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DATOS GENERALES BARRA 1 MATRIZ DE RIGIDEZ DE PORTICOS
AREA[M^2] A= 0.0625
INERCIA [M^4] I= 0.0003255208
MODULO DE ELASTIC 2530000
LONGITUD [M] L= 1.5
COSENO A= 1
SENO A= 0
M= 1098.0902777778
N= 96
O= 0
P= 0
Q= 2.6666666667
R= 2
DY1 O1 DY2
2928.241 2196.181 -2928.241
BARRA 1-2 K12= 2196.181 2196.181 -2196.181
-2928.241 -2196.181 2928.241
2196.181 1098.090 -2196.181
DATOS GENERALES BARRA 2 MATRIZ DE RIGIDEZ DE PORTICOS
AREA[M^2] A= 0.0625
INERCIA [M^4] I= 0.0003255208
MODULO DE ELASTIC 2530000
LONGITUD [M] L= 2
COSENO A= 1
SENO A= 0
M= 823.5677083333
N= 96
O= 0
P= 0
Q= 1.5
R= 1.5
DY2 O2 DY3
1235.352 1235.352 -1235.352
BARRA 2-3 K2-3= 1235.352 1647.135 -1235.352
-1235.352 -1235.352 1235.352
1235.352 823.568 -1235.352
DATOS GENERALES BARRA 3 MATRIZ DE RIGIDEZ DE PORTICOS
AREA[M^2] A= 0.0625
INERCIA [M^4] I= 0.0003255208
−−+ 6
2
6
2 22
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MODULO DE ELASTIC 2530000
LONGITUD [M] L= 2
COSENO A= 1
SENO A= 0
M= 823.5677083333
N= 96
O= 0
P= 0
Q= 1.5
R= 1.5
DY3 O`3 DY4
1235.352 1235.352 -1235.352
BARRA 3-4 K3-4= 1235.352 1647.135 -1235.352
-1235.352 -1235.352 1235.352
1235.352 823.568 -1235.352
ENSAMBLADA DE LA MATRIZDY1 O1 DY2 O2
2928.241 2196.181 -2928.241 2196.181
2196.181 2196.181 -2196.181 1098.090
-2928.241 -2196.181 4163.592 -960.829
K= 2196.181 1098.090 -960.829 3843.316
0 0 -1235.352 -1235.352
0 0 1235.352 823.5680 0 0 0
0 0 0 0
0 0 0 0
MATRIZ REDUCIDA
DY2 O2 DY3 O3
4166.592 -960.829 -1235.352 1235.352
-960.829 3843.316 -1235.352 823.568
Kred= -1235.352 -1235.352 240.03 -1235.352
1235.352 823.568 -1235.352 164.135
0.000 0.000 1235.352 0.000
0.000 0.000 1235.352 0.000
IN!ERSA
0.0013604328 0.0013604328 0.0040812985 0.001360433
0.0013604328 0.001815688 0.004991904 0.00181569K-1= 0.0040812985 0.004991904 0.013031839 0.00420429
0.0013604328 0.001815688 0.004204289 0.00424422
−
−−−+−
+−−−
−
+−
=
33
6
2
6
2
6
2
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2
33
36
2
26
2
2'
2
22
2
22
22
2
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-0.002040649 -0.0024959852 -0.008651592 -0.00310214
-0.002040649 -0.0024959852 -0.008651592 -0.00310214
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EN COORDENADAS GLOBALES
O2 D EP
2196.181 DY1 0 1.5
1098.090 O1 0 -0.37
-2196.181 DY2 -0.0228144584 3.5
2196.181 O2 -0.026898822 -0.38
EN COORDENADAS GLOBALES
O3 D EP
1235.352 DY2 -0.0228144584 3.5
823.568 O2 -0.026898822 -0.38
-1235.352 DY3 -0.0923566083 2.9
1647.135 O3 -0.0391625374 0.5
EN COORDENADAS GLOBALES
−
−−−+−
+−−−
−
−+−
−−−+
=
133
2
36
2
6
2
2
36
2
6
2
233
2
36
2
26
2
2
36
2
6
2
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2
22
2
2
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−
−−−+−
+−−−
−
+−
−−+
=
133
36
2
6
2
36
2
6
2
233
36
2
26
2
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2
6
2
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2
22
2
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−+−−− 36
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O4 D EP
1235.352 DY3 -0.0923566083 -2.9
823.568 O`3 0.0455307152 0.4
