analisis estructural
DESCRIPTION
ANALIISIS ESRCTURALTRANSCRIPT
SOLUCIN DE PORTICOS EN SP 2000 Y EXCEL
PRESENTADO POR:Andrs Felipe Rincn
PRESENTADO A:Ronald Jess pea Prez
ASIGNATURA:ANALISIS ESTRUCTURAL II
Universidad Cooperativa de ColombiaSede Medelln2015
Uso: residencialColumnas=0.4 m * 0.4 mVigas= 0.30 x 0.40 m (norma NSR 10 ttulo B)Concreto densidad= 2400 kg/m^3Fc= 23 MpaEspesor de la losa = 0.15 cm
Vigas: Carga por peso de concreto:
w= 2400 kg/m^3 * 9.81 m/s^2= 23.544 KN/m^3w= 23544 N/m^3*(0.30*0.40) = 28.544 KN/m
CARGAS MUERTAS PRESENTES REQUERIDAS POR LA NORMA
EN LA VIGA 1
w= 23544 N/m^3*(0.30*0.40) = 2825.28 N/mW =2825.28 N/m *1.2 = 3390.336 N/mw=3390.336 k /m*1.2w= 4068.40 k/m
La dividimos entre mil para obtener la carga en kN/m Viga 1= w = = 4.06 KN/mEN LA VIGA 2w= 23.544 *(5m*0.15m)w = 17.65kN / m
CARGA MUERTA PRODUCIDA POR ELEMENTOS VERTICALES NO ESTRUCTURALES: 3.8 KN/m^2 * (b * h) / bW = 3.8 KN/m^2 * 6m* 3 m / 6 mW = 3.8 KN/m^2 * 3 mW = 11.4kN / mCARGA MUERTA POR PESO PROPIO DE MATERIAL w= 23.544 kn/m^3*(0.30*0.40) = 2.82 kN/m
TOTAL CARGAS MUERTAS PRESENTES EN LA VIGA 2W= (2.82 kN /m+11.4 kN / m+17.65 kN / m)W= 31.87 kN / m
CARGAS VIVAS REQUERIDAS POR LA NORMA EN LA VIGA 2
w= w = (2 K n / m^2)*(6 m)w = 12 k N / mw = 12 kn / m * 1.6 W = 19.2 k N / m
CARGAS TOTALES PRESENTES CARGAS VIVAS +CARGAS MUERTASW = (19.2kN / m+31.87 k N / m) W = 51.07 k N / m
Viga Nocarga
14.06 kn/m
251.07 kn/m
SOLUCIN POR EXCEL PORTICO #2
Grados de libertad y restricciones
MOMENTOS DE EMPOTRAMIENTO
Tramo 2-5
Solucin de Elementos o Tramos
2F Emp5F Emp
110
2165.7811165.78
3165.7812-165.78
Tramo 5-8Solucin de Elementos o Tramos
5F Emp8F Emp
1016
11221.0417221.04
12294.7218-294.72
Tramo 3-6Solucin de Elementos o Tramos
3F Emp6F Emp
47
510.2810.2
610.29-10.2
Tramo 6-9Solucin de Elementos o Tramos
6F Emp9F Emp
713
813.61413.6
918.1315-18.13
CORDENADAS, REAS, MODULO DE ELASTICIDAD, INERCIA, ANGULO Y LONGITUD DE CADA ELEMENTO
Elementos Coordenadas globalesGRADOS DE LIBERTAD INICIALGRADOS DE LIBERTAD FINAL
NODONODOX iY iX fY fXYXYAreaModulo EInerciaLANGULOSENOCOSE
1200031920211011120.162.25E+072.13E-0339010
4703061011121230.162.25E+072.13E-0339010
2560632223241314150.162.25E+072.13E-0339010
5863661314154560.162.25E+072.13E-0339010
361401432526271617180.162.25E+072.13E-0339010
691431461617187890.162.25E+072.13E-0339010
4503631011121314150.122.25E+071.60E-036001
56631431314151617180.122.25E+071.60E-038001
7806661234560.122.25E+071.60E-036001
89661464567890.122.25E+071.60E-038001
Fuerzas de empotramientoTramo 4-5Solucion de Elementos o Tramos
4F Emp5F Emp
1013
11153.2114153.21
12153.2115-153.21
Tramo 5-6Solucion de Elemenrtos o Tramos
5F Emp6F Emp
1316
14204.2817204.28
15272.3718-272.37
Tramo 7-8Solucion de Elemenrtos o Tramos
7F Emp8F Emp
14
212.18512.18
312.186-12.18
Tramo 8-9Solucion de Elemenrtos o Tramos
8F Emp9F Emp
47
516.24816.24
621.769-21.76
FUERZAR Y DESPLAZAMIENTOS QUE ACTAN EN LA ESTRUCTURAFuerzasDesplazamEmp
0U10
0U212.18
0U312.18
0U40
0U528.42
0U69.58
0U70
0U816.24
0U9-21.76
0U100
0U11153.21
0U12153.21
0U130
