Kl-portico-2-2.xlsx
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CALCULO DE MATRIZ RIGIDEZ LATERAL DE CAD
MEDIDAS DE LAS COMPONENTES DEL PORTICO PARTE DE PLACA I EI
1,039,422 cm⁴ 239067148173.663
COLUMNA 1er NIVEL
COLUMNA 2do Y 3ERNIVEL
VIGA 1
VIGA 2
LONGITUD ESPESOR ANCHO PERALTE
400 cm 30 cm 30 cm
300 cm 30 cm 30 cm
550 cm
650 cm
E IC
230,000 kg/cm² 67,500 cm⁴
230,000 kg/cm² 67,500 cm⁴
30 cm 60 cm 230,000 kg/cm²
30 cm 60 cm 230,000 kg/cm²
540,000 cm⁴
540,000 cm⁴
124200000000
124200000000
IV E*I
15525000000
15525000000
D1 = 1 ; D2 = D3 = D4 = D5 = D6 = D7 = D8 = D9 = D10 = D11 = D12 =0
K1-1
K31
K2-1 K3-1
((6)(𝐸)(𝐼_𝐶))/(𝐿
K4-1
K21
((6)(𝐸)(𝐼_𝐶))/(𝐿
K5-1
K6-1 ((6)(𝐸)(𝐼_𝐶))/(𝐿 K7-1
K11
K11
K8-1 K9-1 K10-1 K11-1 K12-1
D2 = 1 ; D1 = D3 = D4 = D5 = D6 = D7 = D8 = D9 = D10 = D11 = D12 =0
K32
K1-2 K2-2 K3-2 K4-2
K22
K5-2 K6-2 K7-2
K12
K8-2 K9-2 K10-2 K11-2 K12-1
D3 = 1 ; D1 = D2 = D4 = D5 = D6 = D7 = D8 = D9 = D10 = D11 = D12 =0
K33
K1-3 K2-3 K3-3
K23
K4-3 K5-3 K6-3
K13
K7-3 K8-3 K9-3 K10-3 K11-3 K12-3
D4 = 1 ; D1 = D2 = D3 = D5 = D6 = D7 = D8 = D9 = D10 = D11 = D12 =0
K34
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )−
K1-4 K2-4 K3-4
(4(𝐸)(𝐼_𝐶))/𝐿_1𝐶 +(4(�)(�_� K 4-4
K24
K5-4 K6-4 K7-4
K14
K14
K8-4 K9-4 K10-4 K11-4 K12-4
D5 = 1 ; D1 = D2 = D3 = D4 = D6 = D7 = D8 = D9 = D10 = D11 = D12 =0
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )−
K1-5
K35
K2-5 K3-5 K4-5
K25
(4(�)(�_�))/�_1� +(4(�)(�_�
K5-5 K6-5 K7-5
K15
K8-5 K9-5 K10-5 K11-5 K12-5
D6 = 1 ; D1 = D2 = D3 = D4 = D5 = D7 = D8 = D9 = D10 = D11 = D12 =0
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )−
K1-6
K36
K2-6 K3-6 K4-6
K26
K5-6
(4(𝐸)(𝐼_𝑃))/𝐿_1𝑃 +(4(𝐸)(𝐼_𝑃)
K6-6 K7-6
K16
K8-6 K9-6 K10-6 K11-6 K12-6
D7 = 1 ; D1 = D2 = D3 = D4 = D5 = D6 = D8 = D9 = D10 = D11 = D12 =0
K37
K1-7 K2-7 K3-7
K27
K4-7 K5-7 K6-7
K17
K7-7
(8(�)(�_�))/�_2� +
K17 K8-7 K9-7 K10-7 K11-7 K12-7
D8 = 1 ; D1 = D2 = D3 = D4 = D5 = D6 = D7 = D9 = D10 = D11 = D12 =0
K1-8
K38
K2-8 K3-8 K4-8
K28
K5-8 K6-8 K7-8
K18
K8-8 K9-8 K10-8 K11-8 K12-8
D9 = 1 ; D1 = D2 = D3 = D4 = D5 = D6 = D7 = D8 = D10 = D11 = D12 =0
K1-9
K39
K2-9 K3-9 K4-9
K29
K5-9 K6-9 K7-9
K19
K8-9
(8(𝐸)(𝐼_𝑃))/𝐿_2𝑃 +(4( K9-9
K10-9 K11-9 K12-9
D10 = 1 ; D1 = D2 = D3 = D4 = D5 = D6 = D7 = D8 = D9 = D11 = D12 =0
K3-10
K1-10 K2-10 K3-10
K2-10
K4-10 K5-10 K6-10
K1-10
K7-10
K1-10
K8-10 K9-10 K10-10 K11-10 K12-10
D11 = 1 ; D1 = D2 = D3 = D4 = D5 = D6 = D7 = D8 = D9 = D10 = D12 =0
K1-11
K3-11
K2-11 K3-11 K4-11
K2-11
K5-11 K6-10 K7-11
K1-11
K8-11 K9-11 K10-11 K11-11 K12-11
D12 = 1 ; D1 = D2 = D3 = D4 = D5 = D6 = D7 = D8 = D9 = D10 = D11 =0
(4(𝐸)(𝐼_𝐶))/𝐿_2𝐶 +
K1-12
K3-12
K2-12 K3-12 K4-12
K2-12
K5-12 K6-12 K7-12
K1-12
K8-12 K9-12 K10-12 K11-12 K12-12
(4(𝐸)(𝐼_𝑃))/𝐿_3𝑃 +
EMSAMBLAJE DE LA MATRI 170.70 T*cm
[K]
DE DONDE:
=
-120.05 T*cm
0 T*cm
453 T*cm
453 T*cm
6,973 T*cm
-120.05 T*cm
240.10 T*cm
-120.05 T*cm
-1,035 T*cm
-1,035 T*cm
-15,938 T*cm
0.00 T*cm
-120.05 T*cm
120.05 T*cm
0 T*cm
0 T*cm
0 T*cm
452.81 T*cm
-1,035.00 T*cm
0 T*cm
1,265,523 T*cm
451,636 T*cm
0 T*cm
452.81 T*cm
-1,035.00 T*cm
0 T*cm
451,636 T*cm
3,697,411 T*cm
382,154 T*cm
-7,930.02 T*cm
-15,937.81 T*cm
0 T*cm
0 T*cm
382,154 T*cm
6,342,541 T*cm
1,035.00 T*cm
0.00 T*cm
-1,035 T*cm
103,500 T*cm
0 T*cm
0 T*cm
1,035.00 T*cm
0.00 T*cm
-1,035 T*cm
0 T*cm
103,500 T*cm
0 T*cm
15,937.81 T*cm
0.00 T*cm
-15,938 T*cm
0 T*cm
0 T*cm
1,593,781 T*cm
0.00 T*cm
1,035.00 T*cm
-1,035 T*cm
