Diseño de uniones plancha extrema (End Plate) 4E, 4ES Y 8ES según norma “ANSI/AISC 358-16” (uniones precalificadas).

1. ASTM ‐ A 36
TIPO
TIPO
ASTM ‐ A 36
DIMENSIONES (mm)
PROPIEDADES
d bf
18 0 2,530.00 4,080.00 1.5 1.2
Kg/cm2
mm mm mm
Rx cm Zx cm3
VIGA
Fy Fu Ry Rt
Kg/cm2
Iy cm4
Sy cm3
Ry cm Zy cm3
IPE360 57.1 360 170 8 12.7
EJE Y ‐ Y
Kg/ml mm mm mm
cm2 Ix cm4
Sx cm3
tw tf r1 r2
AREA EJE X ‐ X
DESIGNACIÓN
PESO
191.00
Ss
m m Kg/m2
Kg/m
2
Kg/m
2
Lviga At Wcm Wcv
f1
72.70 16,270.00 904.00 15.00 1,020.00 1,040.00 123.00 3.79
0.00
COLUMNA
DESIGNACIÓN
PESO
DIMENSIONES (mm)
d bf tw tf r1
12.00 6.00 480.00 250.00 0.50
mm mm Kg/cm
2
HEB600 212 600 300 15.5 30
PROPIEDADES
AREA EJE X ‐ X EJE Y ‐ Y
Kg/cm2
r2 Fy Fu Ry Rt
27 0 2,530.00 4,080.00 1.5 1.2
Kg/ml mm mm mm mm
3.70 3.70
ARRIBA ABAJO
m m
Sy cm
3
Ry cm Zy cm3
270.00 171,000.00 5,700.00 25.20 6,425.00 13,980.00 902.00
cm2 Ix cm
4
Sx cm3
Rx cm Zx cm3
Iy cm4
7.08 1,390.00
ALTURA DE ENTREPISO COLUMNA

2. TIPO
Fy Fu
Kg/cm
2
Kg/cm
2
ASTM ‐ A 36 2,530.00 4,080.00
PLANCHA
PERNO
TIPO
A325
Ft Fv
Kg/cm
2
Kg/cm2
6,330.00 4,220.00
AGUJERO
ESTÁNDAR
TIPO
+ db
mm
3.00
28.575
1 1/4" 31.75
1 3/8" 34.925
1 1/2" 38.1
1 3/4" 44.45
2" 50.8
TIPO
FExx
Kg/cm
2
E60XX 4,220.00
ELECTRODODiametro
pulg mm
1/2" 12.7
5/8" 15.875
de
mm
22
30
32
38
45
58
2 1/8" 53.975
2 1/4" 57.15
2 1/2" 63.5
Pfoinicial
mm
23
27
32
37
42
47
51
56
61
72
82
87
92
102
3/4" 19.05
7/8" 22.225
1" 25.4
1 1/8"
62
67
78
89
95
101
112
Pb
mm
39
48
58
67
77
88
96
105
115
134
153
162
172
191
52
UNIÓN 4ES
256 266 220
140 150 120
Pfo 114 38 140
64 64
tbf
bbf
d
tp
bp
g
Pfi
Pb
Máximo Mínimo
19
mm
Parametro
UNIÓN 4E
mm
10
235 152
1400 349
57 13
273 178
152 102
114 38
‐ ‐
Máximo Mínimo
mm mm
19 10
152
610 349
38 13
273 178
152 83
140 44
229
‐
LIMITACIONES
UNIÓN 4E UNIÓN 4ES UNIÓN 8ES
mm mm mm
12.7 12.7 12.7
170 170 170
360 360 360
45 31 26
UNIÓN 8ES
Máximo Mínimo
mm mm
25 14
311 190
914 457
64 19
SI
50
64 64 50
67‐ ‐
COLOCADO
COLOCADO
UNIÓN 4E UNIÓN 4ES UNIÓN 8ES
mm mm mm
SI SI SI
‐
381 229
152 127
51 41
95 89
44 51 41
Parametro
tbf
bbf
d
tp
bp
g
Pfi
Pfo
Pb
SI SI SI
SI SI SI
SI SI SI
SI SI SI
SI SI SI
SI SI
SI SI SI
‐ ‐ NO

3. MOMENTO MAXIMO PROBABLE
ALTURA DE PLANCHA
4E y 4Es
= + +
= x +
=
1.21
47
52
112
122
1.
2.
2.1.
Lst =
tan 30°
hst
1.31
Mpr
Mpr = Cpr x Ry x Fy
=
Cpr =
Fy + Fu
≤ 1.20 Cpr = 1.20
2 x FY 2 x FY
Cpr =
Fy + Fu
=
ANSI/AISC 358‐16
(2.4‐2) / Pag. 9.2‐8
de tfvigahst Pfo
2 hst dviga
X1
mm
43
Cpr x Ry = 1.80
1 3/4"
47
1 1/4" 51
1 3/8" 56
1 1/2" 61
hplancha
Diametro Pfoinicial
pulg mm
1/2" 23
5/8" 27
3/4" 32
7/8" 37
1" 42
1 1/8"
72
2" 82
2 1/8" 87
2 1/4"
ANSI/AISC 358‐16
(6.9‐1) / Pag. 9.2‐26
Tfviga
mm
12.70
12.70
12.70
12.70
12.70
12.70
12.70
12.70
12.70
12.70
12.70
12.70
12.70
12.70
Pfo
57
62
67
71
76
81
92
102
107
Pfoinicial + Tfviga
Tfviga 12.70 mm 92
2 1/2" 102
=
Fy = 446.75
Fypr = 4,554.00 Kg/cm2 = 446.75 MPa Fupr = 7,344.00 Kg/cm2 = 720.45 MPa
Mf
Mpr
= 1.00
% de carga = 100.00 %4,645,080.00 Kg x cm = 46,450.80 Kg x m = 455.68 KN x m
x Zx
ANSI/AISC 358‐16
(2.4.1) / Pag. 9.2‐7

4. 8Es
= + + +
= x +
954 515
115
134
1196 724
172
191
57.15
63.5
2" 95 337 1034
619
153
162
105
256
234
7/8" 50 38 155 670 269
58
67
19.05
22.225
55 45 177 714 307
1 1/4" 64
872
218 796
444
655
409
96
105
760 347
77
88
25.4
28.575
mm
Diametro
1/2" 36 22 97 554 169
40 30 118 596 205
39
48
12.7
15.875
89
44.45
1"
584
1 3/4"
2.2.
hst Pfo de tfviga
hplancha 2
Pfo de hst hplancha Lst
pulg mm mm mm mm mm
378
Lst =
hst
tan 30°
45
1 3/8" 69
2 1/8" 100
38.1
31.75
34.925
1 1/2" 74
115
60
85
584
604
622
642
686
728
750
772
814
122
131
141
163
212
227
245
283
319
338
357
394
74.00
85.00
95.00
50.8
53.975
2 1/4"
3/4"
5/8"
1/2"
pulg
Pfo
mm
36.00
40.00
45.00
194
105.00
115.00
de
95
mm
22
30
32
38
45
52
58
62
67
78
89
101
112
dviga
Pb
5/8"
mm
58
70
77
88
100
476
500
514
536
560
1 1/8"
1 1/4"
1 3/8"
1 1/2"
1 3/4"
2"
2 1/8"
2 1/4"
2 1/2"
1"
7/8"
hst
50.00
55.00
60.00
64.00
69.00
112
hplancha
mm
Lst
mm
184
195
206
227
101
hst
122
134
153
174
2 1/2"
3/4"
1 1/8"
100.00
78
52 200
95
67
112 418
58
297
ANSI/AISC 358‐16
(6.9‐1) / Pag. 9.2‐26
Pb
mm
32 135 630
101 378 1116
357 1074
62 236 832
Diametro
mm
12.7
15.875
19.05
22.225
25.4
28.575
31.75
34.925
38.1
44.45
50.8
53.975
57.15
63.5

