DISEÑO DE VIGA COMPUESTA ASIGNATURA: DISEÑÓ:
Estructuras Metálicas Avanzadas
Sebastián Estrada Piedrahíta
Datos de entrada Carga muerta, WD(KN/m2)
100
Carga viva, WL(KN/m2)
100
Separacion entre vigas, s(mm)
800
Luz entre apoos(mm)
100
!spesor "e# concreto, $c(mm)
100
%#tura "e# meta#"ec&(mm)
' 0 8
eso "e# meta#"ec&(KN/m2)
00188
* Secci+n compuesta esistencia "e# acero a -uecncia, .(pa)
2'0
esistencia a compresi+n "e# ormig+n, c(pa)
21
eso por uni"a" "e vo#umen, Wc(KN/m3)
2'
4iga "e 5or"e
si
%nco eec6vo, 7e(mm)
00
4iga se#ecciona"a
W1891:2
Propiedades de la viga "(mm)
'181;
%s(mm2)
3 ; 3 8 < 0
5(mm)
2 : 2 1
eso(&g/m)
t=(mm)
238
>9(mm)
1;1081 ';1<
t + (mm)
2:2;
?9(mm3)
<230823
Longitu"(mm)
'000
S9(mm3)
;22<083
@
'
28'<
Comprobación de la sección compuesta !s(pa)
2000 00
$ + (mm)
$/t=
Compacta
100
t= (mm)
1
Cumple
238
Análisis de carga Carga muerta sobreimpuesta %ca5a"os(KN/m)
10
ar6ciones(KN/m)
0
Ductos(KN/m)
12
Luminarias(KN/m)
8
Atros(KN/m)
' (KN/m2)
;0
Peso propio muerto(KN/m2) #osaB meta#"ec&Bviga
1 '
se mu#6p#ica por s para m2
WD $ota#(KN/m)
;1
WL $ota&(KN/m) W servicioWDBWL
;1
1WD
8;
12WDB1;WL
<
Wu "iseoma9(1WDE12WDB1;WL)(KN/m)
8;
ma9
2;8 8;;
4ma9
21'
Análisis de la seección compuesta ENP losa de concreto a
1 2 < 0 ' ' ; 2 1 8
p
2 1 < 3 ; 0 2 8 3
Fp
20'2'2':20'
FpGu
Cumple
==∗∗(/2+/2) ∗)/(0.85∗^′ ∗) ENP en el pan superior de la viga de acero 203 203;2 ;2'3 '3:1 :130 30 p <<222;;0 <<222;;0;8 ;81; 1; Fp ;';3:2;1'<: FpGu
Cumple
==0.85^′ ∗∗∗(/2+)+2Fy∗b∗y∗(/2)+∗∗( ∗∗∗(/2+)+2Fy∗b∗y∗(/2)+∗∗(/2!) /2!) ∗!0.85^′ ∗∗)/(2∗)
0.85^′ ∗∗+∗∗=∗!∗∗
ENP en el alma de la seccion de acero '3:12'< '3:12'<00' 00':3 :3 p 3'<03;11 3'<03;111; 1;31 31 Fp 30380;:8:;; FpGu
Cumple
=="∗(+/2)+"∗(!/2)+"∗((!)/2)+#∗(/2!)
.85∗^′ ∗∗)/(2∗$)!(∗)/$++/2$
!esistencia a Cortante
%/$=2.2&∗'(/)
* ,*=*∗0.-∗*∗*$∗"* 〖 〗 *0<' "*1 *$"Jt
2'0228'318
De"e#ión de la sección compuesta Datos "e entra"a %s(mm2)
3;38<0
Hs
2':08
I%
03;38<0
%c(mm2)
0000
Hc
';81;
I %JH
22820;<1'
n
311<
>s>9
1;1081';1<
>c
33333333
%#tura transorma"a
1 〖
〖 )/(1) ∗ � ∗〗
';'3<
$nercia trans%ormada
*+*∗3*#!* 4^2+*/+*/∗*#!*" 6^2 〖 ′〖 〗 *#=0.75∗*# �
9=:/;-0
<<=5/;8&∗(>*∗:^&)/(*∗*# )
9?<<
1;''<<003'
(mm)
121808'2'2;'
(mm)
1388:
1''2388<108
Cumple
Comprobación de la viga en la etapa de construcción Carga viva "istri5u"a (KN/m2)
100
Carga viva #inea# "urante #a construcci+n(KN/m2Jm)
080
Carga muerta "e5i"o a# peso propio (KN/m)
;1;
@.2>*A @.->*:+@.&>*A
<3<' 8<32
* BCD=(>*A+>*: )BCD
;22;
CD=9E( 〖 @.2> 〗 *A+ 〖 @.- 〗 *>: 〖 @.&> 〗 *A )8<32
!esistencia al dise&o durante la construcción 'omento
=0.G∗*∗H*E =〖
138'23:8<'8
〗 � 〖 ^2/8
2<28;'800 FpGu Compro5ar
Cumple
Cortante
,=0.75∗0.-∗*∗*$
1211;'12
,*=(>* :)/2
2182:2; F4nG4u Compro5ar
De"e#ión
=5/;8&∗(>* :^&)/(* *E )
Cump#e 1'<3 1388:
9=:/;-0 Compro5ar
Cumple
Conector a cortante
Conector a cortante po espigo !esistencia nominal de un conector a cortante 〖 0.5 〗 *K" '(^′ ∗)JL*M∗L*∗*
