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1. DIMENSIONES Y CARACTERISTICAS DE LOS MIEMBROS MIEMBRO DETALLE BASE(m) ALTURA(m) 1a2 columna 0.40 0.60 5a6 2a3 column
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1. DIMENSIONES Y CARACTERISTICAS DE LOS MIEMBROS MIEMBRO DETALLE BASE(m) ALTURA(m) 1a2 columna 0.40 0.60 5a6 2a3
columna columna
0.40 0.40
0.60 0.60
f'c 210.00
AREA(cm2) 0.24
E(Ton/m2) 2188197.89
I(m4) 0.01
210.00 210.00
0.24 0.24
2188197.89 2188197.89
0.01 0.01
6a7 2a6
columna viga
0.40 0.40
0.60 0.80
210.00 210.00
0.24 0.32
2188197.89 2188197.89
3a4
viga inclinada
0.40
0.60
210.00
0.24
2188197.89
4a7
viga inclinada
0.40
0.60
210.00
0.24
2188197.89
0.01 0.02 0.01
0.01
2. PROPIEDADES DE LOS MIEMBROS
3. FUERZAS DE EMPOTRAMIENTO
pi= MIEMBRO 1a2
3.14 LONGITUD(L) 6.00
θ 90.00
cos 0.00
sen 1.00
sen*cos 0.00
cos^2 0.00
sen^2 1.00
AE(Ton) 525167.49
EI(Ton-m2) 15755.02
5a6
6.00
90.00
0.00
1.00
0.00
0.00
1.00
525167.49
15755.02
AE/L 87527.92 87527.92
2EI/L 5251.67
4EI/L 10503.35
5251.67
10503.35
6EI/L2 2625.84 2625.84
12EI/L3 875.28 875.28
2a3
3.00
90.00
0.00
1.00
0.00
0.00
1.00
525167.49
15755.02
175055.83
10503.35
21006.70
10503.35
7002.23
6a7 2a6 3a4
3.00 8.00 5.00
90.00 0.00 36.87
0.00 1.00 0.80
1.00 0.00 0.60
0.00 0.00 0.48
0.00 1.00 0.64
1.00 0.00 0.36
525167.49 700223.32 525167.49
15755.02 37345.24 15755.02
175055.83 87527.92 105033.50
10503.35 9336.31 6302.01
21006.70 18672.62 12604.02
10503.35 3501.12 3781.21
7002.23 875.28 1512.48
4a7
5.00
-36.87
0.80
-0.60
-0.48
0.64
0.36
525167.49
15755.02
105033.50
6302.01
12604.02
3781.21
1512.48
3.1 PARALELO A LOS EJES GLOBALES X1-2 Y1-2 M1-2 X2-1 Y2-1 M2-1
COLUMNAS -6 0 6 -6 0 -6
X2-3 Y2-3 M2-3 X3-2 Y3-2 M3-2
-3 0 1.5 -3 0 -1.5
3.2 PARALELO A LOS EJES LOCALES 4. PLANTEAMIENTO DE ECUACIONES BARRAS INCLINADAS BARRA 3-4 X'3-4 Y'3-4 M'3-4 X'4-3
0.80 0.60 =
-0.60 -0.80
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
X34 Y34
0.00 0.00
1.00 0.00
0.00 0.80
0.00 -0.60
0.00 0.00
0.00
0.00
0.00
0.60
-0.80
0.00
Y43
6.40
M'4-3
0.00
0.00
0.00
0.00
0.00
1.00
M43
-5.33
X'4-7 Y'4-7 M'4-7 X'7-4
=
Y´7-4
=
X43 Y43 M43
X34 Y34 M34
0.80
-0.60
0.00
0.00
0.00
0.00
-0.80 0.00 0.00
0.00 1.00 0.00
0.00 0.00 0.80
0.00 0.00 -0.60
0.00 0.00 0.00
0.00
0.00
0.60
-0.80
0.00
0.00
0.00
0.00
0.00
1.00
0.00
X34 Y34 M34
0.60 0.00 0.00 0.00
M'7-4
=
2.86
-2.14
0.00
0.00
0.00
0.00
2.14 0.00
-2.86 0.00
0.00 1.00
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00 0.00
0.00 0.00 0.00
0.00 0.00 0.00
2.86 2.14 0.00
-2.14 -2.86 0.00
0.00 0.00 1.00
2.86 2.14 0.00
-2.14 -2.86 0.00
0.00 0.00 1.00
0.00 0.00 0.00
0.00 0.00 0.00
0.00 0.00 0.00
X43 Y43
0.00 0.00
0.00 0.00
0.00 0.00
2.86 2.14
-2.14 -2.86
0.00 0.00
M43
0.00
0.00
0.00
0.00
0.00
1.00
X
0.00 6.40
0.00 0.00
Y'4-3