5. DISTANCIA DE LA CARA DE LA COLUMNA A LA ROTULA PLASTICA "Sh"
130.21
151.21
163.21
182.21
203.21
223.21
241.21
256.21
274.21
2 1/4"
2 1/2"
51.00 cm
2
=
2 1/8"
348.21
367.21
1 1/2"
1 3/4" 312.21
1 1/4"
1 3/8"
1"
1 1/8"
Sh2Sh1 = = 180.00 mm
4E
18.00 cm
dviga
3/4"
3.
= 3 x bfviga
180.00 mm =
tfviga
386.21
423.21
2"
7/8"
18.00 cm
Sh = Lst + tp
4ES
tp(INICIAL) =
Sh
1/2"
5/8"
=Min ( Sh1
Diametro
pulg
Sh
mm
2.30
Sh2 )
ANSI/AISC 358‐16 ‐ (Sect. 2.3.) / Pag. 9.2‐5
ANSI/AISC 358‐16 ‐ (Sect. 2.3.) / Pag. 9.2‐5
x
=
;
tp = 29.21 mm
29.21 mm = 25.00 mm=
= 510.00 mm =
Mpe
Vu
Rotula plástica
s0
Mf
sh

6. DISTANCIA ENTRE ROTULAS "Lh"
DISTANCIA ENTRE ROTULAS
= ‐ ‐ x
1 1/8" 374.686
2 1/8" 646.686
2 1/4" 682.686
2 1/2" 751.686
1 1/4"
11,143.79
1 1/2" 11,125.79
1 3/4" 11,087.79
2"
Diametro Lh
pulg mm
1/2" 11,220.00
5/8" 11,220.00
1 1/4"
11,220.00
3/4" 11,220.00
7/8" 11,220.00
1" 11,220.00
1 1/8" 11,220.00
1 1/4" 11,220.00
1 3/8"
11,220.00
1 3/8" 11,220.00
1 1/2" 11,220.00
1/2" 196.686
405.686
1 3/8" 436.686
1 1/2" 471.686
x tfviga = 27.69 mm
4.
5/8" 232.686
Diametro Sh
pulg mm
1 3/4" 542.686
2" 611.686
tp(INICIAL)
8ES
tp+
3/4" 261.686
7/8" 296.686
= 2.18
1" 334.686
Sh = Lst
Lh Lviga dcol 2 Sh
10,976.79
11,051.79
2 1/8" 11,032.79
2 1/4" 11,220.00
2 1/2" 11,220.00
4E 4ES
Diametro Lh
pulg mm
1/2" 11,269.79
5/8" 11,248.79
3/4" 11,236.79
7/8" 11,217.79
1" 11,196.79
1 1/8" 11,176.79
11,158.79
ANSI/AISC 358‐16 ‐ (Sect. 2.3.) / Pag. 9.2‐5
10,963.31
1 1/2" 10,928.31
tp = 27.69 mm
8ES
Lh
1 3/8"
Diametro
2 1/4" 10,717.31
2 1/2" 10,648.31
2" 11,220.00
2 1/8"
1 3/4" 10,857.31
2" 10,788.31
2 1/8" 10,753.31
2 1/4" 11,013.79
2 1/2"
1 3/4"
pulg mm
1/2" 11,203.31
5/8" 11,167.31
3/4" 11,138.31
7/8" 11,103.31
1" 11,065.31
ANSI/AISC 358‐16 ‐ (Sect. 6.8.) / Pag. 9.2‐29
1 1/8" 11,025.31
1 1/4" 10,994.31

7. CARGAS GRAVITACIONALES SOBRE LA VIGA.
= x + x + x + x
= x = = x =
= x = = =
= =
CORTE GRAVITACIONAL "Vgravitacional"
x
CORTE ULTIMO "Vu"
x
Wcm
0.20 Sf1 Cv
2,880.00 Kg / m
Wu 1.20 Cp 1.20 Pp
Cp At
5.
S At Ss 0.00 Kg / m
Pp 57.10 Kg / m
Vgravitacional =
4E 4ES 8ES
Diametro Vgravitacional Diametro Vgravitacional Diametro Vgravitacional
Wu 4,274.52 Kg / m
f1 0.50
6.
Wu Lh
Cv At Wcv 1,500.00 Kg / m
2
41.93 KN x m
5/8" 23,980.06 5/8" 24,041.59 5/8" 23,867.45
3/4" 23,980.06 3/4" 24,015.94 3/4" 23,805.47
pulg Kg pulg Kg pulg Kg
1/2" 23,980.06 1/2" 24,086.47 1/2" 23,944.39
1 1/8" 23,980.06 1 1/8" 23,887.71 1 1/8" 23,563.96
1 1/4" 23,980.06 1 1/4" 23,849.24 1 1/4" 23,497.71
7/8" 23,980.06 7/8" 23,975.33 7/8" 23,730.67
1" 23,980.06 1" 23,930.45 1" 23,649.45
1 3/4" 23,980.06 1 3/4" 23,697.49 1 3/4" 23,204.90
2" 23,980.06 2" 23,620.55 2" 23,057.43
1 3/8" 23,980.06 1 3/8" 23,817.18 1 3/8" 23,431.45
1 1/2" 23,980.06 1 1/2" 23,778.71 1 1/2" 23,356.65
2 1/2" 23,980.06 2 1/2" 23,460.25 2 1/2" 22,758.22
7.
2 Mpr
2 1/8" 23,980.06 2 1/8" 23,579.94 2 1/8" 22,982.63
2 1/4" 23,980.06 2 1/4" 23,539.33 2 1/4" 22,905.69
Lh
Vu = + Vgravitacional
ANSI/AISC 358‐16
(6.8‐2) / Pag. 9.2‐29
ANSI/AISC 358‐16 ‐ Sect. 5.8.] / Pag. 9.2‐18
ANSI/AISC 358‐16 ‐ Sect. 5.8.] / Pag. 9.2‐27
ANSI/AISC 358‐16 ‐ Sect. 5.8.] / Pag. 9.2‐27
Wu
VuVuMpe Mpe
Lh

8. MOMENTO MÁXIMO PROBABLE A LA CARA DE LA COLUMNA "Mf"
1 1/4" 31.75
1 3/8" 34.925
1 1/2" 38.1
1 3/4" 44.45
2 1/2" 63.5
50.8
53.975
57.15
63.5
4E
Diametro
pulg mm
1/2" 12.7
5/8" 15.875
3/4" 19.05
7/8" 22.225
1" 25.4
1 1/8" 28.575
1 1/4" 31.75
1 3/8"
pulg
4ES
32,174.65
Kg
44.45
2 1/2" 32,260.06
1 1/2" 38.1
1 3/4" 44.45
2" 50.8
2 1/8" 53.975
2 1/4" 57.15
Diametro
mm
12.7
7/8" 22.225
1" 25.4
1 1/8" 28.575
53.975
2 1/4" 57.15
2 1/2"
5/8" 15.875
3/4"
1" 25.4
28.575
1 1/4"
63.5
8ES
2" 50.8
2 1/8"
2 1/8" 53.975
15.875
19.05
22.225
25.4
28.575
31.75
34.925
38.1
44.45
50.8
53.975
57.15
63.5
15.875
19.05
22.225
25.4
28.575
3/4"
Kg
1/2" 32,260.06 32,329.89 32,236.73
Vu Vu VuDiametro
mm
12.7
Kg
Diametro
pulg mm
1/2" 12.7
31,947.6831.75
34.925
38.1
15.875
7/8" 32,260.06 32,256.97 32,097.68
1" 32,260.06 32,227.62 32,045.20
5/8" 32,260.06 32,300.40 32,186.52
3/4" 32,260.06 32,283.57 32,146.2019.05
22.225
25.4
34.925
1 1/8" 32,260.06
5/8" 15.875
3/4" 19.05
31,482.75
8.
2 1/8" 32,260.06 32,000.44 31,621.97
2 1/4" 32,260.06 31,974.36 31,574.05
1 3/4" 32,260.06 32,076.22 31,761.49
2" 32,260.06 32,026.57 31,668.75
28.575
1 3/8" 32,260.06 32,153.80 31,905.31
1 1/2" 32,260.06 32,128.82
32,199.72 31,990.17
1 1/4" 32,260.06
4E 4ES
Diametro
pulg mm
1/2" 12.71/2" 52,257.61 1/2" 50,660.48
Mf = Mpr + Vu x Sh
52,257.61 3/4" 51,719.80 54,863.01
7/8" 52,257.61 7/8" 52,328.34 55,973.73
5/8" 52,257.61 5/8" 51,334.94 53,940.15
Mf Mf Mf
pulg Kg x m pulg Kg x m Kg x m
19.05
7/8" 22.225
52,791.31
Diametro
mm
12.7
1 1/2" 52,257.61 1 1/2" 55,260.84 61,477.61
1 3/4" 52,257.61 1 3/4" 56,465.32 63,687.32
1 1/4" 52,257.61 1 1/4" 54,211.65 59,411.52
1 3/8" 52,257.61 1 3/8" 54,688.93 60,383.40
44.45
31.75
1 3/8" 34.925
1 1/2" 38.1
1 3/4" 44.45
31.75
34.925
38.1
1" 52,257.61 1" 52,999.77 57,175.88
1 1/8" 52,257.61 1 1/8" 53,638.10 58,437.07
68,005.96
2 1/2" 52,257.61 2 1/2" 59,961.23 70,115.94
2" 52,257.61 2" 57,602.77 65,822.13
2 1/8" 52,257.61 2 1/8" 58,201.68 66,900.29
50.8
53.975
57.15
63.5
2" 50.8
2 1/4" 52,257.61 2 1/4" 58,799.62
2 1/2" 63.5
1 1/8"
ANSI/AISC 358‐16
(6.8‐1) / Pag. 9.2‐29
8ES
31,857.65
31,923.71
2 1/4" 57.15

