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8/16/2019 Design of Compression Members W-shapes
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4 - 1 2 D E S I G N O F C O M P R E S S I O N M E M B E R S
Table 4-1Available Strength in e _ e n Ut^,
Axial Compression, kips, y - IVOI
W 1 4 W-Shapes
Shape W 1 4 x
lb / f t 730 665 605 550 500 4S5' '
Pnfac i cPn <| )c/?7 ^Pn ^cPn W P«ICip Mnfac i cPn <| )c/?7UQSiyii
i & D . A s p ,SD LRFD A S D LfiFD A S D LRFD i & D LRFD . A s p , LRFD ASD, . LRFD
0 644b 9670 5870 8820 5330 8 0 1 0 4850 7290 4400 6 6 1 0 4 0 1 0 6030
1 1 6070 9 1 3 0 5530 8 3 1 0 5 0 1 0 7530 ,4550 6840 6200 3?50 56401 2 6 0 1 0 9030 5470 8220 '495?: 7440 6760 W O 6 1 2 0 •710- ^ 55701 3 S940 . 8920 5400 8 1 1 0 7350 ,4440^ 6670 ,•020 6040 mo. 55001 4 , 5^60 . 8 8 1 0 5 ^ 3 0 8 0 1 0 4820 7250 4380 6580 3960 5950, 3600
35Sb5420
n 1 5 8690 '5250 7890 4750 7 1 4 0 43l'0 6480 3900 5860360035Sb 5330
S1 6 5690 8560 5 1 7 0 7770 ' ^ 6 8 0 7030 4240" 6380 '3840 5770 52401 7 5 6 1 0 8430 5090 7650 4600 6920 •170r 6270 13770 5660 3 4 ^ ' 5 1 5 0
2 1 8 ( 5 5 1 0 8290 ,500q 7520 452,0. 6790 .4100 6 1 6 0 370ft . 5560 3360 5050
1 1 9 5420 8 1 4 0 4 9 1 0 7380 4440 6670 402Q 6040 3630 5450 3290 4950a 2 0 5320 7990 4820 7240 4350 6540 3940 5920 3550 5340 32?0^ 4840s« 2 2 ' 5 11 0
76704620
6950 '41706260 3770 5660 hk 5 1 0 0 "3080 4620
IS 2 4 4890 7340 4420 6640 3980 5980 •590 5400 •230 •4860 '29 20 4400
12 6 4660 7000 4200 6320 3780 5680 •410 5 1 2 0 .3060 4600 27-70 4 1 6 02 8 4420 6650 39 90 5 990 3 580 5 380 3220 4840 2890 4340 28J0 3920f 3 0 4 1 8 0 6290 3760 5660 3370 5070 3030 4560 272 0 4080 2450 3680
g 3 2 3940 5930 3540 5320 3 1 7 0 4760 2840 4270 2540 3820 229p 34403 4 * 5560 - 3320. 4990 2960' 4450 2650 3990 3560 23 30 ; 32003 6 3460 5200 3 1 0 0 4650 2760 4 1 4 0 2460 3700 2200 3300 2960
13 8 3 ^ 0 4850 2880 4330 2560 3840 2280 3430 2030 3050 s f t i d ' 2730
S 4 0 2990 4500 2670 4 0 1 0 2360 3550 2 1 0 0 : 3 1 6 0 1 8 7 0 ^2800 - ;1670' 2 5 1 0
s 4 2 2770 4 1 6 0 ,2460 3690 2 1 7 0 3270 ,1930r 2900 1 7 1 p 2570 JSZO 2290
8 4 4 2550 3830 2260 3390 1 9 9 0 2990 1 7 6 0 2650 1 5 6 0 2340 1 3 9 0 2080i S 4 6 2330 3 5 1 0 2060 3 1 0 0 1 8 2 0 2730 1 6 1 0 2420 1 4 2 0 2 1 4 0 ,1270 1 9 1 0
4 8 2 1 4 0 3220 1 9 0 0 2850 1 6 7 0 2 5 1 0 1 4 8 0 2220 1 3 1 0 1 9 6 0 • f e o 1 7 5 05 0 1 9 7 0 2970 1 7 5 0 2630 1 5 4 0 2 3 1 0 1 3 6 0 . 2050 1 5 0 0 1 8 1 0 1 0 7 0 ' 1 6 1 0
Properties
Pm, kips 2320 4230 ' 2 4 1 0 3620 2060 3090 1 7 5 0 2630 1 5 0 0 2240 'T28b 1920
Pwi, kips/in. 1 0 2 1 5 4 9 4 ^ 1 4 2 8 6 . 7 1 3 0 7 9 . 3 ' 11 9 7 3 . 0 11 0 • 7 . 3 101
Pwu, kips 44000 66100 34400 51700 26600 40100 20500 30800 T5900 23900 12500 18800
Pf t , kips 4 5 1 0 6780 3820 5750 3240 4870 2730 4 1 0 0 2290 3450 " 1 9 3 0 2900
1 6 . 6 1 6 . 3 1 6 . 1 1 5 . 9 1 5 . 6 1 5 . 5
Lr,n 2 7 5 2 5 3 2 3 2 2 1 31 9 6 1 7 9
Ag, in .^ 2 1 5 1 9 6 1 7 8 1 6 2 1 4 7 1 3 4
/ / . in . 14300 12400 10800 9430 8 2 1 0 7 1 9 04720 4 1 7 0 •3680 3250 2880 2560
fy , in . 4 . 6 9 4 . 6 2 4 . 5 5 4 . 4 9 4 .43 , 4 . 3 8
fxlry 1 . 7 4 1 . 7 3 1 .71 1 .70 1 ,69 1 .67
409000 355000 309000 270000 235000 206000
135000 119000 105000 : 93000 , 82400 73300
A S D LRFO Range thickness is greater than 2 in. Special requirements may apply per AiSCSpecification Section A3 1c
fic=1.67 (be = 0.90
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S T E E L C O M P R E S S I O N - M E M B E R S E L E C T I ON TA B L E S 4 - 1 3
Fy = 50 ksi
Table 4 -1 (continued)Available Strength in
Axial Compression, kipsW-Shapes W 1 4
Shape W 1 4 x
tb/ft 4 2 6 " 398' ' 370^ 3 4 2 " 3 11 " 2 8 3 "
inn Pnltlc ifcPn Pn/Cic (ttePfl p„iac i^Pn PnlS^ic hP, Pn/Clo M Pn/ilc •^oPnuca
A S D LRFD A S D - LRFD >ASO LRFD A S D LRFD A S O LRFD A S D LRFD
0 374ff 5620 .3500 5260 3260 4900 3020 4540 2740 4 11 0 2490 3750
11 3500- 5260 3270 4920 3040 •570 2820 4230 2550 3830 2320 3480> 12 •450 5 1 9 0 •230 4850 3000 4 5 1 0 2780 ' 4 1 8 0 2 5 m - 3770 2290 3440o 13 3 4 1 0 5 1 2 0 ^3180 4780 29 60 •44 50 2740 4 1 2 0 247Q 3720 2250 3380
& 1 4 - 3350' 504 0 3 1 3 0 4 7 1 0 2 9 1 0 4380 •700 405 0 t2430 3660 2 2 1 0 3330a 15 3 ^ 0 0 , 4960 3080 4630 2870 4 3 1 0 2650 3980 2390 3600 2 1 8 0 3270• 16 3240. .4870 3030 4550 2 8 1 0 4230 26Q0 3 9 1 0 2350 3530 - 2 1 4 0 3 2 1 0S 17 - 3 180- 4 79 0 2970 4470 2760 4 1 5 0 2550; 3840 2300 3460 .-2O90 3 1 5 0s 18 3 1 2 0 4690 2920 4380 2 7 1 0 4070 2500- 3 76 0 :2 260 3390 2050 3080
m 19 3060 4600 2850 •4290 2650- 3 98 0 •4 50 ' 3680 2 2 1 0 3320 ,2000 3 0 1 0M 2 0 2990 4500 2790 4200 •590 3890 '2390> 3600 2 1 6 0 3240 1 9 6 0 2940s 22 2860- 4290 2660 4000 2470 3 7 1 0 3420 2050 3080 •8 60 28001 24 2 7 1 0 4080 '2530 3800 2340 3520 3 1 6 0 3240 1 9 4 0 - 2920 : 1 7 6 6 2640
« 26 2560 3850 2390 3590 2 2 1 0 3320 2040' 3060 1 8 3 0 2750 i1660 249028 3630 2250 3380 2080 3 1 2 0 1 9 1 0 - 2870 1 7 1 0 ' 2580, .•550 2330
