Analisi de viguetas aligeradas Matriz Global
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![Page 1: Analisi de viguetas aligeradas Matriz Global](https://reader033.fdocuments.in/reader033/viewer/2022061108/544e0b7eb1af9fc4628b46cd/html5/thumbnails/1.jpg)
DATOSB= 0.3 v1 Ɵ1 v2 Ɵ2 v1H= 0.6 2200.9 4401.8 -2200.9 4401.8 v1 2200.9i= 0.0054 4401.8 11738.0 -4401.8 5869.0 Ɵ1 4401.8f´c= 210 k12= -2200.9 -4401.8 2200.9 -4401.8 v2 k= -2200.9E= 2173706.512 4401.8 5869.0 -4401.8 11738.0 Ɵ2 4401.8EI= 11738.01516 v2 Ɵ2 v3 Ɵ3 0L1= 4 1126.8 2817.1 -1126.8 2817.1 v2 0L2= 5 2817.1 9390.4 -2817.1 4695.2 Ɵ2
k23= -1126.8 -2817.1 1126.8 -2817.1 v32817.1 4695.2 -2817.1 9390.4 Ɵ3
![Page 2: Analisi de viguetas aligeradas Matriz Global](https://reader033.fdocuments.in/reader033/viewer/2022061108/544e0b7eb1af9fc4628b46cd/html5/thumbnails/2.jpg)
Ɵ1 v2 Ɵ2 v3 Ɵ34401.8 -2200.9 4401.8 0 0 v1
11738.0 -4401.8 5869.0 0 0 Ɵ1-4401.8 3327.7 -1584.6 -1126.8 2817.1 v25869.0 -1584.6 21128.4 -2817.1 4695.2 Ɵ2
0 -1126.8 -2817.1 1126.8 -2817.1 v30 2817.1 4695.2 -2817.1 9390.4 Ɵ3
![Page 3: Analisi de viguetas aligeradas Matriz Global](https://reader033.fdocuments.in/reader033/viewer/2022061108/544e0b7eb1af9fc4628b46cd/html5/thumbnails/3.jpg)
DATOSB= 0.3 v1 Ɵ1 v2 Ɵ2 v1H= 0.6 1545.7 3477.9 -1545.7 3477.9 v1 1545.7i= 0.0054 3477.9 10433.8 -3477.9 5216.9 Ɵ1 3477.9f´c= 210 k12= -1545.7 -3477.9 1545.7 -3477.9 v2 k= -1545.7E= 2173706.51 3477.9 5216.9 -3477.9 10433.8 Ɵ2 3477.9EI= 11738.0152 v2 Ɵ2 v3 Ɵ3 0L1= 4.5 1126.8 2817.1 -1126.8 2817.1 v2 0L2= 5 2817.1 9390.4 -2817.1 4695.2 Ɵ2 0L3= 4 k23= -1126.8 -2817.1 1126.8 -2817.1 v3 0
2817.1 4695.2 -2817.1 9390.4 Ɵ3v3 Ɵ3 v4 Ɵ4
2200.9 4401.8 -2200.9 4401.8 v34401.8 11738.0 -4401.8 5869.0 Ɵ3
k23= -2200.9 -4401.8 2200.9 -4401.8 v44401.8 5869.0 -4401.8 11738.0 Ɵ4
Ɵ1 Ɵ2 Ɵ3M1 10433.8 5216.9 0 Ɵ1 1.0125M2 5216.9 19824.2 4695.2 Ɵ2 0.5643M3 0 4695.2 21128.4 Ɵ3 -0.5643
Ɵ1 Ɵ2 Ɵ3Y1 3477.9 3477.9 0 V1 1.0125Y2 -3477.9 -660.8 2817.1 V2 3.5125Y3 0 -2817.1 1584.6 V3 4.863Y4 0 0 -4401.8 V4 1.0125M4 0 0 5869.0 Ɵ4 -1.0125
![Page 4: Analisi de viguetas aligeradas Matriz Global](https://reader033.fdocuments.in/reader033/viewer/2022061108/544e0b7eb1af9fc4628b46cd/html5/thumbnails/4.jpg)
Ɵ1 v2 Ɵ2 v3 Ɵ3 V4 Ɵ43477.9 -1545.7 3477.9 0 0 0 0 v1
10433.8 -3477.9 5216.9 0 0 0 0 Ɵ1-3477.9 2672.6 -660.8 -1126.8 2817.1 0 0 v25216.9 -660.8 19824.2 -2817.1 4695.2 0 0 Ɵ2
0 -1126.8 -2817.1 3327.7 1584.6 -2200.9 4401.8 v30 2817.1 4695.2 1584.6 21128.4 -4401.8 5869.0 Ɵ30 0 0 -2200.9 -4401.8 2200.9 -4401.8 V40 0 0 4401.8 5869.0 -4401.8 11738.0 Ɵ4