9. DISTANCIAS "h"
Para 4E y 4ES
85.00
‐ Pfi
105.30
115.30
389.95
393.95
398.95
225.65 468.95
69.00
9.
tfviga
2
h1 = dviga ‐
2 1/2" 115.00
Pfi
mm
36.30
40.30
45.30
50.30
55.30
60.30
64.30
69.30
74.30
85.30
95.30
100.30
1 3/8"
ho
300.65
295.65
tfviga
= dviga ‐
tfviga
2
+ Pfo
1 1/2" 74.00
1 3/4"
3/4" 45.00
7/8" 50.00
60.00
1 1/4" 64.00
Pfo
pulg mm
‐
mm
304.65
ho
Diametro
4E y 4ES
266.65 427.95
255.65 438.95
245.65 448.95
240.65 453.95
235.65 458.95
290.65 403.95
285.65 408.95
280.65 413.95
276.65 417.95
271.65 422.95
h1
2 1/4" 105.00
1" 55.00
1 1/8"
2" 95.00
1/2" 36.00
5/8" 40.00
2 1/8" 100.00
mmmm
12.7
15.875
19.05
22.225
25.4
28.575
31.75
34.925
38.1
44.45
50.8
53.975
57.15
63.5
ANSI/AISC 358‐16
(6.8) / Pag. 9.2‐31

10. Para 8ES
Diametro
8ES
5/8" 40.00 40.30 441.65 393.65
3/4" 45.00 45.30 456.65 398.65
48.00
58.00
pulg mm mm mm mm
1/2" 36.00 36.30 428.65 389.65
mm
39.00
h2
1 1/8" 60.00 60.30 501.65 413.65
1 1/4" 64.00 64.30 513.65 417.65
88.00
96.00
7/8" 50.00 50.30 470.65 403.65
1" 55.00 55.30 485.65 408.65
67.00
77.00
1 3/4" 85.00 85.30 572.65 438.65
2" 95.00 95.30 601.65 448.65
134.00
153.00
1 3/8" 69.00 69.30 527.65 422.65
1 1/2" 74.00 74.30 542.65 427.65
105.00
115.00
h1 = dviga ‐
tfviga
2
+ Pfo + Pb
191.00
2 1/8" 100.00 100.30 615.65 453.65
2 1/4" 105.00 105.30 630.65 458.65
162.00
h3 = h2
h3 h4
mm mm
h2 = h1 ‐ Pb
304.65 265.65
252.65
237.65
223.65
208.65
192.65
180.65
166.65
151.65
121.65
92.65
78.65
63.65
34.65
Pb
172.00
h1
2 1/2" 115.00
Pfi
300.65
295.65
290.65
285.65
280.65
276.65
271.65
266.65
255.65
245.65
240.65
235.65
225.65
h4 = h3 ‐ Pb
659.65 468.65
‐
Pfo Pfi
‐ Pfo ‐ tfviga
115.30
mm
12.7
15.875
19.05
22.225
25.4
28.575
31.75
34.925
38.1
44.45
50.8
53.975
57.15
63.5
ANSI/AISC 358‐16
(6.8) / Pag. 9.2‐32

11. DIAMETRO DEL PERNO REQUERIDO POR TRACCIÓN.
x
x x x ( + )
x
x x x ( + + + )
=
x Para estado límite no ductil
x x =
: = =
= =
Para:
4E Y 4ES
8ES
Fnv
Fnv
6330 kg/cm²
Øn 0.90
Fnt
ANSI/AISC 358‐16
(2.4‐1) / Pag. 9.2‐7
Fnt ho h1
2 Mf Para:
10.
db req'd =
Π Øn
nb
4
Vu < Øn x Rn Øn x
28.99508
pulg mm mm
16.44
db2 req'ddb2 req'd
mm
16.44
16.44
16.44
16.44
16.44
h1
db1 req'd =
h4
Ab
Ab
2 Mf
Π Øn Fnt h2 h3
16.44
db2 req'd
ANSI/AISC 358‐16
Numero de pernos en zona comprimida.
16.44
5/8" 15.875 28.73797
nb 8
5/8" 15.875
4ES 8ES
nb
pulg mm mm
3/4" 19.05 21.01204
Vu
>
=
16.44
16.44
16.44
nb x
Diametro db1 req'd Diametro db2 req'd
mm
11.62
11.61
11.61
11.60
11.59
19.05 28.84549
mm
16.41
16.40
29.8166128.99508
22.225 21.22367
20.83457
11.56
11.55
11.54
>
Øn nb Fv
ANSI/AISC 358‐16
(6.8‐3) / Pag. 9.2‐29
ANSI/AISC 358‐16
(6.8‐4) / Pag. 9.2‐29
x
"8ES"
4E
0.90
Ab 4
Π
Øn 4,220.00 Kg/cm2
1/2"
16.42
16.42
16.46
16.45
16.45
16.44
16.43
12.7 28.99508 1/2" 12.7 28.54856 1/2" 12.7 20.6115
3/4" 19.05
11.58
11.57
db1 req'd Diametro db1 req'd
1 3/8" 34.925 28.99508
23.754
16.38
16.36
16.43
3/4"
25.4
pulg mm mm
1 1/8" 28.575 21.68566
1 3/4" 44.45 22.63888
57.15 30.75649 2 1/4" 57.15 23.39386
16.38
16.37
1 3/8" 34.925 29.66192 1 3/8" 34.925 22.04384
11.52
11.51
11.50
11.49
7/8" 22.225 28.99508 7/8" 22.225 29.0147 7/8"
1" 25.4 28.99508 1" 25.4 29.20025 1" 21.45037
2 1/8" 53.975 28.99508 2 1/8" 53.975 30.59971 2 1/8" 53.975 23.20291
2 1/4" 57.15 28.99508 2 1/4"
1 1/2" 38.1
1 1/4" 31.75 28.99508 1 1/4" 31.75 29.5322 1 1/4" 31.75 21.86572
1 1/2" 38.1 1 1/2" 38.1 22.24267
16.44
16.44
16.44
2 1/2" 63.5
2" 50.8 28.99508 2" 50.8 30.44187 2" 50.8 23.01518
(6.8‐11.) / Pag. 9.2‐33
1 3/4" 44.45 28.99508 1 3/4" 44.45 30.13981
1 1/8" 28.575 28.99508 1 1/8" 28.575 29.37557
5/8" 15.875 28.99508
"4E" y "4ES"
2 1/2" 63.5 28.99508 2 1/2" 63.5 31.05881