-1235.352 DY4 0 -0.1
1647.135 O4 0.0479591737 2.4
DY3 O3 O`3 DY4 O4
0 0 0 0 0 DY1
0 0 0 0 0 O1
-1235.352 1235.352 0 0 0 DY2
-1235.352 823.568 0 0 0 O2
240.03 -1235.352 1235.352 -1235.352 1235.352 DY3
-1235.352 164.135 0 0 0 O31235.352 0 164.135 -1235.352 823.568 O`3
-1235.352 0 -1235.352 1235.352 -1235.352 DY4
1235.352 0 823.568 -1235.352 164.135 O4
O`3 O4 F-FEP
0.000 0.000 DY2 -3.5
0.000 0.000 O2 0.38
1235.352 1235.352 DY3 -2.9
0.000 0.000 O3 -0.5
164.135 823.568 O`3 0.4
823.568 164.135 O4 2.4
D
-0.002040649 -0.002040649DY2 -0.022814458"
-0.002495985 -0.002495985O2 -0.026898822RAD-0.008651592 -0.008651592DY3 -0.092356608"
-0.00310214 -0.00310214O3 -0.03916253RAD
−
−+−
−+
−
−−+−
233
1
36
2
6
2
3
36
2
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2
133
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0.005135282 0.003921053 O`3 0.04553015RAD
0.003921053 0.005135282 O4 0.0495914RAD
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K#D $%&'
.3 9.23
21 20
-. -4.2
-9 -9.4
K#D $%&'
4.3 .8
9.35 8.9
-4.3 -1.4
-0. (((
−
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−
−−+
−+−−
23
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−
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−−+−
−+−−−
233
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133
36
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2
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2
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K#D $%&'
1.4 -1.5
0.4 0.8
-1.4 -1.5
2.4 4.8
$UERZAS E)TERNAS
$E* $-$E*
0 1.5 DY1 -1.5
0 -0.3 O1 0.3
0 3.5 DY2 -3.5
0 -0.38 O2 0.38
0 2.9 DY3 -2.9
0 0.5 O3 -0.50 -0.4 O`3 0.4
2 2.1 DY4 -0.1
3 0.6 O4 2.4
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D K#D $=K#D+$E*
0 .31556625 9.231556625
0 20.5633494 20.1933494
-0.022814458 -3.431556625 0.06844335
-0.026898822 0.38 9.65894E-015
-0.092356608 -2.9 -6.261E-014
-0.03916253 -0.5 1.42109E-0140.04553015 0.4 -2.260E-014
0 -1.4 0.
0.0495914 2.4 3
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,+$E*=(+
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DATOS GENERALES BARRA 1 MATRIZ DE RIGIDEZ DE PORTICOS E
AREA[M^2] A= 0.105
INERCIA [M^4] I= 0.001071875
MODULO DE ELASTIC 2530000
LONGITUD [M] L= 1.5
COSENO A= 1
SENO A= 0
M= 3615.7916666667
N= 48.9795918367
O= 0
P= 0
Q= 2.6666666667
R= 2
DY1 O1 DY2
9642.111 7231.583 -9642.111
BARRA 1-2 K12= 7231.583 7231.583 -7231.583
-9642.111 -7231.583 9642.111
7231.583 3615.792 -7231.583
DATOS GENERALES BARRA 2 MATRIZ DE RIGIDEZ DE PORTICOS E
AREA[M^2] A= 0.105
INERCIA [M^4] I= 0.001071875
MODULO DE ELASTIC 2530000
LONGITUD [M] L= 2
COSENO A= 1
SENO A= 0
M= 2711.84375
N= 48.9795918367
O= 0
P= 0
Q= 1.5
R= 1.5
DY2 O`2 DY3
4067.766 4067.766 -4067.766
BARRA 2-3 K2-3= 4067.766 5423.688 -4067.766
-4067.766 -4067.766 4067.766
4067.766 2711.844 -4067.766
DATOS GENERALES BARRA 3 MATRIZ DE RIGIDEZ DE PORTICOS E
AREA[M^2] A= 0.0625
INERCIA [M^4] I= 0.0003255208
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MODULO DE ELASTIC 2530000
LONGITUD [M] L= 2
COSENO A= 1
SENO A= 0
M= 823.5677083333
N= 96
O= 0
P= 0
Q= 1.5
R= 1.5
DY3 O3 DY4