MINV DESPLA0.000111 -3.09E-05 6.87E-06 9.13687611E-05-3.09E-05 6.183E-05 -1.37E-05 1.13434164E-05
0.0 0.0 5.038E-05 -2.9228852E-05
0.357226 1.4-0.407611 3.1-0.078273 4.80.128658 1.1
-0.171544 -1.2
![Page 5: Analisi de viguetas aligeradas Matriz Global](https://reader033.fdocuments.in/reader033/viewer/2022061108/544e0b7eb1af9fc4628b46cd/html5/thumbnails/5.jpg)
PRACTICA DE ESTRUCTURAS II
ALUMNO: ING. JOSE G ARICA NECIOSUPDOCENTE: ING SEGUNDO PAICO GASCOFECHA : AGOSTO 2012
w= 2.5 t
w= 3.0 t/m
4.00 mts 5.00 mts 3.00 mt
Calculo de Momentos de empotramiento
2.5 2.534
1 2 2 5 3 3 3 4
Calculo de Momentos 1-2 Calculo de Momentos 2-3 Calculo de Momentos 3-4
M1-2 = 4.0000 M 2-3 = 2.0833 M 3-4 = 1.1250M2-1 = -4.0000 M 3-2 = -3.1250 M 4-3= -0.7500Y 1= 6.0000 Y2 = 1.8750 Y3 2.6250Y2= 6.0000 Y3= 4.3750 Y4 1.1250
Calculo de MatricesMATRIZ GLOBAL
B= 0.3000 v1 Ɵ1 v2 Ɵ2 v1 Ɵ1 v2 Ɵ2 v3 Ɵ3 V4 Ɵ4H= 0.6000 2200.8778 4401.7557 -2200.8778 4401.7557 v1 2200.8778 4401.7557 -2200.8778 4401.7557 0.0000 0.0000 0.0000 0.0000 v1I = 0.0054 TRAMO 1-2 4401.7557 11738.0152 -4401.7557 5869.0076 Ɵ1 4401.7557 11738.0152 -4401.7557 5869.0076 0.0000 0.0000 0.0000 0.0000 Ɵ1f´c= 210.0000 k12= -2200.8778 -4401.7557 2200.8778 -4401.7557 v2 k= -2200.8778 -4401.7557 3327.7273 -1584.6320 -1126.8495 2817.1236 0.0000 0.0000 v2E= 2173706.5119 4401.7557 5869.0076 -4401.7557 11738.0152 Ɵ2 4401.7557 5869.0076 -1584.6320 21128.4273 -2817.1236 4695.2061 0.0000 0.0000 Ɵ2
EI= 11738.0152 v2 Ɵ2 v3 Ɵ3 0.0000 0.0000 -1126.8495 -2817.1236 6343.7451 5008.2198 -5216.8956 7825.3434 v3L1= 4.0000 1126.8495 2817.1236 -1126.8495 2817.1236 v2 0.0000 0.0000 2817.1236 4695.2061 5008.2198 25041.0990 -7825.3434 7825.3434 Ɵ3L2= 5.0000 TRAMO 2-3 2817.1236 9390.4121 -2817.1236 4695.2061 Ɵ2 0.0000 0.0000 0.0000 0.0000 -5216.8956 -7825.3434 5216.8956 -7825.3434 V4L3= 3.0000 k23= -1126.8495 -2817.1236 1126.8495 -2817.1236 v3 0.0000 0.0000 0.0000 0.0000 7825.3434 7825.3434 -7825.3434 15650.6869 Ɵ4
2817.1236 4695.2061 -2817.1236 9390.4121 Ɵ3
v3 Ɵ3 v4 Ɵ45216.8956 7825.3434 -5216.8956 7825.3434 v3
TRAMO 3-4 7825.3434 15650.6869 -7825.3434 7825.3434 Ɵ3k34= -5216.8956 -7825.3434 5216.8956 -7825.3434 v4
7825.3434 7825.3434 -7825.3434 15650.6869 Ɵ4
Ɵ2 Ɵ3 v4 Ɵ4M2=0 21128.4273 4695.2061 0.0000 0.0000 Ɵ2 M2= 1.9167M3=0 4695.2061 25041.0990 -7825.3434 7825.3434 Ɵ3 M3= 2.0000Y4=0 0.0000 -7825.3434 5216.8956 -7825.3434 v4 Y4= -1.1250
![Page 6: Analisi de viguetas aligeradas Matriz Global](https://reader033.fdocuments.in/reader033/viewer/2022061108/544e0b7eb1af9fc4628b46cd/html5/thumbnails/6.jpg)