N∗O *
〖 05 〗 _ ( OP ∗ )
〖 _ _ ∗ _ ∗ _ 〖∗〗∗
2888218;8:< 1;';;::2'0:1<
n 2*+**+,2-*.*0
%sc%rea secci+n transeversa# "e# conector(mm2) .uesistencia mM9ima "e# conector(a)
#a maor "e #as 2
!g
1rientacion de la lámima perpendicular
1
1 2
r3Anc4o promedio del valle
r(mm)
-52 Wr(mm)
4r3Altura del tablero
!p
4r(mm)
1rientacion Perpendicular
05
0<'
Conector lado %uerte6 !p78,05
,%=I∗∗PQ
<80<0311
4Cortante nomina# "e transerencia nNQmero "e conectores en #a viga NNQmero "e R#as "e conectores por va##e
,?9C("9ER#9E) Conectores a cortante Datos de entrada %sc(mm2) Arientaci+ "e #a #Mmina
:08<38'2123 Arientacion erpen"icu#ar
DiMmetro "e# conector,"c(mm)
2'
esistencia mM9ima a #a tensi+n "e# conector,.u(pa)
'0
NNQmero "e R#as "e conectores por va##e
1
nNQmero "e conectores en #a viga
1<
osici+n "e# conector en e# va##e
Arientacion erpen"icu#ar
Distancia(mm) %nco(mm)
10
%#tura(mm)
300
esistencia mM9ima "e# conector(pa)
'0
Datos calculados Wr/r
202<
%sc
:08<
g
1000
p
0<'0
Tn
288821:
4
<80<0311
Conectores a insta#ar
Comprobación
1<
Wr(mm)
R
1aKN/mm2
Para el metaldec9
2:
;:
e6 4(mm)
46teórico(mm)
100
<2
110
82
120
:2
130
102
10
112
1'0
122
130
:1
10
101
1'0
111
e6 4(mm) losa metaldec9
100
46teórico(mm) Peso(KN/m2) <2
1 001'0
viga
Cc
30;:1;
Cp
;2;:323
Ca
;03108;1
F
0<'
Cv %=
1 2222'3;1;
=@&000∗'(^′ ) !c(pa)
;1';0':<3
S+#o un conector en e# va##e, g1 Dos conectores en e# va##e, g08'
1 08'
Arientacion "e #a #Mmima perpen"icu#ar Arientacion "e #a #Mmima para#e#a Si Wr/r G 1' , g1 1'2
r(mm)
'0 Si Wr/r V 1' , g08
1'8
r(mm)
<'
0<' p 0;
Conector #a"o uerte, p0<' Arientacion erpen"icu#ar Arientaci+n para#e#a
Conector en e# #a"o "U5i#, p0;
Shae
A !""#
%$d !""%
t& !""%
b' !""%
t' !""%
()*"
b'*+$,t'-
W24X131
248.3866
622.3
15.367
327.66
24.384
194.95
6.70
W24X117
221.93504
617.22
13.97
325.12
21.59
174.12
7.53
W24X104
197.41896
612.14
12.7
325.12
19.05
154.77
8.50
W24X103
195.48348
622.3
13.97
228.6
24.892
153.28
4.59
W24X94
178.70932
617.22
13.081
230.378
22.225
139.89
5.18
W24X84
159.35452
612.14
11.938
229.108
19.558
125.01
5.86
W24X76
144.51584
607.06
11.176
228.346
17.272
113.10
6.61
W24X68
129.67716
601.98
10.541
227.838
14.859
101.20
7.66
W24X62
117.41912
601.98
10.922
178.816
14.986
92.27
5.97
W24X55
104.51592
599.44
10.033
178.054
12.827
81.85
6.94
W21X201
381.93472
584.2
23.114
320.04
41.402
299.12
3.86
W21X182
345.80576
576.58
21.082
317.5
37.592
270.85
4.22
W21X166
314.83808
571.5
19.05
314.96
34.544
247.04
4.57
W21X147
278.70912
561.34
18.288
317.5
29.21
218.76
5.44
W21X132
250.32208
553.72
16.51
314.96
26.416
196.44
6.01
W21X122
231.61244
551.18
15.24
314.96
24.384
181.56
6.45
W21X111
210.96732
546.1
13.97
312.42
22.225
165.19
7.05
W21X101
192.25768
543.56
12.7
312.42
20.32
150.30
7.68
W21X93
176.12868
548.64
14.732
213.868
23.622
138.40
4.53
W21X83
156.77388
543.56
13.081
212.344
21.209
123.52
5.00
W21X73
138.7094
538.48
11.557
210.82
18.796
