COLUMNAS (2) enviarrrrrrrrrrrrrrrrrrr

8/17/2019 COLUMNAS (2) enviarrrrrrrrrrrrrrrrrrr

1/24

f´c 21 MPa DIMENSIONES

fy 420 MPa As (10N6) 2840 mm2

b1 300 mm

ec 0.003 b2 450 mm

es 0.0021 recbr!m!e"#$ 6 cm

%!s#a"c!a e"#re &ar!''as cm

AS I*A 1 852 mm2AS I*A 2 568 mm2

AS I*A 3 568 mm2

AS I*A 4 852 mm2

P$ 3552 +N

P"c 2664 +N

P"# 113 +N

DEO,

" -" (cm) es1 es21 P$

2 (P"c) 3 0.00254 0.0016

3 30 0.00240 0.00130

4 (ba'a"cea%a) 22. 0.00222 0.0008

5 #ra"s!c!$" 1.0 0.00205 0.00032

6 #racc!$" 14.6 0.001 0.0004

11.4 0.00142 0.00146

8 0.00043 0.0042

5 0.00060 0.0020

10 3 0.00300 0.0140011 1 0.01500 0.04800

12 0.1 0.100 0.5000

13 0.000001

14 0.000001

15 0.0000001

-ar# /!#'e


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3/24

A-/O,ES

*O P*AS/I 0.8

*O P*AS/I 0.5

MAIMA -ON 0.85

MA-IONES NI/A,IAS ESE,OS

es3 es4 fs1 fs2 fs3

0.00085 0.00000 420 338 16

0.00020 0.0000 420 260 40

0.00066 0.00210 420 155 132

0.00142 0.00316 411 63 284

0.0025 0.00500 354 8 420

0.00435 0.0024 284.88326 22.8301 420

0.0000 0.0131 86 420 420

0.01380 0.02040 120 420 420

0.02500 0.03600 420 420 4200.08100 0.11400 420 420 420

0.8300 1.1600 420 420 420

83.00 116.00 420 420 420

83.00 116.00 420 420 420

83.00 116.00 420 420 420

0.14625


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5/24

E,AS

fs4 a c s1 s2 s3

0 33.15 15.2 35.8 12.2 6.1

180 25.50 1365.5 35.8 14. 22.

420 1.50 1044.2 35.8 88.3 5.2

420 16.15 864.8 34.8 35. 161.4

420 12.43 665.5 301.4 55.5 238.6

420 .1 520.0 242. 166.3 238.6

420 5.5 318.6 3.0 238.6 238.6

420 4.25 22.6 102.2 238.6 238.6

420 2.55 136.6 35.8 238.6 238.6420 0.85 45.5 35.8 238.6 238.6

420 0.0 4.6 35.8 238.6 238.6

420 0.00 0.0 35.8 238.6 238.6

420 0.00 0.0 35.8 238.6 238.6

420 0.00 0.0 35.8 238.6 238.6


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7/24

DIA7,AMA DE IN/E,A--ION !!

fs4 P" M" P" M"3552 0 230 0

0.0 2421 10 154 110

153.4 140 224 1131 146

35.8 105 260 68 16

35.8 31 252 546 188

35.8 315 22 283 205

35.8 0 15 0 15

35.8 443 133 3 120

35.8 10 8 63 80

35.8 1056 2 51 2635.8 114 10 1033

35.8 1188 1 106 1

35.8 113 0 104 0

35.8 113 0 104 0

35.8 113 0 104 0

9 y 9 y 9 y0 105 0 0 0 0

260 105 260 105 22 315


8/24


9/24

PA,A :;6 PA,A 6:-:1 PA,A 1:-:PA,A 28 :-:3

0 0 0 16.50323558

0 0 0 224.35485

0 0 260.21335 251.4681056

0 0 252.3526 234.60133882

0 22.226005 233.32802 20.081022266

0 14.81862 213.114825 186.83225048

0 133.30435 15.5455 133.30435410

88.544531 122.284153 148.52553 122.284153125

28.832681 14.00468 13.312068 14.0046812510.04881 128.135188 154.3688 128.135188125