1235.352 1235.352 -1235.352
BARRA 3-4 K3-4= 1235.352 1647.135 -1235.352
-1235.352 -1235.352 1235.352
1235.352 823.568 -1235.352
ENSAMBLADA DE LA MATRIZDY1 O1 DY2 O2
9642.111 231.583 -9642.111 231.583
231.583 231.583 -231.583 3615.92
-9642.111 -231.583 1309.8 -231.583
K= 231.583 3615.92 -231.583 231.583
0 0 406.66 0.000
0 0 -406.66 0.0000 0 406.66 0
0 0 0 0
0 0 0 0
DES*LAZAMIENT INICIAL
0 DY1
0 O1
0 DY2 D= 0 O2 $/=
0 O`2
0 DY3
0 O3
-0.005 DY4
0 O4
MATRIZ REDUCIDA
DY2 O2 O`2 1309.8 -231.583 406.66
-231.583 231.583 0.000
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Kred= 406.66 0.000 5423.688
406.66 0.000 211.844
0 0 0
0.0003259 0.0003259 -0.0002108606
0.0003259 0.0005160082 -0.0002108606
K-1= -0.0002108606 -0.0002108606 0.000349228
-0.00014486 -0.00014486 -1.3413E-005
.243383E-005 .243383E-005 6.06836E-006
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COORDENADAS GLOBALES
O2 D EP
7231.583 DY1 0 2.625
3615.792 O1 0 -0.65625
-7231.583 DY2 -0.0016134515 4.625
7231.583 O2 -0.0017041993 0.65625
COORDENADAS GLOBALES
O3 D EP
4067.766 DY2 -0.0016134515 4.625
2711.844 O`2 0.0015176763 -1
-4067.766 DY3 0 2
5423.688 O3 -0.0002464225 1
COORDENADAS GLOBALES
−
−−−+−
+−−−
−
+−
−−+
=
33
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O4 D EP
1235.352 DY3 0 2
823.568 O3 -0.0002464225 1
-1235.352 DY4 -0.005 0
1647.135 O4 -0.0036267887 0
O`2 DY3 O3 DY4 O4
0 0 0 0 0 DY1
0 0 0 0 0 O1
406.66 -406.66 406.66 0 0 DY2
0.000 0.000 0 0 0 O2
5423.688 -406.66 211.844 0.000 0.000 O`2
-406.66 5303.11 -2832.414 -1235.352 1235.352 DY3211.844 -2832.414 00.823 -1235.352 823.568 O3
0.000 -1235.352 -1235.352 1235.352 -1235.352 DY4
0.000 1235.352 823.568 -1235.352 164.135 O4
0 0
0 0
0 00 $= 0
0 0
6.1658125 0
6.1658125 0
-6.1658125 0
6.1658125 0
O3 O4$-$E*-$/ d
406.66 0 DY2 -4.625 -0.0016135
0.000 0 O2 -0.65625 -0.001042
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211.844 0 O`2 1 0.0015168
00.823 823.568 O3 -.165813 -0.0002464
823.568 164.135 O4 -6.165813 -0.0036268
-0.00014486 .24338E-005
-0.00014486 .24338E-005
-1.3413E-005 6.0684E-006
0.0002441288 -0.000122064
-0.0001220644 0.00066814
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K#D $%&'
3.23 5.86
5.51 4.85
-3.2 1.39
-0. 0
K#D $%&'
-1.4 3.23
1 0
1.39 3.39
-3.8 -2.8
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K#D $%&'
1.39 3.39
2.8 3.8
-1.4 -1.4
((( (((
$UERZAS E)TERNAS
$E* $-$E*-$/
0 2.625 DY1 -2.625
0 -0.65625 O1 0.65625
0 4.625 DY2 -4.625
0 0.65625 O2 -0.65625
0 -1 O`2 1
0 2 DY3 -8.1658130 1 O3 -.165813
0 0 DY4 6.165813
0 0 O4 -6.165813
$-$E*-$/
-2.625
0.65625
-4.625-0.65625
1
-8.1658
-.1658
6.1658
-6.1658
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d d+D Kd+D,
DY1 0 0 3.23301934
O1 0 0 5.50596601
DY2 -0.001613452 -0.001613452 -4.625
O2 -0.00104199 -0.00104199 -0.65625
O`2 0.0015166 0.0015166 1
DY3 0 0 2.839604533O3 -0.000246423 -0.000246423 -1
DY4 0 -0.005 -1.3919802266
O4 -0.00362689 -0.00362689 -8.8818E-016
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$=Kd+D,+$E*
5.8580193
4.84952966
0
0
0
4.839604530
-1.39198022
-8.8818E-016
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