12. = = =
ALTURA "Yp"
4E
= =
= = = =
= = =
= x + + x = = x + =
= ( ; ) =
= ‐ x x ‐ =
= x ( + ) + = = =
= ( ; ) =
= + x = = + =
> = = =
(Tabla 6.2) / Pag. 9.2‐31
g1 dp twcolumna 2 r 133.00 mm Pfo 2 twcolumna 143.50 mm
g3 bfviga 170.00 mm
2
7/8"
bp2 bfviga 50.00 mm 220.00 mm
pulg
1/2"
5/8"
53.975
57.15
63.5
29.00
28.575
31.75
34.925
29.00
50.8
2 1/8"
twcolumna
11.
11.1.
S =
1
2
x
29.66
1 1/2" 38.1
2 1/4"
2 1/2"
db req'd
mm
29.00
29.00
29.00
29.00
29.00
29.00
29.00
29.00
3/4"
7/8"
1"
1 1/8"
1 1/4"
1 3/8"
1 1/2"
1 3/4"
2"
30.14
2" 50.8 30.44
2 1/4" 57.15
g max g5 g6
g
g2
bfviga 170.00 mm
Diametro perno 1 1/4"
g6
2 1/2" 63.52 1/2" 63.5 31.06
Diametro del perno a utilizar
Pfo 276.65 mm
203.00 mm
140.00 mm
g5 bfcolumna
max g1
2
31.75 mm
Diametro del perno a utilizar
7/8" 22.23 mm1 1/4" 31.75 mm
Pfi 64.30 mm
= 94.66 mm
31.75 mm1 1/4"
Diametro del perno a utilizar
64.00 mm h1
pulg mm mm
1/2" 12.7 28.55
5/8" 15.875 28.74
3/4" 19.05 28.85
1 1/8"
23.75
23.20
bp
44.45
29.20
Diametro
4E
19.05
22.225
25.4
29.00
12.7
15.875
22.225 29.01
25.4
Diametro db req'd Diametro db req'd
pulg mm mm
1/2" 12.7
29.00
29.00
22.225 21.22
1" 25.4 21.45
1 1/2" 38.1 22.24
1 1/8"
8ES
28.575 21.69
1 1/4" 31.75 21.87
1 3/8" 34.925 22.04
19.05 21.01
7/8"
r twcolumna 139.00 mm
bp 256.00 mm
23.39
2 1/8" 53.975
1 3/4" 44.45 22.64
2" 50.8
bp1
Pfi Pfi
mm
1"
20.61
5/8" 15.875 20.83
3/4"
1.25 dp
28.575 29.38
1 1/4" 31.75 29.53
1 3/8" 34.925
23.02
x
29.82
1 3/4"
2 1/8" 53.97530.60
2 1/4" 57.15 30.7629.00
38.1
44.45
4ES
g
SSi
2 dg
S S
ho 417.95 mm
94.66 mm
de 58.00 mm
2 de 256.00 mm
51.00 mmPfoinicial
ANSI/AISC 358‐16
g3 g2 135.00 mm

13. 4ES
= =
= = =
= = =
= = = x + + =
= ‐ x x ‐ = = ( ; ; ) =
= ( ; ) = = x ( + ) + =
= + x = = + =
> = = =
x
Caso 1 ≤ Caso 2 >
8ES
= =
=
Caso 1
(Tabla 6.3) / Pag. 9.2‐32
Caso 2
(Tabla 6.4) / Pag. 9.2‐33
bp2
x h1 x
1
gPfi
+(
Diametro perno 1 1/4" 31.75 mm
x h1 x
2
ho x ( Pfi
1
Pfo
)
1
2
‐ +
2bp
+ SYp =
Pfoinicial 51.00 mm Pfi 64.30 mm Pfo 64.00 mm
Yp = 1,559.07 mm
11.2.
S =
1
x Bp x g = 99.87 mm
1
S
) +
2
S S 99.87 mm
2 twcolumna 149.25 mm
150.00 mm
de 58.00 mmh1 276.65 mm ho 417.95 mm
g1 bfviga 170.00 mm g2 Pfoinicial
bfviga 50.00 mm 220.00 mm
g3 bfcolumna 2 1.25 dp twcolumna 203.00 mm
g max 139.00 mmtwcolumna
Yp1 = 3,372.93 mm
( )
Yp1 = x h1 x (
1
+ ) + ho x (
1
)+
bp1 g 2 de 266.00 mm
bp 266.00 mmSi Pfi S Pfi
Pfo 2
bp
2
1
S S
1 2
g
+ x h1 x ( Pfi +
Pfi
Yp2 =
bp
x h1 x (
1
+
1
) + ho x (
1
+
3,884.57 mm
de S Yp1 de S
x ( S + Pfo )
2 Pfi S Pfo gS
h1 x ( Pfi + S ) + ho
1
) +
Yp2
2
de 38.00 mm
Yp2 =
ANSI/AISC 358‐16
ANSI/AISC 358‐16
g4
Yp = 3,372.93 mm
11.3.
7/8" 22.23 mm
g4 g5
2
x
ho x+ de +( Pfo ))S
S =
1
x Bp x g = 76.68 mm
Diametro perno
dp
min g1 g2 g3 149.25 mm
g5 2 dg r

14. = = = =
= = = =
= = = x + + =
= ‐ x x ‐ = = ( ; ; ) =
= ( ; ) = = x ( + ) + =
= + x = = + =
> = = =
x
x x
x x
Caso 1 ≤ Caso 2 >
Caso 1
Caso 2
226.00 mmg3 bfcolumna 2 1.25 dp twcolumna
Yp1 =
bp
x h1 x
111.73 mm
120.00 mm
bp1 g 2 de 196.00 mm
bp 220.00 mm
g1 bfviga 170.00 mm g2 Pfoinicial 2 twcolumna
bp2 bfviga
Pfi 50.30 mm Pfo 50.00 mm
2
(
1
)
S
(
1
2 de
) + h2 x (
1
Pfo
+ h2
)
4
h1 x
) + h3 x (
220.00 mm
Yp = 4,622.33 mm
S
S
+
1
)
Pfi
+ h4 x
Pfi S S 76.68 mm
50.00 mm
Pb
+
2
g
x
Si Pfi
Pfoinicial 37.00 mm
( de + )
4
+ h3 x ( Pfi +
Pb
)
4
( Pfo +
Pb
)+
3
4
h2 x +
3 Pb
( S +h4 x
Yp2 =
bp
x h1
2
x (
1
S
Yp1 = 4,622.33 mm
) + h2
+ Pb2
+ g
2
x h1 x )
4
+ Pb
2
+ g
x ( Pfi +
Pb
)
4
+ h4( Pfo +
3 Pb
)
4
+ h3 S
1
)
Pfi
+ h4 x (
1
)
x
+ h3 x (
( S +
Pb
) x
g 4
Yp2 = 4,919.70 mm
Yp1 de S Yp2de
+
3 Pb
S
x (
1
)
Pfo
(
120.00 mmdg r twcolumnag max g4 g5
h1 470.65 mm h2 403.65 mm h3 290.65 mm
Pb
223.65 mm
67.00 mm
g2 g3 111.73 mmg1g4 min
h4
g5 2
dp

15. ESPESOR DE PLANCHA EXTREMA"tp"
x =
x x
=
‐ tfvig
x
ESPESOR DE PLANCHA RIGIDIZADORES "tpr"
=
ANSI/AISC 358‐16
(2.4‐1) / Pag. 9.2‐7
TIPO
Diametro
pulg mm
4E 1 1/4" 31.75
ESPESOR DE PLANCHA
EXTREMA A UTILIZAR
4ES 1 1/4" 31.75
8ES 7/8"
TIPO
Diametro
pulg mm
4E 1 1/4" 31.75
h3
‐ 470.65
Pt x
22.23
tp
mm
45.00
31.00
26.00
tp
mm
45.00
31.00
26.00
Mnp = 2 x Pt x ( h1 + h2 )+ h3 + h4
h2
x
h4
‐ ‐
( ho + h1 )
ho
mm
417.95
417.95
h1
mm
276.65
276.65
Mnp
Kg x m
69,621.89
69,621.89
db2
4
Yp
mm
1,559.07
3,372.93
Π
4,622.33403.65 290.65 223.65
4E y 4ES
8ES
4ES 1 1/4" 31.75
8ES 7/8" 22.23
Pt
Kg
50,116.54
50,116.54
24,557.10
Mnp = 2 x
Fyp 2530 kg/cm²
Ød 1.00
tp
mm
39.00
27.00
24.00
Mf
Kg x m
52,257.61
54,211.65
7/8"
31.75
22.23
1,559.07
Yp
mm
3,372.931 1/4"
TIPO
mm
0.56 x
Fyplancha
E
12.
tp =
1 1/4" 31.75
59,411.52
68,199.99
mm mm mm
‐ ‐ ‐
‐
4E
4ES
8ES
Diametro
pulg
4,622.33
ANSI/AISC 358‐16
(6.8‐5) / Pag. 9.2‐29
Pt = Fnt
22.23 10.00
hst
mm
‐
122.00
155.00
tpr2 ≥
0.56 x
E
Fyplancha
hst
TIPO
Diametro tp2
pulg mm mm
8.00
8ES 7/8"
tp
mm
‐
8.00
10.00
tp1
mm
‐
8.00
8.00
RIGIDIZADOR A UTILIZAR
ESPESOR DE PLANCHA
E
4E 1 1/4" 31.75
2,100,000.00 Kg/cm2
1.11 Mf
Ød Fyp Yp
ANSI/AISC 358‐16
(6.8‐10) / Pag. 9.2‐33
ANSI/AISC 358‐16
(6.8‐10) / Pag. 9.2‐32
‐
4ES 1 1/4" 31.75
13.
tpr1 = twviga x
Fyplancha
Fyviga
= 8.00 mm
hst
tpr
≤
Ffu
Ffu =
Mf
dvig156,094.58
171,066.87
Kg
150,468.21

