1. The document describes calculating rigidities and inertia coefficients for a cross-section method. It provides equations for calculating rigidities of different sections of a multi-story building based on their dimensions and modulus of elasticity. 2. Equations are given for calculating moment of perfect fixity at different joints. Coefficients of distribution are also calculated to distribute forces at joints to different sections based on their rigidities. 3. The document contains detailed calculations of structural properties like rigidities, moments, and distribution coefficients for analysis of a multi-story building using the cross-section method.

1. MÉTODO DE CROSS
SECCIÓN1
1- INERCIAS
1 PISO
𝐼𝐴𝐷 = 𝐼 𝐷𝐴 = 𝐼 𝐵𝐸 = 𝐼 𝐸𝐵 = 𝐼 𝐶𝐹 = 𝐼 𝐹𝐶 =
0,5𝑥0,53
12
= 𝟓, 𝟐𝟏𝒙𝟏𝟎−𝟑
𝐼 𝐷𝐸 = 𝐼 𝐸𝐷 = 𝐼 𝐸𝐹 = 𝐼 𝐹𝐸 =
0,5𝑥0,63
12
= 𝟗𝒙𝟏𝟎−𝟑
2 PISO
𝐼 𝐷𝐺 = 𝐼 𝐺𝐷 = 𝐼 𝐸𝐻 = 𝐼 𝐻𝐸 = 𝐼 𝐹𝐼 = 𝐼𝐼𝐹 =
0,45𝑥0,453
12
= 𝟑, 𝟒𝟐𝒙𝟏𝟎−𝟑
𝐼 𝐺𝐻 = 𝐼 𝐻𝐺 = 𝐼 𝐻𝐼 = 𝐼𝐼𝐻 =
0,45𝑥0,53
12
= 𝟒, 𝟔𝟗𝒙𝟏𝟎−𝟑
3 PISO
𝐼 𝐺𝐽 = 𝐼𝐽𝐺 = 𝐼 𝐻𝐾 = 𝐼 𝐾𝐻 = 𝐼𝐼𝐿 = 𝐼 𝐿𝐼 =
0,4𝑥0,43
12
= 𝟐, 𝟏𝟑𝒙𝟏𝟎−𝟑
𝐼𝐽𝐾 = 𝐼 𝐾𝐽 = 𝐼 𝐾𝐿 = 𝐼 𝐿𝐾 =
0,4𝑥0,453
12
= 𝟑, 𝟎𝟒𝒙𝟏𝟎−𝟑
4 Y 5 PISO
𝐼𝐽𝑀 = 𝐼 𝑀𝐽 = 𝐼 𝐾𝑁 = 𝐼 𝑁𝐾 = 𝐼 𝐿𝑂 = 𝐼 𝑂𝐿 = 𝐼 𝑀𝑃 = 𝐼 𝑃𝑀 = 𝐼 𝑁𝑄 = 𝐼 𝑄𝑁 = 𝐼 𝑂𝑅 = 𝐼 𝑅𝑂 =
0,3𝑥0,33
12
= 𝟔, 𝟕𝟓𝒙𝟏𝟎−𝟒
𝐼 𝑀𝑁 = 𝐼 𝑁𝑀 = 𝐼 𝑁𝑂 = 𝐼 𝑂𝑁 = 𝐼 𝑃𝑄 = 𝐼 𝑄𝑃 = 𝐼 𝑄𝑅 = 𝐼 𝑅𝑄 =
0,3𝑥0,43
12
= 𝟏, 𝟔𝒙𝟏𝟎−𝟑

2. 2- MÓDULO DE ELASTICIDAD
- Columnas = 4700x√42 = 30459,48
- Vigas = 4700x√35 = 27805,57
3- RIGIDEZ
1 PISO
𝐾𝐴𝐷 = 𝐾 𝐷𝐴 = 𝐾 𝐵𝐸 = 𝐾𝐸𝐵 = 𝐾𝐶𝐹 = 𝐾𝐹𝐶 =
3
4
𝑥
5,21𝑥10−3 𝑥 30459,48
4
= 𝟐𝟗, 𝟕𝟔
𝐾 𝐷𝐸 = 𝐾𝐸𝐷 =
9𝑥10−3 𝑥27805,57
6
= 𝟒𝟏, 𝟕𝟏
𝐾𝐸𝐹 = 𝐾𝐹𝐸 =
9𝑥10−3 𝑥27805,57
4
= 𝟔𝟐, 𝟓𝟔
2 PISO
𝐾 𝐷𝐺 = 𝐾𝐺𝐷 = 𝐾𝐸𝐻 = 𝐾 𝐻𝐸 = 𝐾𝐹𝐼 = 𝐾𝐼𝐹 =
3
4
𝑥
3,42𝑥10−3 𝑥 30459,48
5
= 𝟏𝟓, 𝟔𝟑
𝐾𝐺𝐻 = 𝐾 𝐻𝐺 =
4,69𝑥10−3 𝑥27805,57
6
= 𝟐𝟏, 𝟕𝟑
𝐾 𝐻𝐼 = 𝐾𝐼𝐻 =
4,69𝑥10−3 𝑥27805,57
4
= 𝟑𝟐, 𝟔
3 PISO
𝐾𝐺𝐽 = 𝐾𝐽𝐺 = 𝐾 𝐻𝐾 = 𝐾 𝐾𝐻 = 𝐾𝐼𝐿 = 𝐾𝐿𝐼 =
3
4
𝑥
2,13𝑥10−3 𝑥 30459,48
4
= 𝟏𝟐, 𝟏𝟔
𝐾𝐽𝐾 = 𝐾 𝐾𝐽 =
3,04𝑥10−3 𝑥27805,57
6
= 𝟏𝟒, 𝟏
𝐾 𝐾𝐿 = 𝐾𝐿𝐾 =
3,04𝑥10−3 𝑥27805,57
4
= 𝟐𝟏, 𝟏𝟑
4 Y 5 PISO
𝐾𝐽𝑀 = 𝐾 𝑀𝐽 = 𝐾 𝐾𝑁 = 𝐾 𝑁𝐾 = 𝐾𝐿𝑂 = 𝐾 𝑂𝐿 = 𝐾 𝑀𝑃 = 𝐾𝑃𝑀 = 𝐾 𝑁𝑄 = 𝐾 𝑄𝑁 = 𝐾 𝑂𝑅 = 𝐾𝑅𝑂 = ⋯
… =
3
4
𝑥
6,75𝑥10−4 𝑥 30459,48
4
= 𝟑, 𝟖𝟔
𝐾 𝑀𝑁 = 𝐾 𝑁𝑀 = 𝐾𝑃𝑄 = 𝐾 𝑄𝑃 =
1,6𝑥10−3 𝑥 27805,57
6
= 𝟕, 𝟒𝟐
𝐾 𝑁𝑂 = 𝐾 𝑂𝑁 = 𝐾 𝑄𝑅 = 𝐾𝑅𝑄 =
1,6𝑥10−3 𝑥 27805,57
4
= 𝟏𝟏, 𝟏𝟐
4- MOMENTO DE EMPOTRAMIENTO PERFECTO
𝑀 𝐷𝐸 =
26,84 𝑥 62
12
= 𝟖𝟎, 𝟓𝟐 𝑀 𝐸𝐷 = −𝑀 𝐷𝐸 = −𝟖𝟎, 𝟓𝟐
𝑀 𝐸𝐹 =
20,13 𝑥 42
12
= 𝟐𝟔, 𝟖𝟒 𝑀 𝐹𝐸 = −𝑀 𝐸𝐹 = −𝟐𝟔, 𝟖𝟒
𝑀 𝐺𝐻 = 𝑀𝐽𝐾 = 𝑀 𝑀𝑁 =
22,93 𝑥 62
12
= 𝟔𝟖, 𝟕𝟗 𝑀 𝐻𝐺, 𝑀 𝐾𝐽,𝑀 𝑁𝑀 = −𝑀 𝐺𝐻 = −𝟔𝟖, 𝟕𝟗
𝑀 𝐻𝐼 = 𝑀 𝐾𝐿 = 𝑀 𝑁𝑂 =
17,2 𝑥 42
12
= 𝟑𝟔, 𝟑 𝑀𝐼𝐻, 𝑀𝐿𝐾,𝑀 𝑂𝑁 = −𝑀 𝐻𝐼 = −𝟑𝟔, 𝟑
𝑀 𝑃𝑄 =
13,22 𝑥 62
12
= 𝟑𝟗, 𝟔𝟔 𝑀 𝑄𝑃 = −𝑀 𝑃𝑄 = −𝟑𝟗, 𝟔𝟔
𝑀 𝑄𝑅 =
9,92 𝑥 42
12
= 𝟏𝟑, 𝟐𝟑 𝑀 𝑅𝑄 = −𝑀 𝑄𝑅 = −𝟏𝟑, 𝟐𝟑

3. 5- COEFICIENTE DE DISTRIBUCIÓN
-𝛾 𝐴𝐷 = 𝛾 𝐵𝐸 = 𝛾 𝐶𝐹 = 𝟎
-𝛾 𝐷𝐴 =
𝐾 𝐷𝐴
𝐾 𝐷𝐴 +𝐾 𝐷𝐸+𝐾 𝐷𝐺
=
29,76
29,76+41,71+15,63
= 𝟎, 𝟑𝟒
𝛾 𝐷𝐸 = 𝟎, 𝟒𝟖 𝛾 𝐷𝐺 = 𝟎, 𝟏𝟖
-𝛾 𝐸𝐷 =
𝐾 𝐸𝐷
𝐾 𝐸𝐷+𝐾 𝐸𝐻+𝐾 𝐸𝐹+𝐾 𝐸𝐵
=
41,71
41,71+15,63+62,56+29,76
= 𝟎, 𝟐𝟖
𝛾 𝐸𝐻 = 𝟎, 𝟏 𝛾 𝐸𝐹 = 𝟎, 𝟒𝟐 𝛾 𝐸𝐵 = 𝟎, 𝟐
-𝛾 𝐹𝐸 =
𝐾 𝐹𝐸
𝐾 𝐹𝐸 +𝐾 𝐹𝐼+𝐾 𝐹𝐶
=
62,56
62,56+15,63+29,76
= 𝟎, 𝟓𝟖
𝛾 𝐹𝐼 = 𝟎, 𝟏𝟒 𝛾 𝐹𝐶 = 𝟎, 𝟐𝟖
-𝛾 𝐺𝐷 =
𝐾 𝐺𝐷
𝐾 𝐺𝐷+𝐾 𝐺𝐻+𝐾𝐺𝐽
=
29,76
29,76+41,71+15,63
= 𝟎, 𝟓𝟖
𝛾 𝐺𝐻 = 𝟎, 𝟏𝟒 𝛾 𝐺𝐽 = 𝟎, 𝟐𝟖
-𝛾 𝐻𝐺 =
𝐾 𝐻𝐺
𝐾 𝐻𝐺+𝐾 𝐻𝐾+𝐾 𝐻𝐼+𝐾 𝐻𝐸
=
21,73
21,73+12,16+32,6+15,63
= 𝟎, 𝟐𝟔
𝛾 𝐻𝐾 = 𝟎, 𝟏𝟓 𝛾 𝐻𝐼 = 𝟎, 𝟒 𝛾 𝐻𝐸 = 𝟎, 𝟏𝟗
-𝛾 𝐼𝐻 =
𝐾𝐼𝐻
𝐾𝐼𝐻+𝐾𝐼𝐿+𝐾𝐼𝐹
=
32,6
32,6+12,16+15,63
= 𝟎, 𝟓𝟒
𝛾 𝐼𝐿 = 𝟎, 𝟐 𝛾 𝐼𝐹 = 𝟎, 𝟐𝟔
-𝛾𝐽𝐺 =
𝐾𝐽𝐺
𝐾𝐽𝐺+𝐾𝐽𝐾+𝐾𝐽𝑀
=
12,16
12,16+14,1+3,86
= 𝟎, 𝟒
𝛾𝐽𝐾 = 𝟎, 𝟒𝟕 𝛾𝐽𝑀 = 𝟎, 𝟏𝟑
-𝛾 𝐾𝐽 =
𝐾 𝐾𝐽
𝐾 𝐾𝐽+𝐾 𝐾𝑁+𝐾 𝐾𝐿+𝐾 𝐾𝐻
=
14,1
14,1+3,86+21,13+12,16
= 𝟎, 𝟐𝟖
𝛾 𝐾𝑁 = 𝟎, 𝟎𝟖 𝛾 𝐾𝐿 = 𝟎, 𝟒𝟏 𝛾 𝐾𝐻 = 𝟎, 𝟐𝟒
-𝛾 𝐿𝐾 =
𝐾 𝐿𝐾
𝐾 𝐿𝐾 +𝐾 𝐿𝑂+𝐾 𝐿𝐼
=
21,13
21,13+3,86+12,16
= 𝟎, 𝟓𝟕
𝛾 𝐿𝑂 = 𝟎, 𝟏 𝛾 𝐿𝐼 = 𝟎, 𝟑𝟑
-𝛾 𝑀𝐽 =
𝐾 𝑀𝐽
𝐾 𝑀𝐽+𝐾 𝑀𝑁+𝐾 𝑀𝑃
=
3,86
3,86+7,41+3,86
= 𝟎, 𝟐𝟓
𝛾 𝑀𝑁 = 𝟎, 𝟓 𝛾 𝑀𝑃 = 𝟎, 𝟐𝟓
-𝛾 𝑁𝑀 =
𝐾 𝑁𝑀
𝐾 𝑁𝑀+𝐾 𝑁𝑄+𝐾 𝑁𝑂+𝐾 𝑁𝐾
=
7,41
7,41+3,86+11,12+3,86
= 𝟎, 𝟐𝟖
𝛾 𝑁𝑄 = 𝟎, 𝟏𝟓 𝛾 𝑁𝑂 = 𝟎, 𝟒𝟐 𝛾 𝑁𝐾 = 𝟎, 𝟏𝟓
-𝛾 𝑂𝑁 =
𝐾 𝑂𝑁
𝐾 𝑂𝑁+𝐾 𝑂𝑅+𝐾 𝑂𝐿
=
11,12
11,12+3,86+3,86
= 𝟎, 𝟔
𝛾 𝑂𝑅 = 𝟎, 𝟐 𝛾 𝑂𝐿 = 𝟎, 𝟐
-𝛾 𝑃𝑄 =
𝐾 𝑃𝑄
𝐾 𝑃𝑄+𝐾 𝑃𝑀
=
7,41
7,41+3,86
= 𝟎, 𝟔𝟔 𝛾 𝑃𝑀 = 𝟎, 𝟑𝟒

