Download - DISE+æO DE VIGAS
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DISEÑO DE VIGAS PRINCIPALES (DAMERO 2)
TRAMO 5-6
b = 35 cm
h = 55 cm
f'c = 250
9247.85 km-m fy = 4200
MU= 92.48 km-cm rec = 4 cm
Estimando d!-6 (As "n #na $i%a)
d= 49 cm
Ca%%o d" %a ant'a
w= 0.85 - 0.7225 -1.7*MU
w = 0.85 -Ø f'c b d2
w = 0.0005
w= Pfy
0.0005 = P250
P = 0.0084f'c 4200
As=P*b*d As = 14.41 cm2
CANTA MNIMA * M+,IMA
0.7 = 0.7250
f'c
4200
0.75 = 0.75 0.85 !f'c
*"000
fy "000 # fy
Acero mínimo y máximo
Asm$%=Pm$%*b*d Asm$% = 4.459 cm2 &$ cm()e ) f)) dc+$
Asm,=Pm,*b*d Asm$% = 32.585 cm2 cm()e f)) dc+$)
cosideramos el As mín = 4.459 cm2
+"a d" a&"os+
km/cm2
km/cm2
Pm$% = Pm$%
Pm, = Pb
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1 5.07
r$))s= As=
4.459 3/4 2.85
As e)e$d 1.98 5/8 1.98
1/2 1.29
r$))s= 2.3 3/8 0.71
&e c)cr% 3 Ø 1/2 $me+r de cers
0 Diam"to(&mV"i$i&ando "% $i"o 1 2.54
3/4 1.91
e= 2* 4 # 0.95 * 2 # 3 * 1.29 # 2 * 1.98 5/8 1.59
1/2 1.27
e= 17.73 3/8 0.95
V"i$i&ando "% 1"a%t" "$"&ti/o
d= h - rec - Ø es+r$b. - Ø/2
d= 49.4
a%%ando "% mom"nto "sist"nt"
6M%=6*b*d2*w*f'c*1-0.59*w 0.9 35 2440.3" 0.0084 250 1 - 0.
6M%=6*A&*fy*d*1-0.59*fy/fc*As/b*d 6M% = 811353."58
6M% > M
DISEÑO DE VIGAS PRINCIPALES (DAMERO 2)
TRAMO 6-3
b = 35 cm
h = 55 cm
f'c = 250
1108".14 km-m fy = 4200
MU= 110.8" km-cm rec = 4 cm
Estimando d!-6 (As "n #na $i%a)
km/cm2
km/cm2
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Ca%%o d" %a ant'a
w= 0.85 - 0.7225 -1.7*MU
w = 0.85 -Ø f'c b d2
w = 0.0005
w= Pfy
0.0005 = P250
P = 0.0084f'c 4200
As=P*b*d As = 14.41 cm2
CANTA MNIMA * M+,IMA
0.7 = 0.7250
f'c4200
0.75 = 0.75 0.85 !f'c
*"000
fy "000 # fy
Acero mínimo y máximo
Asm$%=Pm$%*b*d Asm$% = 4.459 cm2 &$ cm()e ) f)) dc+$
Asm,=Pm,*b*d Asm$% = 32.585 cm2 cm()e f)) dc+$)
cosideramos el As mín = 4.459 cm2
+"a d" a&"os
N.m"o d" /ai%%as 0 +"a (&m2)1 5.07
r$))s= As=
4.459 3/4 2.85
As e)e$d 1.98 5/8 1.98
1/2 1.29
r$))s= 2.3 3/8 0.71
&e c)cr% 3 Ø 1/2 $me+r de cers
0 Diam"to(&mV"i$i&ando "% $i"o 1 2.54
3/4 1.91
e= 2* 4 # 0.95 * 2 # 3 * 1.29 # 2 * 1.98 5/8 1.59
1/2 1.27
e= 17.73 3/8 0.95
V"i$i&ando "% 1"a%t" "$"&ti/o
d= h - rec - Ø es+r$b. - Ø/2
Pm$% = Pm$%
Pm, = Pb
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d= 49.4
a%%ando "% mom"nto "sist"nt"
6M%=6*b*d2*w*f'c*1-0.59*w 0.9 35 2440.3" 0.0084 250 1 - 0.