1.0222026 11.1040 145.35100 11.10402563

1.0241E005 118.0821 144.32881 118.082102414

1.0241E005 118.0821 144.32881 118.082102414

1.0241E006 118.08201 144.328801 118.082010241

9 y0 2421

10 2421


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11/24

f´c 21 MPa DIMENSIONES

fy 420 MPa As (8N6) 222 mm2

b1 350 mm

ec 0.003 b2 350 mm

es 0.0021 recbr!m!e"#$ 6 cm

%!s#a"c!a e"#re &ar!''as 11.5 cm

2 AS I*A 1 852 mm2AS I*A 2 568 mm2

AS I*A 3 852 mm2

P$ 3100 +N

P"c 2325 +N

P"# 54 +N

DEO,MA-IO

" -" (cm) es1 es2

P$

2(P"c) 28.2 0.00236 0.00114

3 20 0.00210 0.00038

4(ba'a"cea%a) 1.1 0.0014 0.00008

1 (#ra"s) 1.0 0.0014 0.0000

0 (#ra"s) 16.0 0.00188 0.00028

1 (#ra"s) 14.6 0.001 0.0005

2 (#ra"s) 14.0 0.0011 0.0005

3 (#ra"s) 13.0 0.00162 0.00104

4 (#ra"s) 12.0 0.00150 0.001385 (#ra"s) 11.2 0.0013 0.0010

6 (#racc!$") 10.8 0.00134 0.00183

.8 0.0004 0.00358

8 6 0.00000 0.0055

4 0.00150 0.01013

10 2 0.00600 0.02325

11 1 0.01500 0.0450

12 0.1 0.100 0.52200

13 0.000001

14 0.000001

-ar# /!#'e


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13/24

A-/O,ES

*O P*AS/I-O ESPI,A* 0.8

*O P*AS/I-O *EE 0.5

MAIMA -ON-,E/O 0.85

0.65

0.

0.< 0.4363856

%= 0.8285143

e= 0.1540252

+ 0.2

, 0.15

M 108.832814

P 462.436

NES NI/A,IAS ESE,OS

es3 fs1 fs2 fs3 a

0.0000 420 228 1 24.0

0.00135 420 5 20 1.0

0.00210 38 16 420 14.5

0.00212 388 18 420 14.5

0.00244 35 56 420 13.6

0.0025 354 118 420 12.4

0.00321 343 150 420 11.

0.0036 323 208 420 11.1

0.00425 300 25 420 10.20.0048 28 33 420 .5

0.00500 26 366 420 .2

0.000 14 420 420 6.8

0.01150 0 420 420 5.1

0.0185 300 420 420 3.4

0.04050 420 420 420 1.

0.08400 420 420 420 0.

0.8600 420 420 420 0.1

86.00 420 420 420 0.0

86.00 420 420 420 0.0

9 y

φ >e?e

φ es@!ra'

φ #racc!$"


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0 0

150 600


15/24

E,AS DIA7,AMA DE IN/E,A--ION

Pc Ps1 Ps2 Ps3 P" M"

3100 0

148 358 12 15 10 125

1062 358 43 230 1232 163

06 331 358 81 12

03 331 10 358 866 12

850 320 32 358 16

6 301 6 358 653 163

43 22 85 358 53 161

60 25 118 358 40 155

63 256 156 358 3 15054 23 13 358 280 144

5 22 208 358 241 142

424 12 23 358 46 116

31 0 23 358 28 8

212 256 23 358 640 45

106 358 23 358 848 18

53 358 23 358 01

5 358 23 358 4 1

0 358 23 358 54 0

0 358 23 358 54 0


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17/24

0 10

125 10 0 81

12 81

c#

!!

P M e φ

1281 0 0.0000 0.65

1281 82 0.063 0.65

801 106 0.1324 0.65

566 112 0.1 0.65

51 113 0.186 0.66

535 116 0.2166 0.6

46 11 0.2504 0.3

445 121 0.211 0.5

38 123 0.314 0.

31 125 0.348 0.8424 12 0.5146 0.88

21 128 0.586 0.0

41 104 2.5228 0.0

250 80 0.316 0.0

56 41 0.00 0.0

63 16 0.020 0.0

811 8 0.0101 0.0

854 1 0.0010 0.0

85 0 0.0000 0.0

85 0 0.0000 0.0


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19/24

e9e"#r!c!%a%

0 012 81


20/24


21/24

c#

0 0142 241


22/24


23/24

@ m e9e"#r e=

1120 42 0.035 0.038

1600 122 0.063 0.106

1560 146 0.036 0.2340

1160 26 0.0224 0.056020 8 0.046 0.2364

20 33 0.0458 0.1146

%= 0.85


24/24

r

0.4524886 0.0000424

0.64641241 0.0001232

0.6302521 0.000145

0.46864 0.00002630.316814 0.00008

0.208855 0.0000333

0.64641241

0.208855

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