4. -𝛾 𝑄𝑃 =
𝐾 𝑄𝑃
𝐾 𝑄𝑃+𝐾 𝑄𝑁+𝐾 𝑄𝑅
=
7,41
7,41+3,86+11,12
= 𝟎, 𝟑𝟑
𝛾 𝑄𝑁 = 𝟎, 𝟏𝟕 𝛾 𝑄𝑅 = 𝟎, 𝟓
-𝛾 𝑅𝑄 =
𝐾 𝑅𝑄
𝐾 𝑅𝑄+𝐾 𝑅𝑂
=
11,12
11,12+3,86
= 𝟎, 𝟕𝟒 𝛾 𝑃𝑀 = 𝟎, 𝟐𝟔
SECCIÓN2
1- INERCIAS
1 PISO
𝐼𝐴𝐸 = 𝐼 𝐸𝐴 = 𝐼 𝐵𝐹 = 𝐼 𝐹𝐵 = 𝐼 𝐶𝐺 = 𝐼 𝐺𝐶 = 𝐼 𝐷𝐻 = 𝐼 𝐻𝐷 =
0,5𝑥0,53
12
= 𝟓, 𝟐𝟏𝒙𝟏𝟎−𝟑
𝐼 𝐸𝐹 = 𝐼 𝐹𝐸 = 𝐼 𝐹𝐺 = 𝐼 𝐺𝐹 = 𝐼 𝐺𝐻 = 𝐼 𝐻𝐺 =
0,5𝑥0,63
12
= 𝟗𝒙𝟏𝟎−𝟑
2 PISO
𝐼 𝐸𝐼 = 𝐼𝐼𝐸 = 𝐼 𝐹𝐽 = 𝐼𝐽𝐹 = 𝐼 𝐺𝐾 = 𝐼 𝐾𝐺 = 𝐼 𝐻𝐿 = 𝐼 𝐿𝐻 =
0,45𝑥0,453
12
= 𝟑, 𝟒𝟐𝒙𝟏𝟎−𝟑
𝐼𝐼𝐽 = 𝐼𝐽𝐼 = 𝐼𝐽𝐾 = 𝐼 𝐾𝐽 = 𝐼 𝐾𝐿 = 𝐼 𝐿𝐾 =
0,45𝑥0,53
12
= 𝟒, 𝟔𝟗𝒙𝟏𝟎−𝟑
3 PISO
𝐼𝐼𝑀 = 𝐼 𝑀𝐼 = 𝐼𝐽𝑁 = 𝐼 𝑁𝐽 = 𝐼 𝐾𝑂 = 𝐼 𝑂𝐾 = 𝐼 𝐿𝑃 = 𝐼 𝑃𝐿 =
0,4𝑥0,43
12
= 𝟐, 𝟏𝟑𝒙𝟏𝟎−𝟑
𝐼 𝑀𝑁 = 𝐼 𝑁𝑀 = 𝐼 𝑁𝑂 = 𝐼 𝑂𝑁 = 𝐼 𝑂𝑃 = 𝐼 𝑃𝑂 =
0,4𝑥0,453
12
= 𝟑, 𝟎𝟒𝒙𝟏𝟎−𝟑
4 Y 5 PISO
𝐼 𝑀𝑄 = 𝐼 𝑄𝑀 = 𝐼 𝑁𝑅 = 𝐼 𝑅𝑁 = 𝐼 𝑂𝑆 = 𝐼 𝑆𝑂 = 𝐼 𝑃𝑇 = 𝐼 𝑇𝑃 = 𝐼 𝑄𝑈 = 𝐼 𝑈𝑄 = 𝐼 𝑅𝑉 = 𝐼 𝑉𝑅 = 𝐼 𝑆𝑊 = 𝐼 𝑊𝑆 = 𝐼 𝑇𝑋
= 𝐼 𝑋𝑇 =
0,3𝑥0,33
12
= 𝟔, 𝟕𝟓𝒙𝟏𝟎−𝟒

5. 𝐼 𝑄𝑅 = 𝐼 𝑅𝑄 = 𝐼 𝑅𝑆 = 𝐼 𝑆𝑅 = 𝐼 𝑆𝑇 = 𝐼 𝑇𝑆 = 𝐼 𝑈𝑉 = 𝐼 𝑉𝑈 = 𝐼 𝑉𝑊 = 𝐼 𝑊𝑉 = 𝐼 𝑊𝑋 = 𝐼 𝑋𝑊 =
0,3𝑥0,43
12
= 𝟏, 𝟔𝒙𝟏𝟎−𝟑
2- MÓDULO DE ELASTICIDAD
- Columnas = 4700x√42 = 30459,48
- Vigas = 4700x√35 = 27805,57
3- RIGIDEZ
1 PISO
𝐾𝐴𝐸 = 𝐾𝐸𝐴 = 𝐾 𝐵𝐹 = 𝐾𝐹𝐵 = 𝐾𝐶𝐺 = 𝐾𝐺𝐶 = 𝐾 𝐷𝐻 = 𝐾 𝐻𝐷 =
3
4
𝑥
5,21𝑥10−3 𝑥 30459,48
4
= 𝟐𝟗, 𝟕𝟔
𝐾𝐸𝐹 = 𝐾𝐹𝐸 =
9𝑥10−3 𝑥27805,57
5
= 𝟓𝟎, 𝟎𝟓
𝐾𝐹𝐺 = 𝐾𝐺𝐹 =
9𝑥10−3 𝑥27805,57
6
= 𝟒𝟏, 𝟕𝟏
𝐾𝐺𝐻 = 𝐾 𝐻𝐺 =
9𝑥10−3 𝑥27805,57
4
= 𝟔𝟐, 𝟓𝟔
2 PISO
𝐾𝐸𝐼 = 𝐾𝐼𝐸 = 𝐾𝐹𝐽 = 𝐾𝐽𝐹 = 𝐾𝐺𝐾 = 𝐾 𝐾𝐺 = 𝐾 𝐻𝐿 = 𝐾𝐿𝐻 =
3
4
𝑥
3,42𝑥10−3 𝑥 30459,48
5
= 𝟏𝟓, 𝟔𝟑
𝐾𝐼𝐽 = 𝐾𝐽𝐼 =
4,69𝑥10−3 𝑥27805,57
5
= 𝟐𝟔, 𝟎𝟖
𝐾𝐽𝐾 = 𝐾 𝐾𝐽 =
4,69𝑥10−3 𝑥27805,57
6
= 𝟐𝟏, 𝟕𝟑
𝐾 𝐾𝐿 = 𝐾𝐿𝐾 =
4,69𝑥10−3 𝑥27805,57
4
= 𝟑𝟐, 𝟔
3 PISO
𝐾𝐼𝑀 = 𝐾 𝑀𝐼 = 𝐾𝐽𝑁 = 𝐾 𝑁𝐽 = 𝐾 𝐾𝑂 = 𝐾 𝑂𝐾 = 𝐾𝐿𝑃 = 𝐾𝑃𝐿 =
3
4
𝑥
2,13𝑥10−3 𝑥 30459,48
4
= 𝟏𝟐, 𝟏𝟔
𝐾 𝑀𝑁 = 𝐾 𝑁𝑀 =
3,04𝑥10−3 𝑥27805,57
5
= 𝟏𝟔, 𝟗𝟏
𝐾 𝑁𝑂 = 𝐾 𝑂𝑁 =
3,04𝑥10−3 𝑥27805,57
6
= 𝟏𝟒, 𝟏
𝐾 𝑂𝑃 = 𝐾𝑃𝑂 =
3,04𝑥10−3 𝑥27805,57
4
= 𝟐𝟏, 𝟏𝟑
4 Y 5 PISO
𝐾 𝑀𝑄 = 𝐾 𝑄𝑀 = 𝐾 𝑁𝑅 = 𝐾𝑅𝑁 = 𝐾 𝑂𝑆 = 𝐾𝑆𝑂 = 𝐾𝑃𝑇 = 𝐾 𝑇𝑃 = 𝐾 𝑄𝑈 = 𝐾 𝑈𝑄 = 𝐾𝑅𝑉 = 𝐾𝑉𝑅 = 𝐾𝑆𝑊
= 𝐾 𝑊𝑆 = 𝐾 𝑇𝑋 = 𝐾 𝑋𝑇 =
3
4
𝑥
6,75𝑥10−4 𝑥 30459,48
4
= 𝟑, 𝟖𝟔
𝐾 𝑄𝑅 = 𝐾𝑅𝑄 = 𝐾 𝑈𝑉 = 𝐾𝑉𝑈 =
1,6𝑥10−3 𝑥27805,57
5
= 𝟖, 𝟗
𝐾𝑅𝑆 = 𝐾𝑆𝑅 = 𝐾𝑉𝑊 = 𝐾 𝑊𝑉 =
1,6𝑥10−3 𝑥 27805,57
6
= 𝟕, 𝟒𝟐

6. 𝐾𝑆𝑇 = 𝐾 𝑇𝑆 = 𝐾 𝑊𝑋 = 𝐾 𝑋𝑊 =
1,6𝑥10−3 𝑥 27805,57
4
= 𝟏𝟏, 𝟏𝟐
4- MOMENTO DE EMPOTRAMIENTO PERFECTO
𝑀 𝐸𝐹 =
24,16 𝑥 52
12
= 𝟓𝟎, 𝟑𝟑 𝑀 𝐹𝐸 = −𝑀 𝐸𝐹 = −𝟓𝟎, 𝟑𝟑
𝑀 𝐹𝐺 =
53,68 𝑥 62
12
= 𝟏𝟔𝟏, 𝟎𝟒 𝑀 𝐺𝐹 = −𝑀 𝐹𝐺 = −𝟏𝟔𝟏,𝟎𝟒
𝑀 𝐺𝐻 =
40,26 𝑥 42
12
= 𝟓𝟑, 𝟔𝟖 𝑀 𝐻𝐺 = −𝑀 𝐺𝐻 = −𝟓𝟑, 𝟔𝟖
𝑀𝐼𝐽 = 𝑀 𝑀𝑁 = 𝑀 𝑄𝑅 =
20,64 𝑥 5
12
= 𝟒𝟑 𝑀𝐽𝐼, 𝑀 𝑁𝑀, 𝑀 𝑅𝑄 = −𝑀𝐼𝐽 = −𝟒𝟑
𝑀𝐽𝐾 = 𝑀 𝑁𝑂 = 𝑀 𝑅𝑆 =
45,87 𝑥 62
12
= 𝟏𝟑𝟕, 𝟔𝟏 𝑀 𝐾𝐽, 𝑀 𝑂𝑁,𝑀 𝑆𝑅 = −𝑀𝐽𝐾 = −𝟏𝟑𝟕, 𝟔𝟏
𝑀 𝑀𝑁 = 𝑀 𝑄𝑅 = 𝑀 𝑉𝑊 =
34,4 𝑥 42
12
= 𝟒𝟓, 𝟗 𝑀 𝐿𝐾, 𝑀 𝑃𝑂,𝑀 𝑇𝑆 = −𝑀 𝐾𝐿 = −𝟒𝟓, 𝟗
𝑀 𝑈𝑉 =
11,9 𝑥 52
12
= 𝟐𝟒, 𝟖 𝑀 𝑉𝑈 = −𝑀 𝑈𝑉 = −𝟐𝟒, 𝟖
𝑀 𝑉𝑊 =
26,45 𝑥 62
12
= 𝟕𝟗, 𝟑𝟓 𝑀 𝑊𝑉 = −𝑀 𝑉𝑊 = −𝟕𝟗, 𝟑𝟓
𝑀 𝑊𝑋 =
19,84 𝑥 42
12
= 𝟐𝟔, 𝟒𝟓 𝑀 𝑋𝑊 = −𝑀 𝑊𝑋 = −𝟐𝟔, 𝟒𝟓
5- COEFICIENTE DE DISTRIBUCIÓN
-𝛾 𝐴𝐸 = 𝛾 𝐵𝐹 = 𝛾 𝐶𝐺 = 𝛾 𝐷𝐻 = 𝟎
-𝛾 𝐸𝐴 =
𝐾 𝐸𝐴
𝐾 𝐸𝐴 +𝐾 𝐸𝐹+𝐾 𝐸𝐼
=
29,76
29,76+50,05+15,63
= 𝟎, 𝟑𝟏
𝛾 𝐷𝐸 = 𝟎, 𝟓𝟑 𝛾 𝐷𝐺 = 𝟎, 𝟏𝟔
-𝛾 𝐹𝐸 =
𝐾 𝐹𝐸
𝐾 𝐹𝐸 +𝐾 𝐹𝐽+𝐾 𝐹𝐺+𝐾 𝐹𝐵
=
50,05
50,05+15,63+41,71+29,76
= 𝟎, 𝟑𝟔
𝛾 𝐹𝐽 = 𝟎, 𝟏𝟏 𝛾 𝐹𝐺 = 𝟎, 𝟑𝟏 𝛾 𝐹𝐵 = 𝟎, 𝟐𝟐
-𝛾 𝐺𝐹 =
𝐾 𝐺𝐹
𝐾 𝐺𝐹+𝐾 𝐺𝐾+𝐾 𝐺𝐻+𝐾 𝐺𝐶
=
41 ,71
41,71+15,63+62,56+29,76
= 𝟎, 𝟐𝟖
𝛾 𝐺𝐾 = 𝟎, 𝟏 𝛾 𝐺𝐻 = 𝟎, 𝟒𝟐 𝛾 𝐺𝐶 = 𝟎, 𝟐
-𝛾 𝐻𝐺 =
𝐾 𝐻𝐺
𝐾 𝐻𝐺+𝐾 𝐻𝐷+𝐾 𝐻𝐿
=
62,56
62,56+29,76+15,63
= 𝟎, 𝟓𝟖
𝛾 𝐻𝐷 = 𝟎, 𝟓𝟑 𝛾 𝐻𝐿 = 𝟎, 𝟏𝟒
-𝛾 𝐼𝐸 =
𝐾𝐼𝐸
𝐾𝐼𝐸+𝐾𝐼𝐽+𝐾𝐼𝑀
=
15,63
15,63+26,08+12,16
= 𝟎, 𝟐𝟗
𝛾 𝐼𝐽 = 𝟎, 𝟒𝟖 𝛾 𝐼𝑀 = 𝟎, 𝟐𝟑
-𝛾𝐽𝐼 =
𝐾𝐽𝐼
𝐾𝐽𝐼+𝐾𝐽𝑁+𝐾𝐽𝐾+𝐾𝐽𝐹
=
26,08
26,08+12,16+21,73+15,63
= 𝟎, 𝟑𝟓
𝛾𝐽𝑁 = 𝟎, 𝟏𝟔 𝛾𝐽𝐾 = 𝟎, 𝟐𝟖 𝛾𝐽𝐹 = 𝟎, 𝟐𝟏
-𝛾 𝐾𝐽 =
𝐾 𝐾𝐽
𝐾 𝐾𝐽+𝐾 𝐾𝑂+𝐾 𝐾𝐿+𝐾 𝐾𝐺
=
21,73
21,73+12,16+32,6+15,63
= 𝟎, 𝟐𝟔
𝛾 𝐾𝑂 = 𝟎, 𝟏𝟓 𝛾 𝐾𝐿 = 𝟎, 𝟒 𝛾 𝐾𝐺 = 𝟎, 𝟏𝟗