108.64
5.60
W21X68
129.032
535.94
10.922
210.058
17.399
101.20
6.04
W21X62
118.06428
533.4
10.16
209.296
15.621
92.27
6.70
W21X55
104.51592
528.32
9.525
208.788
13.2588
81.85
7.87
W21X48
90.96756
523.24
8.89
206.756
10.922
71.43
9.47
W21X57
107.74172
535.94
10.287
166.624
16.51
84.83
5.04
W21X50
94.83852
528.32
9.652
165.862
13.589
74.41
6.10
W21X44
83.8708
525.78
8.89
165.1
11.43
65.48
7.22
W18311
590.96656
566.42
38.608
304.8
69.596
462.82
2.19
W18283
537.41828
556.26
35.56
302.26
63.5
421.15
2.38
W18258
489.67644
546.1
32.512
299.72
58.42
383.95
2.56
W18234
443.87008
535.94
29.464
297.18
53.594
348.23
2.76
W18211
400.64436
525.78
26.924
294.64
48.514
314.00
3.02
W18192
363.87024
518.16
24.384
292.1
44.45
285.73
3.27
W18X175
330.96708
508
22.606
289.56
40.386
260.43
3.58
W18X158
298.70908
500.38
20.574
287.02
36.576
235.13
3.92
W18X143
271.61236
495.3
18.542
284.48
33.528
212.81
4.25
W18X130
246.45112
490.22
17.018
284.48
30.48
193.46
4.65
W18X119
226.45116
482.6
16.637
287.02
26.924
177.09
5.31
W18X106
200.64476
474.98
14.986
284.48
23.876
157.75
5.96
W18X97
183.8706
472.44
13.589
281.94
22.098
144.35
6.41
W18X86
163.22548
467.36
12.192
281.94
19.558
127.98
7.20
W18X76
143.87068
462.28
10.795
279.4
17.272
113.10
8.11
W18X71
134.19328
469.9
12.573
194.056
20.574
105.66
4.71
W18X65
123.22556
467.36
11.43
192.786
19.05
96.73
5.06
W18X60
113.54816
462.28
10.541
192.024
17.653
89.29
5.44
W18X55
104.51592
459.74
9.906
191.262
16.002
81.85
5.98
W18X50
94.83852
457.2
9.017
190.5
14.478
74.41
6.57
W18X46
87.0966
459.74
9.144
153.924
15.367
68.46
5.01
W18X40
76.12888
454.66
8.001
152.908
13.335
59.53
5.73
W18X35
66.45148
449.58
7.62
152.4
10.795
52.09
7.06
W16X100
190.3222
431.8
14.859
264.16
25.019
148.82
5.29
W16X89
169.03192
426.72
13.335
264.16
22.225
132.45
5.92
W16X77
145.80616
419.1
11.557
261.62
19.304
114.59
6.77
W16X67
127.09652
414.02
10.033
259.08
16.891
99.71
7.70
W16X57
108.38688
416.56
10.922
180.848
18.161
84.83
4.98
W16X50
94.83852
414.02
9.652
179.578
16.002
74.41
5.61
W16X45
85.80628
408.94
8.763
178.816
14.351
66.97
6.23
W16X40
76.12888
406.4
7.747
177.8
12.827
59.53
6.93
W16X36
68.38696
403.86
7.493
177.546
10.922
53.57
8.12
W16X31
58.903108
403.86
6.985
140.462
11.176
46.13
6.28
W16X26
49.548288
398.78
6.35
139.7
8.763
38.69
7.97
W14X730
1387.094
568.96
77.978
454.66
124.714
1086.36
1.82
W14X665
1264.5136
548.64
71.882
449.58
114.808
989.63
1.95
W14X605
1148.3848
530.86
66.04
441.96
105.664
900.34
2.09
W14X550
1045.1592
513.08
60.452
436.88
97.028
818.49
2.25
W14X500
948.3852
497.84
55.626
431.8
88.9
744.08
2.43
W14X455
864.5144
482.6
51.308
426.72
81.534
677.11
2.62
W14X426
806.45
474.98
47.752
424.18
77.216
633.96
2.75
W14X398
754.8372
464.82
44.958
421.64
72.39
592.29
2.92
W14X370
703.2244
454.66
42.164
419.1
67.564
550.62
3.10
W14X342
651.6116
444.5
39.116
416.56
62.738
508.95
3.31
W14X311
589.67624
434.34
35.814