•g 3 0 2260 3400 2 1 0 0 3 1 6 0 • 94 0 •2920 •790 2680 1 6 0 0 2400 1 4 5 9 2 1 7 0
t 32 2 11 0 3 1 7 0 1 9 6 0 2950 ^1810 2720 1 6 6 0 2500 1 4 9 0 . 2230 . 1340 202034 1i 60- 2950 1 8 2 0 2730 1 6 7 0 2520 "1540. 2 3 1 0 1 3 7 0 , 2060 " 1 2 4 0 1 8 6 0
*36 1 8 1 0 2730 1 6 8 0 2530 •540 2320 1 4 2 0 2 1 3 0 1 2 6 0 ' 1 9 0 0 '11 4 0 1 7 1 0
'E 38 1 6 7 0 2 5 1 0 1 5 5 0 2320 1 4 2 0 2 1 3 0 1 3 0 0 1 9 5 0 1160'' 1 7 4 0 . 1 0 4 0 1 5 6 0
J 4 0 1 S 3 0 2300 1 4 1 C , 2 1 3 0 1 3 0 0 1 9 5 0 11 8 0 1 7 8 0 1 0 5 0 .. 1 5 8 0 • 9 4 5 1 4 2 0
s 42 .1390: 2090 1290- 1 9 3 0 1 1 8 0 1 7 7 0 1 0 7 0 1 6 1 0 9 5 4 ; / 1 4 3 0 r 8 5 7 1 2 9 0
a <44 i:2 70 1 9 1 0 1 7 6 0 1 0 7 0 1 6 1 0 :97;0<. 1 4 7 0 - 8 6 9 • 1 3 1 0 " 7 8 1 11 7 0S 46 4 1 6 0 1 7 5 0 1 0 7 0 1 6 1 0 r 9 8 0 . 1 4 7 0 8 0 6 1 3 5 0 7 9 5 - ; 1 2 0 0 I--715 1 0 7 0
48 1 0 7 0 •600 1 4 8 0 . 9 0 0 1 3 5 0 8 2 3 1 2 4 0 •30 11 0 0 6 5 6 9 8 6: 5 0 9 8 3 1 4 8 0 9 0 7 • 1 3 6 0 8 3 0 1 2 50 7 5 8 '- 1 14 0 673 - 1 0 1 0 - •605 9 0 9
Properties
Pm , kips 11 4 0 1 7 1 0 1 0 1 0 1 5 2 0 9 0 2 ' . 1 3 5 0 7 S 8 11 8 0 6 7 2 1 0 1 0 5 7 4 8 61Pyfi, kips/In. 6 2 . 7 9 4 . 0 5 9 . 0 8 8 . 5 5 5 . 3 8 3 , 0 .- 51.3 7 7 . 0 :47.0- 7 0 . 5 4 3 . 0 . 6 4 . 5
P k6 , kips 1 01 0 0 1 5 1 0 0 8420, 12700 6920' 10400 5540 8320 •250', 6390 32 60 4900
Pft, kips •Ml m 2600 1 5 2 0 " 2280 1 3 2 0 1 9 9 0 l i 4 0 1 7 2 0 9 5 6 1 4 4 0 8 0 2 1 2 1 0
tp.ft 1 5 , 3 1 5 . 2 15 .1 1 5 , 0 1 4 , 8 1 4 7Lr.n 1 6 8 1 5 8 1 4 8 1 3 8 1 2 5 11 4
AgM? 1 2 5 11 7 1 0 9 1 0 1 9 1 . 4 8 3 . 3
/x .in,' 660 0 600 0 5440 4900 4330 3840/y.in," 2360 2 1 7 0 1 9 9 0 1 8 1 0 1 6 1 0 1 4 4 0
fy. in. 4 . 3 4 4 .31 4 . 2 7 4 . 2 4 4 . 2 0 4 . 1 7rju 1 . 6 7 1 . 6 6 1 . 6 6 1 . 6 5 1 . 6 4 1 . 6 3
Pwl/fqVlO'.k- in.^ 189000 172000 156000 140000 124000 11000067500 62100 57000 51800 46100 41200
Cic=1.67
LRFD
c = 0 . 9 0
' Range thickness is greater than 2 in. Special requirements may apply per AISCSpec/ffcaficn Section A3 1c
AMERICAN INSTRRUTB OF STEEL CONSTRUCTION
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4 - 1 4 . D E S I G N O F C O M P R E S S I O N M E M B E R S
Table 4 -1 (continued)Available Strength in p - ' (in k c i
Axial Compression, kipst y - • W IVOI
W 1 4W-Shapes
Shape W 1 4 x
lb/ f t 2 5 7 2 3 3 211 193 176 159
mo (fcPn Pn/Qc ^cPii Pn/iic P^ICic iS>cPn PnlQc ^ c P n P ^ O c MDesign
ASDl LRFD ASO.- LRFD ASO LRFD ASD LRFD ASD LRFD ASO LRFO
, 0 2260 3400 2050'. 3080 1 8 6 0 2790 1 7 0 0 2560 1 5 5 0 233 0 . 1 4 0 0 2 1 0 0
6 2 2 1 0 ,S,S30 2 0 1 a 3 0 1 0 1 8 1 0 . - 2730 1 6 6 0 •500 15tff 2280 1 3 7 0 2050
, 7 ??nn 3300 1 9 9 0 2990 1800.. 2700 1 6 5 0 2480 •500 2260. 1 3 5 0 2030
I 8 2 1 8 0 3270 1 9 7 0 2960 1780;' 2680 1 6 3 0 : 2450 " 1 4 9 0 2240 •340 2 0 1 0I
: 9 ?i. ' in 3?40 1 9 5 0 2930 1 7 6 0 ' 2650 1 6 1 0 2430 1 4 7 0 •210 1 3 3 0 1 9 9 0
oi 1 0 2 1 3 0 3200 1 9 3 0 2900 1 7 4 0 2620 1 ^ 9 0 2400 1 4 5 0 ' 2 1 8 0 1 3 1 0 1 9 7 0
• 1 1 ?inn- 31fi0 i 9 o a 2860 1 7 2 0 ,2580 1 5 7 0 2360 1 4 3 0 - 2 1 5 0 1 2 9 0 1.940s
1 2 2070 alio 1 8 7 0 2820 1 6 9 0 2550 1 5 5 0 2330 1 4 1 0 2 1 2 0 ' 1 2 7 0 1 9 1 0
p 1 3 2040 .3060 1 8 4 0 2770 1 6 7 0 2 5 1 0 1 5 3 0 2290 1390" 2090 1 2 5 0 1 8 8 0
V 1 4 •20in 3 0 1 0 1 8 1 0 2730 1 6 4 0 2460 1500- 2250 1360- 2050 1 2 3 0 1 8 5 0
1 . 1 5 1 9 7 0 2960 1 7 8 0 2680 1 6 1 0 2420 1 4 7 0 ' 2 2 1 0 l340,; 2 0 1 0 1 2 1 0 1 8 1 0
s 1 6 1 9 . % 2900 1 7 5 0 2630 1 5 8 0 2370 1 4 4 0 ' 2 1 7 0 1 3 1 9 1 9 7 0 . , 11 8 0 1 7 8 0t 3fL 17 1 8 9 0 2850 1 7 1 0 2570 1 5 4 0 2320 1 4 1 0 . - 2 1 2 0 1 2 8 0 1 9 3 0 11 6 0 1 7 4 0
s 1 8 1 8 5 0 2790 1 6 7 0 2520 1 5 1 0 2270 1 ^ 8 0 2080 1 2 6 a 1 8 9 0 .1 1 3 0
1 7 0 0c1 9 1 8 1 0 2720 1 6 4 0 2460 1 4 8 0 2220 1 3 5 0 2030 1 2 3 0 1 8 4 0 • 1 0 0 1 6 6 0
1 ' 2 0 •770 2660 1 6 0 0 , 2400 ,1440 2 1 6 0 1320." 1 9 8 0 1 2 0 0 1 8 0 0 , 1 0 7 0 1 6 2 0
g 2 2 . 1 6 8 0 2520 1 5 1 0 2280 1 3 6 0 2050 12505- 1 8 7 0 11 3 0 1 7 0 0 1 0 2 0 1 5 3 0
2 4 1 5 9 0 2380 1 4 3 0 2 1 5 0 1 2 9 0 1 9 3 0 •ir a . 1 7 7 0 1 0 7 0 1 6 0 0 . 9 5 7 1 4 4 0«
2 6 •49Q' 2240 1 3 4 0 2020 1 2 1 0 1 8 2 0 11 0 0 1 6 6 0 998- 1 5 0 0 , 8 9 6 1 3 5 0JS2 8 1 4 0 Q 2 1 0 0 1 2 6 0 , 1 8 9 0 11 3 0 1 7 0 0 1 0 ® 1 5 5 0 9 3 1 1 4 0 0 - 8 3 5 1 2 5 0
J 3 0 1 3 0 0 1 9 5 0 ' 11 7 0 1 7 5 0 1 0 5 a 1 5 7 0 9 5 4 1 4 3 0 8 6 3 " •300 •73 11 6 0
.1 3 2 1 2 0 0 1 8 1 0 1 0 8 0 - 1 6 2 0 968 1 4 6 0 8 8 1 . 1 3 2 0 796= 1 2 0 0 ; 7 1 3 1 0 7 0
3 4 1 1 1 0 1 6 7 0 • 9 9 4 ^ 1 4 9 0 8 9 0 ' 1 3 4 0 81 0 .5 1 2 2 0 7 3 0 - 11 0 0 653 9 8 2
UJ 3 6 1 0 2 0 1 5 3 0 911 > 1 3 7 0 8 1 5 1 2 2 0 7 4 0 1 1 1 0 6 6 7 1 0 0 0 596 8 9 6
3 8 9 2 8 1 4 0 0 8 3 0 1 2 5 0 7 4 1 111 0 6 7 3 . 1 0 1 0 m 9 0 9 540 8 1 2
4 0 8 4 1 " 1 2 6 0 7 5 1 11 3 0 670- 1 0 1 0 6 0 5 : 9 1 4 5 4 6 ; 8 2 1 4 8 7 7 3 3
Properties
Pwa, kips . 4 9 0 7 3 5 414^^ 6 2 1 3 5 3 5 2 9 3 0 3 ' 4 5 4 2 6 4 3 9 6 2 2 2 3 3 3