7. -𝛾 𝐿𝐾 =
𝐾 𝐿𝐾
𝐾 𝐿𝐾 +𝐾 𝐿𝐻+𝐾 𝐿𝑃
=
32,6
32,6+15,63+12,16
= 𝟎, 𝟓𝟒
𝛾 𝐿𝐻 = 𝟎, 𝟐𝟔 𝛾 𝐿𝑃 = 𝟎, 𝟐
-𝛾 𝑀𝐼 =
𝐾 𝑀𝐼
𝐾 𝑀𝐼+𝐾 𝑀𝑁+𝐾 𝑀𝑄
=
12,16
12,16+16,9+3,86
= 𝟎, 𝟑𝟕
𝛾 𝑀𝑁 = 𝟎, 𝟓𝟏 𝛾 𝑀𝑄 = 𝟎, 𝟏𝟐
-𝛾 𝑁𝑀 =
𝐾 𝑁𝑀
𝐾 𝑁𝑀+𝐾 𝑁𝑅+𝐾 𝑁𝑂+𝐾 𝑁𝐽
=
16,91
16,91+3,85+14,1+12,16
= 𝟎, 𝟑𝟔
𝛾 𝑁𝑅 = 𝟎, 𝟎𝟖 𝛾 𝑁𝑂 = 𝟎, 𝟑 𝛾 𝐾𝐺 = 𝟎, 𝟐𝟔
-𝛾 𝑂𝑁 =
𝐾 𝑂𝑁
𝐾 𝑂𝑁+𝐾 𝑂𝑆+𝐾 𝑂𝑃+𝐾 𝑂𝐾
=
14,1
14,1+3,85+21,13+12,16
= 𝟎, 𝟐𝟖
𝛾 𝑂𝑆 = 𝟎, 𝟎𝟖 𝛾 𝑂𝑃 = 𝟎, 𝟒𝟏 𝛾 𝑂𝐾 = 𝟎, 𝟐𝟑
-𝛾 𝑃𝑂 =
𝐾 𝑃𝑂
𝐾 𝑃𝑂+𝐾 𝑃𝑇+𝐾 𝑃𝐿
=
21,13
21,13+3,86+12,16
= 𝟎, 𝟓𝟕
𝛾 𝑃𝑇 = 𝟎, 𝟏 𝛾 𝑃𝐿 = 𝟎, 𝟑𝟑
-𝛾 𝑄𝑀 =
𝐾 𝑄𝑀
𝐾 𝑄𝑀+𝐾 𝑄𝑅+𝐾 𝑄𝑈
=
3,86
3,86+8,89+3,86
= 𝟎, 𝟐𝟑
𝛾 𝑄𝑅 = 𝟎, 𝟓𝟒 𝛾 𝑄𝑈 = 𝟎, 𝟐𝟑
-𝛾 𝑅𝑄 =
𝐾 𝑅𝑄
𝐾 𝑅𝑄+𝐾 𝑅𝑉+𝐾 𝑅𝑆+𝐾 𝑅𝑁
=
8,89
8,89+3,86+7,42+3,86
= 𝟎, 𝟑𝟕
𝛾 𝑅𝑉 = 𝟎, 𝟏𝟔 𝛾 𝑅𝑆 = 𝟎, 𝟑𝟏 𝛾 𝑅𝑁 = 𝟎, 𝟏𝟔
-𝛾 𝑆𝑅 =
𝐾 𝑆𝑅
𝐾 𝑆𝑅+𝐾 𝑆𝑊+𝐾 𝑆𝑇+𝐾 𝑆𝑂
=
7,42
7,42+3,86+11,12+3,86
= 𝟎, 𝟐𝟖
𝛾 𝑆𝑊 = 𝟎, 𝟏𝟓 𝛾 𝑆𝑇 = 𝟎, 𝟒𝟐 𝛾 𝑆𝑂 = 𝟎, 𝟏𝟓
-𝛾 𝑇𝑆 =
𝐾 𝑇𝑆
𝐾 𝑇𝑆+𝐾 𝑇𝑋+𝐾 𝑇𝑃
=
11,12
11,12+3,86+3,86
= 𝟎, 𝟔𝟎
𝛾 𝑇𝑋 = 𝟎, 𝟐 𝛾 𝑇𝑃 = 𝟎, 𝟐
-𝛾 𝑈𝑄 =
𝐾 𝑈𝑄
𝐾 𝑈𝑄+𝐾 𝑈𝑉
=
3,86
3,86+8,89
= 𝟎, 𝟑 𝛾 𝑈𝑉 = 𝟎, 𝟕
-𝛾 𝑉𝑈 =
𝐾 𝑉𝑈
𝐾 𝑉𝑈+𝐾 𝑉𝑅+𝐾 𝑉𝑊
=
8,89
8,89+3,86+7,42
= 𝟎, 𝟒𝟒
𝛾 𝑉𝑅 = 𝟎, 𝟏𝟕 𝛾 𝑉𝑊 = 𝟎, 𝟑𝟔
-𝛾 𝑊𝑉 =
𝐾 𝑊𝑉
𝐾 𝑊𝑉+𝐾 𝑊𝑆+𝐾 𝑊𝑋
=
7,42
7,42+3,86+11,2
= 𝟎, 𝟑𝟑
𝛾 𝑊𝑆 = 𝟎, 𝟏𝟕 𝛾 𝑊𝑋 = 𝟎, 𝟓
-𝛾 𝑋𝑊 =
𝐾 𝑋𝑊
𝐾 𝑋𝑊+𝐾 𝑋𝑇
=
11,12
11,12+3,86
= 𝟎, 𝟕𝟒 𝛾 𝑋𝑇 = 𝟎, 𝟐𝟔

8. SECCIÓN3
1- INERCIAS
1 PISO
𝐼𝐴𝐹 = 𝐼 𝐹𝐴 = 𝐼 𝐵𝐺 = 𝐼 𝐺𝐵 = 𝐼 𝐶𝐻 = 𝐼 𝐻𝐶 = 𝐼 𝐷𝐼 = 𝐼𝐼𝐷 = 𝐼 𝐸𝐽 = 𝐼𝐽𝐸 =
0,5𝑥0,53
12
= 𝟓, 𝟐𝟏𝒙𝟏𝟎−𝟑
𝐼 𝐹𝐺 = 𝐼 𝐺𝐹 = 𝐼 𝐺𝐻 = 𝐼 𝐻𝐺 = 𝐼 𝐻𝐼 = 𝐼𝐼𝐻 = 𝐼𝐼𝐽 = 𝐼𝐽𝐼 =
0,5𝑥0,63
12
= 𝟗𝒙𝟏𝟎−𝟑
2 PISO
𝐼 𝐹𝐾 = 𝐼 𝐾𝐹 = 𝐼 𝐺𝐿 = 𝐼 𝐿𝐺 = 𝐼 𝐻𝑀 = 𝐼 𝑀𝐻 = 𝐼𝐼𝑁 = 𝐼 𝑁𝐼 = 𝐼𝐽𝑂 = 𝐼 𝑂𝐽 =
0,45𝑥0,453
12
= 𝟑, 𝟒𝟐𝒙𝟏𝟎−𝟑
𝐼 𝐾𝐿 = 𝐼 𝐿𝐾 = 𝐼 𝐿𝑀 = 𝐼 𝑀𝐿 = 𝐼 𝑀𝑁 = 𝐼 𝑁𝑀 = 𝐼 𝑁𝑂 = 𝐼 𝑂𝑁 =
0,45𝑥0,53
12
= 𝟒, 𝟔𝟗𝒙𝟏𝟎−𝟑
3 PISO
𝐼 𝐾𝑃 = 𝐼 𝑃𝐾 = 𝐼 𝐿𝑄 = 𝐼 𝑄𝐿 = 𝐼 𝑀𝑅 = 𝐼 𝑅𝑀 = 𝐼 𝑁𝑆 = 𝐼 𝑆𝑁 = 𝐼 𝑂𝑇 = 𝐼 𝑇𝑂 =
0,4𝑥0,43
12
= 𝟐, 𝟏𝟑𝒙𝟏𝟎−𝟑
𝐼 𝑃𝑄 = 𝐼 𝑄𝑃 = 𝐼 𝑄𝑅 = 𝐼 𝑅𝑄 = 𝐼 𝑅𝑆 = 𝐼 𝑆𝑅 = 𝐼 𝑆𝑇 = 𝐼 𝑇𝑆 =
0,4𝑥0,453
12
= 𝟑, 𝟎𝟒𝒙𝟏𝟎−𝟑
4 Y 5 PISO
𝐼 𝑃𝑈 = 𝐼 𝑈𝑃 = 𝐼 𝑄𝑉 = 𝐼 𝑉𝑄 = 𝐼 𝑅𝑊 = 𝐼 𝑊𝑅 = 𝐼 𝑆𝑋 = 𝐼 𝑋𝑆 = 𝐼 𝑇𝑌 = 𝐼 𝑌𝑇 = 𝐼 𝑈𝑍 = 𝐼 𝑍𝑈 = 𝐼 𝑉𝐴′ = 𝐼𝐴′𝑉 = 𝐼 𝑊𝐵′
= 𝐼 𝐵′𝑊 = 𝐼 𝑋𝐶′ = 𝐼 𝐶′𝑋 = 𝐼 𝑌𝐷′ = 𝐼 𝐷′𝑌 =
0,3𝑥0,33
12
= 𝟔, 𝟕𝟓𝒙𝟏𝟎−𝟒
𝐼 𝑈𝑉 = 𝐼 𝑉𝑈 = 𝐼 𝑉𝑊 = 𝐼 𝑊𝑉 = 𝐼 𝑊𝑋 = 𝐼 𝑋𝑊 = 𝐼 𝑋𝑌 = 𝐼 𝑌𝑋 = 𝐼 𝑍𝐴′ = 𝐼𝐴´𝑍 = 𝐼𝐴′𝐵′ = 𝐼 𝐵′𝐴′ = 𝐼 𝐵′𝐶′ = 𝐼 𝐶′𝐵′
= 𝐼 𝐶′𝐷′ = 𝐼 𝐷′𝐶′ =
0,3𝑥0,43
12
= 𝟏, 𝟔𝒙𝟏𝟎−𝟑
2- MÓDULO DE ELASTICIDAD
- Columnas = 4700x√42 = 30459,48
- Vigas = 4700x√35 = 27805,57