M4=0 0.0000 7825.3434 -7825.3434 15650.6869 Ɵ4 M4= 0.7500
Calculo de desplazamientos
0.0001 0.0000 -0.0001 0.0000 M2= 1.91670.0000 0.0001 0.0004 0.0001 * M3= 2.0000
-0.0001 0.0004 0.0018 0.0007 Y4= -1.12500.0000 0.0001 0.0007 0.0004 M4= 0.7500
Ɵ2 0.0001Ɵ3 -0.0001v4 -0.0010Ɵ4 -0.0004
Determinacion de fuerzas y momentos desconocidos
Ɵ2 Ɵ3 v4 Ɵ4Y1 4401.7557 0.0000 0.0000 0.0000 v1 M2= 0.0001 6.0000M1 5869.0076 0.0000 0.0000 0.0000 Ɵ1 M3= -0.0001 4.0000
Y2 -1584.6320 2817.1236 0.0000 0.0000 Y4= -0.0010 + 7.8750Y3 -2817.1236 5008.2198 -5216.8956 7825.3434 v3 M4= -0.0004 7.0000
Y1 0.5225 6.0000
M1 0.6966 + 4.0000Y2 -0.5428 7.8750Y3 1.1453 7.0000
Y1 6.5225M1 4.6966Y2 7.3322 22.0000Y3 8.1453
REACCIONES
v2 *
![Page 7: Analisi de viguetas aligeradas Matriz Global](https://reader033.fdocuments.in/reader033/viewer/2022061108/544e0b7eb1af9fc4628b46cd/html5/thumbnails/7.jpg)
CORTANTES
MOMENTOS
![Page 8: Analisi de viguetas aligeradas Matriz Global](https://reader033.fdocuments.in/reader033/viewer/2022061108/544e0b7eb1af9fc4628b46cd/html5/thumbnails/8.jpg)
1.5 21.5
41 2 2 4 3 3 5 4
Calculo de Momentos 1-2 Calculo de Momentos 2-3 Calculo de Momentos 3-4
M1-2 = 2.0000 M 2-3 = 2.0000 M 3-4 = 4.1667M2-1 = -2.0000 M 3-2 = -2.0000 M 4-3= -4.1667Y 1= 3.0000 Y2 = 3.0000 Y3 5.0000Y2= 3.0000 Y3= 3.0000 Y4 5.0000
Calculo de MatricesMATRIZ GLOBAL
B= 0.3000 v1 Ɵ1 v2 Ɵ2 v1 Ɵ1 v2 Ɵ2 v3 Ɵ3 V4 Ɵ4H= 0.6000 2200.8778 4401.7557 -2200.8778 4401.7557 v1 2200.8778 4401.7557 -2200.8778 4401.7557 0.0000 0.0000 0.0000 0.0000 v1I = 0.0054 TRAMO 1-2 4401.7557 11738.0152 -4401.7557 5869.0076 Ɵ1 4401.7557 11738.0152 -4401.7557 5869.0076 0.0000 0.0000 0.0000 0.0000 Ɵ1f´c= 210.0000 k12= -2200.8778 -4401.7557 2200.8778 -4401.7557 v2 k= -2200.8778 -4401.7557 4401.7557 0.0000 -2200.8778 4401.7557 0.0000 0.0000 v2E= 2173706.5119 4401.7557 5869.0076 -4401.7557 11738.0152 Ɵ2 4401.7557 5869.0076 0.0000 23476.0303 -4401.7557 5869.0076 0.0000 0.0000 Ɵ2
EI= 11738.0152 v2 Ɵ2 v3 Ɵ3 0.0000 0.0000 -2200.8778 -4401.7557 3327.7273 -1584.6320 -1126.8495 2817.1236 v3L1= 4.0000 2200.8778 4401.7557 -2200.8778 4401.7557 v2 0.0000 0.0000 4401.7557 5869.0076 -1584.6320 21128.4273 -2817.1236 4695.2061 Ɵ3L2= 4.0000 TRAMO 2-3 4401.7557 11738.0152 -4401.7557 5869.0076 Ɵ2 0.0000 0.0000 0.0000 0.0000 -1126.8495 -2817.1236 1126.8495 -2817.1236 V4L3= 5.0000 k23= -2200.8778 -4401.7557 2200.8778 -4401.7557 v3 0.0000 0.0000 0.0000 0.0000 2817.1236 4695.2061 -2817.1236 9390.4121 Ɵ4
4401.7557 5869.0076 -4401.7557 11738.0152 Ɵ3
v3 Ɵ3 v4 Ɵ41126.8495 2817.1236 -1126.8495 2817.1236 v3