0 T*cm
0 T*cm
0 T*cm
0.00 T*cm
1,035.00 T*cm
-1,035 T*cm
0 T*cm
0 T*cm
0 T*cm
0.00 T*cm
15,937.81 T*cm
-15,938 T*cm
0 T*cm
0 T*cm
0 T*cm
[K11]
[K12]
[K21]
[K22]
[K22]-1
=
=
=
=
=
170.70 T*cm
-120.05 T*cm
0 T*cm
-120.05 T*cm
240.10 T*cm
-120.05 T*cm
0 T*cm
-120.05 T*cm
120.05 T*cm
453 T*cm
453 T*cm
6,973 T*cm
1,035 T*cm
1,035 T*cm
15,938 T*cm
-1,035 T*cm
-1,035 T*cm
-15,938 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
-1,035 T*cm
-1,035 T*cm
-15,938 T*cm
453 T*cm
-1,035.00 T*cm
0 T*cm
453 T*cm
-1,035.00 T*cm
0 T*cm
0 T*cm
-7,930 T*cm
-15,937.81 T*cm
0 T*cm
1,035.00 T*cm
0 T*cm
-1,035.00 T*cm
1,035.00 T*cm
0 T*cm
-1,035.00 T*cm
15,937.81 T*cm
0 T*cm
-15,937.81 T*cm
0 T*cm
1,035.00 T*cm
-1,035.00 T*cm
0 T*cm
1,035.00 T*cm
-1,035.00 T*cm
0 T*cm
15,937.81 T*cm
-15,937.81 T*cm
1,265,523 T*cm
451,636 T*cm
0 T*cm
103,500 T*cm
0 T*cm
451,636 T*cm
3,697,411 T*cm
382,154 T*cm
0 T*cm
103,500 T*cm
0 T*cm
0 T*cm
382,154 T*cm
6,342,541 T*cm
0 T*cm
0 T*cm
1,593,781 T*cm
103,500 T*cm
0 T*cm
0 T*cm
1,317,273 T*cm
451,636 T*cm
0 T*cm
0 T*cm
103,500 T*cm
0 T*cm
451,636 T*cm
2,081,580 T*cm
382,154 T*cm
0 T*cm
0 T*cm
1,593,781 T*cm
0 T*cm
382,154 T*cm
7,139,432 T*cm
0 T*cm
0 T*cm
0 T*cm
103,500 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
103,500 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
1,593,781 T*cm
8.3301124345 -1.0309316273 -1.0309316273 2.855017413 0.0700883888 -0.1865047335 -0.7375883605 0.1472243685
0.0700883888 -0.7375883605 0.2204013272 -0.0317258169 -0.1865047335 0.1472243685 -0.1864020893 0.0576353101 1.6943509378 -0.0431510083 0.1007481204 -0.4236573588 -0.0431510083 8.3762604362 -1.8815162025 0.1364206805
0.2204013272 -0.1864020893 -0.0317258169 0.0576353101 0.0956245436 -0.0294421269 -0.066046337 0.0386396443
0.1007481204 -1.8815162025 5.3252422202 -0.3562376689 -0.4236573588 0.1364206805 -0.3562376689 1.672148618 0.0394781003 -1.0407526379 0.4887479253 -0.1500457436 -0.0871615571 0.6389572181 -0.7703245199 0.3375993803
0.0191817726 -0.0269807355
[KL]2
=
0.17928885
136.436
-96.045
22.539
-131.924 28.328
131.835 -57.821
-57.821 38.779
-0.116806647
0.2181618764
-0.7070206795
ERAL DE CADA PORTICO [KL]-PORTICO EJE 2-2 5 6 7 8 9 10 11 12
6 11 0 5 10 0 5 10
4 4 7 M10 7 7 10 10 10 M7
M11
M12 FL3
M8
M9 FL2
M4
M5
M6 FL1
1 2
0 5
0x 0x
apoyos x x x x
3
10
0x
x
4 5 6 7
1 6 11 0
4 4 4 7
8
1
x
5 7 FORMULA ACUMULADA
(2(12)(𝐸)(𝐼_𝐶))/(𝐿_1𝐶^3 )+(2(12)(𝐸)(𝐼_𝐶))/ 10(�_( 1𝑃)^3 )+((12)(�) (𝐿_2𝐶^3 )+((12)(�)(�_�))/ (�_�))/(�_( 2�)^3 ) −2(12)(E)(I_C )/(L_2C^3 ) − (12) (E)(I_P )/(L_2P^3 ) 5
VALOR 170.70 T*cm
-120.05 T*cm
0
0 T*cm
((6)(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )−((6)(𝐸)(𝐼_𝐶))/(𝐿_1𝐶^2 )
453 T*cm
((6)(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )−((6)(𝐸)(𝐼_𝐶))/(𝐿_1𝐶^2 )
((6)(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )−((6)(𝐸)(𝐼_𝑃))/(𝐿_1𝑃^2 ) ((6)(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
10
453 T*cm
-7,930 T*cm
1,035 T*cm
2
0 5
1 6
0 0
4 4
0 5
10
11
0
4
10
1 6 11 0
0 5 10 0
4 4 4 7
7 7 7 10
#N/A #N/A #N/A #N/A
5 10
5 10
7 7
10 10
#N/A 0
0
5
10
10
0
0
10
10
10
5
10
0
10
10
0
7
((6)(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
11
1,035 T*cm
((6)(𝐸)(𝐼_𝑃))/(𝐿_2𝑃^2 )
12
15,938 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
0
7
8 5 7 FORMULA ACUMULADA
VALOR
−2(12)(E)(I_C )/(L_2C^3 ) − (12)(E)(I_P 10 )/(L_2P^3 )