9. 3- RIGIDEZ
1 PISO
𝐾𝐴𝐹 = 𝐾𝐹𝐴 = 𝐾 𝐵𝐺 = 𝐾𝐺𝐵 = 𝐾𝐶𝐻 = 𝐾 𝐻𝐶 = 𝐾 𝐷𝐼 = 𝐾𝐼𝐷 = 𝐾𝐸𝐽 = 𝐾𝐽𝐸 =
3
4
𝑥
5,21𝑥10−3 𝑥 30459,48
4
= 𝟐𝟗, 𝟕𝟔
𝐾𝐹𝐺 = 𝐾𝐺𝐹 =
9𝑥10−3 𝑥27805,57
5
= 𝟓𝟎, 𝟎𝟓
𝐾𝐺𝐻 = 𝐾 𝐻𝐺 = 𝐾𝐼𝐽 = 𝐾𝐽𝐼 =
9𝑥10−3 𝑥27805,57
6
= 𝟒𝟏, 𝟕𝟏
𝐾 𝐻𝐼 = 𝐾𝐼𝐻 =
9𝑥10−3 𝑥27805,57
4
= 𝟔𝟐, 𝟓𝟔
2 PISO
𝐾𝐹𝐾 = 𝐾 𝐾𝐹 = 𝐾𝐺𝐿 = 𝐾𝐿𝐺 = 𝐾 𝐻𝑀 = 𝐾 𝑀𝐻 = 𝐾𝐼𝑁 = 𝐾 𝑁𝐼 = 𝐾𝐽𝑂 = 𝐾 𝑂𝐽 =
3
4
𝑥
3,42𝑥10−3 𝑥 30459,48
5
= 𝟏𝟓, 𝟔𝟑
𝐾 𝐾𝐿 = 𝐾𝐿𝐾 =
4,69𝑥10−3 𝑥27805,57
5
= 𝟐𝟔, 𝟎𝟖
𝐾𝐿𝑀 = 𝐾 𝑀𝐿 = 𝐾 𝑁𝑂 = 𝐾 𝑂𝑁 =
4,69𝑥10−3 𝑥27805,57
6
= 𝟐𝟏, 𝟕𝟑
𝐾 𝑀𝑁 = 𝐾 𝑁𝑀 =
4,69𝑥10−3 𝑥27805,57
4
= 𝟑𝟐, 𝟔
3 PISO
𝐾 𝐾𝑃 = 𝐾𝑃𝐾 = 𝐾𝐿𝑄 = 𝐾 𝑄𝐿 = 𝐾 𝑀𝑅 = 𝐾𝑅𝑀 = 𝐾 𝑁𝑆 = 𝐾𝑆𝑁 = 𝐾 𝑂𝑇 = 𝐾 𝑇𝑂
=
3
4
𝑥
2,13𝑥10−3 𝑥 30459,48
4
= 𝟏𝟐, 𝟏𝟔
𝐾𝑃𝑄 = 𝐾 𝑄𝑃 =
3,04𝑥10−3 𝑥27805,57
5
= 𝟏𝟔,𝟗𝟏
𝐾 𝑄𝑅 = 𝐾𝑅𝑄 =
3,04𝑥10−3 𝑥27805,57
6
= 𝟏𝟒, 𝟏
𝐾𝑅𝑆 = 𝐾𝑆𝑅 =
3,04𝑥10−3 𝑥27805,57
4
= 𝟐𝟏, 𝟏𝟑
4 Y 5 PISO
𝐾𝑃𝑈 = 𝐾 𝑈𝑃 = 𝐾 𝑄𝑉 = 𝐾𝑉𝑄 = 𝐾𝑅𝑊 = 𝐾 𝑊𝑅 = 𝐾𝑆𝑋 = 𝐾 𝑋𝑆 = 𝐾 𝑇𝑌 = 𝐾𝑌𝑇 = 𝐾 𝑈𝑍 = 𝐾𝑍𝑈 = 𝐾𝑉𝐴′
= 𝐾𝐴′𝑉 = 𝐾 𝑊𝐵′ = 𝐾 𝐵′𝑊 = 𝐾 𝑋𝐶′ = 𝐾𝐶′𝑋 = 𝐾𝑌𝐷′ = 𝐾 𝐷′𝑌
=
3
4
𝑥
6,75𝑥10−4 𝑥 30459,48
4
= 𝟑, 𝟖𝟔
𝐾 𝑈𝑉 = 𝐾𝑉𝑈 = 𝐾𝑍𝐴′ = 𝐾𝐴′𝑍 =
1,6𝑥10−3 𝑥27805,57
5
= 𝟖, 𝟗
𝐾𝑉𝑊 = 𝐾 𝑊𝑉 = 𝐾𝐴′𝐵′ = 𝐾 𝐵′𝐴′ =
1,6𝑥10−3 𝑥 27805,57
6
= 𝟕, 𝟒𝟐
𝐾 𝑊𝑋 = 𝐾 𝑋𝑊 = 𝐾 𝐵′𝐶′ = 𝐾𝐶′𝐵′ =
1,6𝑥10−3 𝑥 27805,57
4
= 𝟏𝟏, 𝟏𝟐
4- MOMENTO DE EMPOTRAMIENTO PERFECTO
𝑀 𝐹𝐺 =
49,32 𝑥 52
12
= 𝟏𝟎𝟐, 𝟕𝟓 𝑀 𝐺𝐹 = −𝑀 𝐹𝐺 = −𝟏𝟎𝟐, 𝟕𝟓

10. 𝑀 𝐺𝐻 =
53,68 𝑥 62
12
= 𝟏𝟔𝟏,𝟎𝟒 𝑀 𝐻𝐺 = −𝑀 𝐺𝐻 = −𝟏𝟔𝟏,𝟎𝟒
𝑀 𝐻𝐼 =
40,26 𝑥 42
12
= 𝟓𝟑, 𝟔𝟖 𝑀𝐼𝐻 = −𝑀 𝐻𝐼 = −𝟓𝟑, 𝟔𝟖
𝑀𝐼𝐽 =
26,84 𝑥 62
12
= 𝟖𝟎, 𝟓𝟐 𝑀𝐽𝐼 = −𝑀𝐼𝐽 = −𝟖𝟎, 𝟓𝟐
𝑀 𝐾𝐿 = 𝑀 𝑃𝑄 = 𝑀 𝑈𝑉 =
42,14 𝑥 5
12
= 𝟖𝟕, 𝟖 𝑀 𝐿𝐾, 𝑀 𝑄𝑃,𝑀 𝑉𝑈 = −𝑀 𝐾𝐿 = −𝟖𝟕, 𝟖
𝑀 𝐿𝑀 = 𝑀 𝑄𝑅 = 𝑀 𝑉𝑊 =
45,87 𝑥 62
12
= 𝟏𝟑𝟕, 𝟔𝟏 𝑀 𝑀𝐿, 𝑀 𝑅𝑄,𝑀 𝑉𝑊 = −𝑀𝐿𝑀 = −𝟏𝟑𝟕,𝟔𝟏
𝑀 𝑀𝑁 = 𝑀 𝑅𝑆 = 𝑀 𝑊𝑋 =
34,4 𝑥 42
12
= 𝟒𝟓, 𝟗 𝑀 𝑁𝑀, 𝑀 𝑅𝑆, 𝑀 𝑊𝑋 = −𝑀 𝑀𝑁 = −𝟒𝟓, 𝟗
𝑀 𝑁𝑂 = 𝑀 𝑆𝑇 = 𝑀 𝑋𝑌 =
22,93 𝑥 62
12
= 𝟔𝟖, 𝟕𝟑 𝑀 𝑂𝑁,𝑀 𝑇𝑆,𝑀 𝑌𝑋 = −𝑀 𝑁𝑂 = −𝟔𝟖, 𝟕𝟑
𝑀 𝑍𝐴′ =
24,3 𝑥 52
12
= 𝟓𝟎, 𝟔𝟑 𝑀𝐴′𝑍 = −𝑀 𝑍𝐴′ = −𝟓𝟎, 𝟔𝟑
𝑀𝐴′𝐵′ =
26,45 𝑥 62
12
= 𝟕𝟗, 𝟑𝟓 𝑀 𝐵′𝐴′ = −𝑀𝐴′𝐵′ = −𝟕𝟗, 𝟑𝟓
𝑀 𝐵′𝐶′ =
19,84 𝑥 42
12
= 𝟐𝟔, 𝟒𝟓 𝑀 𝐶′𝐵′ = −𝑀 𝐵′𝐶′ = −𝟐𝟔, 𝟒𝟓
𝑀 𝐶′𝐷′ =
13,22 𝑥 62
12
= 𝟑𝟗, 𝟔𝟔 𝑀 𝐷′𝐶′ = −𝑀 𝐶′𝐷′ = −𝟑𝟗, 𝟔𝟔
5- COEFICIENTE DE DISTRIBUCIÓN
-𝛾 𝐴𝐹 = 𝛾 𝐵𝐺 = 𝛾 𝐶𝐻 = 𝛾 𝐷𝐼 = 𝛾 𝐸𝐽 = 𝟎
-𝛾 𝐹𝐴 =
𝐾 𝐹𝐴
𝐾 𝐹𝐴 +𝐾 𝐹𝐺+𝐾 𝐹𝐾
=
29,76
29,76+50,05+15,63
= 𝟎, 𝟑𝟏
𝛾 𝐹𝐺 = 𝟎, 𝟓𝟑 𝛾 𝐹𝐾 = 𝟎, 𝟏𝟔
-𝛾 𝐺𝐹 =
𝐾 𝐺𝐹
𝐾 𝐺𝐹+𝐾 𝐺𝐿+𝐾 𝐺𝐻+𝐾 𝐺𝐵
=
50,05
50,05+15,63+41,71+29,76
= 𝟎, 𝟑𝟔
𝛾 𝐺𝐿 = 𝟎, 𝟏𝟏 𝛾 𝐺𝐻 = 𝟎, 𝟑𝟏 𝛾 𝐺𝐵 = 𝟎, 𝟐𝟐
-𝛾 𝐻𝐺 =
𝐾 𝐻𝐺
𝐾 𝐻𝐺+𝐾 𝐻𝑀+𝐾 𝐻𝐼+𝐾 𝐻𝐶
=
41,71
41,71+15,63+62,56+29,76
= 𝟎, 𝟐𝟖
𝛾 𝐻𝑀 = 𝟎, 𝟏 𝛾 𝐻𝐼 = 𝟎, 𝟒𝟐 𝛾 𝐻𝐶 = 𝟎, 𝟐
-𝛾 𝐼𝐻 =
𝐾𝐼𝐻
𝐾𝐼𝐻+𝐾𝐼𝑁+𝐾𝐼𝐽+𝐾𝐼𝐷
=
62,56
62,56+15,63+41,71+29,76
= 𝟎, 𝟒𝟐
𝛾 𝐼𝑁 = 𝟎, 𝟏 𝛾 𝐼𝐽 = 𝟎, 𝟐𝟖 𝛾 𝐼𝐷 = 𝟎, 𝟐
-𝛾𝐽𝐼 =
𝐾𝐽𝐼
𝐾𝐽𝐼+𝐾𝐽𝑂+𝐾𝐽𝐸
=
41,71
41,71+15,63+29,76
= 𝟎, 𝟒𝟖
𝛾𝐽𝑂 = 𝟎, 𝟏𝟖 𝛾𝐽𝐸 = 𝟎, 𝟑𝟒
-𝛾 𝐾𝐹 =
𝐾 𝐾𝐹
𝐾 𝐾𝐹+𝐾 𝐾𝐿+𝐾 𝐾𝑃
=
15,63
15,63+26,08+12,16
= 𝟎, 𝟐𝟗
𝛾 𝐾𝐿 = 𝟎, 𝟒𝟖 𝛾 𝐾𝑃 = 𝟎, 𝟐𝟑
-𝛾 𝐿𝐾 =
𝐾 𝐿𝐾
𝐾 𝐿𝐾 +𝐾 𝐿𝑄+𝐾 𝐿𝑀+𝐾 𝐿𝐺
=
26,08
26,08+12,16+21,73+15,63
= 𝟎, 𝟑𝟒
𝛾 𝐿𝑄 = 𝟎, 𝟏𝟔 𝛾 𝐿𝑀 = 𝟎, 𝟑 𝛾 𝐿𝐺 = 𝟎, 𝟐
-𝛾 𝑀𝐿 =
𝐾 𝑀𝐿
𝐾 𝑀𝐿+𝐾 𝑀𝑅+𝐾 𝑀𝑁+𝐾 𝑀𝐻
=
26,08
26,08+12,16+21,73+15,63
= 𝟎, 𝟐𝟔