TRAMO 3-4 2817.1236 9390.4121 -2817.1236 4695.2061 Ɵ3k34= -1126.8495 -2817.1236 1126.8495 -2817.1236 v4
2817.1236 4695.2061 -2817.1236 9390.4121 Ɵ4
Ɵ1 Ɵ2 Ɵ3 Ɵ4M1=0 11738.0152 5869.0076 0.0000 0.0000 Ɵ1 M1= -2.0000M2=0 5869.0076 23476.0303 5869.0076 0.0000 Ɵ2 M2= 0.0000M3=0 0.0000 5869.0076 21128.4273 4695.2061 Ɵ3 M3= -2.1667M4=0 0.0000 0.0000 4695.2061 9390.4121 Ɵ4 M4= 4.1667
Calculo de desplazamientos
0.0001 0.0000 0.0000 0.0000 M1= -2.0000M2 0.0000 0.0001 0.0000 0.0000 * M2= 0.0000
0.0000 0.0000 0.0001 0.0000 M3= -2.16670.0000 0.0000 0.0000 0.0001 M4= 4.1667
Ɵ1 -0.00023261Ɵ2 0.00012445Ɵ3 -0.00026518
![Page 9: Analisi de viguetas aligeradas Matriz Global](https://reader033.fdocuments.in/reader033/viewer/2022061108/544e0b7eb1af9fc4628b46cd/html5/thumbnails/9.jpg)
Ɵ4 0.00057631
Determinacion de fuerzas y momentos desconocidos
v1 v2 v3 V4Y1 2200.8778 -2200.8778 0.0000 0.0000 v1 Ɵ1 -0.0002 3.0000Y2 -2200.8778 4401.7557 -2200.8778 0.0000 v2 Ɵ2 0.0001 6.0000
Y3 0.0000 -2200.8778 3327.7273 -1126.8495 v3 Ɵ3 -0.0003 + 8.0000Y4 0.0000 0.0000 -1126.8495 1126.8495 V4 Ɵ4 0.0006 5.0000
Y1 -0.7858 3.0000
Y2 1.6434 + 6.0000Y3 -1.8058 8.0000Y4 0.9482 5.0000
Y1 2.2142Y2 7.6434Y3 6.1942 22.0000Y4 5.9482
REACCIONES
MOMENTOS
![Page 10: Analisi de viguetas aligeradas Matriz Global](https://reader033.fdocuments.in/reader033/viewer/2022061108/544e0b7eb1af9fc4628b46cd/html5/thumbnails/10.jpg)
DATOSB= 0.3 v1 Ɵ1 v2 Ɵ2H= 0.6 18996433.8 18521522.9 -18996433.8 18521522.9i= 0.0054 18521522.9 24077979.8 -18521522.9 12038989.9f´c= 2.10E+02 k12= -18996433.8 -18521522.9 18996433.8 -18521522.9E= 2.17E+09 18521522.9 12038989.9 -18521522.9 24077979.8EI= 11738015.2 v2 Ɵ2 v3 Ɵ3L1= 1.95 11576903.3 13313438.7 -11576903.3 13313438.7L2= 2.3 13313438.7 20413939.4 -13313438.7 10206969.7L3= 1.35 k23= -11576903.3 -13313438.7 11576903.3 -13313438.7L4= 2.3 13313438.7 10206969.7 -13313438.7 20413939.4L5= 1.95 v3 Ɵ3 v4 Ɵ4
57249883.4 38643671.3 -57249883.4 38643671.338643671.3 34779304.2 -38643671.3 17389652.1
k34= -57249883.4 -38643671.3 57249883.4 -38643671.338643671.3 17389652.1 -38643671.3 34779304.2
v4 Ɵ4 v5 Ɵ511576903.3 13313438.7 -11576903.3 13313438.713313438.7 20413939.4 -13313438.7 10206969.7
k45= -11576903.3 -13313438.7 11576903.3 -13313438.713313438.7 10206969.7 -13313438.7 20413939.4
v5 Ɵ5 v6 Ɵ618996433.8 18521522.9 -18996433.8 18521522.918521522.9 24077979.8 -18521522.9 12038989.9
k56= -18996433.8 -18521522.9 18996433.8 -18521522.918521522.9 12038989.9 -18521522.9 24077979.8
Calculo de desplazamiento