6M%=6*A&*fy*d*1-0.59*fy/fc*As/b*d 6M% = 811353."58
6M% > M
DISEÑO DE VIGAS PRINCIPALES (DAMERO 2)
TRAMO 3-4
b = 35 cm
h = 55 cm
f'c = 250
3241."5 km-m fy = 4200
MU= 32.42 km-cm rec = 4 cm
Estimando d!-6 (As "n #na $i%a)
3d= 49 cm
Ca%%o d" %a ant'a
w= 0.85 - 0.7225 -1.7*MU
w = 0.85 -Ø f'c b d2
w = 0.0005
w= Pfy
0.0005 = P250
P = 0.0084f'c 4200
km/cm2
km/cm2
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As=P*b*d As = 14.41 cm2
CANTA MNIMA * M+,IMA
0.7 = 0.7250
f'c
4200
0.75 = 0.75 0.85 !f'c
*"000
fy "000 # fy
Acero mínimo y máximo
Asm$%=Pm$%*b*d Asm$% = 4.459 cm2 &$ cm()e ) f)) dc+$
Asm,=Pm,*b*d Asm$% = 32.585 cm2 cm()e f)) dc+$)
cosideramos el As mín = 4.459 cm2
+"a d" a&"os
N.m"o d" /ai%%as 0 +"a (&m2)1 5.07
r$))s= As=
4.459 3/4 2.85
As e)e$d 1.98 5/8 1.98
1/2 1.29
r$))s= 2.3 3/8 0.71
&e c)cr% 3 Ø 1/2 $me+r de cers
0 Diam"to(&mV"i$i&ando "% $i"o 1 2.54
3/4 1.91
e= 2* 4 # 0.95 * 2 # 3 * 1.29 # 2 * 1.98 5/8 1.59
1/2 1.27
e= 17.73 3/8 0.95
V"i$i&ando "% 1"a%t" "$"&ti/o
d= h - rec - Ø es+r$b. - Ø/2
d= 49.4
a%%ando "% mom"nto "sist"nt"
6M%=6*b*d2*w*f'c*1-0.59*w 0.9 35 2440.3" 0.0084 250 1 - 0.
6M%=6*A&*fy*d*1-0.59*fy/fc*As/b*d 6M% = 811353."58
Pm$% = Pm$%
Pm, = Pb
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6M% > M
DISEÑO DE VIGAS PRINCIPALES (DAMERO 2)
TRAMO -7
b = 35 cm
h = 55 cm
f'c = 2509099.9" km-m fy = 4200
MU= 91.00 km-cm rec = 4 cm
Estimando d!-6 (As "n #na $i%a)
d= 49 cm
Ca%%o d" %a ant'a
w= 0.85 - 0.7225 -1.7*MU
w = 0.85 -
Ø f'c b d2
w = 0.0005
w= Pfy
0.0005 = P250
P = 0.0084f'c 4200
As=P*b*d As = 14.41 cm2
CANTA MNIMA * M+,IMA
0.7 = 0.7250
f'c
4200
0.75 = 0.75 0.85 !f'c
*"000
fy "000 # fy
Acero mínimo y máximo
Asm$%=Pm$%*b*d Asm$% = 4.459 cm2 &$ cm()e ) f)) dc+$
Asm,=Pm,*b*d Asm$% = 32 585 cm2 cm()e f)) dc+$)
km/cm2km/cm2
Pm$% = Pm$%
Pm, = Pb
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cosideramos el As mín = 4.459 cm2
+"a d" a&"os
N.m"o d" /ai%%as 0 +"a (&m2)1 5.07
r$))s= As
=
4.459 3/4 2.85
As e)e$d 1.98 5/8 1.981/2 1.29
r$))s= 2.3 3/8 0.71
&e c)cr% 3 Ø 1/2 $me+r de cers
0 Diam"to(&mV"i$i&ando "% $i"o 1 2.54
3/4 1.91
e= 2* 4 # 0.95 * 2 # 3 * 1.29 # 2 * 1.98 5/8 1.59
1/2 1.27
e= 17.73 3/8 0.95
V"i$i&ando "% 1"a%t" "$"&ti/o
d= h - rec - Ø es+r$b. - Ø/2
d= 49.4
a%%ando "% mom"nto "sist"nt"
6M%=6*b*d2*w*f'c*1-0.59*w 0.9 35 2440.3" 0.0084 250 1 - 0.