(4(12)(E)(I_C))/(L_2C^3 ) 5 +(2(12)(E)(I_p))/ (L_( 2P)^3 ) −2(12)(E)(I_C )/(L_3C^3 ) − (12) (E)(I_P )/(L_3P^3 )
-120.05 T*cm
240.10 T*cm
-120.05 T*cm
−((6)(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
-1,035 T*cm
−((6)(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
-1,035 T*cm
−((6)(𝐸)(𝐼_𝐶))/(𝐿_2𝑃^2 )
-15,938 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
((6)(𝐸)(𝐼_𝐶))/(𝐿_3𝐶^2 )
1,035 T*cm
((6)(𝐸)(𝐼_𝐶))/(𝐿_3𝐶^2 )
1,035 T*cm
((6)(𝐸)(𝐼_𝐶))/(𝐿_3𝑃^2 )
15,938 T*cm
7
0
7
8
5
7
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
FORMULA ACUMULADA
VALOR
0
0 T*cm
−(2(12)(�)(�_�))/(�_3�^3 )−((12)(�) (�_𝑃))/(�_3𝑃^3 )
(2(12)(�)(�_�))/(�_3�^3 )+((12)(�) (�_𝑃))/(�_3𝑃^3 )
-120 T*cm
120 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
−((6)(𝐸)(𝐼_𝐶))/(𝐿_3𝐶^2 )
-1,035 T*cm
−((6)(𝐸)(𝐼_𝐶))/(𝐿_3𝐶^2 )
-1,035 T*cm
−((6)(𝐸)(𝐼_𝑃))/(𝐿_3𝑃^2 )
-15,938 T*cm
−((6)(𝐸)(𝐼_𝐶))/(𝐿_3𝐶^2 )
-1,035 T*cm
−((6)(𝐸)(𝐼_𝐶))/(𝐿_3𝐶^2 )
-1,035 T*cm
−((6)(𝐸)(𝐼_𝑃))/(𝐿_3𝑃^2 )
-15,938 T*cm
7
0
VALOR
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )−(6(𝐸)(𝐼_𝐶))/(𝐿_1𝐶^2 )
453 T*cm
0
-1,035 T*cm
0 T*cm
(4(𝐸)(𝐼_𝐶))/𝐿_1𝐶 +(4(�)(�_�))/�_2� +(4(�)(�_�))/� _1� 1,265,523 T*cm (2(�)(�_�))/�_1�
451,636 T*cm
0
0 T*cm
(2(�)(�_�))/�_2�
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
7
8 5 7 FORMULA ACUMULADA
−(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
0
103,500 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
7
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
7
8 5 7 FORMULA ACUMULADA
VALOR
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )−(6(𝐸)(𝐼_𝐶))/(𝐿_1𝐶^2 )
453 T*cm
−(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
-1,035 T*cm
0
0 T*cm
(2(�)(�_�))/�_1�
451,636 T*cm
(4(�)(�_�))/�_1� +(4(�)(�_�))/�_2� +(4(�)(�_�))/�_1� +(4(�)(�_2�))/�_2�
3,697,411 T*cm
(2(𝐸)(𝐼_2�))/𝐿_2�
382,154 T*cm
0
0 T*cm
(2(�)(�_�))/�_2�
103,500 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
7
0
7
8
5
7
FORMULA ACUMULADA
VALOR
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )−(6(𝐸)(𝐼_𝑃))/(𝐿_1𝑃^2 )
6,973 T*cm
−(6(𝐸)(𝐼_𝐶))/(𝐿_2𝑃^2 )
-15,938 T*cm
0
0 T*cm
0
0 T*cm
(2(𝐸)(𝐼_2�))/𝐿_2�
382,154 T*cm
(4(𝐸)(𝐼_𝑃))/𝐿_1𝑃 +(4(𝐸)(𝐼_𝑃))/𝐿_2𝑃 +(4(𝐸)(𝐼_2�))/𝐿_2� 6,342,541 T*cm
0
0 T*cm
0
0 T*cm
(2(𝐸)(𝐼_𝑃))/𝐿_2𝑃
1,593,781 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
7
0
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
7
8 5 7 FORMULA ACUMULADA
VALOR
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
1,035 T*cm
0
0 T*cm
−(6(𝐸)(𝐼_𝐶))/(𝐿_3𝐶^2 )
-1,035 T*cm
(2(𝐸)(𝐼_𝐶))/𝐿_2𝐶
103,500 T*cm
0
0 T*cm
0
0 T*cm
(8(�)(�_�))/�_2� +(4(�)(�_�))/�_1�
1,317,273 T*cm
(2(𝐸)(𝐼_�))/𝐿_1�
451,636 T*cm
0
0 T*cm
(2(𝐸)(𝐼_𝐶))/𝐿_3𝐶
103,500 T*cm
0
0 T*cm
0
0 T*cm
7
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
7
8 5 7 FORMULA ACUMULADA
VALOR
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
1,035 T*cm
0
0 T*cm
−(6(𝐸)(𝐼_𝐶))/(𝐿_3𝐶^2 )
-1,035 T*cm
0
0 T*cm
(2(𝐸)(𝐼_𝐶))/𝐿_2𝐶
103,500 T*cm
0
0 T*cm
(2(𝐸)(𝐼_�))/𝐿_1�
451,636 T*cm
2 (4(𝐸)(𝐼_𝐶))/𝐿_2𝐶 +(4(𝐸) (𝐼_�))/𝐿_1� +(4(�)(�_2�))/�_2�
2,081,580 T*cm
(2(𝐸)(𝐼_2�))/𝐿_2�
382,154 T*cm
0
0 T*cm
(2(𝐸)(𝐼_𝐶))/𝐿_3𝐶
103,500 T*cm
0
0 T*cm
7
0
7
8
5
7
FORMULA ACUMULADA
VALOR
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝑃^2 )
15,938 T*cm
0
0 T*cm
−(6(𝐸)(𝐼_𝐶))/(𝐿_2𝑃^2 )
-15,938 T*cm
0
0 T*cm
0
0 T*cm
(2(𝐸)(𝐼_𝑃))/𝐿_2𝑃
1,593,781 T*cm
0
0 T*cm
(2(𝐸)(𝐼_2�))/𝐿_2�
382,154 T*cm
(8(𝐸)(𝐼_𝑃))/𝐿_2𝑃 +(4(𝐸)(𝐼_2�))/𝐿_2�
7,139,432 T*cm
0
0 T*cm
0
0 T*cm
(2(𝐸)(𝐼_𝑃))/𝐿_2𝑃
7