Pm , kips/in. 3 9 . 3 ; 5 9 . 0 3 5 . 7 5 3 . 5 3 2 . 7 ' 4 9 . 0 4 4 . 5 2 7 . 7 4 1 . 5 2 4 8 3 7 . 3
Pm ,. kios 2480 3730 2780 1 4 3 0 2 1 5 0 IOTO; 1 6 1 0 8Z0 1 3 1 0 628 9 4 4
Pfu, kips r e f e i 1 0 0 0 5 S 4 ; . 8 3 2 4 5 5 6 8 4 s f e . 5 83 3 2 1 ' 4 8 3 2 6 5 3 9 8
Lp, ft 1 4 . 6 1 4 . 5 1 4 . 4 1 4 . 3 1 4 . 2 14 ,1
in ft 1 0 4 9 5 . 0 8 6 . 6 7 9 . 4 7 3 . 2 6 6 . 7
Ag, in.2 7 5 . 6 6 8 . 5 6 2 . 0 5 6 . 8 5 1 . 8 4 6 . 7y
Ix. in." 3400 3 0 1 0 2660 2400 2 1 4 0 1 9 0 0
V i n . " 1 2 9 0 11 5 0 1 0 3 0 ' 9 3 1 8 3 8 7 4 8ry, in. 4 . 1 3 4 . 1 0 4 . 0 7 4 . 0 5 4 . 0 2 4 . 0 0
hlu 1 . 6 2 1 . 6 2 1 . 6 1 1 . 6 0 1 . 6 0 1 . 6 0
P e Mf no ^ : k- in.= 97300 86200 76100 68700 61300 54400
36900 32900 29500 26600 24000 21400
ASO,-;--. LRFD
1 . 6 7 (])(;= 0 . 9 0
AMERICAN N S T T r U X E OF STEEL GONSTRUCTION
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S T E E L C O M P R E S S I O N - M E M B E R S E L E C T I O N TA B L E S 4 - 1 5
Fy = 50 ksi
Table 4 -1 (continued)Available Strength in
Axial Compression, kipsW-Shapes W 1 4
Shape W14x
lb/f t 145 132 120 109 99 90
DesignPnlQc fePn PnlQo •-oPi. PnlO^ « < >cP« >cPn PnlClo ^ P n
DesignA s n LRFD LRFD A s n LRFO ASD, LRFD A S D - LRFD ASto LRFD
0 1 2 8 0 1 9 2 0 mo 1 7 5 0 1 0 6 0 1 5 9 0 9 5 8 . 1 4 4 0 8 7 1 1 3 10 ' 7 9 3 1 1 9 0
6 •250 1 8 8 0 • 1 3 0 1 7 0 0 1 0 3 0 1 5 5 0 9 3 2 1 4 0 0 8 4 8 1 2 7 0 7 7 2 11 6 0: 7 1 2 4 0 1 8 6 0 11 2 0 1 6 8 0 1 0 2 0 1530 923- 1 3 9 0 8 3 9 1 2 6 0 7 6 4 11 5 0
1 8 1 2 3 0 1 8 4 0 4 1 1 0 1 6 6 0 1 0 1 0 1 5 1 0 •13 1370 8 3 0 1250 7 5 5 11 4 09 , 1210 1820 •090 1 6 4 0 9 9 4 1 4 9 0 9 0 1 1 3 5 0 8 1 9 1 2 3 0 - 7 4 5 11 2 0
oS 10 1 2 0 q 1800 11080 1620 9 8 0 1 4 70 8 8 8 ' 1 3 4 0 8 0 7 1 2 1 0 7 3 5 11 0 0o
O 11 •18Q 177 0 10 60 1600 9 6 5 1 4 5 0 8 7 4 1 3 1 0 7 9 4 > 11 9 0 7 2 3 1 0 9 0.2 12 11 6 0 1 7 5 0 - io4o 1 5 7 0 9 4 8 1 4 3 0 8 5 9 1 2 9 0 7 8 0 . 1170 7 1 0 1 0 7 0E 13 ^ 1 4 0 1 7 2 0 ••020 1 5 4 0 9 3 1 1 4 00 8 4 3 1 2 7 0 7 6 6 - 11 5 0 6 9 7 1 0 5 0to 14 11 2 0 1 6 9 0 4 B 0 0 1 5 1 0 9 1 2 1 3 7 0 8 2 6 . 1 2 40 7 5 0 ; 11 3 0 6 8 2 1 0 3 0Ms
15 11 0 0 1 6 5 0 •82 1 4 8 0 8 9 2 1 34 0 « 0 8 ' 1 2 1 0 7 3 3 . •100 6 6 7 1 0 0 0s
16 1 0 8 0 1 6 2 0 •960 1 4 4 0 8 7 2 1 3 1 0 7 8 9 11 9 0 7 1 6 ' .1 0 8 0 . 6 5 2 9 7 98 17 1 0 6 0 1 5 9 0 9 3 7 1 4 1 0 8 5 0 1 2 8 0 . 7 7 0 11 6 0 698- ,' 1 0 5 0 •35 9 5 5
i 18 1 0 30 1 5 50 9 1 3 • 1 3 70 8 2 8 1 2 4 0 750- 1 13 0 6 8 0 ' 1 02 0 6 1 8 9 2 9
s 19 1 0 1 0 1 5 1 0 8 8 8 1 3 3 0 8 0 5 1 2 1 0 7 2 9 . 11 0 0 , 6 6 1 9 9 4 601, 9 0 3s 20 9 8 0 ' 1 4 7 0 1 8 6 2 - 1 3 0 0 7 8 2 11 8 0 7 0 8 1 0 6 0 6 4 2 - . 9 6 4 ' 5 8 3 8 7 7
t 22 ' 9 2 7 ' 1 3 9 0 8 1 0 1 2 2 0 7 3 4 11 0 0 6 6 4 9 9 8 \ 6 02 9 0 4 5 4 7 8 2 224 . 8 7 2 1 3 1 0 7 5 6 . 11 4 0 6 8 5 1 0 3 0 .620 9 3 1 8 4 3 5 0 9 7 6 6
*26 ^8 1 6 . 1 2 3 0 : 7 0 2 1 0 6 0 6 3 5 9 5 5 5 7 4 . 8 6 3 5 1 9 7 8 1 4 7 2 7 0 9
a 28 _7 S 9 11 4 0 6 4 ' 8 . 9 7 4 5 8 6 8 8 0 ' 5 2 9 7 9 6 4 7 8 7 1 9 • 3 4 6 5 3
1 30 7 0 3 1 0 6 0 - 5 d 4 8 9 3 5 3 7 8 0 7 4 8 5 ; 7 2 9 4 3 8 6 5 8 3 9 7 5 9 7
§ 32 6 4 7 ' 9 7 3 : •42 8 1 4 4 8 9 7 3 5 4 4 1 6 6 3 3 9 8 ' 5 9 8 3 6 1 5 4 334 5 9 3 ' 8 9 1 4 9 1 7 3 8 4 4 3 6 6 5 3 9 9 6 0 0 3 6 0 541 3 2 6 4 9 0
£ 36 5 4 0 ' 8 1 2 4 4 2 6 6 4 3 9 8 5 9 8 3 5 9 5 3 9 323'- , 4 8 5 2 9 2 4 3 9.38 4 8 9 7 3 5 3 9 7 5 9 6 357- 5 3 6 3 2 2 4 8 4 2 9 0 ' 4 3 5 : 2 6 2 3 9 4
40 4 4 V 6 6 3 3 5 8 5 3 8 3 2 2 4 8 4 2 9 0 4 3 7 2 61 3 9 3 2 3 7 3 5 6
Properties
Piwkips . 1 9 2 2 8 7 1 7 5 2 6 3 ,151 227 1 2 8 1 9 2 11 ^ 1 6 7 96.1.: 1 4 4
Pw , kips/in. •2.7 34 .0 21 '.5 32 .3 19 .7 2 9 . 5 1 7 . 5 26 .3 16 .2 24 .3 14..7 22 ,0
4 7 6 7 1 6 =5407 6 11 3 1 2 ; 4 6 9 2 2 0 3 3 0 1 7 3 2 6 0 1 2 9 1 9 4
/"fekips 2 2 2 ' 3 3 4 1 9 9 2 9 8 1 6 5 2 4 9 1 3 8 2 0 8 11 4 1 7 1 9 4 . 3 1 4 2
14 .1 13 .3 13 .2 13 .2 13 .5 15.1
Ir. f t 6 1 . 7 5 5 . 8 5 1 . 9 4 8 . 5 4 5 . 3 4 2 , 5
Ag, in.2 4 2 . 7 3 8 . 8 35 .3 32 .0 29 .1 26 .5
1 7 1 0 1 5 3 0 1 3 8 0 1 2 4 0 111 0 9 9 9
6 7 7 5 4 8 4 9 5 4 4 7 4 0 2 3 6 2ry,in. 3 . 9 8 3 . 7 6 3 .74 3 .73 3.71 3 .70rxir, 1 . 5 9 1 .67 1 .67 1 . 6 7 1 . 6 6 1 . 6 6
Pa((/fi) /10^ k- in.^ 48 90 0 43800 . 39500 35500 31800 28600P^iKLflW. k-in.2 19400 157 00 14200 12800 1 1 5 0 0 10400
ASD
H e = 1 . 6 7
LRFD
(| )c=0.90
AMERICAN INSTITUTE OF STEEI. CONSTRUCTION
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4 - 1 6 D E S I G N O F C X ) M P R E S S I O N M E M B E R S
W 1 4
Table 4-1 (continued)Available Strength in
Axial Compression, kipsW-Shapes
F y 50 ksi
S h a p e W 1 4 x
lb/f t 8 2 7 4 6 8 6 1 5 3 4 8 4 3 '
PnlCXc PnlQc PalClc p„jao ^Pn Pn/Qc cPnDes g n . ASD- LRFD ASD LRFD« s o L R F D A S O LRFD A S O LRFD A S D LRFD A S D LRFD
0 71 9 "1080 6 5 3 9 8 1 5 9 9 9 0 0 5 3 6 ^ 8 0 5 -467 702 4 2 2 6 3 4 3 7 4 562
6 6 7 6 1 0 2 0 6 1 4 9 2 2 5 6 2 8 4 5 . 5 0 3 7 5 6 421 6 3 3 3 8 0 5 7 2 3 3 9 5 1 0I ?