M34 X43
=
X34 X
0.00
Y34 M34 X43
=
6.40 5.33 0.00
=
13.71 0.00
Y43
6.40
M43
-5.33
0.00 X
5.33 0.00
6.40 5.33 0.00 6.40 -5.33
0.00
0.00 0.00 0.00
BARRA 3-4 X'3-4 Y'3-4 M'3-4 X'4-3 Y'4-3 M'4-3
0 6.4 5.33 0 6.4 -5.33
BARRA 4-7 X'4-7 Y'4-7 M'4-7 X'7-4 Y´7-4 M'7-4
0 6.4 5.33 0 6.4 -5.33
VIGAS X5-6 Y5-6 M5-6 X6-5 Y6-5 M6-5
0 0 0 0 0 0
X6-7 Y6-7 M6-7 X7-6 Y7-6 M7-6
0 0 0 0 0 0
X2-6 Y2-6 M2-6 X6-2 Y6-2 M6-2
0 18.4 25.6 0 21.6 -27.733
pi=
3.14159
ELEMENTOLONGITUD(L)
θ
E=
2000000
KG/CM2
cos
sen
sen*cos
cos^2
sen^2
AREA(cm2)
AE/L
1a2
5
-53.13
0.600
-0.800
-0.48
0.36
0.640
40
16000000.000
1a3
5
53.13
0.600
0.800
0.48
0.36
0.640
40
16000000.000
2a3
8
90
0.000
1.000
0.00
0.00
1.000
50
12500000.000
2a4
6
0
1.000
0.000
-
1.00
0.000
50
16666666.667
3a4
10
-53.13
0.600
-0.800
-0.48
0.36
0.640
40
8000000.000
3a5
6
0
1.000
0.000
-
1.00
0.000
50
16666666.667
4a5
8
90
0.000
1.000
0.00
0.00
1.000
50
12500000.000
4a6
5
53.13
0.600
0.800
0.48
0.36
0.640
40
16000000.000
5a6
5
-53.13
0.600
-0.800
-0.48
0.36
0.640
40
16000000.000
u2 -0.36 0.48 0.36 -0.48 u3 -0.36 -0.48 0.36 0.48 u3 -0.00 -0.00 0.00 0.00 u4 -1.00 1.00 u4 -0.60 0.48 0.36 -0.48
v2 0.48 -0.640 -0.48 0.640 v3 -0.48 -0.640 0.48 0.640 v3 -0.00 -1.000 0.00 1.000 v4 0.000 0.000 v4 0.48 -0.640 -0.48 0.640
X12 Y12 X21 Y21 X13 Y13 X31 Y31 X23 Y23 X32 Y32 X24 Y24 X42 Y42 X34 Y34 X43 Y43
=
160.000
=
160.000
=
125.000
=
166.667
=
80.000
u1 0.36 -0.48 -0.36 0.48 u1 0.36 0.48 -0.36 -0.48 u2 0.00 0.00 -0.00 -0.00 u2 1.00 -1.00 u3 0.36 -0.48 -0.36 0.48
v1 -0.48 0.640 0.480 -0.640 v1 0.48 0.640 -0.480 -0.640 v2 0.00 1.000 0.000 -1.000 v2 0.000 0.000 0.000 v3 -0.48 0.640 0.480 -0.640
x
x
x
x
x
u1 v1 u2 v2 u1 v1 u3 v3 u2 v2 u3 v3 u2 v2 u4 v4 u3 v3 u4 v4
=
=
=
=
=
X35 Y35 X53 Y53 X45 Y45 X54 Y54 X46 Y46 X64 Y64 X56 Y56 X65 Y65
=
166.667
=
125.000
=
160.000
=
160.000
u3 1.00 -1.00 u4 0.00 0.00 -0.00 -0.00 u4 0.36 0.48 -0.36 -0.48 u5 0.36 -0.48 -0.36 0.48
v3 0.000 0.000 0.000 v4 0.00 1.000 0.000 -1.000 v4 0.48 0.640 -0.480 -0.640 v5 -0.48 0.640 0.480 -0.640
u5 -1.00 1.00 u5 -0.00 -0.00 0.00 0.00 u6 -0.36 -0.48 0.36 0.48 u6 -0.36 0.48 0.36 -0.48
v5 0.000 0.000 v5 -0.00 -1.000 0.00 1.000 v6 -0.48 -0.640 0.48 0.640 v6 0.48 -0.640 -0.48 0.640
x
x
x
x
u3 v3 u5 v5 u4 v4 u5 v5 u4 v4 u6 v6 u5 v5 u6 v6
=
=
=
=
AE/L(Ton/cm)
160.000 160.000 125.000 166.667 80.000 166.667 125.000 160.000 160.000
u1 57.6002744 -76.80008 -57.6002744 76.80008 u1 57.6002744 76.80008 -57.6002744 -76.80008 u2 4.6906E-31 7.6572E-15 -4.6906E-31 -7.6572E-15 u2 166.666667 0 -166.666667 0 u3 28.8001372 -38.40004 -28.8001372 38.40004
v1 -76.80008 102.399726 76.80008 -102.399726 v1 76.80008 102.399726 -76.80008 -102.399726 v2 7.6572E-15 125 -7.6572E-15 -125 v2 0 0 0 0 v3 -38.40004 51.1998628 38.40004 -51.1998628