11. 𝛾 𝑀𝑅 = 𝟎, 𝟏𝟓 𝛾 𝑀𝑁 = 𝟎, 𝟒 𝛾 𝑀𝐻 = 𝟎, 𝟏𝟗
-𝛾 𝑁𝑀 =
𝐾 𝑁𝑀
𝐾 𝑁𝑀+𝐾 𝑁𝑆+𝐾 𝑁𝑂+𝐾 𝑁𝐼
=
26,08
26,08+12,16+21,73+15,63
= 𝟎, 𝟒
𝛾 𝑁𝑆 = 𝟎, 𝟏𝟓 𝛾 𝑁𝑂 = 𝟎, 𝟐𝟔 𝛾 𝑁𝐼 = 𝟎, 𝟏𝟗
-𝛾 𝑂𝑁 =
𝐾 𝑂𝑁
𝐾 𝑂𝑁+𝐾 𝑂𝑇+𝐾 𝑂𝐽
=
21,73
21,73+12,16+15,63
= 𝟎, 𝟒𝟒
𝛾 𝑂𝑇 = 𝟎, 𝟐𝟓 𝛾 𝑂𝐽 = 𝟎, 𝟑𝟏
-𝛾 𝑃𝐾 =
𝐾 𝑃𝐾
𝐾 𝑃𝐾+𝐾 𝑃𝑄+𝐾 𝑃𝑈
=
12,16
12,16+16,91+3,86
= 𝟎, 𝟑𝟕
𝛾 𝑃𝑄 = 𝟎, 𝟓𝟏 𝛾 𝑃𝑈 = 𝟎, 𝟏𝟐
-𝛾 𝑄𝑃 =
𝐾 𝑄𝑃
𝐾 𝑄𝑃+𝐾 𝑄𝑉+𝐾 𝑄𝑅+𝐾 𝑄𝐿
=
16,91
16,91+3,86+14,1+12,16
= 𝟎, 𝟑𝟔
𝛾 𝑄𝑉 = 𝟎, 𝟎𝟖 𝛾 𝑄𝑅 = 𝟎, 𝟑 𝛾 𝑄𝐿 = 𝟎, 𝟐𝟔
-𝛾 𝑅𝑄 =
𝐾 𝑅𝑄
𝐾 𝑅𝑄+𝐾 𝑅𝑊+𝐾 𝑅𝑆+𝐾 𝑅𝑀
=
14 ,1
14,1+3,86+21,13+12,16
= 𝟎, 𝟐𝟖
𝛾 𝑅𝑊 = 𝟎, 𝟎𝟖 𝛾 𝑅𝑆 = 𝟎, 𝟒𝟏 𝛾 𝑅𝑀 = 𝟎, 𝟐𝟑
-𝛾 𝑆𝑅 =
𝐾 𝑆𝑅
𝐾 𝑆𝑅+𝐾 𝑆𝑋+𝐾 𝑆𝑇+𝐾 𝑆𝑁
=
21,13
21,13+3,86+14,1+12,16
= 𝟎, 𝟒𝟏
𝛾 𝑆𝑋 = 𝟎, 𝟎𝟖 𝛾 𝑆𝑇 = 𝟎, 𝟐𝟖 𝛾𝑆𝑁 = 𝟎, 𝟐𝟑
-𝛾 𝑇𝑆 =
𝐾 𝑇𝑆
𝐾 𝑇𝑆+𝐾 𝑇𝑌+𝐾 𝑇𝑂
=
14,1
14,1+3,86+12,16
= 𝟎, 𝟒𝟕
𝛾 𝑇𝑌 = 𝟎, 𝟏𝟑 𝛾 𝑇𝑂 = 𝟎, 𝟒
-𝛾 𝑈𝑃 =
𝐾 𝑈𝑃
𝐾 𝑈𝑃 +𝐾 𝑈𝑉+𝐾 𝑈𝑍
=
3,86
3,86+8,89+3,86
= 𝟎, 𝟐𝟑
𝛾 𝑈𝑉 = 𝟎, 𝟓𝟒 𝛾 𝑈𝑍 = 𝟎, 𝟐𝟑
-𝛾 𝑉𝑈 =
𝐾 𝑉𝑈
𝐾 𝑉𝑈+𝐾 𝑉𝐴′+𝐾 𝑉𝑊+𝐾 𝑉𝑄
=
8,89
8,89+3,86+7,42+3,86
= 𝟎, 𝟑𝟕
𝛾 𝑉𝐴′ = 𝟎, 𝟏𝟔 𝛾 𝑉𝑊 = 𝟎, 𝟑𝟏 𝛾 𝑉𝑄 = 𝟎, 𝟏𝟔
-𝛾 𝑊𝑉 =
𝐾 𝑊𝑉
𝐾 𝑊𝑉+𝐾 𝑊𝐵′+𝐾 𝑊𝑋+𝐾 𝑊𝑅
=
7,42
7,42+3,86+11,2+3,86
= 𝟎, 𝟐𝟖
𝛾 𝑊𝐵′ = 𝟎, 𝟏𝟓 𝛾 𝑊𝑋 = 𝟎, 𝟒𝟐 𝛾 𝑊𝑅 = 𝟎, 𝟏𝟓
-𝛾 𝑋𝑊 =
𝐾 𝑋𝑊
𝐾 𝑋𝑊+𝐾 𝑋𝐶′+𝐾 𝑋𝑌+𝐾 𝑋𝑆
=
11 ,2
11,2+3,86+7,42+3,86
= 𝟎, 𝟒𝟐
𝛾 𝑋𝐶′ = 𝟎, 𝟏𝟓 𝛾 𝑋𝑌 = 𝟎, 𝟐𝟖 𝛾 𝑋𝑆 = 𝟎, 𝟏𝟓
-𝛾 𝑌𝑋 =
𝐾 𝑌𝑋
𝐾 𝑌𝑋+𝐾 𝑌𝐷′+𝐾 𝑌𝑇
=
7,42
7,42+3,86+3,86
= 𝟎, 𝟓
𝛾 𝑌𝐷′ = 𝟎, 𝟐𝟓 𝛾 𝑌𝑇 = 𝟎, 𝟐𝟓
-𝛾 𝑍𝑈 =
𝐾 𝑍𝑈
𝐾 𝑍𝑈+𝐾 𝑍𝐴′
=
3,86
3,86+8,89
= 𝟎, 𝟑 𝛾 𝑍𝐴′ = 𝟎, 𝟕

12. -𝛾 𝐴′𝑍 =
𝐾 𝐴′𝑍
𝐾 𝐴′𝑍+𝐾 𝐴′𝑉+𝐾𝐴′𝐵′
=
8,89
8,89+3,86+7,42
= 𝟎, 𝟒𝟒
𝛾 𝐴′𝑉 = 𝟎, 𝟏𝟗 𝛾 𝐴′𝐵′ = 𝟎, 𝟏𝟗
-𝛾 𝐵′𝐴′ =
𝐾 𝐵′𝐴′
𝐾 𝐵′𝐴′+𝐾 𝐵′𝑊+𝐾 𝐵′𝐶′
=
7,42
7,42+3,86+11,12
= 𝟎, 𝟑𝟑
𝛾 𝐵′𝑊 = 𝟎, 𝟏𝟕 𝛾 𝐵′𝐶′ = 𝟎, 𝟓
-𝛾 𝐶′𝐵′ =
𝐾 𝐶′𝐵′
𝐾 𝐶′𝐵′+𝐾 𝐶′𝑋+𝐾 𝐶′𝐷′
=
11,12
11,12+3,86+7,42
= 𝟎, 𝟓
𝛾 𝐶′𝑋 = 𝟎, 𝟏𝟕 𝛾 𝐶′𝐷′ = 𝟎, 𝟑𝟑
-𝛾 𝐷′𝐶′ =
𝐾 𝐷′𝐶′
𝐾 𝐷′𝐶′+𝐾 𝐷′𝑌
=
7,42
7,42+3,86
= 𝟎, 𝟔𝟔 𝛾 𝑌𝐷′ = 𝟎, 𝟑𝟒
SECCIÓN 4
1- INERCIAS
1 PISO
𝐼𝐴𝐸 = 𝐼 𝐸𝐴 = 𝐼 𝐵𝐹 = 𝐼 𝐹𝐵 = 𝐼 𝐶𝐺 = 𝐼 𝐺𝐶 = 𝐼 𝐷𝐻 = 𝐼 𝐻𝐷 =
0,5𝑥0,53
12
= 𝟓, 𝟐𝟏𝒙𝟏𝟎−𝟑
𝐼 𝐸𝐹 = 𝐼 𝐹𝐸 = 𝐼 𝐺𝐻 = 𝐼 𝐻𝐺 =
0,5𝑥0,63
12
= 𝟗𝒙𝟏𝟎−𝟑
2 PISO
𝐼 𝐸𝐼 = 𝐼𝐼𝐸 = 𝐼 𝐹𝐽 = 𝐼𝐽𝐹 = 𝐼 𝑂𝐾 = 𝐼 𝐾𝑂 = 𝐼 𝐻𝐿 = 𝐼 𝐿𝐻 =
0,45𝑥0,453
12
= 𝟑, 𝟒𝟐𝒙𝟏𝟎−𝟑
𝐼𝐼𝐽 = 𝐼𝐽𝐼 = 𝐼 𝐾𝐿 = 𝐼 𝐿𝐾 =
0,45𝑥0,53
12
= 𝟒, 𝟔𝟗𝒙𝟏𝟎−𝟑
3 PISO
𝐼𝐼𝑀 = 𝐼 𝑀𝐼 = 𝐼𝐽𝑁 = 𝐼 𝑁𝐽 = 𝐼 𝐾𝑂 = 𝐼 𝑂𝐾 = 𝐼 𝐿𝑃 = 𝐼 𝑃𝐿 =
0,4𝑥0,43
12
= 𝟐, 𝟏𝟑𝒙𝟏𝟎−𝟑
𝐼 𝑀𝑁 = 𝐼 𝑁𝑀 = 𝐼 𝑂𝑃 = 𝐼 𝑃𝑂 =
0,4𝑥0,453
12
= 𝟑, 𝟎𝟒𝒙𝟏𝟎−𝟑
4 Y 5 PISO

13. 𝐼 𝑀𝑄 = 𝐼 𝑄𝑀 = 𝐼 𝑁𝑅 = 𝐼 𝑅𝑁 = 𝐼 𝑂𝑆 = 𝐼 𝑆𝑂 = 𝐼 𝑃𝑇 = 𝐼 𝑇𝑃 = 𝐼 𝑄𝑈 = 𝐼 𝑈𝑄 = 𝐼 𝑅𝑉 = 𝐼 𝑉𝑅 = 𝐼 𝑆𝑊 = 𝐼 𝑊𝑆 = 𝐼 𝑇𝑋
= 𝐼 𝑋𝑇 =
0,3𝑥0,33
12
= 𝟔, 𝟕𝟓𝒙𝟏𝟎−𝟒
𝐼 𝑄𝑅 = 𝐼 𝑅𝑄 = 𝐼 𝑆𝑇 = 𝐼 𝑇𝑆 = 𝐼 𝑈𝑉 = 𝐼 𝑉𝑈 = 𝐼 𝑊𝑋 = 𝐼 𝑋𝑊 =
0,3𝑥0,43
12
= 𝟏, 𝟔𝒙𝟏𝟎−𝟑
2- MÓDULO DE ELASTICIDAD
- Columnas = 4700x√42 = 30459,48
- Vigas = 4700x√35 = 27805,57
3- RIGIDEZ
1 PISO
𝐾𝐴𝐸 = 𝐾𝐸𝐴 = 𝐾 𝐵𝐹 = 𝐾𝐹𝐵 = 𝐾𝐶𝐺 = 𝐾𝐺𝐶 = 𝐾 𝐷𝐻 = 𝐾 𝐻𝐷 =
3
4
𝑥
5,21𝑥10−3 𝑥 30459,48
4
= 𝟐𝟗, 𝟕𝟔
𝐾𝐸𝐹 = 𝐾𝐹𝐸 = 𝐾𝐺𝐻 = 𝐾 𝐻𝐺 =
9𝑥10−3 𝑥27805,57
6
= 𝟒𝟏, 𝟕𝟏
2 PISO
𝐾𝐸𝐼 = 𝐾𝐼𝐸 = 𝐾𝐹𝐽 = 𝐾𝐽𝐹 = 𝐾 𝑂𝐾 = 𝐾 𝐾𝑂 = 𝐾 𝐻𝐿 = 𝐾𝐿𝐻 =
3
4
𝑥
3,42𝑥10−3 𝑥 30459,48
5
= 𝟏𝟓, 𝟔𝟑
𝐾𝐼𝐽 = 𝐾𝐽𝐼 = 𝐾 𝐾𝐿 = 𝐾𝐿𝐾 =
4,69𝑥10−3 𝑥27805,57
6
= 𝟐𝟏, 𝟕𝟑
3 PISO
𝐼𝐼𝑀 = 𝐼 𝑀𝐼 = 𝐼𝐽𝑁 = 𝐼 𝑁𝐽 = 𝐼 𝐾𝑂 = 𝐼 𝑂𝐾 = 𝐼 𝐿𝑃 = 𝐼 𝑃𝐿 =
3
4
𝑥
2,13𝑥10−3 𝑥 30459,48
4
= 𝟏𝟐, 𝟏𝟔
𝐾 𝑀𝑁 = 𝐾 𝑁𝑀 = 𝐾 𝑂𝑃 = 𝐾𝑃𝑂 =
3,04𝑥10−3 𝑥27805,57
6
= 𝟏𝟒, 𝟏
4 Y 5 PISO
𝐾 𝑀𝑄 = 𝐾 𝑄𝑀 = 𝐾 𝑁𝑅 = 𝐾𝑅𝑁 = 𝐾 𝑂𝑆 = 𝐾𝑆𝑂 = 𝐾𝑃𝑇 = 𝐾 𝑇𝑃 = 𝐾 𝑄𝑈 = 𝐾 𝑈𝑄 = 𝐾𝑅𝑉 = 𝐾𝑉𝑅 = 𝐾𝑆𝑊
= 𝐾 𝑊𝑆 = 𝐾 𝑇𝑋 = 𝐾 𝑋𝑇 =
3
4
𝑥
6,75𝑥10−4 𝑥 30459,48
4
= 𝟑, 𝟖𝟔
𝐾 𝑄𝑅 = 𝐾𝑅𝑄 = 𝐾𝑆𝑇 = 𝐾 𝑇𝑆 = 𝐾 𝑈𝑉 = 𝐾𝑉𝑈 = 𝐾 𝑊𝑋 = 𝐾 𝑋𝑊 =
1,6𝑥10−3 𝑥 27805,57
6
= 𝟕, 𝟒𝟐
4- MOMENTO DE EMPOTRAMIENTO PERFECTO
𝑀 𝐸𝐹 = 𝑀 𝐺𝐻 =
53,68 𝑥 62
12
= 𝟗𝟔, 𝟔𝟐 𝑀 𝐹𝐸, 𝑀 𝐻𝐺 = −𝑀 𝐸𝐹 = −𝟗𝟔, 𝟔𝟐
𝑀𝐼𝐽 = 𝑀 𝐾𝐿 = 𝑀 𝑀𝑁 = 𝑀 𝑂𝑃 = 𝑀 𝑄𝑅 = 𝑀 𝑆𝑇 =
45,87 𝑥 62
12
= 𝟖𝟐, 𝟓𝟕
𝑀𝐽𝐼, 𝑀 𝐿𝐾,𝑀 𝑁𝑀, 𝑀 𝑃𝑂, 𝑀 𝑅𝑄 = −𝑀𝐼𝐽 = −𝟖𝟐, 𝟓𝟕
𝑀 𝑈𝑉 = 𝑀 𝑊𝑋 =
26,45 𝑥 62
12
= 𝟒𝟕, 𝟔𝟏 𝑀 𝑉𝑈, 𝑀 𝑋𝑊 = −𝑀 𝑈𝑉 = −𝟒𝟕, 𝟔𝟏