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
1,593,781 T*cm
7
8 5 7 FORMULA ACUMULADA
VALOR
0
0 T*cm
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
1,035 T*cm
−(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
-1,035 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
(2(𝐸)(𝐼_𝐶))/𝐿_2𝐶
0
103,500 T*cm
0
0 T*cm
0
0 T*cm
(4(𝐸)(𝐼_𝐶))/𝐿_2𝐶 +(4(𝐸)(𝐼_�))/𝐿_1� (2(𝐸)(𝐼_�))/𝐿_2�
451,636 T*cm
0
7
1,110,273 T*cm
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
0 T*cm
0
7
8 5 7 FORMULA ACUMULADA
VALOR
0
0 T*cm
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
1,035 T*cm
−(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
-1,035 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
(2(𝐸)(𝐼_𝐶))/𝐿_2𝐶
103,500 T*cm
0
0 T*cm
(2(𝐸)(𝐼_�))/𝐿_1�
451,636 T*cm
(4(𝐸)(𝐼_𝐶))/𝐿_2𝐶 +(4(𝐸)(𝐼_�))/𝐿_1� +(4(�)(�_2�))/�_2� (2(𝐸)(𝐼_2�))/𝐿_2�
382,154 T*cm
7
0
7
8
5
7
1,110,273 T*cm
FORMULA ACUMULADA
VALOR
0
0 T*cm
(6(𝐸) (𝐼_𝑃))/ (𝐿_2𝑃^2 )
-15,938 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
−(6(𝐸)(𝐼_𝑃))/(𝐿_2𝑃^2 )
(2(𝐸)(𝐼_𝑃))/𝐿_2𝑃
0
15,938 T*cm
1,593,781 T*cm
0 T*cm
(2(𝐸)(𝐼_2�))/𝐿_2� (4(𝐸)(𝐼_𝑃))/𝐿_3𝑃 +(4(𝐸)(𝐼_�))/𝐿_2�
382,154 T*cm
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
3,951,870 T*cm
MSAMBLAJE DE LA MATRIZ 6,973 T*cm
1,035 T*cm
1,035 T*cm
15,938 T*cm
0 T*cm
0 T*cm
0 T*cm
-15,938 T*cm
0 T*cm
0 T*cm
0 T*cm
1,035 T*cm
1,035 T*cm
15,938 T*cm
0 T*cm
-1,035 T*cm
-1,035 T*cm
-15,938 T*cm
-1,035 T*cm
-1,035 T*cm
-15,938 T*cm
0 T*cm
103,500 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
382,154 T*cm
0 T*cm
103,500 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
6,342,541 T*cm
0 T*cm
0 T*cm
1,593,781 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
1,317,273 T*cm
451,636 T*cm
0 T*cm
103,500 T*cm
0 T*cm
0 T*cm
0 T*cm
451,636 T*cm
2,081,580 T*cm
382,154 T*cm
0 T*cm
103,500 T*cm
0 T*cm
1,593,781 T*cm
0 T*cm
382,154 T*cm
7,139,432 T*cm
0 T*cm
0 T*cm
1,593,781 T*cm
0 T*cm
103,500 T*cm
0 T*cm
0 T*cm
1,110,273 T*cm
451,636 T*cm
0 T*cm
0 T*cm
0 T*cm
103,500 T*cm
0 T*cm
451,636 T*cm
1,110,273 T*cm
382,154 T*cm
0 T*cm
0 T*cm
0 T*cm
1,593,781 T*cm
0 T*cm
382,154 T*cm
3,951,870 T*cm
15,938 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
1,035 T*cm
1,035 T*cm
15,938 T*cm
-15,938 T*cm
-1,035 T*cm
-1,035 T*cm
-15,938 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
1,593,781 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
103,500 T*cm
0 T*cm
0 T*cm
382,154 T*cm
0 T*cm
103,500 T*cm
0 T*cm
7,139,432 T*cm
0 T*cm
0 T*cm
1,593,781 T*cm
0 T*cm
1,110,273 T*cm
451,636 T*cm
0 T*cm
0 T*cm
451,636 T*cm
1,110,273 T*cm
382,154 T*cm
1,593,781 T*cm
0 T*cm
382,154 T*cm
3,951,870 T*cm
-0.0317258169 0.0956245436 -0.066046337 0.0191817726 0.0576353101 -0.0294421269 0.0386396443 -0.0269807355 -0.4236573588 0.0394781003 -0.0871615571 0.17928885 0.1364206805 -1.0407526379 0.6389572181 -0.116806647 -0.3562376689 0.4887479253 -0.7703245199 0.2181618764 * 10-7 1.672148618 -0.1500457436 0.3375993803 -0.7070206795 -0.1500457436 11.0175999008 -4.7047203522 0.5154691835 0.3375993803 -4.7047203522 11.41934317 -1.2404268862
-0.7070206795
0.5154691835
-1.2404268862
2.9355396299
INERCIA DE LA PARTE DE LA PLACA DEL PORTICO 2-2
UNION VIGA COLUMNA REPRESENTACION
CALCULO DE MOMENTO I1= I2= I3= It= Iy=Iyo=
CALCULO DE MOMENTO DE INERCIA 23694424.183578 cm4 1994258.9906736 cm4 15252412.75815 cm4 6447752.4347541 cm4 1039422.3833638 cm4