Ɵ2 Ɵ3 Ɵ4 Ɵ5M2=0 44491919.24 10206969.7 0.0 0.0M3=0 10206969.71 55193243.61 17389652.10 0.0M4=0 0.0 17389652.1 55193243.61 10206969.7M5=0 0.0 0.0 10206969.7 44491919.24
Ɵ2 2.35926856E-08 -4.867641E-09 1.60158843E-09 -3.67423229E-10Ɵ3 = -4.86764096E-09 2.1217922E-08 -6.9812829E-09 1.60158843E-09Ɵ4 1.60158843E-09 -6.9812829E-09 2.12179221E-08 -4.86764096E-09Ɵ5 -3.67423229E-10 1.6015884E-09 -4.867641E-09 2.35926856E-08
![Page 11: Analisi de viguetas aligeradas Matriz Global](https://reader033.fdocuments.in/reader033/viewer/2022061108/544e0b7eb1af9fc4628b46cd/html5/thumbnails/11.jpg)
Ɵ2 -1.9348413E-07Ɵ3 3.5793976E-07Ɵ4 -3.58027274E-07Ɵ5 1.93616587E-07
![Page 12: Analisi de viguetas aligeradas Matriz Global](https://reader033.fdocuments.in/reader033/viewer/2022061108/544e0b7eb1af9fc4628b46cd/html5/thumbnails/12.jpg)
v1 Ɵ1 v2 Ɵ2v1 18996433.79 18521522.94 -18996433.79 18521522.94Ɵ1 18521522.94 24077979.82 -18521522.94 12038989.91v2 k= -18996433.79 -18521522.94 30573337.05 -5208084.19Ɵ2 18521522.94 12038989.91 -5208084.19 44491919.24
0.00 0.00 -11576903.26 -13313438.75v2 0.00 0.00 13313438.75 10206969.71Ɵ2 0.00 0.00 0.00 0.00v3 0.00 0.00 0.00 0.00Ɵ3 0.00 0.00 0.00 0.00
0.00 0.00 0.00 0.00v3 0 0 0 0Ɵ3 0 0 0 0v4Ɵ4
v4Ɵ4v5Ɵ5
v5Ɵ5v6Ɵ6
Ɵ2 M2= -4.96Ɵ3 M3= 11.56Ɵ4 M4= -11.56Ɵ5 M5= 4.96
-1M2= -4.96M3= 11.56M4= -11.56M5= 4.96
![Page 13: Analisi de viguetas aligeradas Matriz Global](https://reader033.fdocuments.in/reader033/viewer/2022061108/544e0b7eb1af9fc4628b46cd/html5/thumbnails/13.jpg)
v3 Ɵ3 V4 Ɵ4 v5 Ɵ5 v60.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00
-11576903.26 13313438.75 0.00 0.00 0.00 0.00 0.00-13313438.75 10206969.71 0.00 0.00 0.00 0.00 0.0068826786.70 25330232.57 -57249883.44 ### 0.00 0.00 0.0025330232.57 55193243.61 -38643671.32 ### 0.00 0.00 0.00
-57249883.44 -38643671.32 68826786.70 ### ### ### 0.0038643671.32 17389652.10 -25330232.57 ### ### ### 0.00
0.00 0.00 -11576903.26 ### ### 5208084.19 ###0.00 0.00 13313438.75 ### 5208084.19 ### ###
0 0 0 0 -18996433.8 -18521522.9 18996433.80 0 0 0 18521522.9 12038989.9 -18521522.9
![Page 14: Analisi de viguetas aligeradas Matriz Global](https://reader033.fdocuments.in/reader033/viewer/2022061108/544e0b7eb1af9fc4628b46cd/html5/thumbnails/14.jpg)
Ɵ60.00 v10.00 Ɵ10.00 v20.00 Ɵ20.00 v30.00 Ɵ30.00 V40.00 Ɵ4### v5### Ɵ5
-18521522.9 v624077979.8 Ɵ6
![Page 15: Analisi de viguetas aligeradas Matriz Global](https://reader033.fdocuments.in/reader033/viewer/2022061108/544e0b7eb1af9fc4628b46cd/html5/thumbnails/15.jpg)
TRABAJO DE ESTRUCTURAS II
ALUMNO . ING JOSE G ARICA NECIOSUPDOCENTE: ING SEGUNDO PAICO GASCO