7 6 6 1 9 9 3 6 0 0 9 0 ? 5 5 0 8 2 6 4 9 2 . 7 3 9 4 0 6 6 1 0 • 6 6 5 5 13 2 7 4 9 1
s 8 6 4 4 9 6 8 5 8 5 8 7 9 5 3 6 8 0 5 4 7 9 , 7 2 0 3 8 9 5 8 5 351 5 2 7 31'2 4 7 0
' i 9 6 2 6 } 9 4 0 5 6 8 8 5 4 5 2 0 7 8 2 4 6 5 6 9 9 3 7 1 5 5 7 •34 502 2 9 7 4 4 71 0 6 0 6 9 1 0 5 5 0 8 2 7 5 0 3 7 5 6 4 5 0 6 7 6 3 51 5 2 8 3 1 6 4 7 5 281 422
"S 11 5 8 4 : 8 7 8 5 3 1 7 9 7 4 8 5 7 2 9 4 3 3 6 5 1 -331 4 9 7 , 2 9 8 4 4 7 2 6 4 3 9 7. 3 1 2 5 6 2 ' 8 4 4 5 1 0 7 6 7 4 6 6 7 0 1 " 416- 6 2 6 . •10 4 6 5 2 7 9 4 1 9 2 4 7 3 71E 1 3 5 3 8 - 8 0 9 4 8 9 7 3 5 4 4 6 671 3 9 8 5 9 9 { 2 8 8 4 3 3 , 2 5 9 3 9 0 2 2 9 3 4 5m 1 4 5 1 4 ' 7 7 2 4 6 7 701 4 2 6 6 4 0 3 8 0 571 267 401 2 4 0 3 6 0 2 1 2 3 1 8is
1 5 4 8 9 ' 7 3 5 4 4 4 6 6 7 4 0 5 6 0 8 361 5 4 3 - .246 369 221 331 1 9 4 2 9 2s 16 464^. 697 4 2 1 6 3 3 3 8 4 5 7 7 3 4 2 5 1 4 '2 2 5 3 3 8 2 0 2 3 0 3 1 7 7 2 6 7a 1 7 4 3 8 , 6 5 9 3 9 8 5 9 8 3 6 2 544 3 2 3 4 8 5 2 0 5 3 0 8 ; 1 8 3 2 7 6 161 242
S 1 8 4 1 3 6 2 0 3 7 5 5 6 3 3 4 1 5 1 2 3 0 4 4 5 6 1 8 5 2 7 8 r1 66 2 4 9 1 4 5 2 1 81 9 3 8 7 5 8 2 3 5 2 529 3 2 0 4 8 0 2 8 5 4 28 1 6 6 2 5 0 M>49 2 2 4 1 3 0 1 9 6
S3 2 0 3 6 2 5 4 5 '3 2 9 4 9 5 2 9 9 4 4 9 2 6 6 3 9 9 1 5 0 2 2 6 2 0 2 11 7 1 7 7
g 2 2 3 1 4 . 4 7 2 2 8 5 4 2 8 2 5 8 3 8 8 2 2 9 3 4 5 - 1 2 4 , 1 8 6 •11 1 6 7 97 .1 1 4 62 4 26 7 - 4 0 2 2 4 3 3 6 5 2 1 9 3 3 0 1 9 5 293- 1 0 4 1 5 7 •3 .2 140 81 ,6 123
j j 2 6 3 4 3 . 2 0 7 3 11 1 8 7 2 8 1 1 6 6 2 4 9 8 8 . 8 1 3 3 •9.4 11 9 6 9 . 5 1 0 4s 2 8 2 9 5 1 7 9 2 6 8 1 6 1 2 4 2 1 4 3 2 1 5 . 76 .6 11 5 6 8 : 5 1 0 3 5 9 , 9 90.1
J 30 171 • 257 .156 ' 234 1 4 0 211 1 2 5 ' 1 8 7 6 6 .7 1 0 0 .59 .7 8 9 . 7 S2'.2 7 8 . 5
1 3 2 150'- 2 2 6 . 1 3 7 2 0 5 1 2 3 1 8 5 • 11 0 1 6 5 S8 .6 88.13 4 133<, 200 1Z1 182 1 0 9 1 6 4 9 7 . 0 1 4 6 ;
S 3 6 l i 9 v 17 9 1 0 8 1 6 2 9 7 . 5 1 4 7 8 6 . 5 1 3 0 , H
3 8 1 07 - 1 6 0 9 6 .9 1 4 6 8 7 . 5 131 7 7 . 7 11 7 . 14 0 9 6 . 3 1 4 5 8 7 . 5 1 3 1 7 9 . 0 11 9 7 0 . r 1 0 5 • 1' ;
P rope r t i e s
Pwo. kips 1 2 3 1 8 5 1 0 4 1 5 5 9 0 . 6 1 3 6 7 7 . 5 116 '77 .1 116 6 7 4 1 01 5 6 a 8 5 ,4
Puii, k ips/in. 1 7 .0 2 5 . 5 1 5 0 2 2 .5 1 3 . 8 20 .8 1 2 . 5 ; 18 .8 1 2 3 1 8 .5 1 1 3 1 7 .0 1 0 . 2 , 15 ,3
Pwb, kips 201 302 138- 2 0 7 1 0 8 1 6 3 8 0 J , 1 2 0 7 6 7 11 5 59 5 8 9 . 5 43 .0 , 64 ,7
Pfb. k ips 1 3 7 2 0 6 11 5 1 7 3 97^0 1 4 6 irm 1 1 7 8 l 5 1 2 3 6 6 2 9 9 .6 5 2 . 6 ;79 ,0
Lp,n 8 . 7 6 8 . 7 6 8 . 6 9 8 . 6 5 6 . 7 8 6 . 7 5 6 , 6 8
/.r,ft ; 33 .2 31 .0 29 .3 27 .5 22 .3 21 .1 20 .0
AgM? 24 .0 2 1 . 8 2 0 . 0 1 7 . 9 15 .6 14 .1 12 .6
/.•n." 881 7 9 5 7 2 2 6 4 0 5 41 4 8 4 4 2 8/y, in." 1 4 8 1 3 4 1 2 1 1 0 7 5 7 . 7 5 1 . 4 4 5 . 2r,, i n . 2 .48 2 .48 2 .46 2 .45 1 .92 1 .91 1 . 8 9r./ry 2 . 4 4 2 .44 2 .44 2 .44 3 ,07 3 .06 3 ,08
2 5 2 0 0 2 28 0 0 2 0 7 0 0 1 8 3 0 0 1 5 5 0 0 1 3 9 0 0 1 2 3 0 04 2 4 0 3 8 4 0 3 4 6 0 3 0 6 0 1 6 5 0 1 4 7 0 1 2 9 0
A S D
£ l c = 1 . 6 7
LRFD
(])<;= 0. 90
' Shape is s lender for compression w ith F y= 50 l«i .Note: Heavy line indicates equal to or greater than 200 .
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S T E E L C O M P R E S S I O N - M E M B E R S E L EC T I ON T A B L E S 4 - 1 7
Fy = 50 ksi
Table 4-1 continued)Available Strength in
Axial Compression, kipsW-Shapes W 1 2
Shape W 1 2 X
Ib/tt 3 3 6 3 0 5 2 7 9 2 5 2 '' 2 3 0 2 1 0
Designp„iao W PnlOc <t>cP i PnlQc <kP« fli flc M Pniac PnlClc M
DesignA S D LRFD A S D LRFD A S D LRFD A S D LRFD A S D LRFD A S D LRFD
0 2960 4450 2680 4030 2 4 5 0 3690 .2220 3330 2030 3050 1 8 5 0 2780
6 2870 4 3 1 0 2590 3900 .2370 3570 2 1 4 0 3220 1 9 6 0 2940 1 7 9 0 2680
7 2840 4260 2560 3850 2 3 4 0 3520 2 1 2 0 3 1 8 0 1 9 3 0 2 9 1 0 1 7 6 0 26508 2800 4 2 1 0 2530 3800 23- 10 • 3470 2090 3 1 4 0 1 9 1 0 - 2860 1 7 4 0 2 6 1 09 2760 4 1 5 0 2490 3740 2280 3420 2060 3090 1 8 8 0 2820 1 7 1 0 2570
cn 1 0 2 7 1 0 4080 2450 3680 2240 3360 2020 3030 1 8 4 0 2770 1 6 8 0 2520
1 1 2660 4000 2400 3 6 1 0 2 1 9 0 3300 1 9 8 0 2970 1 8 0 0 2 7 1 0 1 6 4 0 24701 2 2 6 1 0 3920 2350 < 3540 2 1 5 0 3230 1 9 4 0 2 9 1 0 1 7 6 0 2650 1 6 1 0 2420
1 , 1 3 2550 3840 2300 3460 2 1 0 0 3 1 5 0 1 8 9 0 2840 1 7 2 0 2590 1 5 7 0 2360m 1 4 2490 3750 2250 : 3380 2050 3080 1 8 4 0 2770 1 6 8 0 2520 1 5 3 0 2300
a1 5 2430 3660 2 1 9 0 ' 3290 1 9 9 0 3000 1 7 9 0 2700 1 6 3 0 ' 2450 1 4 8 0 2230
a1 6 2 3 7 0 3560 2 1 3 0 3200 1 9 4 0 2 9 1 0 1 7 4 0 2620 1 5 8 0 2380 1 4 4 0 2 1 6 0
1 1 7 2300 3460 2070 3 1 0 0 1 8 8 0 2820 1 6 9 0 2540 1 5 4 0 2 3 1 0 1 3 9 0 2 1 0 01 8 2230 3350 2000' 3 0 1 0 1 8 2 0 - 2730 1 6 3 0 2460 1 4 8 0 2230 1 3 5 0 2030
g 1 9 2 1 6 0 3250 1 9 4 0 2 9 1 0 1 7 6 0 2640 1 5 8 0 2370 1 4 3 0 2 1 5 0 1 3 0 0 1 9 5 01 2 0 ? 0 9 0 3 1 4 0 1 8 7 0 ' 2 8 1 0 1 7 0 0 2550 1 5 2 0 2290 1 3 8 0 2070 1 2 5 0 1 8 8 0
g 2 2 1 9 4 0 2 9 1 0 1 7 3 0 2 6 1 0 1 5 7 0 2360 1 4 1 0 2 11 0 1270- 1 9 10 1 1 50 1 7 30i 2 4 1 7 9 0 2690 1 6 0 0 2400 1 4 4 0 2 1 7 0 1 2 9 0 1 9 4 0 11 7 0 1 7 5 0 1 0 5 0 1 5 8 0
2 6 1 ^ 0 2460 1 4 6 0 2 1 9 0 1 3 2 0 1 9 8 0 11 7 0 1 7 6 0 1 0 6 0 1 5 9 0 9 5 5 1 4 4 0f , 2 8 1 4 9 0 ' 2240 1 3 2 0 1 9 9 0 ' 11 9 0 ^ 1 7 9 0 1 0 6 0 1 5 9 0 9 5 4 1 4 3 0 8 5 9 1 2 9 0J 3 0 1 3 5 0 " 2030 11 9 0 1 7 9 0 1 0 7 0 1 6 1 0 9 4 9 1 4 3 0 8 5 4 1 2 8 0 7 6 7 1 1 5 0
. 1 3 2 1 2 1 0 ' 1 8 2 0 1 0 7 0 ' 1 6 0 0 9 5 4 1 4 3 0 8 4 3 1 2 7 0 7 5 6 11 4 0 6 7 8 1 0 2 03 4 1080* 1 6 2 0 9 4 5 - 1 4 2 0 8 4 5 1 2 7 0 7 4 6 ' 11 2 0 6 7 0 ~ 1 0 1 0 6 0 0 9 0 2
£ 3 6 9 5 9 1 4 4 0 8 4 3 1 2 7 0 7 5 4 11 3 0 6 6 6 • 1 0 0 0 5 9 7 8 9 8 ' 5 3 5 8 0 53 8 8 6 t ' 1 2 9 0 7 S 7 , 11 4 0 6 7 6 " 1 0 2 0 5 9 8 ' 8 9 8 5 3 6 8 0 6 481, 722
4 0 7 7 7 1 1 7 0 6 8 3 - 1 0 3 0 6 1 0 9 1 7 5 3 9 8 11 4 8 4 7 2 7 4 3 4 6 5 2
Properties
Pm, kipsPtfi, kips/in.Pytb, kips/'ft, kips
I... ft
1 0 5 05 9 . 3
100001 6 4 0
1 5 8 08 9 . 0
1 5 1 0 02460
1 2 . 31 5 0
8 9 75 4 . 3
7 6 9 01 3 7 0
1 3 4 0B 1 . 5
11600
2070
1 2 1
1 3 7
7 8 35 1 0638011 4 0
11 7 07 6 , 595901 7 2 0
11 . 9126
6 6 54 6 . 748709 4 7
9 9 87 0 . 073201 4 2 0
1 1 . 8
11 4
5 7 44 3 . 03 8 1 0802
861
6 4 . 557301210
11 . 71 0 5
492=3 9 ; 329306 7 6
7 3 85 9 . 044001 0 2 0
11 6
9 5 . 8
AgM}L in."ly, in."fy, in.rxiryPexiKLflW. k- in.2Ps y iK tf /W, k-in.2
9 8 . 9406011 9 0
3 . 4 71 . 8 5
11634100
8 9 , 535501 0 5 0
3 , 4 21 , 8 4
10200030100
8 1 . 93 11 0
9 3 73 . 3 81.82
8900026800
7 4 . 12720
8 2 83 . 3 41.81
7790023700
6 7 . 72420
7 4 23 . 3 11 8 0
69300212
6 1 . 8
2 1 4 06 6 4
3 . 2 81.80
6130019000
. A S D
0 ^ = 1 . 6 7
LRFD
(t)c=0,90
'' Flange thickness is greater tlian 2 in. Special requirements may apply per AiSCSpecification Section A3.1c,
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4 - 1 8 D E S I G N O F C X ) MP R E S S I O N M E M B E R S
Table 4-1 continued)Available Strength in a _ c n I r o i
Axial Compression, kipsr y - w i v o .
