Embed Size (px)
Citation preview
7/26/2019 ACERO Copia
http://slidepdf.com/reader/full/acero-copia 1/15
CALCULO DE ACERO EN COLUMNA
VARILLAS DIAMETROS
1/2" 1.27
5/8" 1.98
3/4" 2.85
1" 5.07
DATOS
f'c = 280 kg/cm²
fy = 4200 kg/cm²
b = 70 cm
h = 70 cm
r = 4 cm
2.54 cm
d = 63.78 cm
d' = 6.22 cm
Es = 2100000 kg/cm²
CUANTIAS
pmin = 0.015 7.5
pmax = 0.06 45
ey = 0.002 kg/cm²
*) Calculando para la Condición Balanceada:
6.22
2 0 . 7 3
35.248
2.028
φ =
φ =
φ =
φ =
=
*) Calculando y : (fy/es)
C b =
7/26/2019 ACERO Copia
http://slidepdf.com/reader/full/acero-copia 2/15
2.028
5.73
0.0025124
!" C#$c%$#&'( )*+ )*, - E*!*
)*, - 5276.01 kg/cm²
C = 13.540
42.588
5.042
42.588
Pn = 18.583 T&
Deformac.
1 0.002512
2 0.000237
3 0.00203
C
Suma =
Pn = 2908.15
*) Calculando para la una profundidad c
C = 4.761
6.22
a) Calculando ε s':
ε*, -
d ! =
" # = d
# =
" $ = d
$ =
" % = d
% =
7/26/2019 ACERO Copia
http://slidepdf.com/reader/full/acero-copia 3/15
2.028
2.028
5.73
0.0026250
!" C#$c%$#&'( )*+ )*, - E*!*
)*, - 5512.52 kg/cm²
C = 251.668
42.588
18.632
18.632
Pn = 256.1 T&
Deformac.
1 0.002625
2 0.000875
3 0.000875
C
Suma =
Pn = 3817.60
*) Para una Car&a 'ial:
Pn = 2.024 T&
Pn = 0.85!c#$g%$&'()$&'!y
a) Calculando ε s':
ε*, -
d ! =
" # = d
# =
" $ = d
$ =
" %
= d %
=
7/26/2019 ACERO Copia
http://slidepdf.com/reader/full/acero-copia 4/15
*) Para momeno puro
*) Calculando para la una profundidad c
C = 7.03
6.22
2 0 . 7
3
2.028
2.028
5.73
0.0006387
!" C#$c%$#&'( )*+ )*, - E*!*
)*, - 1341.32 kg/cm²
C = 3.67
13.601
42.588
42.588
Pn = 31.608 T&
Deformac.
1 0.00063
2 0.010381
3 0.021401
a) Calculando ε s':
ε*, -
d ! =
" # = d
# =
" $ = d
$ =
" % = d
% =
7/26/2019 ACERO Copia
http://slidepdf.com/reader/full/acero-copia 5/15
C
Suma =
Pn = 527.93
C*+
-n
0
%27.98
%230.41
aac %3.48
Pn -n
198.58 %27.98
3817.60 %230.41 +C
299.024 n 0 0
%230.41
7/26/2019 ACERO Copia
http://slidepdf.com/reader/full/acero-copia 6/15
1.27
cm²
cm²
cm² 63.78
cm² 50.7
# - 0 = 180
3 0 c m
6.22 10.14
2.03
10.14
2.03
10.14
5.73
25 cm
ROUESTA
cm² 30.42 cm²
cm²
38.268 a = 32.52
0.003 35.248
2 6 8 c m
6 φ 1/2"
ε*,
7/26/2019 ACERO Copia
http://slidepdf.com/reader/full/acero-copia 7/15
3 8 .
0.0002368
)*,, - 47.26 kg/cm²
1.264
8.78
20.2475
.275
n = 6.264 T&m
Esfuerzos Es. "uerzas Dis
4200.00 1 42.588000000 8.
47.26 1 5.042 20
4200.00 1 42.588 .
1 2903.11 %1.
2908.15
-n = %27.98
cm a = 42.27 cm
c m
0.003
ε*,,
ε*,,,
b) Calculando ε s'': c) Calculando ε s'
ε*,, -
ε*,
7/26/2019 ACERO Copia
http://slidepdf.com/reader/full/acero-copia 8/15
4 . 7
6
0.0008750
)*,, - 1837.51 kg/cm²
6.14
8.78
20.25
.275
n = 13.77 T&m
Esfuerzos Es. "uerzas Dis
4200.00 1 42.588 8.
1837.51 1 18.632 20
1837.51 1 18.632 .
1 3775.01 %6.
3817.60
-n = %230.41
n = 0.000 T&m
ε*,,
ε*,,,
b) Calculando ε s'': c) Calculando ε s'
ε*,, -
7/26/2019 ACERO Copia
http://slidepdf.com/reader/full/acero-copia 9/15
m a = 6.717 cm
0.003
7 .
0 3 c m
0.010380
)*,, - 217.87 kg/cm²
11.641
8.78
20.25
.275
n = 1.174 T&m
Esfuerzos Es. "uerzas Dis
1341.32 1 13.601 8.
4200.00 1 42.588 20
4200.00 1 42.588 .
ε*,
ε*,,
ε*,,,
b) Calculando ε s'': c) Calculando ε s'
ε*,, -
7/26/2019 ACERO Copia
http://slidepdf.com/reader/full/acero-copia 10/15
1 599.50 0.
527.93
-n = %3.48
$
Pn
3817.60 527.93
527.93 %27.98
%230.41 3817.60
%27.98
$
0
%230.41
Pn 0.1!c$g %%%% 0.65
Pn = 0.1!c$g.
! = 0.9%2Pn/#!c
7/26/2019 ACERO Copia
http://slidepdf.com/reader/full/acero-copia 11/15
8 cm
%3.021
2φ 1/2"
2φ 1/2"
2φ 1/2"
7/26/2019 ACERO Copia
http://slidepdf.com/reader/full/acero-copia 12/15
0.0020388
)*,,, - 4281.4 kg/cm²
ncias o (+n,m)
8 3.73
.25 1.021
8 3.50
26 36.62
%27.98
7
'':
ε*,,, -
7/26/2019 ACERO Copia
http://slidepdf.com/reader/full/acero-copia 13/15
0.0008750
)*,,, - 1837.51 kg/cm²
ncias o (+n,m)
8 3.73
.25 3.773
8 1.728
15 232.108
%230.41
'':
ε*,,, -
7/26/2019 ACERO Copia
http://slidepdf.com/reader/full/acero-copia 14/15
0.0214005
)*,,, - 4441.06 kg/cm²
ncias o (+n,m)
8 1.14
.25 8.623
8 3.50
'':
ε*,,, -
7/26/2019 ACERO Copia
http://slidepdf.com/reader/full/acero-copia 15/15
0 0.000
%3.48
31500 31.5
$g( = 0.65