14. 5- COEFICIENTE DE DISTRIBUCIÓN
-𝛾 𝐴𝐸 = 𝛾 𝐵𝐹 = 𝛾 𝐶𝐺 = 𝛾 𝐷𝐻 = 𝟎
-𝛾 𝐸𝐴 =
𝐾 𝐸𝐴
𝐾 𝐸𝐴 +𝐾 𝐸𝐹+𝐾 𝐸𝐼
=
29,76
29,76+41,71+15,63
= 𝟎, 𝟑𝟒
𝛾 𝐸𝐹 = 𝟎, 𝟒𝟖 𝛾 𝐸𝐼 = 𝟎, 𝟏𝟖
-𝛾 𝐺𝐶 = 𝟎, 𝟑𝟒 𝛾 𝐺𝐻 = 𝟎, 𝟒𝟖 𝛾 𝐺𝐾 = 𝟎, 𝟏𝟖
-𝛾 𝐹𝐸 =
𝐾 𝐹𝐸
𝐾 𝐹𝐸 +𝐾 𝐹𝐽+𝐾 𝐹𝐵
=
41,71
41,71+15,63+29,76
= 𝟎, 𝟒𝟖
𝛾 𝐹𝐽 = 𝟎, 𝟏𝟖 𝛾 𝐹𝐵 = 𝟎, 𝟑𝟒
-𝛾 𝐻𝐺 = 𝟎, 𝟒𝟖 𝛾 𝐻𝐷 = 𝟎, 𝟑𝟒 𝛾 𝐻𝐿 = 𝟎, 𝟏𝟖
-𝛾 𝐼𝐸 =
𝐾𝐼𝐸
𝐾𝐼𝐸+𝐾𝐼𝐽+𝐾𝐼𝑀
=
15,63
15,63+19,46+12,16
= 𝟎, 𝟑𝟑
𝛾 𝐼𝐽 = 𝟎, 𝟒𝟏 𝛾 𝐼𝑀 = 𝟎, 𝟐𝟔
-𝛾 𝐾𝐺 = 𝟎, 𝟑𝟑 𝛾 𝐾𝑂 = 𝟎, 𝟐𝟔 𝛾 𝐾𝐿 = 𝟎, 𝟒𝟏
-𝛾 𝑀𝐼 =
𝐾 𝑀𝐼
𝐾 𝑀𝐼+𝐾 𝑀𝑁+𝐾 𝑀𝑄
=
12,16
12,16+14,1+3,85
= 𝟎, 𝟒
𝛾 𝐼𝐽 = 𝟎, 𝟒𝟕 𝛾 𝐼𝑀 = 𝟎, 𝟏𝟑
-𝛾 𝑂𝐾 = 𝟎, 𝟒 𝛾 𝐾𝑂 = 𝟎, 𝟒𝟕 𝛾 𝑂𝑆 = 𝟎, 𝟏𝟑
-𝛾 𝑁𝑀 =
𝐾 𝑁𝑀
𝐾 𝑁𝑀+𝐾 𝑁𝐽+𝐾 𝑁𝐿
=
3,04
3,04+12,16+3,86
= 𝟎, 𝟏𝟔
𝛾 𝑁𝐽 = 𝟎, 𝟔𝟒 𝛾 𝑁𝐿 = 𝟎, 𝟐
-𝛾 𝑃𝑂 = 𝟎, 𝟏𝟔 𝛾 𝑃𝐿 = 𝟎, 𝟔𝟒 𝛾 𝑃𝑇 = 𝟎, 𝟐
-𝛾 𝑄𝑀 =
𝐾 𝑄𝑀
𝐾 𝑄𝑀+𝐾 𝑄𝑅+𝐾 𝑄𝑈
=
3,86
3,86+4,91+3,86
= 𝟎, 𝟑
𝛾 𝑄𝑅 = 𝟎, 𝟒 𝛾 𝑄𝑈 = 𝟎, 𝟑
-𝛾 𝑆𝑂 = 𝟎, 𝟑 𝛾 𝑆𝑇 = 𝟎, 𝟒 𝛾 𝑆𝑊 = 𝟎, 𝟑
-𝛾 𝑅𝑄 =
𝐾 𝑅𝑄
𝐾 𝑅𝑄+𝐾 𝑅𝑌+𝐾 𝑅𝑁
=
4,91
4,91+3,86+3,86
= 𝟎, 𝟒
𝛾 𝑅𝑌 = 𝟎, 𝟑 𝛾 𝑅𝑁 = 𝟎, 𝟑
-𝛾 𝑇𝑆 = 𝟎, 𝟑 𝛾 𝑇𝑋 = 𝟎, 𝟒 𝛾 𝑇𝑃 = 𝟎, 𝟑
-𝛾 𝑈𝑉 =
𝐾 𝑈𝑉
𝐾 𝑈𝑉 +𝐾 𝑈𝑄
=
4,91
4,91+3,86
= 𝟎, 𝟓𝟔 𝛾 𝑅𝑁 = 𝟎, 𝟒𝟒
-𝛾 𝑊𝑋 = 𝟎, 𝟓𝟔 𝛾 𝑊𝑆 = 𝟎, 𝟒𝟒

15. -𝛾 𝑉𝑈 =
𝐾 𝑉𝑈
𝐾 𝑉𝑈+𝐾 𝑉𝑅
=
4,91
4,91+3,86
= 𝟎, 𝟓𝟔 𝛾 𝑉𝑅 = 𝟎, 𝟒𝟒
-𝛾 𝑋𝑊 = 𝟎, 𝟓𝟔 𝛾 𝑋𝑇 = 𝟎, 𝟒𝟒
SECCIÓN5
1- INERCIAS
1 PISO
𝐼𝐴𝐹 = 𝐼 𝐹𝐴 = 𝐼 𝐵𝐺 = 𝐼 𝐺𝐵 = 𝐼 𝐶𝐻 = 𝐼 𝐻𝐶 = 𝐼 𝐷𝐼 = 𝐼𝐼𝐷 = 𝐼 𝐸𝐽 = 𝐼𝐽𝐸 =
0,5𝑥0,53
12
= 𝟓, 𝟐𝟏𝒙𝟏𝟎−𝟑
𝐼 𝐹𝐺 = 𝐼 𝐺𝐹 = 𝐼 𝐺𝐻 = 𝐼 𝐻𝐺 = 𝐼 𝐻𝐼 = 𝐼𝐼𝐻 = 𝐼𝐼𝐽 = 𝐼𝐽𝐼 =
0,5𝑥0,63
12
= 𝟗𝒙𝟏𝟎−𝟑
2 PISO
𝐼 𝐹𝐾 = 𝐼 𝐾𝐹 = 𝐼 𝐺𝐿 = 𝐼 𝐿𝐺 = 𝐼 𝐻𝑀 = 𝐼 𝑀𝐻 = 𝐼𝐼𝑁 = 𝐼 𝑁𝐼 = 𝐼𝐽𝑂 = 𝐼 𝑂𝐽 =
0,45𝑥0,453
12
= 𝟑, 𝟒𝟐𝒙𝟏𝟎−𝟑
𝐼 𝐾𝐿 = 𝐼 𝐿𝐾 = 𝐼 𝐿𝑀 = 𝐼 𝑀𝐿 = 𝐼 𝑀𝑁 = 𝐼 𝑁𝑀 = 𝐼 𝑁𝑂 = 𝐼 𝑂𝑁 =
0,45𝑥0,53
12
= 𝟒, 𝟔𝟗𝒙𝟏𝟎−𝟑
3 PISO
𝐼 𝐾𝑃 = 𝐼 𝑃𝐾 = 𝐼 𝐿𝑄 = 𝐼 𝑄𝐿 = 𝐼 𝑀𝑅 = 𝐼 𝑅𝑀 = 𝐼 𝑁𝑆 = 𝐼 𝑆𝑁 = 𝐼 𝑂𝑇 = 𝐼 𝑇𝑂 =
0,4𝑥0,43
12
= 𝟐, 𝟏𝟑𝒙𝟏𝟎−𝟑
𝐼 𝑃𝑄 = 𝐼 𝑄𝑃 = 𝐼 𝑄𝑅 = 𝐼 𝑅𝑄 = 𝐼 𝑅𝑆 = 𝐼 𝑆𝑅 = 𝐼 𝑆𝑇 = 𝐼 𝑇𝑆 =
0,4𝑥0,453
12
= 𝟑, 𝟎𝟒𝒙𝟏𝟎−𝟑
4 Y 5 PISO
𝐼 𝑃𝑈 = 𝐼 𝑈𝑃 = 𝐼 𝑄𝑉 = 𝐼 𝑉𝑄 = 𝐼 𝑅𝑊 = 𝐼 𝑊𝑅 = 𝐼 𝑆𝑋 = 𝐼 𝑋𝑆 = 𝐼 𝑇𝑌 = 𝐼 𝑌𝑇 = 𝐼 𝑈𝑍 = 𝐼 𝑍𝑈 = 𝐼 𝑉𝐴′ = 𝐼𝐴′𝑉 = 𝐼 𝑊𝐵′
= 𝐼 𝐵′𝑊 = 𝐼 𝑋𝐶′ = 𝐼 𝐶′𝑋 = 𝐼 𝑌𝐷′ = 𝐼 𝐷′𝑌 =
0,3𝑥0,33
12
= 𝟔, 𝟕𝟓𝒙𝟏𝟎−𝟒

16. 𝐼 𝑈𝑉 = 𝐼 𝑉𝑈 = 𝐼 𝑉𝑊 = 𝐼 𝑊𝑉 = 𝐼 𝑊𝑋 = 𝐼 𝑋𝑊 = 𝐼 𝑋𝑌 = 𝐼 𝑌𝑋 = 𝐼 𝑍𝐴′ = 𝐼𝐴´𝑍 = 𝐼𝐴′𝐵′ = 𝐼 𝐵′𝐴′ = 𝐼 𝐵′𝐶′ = 𝐼 𝐶′𝐵′
= 𝐼 𝐶′𝐷′ = 𝐼 𝐷′𝐶′ =
0,3𝑥0,43
12
= 𝟏, 𝟔𝒙𝟏𝟎−𝟑
2- MÓDULO DE ELASTICIDAD
- Columnas = 4700x√42 = 30459,48
- Vigas = 4700x√35 = 27805,57
3- RIGIDEZ
1 PISO
𝐾𝐴𝐹 = 𝐾𝐹𝐴 = 𝐾 𝐵𝐺 = 𝐾𝐺𝐵 = 𝐾𝐶𝐻 = 𝐾 𝐻𝐶 = 𝐾 𝐷𝐼 = 𝐾𝐼𝐷 = 𝐾𝐸𝐽 = 𝐾𝐽𝐸 =
3
4
𝑥
5,21𝑥10−3 𝑥 30459,48
4
= 𝟐𝟗, 𝟕𝟔
𝐾𝐹𝐺 = 𝐾𝐺𝐹 =
9𝑥10−3 𝑥27805,57
5
= 𝟓𝟎, 𝟎𝟓
𝐾𝐺𝐻 = 𝐾 𝐻𝐺 = 𝐾𝐼𝐽 = 𝐾𝐽𝐼 =
9𝑥10−3 𝑥27805,57
6
= 𝟒𝟏, 𝟕𝟏
𝐾 𝐻𝐼 = 𝐾𝐼𝐻 =
9𝑥10−3 𝑥27805,57
4
= 𝟔𝟐, 𝟓𝟔
2 PISO
𝐾𝐹𝐾 = 𝐾 𝐾𝐹 = 𝐾𝐺𝐿 = 𝐾𝐿𝐺 = 𝐾 𝐻𝑀 = 𝐾 𝑀𝐻 = 𝐾𝐼𝑁 = 𝐾 𝑁𝐼 = 𝐾𝐽𝑂 = 𝐾 𝑂𝐽 =
3
4
𝑥
3,42𝑥10−3 𝑥 30459,48
5
= 𝟏𝟓, 𝟔𝟑
𝐾 𝐾𝐿 = 𝐾𝐿𝐾 =
4,69𝑥10−3 𝑥27805,57
5
= 𝟐𝟔, 𝟎𝟖
𝐾𝐿𝑀 = 𝐾 𝑀𝐿 = 𝐾 𝑁𝑂 = 𝐾 𝑂𝑁 =
4,69𝑥10−3 𝑥27805,57
6
= 𝟐𝟏, 𝟕𝟑
𝐾 𝑀𝑁 = 𝐾 𝑁𝑀 =
4,69𝑥10−3 𝑥27805,57
4
= 𝟑𝟐, 𝟔
3 PISO
𝐾 𝐾𝑃 = 𝐾𝑃𝐾 = 𝐾𝐿𝑄 = 𝐾 𝑄𝐿 = 𝐾 𝑀𝑅 = 𝐾𝑅𝑀 = 𝐾 𝑁𝑆 = 𝐾𝑆𝑁 = 𝐾 𝑂𝑇 = 𝐾 𝑇𝑂
=
3
4
𝑥
2,13𝑥10−3 𝑥 30459,48
4
= 𝟏𝟐, 𝟏𝟔
𝐾𝑃𝑄 = 𝐾 𝑄𝑃 =
3,04𝑥10−3 𝑥27805,57
5
= 𝟏𝟔,𝟗𝟏
𝐾 𝑄𝑅 = 𝐾𝑅𝑄 =
3,04𝑥10−3 𝑥27805,57
6
= 𝟏𝟒, 𝟏
𝐾𝑅𝑆 = 𝐾𝑆𝑅 =
3,04𝑥10−3 𝑥27805,57
4
= 𝟐𝟏, 𝟏𝟑
4 Y 5 PISO
𝐾𝑃𝑈 = 𝐾 𝑈𝑃 = 𝐾 𝑄𝑉 = 𝐾𝑉𝑄 = 𝐾𝑅𝑊 = 𝐾 𝑊𝑅 = 𝐾𝑆𝑋 = 𝐾 𝑋𝑆 = 𝐾 𝑇𝑌 = 𝐾𝑌𝑇 = 𝐾 𝑈𝑍 = 𝐾𝑍𝑈 = 𝐾𝑉𝐴′
= 𝐾𝐴′𝑉 = 𝐾 𝑊𝐵′ = 𝐾 𝐵′𝑊 = 𝐾 𝑋𝐶′ = 𝐾𝐶′𝑋 = 𝐾𝑌𝐷′ = 𝐾 𝐷′𝑌
=
3
4
𝑥
6,75𝑥10−4 𝑥 30459,48
4
= 𝟑, 𝟖𝟔