16. FUERZAS EN LAS ALAS DE LA VIGA "Ffu"
‐
VERIFICACIÓN DE ESPESOR DE PLANCHA PARA" 4E"
=
Para estado límite ductil
x x x x
=
x x x x
31.75 256.00 19.00
4ES 1 1/4" 31.75
0.90
mm
7/8" 22.23 220.00 23.00
3.00
3.00
3.00
+ db X1
mm
186.50
196.50
169.55
4E 1 1/4"
Ffu
≤ Øn x
2
0.6 x Fuplancha x
266.00 19.00
8ES
tp x X1
tp ≥
2 Øn 0.6 Fuplancha X1
TIPO
Diametro bp tp
pulg mm mm mm
Ffu Øn
bp = 256.00 mm
tp
0.6 x x bpFyplancha x tp
ANSI/AISC 358‐16
(6.8‐7) / Pag. 9.2‐30
tfviga
mm
256.00
266.00
220.008ES 7/8" 22.23Ød 0.6 Fyplancha bp
Ffu
171,066.87
360 12.7
360 12.7
ANSI/AISC 358‐16
Ffu
≤ Øn x Rn ANSI/AISC 358‐16
2 (6.8‐8) / Pag. 9.2‐28
TIPO
Diametro
pulg mm
4E 1 1/4" 31.75
4ES 1 1/4" 31.75
dbg : diametro del agujero
Rn = 0.6 x Fuplancha x An An = tp x X1
X1 = bp ‐ 2 x ( +db + db )
Rn = 0.6 x Fuplancha x tp x X1
20.00
20.00
26.00
bp
mm
Ød 1.00 ANSI/AISC 358‐16
(2.4‐1) / Pag. 9.2‐7
Ffu
≤
2
Ød x 0.6 x Fyplancha x bp x tp
≥
2
Ffu
2
≤ xØd Rn
Rn =
tp
(6.8‐6) / Pag. 9.2‐30
14.
Ffu =
dviga tfviga
Mf
TIPO
4E
4ES
8ES
Mf
Kg x m
52,257.61
54,211.65
59,411.52
dviga
mm
360 12.7
Ffu
Kg
150,468.21
156,094.58
15.
mm

17. RESUMEN PLANCHA EXTREMA
SOLDADUDA ALAS DE LA VIGA
x x
x
‐
= x x = = x ‐ =
SOLDADUDA ALMA DE LA VIGA
= x x = =
= ( )
24.00
TIPO
Ffu
Kg
4E 150,468.21
4ES 156,094.58
8ES 171,066.87
=Fced viga
105,212.57
65,854.30 Kg Ffilete = Ffu Fced viga‐ Øw = 0.60
x Cpr Ry
Ffilete
0.7071 ØFw
Lv1;Lv2
31
Dfviga = 13.00 mm
tp
mm
45
Lv min
604
670
Øw 0.60
mm
‐
8
Rwpenetración = 91,109.80 Kg
RIGIDIZADOR
‐
122
155
tp
10
Lst
18.
ØFw 0.75
=
64,984.78
Øw
= 167.30 mm
Fyviga x bfviga x
Lv1 =
dviga
2
‐ tfviga
11
13
150,468.21
Df3viga
4ES
8ES
Ffu
Kg
79,957.07
10
171,066.87
Ffu
mm
59,358.41
FExx 1,899.00 Kg/cm2
Kg
26
64
50
64 58
Pfi
= 98,320.86 Kg
x
Lef bfviga twviga
Rwpenetración =
156,094.58
FExx x bfviga
TIPO
4E
tfviga = 91,109.80 Kg
Rwpenetración
mm
Sxviga Fyviga
dviga tfviga
tfviga x
Df1viga
16.
Dfviga =
17.
g bp
mm mm
140 256
hplancha
mm
604
mm
19.00
21.00
64.30
50.30
58
38
150
120
266
220
TIPO
4E
4ES
8ES
1 1/4" 31.75
Lef
ØFw 0.75 Øw FExx 21,899.00 Kg/cm2
‐
212
269
mm
hst
mm
332.00 mm
=
Ffilete
Kg
84,613.91
90,240.28
22.23
Pfo de
mm
34.75
25.237/8"
PERNO PLANCHA EXTREMA
Diametro
pulg mm
1 1/4" 31.75
mm
64.30
mm
dbg
34.75

18. x x x
x x x
x x
= ( ; ; )
PLANCHA EXTREMA
Desgarramiento por los pernos
= ( ; ) :
:
Desgarramiento por los pernos internos
= ‐ = ( ; )
:
TIPO
Diametro
pulg mm
4E 1 1/4" 31.75
4ES 1 1/4" 31.75
8ES 7/8" 22.23
Vu
Kg
Dw3viga
mm
8
8
8
mm
8
32,260.06
32,174.65
32,097.68
8
Dw1viga
mm
8
8
206.80
239.85
Dwviga
8
MaxDwviga Dw1viga Dw2viga Dw3viga
8
Vu
Dw2viga =
0.9 Fyviga Ry twviga
1.5 ØFw 1.4142
Dw2viga
mm
7
7
7
tp
mm SOLDADURA
MÍNIMA
mm
167.30
167.30
167.30
Lv2
mm
206.80
Dw3viga
Lv2 0.7071 ØFw
Dw1viga =
dperno )
45
31
26
Lv
mm
167.30
167.30
167.30
tfviga ‐
Lv1
( Pfi + 2 x
4E 1 1/4" 31.75
4ES 1 1/4" 31.75
8ES 7/8" 22.23
Pfi
mm
64.30
64.30
50.30
Lv2 = ‐dviga 2 x
TIPO
Diametro
pulg mm
Lc1 = de ‐
da
2
TIPO
Diametro
pulg mm
Fup
rno2
Kg
19.
Vu < Øn x Rn = Øn x (ni) x rni +
ANSI/AISC 358‐16
(6.8‐12.) / Pag. 9.2‐34
RESISTENCIA AL APLASTAMIENTO Y DESGARRAMIENTO POR CORTE DE LA PLANCHA Y EL ALA DE LA
COLUMNA:
rno
1 1/4" 31.75
4ES 1 1/4" 31.75
Øn x (no) x
96,377.76
56,583.07
rno
Kg
89,505.00
61,659.00
32,317.27
rno
19.1.
tp
mm
45.00
31.00
26.00
= 1.2 x Lc1 x tp x Fup
8ES 7/8" 22.23
mm
58.00
58.00
19.1.1.
89,505.00
61,659.00
4E
19.1.2.
Lc2 = x Lc2 x tp x Fuprni1 = 1.2 rni2 = 2.4Pfi +
32,317.27
Kg
rno1
rno1 rno2 = 2.4 x db x tp x
min rno1 rno2 rno1
rno2 Resistencia al aplastamiento
Desgarramiento por los pernos
38.00
de da
mm
34.75
34.75
25.23
Lc1
mm
40.63
40.63
25.39
139,903.20
Pfo + tfviga ‐ da x db x tp x Fup
Lc3 Pb da Lc3 min Lc2 Lc3