W 1 2 W-ShapesShape W 1 2 x
lb/ft 1 9 0 1 7 0 1 5 2 1 3 6 1 2 0 1 0 6
PnlCic M PalCic ^Pi, « p„iac Dcfl, PnlClc <\ /cPn nlCic
AStTf LRFD A S D LRFD A S D LRFD A S D . . LRFD A S D LRFD A S D LRFD
0 1 6 8 0 2520 1 5 0 0 2250 1 3 4 0 2 0 1 0 1 1 9 0 1 8 0 0 1 0 5 0 1 5 8 0 9 3 4 1 4 0 0
6 1 6 2 0 - 2430 1 4 4 0 2 1 7 0 1 2 9 0 1 9 4 0 1 1 5 0 1 7 3 0 1 0 1 0 1 5 2 0 8 9 8 1 3 5 0
7 1 6 0 0 2400 1 4 2 0 2 1 4 0 1 2 7 0 1 9 1 0 11 3 0 1 7 1 0 1 0 0 0 -1 5 0 0 8 8 6 1 3 3 0g 8 1 5 7 0 2360 1400- 2 11 0 1 2 5 0 1 8 8 0 1 1 2 0 1 6 8 0 9 8 4 i 1 4 8 0 8 7 1 1 3 1 0
s ' 9 1 5 5 0 2320 1 3 8 0 2070 1 2 3 0 1 8 5 0 11 0 0 " 1 6 5 0 9 6 6 1 4 5 0 8 5 5 1 2 9 0
OI 1 0 1 5 2 0 2280 1 3 5 0 2030 1 2 1 0 1 8 1 0 1 0 8 0 1 6 2 0 9 4 7 1 4 2 0 " 8 3 8 1 2 6 0• 11 1 4 9 0 2230 1 3 2 0 1 9 9 0 11 8 0 1 7 7 0 1 0 5 0 1 5 8 0 9 2 5 .1 3 9 0 . - 8 1 9 1 ^ 3 0• 1 2 1 4 5 0 2 1 8 0 1 2 9 0 1 9 4 0 11 5 0 1 7 3 0 1 0 3 0 1 5 4 0 9 0 3 1 3 6 0 - 7 9 9 1 2 0 0
2 1 3 1 4 2 0 2 1 3 0 1 2 6 0 ' 1 9 0 0 1120 , 1 6 9 0 1 0 0 0 1 5 0 0 8 7 9 .1 3 2 0 a i r 11 7 0
S 1 4 1 3 8 0 2070 1 2 3 0 1 8 4 0 1 0 9 0 1 6 4 0 9 7 2 •460 8 5 4 = ; 1 2 8 0 : 7 5 5 11 3 0jU 1 5 1 3 4 0 - 2 0 1 0 1 1 9 0 1 7 9 0 1 0 6 0 1 5 9 0 9 4 2 1 4 2 0 fe • 1 2 4 0 7 3 1 11 0 0i
1 6 1 3 0 0 1 9 5 0 1 1 5 0 1 7 3 0 1 0 3 0 1 5 4 0 9 1 2 1 3 7 0 8 0 0 - 1 2 0 0 7 0 7 1 0 6 0
s . 1 7 1 2 6 0 1 8 9 0 1 1 2 0 1 6 8 0 9 9 2 . 1 4 9 0 8 8 1 1 3 2 0 - 7 7 3 - 11 6 0 - 6 8 2 1 0 3 0« 1 8 1 2 1 . 0 1 8 2 0 1080. . 1 6 2 0 . 9 5 7 , 1 4 4 0 8 4 9 •280 7 4 4 ; ' 1 1 2 0 6 5 ? " 9 8 7
x : 1 9 11 7 0 1 7 6 0 1 0 4 0 •560 9 2 1 1 3 8 0 8 1 6 1 2 3 0 715-^ 1 0 7 0 . 6 3 1 . 9 4 8
2 0 11 3 0 1 6 9 0 9 9 7 , 1 5 0 0 8 8 5 , 1 3 3 0 7 8 4 11 8 0 6 8 1 . 1 0 3 0 v 6 0 f 9 0 8
g 2 2 1 0 3 0 1 5 6 0 9 , 1 6 , 1 3 8 0 8 11 . 1 2 2 0 t n 1080 6 '26- 9 4 2 - 552' 8 2 9
e i 2 4 9 4 4 1 4 2 0 8 3 4 1 2 5 0 7 3 7 111 0 6 5 1 ' r• 7 8 5 6 7 8 5 3 1 4 9 9 7 5 0
2 6 8 5 5 1 2 8 0 7 5 4 11 3 0 6 6 5 9 9 9 5801- 8 80 5 10 7 6 6 , •48 6 7 3
a 2 8 7 6 7 1 1 5 0 6 7 5 1 0 1 0 5 9 5 8 9 4 5 2 3 7 8 6 ' 4 5 4 ' 6 8 2 ^ 3 9 8 5 9 8c
£ 3 0 6 8 4 ' 1 0 3 0 •00- 9 0 2 5 2 7 7 9 3 4 6 2 6 9 5 4 0 0 , 6 0 1 , 3 5 0 5 2 6
i 3 2 6 0 3 - 9 0 6 5 2 8 - 7 9 4 4 6 4 ' 6 9 7 4 0 6 6 1 0 35} 5 2 8 4 6 2
"1 3 4 5 3 4 8 0 3 4 6 8 704 411- , 6 1 7 3 6 0 . 5 4 1 3,13 ^ 4 6 8 , 2 7 2 4 1 0
E 3 6 476? , 7 1 6 4 1 8 ; 6 2 8 •66 5 5 1 3 2 1 ' 4 8 2 , 2 7 8 4 1 7 . , 2 4 3 3 6 5
3 8 4 2 8 6 4 3 3 7 5 5 6 3 3 2 9 . 4 9 4 2 8 8 . 4 3 3 2 4 9 3 7 5 , • 1 8 3 2 8
4 0 3 8 6 5 8 0 3 3 8 5 0 8 2 9 7 - 4 4 6 2 6 0 3 9 1 2 2 5 3 3 8 1 9 7 2 9 6
Properties
Pwn. kiOS 4 1 2 6 1 7 3 4 6 5 1 8 2 9 0 ' 4 3 5 2 4 4 3 6 5 2 0 1 3 0 2 1 6 2 2 4 2
Pm, kips/in. 3 5 . 3 ; 5 3 . 0 3 2 . 0 4 8 . 0 2 9 . 0 4 3 . 5 2 6 . 3 3 9 . 5 2 3 . 7 3 5 . 5 2 0 . 3 • 3 0 . 5
Pwh. kips 2 1 2 0 3 1 9 0 1 5 8 0 2370 .1170' 1 7 6 0 8 7 8 1 3 2 0 6 3 7 9 5 7 4 0 5 . 6 0 9
Pft,klps ,567;- 8 5 2 4 5 5 6 8 4 3 6 7 ' 5 5 1 2 9 2 4 3 9 •31i. 3 4 7 1 8 3 2 7 6
i f , f t 11 . 5 11 . 4 11 . 3 11 . 2 11 . 1 11 . 0
i r. f t 8 7 . 3 7 8 . 5 7 0 . 6 6 3 . 2 5 6 . 5 5 0 . 7
Ag, in . ' 5 6 . 0 5 0 . 0 4 4 . 7 3 9 . 9 3 5 . 2 3 1 . 2
/x, in." 1 8 9 0 1 6 5 0 1 4 3 0 1 2 4 0 1 0 7 0 9 3 3
ly, in." 5 8 9 5 1 7 4 5 4 3 9 8 3 4 5 3 0 1
/y, in. 3 . 2 5 3 . 2 2 3 . 1 9 3 . 1 6 3 . 1 3 3 . 11
rtlrv 1 . 7 9 1 . 7 81 . 7 7 1 . 7 7 1 . 7 6 1 . 7 6
54100 47200 40900 35500 30600 26700
Pey{KL)yW, k- in.2 16900 14800 13000 11 4 0 0 9870 : 8620
LRFD
1.67 it)c=0.90
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S T E E L C O M P R E S S I O N - M E M B E R S E L E C T I O N T A B L E S 4 - 1 9
Table 4-1 (continued)
tr _ c n Available Strength in
Axial Compression, kipsW-Shapes w12
S h a p e W 1 2 x
lb / f t 96 87 79 72 65
np^ionPn/Qc PnlUc Pnl^c fcPn PJ^c fcPn
ucaiyiiA S D L R F D A S D t R F O A S D ; L R F D A S D ' L R F D A S D L R F D
0 844 1 2 7 0 7 6 6 11 5 0 6 9 5 ; 1 0 4 0 6 3 2 9 4 9 5 7 2 8 5 9
6 8 11 1 2 2 0 7 3 6 ; 11 10 66 7 i. 1 0 0 0 6 0 6 9 11 549 8 2 57 8 0 0 1 2 0 0 .- 7 2 6 : 1 0 9 0 6 5 7 ; •9 8 8 5 9 7 ' 8 9 8 5 4 0 8 1 28 7 8 7 1.180 < 7 1 4 ; 1 0 7 0 P:646 , 971 5 8 7 . 8 8 3 5 3 1 7 9 8
S 9 7 7 2 11 6 0 i 7 0 0 : - 1 0 5 0 ' 6 3 4 9 5 3 5 7 6 8 6 6 521 7 8 3w 10 756 . . 1140 :®85 i 1 0 3 0 6 2 0 i 9 3 2 5 6 4 8 4 7 S 1 0 ' 7 6 6o 11 7 3 9 111 0 6 7 0 1 0 1 0 6 0 6 ^ 9 1 0 5 5 0 . 8 2 7 4 9 7 7 4 7•i 1 2 7 2 0 1 0 8 0 6 5 3 9 8 1 - 5 9 0 : ; 8 8 7 5 3 6 - 8 0 6 4 8 4 7 2 8s 1 3 7 0 1 1 0 5 0 •6 3 5 . 9 5 4 5 7 4 : 8 6 2 5 2 1 •7 8 3 4 7 0 7 0 7
1 4 . 6 8 0 1 0 2 0 6 1 6 9 2 5 5 5 6 • 8 3 6 5 0 5 7 5 9 4 5 6 6 8 51 5 6 5 9 . 9 9 0 5 9 6 8 9 6 5 3 8 ' 8 0 9 4 8 9 7 3 5 '441 6 6 3