0U14357.49
0U15119.16
0U160
0U17204.28
0U18-272.37
F1900
F2000
F2100
F2200
F2300
F2400
F2500
F2600
F2700
MATRIZ DE RIGIDEZ PARA CADA ELEMENTO192021101112
1921371.64630-32057.4694-21371.64630-32057.4694
2001202155.100-1202155.10
21-32057.4694064114.938832057.4694032057.4694
k 1-2=10-21371.6463032057.469421371.6463032057.4694
110-1202155.1001202155.10
12-32057.4694032057.469432057.4694064114.9388
101112123
1021371.64630-32057.4694-21371.64630-32057.4694
1101202155.100-1202155.10
12-32057.4694064114.938832057.4694032057.4694
k 4-71-21371.6463032057.469421371.6463032057.4694
20-1202155.1001202155.10
3-32057.4694032057.469432057.4694064114.9388
222324131415
2221371.64630-32057.4694-21371.64630-32057.4694
2301202155.100-1202155.10
24-32057.4694064114.938832057.4694032057.4694
k 2-513-21371.6463032057.469421371.6463032057.4694
140-1202155.1001202155.10
15-32057.4694032057.469432057.4694064114.9388
131415456
1321371.64630-32057.4694-21371.64630-32057.4694
1401202155.100-1202155.10
15-32057.4694064114.938832057.4694032057.4694
k 5-84-21371.6463032057.469421371.6463032057.4694
50-1202155.1001202155.10
6-32057.4694032057.469432057.4694064114.9388
252627161718
2521371.64630-32057.4694-21371.64630-32057.4694
2601202155.100-1202155.10
27-32057.4694064114.938832057.4694032057.4694
k 3-616-21371.6463032057.469421371.6463032057.4694
170-1202155.1001202155.10
18-32057.4694032057.469432057.4694064114.9388
161718789
1621371.64630-32057.4694-21371.64630-32057.4694
1701202155.100-1202155.10
18-32057.4694064114.938832057.4694032057.4694
k 6-97-21371.6463032057.469421371.6463032057.4694
80-1202155.1001202155.10
9-32057.4694032057.469432057.4694064114.9388
101112131415
10450808.16300-450808.16300
1102003.591846010.775510-2003.591846010.77551
1206010.7755124043.1020-6010.7755112021.551
k 4-513-450808.16300450808.16300
140-2003.59184-6010.7755102003.59184-6010.77551
1506010.7755112021.5510-6010.7755124043.102
131415161718
13338106.12200-338106.12200
140845.2653063381.061220-845.2653063381.06122
1503381.0612218032.32650-3381.061229016.16326
k 5-616-338106.12200338106.12200
170-845.265306-3381.061220845.265306-3381.06122
1803381.061229016.163260-3381.0612218032.3265
123456
1450808.16300-450808.16300
202003.591846010.775510-2003.591846010.77551
306010.7755124043.1020-6010.7755112021.551
k 7-84-450808.16300450808.16300
50-2003.59184-6010.7755102003.59184-6010.77551
606010.7755112021.5510-6010.7755124043.102
456789
43.38E+0500-338106.12200
50845.2653063381.061220-845.2653063381.06122
603381.0612218032.32650-3381.061229016.16326
k 8-97-338106.12200338106.12200
80-845.265306-3381.061220845.265306-3381.06122
903381.061229016.163260-3381.0612218032.3265
MATRIZ GENERAL123456789101112131415161718192021222324252627
472180032057-45080800000-213720320570000000000000001
0120415960110-200460110000-120215500000000000000002
320576011881580-601112022000-320570320570000000000000003
-45080800810286032057-33810600000-213720320570000000000004
0-2004-601101205004-26300-84533810000-120215500000000000005
060111202232057-26301061900-33819016000-320570320570000000000006
