What is the available strength (kip) in axial compression for the following member: HSS Зx3x1/4 (Given: Fy = 46 Ksi, K=1.0 , & L=60 in.)
What is the available strength (kip) in axial compression for the following member: HSS Зx3x1/4 (Given: Fy = 46 Ksi, K=1.0 , & L=60 in.)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:What is the available strength (kip) in axial
compression for the following member: HSS
Зx3x1/4
(Given: Fy = 46 Ksi, K=1.0 , & L=60 in.)
%3D
Table 4-4 (continued)
Available Strength in
Axial Compression, kips
Fy = 46 ksi
%3D
Square HSS
HSS3
HSS3× 3x
Shape
3/8
5/16
1/4
3/16
/8
tdesign, in.
0.349
0.291
0.233
0.174
0.116
Ib/ft
12.2
10.6
8.81
6.87
4.75
OcPn
OcPn
Design
ASD
LRFD
ASD
LRFD
ASD
LRFD
ASD
LRFD
ASD
LRFD
93.4
140
81.0
122
67.2
101
52.1
78.2
35.8
53.8
1
92.6
139
80.3
121
66.7
100
51.7
77.7
35.6
53.4
90.2
136
78.3
118
65.1
97.9
50.5
75.9
34.8
52.3
86.4
130
75.1
113
62.6
94.1
48.7
73.2
33.6
50.5
4
81.3
122
70.9
107
59.3
89.1
46.2
69.4
32.0
48.1
75.3
113
65.8
98.9
55.2
83.0
43.2
64.9
30.0
45.1
68.5
103
60.1
90.3
50.6
76.1
39.8
59.8
27.8
41.7
7
61.2
92.0
53.9
81.0
45.7
68.7
36.1
54.3
25.3
38.1
53.8
46.4
8
80.8
47.6
71.5
40.6
61.1
32.3
48.6
22.8
34.2
69.8
41.3
62.1
35.6
53.4
28.5
42.8
20.2
30.3
10
39.4
59.3
35.3
53.0
30.6
46.0
24.7
37.1
17.6
26.5
11
32.9
49.4
29.6
44.5
25.9
39.0
21.1
31.8
15.2
22.9
12
27.6
41.5
24.9
37.4
21.8
32.8
17.8
26.8
12.9
19.4
13
23.5
35.4
21.2
31.8
18.6
27.9
15.2
22.8
11.0
16.5
14
20.3
30.5
18.3
27.4
16.0
24.1
13.1
19.7
9.48
14.2
15
17.7
26.6
15.9
23.9
13.9
21.0
11.4
17.1
8.26
12.4
16
15.5
23.3
14.0
21.0
12.3
18.4
10.0
15.1
7.26
10.9
17
13.8
20.7
12.4
18.6
10.9
16.3
8.87
13.3
6.43
9.66
18
11.0
16.6
9.69
14.6
7.91
11.9
5.73
8.62
19
7.10
10.7
5.15
7.73
Properties
Ag, in.?
k= ly, in.*
3.39
2.94
2.44
1.89
1.30
3.78
3.45
3.02
2.46
1.78
Effective length, KL (ft), with respect to least radius of gyration, ry
Transcribed Image Text:3/8
5/16
1/4
3/16
1/8
tdesign, in.
0.349
0.291
0.233
0.174
0.116
Ib/ft
12.2
10.6
8.81
6.87
4.75
OcPn
OcPn
Design
ASD
LRFD
ASD
LRFD
ASD
LRFD
ASD
LRFD
ASD
LRFD
93.4
140
81.0
122
67.2
101
52.1
78.2
35.8
53.8
1
92.6
139
80.3
121
66.7
100
51.7
77.7
35.6
53.4
136
130
78.3
50.5
48.7
90.2
118
65.1
97.9
75.9
34.8
52.3
86.4
75.1
113
62.6
94.1
73.2
33.6
50.5
4
81.3
122
70.9
107
59.3
89.1
46.2
69.4
32.0
48.1
75.3
113
65.8
98.9
55.2
83.0
43.2
64.9
30.0
45.1
68.5
103
60.1
90.3
50.6
76.1
39.8
59.8
27.8
41.7
61.2
92.0
53.9
81.0
45.7
68.7
36.1
54.3
25.3
38.1
53.8
80.8
47.6
71.5
40.6
61.1
32.3
48.6
22.8
34.2
9.
46.4
69.8
41.3
62.1
35.6
53.4
28.5
42.8
20.2
30.3
10
39.4
59.3
35.3
53.0
30.6
46.0
24.7
37.1
17.6
26.5
11
32.9
49.4
29.6
44.5
25.9
39.0
21.1
31.8
15.2
22.9
12
27.6
41.5
24.9
37.4
21.8
32.8
17.8
26.8
12.9
19.4
13
23.5
35.4
21.2
31.8
18.6
27.9
15.2
22.8
11.0
16.5
14
20.3
30.5
18.3
27.4
16.0
24.1
13.1
19.7
9.48
14.2
15
17.7
26.6
15.9
23.9
13.9
21.0
11.4
17.1
8.26
12.4
16
15.5
23.3
14.0
21.0
12.3
18.4
10.0
15.1
7.26
10.9
17
13.8
20.7
12.4
18.6
10.9
16.3
8.87
13.3
6.43
9.66
18
11.0
16.6
9.69
14.6
7.91
11.9
5.73
8.62
19
7.10
10.7
5.15
7.73
Properties
Ag, in.2
k = ly, in.
Tx= Ty, in.
3.39
2.94
2.44
1.89
1.30
3.78
3.45
3.02
2.46
1.78
1.06
1.08
1.11
1.14
1.17
ASD
LRFD
Note: Heavy line indicates KL/ry equal to or greater than 200.
Nc =1.67
Oc= 0.90
а. 63.3 Kip
b. 47.5 Kip
c. 65 Kip
d. 83.0 Kip
O e. 74.4 Kip
gyration, ry
Effective length, KL (ft), with respect to least radius
678
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