1 6 6 3 7 • 9 5 7 5 7 6 • 8 6 5 5 20 78 1 '4 72 7 0 9 4 2 6 6 40
OJ 1 7 6 1 4 9 2 3 5 5 5 8 3 4 5 0 1 7 5 3 4 5 5 6 8 3 4 1 0 6 1 6s 1 8 5 9 1 8 8 8 5 3 4 8 0 2 , .4 8 1 7 2 3 4 3 7 6 5 6 3 9 3 591
19 567 ' • 5 2 5 1 2 7 7 0 4 6 2 ' 6 9 4 4 1 9 6 2 9 • 7 7 5 6 720 543 ,' 8 1 6 4 9 0 7 3 7 4 4 2 6 6 4 4 0 1 6 0 2 3 6 0 5 4 2
g 2 2 4 9 5 7 4 4 • MS 671 4 0 2 6 0 4 3 6 4 5 4 7 3 2 7 4 9 22 4 447 6 7 2 4 0 3 6 0 5 3 6 2 5 4 4 3 2 8 4 9 3 2 9 4 4 4 22 6 401 6 0 2 3 6 0 5 41 3 2 3 4 8 6 2 9 2 4 4 0 . 2 6 2 3 9 4
OI 2 8 3 5 6 5 3 5 3 1 9 4 8 0 2 8 6 , 4 3 0 2 5 9 389 •31 348M 3 0 3 1 2 4 6 9 280 ' 4 2 1 2 5 0 ' 3 7 6 2 2 6 3 4 0 2 0 2 3 0 4
s. 3 2 2 7 4 4 1 3 2 4 6 3 7 0 2 2 0 3 31 . 1 9 9 2 9 9 . 1 7 8 2 6 7g 3 4 2 4 3 3 6 5 2 1 8 3 2 7 195 293 .176 • . 265 1 5 7 2 3 6
E 3 6 2 1 7 . 3 2 6 1 9 4 2 9 2 1 7 4 • 261 1 5 7 2 3 6 1 4 0 2113 8 1 9 5 i 2 9 3 1 7 4 2 6 2 1 5 6 2 3 4 1 4 1 2 1 2 .126 1894 0 1 7 6 : 2 6 4 1 5 7 , 2 3 7 1 4 1 2 1 2 1 2 7 ; 1 9 1 W 4 171
Proper t i e s
Pm, kps 1 3 8 2 0 6 1 2 1 1 8 2 1 0 4 1 5 6 9 1 . 0 ; 1 3 7 7 8 . 0 11 7Pwh kps/in. 1 8 3 2 7 . 5 1 7 . 2 2 5 . 8 1 5 . 7 23 .5 1 4 . 3 2 1 . 5 13 .0 ; ; 19 .5
Pvib, Wps 2 9 6 4 4 5 ; 2 4 3 - i 3 6 5 1 8 5 ; 2 7 8 1 4 2 ; 2 1 3 1 0 6 1 5 9Pfekps 1 5 2 2 2 8 1 2 3 i 1 8 5 .. 1 0 1 : 1 5 2 8 4 . 0 1 2 6 6 8 . 5 1 0 3
10 .9 . 10 .8 1 0 . 8 1 0 7 11 . 946 .7 43 .1 39 .9 37 .5 35 .1
2 8 . 2 2 5 . 6 2 3 . 2 2 1 . 1 1 9 . 1t.in. 8 3 3 7 4 0 6 6 2 5 9 7 5 3 3V.in. 2 7 0 2 41 2 1 6 1 9 5 1 7 4fy, in. 3 . 0 9 3 . 0 7 3 . 0 5 3 .04 3 .02rx/ry 1 . 7 6 1 . 7 5 1 . 7 5 1 . 7 5 1 . 7 5 •
2 3 8 0 0 2 T 2 0 0 1 8 9 0 0 1 7 1 0 0 1 5 3 0 07 7 3 0 6 9 0 0 6 1 8 0 5 5 8 0 4 9 8 0 .
• S O L R FD
1.6 7 (i)c = 0.9 0
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4 - 2 0 D E S I G N O F C X ) M P R E S S I O N M E M B E R S
W 1 2
Table 4-1 (continued)Available Strength in
Axial Compression, IcipsW-Shapes
Fy = 50 ksi
S h a p e W 1 2 x
lb / f t 58 5 3 S O 4 5 4 0
P n l ^ c ifcPn P n l ^ c •cPn P fl /fic i/cPn P n l i l c <t)cP« PnlCla
A S D t R F D A S D LRFD ASD LRFD A S O L R F D A S D LRFD
0 5 0 9 7 6 5 . 4 6 7 , 7 0 2 4 3 7 6 5 7 3 9 2 • , 5 8 9 3 5 0 , 5 26
6 4 7 9 7 2 0 4 3 9 . 6 6 0 3 9 6 5 9 5 3 5 5 5 3 4 3 1 7 ' 4 7 6
7 4 6 9 7 0 5 . 4 2 9 6 4 6 3 8 2 5 7 4 3 4 2 5 1 5 3 0 5 ' 4 5 9I 8 - : 45 7 ' 6 8 7 ' 4 1 9 6 2 9 3 6 7 551 . ' 3 2 9 4 9 4 2 9 3 . 4 4 0• 9 4 4 5 6 6 8 4 0 7 6 11 3 5 0 5 2 6 31 3 ' , 471 2 7 9 4 2 0
1 0 U 3 1 6 4 7 3 9 4 5 9 2 3 3 2 5 0 0 297 ' 4 4 7 2 6 5 39 8o 11 - 4 16 6 2 5 3 8 0 5 7 1 3 1 4 4 7 2 ' 281 • 4 2 2 2 5 0 3 7 5.3 1 2 ' 4 0 0 ,6 01 3 6 5 ' 5 4 9 2 9 5 4 4 3 2 6 3 3 9 6 234- ' 352
2 1 3 3 8 4 5 7 7 3 5 0 5 2 6 , 2 7 5 4 1 3 2 4 6 • 3 6 9 .218 3281 4 3 6 7 551 3 3 4 5 0 2 2 5 5 3 8 4 . - 2 2 8 ' 3 4 3 2 0 2 3 0 4
JB
1 5 3 4 9 5 2 5 - 3 1 8 4 7 8 2 3 6 3 5 5 ' 2 1 0 • 3 1 6 1 8 7 281B
1 6 3 3 2 4 9 9 3 0 1 4 5 3 2 1 7 3 2 6 1 9 3 2 9 0 171 , 2 5 7
i . 1 7 3 1 4 . 4 7 2 2 8 5 4 2 8 •98 ' 29 8 ,176 265 1 5 6 2 5 5
« 1 8 2 9 6 , 4 4 5 2 6 8 , ' 4 0 3 1 8 0 2 7 0 ••1 60 • 2 4 0 1 4 2 2 1 31 9 - 2 7 8 4 1 8 • 2 5 2 : 3 7 8 1 6 2 2 4 4 1 4 4 2 1 6 1 2 7 1,91
a .S 2 0 2 6 1 3 9 2 2 3 5 3 5 4 J 4 6 220 130 1 9 5 t 1 5 17 3
g 22 •2 2 7 ,3 4 1 . 204 307 121 1 8 2 1 0 7 • 1 6 1 9 5 . 0 143
d 2 4 . 1 9 4 2 9 2 ^ 1 7 4 2 61 1 0 2 1 5 3 9 0 . 3 . 1 3 6 7 9 . 8 120
26 ., 165 , 249 1 4 8 - 2 2 3 8 6 . 6 1 3 0 7 6 . 9 ' • 1 6 6 8 . 0 , 1 0 2i1
2 8 1 4 3 2 1 4 1 2 8 , 1 9 2 7 4 . 7 11 2 6 6 . 3 9 9 , 7 5 8 . 6 8 8 . 1
1 3 0 1 2 4 1 8 7 111 - 1 6 7 6 5 . 0 9 7 . 8 5 7 . 8 ' . 8 6 , 8 5 1 . 1 7 6 . 8
. 1 3 2 •1 0 9 1 6 4 9 7 . 8 1 4 7 5 7 . 2 8 5 . 9 5 0 . 8 7 6 . 3 4 4 . 9 6 7 . 5
s . 3 4 . 9 6 . 7 • 4 5 : 8 6 . 6 1 3 0E 3 6 8 6 . 3 1 3 0 • 7 . 3 11 6
3 8 7 7 . 4 1 1 6 . 6 9 . 4 1 0 44 0 6 9 . 9 1 0 5 6 2 , 6 94.1
Prope r t i e s
Pwo. kips 7 4 . 4 11 2 6 7 . 9 1 0 2 7 0 . 3 1 0 5 6 0 . 3 9 0 . 5 5 0 . 2 75 .2
Pwi, kips/In. • 2 . 0 1 8 . 0 11 . 5 1 7 . 3 1 2 .3 1 8 . 5 11 . 2 1 6 . 8 9 . 8 3 14 .8
Fwi, kips , :83.1 1 2 5 7 3 . 3 - 11 0 8 8 . 4 : , 1 3 3 6 5 . 6 9 8 . 6 ,44.8 ,67 .4
Pfb, kips 7 6 . 6 11 5 6 1 . 9 9 3 . 0 7 6 . 6 11 5 6 1 . 9 9 3 . 0 4 9 . 6 7 4 .6
io.ft 8 . 8 7 8 . 7 6 6 . 9 2 6 . 8 9 6 .85Lr n 2 9 . 8 2 8 . 2 2 3 . 8 2 2 . 4 2 1 . 1
Ag, in.^ 17 .Q 15 .6 14 .6 13 .1 11 . 7
4 7 5 4 2 5 3 9 1 3 4 8 3 0 7ly. in." 1 0 7 9 5 . 8 5 6 . 3 5 0 . 0 44.1/y, in . 2 .51 2 .48 1 .9 6 1 . 9 5 1 .94rJr. 2 .10 2 .11 2 . 6 4 2 . 6 4 2 .64
1 3 6 0 0 1 2 2 0 0 11 2 0 0 9 9 6 0 8 7 9 03 0 6 0 2 7 4 0 1 6 1 0 1 4 3 0 , 1260
A S O
H e = 1 . 6 7
LRFD Note: Heavy line indicates W./ry equal to or greater than 200.
