A 15 x 25 in. column is reinforced with four No. 9 (No. 29) bars, one in each corner as shown in Figure (a). The concrete cylinder strength is f. = 4000 psi and the steel yield strength is 60000 psi. Determine the load Pa, moment M, for tension failure. E=0.003, E;=29000, c=7.00 in. Imperial Metric bar Linear Mass Density Nominal diameter Nominal area 25" bar size size (soft (in) (mm) (in) (mm) 0.250 - 4 6.35 0.05 32 2.5" 2.5" No.6 0.167 0.249 No. 10 No. 13 No. 16 0.376 0.560 0.375 = % 9.53 0.11 71 0.668 0.994 0.500 = 4 12.7 0.20 129 0 625 = % 15.9 031 200 Pn 1.043 1.562 15" No. 19 1.502 2.235 0.750% 19.1 0.44 284 0.875 = 4 222 0.60 387 1.000 =% 254 079 510 1. 128 -% 26.7 1.00 645 1.270-1% 323 No 22 2.044 3.042 No 25 2670 3.973 A's e varies - 3.400 5.060 As No 29 10 No 32 4.303 6.404 1.27 819 #11 No.36 5.313 7.907 1.410 - % 358 1.56 1.005 No 43 7 650 11.384 1.693 -% 430 2 25 1,452 #14 2 257 -% 573 4.00 2.581 (a) 18 No 57 1360 20 239

Structural Analysis
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Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A 15 x 25 in. column is reinforced with four No. 9 (No. 29) bars, one in each corner as shown in Figure (a). The concrete cylinder strength is f. = 4000 psi and
the steel yield strength is 60000 psi. Determine the load Po, moment M, for tension failure. &,=0.003, E;=29000, c=7.00 in.
Imperial Metric bar Linear Mass Density Nominal diameter Nominal area
25"
bar size size (soft)
(in)
(mm) (in) (mm')
2.5"-
2.5"
0.250 - % 6.35 0.05 32
0.375 - % 9.53 0.11 71
0.500 = 4 12.7 0.20 129
0.625 = % 15.9 0.31 200
0.750 = % 19.1
0.875 = % 222 0.60 387
1.000 = % 25.4 0.79 510
1.128 - % 28.7 1.00 645
1.270 - 1% 32.3 1.27 819
1.410 - % 35.8
No.6
0.167
0.249
#3
No. 10
0.376
0.560
No. 13
0.668
0.994
#4
#5
No. 16
1.043
1.562
15"
No. 19
1.502
2.235
0.44 284
#7
No.22
2.044
3.042
#8
No 25
2670
3.973
No. 29
A's
e varies
3.400
As
#9
5.060
#10
No.32
4.303
6.404
#11
No.36
5.313
7.907
1.56 1,006
No 43
7.650
11.384
1.693 -1% 43.0 2.25 1,452
#14
2.257- 1% 573
(a)
#18
No.57
13.60
20.239
4.00 2,581
O a. 295.30 Kips, 5208.93 in-kips
O b. 270.30 Kips, 5158.93 in-kips
O. 295.30 Kips, 5158.93 in-kips
O d. 270.30 Kips, 5208.93 in-kips
Transcribed Image Text:A 15 x 25 in. column is reinforced with four No. 9 (No. 29) bars, one in each corner as shown in Figure (a). The concrete cylinder strength is f. = 4000 psi and the steel yield strength is 60000 psi. Determine the load Po, moment M, for tension failure. &,=0.003, E;=29000, c=7.00 in. Imperial Metric bar Linear Mass Density Nominal diameter Nominal area 25" bar size size (soft) (in) (mm) (in) (mm') 2.5"- 2.5" 0.250 - % 6.35 0.05 32 0.375 - % 9.53 0.11 71 0.500 = 4 12.7 0.20 129 0.625 = % 15.9 0.31 200 0.750 = % 19.1 0.875 = % 222 0.60 387 1.000 = % 25.4 0.79 510 1.128 - % 28.7 1.00 645 1.270 - 1% 32.3 1.27 819 1.410 - % 35.8 No.6 0.167 0.249 #3 No. 10 0.376 0.560 No. 13 0.668 0.994 #4 #5 No. 16 1.043 1.562 15" No. 19 1.502 2.235 0.44 284 #7 No.22 2.044 3.042 #8 No 25 2670 3.973 No. 29 A's e varies 3.400 As #9 5.060 #10 No.32 4.303 6.404 #11 No.36 5.313 7.907 1.56 1,006 No 43 7.650 11.384 1.693 -1% 43.0 2.25 1,452 #14 2.257- 1% 573 (a) #18 No.57 13.60 20.239 4.00 2,581 O a. 295.30 Kips, 5208.93 in-kips O b. 270.30 Kips, 5158.93 in-kips O. 295.30 Kips, 5158.93 in-kips O d. 270.30 Kips, 5208.93 in-kips
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