000-33810600359478032057000000-213720320570000000007
0000-845-338101203000-33810000000-120215500000000008
00003381901632057-338182147000000-320570320570000000009
-213720-3205700000049355100-45080800000-2137203205700000010
0-120215500000000240631460110-200460110000-1202155000000011
32057032057000000060111522730-601112022000-3205703205700000012
000-213720-32057000-4508080083165800-33810600000-2137203205700013
0000-120215500000-2004-601102407159-26300-84533810000-1202155000014
K=0003205703205700006011120220-26301703050-33819016000-3205703205700015
000000-213720-32057000-3381060038084900000000-2137203205716
0000000-120215500000-845-338102405155-33810000000-1202155017
000000320570320570000338190160-3381146262000000-3205703205718
000000000-213720-32057000000213720-3205700000019
0000000000-1202155000000001202155000000020
00000000032057032057000000-3205706411500000021
000000000000-213720-32057000000213720-3205700022
0000000000000-1202155000000001202155000023
00000000000032057032057000000-3205706411500024
000000000000000-213720-32057000000213720-3205725
0000000000000000-1202155000000001202155026
00000000000000032057032057000000-3205706411527
FUERZA123456789101112131415161718192021222324252627DESPLEmp
0472180032057-45080800000-21372032057000000000000000U10
00120415960110-200460110000-12021550000000000000000U212.18
0320576011881580-601112022000-32057032057000000000000000U312.18
0-45080800810286032057-33810600000-21372032057000000000000U40
00-2004-601101205004-26300-84533810000-12021550000000000000U528.42
0060111202232057-26301061900-33819016000-32057032057000000000000U69.58
0000-33810600359478032057000000-21372032057000000000U70
00000-845-338101203000-33810000000-12021550000000000U816.24
0=00003381901632057-338182147000000-32057032057000000000U9-21.76
0-213720-3205700000049355100-45080800000-21372032057000000U100
00-120215500000000240631460110-200460110000-12021550000000U11153.21
032057032057000000060111522730-601112022000-32057032057000000U12153.21
0000-213720-32057000-4508080083165800-33810600000-21372032057000U130
00000-120215500000-2004-601102407159-26300-84533810000-12021550000U14357.49
00003205703205700006011120220-26301703050-33819016000-32057032057000U15119.16
0000000-213720-32057000-3381060038084900000000-21372032057U160
00000000-120215500000-845-338102405155-33810000000-12021550U17+204.28
0000000320570320570000338190160-3381146262000000-32057032057U18-272.37
F19000000000-213720-32057000000213720-3205700000000
F200000000000-1202155000000001202155000000000
F2100000000032057032057000000-3205706411500000000
F22000000000000-213720-32057000000213720-3205700000
F230000000000000-1202155000000001202155000000
F2400000000000032057032057000000-3205706411500000
F25000000000000000-213720-32057000000213720-3205700
F260000000000000000-1202155000000001202155000
F2700000000000000032057032057000000-3205706411500
MATRIZ INVERSA123456789101112131415161718F empo
U111.0E-044.2E-07-1.5E-051.0E-04-1.8E-07-1.1E-051.0E-04-2.4E-07-1.5E-054.1E-052.9E-07-1.7E-054.1E-05-1.2E-07-1.5E-054.1E-05-1.7E-07-1.8E-050