It-Ad²
MEDIDAS DE LAS COMPONENTES DEL PORTICO PARTE DE PLACA I EI
1,039,422 cm⁴ 239067148173.663
COLUMNA 1er NIVEL
COLUMNA 2do Y 3ERNIVEL
VIGA 1
VIGA 2
LONGITUD ESPESOR ANCHO PERALTE
400 cm 30 cm 30 cm
300 cm 30 cm 30 cm
550 cm
650 cm
E IC
230,000 kg/cm² 67,500 cm⁴
230,000 kg/cm² 67,500 cm⁴
30 cm 60 cm 230,000 kg/cm²
30 cm 60 cm 230,000 kg/cm²
540,000 cm⁴
540,000 cm⁴
124200000000
124200000000
IV E*I
15525000000
15525000000
D1 = 1 ; D2 = D3 = D4 = D5 = D6 = D7 = D8 = D9 = D10 = D11 = D12 =0
K1-1
K31
K2-1 K3-1
((6)(𝐸)(𝐼_𝐶))/(𝐿
K4-1
K21
((6)(𝐸)(𝐼_𝐶))/(𝐿
K5-1
K6-1 ((6)(𝐸)(𝐼_𝐶))/(𝐿 K7-1
K11
K11
K8-1 K9-1 K10-1 K11-1 K12-1
D2 = 1 ; D1 = D3 = D4 = D5 = D6 = D7 = D8 = D9 = D10 = D11 = D12 =0
K32
K1-2 K2-2 K3-2 K4-2
K22
K5-2 K6-2 K7-2
K12
K8-2 K9-2 K10-2 K11-2 K12-1
D3 = 1 ; D1 = D2 = D4 = D5 = D6 = D7 = D8 = D9 = D10 = D11 = D12 =0
K33
K1-3 K2-3 K3-3
K23
K4-3 K5-3 K6-3
K13
K7-3 K8-3 K9-3 K10-3 K11-3 K12-3
D4 = 1 ; D1 = D2 = D3 = D5 = D6 = D7 = D8 = D9 = D10 = D11 = D12 =0
K34
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )−
K1-4 K2-4 K3-4
(4(𝐸)(𝐼_𝐶))/𝐿_1𝐶 +(4(�)(�_� K 4-4
K24
K5-4 K6-4 K7-4
K14
K14
K8-4 K9-4 K10-4 K11-4 K12-4
D5 = 1 ; D1 = D2 = D3 = D4 = D6 = D7 = D8 = D9 = D10 = D11 = D12 =0
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )−
K1-5
K35
K2-5 K3-5 K4-5
K25
(4(�)(�_�))/�_1� +(4(�)(�_�
K5-5 K6-5 K7-5
K15
K8-5 K9-5 K10-5 K11-5 K12-5
D6 = 1 ; D1 = D2 = D3 = D4 = D5 = D7 = D8 = D9 = D10 = D11 = D12 =0
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )−
K1-6
K36
K2-6 K3-6 K4-6
K26
K5-6
(4(𝐸)(𝐼_𝑃))/𝐿_1𝑃 +(4(𝐸)(𝐼_𝑃)
K6-6 K7-6
K16
K8-6 K9-6 K10-6 K11-6 K12-6
D7 = 1 ; D1 = D2 = D3 = D4 = D5 = D6 = D8 = D9 = D10 = D11 = D12 =0
K37
K1-7 K2-7 K3-7
K27
K4-7 K5-7 K6-7
K17
K7-7
(8(�)(�_�))/�_2� +
K17 K8-7 K9-7 K10-7 K11-7 K12-7
D8 = 1 ; D1 = D2 = D3 = D4 = D5 = D6 = D7 = D9 = D10 = D11 = D12 =0
K1-8
K38
K2-8 K3-8 K4-8
K28
K5-8 K6-8 K7-8
K18
K8-8 K9-8 K10-8 K11-8 K12-8
D9 = 1 ; D1 = D2 = D3 = D4 = D5 = D6 = D7 = D8 = D10 = D11 = D12 =0
K1-9
K39
K2-9 K3-9 K4-9
K29
K5-9 K6-9 K7-9
K19
K8-9
(8(𝐸)(𝐼_𝑃))/𝐿_2𝑃 +(4( K9-9
K10-9 K11-9 K12-9
D10 = 1 ; D1 = D2 = D3 = D4 = D5 = D6 = D7 = D8 = D9 = D11 = D12 =0
K3-10
K1-10 K2-10 K3-10
K2-10
K4-10 K5-10 K6-10
K1-10
K7-10
K1-10
K8-10 K9-10 K10-10 K11-10 K12-10
D11 = 1 ; D1 = D2 = D3 = D4 = D5 = D6 = D7 = D8 = D9 = D10 = D12 =0
K1-11
K3-11
K2-11 K3-11 K4-11
K2-11
K5-11 K6-10 K7-11
K1-11
K8-11 K9-11 K10-11 K11-11 K12-11
D12 = 1 ; D1 = D2 = D3 = D4 = D5 = D6 = D7 = D8 = D9 = D10 = D11 =0
(4(𝐸)(𝐼_𝐶))/𝐿_2𝐶 +
K1-12
K3-12
K2-12 K3-12 K4-12
K2-12
K5-12 K6-12 K7-12
K1-12
K8-12 K9-12 K10-12 K11-12 K12-12
(4(𝐸)(𝐼_𝑃))/𝐿_3𝑃 +
EMSAMBLAJE DE LA MATRI 170.70 T*cm
[K]
DE DONDE:
=
-120.05 T*cm
0 T*cm
453 T*cm
453 T*cm
6,973 T*cm
-120.05 T*cm
240.10 T*cm
-120.05 T*cm
-1,035 T*cm
-1,035 T*cm
-15,938 T*cm
0.00 T*cm
-120.05 T*cm
120.05 T*cm
0 T*cm
0 T*cm
0 T*cm
452.81 T*cm
-1,035.00 T*cm
0 T*cm
1,265,523 T*cm
451,636 T*cm
0 T*cm
452.81 T*cm
-1,035.00 T*cm
0 T*cm
451,636 T*cm
3,697,411 T*cm
382,154 T*cm
-7,930.02 T*cm
-15,937.81 T*cm
0 T*cm
0 T*cm
382,154 T*cm
6,342,541 T*cm
1,035.00 T*cm
0.00 T*cm
-1,035 T*cm
103,500 T*cm
0 T*cm
0 T*cm
1,035.00 T*cm
0.00 T*cm
-1,035 T*cm
0 T*cm
103,500 T*cm
0 T*cm
15,937.81 T*cm
0.00 T*cm
-15,938 T*cm
0 T*cm
0 T*cm
1,593,781 T*cm
0.00 T*cm
1,035.00 T*cm
-1,035 T*cm
0 T*cm
0 T*cm
0 T*cm
0.00 T*cm
1,035.00 T*cm
-1,035 T*cm
0 T*cm
0 T*cm
0 T*cm
0.00 T*cm
15,937.81 T*cm