Calculo de reacciones momentos y desplazamiento de una vigueta de losa aligerada,
1.95 2.3 1.35 2.3 1.95
9.85
M1 M2=0 M3=0 M4=0 M5=0 M6
1.95 2.3 1.35 2.3 1.951 2 3 4 5 6
9.85
R1 R2 R3 R4 R5 R6V1=0 V2=0 V3=0 V4=0 V5=0 V6=0Ɵ1=0 Ɵ2 Ɵ3 Ɵ4 Ɵ5 Ɵ6=0
![Page 16: Analisi de viguetas aligeradas Matriz Global](https://reader033.fdocuments.in/reader033/viewer/2022061108/544e0b7eb1af9fc4628b46cd/html5/thumbnails/16.jpg)
CALCULOS PRELIMINARES
DATOSB= v1 Ɵ1 v2 Ɵ2 v1 Ɵ1 v2 Ɵ2 v3H= 373948.3 364599.6 -373948.3 364599.6 v1 373948.32 364599.61 -373948.32 364599.61 0.00i= 0.0001063 364599.6 473979.5 -364599.6 236989.7 Ɵ1 364599.61 473979.49 -364599.61 236989.75 0.00f´c= 2.10E+02 k12= -373948.3 -364599.6 373948.3 -364599.6 v2 k= -373948.32 -364599.61 601841.80 -102522.10 -227893.48E= 2.17E+09 364599.6 236989.7 -364599.6 473979.5 Ɵ2 364599.61 236989.75 -102522.10 875831.67 -262077.51EI= 231065.002 v2 Ɵ2 v3 Ɵ3 0.00 0.00 -227893.48 -262077.51 1354868.04L1= 1.95 227893.5 262077.5 -227893.5 262077.5 v2 0.00 0.00 262077.51 200926.09 498630.32L2= 2.3 262077.5 401852.2 -262077.5 200926.1 Ɵ2 0.00 0.00 0.00 0.00 -1126974.56L3= 1.35 k23= -227893.5 -262077.5 227893.5 -262077.5 v3 0.00 0.00 0.00 0.00 760707.83L4= 2.3 262077.5 200926.1 -262077.5 401852.2 Ɵ3 0.00 0.00 0.00 0.00 0.00L5= 1.95 v3 Ɵ3 v4 Ɵ4 0.00 0.00 0.00 0.00 0.00
1126974.6 760707.8 -1126974.6 760707.8 v3 0 0 0 0 0760707.8 684637.0 -760707.8 342318.5 Ɵ3 0 0 0 0 0
k34= -1126974.6 -760707.8 1126974.6 -760707.8 v4760707.8 342318.5 -760707.8 684637.0 Ɵ4
v4 Ɵ4 v5 Ɵ5227893.5 262077.5 -227893.5 262077.5 v4262077.5 401852.2 -262077.5 200926.1 Ɵ4
k45= -227893.5 -262077.5 227893.5 -262077.5 v5262077.5 200926.1 -262077.5 401852.2 Ɵ5
v5 Ɵ5 v6 Ɵ6373948.3 364599.6 -373948.3 364599.6 v5364599.6 473979.5 -364599.6 236989.7 Ɵ5
k56= -373948.3 -364599.6 373948.3 -364599.6 v6364599.6 236989.7 -364599.6 473979.5 Ɵ6
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Calculo de desplazamiento
Ɵ2 Ɵ3 Ɵ4 Ɵ5M2=0 875831.67 200926.1 0.0 0.0 Ɵ2 M2= -4.955M3=0 200926.09 1086489.22 342318.52 0.0 Ɵ3 M3= 11.555M4=0 0.0 342318.5 1086489.22 200926.1 Ɵ4 M4= -11.560M5=0 0.0 0.0 200926.1 875831.67 Ɵ5 M5= 4.960
-1Ɵ2 1.19849955E-06 -2.4727433E-07 8.13600898E-08 -1.86649618E-08 M2= -4.955Ɵ3 = -2.47274329E-07 1.07786246E-06 -3.5464655E-07 8.136008975E-08 M3= 11.555Ɵ4 8.13600898E-08 -3.5464655E-07 1.07786246E-06 -2.47274329E-07 M4= -11.560Ɵ5 -1.86649618E-08 8.13600898E-08 -2.4727433E-07 1.198499552E-06 M5= 4.960
Ɵ2 -9.8289E-06Ɵ3 1.8183E-05Ɵ4 -1.8188E-05Ɵ5 9.8356E-06
Resultado con SAP 2000 v14TABLE: Joint Displacements