U224.2E-071.7E-06-1.8E-074.2E-074.6E-09-1.4E-074.1E-07-1.6E-09-7.4E-081.1E-078.3E-07-7.7E-081.1E-072.8E-09-7.2E-081.1E-07-9.9E-10-6.9E-08-12.18
U33-1.5E-05-1.8E-071.6E-05-1.4E-051.4E-078.1E-07-1.4E-053.9E-083.7E-06-1.6E-06-9.5E-08-4.6E-07-2.2E-066.9E-082.5E-06-2.5E-062.6E-082.2E-06-12.18
U441.0E-044.2E-07-1.4E-051.0E-04-1.7E-07-1.1E-051.0E-04-2.4E-07-1.6E-054.1E-052.9E-07-1.7E-054.1E-05-1.2E-07-1.5E-054.1E-05-1.7E-07-1.8E-050
U55-1.8E-074.6E-091.4E-07-1.7E-071.7E-065.7E-08-1.6E-073.2E-09-4.0E-08-4.0E-082.8E-093.8E-08-4.5E-088.3E-073.0E-08-5.3E-081.9E-092.4E-08-28.42
U66-1.1E-05-1.4E-078.1E-07-1.1E-055.7E-081.2E-05-1.1E-058.1E-081.3E-06-2.0E-06-7.3E-082.2E-06-1.7E-063.1E-08-4.6E-07-2.0E-064.3E-082.1E-06-9.58
U771.0E-044.1E-07-1.4E-051.0E-04-1.6E-07-1.1E-051.0E-04-2.5E-07-1.6E-054.1E-052.8E-07-1.7E-054.1E-05-1.1E-07-1.5E-054.1E-05-1.7E-07-1.8E-050
U88-2.4E-07-1.6E-093.9E-08-2.4E-073.2E-098.1E-08-2.5E-071.7E-061.1E-07-6.6E-08-9.9E-103.9E-08-6.4E-081.9E-094.2E-08-6.1E-088.3E-074.6E-08-16.24
U9=9-1.5E-05-7.4E-083.7E-06-1.6E-05-4.0E-081.3E-06-1.6E-051.1E-071.8E-05-2.6E-06-4.9E-082.3E-06-2.4E-06-1.1E-082.6E-06-1.5E-066.0E-08-5.2E-0721.76
U10104.1E-051.1E-07-1.6E-064.1E-05-4.0E-08-2.0E-064.1E-05-6.6E-08-2.6E-062.8E-058.8E-08-7.8E-062.6E-05-3.5E-08-6.3E-062.6E-05-5.3E-08-8.0E-060
U11112.9E-078.3E-07-9.5E-082.9E-072.8E-09-7.3E-082.8E-07-9.9E-10-4.9E-088.8E-088.3E-07-6.9E-088.9E-081.9E-09-6.2E-089.1E-08-6.5E-10-4.8E-08-153.21
U1212-1.7E-05-7.7E-08-4.6E-07-1.7E-053.8E-082.2E-06-1.7E-053.9E-082.3E-06-7.8E-06-6.9E-081.0E-05-7.6E-064.2E-082.0E-06-7.5E-062.7E-083.1E-06-153.21
U13134.1E-051.1E-07-2.2E-064.1E-05-4.5E-08-1.7E-064.1E-05-6.4E-08-2.4E-062.6E-058.9E-08-7.6E-062.7E-05-3.7E-08-6.4E-062.6E-05-5.2E-08-8.0E-060
U1414-1.2E-072.8E-096.9E-08-1.2E-078.3E-073.1E-08-1.1E-071.9E-09-1.1E-08-3.5E-081.9E-094.2E-08-3.7E-088.3E-072.6E-08-4.0E-081.3E-096.8E-09-357.49
U1515-1.5E-05-7.2E-082.5E-06-1.5E-053.0E-08-4.6E-07-1.5E-054.2E-082.6E-06-6.3E-06-6.2E-082.0E-06-6.4E-062.6E-088.5E-06-6.3E-063.6E-082.2E-06-119.16
U16164.1E-051.1E-07-2.5E-064.1E-05-5.3E-08-2.0E-064.1E-05-6.1E-08-1.5E-062.6E-059.1E-08-7.5E-062.6E-05-4.0E-08-6.3E-062.8E-05-5.1E-08-8.2E-060
U1717-1.7E-07-9.9E-102.6E-08-1.7E-071.9E-094.3E-08-1.7E-078.3E-076.0E-08-5.3E-08-6.5E-102.7E-08-5.2E-081.3E-093.6E-08-5.1E-088.3E-074.1E-08-204.28
U1818-1.8E-05-6.9E-082.2E-06-1.8E-052.4E-082.1E-06-1.8E-054.6E-08-5.2E-07-8.0E-06-4.8E-083.1E-06-8.0E-066.8E-092.2E-06-8.2E-064.1E-081.1E-05272.37
RESULTADOS DesplazamientosU1-0.00042264
U2-0.00014482
U30.00022141
U4-0.0004808
U5-0.00034979
U60.00019615
U7-0.00062021
U8-0.0001947
U9-0.00046346
U10-0.00023821
U11-0.00013226
U12-0.00091639
U13-0.0002565
U14-0.00032944
U15-0.00069904
U16-0.00030153
U17-0.00018033
U180.00214626
FuerzasF1934.468
F20158.996
F21-37.013
F2227.891
F23396.037
F24-30.632
F25-62.359
F26216.788
F2759.137
MONTAJE EN SAP 2000Prtico 2
RESULTADOS
Anlisis de resultadosFUERZASSAPEXCEL
F1934.46833.733
F20158.996158.735
F21-37.01335.504
F2227.89127.274
F23396.037396.468
F24-30.63229.389
F25-62.359-61.007
F26216.788216.617
F2759.137-56.191