-15,938 T*cm
0 T*cm
0 T*cm
0 T*cm
[K11]
[K12]
[K21]
[K22]
[K22]-1
=
=
=
=
=
170.70 T*cm
-120.05 T*cm
0 T*cm
-120.05 T*cm
240.10 T*cm
-120.05 T*cm
0 T*cm
-120.05 T*cm
120.05 T*cm
453 T*cm
453 T*cm
6,973 T*cm
1,035 T*cm
1,035 T*cm
15,938 T*cm
-1,035 T*cm
-1,035 T*cm
-15,938 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
-1,035 T*cm
-1,035 T*cm
-15,938 T*cm
453 T*cm
-1,035.00 T*cm
0 T*cm
453 T*cm
-1,035.00 T*cm
0 T*cm
0 T*cm
-7,930 T*cm
-15,937.81 T*cm
0 T*cm
1,035.00 T*cm
0 T*cm
-1,035.00 T*cm
1,035.00 T*cm
0 T*cm
-1,035.00 T*cm
15,937.81 T*cm
0 T*cm
-15,937.81 T*cm
0 T*cm
1,035.00 T*cm
-1,035.00 T*cm
0 T*cm
1,035.00 T*cm
-1,035.00 T*cm
0 T*cm
15,937.81 T*cm
-15,937.81 T*cm
1,265,523 T*cm
451,636 T*cm
0 T*cm
103,500 T*cm
0 T*cm
451,636 T*cm
3,697,411 T*cm
382,154 T*cm
0 T*cm
103,500 T*cm
0 T*cm
0 T*cm
382,154 T*cm
6,342,541 T*cm
0 T*cm
0 T*cm
1,593,781 T*cm
103,500 T*cm
0 T*cm
0 T*cm
1,317,273 T*cm
451,636 T*cm
0 T*cm
0 T*cm
103,500 T*cm
0 T*cm
451,636 T*cm
2,081,580 T*cm
382,154 T*cm
0 T*cm
0 T*cm
1,593,781 T*cm
0 T*cm
382,154 T*cm
7,139,432 T*cm
0 T*cm
0 T*cm
0 T*cm
103,500 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
103,500 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
1,593,781 T*cm
8.3301124345 -1.0309316273 -1.0309316273 2.855017413 0.0700883888 -0.1865047335 -0.7375883605 0.1472243685
0.0700883888 -0.7375883605 0.2204013272 -0.0317258169 -0.1865047335 0.1472243685 -0.1864020893 0.0576353101 1.6943509378 -0.0431510083 0.1007481204 -0.4236573588 -0.0431510083 8.3762604362 -1.8815162025 0.1364206805
0.2204013272 -0.1864020893 -0.0317258169 0.0576353101 0.0956245436 -0.0294421269 -0.066046337 0.0386396443
0.1007481204 -1.8815162025 5.3252422202 -0.3562376689 -0.4236573588 0.1364206805 -0.3562376689 1.672148618 0.0394781003 -1.0407526379 0.4887479253 -0.1500457436 -0.0871615571 0.6389572181 -0.7703245199 0.3375993803
0.0191817726 -0.0269807355
[KL]2
=
0.17928885
136.436
-96.045
22.539
-131.924 28.328
131.835 -57.821
-57.821 38.779
-0.116806647
0.2181618764
-0.7070206795
ERAL DE CADA PORTICO [KL]-PORTICO EJE 2-2 5 6 7 8 9 10 11 12
6 11 0 5 10 0 5 10
4 4 7 M10 7 7 10 10 10 M7
M11
M12 FL3
M8
M9 FL2
M4
M5
M6 FL1
1 2
0 5
0x 0x
apoyos x x x x
3
10
0x
x
4 5 6 7
1 6 11 0
4 4 4 7
8
1
x
5 7 FORMULA ACUMULADA
(2(12)(𝐸)(𝐼_𝐶))/(𝐿_1𝐶^3 )+(2(12)(𝐸)(𝐼_𝐶))/ 10(�_( 1𝑃)^3 )+((12)(�) (𝐿_2𝐶^3 )+((12)(�)(�_�))/ (�_�))/(�_( 2�)^3 ) −2(12)(E)(I_C )/(L_2C^3 ) − (12) (E)(I_P )/(L_2P^3 ) 5
VALOR 170.70 T*cm
-120.05 T*cm
0
0 T*cm
((6)(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )−((6)(𝐸)(𝐼_𝐶))/(𝐿_1𝐶^2 )
453 T*cm
((6)(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )−((6)(𝐸)(𝐼_𝐶))/(𝐿_1𝐶^2 )
((6)(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )−((6)(𝐸)(𝐼_𝑃))/(𝐿_1𝑃^2 ) ((6)(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
10
453 T*cm
-7,930 T*cm
1,035 T*cm
2
0 5
1 6
0 0
4 4
0 5
10
11
0
4
10
1 6 11 0
0 5 10 0
4 4 4 7
7 7 7 10
#N/A #N/A #N/A #N/A
5 10
5 10
7 7
10 10
#N/A 0
0
5
10
10
0
0
10
10
10
5
10
0
10
10
0
7
((6)(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
11
1,035 T*cm
((6)(𝐸)(𝐼_𝑃))/(𝐿_2𝑃^2 )
12
15,938 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
0
7
8 5 7 FORMULA ACUMULADA
VALOR
−2(12)(E)(I_C )/(L_2C^3 ) − (12)(E)(I_P 10 )/(L_2P^3 )
(4(12)(E)(I_C))/(L_2C^3 ) 5 +(2(12)(E)(I_p))/ (L_( 2P)^3 ) −2(12)(E)(I_C )/(L_3C^3 ) − (12) (E)(I_P )/(L_3P^3 )
-120.05 T*cm
240.10 T*cm
-120.05 T*cm