19. = ( ; ) :
:
Chequeo por corte
=
ALA DE LA COLUMNA
Desgarramiento por los pernos
= ( ; ) :
:
Desgarramiento por los pernos internos
x db x tp x Fup
8ES 7/8" 22.23 38.00 25.23 25.39 30.00 37,289.16 65,288.16 37,289.16
19.2.2.
Lc2 = Pfi + Pfo + tfviga ‐ da rni1 = 1.2 x Lc2 x tp x Fup rni2 = 2.4
4E 1 1/4" 31.75 58.00 34.75 40.63 30.00 59,670.00 93,268.80 59,670.00
4ES 1 1/4" 31.75 58.00 34.75 40.63 30.00 59,670.00 93,268.80 59,670.00
TIPO
Diametro de da Lc1 tfcolumna rno1 rno2 rno
pulg mm mm mm mm mm Kg Kg Kg
= 2.4 x db x x
2
rno min rno1 rno2 rno1 Desgarramiento por los pernos
rno2 Resistencia al aplastamiento
Fucolumna Fucolumnatfcolumna tfcolumna
19.2.1.
Lc1 = de ‐
da
rno1 = 1.2 x Lc1 x x rno2
64.30
rni2 rni
Kg Kg
139,903.20 139,903.20
96,377.76
234,090.00
161,262.00
Lc4
mm
106.25
106.25
1 1/4"
rni1
Kg
Diametro
pulg mm
31.75
1 1/4" 31.75
da
mm
34.75
34.75
Pfi
mm
19.1.3.
41.7850.30
Pfo
mm
64
64
50
Lc2
mm
106.25
106.25
87.78
TIPO
4E
4ES
8ES 7/8" 22.23 25.23
64.30
Øn
rni min rni1 rni2 rni1
rni2 Resistencia al aplastamiento
Desgarramiento por los pernos internos
x Rn = Øn x (ni) x rni + Øn x (no) x
96,377.76
53,177.90 56,583.07 53,177.90
< Øn x Rn
Si Chequea
Si Chequea
Si Chequea
Pb
mm
‐
‐
67
Lc3
mm
‐
‐
41.775
TIPO
Diametro
pulg mm
4E 1 1/4" 31.75
4ES
2
2
4
(ni) (no)
19.2.
Vu
Kg
32,260.06
32,174.65
32,097.68
rno
2
2
4
Øn Rn
Kg
x
412,934.76
284,466.17
307,782.63
Vu
1 1/4" 31.75
8ES 7/8" 22.23
Øn 0.90
Vu <
ANSI/AISC 358‐16
(6.8‐12.) / Pag. 9.2‐33

20. = ‐ = ( ; )
= ( ; ) :
:
Chequeo por corte
=
ALTURA "Yc" PARA 4E Y 4ES
SIN RIGIDIZADOR DE ALA
x
(Tabla 6.5) / Pag. 9.2‐34
+
C
4
) +
54,211.65
Mf
Kg x m
2,873.99
141 106.07 2,758.68
g
mm
140
150
+
g
2
1 1/4" 31.75
( S
20.
4E 1 1/4" 31.75 32,260.06 2 2 275,289.84
h1 = dviga ‐
tfviga
‐ tfviga ‐ Pfi
ANSI/AISC 358‐1620.1.
tfviga
Si Chequea
4ES 1 1/4" 31.75 32,174.65 2 2 275,289.84 Si Chequea
8ES 7/8" 22.23 32,097.68 4 4 355,133.81 Si Chequea
(6.8‐12.) / Pag. 9.2‐33
Øn 0.90
TIPO
Diametro Vu
(ni) (no)
Øn x Rn
Vu < Øn x Rn
pulg mm Kg Kg
8ES 7/8" 22.23 25.23 50.30 50 67 87.78 41.775 41.78 61,359.12 65,288.16 61,359.12
19.2.3.
Vu < Øn x Rn = Øn x (ni) x rni + Øn x (no) x rno
ANSI/AISC 358‐16
4E 1 1/4" 31.75 34.75 64.30 64 ‐ 106.25 ‐ 106.25 156,060.00 93,268.80 93,268.80
4ES 1 1/4" 31.75 34.75 64.30 64 ‐ 106.25 ‐ 106.25 156,060.00 93,268.80 93,268.80
rni2 Resistencia al aplastamiento
TIPO
Diametro da Pfi Pfo Pb Lc2 Lc3 Lc4 rni1 rni2 rni
pulg mm mm mm mm mm mm mm mm Kg Kg Kg
Lc3 Pb da Lc3 min Lc2 Lc3
rni min rni1 rni2 rni1 Desgarramiento por los pernos internos
mm
141
+ x h1 x (
2
g
S +
3 C
4
) +
=
bfcol
x h1
2
x ( )
1
S
+ ho x (
ho x
x bfcolC = Pfi Pfo
C
TIPO
4ES 1 1/4" 31.75
h1ho
mmmm
+ Pfo
2
tfcolumna req
mm
28.24
29.36
2
ho = dviga ‐
277418
tfviga
S Yc1
277418
102.47
Diametro
pulg mm
4E
+ + S =
1
2
S
Yc1
1
)
mm mm
C2
2
x g
52,257.61

21. x
x x =
CON RIGIDIZADOR DE ALA
=
‐ ‐
=
x
x x
ALTURA "Yc" PARA 8ES
SIN RIGIDIZADOR DE ALA
x
x xØd Fycolumna Yc (6.8‐13.) / Pag. 9.2‐34
120.00 113.00 94.87 3,641.87
Mf tfcolumna req
Kg x m mm
59,411.52 26.75
C ) + g
g 4 2
pb
mm
67.00
S
+ S
pb
2
+ h3 x (
pb
+ C )
2
tfcolumna req =
1.11 Mf ANSI/AISC 358‐16
+ 2 x h1 x ( Pb + C ) + h2 x ( + S
x h1 x (
1
) + h4 x (
1
)
2 S S
+
2
xh4
=
1.11 Mf ANSI/AISC 358‐16
Ød Fycolumna Yc (6.8‐13.) / Pag. 9.2‐34
4ES 4,185.8264.30 64
+
21.
21.1. ANSI/AISC 358‐16 (6.8.) / Pag. 9.2‐35
Yc1 =
bfcol
1 1/4" 31.75 418 277 150 141 106.07
Pfi Pfo
mm mm
64.30 64
+
2
x h1 x ( S
g
TIPO
Diametro ho g
52,257.61 23.10
54,211.65 23.84
tfcolumna req
4E 1 1/4" 31.75 418 277 140 141 102.47 4,297.09
psi
) + ho x
psi
Ød 1.00
(
1
S
+
1
)
pso
ANSI/AISC 358‐16
(6.8‐13.) / Pag. 9.2‐33
64
64
63.85 64
63.85 64
) + ho x
2
h1 Mf tfcolumna req
Kg x m mm
ANSI/AISC 358‐16 (6.8.) / Pag. 9.2‐34
Si psi > S Use psi S
mm mm mm mmmm mm
Yc2
pulg mm mm mm
tfviga
2
psi = Pfi ‐ ts tfviga
20.2.
ts1 ≤ tfcolumna ts 13.00 mm
Pso Psi
tfcolumna req =
1.11 Mf
Ød Fycolumna Yc
C S
pso = Pfo ‐ ts
Psi1
mm
( S + pso )
Yc2 =
bfcol
x h1 x (
1
2 S
+
1
mm mm mm mm
470.65 403.65 290.65 223.65
S Yc1
mm mm
TIPO
Diametro
pulg mm
g C
mm mm
8ES 7/8" 22.23
h1 h2 h3 h4