411.48
57.404
462.82
3.59
W14X283
537.41828
424.18
32.766
408.94
52.578
421.15
3.89
W14X257
487.74096
416.56
29.972
406.4
48.006
382.46
4.23
W14X233
441.9346
406.4
27.178
403.86
43.688
346.74
4.62
W14X211
399.9992
398.78
24.892
401.32
39.624
314.00
5.06
W14X193
366.45088
393.7
22.606
398.78
36.576
287.22
5.45
W14X176
334.19288
386.08
21.082
398.78
33.274
261.92
5.97
W14X159
301.28972
381
18.923
396.24
30.226
236.62
6.54
W14X145
275.48332
375.92
17.272
393.7
27.686
215.78
7.11
W14X132
250.32208
373.38
16.383
373.38
26.162
196.44
7.15
W14X120
227.74148
368.3
14.986
373.38
23.876
178.58
7.80
W14X109
206.4512
363.22
13.335
370.84
21.844
162.21
8.49
W14X99
187.74156
360.68
12.319
370.84
19.812
147.33
9.34
W14X90
170.9674
355.6
11.176
368.3
18.034
133.93
10.2
W14X82
154.8384
363.22
12.954
256.54
21.717
122.03
5.92
W14X74
140.64488
360.68
11.43
256.54
19.939
110.12
6.41
W14X68
129.032
355.6
10.541
254
18.288
101.20
6.97
W14X61
115.48364
353.06
9.525
254
16.383
90.78
7.75
W14X53
100.64496
353.06
9.398
204.724
16.764
78.87
6.11
W14X48
90.96756
350.52
8.636
203.962
15.113
71.43
6.75
W14X43
81.29016
347.98
7.747
203.2
13.462
63.99
7.54
W14X38
72.25792
358.14
7.874
171.958
13.081
56.55
6.57
W14X34
64.516
355.6
7.239
171.45
11.557
50.60
7.41
W14X30
57.09666
350.52
6.858
170.942
9.779
44.64
8.74
W14X26
49.612804
353.06
6.477
127.762
10.668
38.69
5.98
W14X22
41.870884
347.98
5.842
127
8.509
32.74
7.46
W12X336
637.41808
426.72
45.212
340.36
75.184
500.02
2.26
W12X305
578.06336
414.02
41.402
335.28
68.834
453.89
2.45
W12X279
528.38604
403.86
38.862
332.74
62.738
415.20
2.66
W12X252
477.4184
391.16
35.56
330.2
57.15
375.02
2.89
W12X230
436.77332
383.54
32.766
327.66
52.578
342.28
3.11
W12X210
398.70888
373.38
29.972
325.12
48.26
312.51
3.37
W12X190
359.99928
365.76
26.924
322.58
44.196
282.75
3.65
W12X170
322.58
355.6
24.384
320.04
39.624
252.99
4.03
W12X152
288.38652
347.98
22.098
317.5
35.56
226.20
4.46
W12X136
257.41884
340.36
20.066
314.96
31.75
202.39
4.96
W12X120
227.74148
332.74
18.034
312.42
28.194
178.58
5.57
W12X106
201.28992
327.66
15.494
309.88
25.146
157.75
6.17
W12X96
181.93512
322.58
13.97
309.88
22.86
142.86
6.76
W12X87
165.16096
317.5
13.081
307.34
20.574
129.47
7.48
W12X79
149.67712
314.96
11.938
307.34
18.669
117.56
8.22
W12X72
136.12876
312.42
10.922
304.8
17.018
107.15
8.99
W12X65
123.22556
307.34
9.906
304.8
15.367
96.73
9.92
W12X58
109.6772
309.88
9.144
254
16.256
86.31
7.82
W12X53
100.64496
307.34
8.763
254
14.605
78.87
8.69
W12X50
94.19336
309.88
9.398
205.232
16.256
74.41
6.31
W12X45
84.51596
307.34
8.509
204.47
14.605
66.97
7.00
W12X40
75.48372
302.26
7.493
203.454
13.081
59.53
7.77
W12X35
66.45148
317.5
7.62
166.624
13.208
52.09
6.31
W12X30
56.709564
312.42
6.604
165.608
11.176
44.64
7.41
W12X26
49.35474
309.88
5.842
164.846
9.652
38.69
8.54
W12X22
41.806368
312.42
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14