6M%=6*A&*fy*d*1-0.59*fy/fc*As/b*d 6M% = 811353."58
6M% > M
DISEÑO DE VIGAS PRINCIPALES (DAMERO 2)
TRAMO 7-
b = 35 cm
h = 55 cm
f'c = 250 km/cm2
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55
35
0.7225 -1.7 *
0.9 250
= 0.002"
= 0.019
)
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9 0.0084 = 1
55
35
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0.7225 -1.7 *
0.9 250
= 0.002"
= 0.019
)
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9 0.0084 = 1
55 cm
cm
0.7225 -1.7 *
0.9 250
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= 0.002"
= 0.019
)
9 0.0084 = 1
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55
35
0.7225 -1.7 *
0.9 250
= 0.002"
= 0.019
)
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9 0.0084 = 1
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DISEÑO DE VIGAS DE PORTICO SECNDARIO
$ser ) $ de ) f$r f'c= 210 :/cm2 f'y = 4200 :/cm2.
0.2
0.25
3.80 M 25
DISEÑO POR 8LE,ION
MU= 3.04 MU= 3.37
MU= 1.71
+"a d" a&"os
M# (tn9&m)0 +"a (&m2)1 5.07
3.044 25 19.91 4.53 4.2" 3/4 2.851.7115 25 19.91 2.41 2.27 5/8 1.98
3.37 25 19.91 5.09 4.79 1/2 1.27
3/8 0.71
3 6 5/8 3 6 5/8 3 6 5/8
26 1/2 26 1/2 46 1/2
16 5/8
As = 2.54 cm2 As = 2.54 cm2 As = 5.08 cm2
1.98
4.52
0.7 = 0.7210
= 0.0024f'c
4200
f'c "000
:(&m;)
d(&m;)
As(&m2)
a(&m)
Pm$% = Pm$%
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. . .fy "000 # fy
.
0.85 !f'c "000
= 0.85 0.85210 "000
= 0.02125fy "000 # fy 4200 "000 # 4200
As =
4.53 = 0.007
&$ cm()e c% ) c%+$ m;%$m y m,$m
bd "25
As =
2.41 = 0.004
&$ cm()e c% ) c%+$ m;%$m y m,$m
bd "25
As =
5.09 = 0.008
&$ cm()e c% ) c%+$ m;%$m y m,$m
bd "25
(r ) secc$% med$ se d$se c% ) c%+$ m$%$m
MU= 3.78 MU= 4.30
MU= 2.10
+"a d" a&"os
M# (tn9&m)0 +"a (&m2)1 5.07
3.783 25 19.91 5.83 5.49 3/4 2.85
2.095 25 19.91 3.00 2.82 5/8 1.98
4.30 25 19.91 ".81 ".41 1/2 1.27
3/8 0.71
3 6 5/8 3 6 5/8 3 6 5/8
26 1/2 16 1/2
36 5/8 26 3/4
As = 5.94 cm2 As = 2.54 cm2 As = 5.70 cm2
1.27
".97
0.7 = 0.7210
= 0.0024f'c
4200
0.75 = 0.75 0.85 !f'c "000
= 0.0159fy "000 # fy
f'c "000 =
210 "000 =
Pb =
P1 =
P2 =
P3 =
:(&m;)
d(&m;)
As(&m2)
a(&m)
Pm$% = Pm$%
Pm, = Pb
=
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.fy "000 # fy
. .4200 "000 # 4200
.
