0 0.00 0 0.00 0.00 -10.00 0.00 0.00 0.00 0.00 0.00 0.00 3995.780.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 4852.02 0.00 0.00 0.00 0.00 0.00 0.00

0.00 11321.39 11321.39 0.00 0.00 0.00 0.00 0.002342.36 23121.51 0.00 11321.39 0.00 0.00 0.00 0.00

0.00 0.00 20198.25 2096.07 2342.36 0.00 0.00 0.008876.86 11321.39 2096.07 18102.17 0.00 2342.36 0.00 0.002096.07 0.00 2342.36 0.00 8876.86 2096.07 0.00 0.00

0.00 0.00 0.00 2342.36 2096.07 6780.79 0.00 0.00