u2 -57.6002744 76.80008 57.6002744 -76.80008 u3 -57.6002744 -76.80008 57.6002744 76.80008 u3 -7.6572E-15 -7.6572E-15 4.6906E-31 7.6572E-15 u4 -166.666667 0 166.666667 0 u4 -48.0001143 38.40004 28.8001372 -38.40004
v2 76.80008 -102.399726 -76.80008 102.399726 v3 -76.80008 -102.399726 76.80008 102.399726 v3 -7.6572E-15 -125 7.6572E-15 125 v4 0 0 0 0 v4 38.40004 -51.1998628 -38.40004 51.1998628
x
x
x
x
x
u1 v1 u2 v2 u1 v1 u3 v3 u2 v2 u3 v3 u2 v2 u4 v4 u3 v3 u4 v4
u3 166.666667 0 -166.666667 0 u4 4.6906E-31 7.6572E-15 -4.6906E-31 -7.6572E-15 u4 57.6002744 76.80008 -57.6002744 -76.80008 u5 57.6002744 -76.80008 -57.6002744 76.80008
v3 0 0 0 0 v4 7.6572E-15 125 -7.6572E-15 -125 v4 76.80008 102.399726 -76.80008 -102.399726 v5 -76.80008 102.399726 76.80008 -102.399726
u5 -166.666667 0 166.666667 0 u5 -4.6906E-31 -7.6572E-15 4.6906E-31 7.6572E-15 u6 -57.6002744 -76.80008 57.6002744 76.80008 u6 -57.6002744 76.80008 57.6002744 -76.80008
v5 0 0 0 0 v5 -7.6572E-15 -125 7.6572E-15 125 v6 -76.80008 -102.399726 76.80008 102.399726 v6 76.80008 -102.399726 -76.80008 102.399726
x
x
x
x
u3 v3 u5 v5 u4 v4 u5 v5 u4 v4 u6 v6 u5 v5 u6 v6
pi=
3.142
ELEMENTO
LONGITUD(L)
1a2 1a3 2a3
X12 Y12 X21 Y21 X13 Y13 X31 Y31 X23 Y23 X32 Y32
X1 Y1 X2 Y2 X3 Y3
E=
2000000
θ
cos
sen
4.000
0.000
1.000
0.000
5.657
45.000
0.707
0.707
4.000
90.000
0.000
1.000
u1 1.000 0.000 -1.000 0.000 u1 0.500 0.500 -0.500 -0.500 u2 0.000 0.000 0.000 0.000
v1 0.000 0.000 0.000 0.000 v1 0.500 0.500 -0.500 -0.500 v2 0.000 1.000 0.000 -1.000
v1 35.354 35.354 0.000 0.000 -35.354 -35.354
u2 -100.000 0.000 100.000 0.000 0.000 0.000
=
100.000
=
70.709
=
100.000
=
u1 135.354 35.354 -100.000 0.000 -35.354 -35.354
u1 v1 u2 v2 u3 v3
u1 v1 u2 v2 u3 v3
140737488355328.000 =
0.019 140737488355328.000 0.000 140737488355328.000 0.000
1.90617E+17 1.94951E+17 1.90617E+17 6.49596E+15 3.79072E+17 6.49596E+15
############ ############ ############ 0.019 ############ ############ ############ 0.000 ############ ############ ############ 0.000
KG/CM2 sen*cos
cos^2
sen^2
AREA(cm2)
AE/L
AE/L(Ton/cm)
0.000
1.000
0.000
20.000
10000000.000
100.000
0.500
0.500
0.500
20.000
7070885.628
70.709
0.000
0.000
1.000
20.000
10000000.000
100.000
u2 -1.000 0.000 1.000 0.000 u3 -0.500 -0.500 0.500 0.500 u3 0.000 0.000 0.000 0.000
v2 0.000 0.000 0.000 0.000 v3 -0.500 -0.500 0.500 0.500 v3 0.000 -1.000 0.000 1.000
v2 0.000 0.000 0.000 100.000 0.000 -100.000
u3 -35.354 -35.354 0.000 0.000 35.354 35.354
x
x
x
v3 -35.354 -35.354 0.000 -100.000 35.354 135.354
u1 v1 u2 v2 u1 v1 u3 v3 u2 v2 u3 v3
X
=
=
=
u1 v1 u2 v2 u3 v3
u1 100.000 0.000 -100.000 0.000 u1 35.354 35.354 -35.354 -35.354 u2 0.000 0.000 0.000 0.000
############ ############ ############ 0.526 ############ 0.453