As =
5.83 = 0.009
&$ cm()e c% ) c%+$ m;%$m y m,$m
bd "25
As =
3.00 = 0.005
&$ cm()e c% ) c%+$ m;%$m y m,$m
bd "25
As =
".81 = 0.011
&$ cm()e c% ) c%+$ m;%$m y m,$m
bd "25
MU= 4.87 MU= 4.33
MU= 2.5"
+"a d" a&"os
M# (tn9&m)0 +"a (&m2)1 5.07
4.8"9 25 19.91 7.97 7.50 3/4 2.85
2.5"3 25 19.91 3.74 3.52 5/8 1.98
4.33 25 19.91 ".8" ".4" 1/2 1.27
3/8 0.71
3 6 5/8 3 6 5/8 3 6 5/8
26 5/8
46 5/8 26 1/2 26 5/8
As = 7.92 cm2 As = 3.81 cm2 As = 3.9" cm2
2.54
".50
0.7 = 0.7210
= 0.0024f'c
4200
0.75 = 0.75 0.85 !f'c "000
= 0.0159fy "000 # fy
0.85 !f'c "000
= 0.85 0.85210 "000
= 0.02125fy "000 # fy 4200 "000 # 4200
As =
7.97 = 0.013
&$ cm()e c% ) c%+$ m;%$m y m,$m
bd "25
P1 =
P2 =
P3 =
:(&m;)
d(&m;)
As(&m2)
a(&m)
Pm$% = Pm$%
Pm, = Pb
Pb =
P1 =
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As =
3.74 = 0.00"
&$ cm()e c% ) c%+$ m;%$m y m,$m
bd "25
As =
".8" = 0.011
&$ cm()e c% ) c%+$ m;%$m y m,$m
bd "25
DISEÑO DE VIGAS DE LA A
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+$)$?ms ) c%+$ m$%$m 2.7cm2
MU= 2.01 MU= 1.9"
MU= 1.24
+"a d" a&"os
M# (tn9&m)0 +"a (&m2)1 5.07
2.008 25 19.91 2.8" 2."9 3/4 2.85
1.23" 25 19.91 1.71 1."1 5/8 1.98
1.9" 25 19.91 2.78 2."2 1/2 1.27
3/8 0.71
3 6 5/8 3 6 5/8 3 6 5/8
26 1/2
36 1/2 26 1/2
As = 3.81 cm2 As = 3.81 cm2 As = 3.81 cm2
0.7 = 0.7210
= 0.0024f'c
4200
0.75 = 0.75 0.85 !f'c "000
= 0.0159fy "000 # fy
0.85 !f'c "000
= 0.85 0.85210 "000
= 0.02125fy "000 # fy 4200 "000 # 4200
As =
2.8" = 0.005
&$ cm()e c% ) c%+$ m;%$m y m,$m
bd "25
As =
1.71 = 0.003
< cm()e c% ) c%+$ m;%$m
bd "25
As =
2.78 = 0.004
&$ cm()e c% ) c%+$ m;%$m y m,$m
bd "25
+$)$?ms ) c%+$ m$%$m 2.7cm2
:(&m;)
d(&m;)
As(&m2)
a(&m)
Pm$% = Pm$%
Pm, = Pb
Pb =
P1 =
P2 =
P3 =
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D"t"mina&i=n d"% >"a d" a&"o
As=M
Ø fy d- /2
= d/5
0.85 !f'c
fy
DISEÑO DE VIGAS PRINCIPALES (DAMERO 2)
Estimando d!-6 (As "n #na $i%a)
d= 49
Ca%%o d" %a ant'a
w= 0.85 -
w= Pfy
f'c
Pb =
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As=P*b*d
CANTA MNIMA * M+,IMA
0.7
0.75
Acero mínimo y máximo
Asm$%=Pm$%*b*d
Asm,=Pm,*b*d
cosideramos el As mín
N.m"o d" /ai%%as
r$))s = A
As e)e$d
r$))s = 3.
&e c)cr%
V"i$i&ando "% $i"o
e= 2* 4 # 0.95 *
e= 17."4
V"i$i&ando "% 1"a%t" "$"&ti/o
d= h - rec - Ø
d= 49.4
a%%ando "% mom"nto "sist"nt"
6M%=6*b*d2*w*f'c*1-0.59*
* * * *
Pm$% =
Pm, =
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As = 2449020 cm2
= 0.7f'c
42
= 0.75
Asm$% =
Asm$% =
= 4.459 cm2
s=
4.459
1.29
.5
3.5 Ø 1/2
2 # 3.5 * 1.29 # 2.5
es+r$b. - Ø/2
0.9 35
* * *
Pb
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.
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0.85250
"000
4200 "000 #
b = 35 cm
h = 55 cm
f'c = 250
fy = 4200
rec = 4 cm
w = 0.
w =
P = 1428
km/cm2
km/cm2
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250
00
0.85 !f'c
*"000
fy "000
4.459 cm2 &$ cm()e ) f)) dc+$)
32.585 cm2 cm()e f)) dc+$)
+"a d" a&"os
01
3/4
5/8
1/2
3/8
$me+r
01
3/4
* 1.29 5/8
1/2
3/8
2440.3" 1428 250 1
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.
6M% > M
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= 0.02534200
55
35
5 - 0.7225 -1.
0.
85
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= 0.002"
= 0.019 # fy
+"a (&m2)5.07
2.85
1.98
1.29
0.71
de cers
iam"to(&m)2.54
1.91
1.59
1.27
0.95
- 0.59 1428
Pm$%
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.7 * 92.48
.9 250 35 2401
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= -23093890903137."0
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