Joint OutputCase CaseType U1 U2 U3 R1 R2 R3Text Text Text m m m Radians Radians Radians
1 DEAD LinStatic 0.00 0.00 0.00 0.00 0.00 0.002 DEAD LinStatic 0.00 0.00 0.00 0.00 9.94E-06 0.003 DEAD LinStatic 0.00 0.00 0.00 0.00 -1.80E-05 0.004 DEAD LinStatic 0.00 0.00 0.00 0.00 1.80E-05 0.00
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5 DEAD LinStatic 0.00 0.00 0.00 0.00 -9.94E-06 0.006 DEAD LinStatic 0.00 0.00 0.00 0.00 0.00 0.00
Determinacion de reacciones y momentos en cada tramo
TRAMO 1-2 MATRIZ PARCIAL TRAMO ROTACIONES MOMENTOS EMPOTRAMIENTOS
v1 Ɵ1 v2 Ɵ2R12= 373948.3 364599.6 -373948.3 364599.6 v1 0.0 39.000M12= + 364599.6 473979.5 -364599.6 236989.7 Ɵ1 * 0.0 + 12.675R21= -373948.3 -364599.6 373948.3 -364599.6 v2 0.0 39.000M21 364599.6 236989.7 -364599.6 473979.5 Ɵ2 -9.8289E-06 -12.675
R12= -3.58362075443 39.000M12= -2.32935349038 + 12.675R21= 3.583620754434 39.000M21 -4.65870698076 -12.675
R12= 35.41637924557M12= 10.34564650962R21= 42.58362075443M21 -17.3337069808
TRAMO 2-3 MATRIZ PARCIAL TRAMO ROTACIONES MOMENTOS EMPOTRAMIENTOS
v2 Ɵ2 v3 Ɵ3R23= 227893.4845579 262077.507242 -227893.484558 262077.5072416 v2 0.000 46.000M23= 262077.5072416 401852.17777 -262077.507242 200926.0888852 Ɵ2 * -9.8289E-06 + 17.630R32= -227893.484558 -262077.50724 227893.4845579 -262077.507242 v3 0.000 46.000M32= 262077.5072416 200926.088885 -262077.507242 401852.1777704 Ɵ3 1.8183E-05 -17.630
R23= 2.189469959547 46.000M23= -0.29629301924 17.630R32= -2.18946995955 46.000M32= 5.332073926195 -17.630
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R23= 48.18946995955M23= 17.33370698076R32= 43.81053004045M32= -12.2979260738
TRAMO 3-4
MATRIZ PARCIAL TRAMO ROTACIONES MOMENTOS EMPOTRAMIENTOS
v3 Ɵ3 v4 Ɵ4R34= 1126974.557381 760707.826232 -1126974.55738 760707.8262321 v3 0.000 27.000M34= 760707.8262321 684637.043609 -760707.826232 342318.5218044 Ɵ3 * 1.8183E-05 + 6.075R43= -1126974.55738 -760707.82623 1126974.557381 -760707.826232 v4 0.000 27.000M43= 760707.8262321 342318.521804 -760707.826232 684637.0436089 Ɵ4 -1.8188E-05 -6.075
R34= -0.00338184133 27.000M34= 6.222926073805 + 6.075R43= 0.003381841334 27.000M43= -6.22749155961 -6.075
R34= 26.99661815867M34= 12.2979260738R43= 27.00338184133M43= -12.3024915596
TRAMO 4-5
MATRIZ PARCIAL TRAMO ROTACIONES MOMENTOS EMPOTRAMIENTOS
v4 Ɵ4 v5 Ɵ5R45= 227893.4845579 262077.507242 -227893.484558 262077.5072416 v4 0.000 46.000M45= 262077.5072416 401852.17777 -262077.507242 200926.0888852 Ɵ4 * -1.8188E-05 + 17.630R54= -227893.484558 -262077.50724 227893.4845579 -262077.507242 v5 0.0000 46.000M54= 262077.5072416 200926.088885 -262077.507242 401852.1777704 Ɵ5 9.8356E-06 -17.630