22. CON RIGIDIZADOR DE ALA
x
x x
RESUMEN ESPESOR DE ALA COLUMNA REQUERIDO.
RESISTENCIA DE LAS ALAS DE LA COLUMNA
( ‐ )
RESISTENCIA A LA CEDENCIA LOCAL DEL ALMA DE LA COLUMNA
= =
= =
= + x + x = =2 w
mm
0.00
604.00
0.00
0.00
115.00
0.00
RIGIDIZADOR
SIN
DE ALA
tfcolumna req
mm
29.00
30.00
27.00
CON
RIGIDIZADOR
DE ALA
tfcolumna req
mm
24.00
24.00
22.00
Rigidizador ala columna
A
mm
Diferencia
mm
0.00
0.00
0.00
mm
tral
0.00
0.00
0.00
h
59,411.52 21.22
Pfi Pfo Psi1 Pso Psi
mm mm mm
h3 x (
1
)
Psi
+ h4 x (
1
mm mm
50.30 50 50.15 49.85 50
x ( ) +
1 1/4" 31.75
4ES 1 1/4" 31.75
8ES 7/8" 22.23
tfcolumna
mm
30.00
30.00
30.00
22.
TIPO
Diametro
pulg mm
4E
TIPO
Diametro Yc2 Mf tfcolumna req
pulg mm mm Kg x m mm
+
g 4
tfcolumna req =
1.11 Mf
Ød Fycolumna Yc
Pso Psi
g
+ x h1 x (
8ES 7/8" 22.23 5,790.52
(6.8‐13.) / Pag. 9.2‐33
+ pb
2 ANSI/AISC 358‐16
21.2. ANSI/AISC 358‐16 (6.8.) / Pag. 9.2‐35
+ ) + h3 x ( +
pb
)
4
( S
3 x pb
4
+
)
S
Yc2 = x h1
)+ h4 x
2 pb
+S ) + h2 x (
4
bfcol 1 1
3 x pb
+h2 x ( )
2 S Pso
dcolumna
N tfviga
dcolumna
Ct 0.50 So <
Ct = 1.00
Ct 1.00 So ≥
ØdRn1 =
dviga tfviga
ØdMcf ANSI/AISC 358‐16
(6.8‐15.) / Pag. 9.2‐35
= 188,427.45 Kg Ffu = 150,468.21 Kg
ANSI/AISC 358‐16
(6.8‐14.) / Pag. 9.2‐35
ØdMcf = Ød x Fycolumna x Yc1 x tfcolumna
2
= 6,544,085.48 Kg x cm
23.
24.
So 3,700.00 mm
600.00 mmdcolumna
tp2 Dfviga 13.00 mm38.70 mm

23. = + =
= x ( x + + x ) x x x
RESISTENCIA AL PANDEO DEL ALMA DE LA COLUMNA
= ‐ x = = =
=
=
x x x
RESISTENCIA AL APLASTAMIENTO LOCAL DEL ALMA DE LA COLUMNA
Cuando Ffu se aplica a una distancia mayor o igual a dcolumna / 2 desde el extremo de la columna "So"
= = =
x x
18.00
19.00
dcolumna
N
8ES 7/8" 22.23
TIPO
Diametro
pulg mm
4E
25.
ANSI/AISC 358‐16
(6.8‐17.) / Pag. 9.2‐37
h dcolumna Kc2
Ø Ct
1 1/4" 31.75
4ES
Kc rcolumna tfcolumna 57.00 mm
Ct 6 Kc N 2 tp Fycolumna twcolumna ØdØdRn2
1 1/4" 31.75
8ES 7/8" 22.23
tp
mm
45.00
31.00
26.00
ØdRn
Kg
209,682.61
187,722.21
179,879.21
Ct 0.50 So <
dcolumna / 2
ØRn3 = x24 twcolumna
3
h
E x Fycolumna = 100,531.29 Kg
26.
3,700.00 mm486.00 mm So
Ct 1.00 So ≥
Ct = 1.00
TIPO
Diametro
pulg mm
4E 1 1/4" 31.75
4ES 1 1/4" 31.75
26.1.
So ≥ dcolumna / 2
ØRn = Ø x 0.80 x twcolumna
2 x 1 + 3 x (
Fycolumna tfcolumna
twcolumna
N
mm
102.70
74.70
64.70
So 3,700.00 mm dcolumna 600.00 mm Ø 0.75
Ø 0.75
Ffu
Kg
150,468.21
156,094.58
171,066.87
Ffu
Kg
150,468.21
156,094.58
171,066.87
dcolumna / 2
ANSI/AISC 358‐16
(6.8‐19.) / Pag. 9.2‐37
twcolumna req1
mm
18.00
E
ANSI/AISC 358‐16 (6.8‐22.) / Pag. 9.2‐38
) x
twcolumna
tfcolumna
( )
1.5 x

24. Cuando Ffu se aplica a una distancia menor a dcolumna / 2 desde el extremo de la columna "So"
y
x x
y
x x
mm
t3rig
mm
1.00
1.00
A UTILIZAR / RIGIDIZADOR DE ALMA DE COLUMNA
25.00
20.00
21.00
Vudp
Kg
37,956.92
31,591.06
33,968.85
0.12
0.11
Ffu
Kg
150,468.21
156,094.58
171,066.87
TIPO
4E
4ES
1 1/4" 31.75 102.70 87,026.71
Kg
12.00 150,468.21 55,892.48 25.00 204,913.03
18.00 156,094.58 104,134.05 20.00 124,503.52
19.00 171,066.87 110,758.89 22.00 141,545.32
twcolumna req3
Kg mm
64.70 79,367.73
86,244.07
128,906.10
19.00 171,066.87 115,366.80
ØdRn twcolumna req3 ØdRn
twcolumna
)1.5
x
E Fycolumna tfcolumna
tfcolumna twcolumna
N
> 0.20
dcolumna
( ) x (
dcolumna
18.00 156,094.58
21.00 137,098.02
twcolumna req1 Ffu
107,343.53 20.00
ØdRn twcolumna req3 ØdRn
mm Kg Kg mm Kg
twcolumna
)1.5
x
E Fycolumna tfcolumna
tfcolumna twcolumna
12.00 150,468.21 56,255.65 25.00 208,196.89
twcolumna req1 Ffu
twcolumna req2
mm
12.00
14.00
15.00
ØdRn
Kg
112,511.29
140,420.63
155,077.88
‐
twcolumna req1
mm
18.00
18.00
19.00
ØdRn
Kg
226,589.76
214,687.06
230,733.61
Ffu
Kg
150,468.21
156,094.58
171,066.87
174,053.421 1/4" 31.75
4ES 1 1/4" 31.75
8ES 7/8" 22.23
N
mm
102.70
74.70
64.70
166,453.25
163,738.91
TIPO
Diametro ØdRn
Kg
(6.8‐24.) / Pag. 9.2‐38
TIPO
8ES
ANSI/AISC 358‐16 (6.8‐23.) / Pag. 9.2‐38
TIPO
Diametro
31.75 102.70 87,026.71
4ES 1 1/4" 31.75 74.70 83,226.63
26.2.
So < dcolumna / 2
ØRn = Ø x 0.40 x twcolumna
2
x 1 +
1 +
22.23
Diametro N ØdRn
4ES 1 1/4" 31.75 74.70 83,226.63
1 1/4"
x twcolumna
2
x
31.75 102.70
Diametro N ØdRn
pulg mm mm Kg
0.2
pulg mm mm
1 1/4" 31.75 74.70 81,177.30
ANSI/AISC 358‐16
dcolumna / 2
ØRn = Ø x 0.40
22.23 64.70 81,869.45
So <
7/8"
dcolumna
N
≤ 0.20
3 x (
N
) x
pulg mm
4E
8ES 7/8" 22.23
Kg
mm Kg
4E
TIPO
4ES
8ES
N ØdRn
pulg mm mm Kg
8ES
ØdRn4
4 x N
4E
4E 1 1/4"
dcolumna
64.70 81,869.45
N/dcol
0.17
7/8"
t2rig
mm
10.00
10.00
10.00
trig
mmKg
174,053.42
166,453.25
163,738.91
0.00
0.00
14.001.00
twcol req4
mm
12.00
14.00
15.00
twcol req5
mm
19.00
20.00
21.00
twcol req
mm
19.00
20.00
21.00
mm
t1rig
9.86
3.00
3.00
(