−((6)(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
-1,035 T*cm
−((6)(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
-1,035 T*cm
−((6)(𝐸)(𝐼_𝐶))/(𝐿_2𝑃^2 )
-15,938 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
((6)(𝐸)(𝐼_𝐶))/(𝐿_3𝐶^2 )
1,035 T*cm
((6)(𝐸)(𝐼_𝐶))/(𝐿_3𝐶^2 )
1,035 T*cm
((6)(𝐸)(𝐼_𝐶))/(𝐿_3𝑃^2 )
15,938 T*cm
7
0
7
8
5
7
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
FORMULA ACUMULADA
VALOR
0
0 T*cm
−(2(12)(�)(�_�))/(�_3�^3 )−((12)(�) (�_𝑃))/(�_3𝑃^3 )
(2(12)(�)(�_�))/(�_3�^3 )+((12)(�) (�_𝑃))/(�_3𝑃^3 )
-120 T*cm
120 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
−((6)(𝐸)(𝐼_𝐶))/(𝐿_3𝐶^2 )
-1,035 T*cm
−((6)(𝐸)(𝐼_𝐶))/(𝐿_3𝐶^2 )
-1,035 T*cm
−((6)(𝐸)(𝐼_𝑃))/(𝐿_3𝑃^2 )
-15,938 T*cm
−((6)(𝐸)(𝐼_𝐶))/(𝐿_3𝐶^2 )
-1,035 T*cm
−((6)(𝐸)(𝐼_𝐶))/(𝐿_3𝐶^2 )
-1,035 T*cm
−((6)(𝐸)(𝐼_𝑃))/(𝐿_3𝑃^2 )
-15,938 T*cm
7
0
VALOR
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )−(6(𝐸)(𝐼_𝐶))/(𝐿_1𝐶^2 )
453 T*cm
0
-1,035 T*cm
0 T*cm
(4(𝐸)(𝐼_𝐶))/𝐿_1𝐶 +(4(�)(�_�))/�_2� +(4(�)(�_�))/� _1� 1,265,523 T*cm (2(�)(�_�))/�_1�
451,636 T*cm
0
0 T*cm
(2(�)(�_�))/�_2�
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
7
8 5 7 FORMULA ACUMULADA
−(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
0
103,500 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
7
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
7
8 5 7 FORMULA ACUMULADA
VALOR
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )−(6(𝐸)(𝐼_𝐶))/(𝐿_1𝐶^2 )
453 T*cm
−(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
-1,035 T*cm
0
0 T*cm
(2(�)(�_�))/�_1�
451,636 T*cm
(4(�)(�_�))/�_1� +(4(�)(�_�))/�_2� +(4(�)(�_�))/�_1� +(4(�)(�_2�))/�_2�
3,697,411 T*cm
(2(𝐸)(𝐼_2�))/𝐿_2�
382,154 T*cm
0
0 T*cm
(2(�)(�_�))/�_2�
103,500 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
7
0
7
8
5
7
FORMULA ACUMULADA
VALOR
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )−(6(𝐸)(𝐼_𝑃))/(𝐿_1𝑃^2 )
6,973 T*cm
−(6(𝐸)(𝐼_𝐶))/(𝐿_2𝑃^2 )
-15,938 T*cm
0
0 T*cm
0
0 T*cm
(2(𝐸)(𝐼_2�))/𝐿_2�
382,154 T*cm
(4(𝐸)(𝐼_𝑃))/𝐿_1𝑃 +(4(𝐸)(𝐼_𝑃))/𝐿_2𝑃 +(4(𝐸)(𝐼_2�))/𝐿_2� 6,342,541 T*cm
0
0 T*cm
0
0 T*cm
(2(𝐸)(𝐼_𝑃))/𝐿_2𝑃
1,593,781 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
7
0
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
7
8 5 7 FORMULA ACUMULADA
VALOR
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
1,035 T*cm
0
0 T*cm
−(6(𝐸)(𝐼_𝐶))/(𝐿_3𝐶^2 )
-1,035 T*cm
(2(𝐸)(𝐼_𝐶))/𝐿_2𝐶
103,500 T*cm
0
0 T*cm
0
0 T*cm
(8(�)(�_�))/�_2� +(4(�)(�_�))/�_1�
1,317,273 T*cm
(2(𝐸)(𝐼_�))/𝐿_1�
451,636 T*cm
0
0 T*cm
(2(𝐸)(𝐼_𝐶))/𝐿_3𝐶
103,500 T*cm
0
0 T*cm
0
0 T*cm
7
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
7
8 5 7 FORMULA ACUMULADA
VALOR
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
1,035 T*cm
0
0 T*cm
−(6(𝐸)(𝐼_𝐶))/(𝐿_3𝐶^2 )
-1,035 T*cm
0
0 T*cm
(2(𝐸)(𝐼_𝐶))/𝐿_2𝐶
103,500 T*cm
0
0 T*cm
(2(𝐸)(𝐼_�))/𝐿_1�
451,636 T*cm
2 (4(𝐸)(𝐼_𝐶))/𝐿_2𝐶 +(4(𝐸) (𝐼_�))/𝐿_1� +(4(�)(�_2�))/�_2�
2,081,580 T*cm
(2(𝐸)(𝐼_2�))/𝐿_2�
382,154 T*cm
0
0 T*cm
(2(𝐸)(𝐼_𝐶))/𝐿_3𝐶
103,500 T*cm
0
0 T*cm
7
0
7
8
5
7
FORMULA ACUMULADA
VALOR
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝑃^2 )
15,938 T*cm
0
0 T*cm
−(6(𝐸)(𝐼_𝐶))/(𝐿_2𝑃^2 )
-15,938 T*cm
0
0 T*cm
0
0 T*cm
(2(𝐸)(𝐼_𝑃))/𝐿_2𝑃
1,593,781 T*cm
0
0 T*cm
(2(𝐸)(𝐼_2�))/𝐿_2�
382,154 T*cm
(8(𝐸)(𝐼_𝑃))/𝐿_2𝑃 +(4(𝐸)(𝐼_2�))/𝐿_2�
7,139,432 T*cm
0
0 T*cm
0
0 T*cm
(2(𝐸)(𝐼_𝑃))/𝐿_2𝑃
7
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
1,593,781 T*cm
7
8 5 7 FORMULA ACUMULADA
VALOR
0