R45= -2.18887161213 46.000
![Page 20: Analisi de viguetas aligeradas Matriz Global](https://reader033.fdocuments.in/reader033/viewer/2022061108/544e0b7eb1af9fc4628b46cd/html5/thumbnails/20.jpg)
M45= -5.33250844039 + 17.630R54= 2.188871612126 46.000M54= 0.298103732504 -17.630
R45= 43.81112838787M45= 12.29749155961R54= 48.18887161213M54= -17.3318962675
TRAMO 5-6 MATRIZ PARCIAL TRAMO ROTACIONES MOMENTOS EMPOTRAMIENTOS
v5 Ɵ5 v6 Ɵ6R56= 373948.3169461 364599.609022 -373948.316946 364599.6090225 v5 0.0000 39.000M56= 364599.6090225 473979.491729 -364599.609022 236989.7458646 Ɵ5 9.8356E-06 + 12.670R65= -373948.316946 -364599.60902 373948.3169461 -364599.609022 v6 * 0.0000 39.000M65= 364599.6090225 236989.745865 -364599.609022 473979.4917292 Ɵ6 0.0000 -12.670
R56= 3.58607405192 39.000M56= 4.661896267496 + 12.670R65= -3.58607405192 39.000M65= 2.330948133748 -12.670
R56= 42.58607405192M56= 17.3318962675R65= 35.41392594808M65= -10.3390518663
RESULTADOS FINALES TABLE: Joint ReactionsJoint OutputCase CaseType F1 F2 F3 M1 M2 M3
M1= 10.345647 Text Text Text Kgf Kgf Kgf Kgf-m Kgf-m Kgf-mM2= 0.000000 1 DEAD LinStatic 0.00000 35.52000 0.00000 -10.46000 0.00000 0.00000M3= 0.000000 2 DEAD LinStatic 0.00000 0.00000 90.62000 0.00000 0.00000 0.00000M4= -0.005000 3 DEAD LinStatic 0.00000 0.00000 70.87000 0.00000 0.00000 0.00000M5= 0.000000 4 DEAD LinStatic 0.00000 0.00000 70.87000 0.00000 0.00000 0.00000M6 -10.339052 5 DEAD LinStatic 0.00000 0.00000 90.62000 0.00000 0.00000 0.00000R1= 35.416379 6 DEAD LinStatic 0.00000 -35.52000 0.00000 10.46000 0.00000 0.00000R2= 90.773091R3= 70.813912
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R4= 70.814510R5= 90.774946R6= 35.413926
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Ɵ3 V4 Ɵ4 v5 Ɵ5 v6 Ɵ60.00 0.00 0.00 0.00 0.00 0.00 0.00 v10.00 0.00 0.00 0.00 0.00 0.00 0.00 Ɵ1
262077.51 0.00 0.00 0.00 0.00 0.00 0.00 v2200926.09 0.00 0.00 0.00 0.00 0.00 0.00 Ɵ2498630.32 -1126974.56 760707.83 0.00 0.00 0.00 0.00 v3
1086489.22 -760707.83 342318.52 0.00 0.00 0.00 0.00 Ɵ3-760707.83 1354868.04 -498630.32 -227893.48 262077.51 0.00 0.00 V4342318.52 -498630.32 1086489.22 -262077.51 200926.09 0.00 0.00 Ɵ4
0.00 -227893.48 -262077.51 601841.80 102522.10 -373948.32 364599.61 v50.00 262077.51 200926.09 102522.10 875831.67 -364599.61 236989.75 Ɵ5
0 0 0 -373948.3 -364599.6 373948.3 -364599.6 v60 0 0 364599.6 236989.7 -364599.6 473979.5 Ɵ6
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