25. = x x x x = = ‐ x =
( ‐ ) + = ‐
= ‐
x x x
x x
x x
ESPESOR RIGIDIZADOR DE ALA "ts"
=
=
‐
=
= ( ; ; ; ) = ( ‐ )
= =
x x x x x x x =
= ( ; ; )
trigidizador
mm
0.00
0.9
Dw2 :
1.5 ØFw 1.4142
TIPO
Dw1 Dw2 Dw
mm mm mm
A
mm
540.00
540.00
540.00
L
mm
Fyplancha ts
4E 0 6 6
4ES 0 6 6
8ES 8 6 8
0.00
14.00
Dw1 =
t2rigidizardor =
A L
90
= 9.86 mm
ØdRn3 ØdRn4
ØdRn
Kg
100,531.29
100,531.29
ts1 = W
Fyplancha
x x (
E
)
2
tfcolA
L dviga tstwcolumna req twcolumna
t1rigidizardor =
540.00 mmdcol
347.00
347.00
347.00
ØRn Ø 0.60 Fyplancha tw L Ø
SOLDADURA
MÍNIMA
mm
4E
=
Fuplancha W Ø 2
Fsu
24.00
TIPO
1 1/4" 31.75
4ES
ØdRn2
9.00
11.00
ts max ts3 ts4 ts5
ts2 = A = 12.70 mm ts3 = 13.00 mm
Diametro
pulg
ts2 ) =
ØRn min ØdRn1
= 9.00 mm
2,100,000.00 Kg/cm20.5
1.79
E
W =
bfcol
13.00100,531.29
Fsu Ffu ØRn
Fsu
Kg
49,936.93
55,563.30
70,535.59
ts4 =
Fyplancha W
Ø 0.9
Ø
27.
8ES 7/8" 22.23 30.00 27.00 22.00 12.00
Ffu
Kg
150,468.21
156,094.58
171,066.87
max ( ts1 ;
0.75
U 0.75
ts5
mm
8.00
1 1/4" 31.75
30.00
30.00
8.00
9.00
29.00
30.00
24.00
mm
13.00
13.00
tstfcol
mm
ts4
mm
tfcolumna req1
mm
tfcolumna req2
mm
U
Ø
2
Fsu
ts5
twcol
2
=
12.70 mm
140.00 mm L = dcol ‐ 2 x tfcol = 540.00 mm
2,530.00 Kg/cm2
2,530.00 Kg/cm2Fyplancha
Fyviga
= tfviga x
Fyviga
Fyplancha
=
t3rigidizardor
A
=
0.75 0.60 Fycol dcol
Vudp
=
Vudp Vu ØRn
21

26. SOLDADURA A ALAS
x x
x x
SOLDADURA A ALMA
x x
x
Dw2a alma : SOLDADURA
MÍNIMA
ts
Dw1a alas
mm
Dw2a alas
mm
= 0.9 Fyplancha
mm
TIPO
4E
4ES
540.00
TIPO
Dw1a alma Dw2a alma Dwa alma
mm mm mm
4E
0.00
14.00
Ancho Alto
mm
DIMENSIONES
4ES 7 6 7
8ES 7 6 7
8ES 13.00
Ancho
SOLDADURA
RIGIDIZADOR DE ALMA
Dw
mm
6.00
Cortemin
mm
18.00
18.00
18.00
mm
ALA
7
7
7
ALMA
mm
140.00
140.00
140.00
Largo
mm
540.00
540.00
7
7
7
mm
540.00 347.00
540.00 347.00
540.00 347.00
SOLDADURADIMENSIONES
6.00
8.00
RIGIDIZADOR DE ALAS
t
mm
0.00
ts
mm
13.00
13.00
7
7
7
27.2.
Dw1a alma = 0.6 Fyplancha ts
ØFw 1.4142
4ES
8ES
7
7
7
6
6
6
7 6 7
1.5 ØFw 1.4142
27.1.
Dw1a alas
TIPO
4E
: SOLDADURA
MÍNIMA
Dw2a alas
Dwa alas
mm

27. =
=
=
=
= =
=
Espesor de plancha
58140
256
64
10
RESUMEN UNIÓN "4E"
604
141
58
206
141
58
58
64
360
Viga
Columna
IPE360
HEB600
8
45.00 mm
Calidad plancha ASTM ‐ A 36
Diametro del perno 1 1/4" Soldadura E60XX
Calidad perno A325
Ambas alas
iguales
8

28. =
de Alas 2
0.00
604
Espesor de
plancha
0.00 mm
347
540.00
25 25490
Espesor de plancha
0.00 mm
RESUMEN UNIÓN "4E"
Rigidizador
de Alas 1
115
25
140
Espesor de plancha 13.00 mm
6
Rigidizador de Alma
Borde a alas biselados
HEB600
IPE360
540.00
Rigidizador

29. =
=
=
=
= =
=
=
Diametro del perno 1 1/4"
Calidad plancha ASTM ‐ A 36
Calidad perno
31.00 mm
25 187
RESUMEN UNIÓN "4ES"
266
58 150
58
Espesor de plancha
6
6
Viga IPE360
Columna HEB600
212
122
25
97
A325
604
58
141
64
360206
Ambas alas
iguales
58
25
Soldadura E60XX
11
8
8
141
64
25 187
Espesor de plancha 8.00 mm

30. =
Espesor de
plancha
0.00 mm
Rigidizador
de Alas 2
115.00
0
Rigidizador de Alma
Borde a alas biselados
6
0.00 mm
Espesor de plancha 13.00 mm
25
25 490 25
IPE360
HEB600
540.00
347
540.00
Espesor de plancha
115
140
RESUMEN UNIÓN "4ES"
Rigidizador
de Alas 1

31. =
=
=
=
= =
=
= 10.00 mm
269
25
Espesor de plancha
13
8
8
26.00 mm
220
50 120 50
670
113
50
360
244
155
130
25 25
25 244
Espesor de plancha
Calidad plancha ASTM ‐ A 36
IPE360
Columna HEB600
Calidad perno A325
Diametro del perno 7/8" Soldadura E60XX
113
50
38
67
Ambas alas
iguales
8
8
RESUMEN UNIÓN "8ES"
38
67
67
67
100
Viga

32. =
Rigidizador
de Alas 2
0.00
Espesor de
plancha
0.00 mm
25 490 25
RESUMEN UNIÓN "8ES"
Rigidizador
de Alas
Rigidizador de Alma
Borde a alas biselados
8
IPE360
HEB600
540.00
347
540.00
Espesor de plancha
115
140
14.00 mm
Espesor de plancha 13.00 mm
25
0

33. Peso Total "Kg"
Peso Total "Kg"
Peso Total "Kg"
COMPUTOS PERNOS
RIGIDIZADOR ALA COLUMNA 2 0 7,850.00 0.00
UNIÓN 8ES
COMPUTOS PLANCHAS
DESCRIPCIÓN
VOLUMEN
PESO
PESO
ESPECIFICO
m2 Kg/m3 Kg
RIGIDIZADOR ALA COLUMNA 1 0.0039312 7,850.00 30.86
PLANCHA EXTREMA 0.0038324
RIGIDIZADOR ALA VIGA
PLANCHA EXTREMA
RIGIDIZADOR ALA VIGA 0.00
RIGIDIZADOR ALA COLUMNA 1 0.0039312 7,850.00 30.86
98.00
Peso
Kg/ml
6.22
6.22
3.05
Peso total
Kg
6.46
5.77
4.78
N°
Pernos
8.00
8.00
16.00
0 7,850.00 0.00
7,850.00 30.08
0.0008339 7,850.00 6.55
0.00695808 7,850.00 54.62
0 7,850.00
RIGIDIZADOR ALMA COLUMNA 0.00524664 7,850.00 41.19
108.68
TIPO
4E
4ES
8ES
Diametro
pulg mm
1 1/4" 31.75
1 1/4" 31.75
7/8" 22.23
L1
mm
88.00
74.00
69.00
L2
mm
41.30
41.30
28.60
Ltotal
mm
130.00
116.00
7,850.00 0.00
UNIÓN 4ES
39.10
Kg
RIGIDIZADOR ALA COLUMNA 2
UNIÓN 4E
COMPUTOS PLANCHAS
DESCRIPCIÓN
VOLUMEN
PESO
PESO
ESPECIFICO
m2 Kg/m3 Kg
COMPUTOS PLANCHAS
73.21
RIGIDIZADOR ALA VIGA
PLANCHA EXTREMA
0.000413824 7,850.00 3.25
RIGIDIZADOR ALA COLUMNA 1 0.0039312 7,850.00 30.86
RIGIDIZADOR ALMA COLUMNA 0 7,850.00 0.00
VOLUMEN
DESCRIPCIÓN
Kg/m3
7,850.00
m2
0.004980584
PESO
ESPECIFICO
PESO
RIGIDIZADOR ALMA COLUMNA 0 7,850.00 0.00
85.48
RIGIDIZADOR ALA COLUMNA 2 0