17. 𝐾 𝑈𝑉 = 𝐾𝑉𝑈 = 𝐾𝑍𝐴′ = 𝐾𝐴′𝑍 =
1,6𝑥10−3 𝑥27805,57
5
= 𝟖, 𝟗
𝐾𝑉𝑊 = 𝐾 𝑊𝑉 = 𝐾𝐴′𝐵′ = 𝐾 𝐵′𝐴′ =
1,6𝑥10−3 𝑥 27805,57
6
= 𝟕, 𝟒𝟐
𝐾 𝑊𝑋 = 𝐾 𝑋𝑊 = 𝐾 𝐵′𝐶′ = 𝐾𝐶′𝐵′ =
1,6𝑥10−3 𝑥 27805,57
4
= 𝟏𝟏, 𝟏𝟐
4- MOMENTO DE EMPOTRAMIENTO PERFECTO
𝑀 𝐹𝐺 =
25,17 𝑥 52
12
= 𝟓𝟐, 𝟒𝟒 𝑀 𝐺𝐹 = −𝑀 𝐹𝐺 = −𝟓𝟐, 𝟒𝟒
𝑀 𝐺𝐻 =
48,65 𝑥 62
12
= 𝟏𝟒𝟓,𝟗𝟓 𝑀 𝐻𝐺 = −𝑀 𝐺𝐻 = −𝟏𝟒𝟓, 𝟗𝟓
𝑀 𝐻𝐼 =
37,75 𝑥 42
12
= 𝟓𝟎, 𝟑𝟑 𝑀𝐼𝐻 = −𝑀 𝐻𝐼 = −𝟓𝟎, 𝟑𝟑
𝑀𝐼𝐽 =
26,84 𝑥 62
12
= 𝟖𝟎, 𝟓𝟐 𝑀𝐽𝐼 = −𝑀𝐼𝐽 = −𝟖𝟎, 𝟓𝟐
𝑀 𝐾𝐿 = 𝑀 𝑃𝑄 = 𝑀 𝑈𝑉 =
21,5 𝑥 52
12
= 𝟒𝟒, 𝟖 𝑀𝐿𝐾,𝑀 𝑄𝑃,𝑀 𝑉𝑈 = −𝑀 𝐾𝐿 = −𝟒𝟒, 𝟖
𝑀 𝐿𝑀 = 𝑀 𝑄𝑅 = 𝑀 𝑉𝑊 =
41,57 𝑥 62
12
= 𝟏𝟐𝟒, 𝟕𝟏 𝑀 𝑀𝐿,𝑀 𝑅𝑄, 𝑀 𝑉𝑊 = −𝑀𝐿𝑀 = −𝟏𝟐𝟒, 𝟕𝟏
𝑀 𝑀𝑁 = 𝑀 𝑅𝑆 = 𝑀 𝑊𝑋 =
32,25 𝑥 42
12
= 𝟒𝟑 𝑀 𝑁𝑀,𝑀 𝑅𝑆, 𝑀 𝑊𝑋 = −𝑀 𝑀𝑁 = −𝟒𝟑
𝑀 𝑁𝑂 = 𝑀 𝑆𝑇 = 𝑀 𝑋𝑌 =
22,93 𝑥 62
12
= 𝟔𝟖, 𝟕𝟑 𝑀 𝑂𝑁, 𝑀 𝑇𝑆, 𝑀 𝑌𝑋 = −𝑀 𝑁𝑂 = −𝟔𝟖, 𝟕𝟑
𝑀 𝑍𝐴′ =
12,4 𝑥 52
12
= 𝟐𝟓, 𝟖𝟑𝟑 𝑀𝐴′𝑍 = −𝑀 𝑍𝐴′ = −𝟐𝟓, 𝟖𝟑
𝑀𝐴′𝐵′ =
27,97 𝑥 62
12
= 𝟕𝟏, 𝟗𝟏 𝑀 𝐵′𝐴′ = −𝑀 𝐴′ 𝐵′ = −𝟕𝟏, 𝟗𝟏
𝑀 𝐵′𝐶′ =
12,4 𝑥 42
12
= 𝟏𝟔, 𝟓𝟑 𝑀 𝐶′𝐵′ = −𝑀 𝐵′ 𝐶′ = −𝟏𝟔, 𝟓𝟑
𝑀 𝐶′𝐷′ =
13,22 𝑥 62
12
= 𝟑𝟗, 𝟔𝟔 𝑀 𝐷′𝐶′ = −𝑀 𝐶′𝐷′ = −𝟑𝟗, 𝟔𝟔
5- COEFICIENTE DE DISTRIBUCIÓN
-𝛾 𝐴𝐹 = 𝛾 𝐵𝐺 = 𝛾 𝐶𝐻 = 𝛾 𝐷𝐼 = 𝛾 𝐸𝐽 = 𝟎
-𝛾 𝐹𝐴 =
𝐾 𝐹𝐴
𝐾 𝐹𝐴 +𝐾 𝐹𝐺+𝐾 𝐹𝐾
=
29,76
29,76+50,05+15,63
= 𝟎, 𝟑𝟏
𝛾 𝐹𝐺 = 𝟎, 𝟓𝟑 𝛾 𝐹𝐾 = 𝟎, 𝟏𝟔
-𝛾 𝐺𝐹 =
𝐾 𝐺𝐹
𝐾 𝐺𝐹+𝐾 𝐺𝐿+𝐾 𝐺𝐻+𝐾 𝐺𝐵
=
50,05
50,05+15,63+41,71+29,76
= 𝟎, 𝟑𝟔
𝛾 𝐺𝐿 = 𝟎, 𝟏𝟏 𝛾 𝐺𝐻 = 𝟎, 𝟑𝟏 𝛾 𝐺𝐵 = 𝟎, 𝟐𝟐
-𝛾 𝐻𝐺 =
𝐾 𝐻𝐺
𝐾 𝐻𝐺+𝐾 𝐻𝑀+𝐾 𝐻𝐼+𝐾 𝐻𝐶
=
41,71
41,71+15,63+62,56+29,76
= 𝟎, 𝟐𝟖
𝛾 𝐻𝑀 = 𝟎, 𝟏 𝛾 𝐻𝐼 = 𝟎, 𝟒𝟐 𝛾 𝐻𝐶 = 𝟎, 𝟐
-𝛾 𝐼𝐻 =
𝐾𝐼𝐻
𝐾𝐼𝐻+𝐾𝐼𝑁+𝐾𝐼𝐽+𝐾𝐼𝐷
=
62,56
62,56+15,63+41,71+29,76
= 𝟎, 𝟒𝟐
𝛾 𝐼𝑁 = 𝟎, 𝟏 𝛾 𝐼𝐽 = 𝟎, 𝟐𝟖 𝛾 𝐼𝐷 = 𝟎, 𝟐
-𝛾𝐽𝐼 =
𝐾𝐽𝐼
𝐾𝐽𝐼+𝐾𝐽𝑂+𝐾𝐽𝐸
=
41,71
41,71+15,63+29,76
= 𝟎, 𝟒𝟖

18. 𝛾𝐽𝑂 = 𝟎, 𝟏𝟖 𝛾𝐽𝐸 = 𝟎, 𝟑𝟒
-𝛾 𝐾𝐹 =
𝐾 𝐾𝐹
𝐾 𝐾𝐹+𝐾 𝐾𝐿+𝐾 𝐾𝑃
=
15,63
15,63+26,08+12,16
= 𝟎, 𝟐𝟗
𝛾 𝐾𝐿 = 𝟎, 𝟒𝟖 𝛾 𝐾𝑃 = 𝟎, 𝟐𝟑
-𝛾 𝐿𝐾 =
𝐾 𝐿𝐾
𝐾 𝐿𝐾 +𝐾 𝐿𝑄+𝐾 𝐿𝑀+𝐾 𝐿𝐺
=
26,08
26,08+12,16+21,73+15,63
= 𝟎, 𝟑𝟒
𝛾 𝐿𝑄 = 𝟎, 𝟏𝟔 𝛾 𝐿𝑀 = 𝟎, 𝟑 𝛾 𝐿𝐺 = 𝟎, 𝟐
-𝛾 𝑀𝐿 =
𝐾 𝑀𝐿
𝐾 𝑀𝐿+𝐾 𝑀𝑅+𝐾 𝑀𝑁+𝐾 𝑀𝐻
=
26,08
26,08+12,16+21,73+15,63
= 𝟎, 𝟐𝟔
𝛾 𝑀𝑅 = 𝟎, 𝟏𝟓 𝛾 𝑀𝑁 = 𝟎, 𝟒 𝛾 𝑀𝐻 = 𝟎, 𝟏𝟗
-𝛾 𝑁𝑀 =
𝐾 𝑁𝑀
𝐾 𝑁𝑀+𝐾 𝑁𝑆+𝐾 𝑁𝑂+𝐾 𝑁𝐼
=
26,08
26,08+12,16+21,73+15,63
= 𝟎, 𝟒
𝛾 𝑁𝑆 = 𝟎, 𝟏𝟓 𝛾 𝑁𝑂 = 𝟎, 𝟐𝟔 𝛾 𝑁𝐼 = 𝟎, 𝟏𝟗
-𝛾 𝑂𝑁 =
𝐾 𝑂𝑁
𝐾 𝑂𝑁+𝐾 𝑂𝑇+𝐾 𝑂𝐽
=
21,73
21,73+12,16+15,63
= 𝟎, 𝟒𝟒
𝛾 𝑂𝑇 = 𝟎, 𝟐𝟓 𝛾 𝑂𝐽 = 𝟎, 𝟑𝟏
-𝛾 𝑃𝐾 =
𝐾 𝑃𝐾
𝐾 𝑃𝐾+𝐾 𝑃𝑄+𝐾 𝑃𝑈
=
12,16
12,16+16,91+3,86
= 𝟎, 𝟑𝟕
𝛾 𝑃𝑄 = 𝟎, 𝟓𝟏 𝛾 𝑃𝑈 = 𝟎, 𝟏𝟐
-𝛾 𝑄𝑃 =
𝐾 𝑄𝑃
𝐾 𝑄𝑃+𝐾 𝑄𝑉+𝐾 𝑄𝑅+𝐾 𝑄𝐿
=
16,91
16,91+3,86+14,1+12,16
= 𝟎, 𝟑𝟔
𝛾 𝑄𝑉 = 𝟎, 𝟎𝟖 𝛾 𝑄𝑅 = 𝟎, 𝟑 𝛾 𝑄𝐿 = 𝟎, 𝟐𝟔
-𝛾 𝑅𝑄 =
𝐾 𝑅𝑄
𝐾 𝑅𝑄+𝐾 𝑅𝑊+𝐾 𝑅𝑆+𝐾 𝑅𝑀
=
14 ,1
14,1+3,86+21,13+12,16
= 𝟎, 𝟐𝟖
𝛾 𝑅𝑊 = 𝟎, 𝟎𝟖 𝛾 𝑅𝑆 = 𝟎, 𝟒𝟏 𝛾 𝑅𝑀 = 𝟎, 𝟐𝟑
-𝛾 𝑆𝑅 =
𝐾 𝑆𝑅
𝐾 𝑆𝑅+𝐾 𝑆𝑋+𝐾 𝑆𝑇+𝐾 𝑆𝑁
=
21,13
21,13+3,86+14,1+12,16
= 𝟎, 𝟒𝟏
𝛾 𝑆𝑋 = 𝟎, 𝟎𝟖 𝛾 𝑆𝑇 = 𝟎, 𝟐𝟖 𝛾𝑆𝑁 = 𝟎, 𝟐𝟑
-𝛾 𝑇𝑆 =
𝐾 𝑇𝑆
𝐾 𝑇𝑆+𝐾 𝑇𝑌+𝐾 𝑇𝑂
=
14,1
14,1+3,86+12,16
= 𝟎, 𝟒𝟕
𝛾 𝑇𝑌 = 𝟎, 𝟏𝟑 𝛾 𝑇𝑂 = 𝟎, 𝟒
-𝛾 𝑈𝑃 =
𝐾 𝑈𝑃
𝐾 𝑈𝑃 +𝐾 𝑈𝑉+𝐾 𝑈𝑍
=
3,86
3,86+8,89+3,86
= 𝟎, 𝟐𝟑
𝛾 𝑈𝑉 = 𝟎, 𝟓𝟒 𝛾 𝑈𝑍 = 𝟎, 𝟐𝟑
-𝛾 𝑉𝑈 =
𝐾 𝑉𝑈
𝐾 𝑉𝑈+𝐾 𝑉𝐴′+𝐾 𝑉𝑊+𝐾 𝑉𝑄
=
8,89
8,89+3,86+7,42+3,86
= 𝟎, 𝟑𝟕
𝛾 𝑉𝐴′ = 𝟎, 𝟏𝟔 𝛾 𝑉𝑊 = 𝟎, 𝟑𝟏 𝛾 𝑉𝑄 = 𝟎, 𝟏𝟔
-𝛾 𝑊𝑉 =
𝐾 𝑊𝑉
𝐾 𝑊𝑉+𝐾 𝑊𝐵′+𝐾 𝑊𝑋+𝐾 𝑊𝑅
=
7,42
7,42+3,86+11,2+3,86
= 𝟎, 𝟐𝟖
𝛾 𝑊𝐵′ = 𝟎, 𝟏𝟓 𝛾 𝑊𝑋 = 𝟎, 𝟒𝟐 𝛾 𝑊𝑅 = 𝟎, 𝟏𝟓