################ ################ ################ ################ ################ ################
############ ############ ############ 0.453 ############ 0.391
X
15.364 6.364 0.000 0.000 0.000 0.000
v1 0.000 0.000 0.000 0.000 v1 35.354 35.354 -35.354 -35.354 v2 0.000 100.000 0.000 -100.000
140737488355328.000 0.019 140737488355328.000 0.000 140737488355328.000 0.000
u2 -100.000 0.000 100.000 0.000 u3 -35.354 -35.354 35.354 35.354 u3 0.000 0.000 0.000 0.000
v2 0.000 0.000 0.000 0.000 v3 -35.354 -35.354 35.354 35.354 v3 0.000 -100.000 0.000 100.000
x
x
x
u1 v1 u2 v2 u1 v1 u3 v3 u2 v2 u3 v3
######### ######### ## #### ######### 0.019 ## #### ######### ######### ## #### ######### 0.000 ## #### ######### ######### ## #### ######### 0.000 ## ####
1020736170524000.000 1020736170524000.000 1020736170524000.000 0.453 2041472341048000.000 0.391
pi=
3.141592654
E=
LONGITUD(L)
θ
1a2
5
36.87
0.800
0.600
1a3
5
0
1.000
0.000
2a3
8
-36.87
0.800
-0.600
6
0
1.000
0.000
3a4
10
-53.13
0.600
-0.800
3a5
6
0
1.000
0.000
4a5
8
90
0.000
1.000
0.600
0.800
0.600
-0.800
5 5
5a6
X13 Y12 X21 Y21 X23 Y23 X21 Y21 X24 Y24 X42 Y42 X34 Y34 X43 Y43
sen
2a4
4a6
X12 Y12 X21 Y21
cos
200000
ELEMENTO
53.13 -53.13
=
80.000
=
80.000
=
50.000
=
66.667
=
160.000
0.64 0.48 -0.64 -0.48
0.48 0.360 -0.480 -0.360
1.00 -1.00 -
0.000 0.000 0.000
0.64 -0.48 -0.64 0.48
-0.48 0.360 0.480 -0.360
1.00 -1.00 -
0.000 0.000 0.000
0.36 -0.48 -0.36 0.48
-0.48 0.640 0.480 -0.640
KG/CM2 sen*cos
cos^2
sen^2
AREA(cm2)
AE/L
AE/L(Ton/cm)
0.48
0.64
0.360
20
800000.000
80.000
-
1.00
0.000
20
800000.000
80.000
-0.48
0.64
0.360
20
500000.000
50.000
-
1.00
0.000
20
666666.667
66.667
-0.48
0.36
0.640
20
400000.000
40.000
-
1.00
0.000
20
666666.667
66.667
0.00
0.00
1.000
50
1250000.000
125.000
0.48
0.36
0.640
160.000
-0.48
0.36
0.640
40 1600000.000 40 1600000.000
-0.64 -0.48 0.64 0.48
-0.48 -0.360 0.48 0.360
-1.00 1.00 -
0.000 0.000
-0.80 0.48 0.64 -0.48
0.48 -0.360 -0.48 0.360
-1.00 1.00 -
0.000 0.000
-0.60 0.48 0.36 -0.48
0.48 -0.640 -0.48 0.640
x
x
x
x
x
u1 v1 u2 v2 u1 v1 u2 v2 u1 v1 u2 v2 u1 v1 u2 v2 u1 v1 u2 v2
=
=
=
=
=
160.000
51.1998628 38.40004 38.40004 28.8001372 -51.1998628 -38.40004 -38.40004 -28.8001372 80 0 -80 0
0 0 0 0
31.9999143 -24.000025 -24.000025 18.0000857 -31.9999143 24.000025 24.000025 -18.0000857 66.6666667 0 -66.6666667 0
0 0 0 0
57.6002744 -76.80008 -76.80008 102.399726 -57.6002744 76.80008 76.80008 -102.399726
-51.1998628 -38.40004 -38.40004 -28.8001372 51.1998628 38.40004 38.40004 28.8001372 -80 0 80 0
0 0 0 0
-39.9999464 24.000025 24.000025 -18.0000857 31.9999143 -24.000025 -24.000025 18.0000857 -66.6666667 0 66.6666667 0
0 0 0 0
-96.0002287 76.80008 76.80008 -102.399726 57.6002744 -76.80008 -76.80008 102.399726
x
x
x
x
x
u1 v1 u2 v2 u1 v1 u2 v2 u1 v1 u2 v2 u1 v1 u2 v2 u1 v1 u2 v2