0 T*cm
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
1,035 T*cm
−(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
-1,035 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
(2(𝐸)(𝐼_𝐶))/𝐿_2𝐶
0
103,500 T*cm
0
0 T*cm
0
0 T*cm
(4(𝐸)(𝐼_𝐶))/𝐿_2𝐶 +(4(𝐸)(𝐼_�))/𝐿_1� (2(𝐸)(𝐼_�))/𝐿_2�
451,636 T*cm
0
7
1,110,273 T*cm
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
0 T*cm
0
7
8 5 7 FORMULA ACUMULADA
VALOR
0
0 T*cm
(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
1,035 T*cm
−(6(𝐸)(𝐼_𝐶))/(𝐿_2𝐶^2 )
-1,035 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
(2(𝐸)(𝐼_𝐶))/𝐿_2𝐶
103,500 T*cm
0
0 T*cm
(2(𝐸)(𝐼_�))/𝐿_1�
451,636 T*cm
(4(𝐸)(𝐼_𝐶))/𝐿_2𝐶 +(4(𝐸)(𝐼_�))/𝐿_1� +(4(�)(�_2�))/�_2� (2(𝐸)(𝐼_2�))/𝐿_2�
382,154 T*cm
7
0
7
8
5
7
1,110,273 T*cm
FORMULA ACUMULADA
VALOR
0
0 T*cm
(6(𝐸) (𝐼_𝑃))/ (𝐿_2𝑃^2 )
-15,938 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
0
0 T*cm
−(6(𝐸)(𝐼_𝑃))/(𝐿_2𝑃^2 )
(2(𝐸)(𝐼_𝑃))/𝐿_2𝑃
0
15,938 T*cm
1,593,781 T*cm
0 T*cm
(2(𝐸)(𝐼_2�))/𝐿_2� (4(𝐸)(𝐼_𝑃))/𝐿_3𝑃 +(4(𝐸)(𝐼_�))/𝐿_2�
382,154 T*cm
0
0
0
4
0
5
5
0
4
0
10
10
0
4
0
0
1
4
7
0
5
6
4
7
0
10
11
4
7
0
1
0
7
10
0
6
5
7
10
0
11
10
7
10
0
0
5
10
10
0
0
10
10
10
0
10
0
10
10
0
3,951,870 T*cm
MSAMBLAJE DE LA MATRIZ 6,973 T*cm
1,035 T*cm
1,035 T*cm
15,938 T*cm
0 T*cm
0 T*cm
0 T*cm
-15,938 T*cm
0 T*cm
0 T*cm
0 T*cm
1,035 T*cm
1,035 T*cm
15,938 T*cm
0 T*cm
-1,035 T*cm
-1,035 T*cm
-15,938 T*cm
-1,035 T*cm
-1,035 T*cm
-15,938 T*cm
0 T*cm
103,500 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
382,154 T*cm
0 T*cm
103,500 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
6,342,541 T*cm
0 T*cm
0 T*cm
1,593,781 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
1,317,273 T*cm
451,636 T*cm
0 T*cm
103,500 T*cm
0 T*cm
0 T*cm
0 T*cm
451,636 T*cm
2,081,580 T*cm
382,154 T*cm
0 T*cm
103,500 T*cm
0 T*cm
1,593,781 T*cm
0 T*cm
382,154 T*cm
7,139,432 T*cm
0 T*cm
0 T*cm
1,593,781 T*cm
0 T*cm
103,500 T*cm
0 T*cm
0 T*cm
1,110,273 T*cm
451,636 T*cm
0 T*cm
0 T*cm
0 T*cm
103,500 T*cm
0 T*cm
451,636 T*cm
1,110,273 T*cm
382,154 T*cm
0 T*cm
0 T*cm
0 T*cm
1,593,781 T*cm
0 T*cm
382,154 T*cm
3,951,870 T*cm
15,938 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
1,035 T*cm
1,035 T*cm
15,938 T*cm
-15,938 T*cm
-1,035 T*cm
-1,035 T*cm
-15,938 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
1,593,781 T*cm
0 T*cm
0 T*cm
0 T*cm
0 T*cm
103,500 T*cm
0 T*cm
0 T*cm
382,154 T*cm
0 T*cm
103,500 T*cm
0 T*cm
7,139,432 T*cm
0 T*cm
0 T*cm
1,593,781 T*cm
0 T*cm
1,110,273 T*cm
451,636 T*cm
0 T*cm
0 T*cm
451,636 T*cm
1,110,273 T*cm
382,154 T*cm
1,593,781 T*cm
0 T*cm
382,154 T*cm
3,951,870 T*cm
-0.0317258169 0.0956245436 -0.066046337 0.0191817726 0.0576353101 -0.0294421269 0.0386396443 -0.0269807355 -0.4236573588 0.0394781003 -0.0871615571 0.17928885 0.1364206805 -1.0407526379 0.6389572181 -0.116806647 -0.3562376689 0.4887479253 -0.7703245199 0.2181618764 * 10-7 1.672148618 -0.1500457436 0.3375993803 -0.7070206795 -0.1500457436 11.0175999008 -4.7047203522 0.5154691835 0.3375993803 -4.7047203522 11.41934317 -1.2404268862
-0.7070206795
0.5154691835
-1.2404268862
2.9355396299
INERCIA DE LA PARTE DE LA PLACA DEL PORTICO 2-2
UNION VIGA COLUMNA REPRESENTACION
CALCULO DE MOMENTO I1= I2= I3= It= Iy=Iyo=
CALCULO DE MOMENTO DE INERCIA 23694424.183578 cm4 1994258.9906736 cm4 15252412.75815 cm4 6447752.4347541 cm4 1039422.3833638 cm4
It-Ad²
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