(tic = 0.90
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S T E E L C O M P R E S S I O N - M E M B E R S E L E CT I O N T A B L E S 4 - 2 1
F y = 5 0 k s i
Table 4-1 continued)Available Strength in
Axial Compression, kipsW-Shapes W 1 0
Shape W l O x
Ib/ft 11 2 1 0 0 8 8 7 7 6 8 6 0
DesignPnl^c i/cPn P„IQc ifcPn 6fcPn IfcPi, PnlClc ^cPn Pniac fef,
DesignA S D LRfD A S D LRFD A S D LRFD A S D LRFD A S D ; LRFD A S D LRFD
0 '9 8 5 1 48 0 - 877- 1 32 0 7 7 8 11 7 0 €80 10 20 5 9 6 i 8 9 5 5 3 0 7 9 6
6 3 3 4 1 4 0 0 -831 1 2 5 0 •37 1 1 1 0 •43 9 6 6 5 6 3 - : 8 4 6 5 0 0 7 5 2
• ^ 7 9 1 7 1 3 8 0 8 1 5 1 2 3 0 ; 7 2 2 1 0 9 0 , 6 3 0 9 4 6 5 5 2 8 2 9 4 9 0 7 3 7g 8 8 9 7 1 3 5 0 7 9 7 1 2 0 0 . 7 0 6 1 0 6 0 . 6 t 5 9 2 5 5 3 9 8 1 0 4 7 9 7 1 91 9 8 7 5 1 3 t 0 7 7 7 11 7 0 6 8 8 1 0 3 0 . £ 9 9 9 0 0 5 2 5 7 8 9 4 6 6 7 0 0g 1 0 , '8 5 1 1 2 8 0 7 5 5 1 13 0- '6 6 9 1 00 0 5 8 2 8 7 4 5 0 9 . 7 6 5 4 5 2 6 7 9ow 1 1 mz 1 2 4 0 7 3 2 11 0 0 6 4 7 9 7 3 5 6 3 8 4 6 4 9 3 - 7 4 1 4 3 7 6 5 7
1 2 ' 7 9 8 1 2 0 0 7 0 7 1 0 6 0 6 2 5 9 4 0 5 4 3 8 1 6 4 7 5 . ' 7 1 4 • 2 1 ' 6 3 32 1 3 7 6 9 1 1 6 0 • 6 8 1 1 0 2 0 : 6 0 2 9 0 5 . ' 5 2 2 7 8 5 4 5 7 . 6 8 7 4 0 5 6 0 8V, 1 4 7 3 9 111 0 '654 9 8 3 5 7 8 8 6 8 •OT 7 5 3 •38' 6 5 8 3 8 8 5 8 3s 1 5 ' 7 0 8 1 0 6 0 6 2 6 9 4 1 5 5 3 8 3 1 4 7 9 7 2 0 4 1 9 6 2 9 3 7 0 5 5 6£•3 1 6 . 5 7 7 1 0 2 0 5 9 8 8 9 8 5 2 7 7 9 2 •56 6 8 6 3 9 9 5 9 9 •3 5 2 5 3 0
S . IT 6 4 5 9 6 9 5 6 9 ; 8 5 5 5 0 1 7 5 4 4 3 3 6 5 1 3 7 9 5 6 9 3 3 4 5 0 203
5>1 8 6 T 3 92 1 5 4 0 • 8 11 4 7 5 7 1 4 4 1 0 6 1 7 3 5 8 5 3 9 3 1 6 4 7 51 9 . 5 8 0 8 7 2 5 1 1 - 7 6 7 4 4 9 6 7 5 3 8 7 5 8 2 3 3 8 5 0 8 2 9 8 4 4 8
1 2 0 5 4 8 8 2 4 '4 8 2 7 2 4 4 2 3 6 3 6 3 6 5 5 48 3 1 8 4 7 8 2 8 0 421
g 2 2 ••85 7 2 8 ' 4 2 5 6 3 8 3 7 3 5 6 0 3 2 0 4 8 1 2 7 9 4 1 9 , 245; 368. 2 4 ^423 6 3 6 3 7 0 5 5 6 , 3 2 4 4 8 7 . 2 7 7 4 1 7 2 4 V . 3 6 3 2 1 2 3 1 8
2 6 3 6 5 5 4 8 3 1 8 4 7 8 2 7 8 4 1 7 2 3 7 3 5 6 2 0 6 ' 3 1 0 1 8 1 2 7 12 8 3 1 5 4 7 3 •74 4 1 2 ; 2 3 9 3 6 0 ' 2 0 4 3 0 7 1 7 8 2 6 7 1 5 6 2 3 43 0 . 2 7 4 4 1 2 23 9 3 5 9 , •09 3 1 3 • 7 8 2 6 7 1 5 5 2 3 3 1 3 ^ 2 0 4
. 1 3 2 2 4 1 3 6 2 ' 2 1 0 3 1 5 1 8 3 2 7 6 1 5 6 2 3 5 ' 1 3 6 . 2 0 5 • 1 9 1 7 9» 3 4 2 1 3 " 3 2 1 1 8 6 2 7 9 1 6 2 2 4 4 1-39 208 1121.. 1 8 1 1 0 6 1 5 9
3 6 1 9 0 2 8 6 1 6 6 2 4 9 1 4 5 2 1 8 1 2 4 1 8 6 1 0 8 1 6 2 9 4 . 2 1 4 23 8 1 7 1 2 5 7 '1 4 9 2 2 4 1 3 0 1 9 5 111 1 6 7 9 6 . 5 1 4 5 . 8 4 . 5 1 2 7
4 0 1 5 4 2 3 2 •34 2 0 2 11 7 1 7 6 . 1 0 0 1 5 0 8 7 .1 1 31 7 6 . 3 11 5
Properties
Pm,, kipsPm, kips/in.
Pfb. kips
i r. f t
2202 5 29 4 9
•92
3 3 03 7 , 81 4 3 04 3 9
9 . 4 76 4 . 1
1 8 42 2 . 76 9 0"235
2 7 53 4 . 01 0 4 03 5 3
9 . 3 65 7 . 9
1 5 02 0 24 8 71 8 3
2 2 53 0 . 37 3 22 7 6
9 . 2 95 1 . 2
121
1 7 . 7- 3 2 81 4 2
1 8 22 6 . 54 9 42 1 3
9 . 1 84 5 . 3
9 9 . 51 5 . 72 2 9111
1 4 92 3 . 53 4 41 6 7
9 . 1 54 0 . 6
82 6i
1 4 . 01 6 J :8 6 . 5
1 2 421.02 4 51 3 0
9 . 0 83 6 . 6
in.^
'y.in."fy , i n . 'rxiry
k- in.2Pey KLflWMr^}
m r m 7
3 2 . 97 1 62 3 6
2 . 6 8
1 . 7 420500
6750
2 9 . 36 2 32 0 7
2 . 6 51 . 7 4
178005920
26 0
5 3 41 7 9
2 . 6 31 . 7 3
153005 1 2 0
2 2 . 74 5 51 5 4
2.601 . 7 3
130004 4 1 0
1 9 . 93 9 41 3 4
2 . 5 91 . 7 1
11 3 0 03840
1 7 . 73 4 1116
2 . 5 71 .71
97603320
£5^=1.67
LBFO
c = 0 . 9 0
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4 - 2 2 D E S I G N O F C O M P R E S S I O N M E M B E R S
W 1 0
Table 4-1 (continued)Available Strength in
Axial Compression, kipsW-Shapes
F y 50 ksi
W l O x
lb/ft 5 4 4 9 4 5 3 9 3 3
Pn/ i lc M Pn Cic fli/iic t'c/'n <t>c''nDes ign
A S D L R F D A S D LRFD ASD LRFD LRFD A S D LRFD
0 4 7 3 7 11 6 4 8 3 9 8 5 9 8 3 4 4 5 1 7 S293 4 3 7
6 4 '46 - 4 671 4 07 • 61 1 . •3 6 S ' 5 4 5 ' , 3 1 3 4 7 0 ' 5 6 3 , 3 9 5
7 437- 6 5 7 • 9 8 5 9 8 5 2 7 ••0 2 ' 4 5 4 2 5 3 • 3 8 1g 8 4 2 7 .- 6 4 2 5 8 8 5 8 4 3 3 7 5 0 7 2 9 0 4 3 6 5 4 3 3 6 5
2 • 9 4 1 5 6 2 4 3 7 5 5 6 8 . ' 3 2 2 ' 4 8 5 2 7 7 4 1 6 • 3 2 3 4 8
s 1 0 403 ' 6 0 5 3 6 6 55 0 =V.307 . 4 6 1 2 6 3 . 3 9 6 • 2 0 : 3 3 0
"S 11 389 ' 5 8 5 3 5 4 5 3 2 . . 2 9 1 4 3 7 2 4 9 3 7 4 . 0 3 7 , 311.3 1 2 3 7 5 . - ^ 5 6 4 3 4 1 5 1 2 " . • 7 4 411 2 3 4 3 5 2 : m • 2 9 2
S 1 3 361 5 4 2 3 2 7 4 9 2 ' 256 3 8 5 2 1 9 32 9 •81 ' 2 7 2
IS 14 345= 5 1 9 3 1 3 . 4 7 1 ; 2 3 9 - 3 5 9 • 0 3 3 0 6 - 1 6 8 , 2 5 3
» 1 5 330 ' 4 9 5 2 9 9 • 4 4 9 2 2 2 3 3 3 1 8 8 2 8 3 4 1 5 5 2 3 3
s 1 6 3 1 4 . 471 28 4 , 4 2 7 V, 2 0 4 3 0 7 1 7 3 . 2 6 0 2 1 4« 17 29 7- • 4 47 . 2 69 ' 4 0 4 1 8 8 2 8 2 ; 1 5 8 2 3 8 .130 1 9 5m 1 8 2 8 1 4 2 2 2 5 4 3 8 2 171 2 5 7 = 1 4 4 • 1 7 « 7 / 1 7 7