19. -𝛾 𝑋𝑊 =
𝐾 𝑋𝑊
𝐾 𝑋𝑊+𝐾 𝑋𝐶′+𝐾 𝑋𝑌+𝐾 𝑋𝑆
=
11 ,2
11,2+3,86+7,42+3,86
= 𝟎, 𝟒𝟐
𝛾 𝑋𝐶′ = 𝟎, 𝟏𝟓 𝛾 𝑋𝑌 = 𝟎, 𝟐𝟖 𝛾 𝑋𝑆 = 𝟎, 𝟏𝟓
-𝛾 𝑌𝑋 =
𝐾 𝑌𝑋
𝐾 𝑌𝑋+𝐾 𝑌𝐷′+𝐾 𝑌𝑇
=
7,42
7,42+3,86+3,86
= 𝟎, 𝟓
𝛾 𝑌𝐷′ = 𝟎, 𝟐𝟓 𝛾 𝑌𝑇 = 𝟎, 𝟐𝟓
-𝛾 𝑍𝑈 =
𝐾 𝑍𝑈
𝐾 𝑍𝑈+𝐾 𝑍𝐴′
=
3,86
3,86+8,89
= 𝟎, 𝟑 𝛾 𝑍𝐴′ = 𝟎, 𝟕
-𝛾 𝐴′𝑍 =
𝐾 𝐴′𝑍
𝐾 𝐴′𝑍+𝐾 𝐴′𝑉+𝐾𝐴′𝐵′
=
8,89
8,89+3,86+7,42
= 𝟎, 𝟒𝟒
𝛾 𝐴′𝑉 = 𝟎, 𝟏𝟗 𝛾 𝐴′𝐵′ = 𝟎, 𝟏𝟗
-𝛾 𝐵′𝐴′ =
𝐾 𝐵′𝐴′
𝐾 𝐵′𝐴′+𝐾 𝐵′𝑊+𝐾 𝐵′𝐶′
=
7,42
7,42+3,86+11,12
= 𝟎, 𝟑𝟑
𝛾 𝐵′𝑊 = 𝟎, 𝟏𝟕 𝛾 𝐵′𝐶′ = 𝟎, 𝟓
-𝛾 𝐶′𝐵′ =
𝐾 𝐶′𝐵′
𝐾 𝐶′𝐵′+𝐾 𝐶′𝑋+𝐾 𝐶′𝐷′
=
11,12
11,12+3,86+7,42
= 𝟎, 𝟓
𝛾 𝐶′𝑋 = 𝟎, 𝟏𝟕 𝛾 𝐶′𝐷′ = 𝟎, 𝟑𝟑
-𝛾 𝐷′𝐶′ =
𝐾 𝐷′𝐶′
𝐾 𝐷′𝐶′+𝐾 𝐷′𝑌
=
7,42
7,42+3,86
= 𝟎, 𝟔𝟔 𝛾 𝐷′𝑌 = 𝟎, 𝟑𝟒
SECCIÓN 6
1- INERCIAS
1 PISO

20. 𝐼𝐴𝐶 = 𝐼 𝐶𝐴 = 𝐼 𝐵𝐷 = 𝐼 𝐷𝐵 =
0,5𝑥0,53
12
= 𝟓, 𝟐𝟏𝒙𝟏𝟎−𝟑
𝐼 𝐶𝐷 = 𝐼 𝐷𝐶 =
0,5𝑥0,63
12
= 𝟗𝒙𝟏𝟎−𝟑
2 PISO
𝐼 𝐶𝐸 = 𝐼 𝐸𝐶 = 𝐼 𝐷𝐹 = 𝐼 𝐹𝐷 =
0,45𝑥0,453
12
= 𝟑, 𝟒𝟐𝒙𝟏𝟎−𝟑
𝐼 𝐸𝐹 = 𝐼 𝐹𝐸 =
0,45𝑥0,53
12
= 𝟒, 𝟔𝟗𝒙𝟏𝟎−𝟑
3 PISO
𝐼 𝐸𝐺 = 𝐼 𝐺𝐸 = 𝐼 𝐹𝐻 = 𝐼 𝐻𝐹 =
0,4𝑥0,43
12
= 𝟐, 𝟏𝟑𝒙𝟏𝟎−𝟑
𝐼 𝐺𝐻 = 𝐼 𝐻𝐺 =
0,4𝑥0,453
12
= 𝟑, 𝟎𝟒𝒙𝟏𝟎−𝟑
4 Y 5 PISO
𝐼 𝐺𝐼 = 𝐼𝐼𝐺 = 𝐼𝐽𝐻 = 𝐼 𝐻𝐽 = 𝐼𝐼𝐾 = 𝐼 𝐾𝐼 = 𝐼𝐽𝐿 = 𝐼 𝐿𝐽 =
0,3𝑥0,33
12
= 𝟔, 𝟕𝟓𝒙𝟏𝟎−𝟒
𝐼𝐼𝐺 = 𝐼 𝐺𝐼 = 𝐼 𝐾𝐿 = 𝐼 𝐿𝐾 =
0,3𝑥0,43
12
= 𝟏, 𝟔𝒙𝟏𝟎−𝟑
2- MÓDULO DE ELASTICIDAD
- Columnas = 4700x√42 = 30459,48
- Vigas = 4700x√35 = 27805,57
3- RIGIDEZ
1 PISO
𝐾𝐴𝐶 = 𝐾𝐶𝐴 = 𝐾 𝐵𝐷 = 𝐾 𝐷𝐵 =
3
4
𝑥
5,21𝑥10−3 𝑥 30459,48
4
= 𝟐𝟗, 𝟕𝟔
𝐾𝐶𝐷 = 𝐾 𝐷𝐶 =
9𝑥10−3 𝑥27805,57
10
= 𝟐𝟓, 𝟎𝟑
2 PISO
𝐾𝐶𝐸 = 𝐾𝐸𝐶 = 𝐾 𝐷𝐹 = 𝐾𝐹𝐷 =
3
4
𝑥
3,42𝑥10−3 𝑥 30459,48
5
= 𝟏𝟓, 𝟔𝟑
𝐾𝐸𝐹 = 𝐾𝐹𝐸 =
4,69𝑥10−3 𝑥27805,57
10
= 𝟏𝟑, 𝟎𝟒
3 PISO
𝐾𝐸𝐺 = 𝐾𝐺𝐸 = 𝐾𝐹𝐻 = 𝐾 𝐻𝐹 =
3
4
𝑥
2,13𝑥10−3 𝑥 30459,48
4
= 𝟏𝟐, 𝟏𝟔
𝐾𝐺𝐻 = 𝐾 𝐻𝐺 =
3,04𝑥10−3 𝑥27805,57
10
= 𝟖, 𝟒𝟓
4 Y 5 PISO
𝐼 𝐺𝐼 = 𝐼𝐼𝐺 = 𝐼𝐽𝐻 = 𝐼 𝐻𝐽 = 𝐼𝐼𝐾 = 𝐼 𝐾𝐼 = 𝐼𝐽𝐿 = 𝐼 𝐿𝐽 =
3
4
𝑥
6,75𝑥10−4 𝑥 30459,48
4
= 𝟑, 𝟖𝟔
𝐾 𝑀𝑁 = 𝐾 𝑁𝑀 = 𝐾𝑃𝑄 = 𝐾 𝑄𝑃 =
1,6𝑥10−3 𝑥 27805,57
10
= 𝟒, 𝟒𝟓
4- MOMENTO DE EMPOTRAMIENTO PERFECTO

21. 𝑀 𝐶𝐷 =
36,23 𝑥 62
12
= 𝟑𝟎𝟏, 𝟗𝟐 𝑀 𝐷𝐶 = −𝑀 𝐶𝐷 = −𝟑𝟎𝟏, 𝟗𝟐
𝑀 𝐸𝐹 = 𝑀 𝐺𝐻 = 𝑀𝐼𝐽 =
30,96 𝑥 102
12
= 𝟐𝟓𝟖 𝑀 𝐹𝐸,𝑀 𝐻𝐺, 𝑀𝐽𝐼 = −𝑀 𝐸𝐹 = −𝟐𝟓𝟖
𝑀 𝐾𝐿 =
17,86 𝑥 102
12
= 𝟏𝟒𝟖, 𝟖𝟑 𝑀 𝐾𝐿 = −𝑀 𝐿𝐾 = −𝟏𝟒𝟖, 𝟖𝟑
5- COEFICIENTE DE DISTRIBUCIÓN
-𝛾 𝐴𝐷 = 𝛾 𝐵𝐸 = 𝛾 𝐶𝐹 = 𝟎
-𝛾 𝐷𝐴 =
𝐾 𝐷𝐴
𝐾 𝐷𝐴 +𝐾 𝐷𝐸+𝐾 𝐷𝐺
=
29,76
29,76+41,71+15,63
= 𝟎, 𝟑𝟒
𝛾 𝐷𝐸 = 𝟎, 𝟒𝟖 𝛾 𝐷𝐺 = 𝟎, 𝟏𝟖
-𝛾 𝐸𝐷 =
𝐾 𝐸𝐷
𝐾 𝐸𝐷+𝐾 𝐸𝐻+𝐾 𝐸𝐹+𝐾 𝐸𝐵
=
41,71
41,71+15,63+62,56+29,76
= 𝟎, 𝟐𝟖
𝛾 𝐸𝐻 = 𝟎, 𝟏 𝛾 𝐸𝐹 = 𝟎, 𝟒𝟐 𝛾 𝐸𝐵 = 𝟎, 𝟐
-𝛾 𝐹𝐸 =
𝐾 𝐹𝐸
𝐾 𝐹𝐸 +𝐾 𝐹𝐼+𝐾 𝐹𝐶
=
62,56
29,76+41,71+15,63
= 𝟎, 𝟓𝟖
𝛾 𝐹𝐼 = 𝟎, 𝟏𝟒 𝛾 𝐹𝐶 = 𝟎, 𝟐𝟖
-𝛾 𝐺𝐷 =
𝐾 𝐺𝐷
𝐾 𝐺𝐷+𝐾 𝐺𝐻+𝐾𝐺𝐽
=
29,76
29,76+41,71+15,63
= 𝟎, 𝟓𝟖
𝛾 𝐺𝐻 = 𝟎, 𝟏𝟒 𝛾 𝐺𝐽 = 𝟎, 𝟐𝟖
-𝛾 𝐻𝐺 =
𝐾 𝐻𝐺
𝐾 𝐻𝐺+𝐾 𝐻𝐾+𝐾 𝐻𝐼+𝐾 𝐻𝐸
=
21,73
21,73+12,16+32,6+15,63
= 𝟎, 𝟐𝟔
𝛾 𝐻𝐾 = 𝟎, 𝟏𝟓 𝛾 𝐻𝐼 = 𝟎, 𝟒 𝛾 𝐻𝐸 = 𝟎, 𝟏𝟗
-𝛾 𝐼𝐻 =
𝐾𝐼𝐻
𝐾𝐼𝐻+𝐾𝐼𝐿+𝐾𝐼𝐹
=
32,6
32,6+12,16+15,63
= 𝟎, 𝟓𝟒
𝛾 𝐼𝐿 = 𝟎, 𝟐 𝛾 𝐼𝐹 = 𝟎, 𝟐𝟔
-𝛾𝐽𝐺 =
𝐾𝐽𝐺
𝐾𝐽𝐺+𝐾𝐽𝐾+𝐾𝐽𝑀
=
12,16
12,16+14,1+3,86
= 𝟎, 𝟒
𝛾𝐽𝐾 = 𝟎, 𝟒𝟕 𝛾𝐽𝑀 = 𝟎, 𝟏𝟑
-𝛾 𝐾𝐽 =
𝐾 𝐾𝐽
𝐾 𝐾𝐽+𝐾 𝐾𝑁+𝐾 𝐾𝐿+𝐾 𝐾𝐻
=
14,1
14,1+3,86+21,13+12,16
= 𝟎, 𝟐𝟖
𝛾 𝐾𝑁 = 𝟎, 𝟎𝟖 𝛾 𝐾𝐿 = 𝟎, 𝟒𝟏 𝛾 𝐾𝐻 = 𝟎, 𝟐𝟒
-𝛾 𝐿𝐾 =
𝐾 𝐿𝐾
𝐾 𝐿𝐾 +𝐾 𝐿𝑂+𝐾 𝐿𝐼
=
21,13
21,13+3,86+12,16
= 𝟎, 𝟓𝟕
𝛾 𝐿𝑂 = 𝟎, 𝟏 𝛾 𝐿𝐼 = 𝟎, 𝟑𝟑
-𝛾 𝑀𝐽 =
𝐾 𝑀𝐽
𝐾 𝑀𝐽+𝐾 𝑀𝑁+𝐾 𝑀𝑃
=
3,86
3,86+7,41+3,86
= 𝟎, 𝟐𝟓
𝛾 𝑀𝑁 = 𝟎, 𝟓 𝛾 𝑀𝑃 = 𝟎, 𝟐𝟓
-𝛾 𝑁𝑀 =
𝐾 𝑁𝑀
𝐾 𝑁𝑀+𝐾 𝑁𝑄+𝐾 𝑁𝑂+𝐾 𝑁𝐾
=
7,41
7,41+3,86+11,12+3,86
= 𝟎, 𝟐𝟖

22. 𝛾 𝑁𝑄 = 𝟎, 𝟏𝟓 𝛾 𝑁𝑂 = 𝟎, 𝟒𝟐 𝛾 𝑁𝐾 = 𝟎, 𝟏𝟓
-𝛾 𝑂𝑁 =
𝐾 𝑂𝑁
𝐾 𝑂𝑁+𝐾 𝑂𝑅+𝐾 𝑂𝐿
=
11,12
11,12+3,86+3,86
= 𝟎, 𝟔
𝛾 𝑂𝑅 = 𝟎, 𝟐 𝛾 𝑂𝐿 = 𝟎, 𝟐
-𝛾 𝑃𝑄 =
𝐾 𝑃𝑄
𝐾 𝑃𝑄+𝐾 𝑃𝑀
=
7,41
7,41+3,86
= 𝟎, 𝟔𝟔 𝛾 𝑃𝑀 = 𝟎, 𝟑𝟒
-𝛾 𝑄𝑃 =
𝐾 𝑄𝑃
𝐾 𝑄𝑃+𝐾 𝑄𝑁+𝐾 𝑄𝑅
=
7,41
7,41+3,86+11,12
= 𝟎, 𝟑𝟑
𝛾 𝑄𝑁 = 𝟎, 𝟏𝟕 𝛾 𝑄𝑅 = 𝟎, 𝟓
-𝛾 𝑅𝑄 =
𝐾 𝑅𝑄
𝐾 𝑅𝑄+𝐾 𝑅𝑂
=
11,12
11,12+3,86
= 𝟎, 𝟕𝟒 𝛾 𝑃𝑀 = 𝟎, 𝟐𝟔