c 1 9 2 6 5 : - 398 •39 3 6 0 • 5 5 2 3 4 1 3 0 1.96 159
2 0 2 4 9 " 3 7 4 2 2 4 ' 33 7 ••1 4 0 - 2 11 • 11 « . 177 <95 .4 143
B 2 2 2 1 7 3 2 7 1 9 6 2 9 4 11 6 174 97 .2 1 4 6 11 8
f j 2 4 1 8 8 . • 2 8 2 1 6 8 2 5 3 9 7 . 4 1 4 6 8 1 . 7 1 2 3 m.2 9 9 , 5^
26 160 . 2 4 0 1 4 3 2 1 6 8 3 . 0 1 2 5 6 9 . 6 . '105 5 6 . 4 8 4 . 8
Ml 2 8 1 3 8 2 0 7 m- 1 8 6 7 1 , 5 1 0 8 6 0 . 0 9 0 . 2 4 8 . 7 7 3 ,1
M 3 0 120 ' 1 8 0 .108 • 162 •62 ,3 . 93 .7 52 .3 78 .6 , 42 ,4 63 .7
s 3 2 - l o e r . 1 5 9 f 4 . 7 1 42 r 5 4 , 8 8 2 . 3 , 4 6 . 0 69 .1 3 7 . 3 5 6 . 0
1 34 93.5". 1 4 1 B 3 . 9 ' 1 2 6 - f
£ 36 83.sf 1 2 5 7 4 . 8 . 11 2
3 8 7 4 . 8 11 2 6 7 . 2 101 i« . y
4 0 67 .6 . 1 0 2 6 0 . 6 91 .1
P r o p e r t i e s
Pwn. kiDS 69.1 1 04 6 o ;i • 9 0.1 ' 6 5 ,3 9 8 . 0 • 4 : i 8 1 .1 4 5 , 2 6 7 . 8
Pwi. kiDS/in. 1 2 . 3 18 .5 17 .0 : i i , 7 1 7 . 5 1 0 . 5 1 5 . 8 9 , 6 7 14 ,5
Pvib, k ips 11 2 ' , 1 6 8 8 6 . 6 1 3 0 m . 2 142 , 6 8 7 1 0 3 5 3 , 7 8 0 , 7
Pfb. kips 7 0 . 8 1 0 6 '58;7 8 8 . 2 .•71 ,9 1 0 8 5 2 . 6 7 9 . 0 3 5 , 4 5 3 , 2
t p . f t 9 . 0 4 8 . 9 7 7 . 1 0 6 . 9 9 6 , 8 5
i r . f t 3 3 . 6 3 1 . 6 26 ,9 2 4 . 2 2 1 , 8
Ag , in.2 1 5 . 8 14 .4 13 ,3 11 . 5 9 ,71
Ix , in." 3 0 3 2 7 2 2 4 8 2 0 9 1 7 1ly , in." 1 0 3 9 3 . 4 5 3 . 4 4 5 . 0 3 6 , 6
Cy, in. 2 . 5 6 2 . 5 4 2 .01 1 .98 1 ,94
hlh 1.71 1 .71 2 . 1 5 2 , 1 6 2 , 1 6
8 6 7 0 7 7 9 0 7 1 0 0 5 9 8 0 4 8 9 0Pey{KLfm\ k-in. 2 9 5 0 2 6 7 0 1 5 3 0 1 2 9 0 . 1 0 5 0
AS ' ) LRFD Note: Heavy line indicates KLUy equal to or g reater ttian 2 00.
a c = 1 .67 0 ,90
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S T E E L C O M P R E S S I O N - M E M B E R S E L E C T I O N T A B L E S 4 - 2 3
F y = 50 ksi
Table 4-1 (continued)Available Strength in
Axial Compressioh, kipsW-Shapes W 8
S h a p e W 8 x
lb/ f t 6 7 5 8 4 8 4 0 3 5 3 1
W Pn/Clc M PnlClc Pn'no Pn'iic ^Pn •cfl,
AiSD L R F D A S D LRFD A S D L RF D A S D . L R F D A S D LRFD A S D LRFD
0 5 9 0 8 8 6 5 1 2 7 6 9 4 2 2 ; 6 3 4 350 526 308=- 4 6 3 2 7 3 4 11
6 5 4 2 8 1 5 4 7 0 ' " 7 0 6 - 3 8 7 5 8 1 3 2 0 4 8 1 281'^ 4 2 3 2 4 9 3 7 4g " 7 5 2 6 7 9 0 4 5 S 6 8 5 3 7 5 5 6 3 3 0 9 4 6 5 2 7 2 " 4 0 9 2 4 1 3 6 2
f 8 5 0 8 7 6 3 4 3 9 ' 6 6 0 361 5 4 3 2 9 8 4 4 8 2 6 2 3 9 4 2 3 2 3 4 89 4 8 8 7 3 3 4 2 2 . 6 3 4 3 4 7 521 2'85 4 2 9 251., ' 3 7 7 2 2 2 3 3 3
• 1 0 4 6 7 70 1 4 0 3 6 0 6 331 4 9 7 2 7 2 4 0 9 2 3 9 3 5 9 2 11 3 1 7
. 1 11 4 4 4 6 6 8 3 8 4 5 7 6 3 1 4 4 7 3 2 5 8 3 8 8 ' 2 2 6 ' ' 3 4 0 2 0 0 3012 . 1 2 4 2 1 6 3 3 3 6 3 ' 5 4 6 2 9 7 4 4 7 2 4 3 3 6 6 2 , f 3 . 3 2 1 1 8 9 2 8 3
<s 13 3 '97 5 9 7 3 4 2 5 1 4 2 8 0 4 2 1 2 2 8 3 4 3 2 0 0 3 0 1 1 7 7 2 6 6
1 4 . 3 7 3 5 6 0 3 2 5 4 8 2 2 6 2 3 9 4 . i 2 1 3 . 3 2 1 1 8 7 - 2 8 1 , • 6 5 2 4 8
• 1 5 . 3 4 8 5 2 3 2 9 9 4 5 0 2 4 4 3 6 7 1:98 2 9 8 1 7 4 261 , 1 5 3 2 3 0
s .v» 1 6 3 2 4 48 7 2 7 8 ' 4 1 8 2 2 6 3 4 0 1 8 3 2 7 5 1 6 0 - 2 4 1 1 4 1 2 1 2£ 1 7 3 0 0 4 5 0 2 5 7 3 8 6 2 0 9 3 1 4 1 6 9 2 5 3 1 4 ? . 2 2 1 ' 1 3 0 1 9 5
l i 1 8 2 7 6 4 1 5 2 3 6 3 5 5 1 9 2 2 8 8 1:54 2 3 2 1 S 5 ? 2 0 3 11 8 1 7 81 9 2 5 3 3 8 1 2 1 6 3 2 5 1 7 5 2 6 4 1 4 1 2 11 1 2 3 1 8 4 " 1 0 8 1 6 2
g2 0 " 2 3 1 3 4 7 1 9 7 • 2 9 6 1 5 9 2 3 9 J i 2 7 1 9 1 1 1 1 . 1 6 6 9 7 . 2 1 4 6
2 2 '1 ' 91 2 8 7 1 6 3 2 4 4 1 3 2 1 9 8 , 1 0 5 1 5 8 1 3 8 , ; 8 0 . 3 1 2 1
t 2 4 1 6 0 241 1 3 7 ' 2 0 5 111 1 66\ 8 8 . 2 1 3 3 - 7 1 .9 11 6 6 7 . 5 101
1 2 6 W ? 2 05 1 1 6 - 1 7 5 9 4 . 2 1 4 2 m 1 1 3 e s l s 9 8 .5 - 5 7 . 5 8 6 . 5
. 1 2 8 1 1 8 1 7 7 1 0 0 1 5 1 8 1 . 2 1 2 2 9 7 . 4 5 6 . 5 8 4 .9 4 9 . 6 74 .5
1 3 0 J O S 1 5 4 8 / . 5 . 1 31 7 0 . 7 1 0 6 . . 5 6 . 5 8 4 . 9 W 7 4 .0 ; : 4 3 .2 6 4 . 9s
3 2 a b . 3 1 3 6 7 6 . 9 11 6 6 2 . 2 9 3 . 5 4 9 . 6 7 4 , 6 4 3 ; 3 6 5 . 0 3 8 , 0 57 .1
3 4 7 k 9 1 2 0 68?1 1 0 2 - 5 5 . 1 8 2 . 8 66 .1 ^ J
P r o p e r t i e s
Pwo. k ips .126 1 9 0 1 0 2 1 5 3 7 2 . 0 1 0 8 5 7 . 2 8 5 . 9 4 5 . 9 , , 6 8 . 9 3 9 . 4 59.1
Pwf, kips/ in. 19 .0 2 8 . 5 17 .0 2 5 . 5 1 3 3 2 0 . 0 12 . 0 18 . 0 15 .5 9 . 5 0 - 14 .3
Pwb, k ips . 5 0 7 7 61 3 6 3 5 4 6 1 7 4 2 6 2 1 2 7 1 9 2 1 2 2 6 3 . 0 9 4 . 7
Pfb, k ips 2 4 6 1 2 3 1 8 5 8 7 . 8 1 3 2 5 8 . 7 8 8 .2 4 p > 6 8 . 9 3 5 . 4 53 .2
t p . f t 7 , 4 9 7 . 4 2 7 . 3 5 7 . 2 1 7 .17 7 . 1 8
t r . f t 4 7 . 6 4 1 . 6 3 5 . 2 2 9 . 9 2 7 . 0 24 .8
Ag, in.^ 19 .7 17.1 1 4 . 1 11 .7 1 0 . 3 9 . 1 3
Ik. in." 2 7 2 2 2 8 1 8 4 1 4 6 1 2 7 11 0
/y jn ." . 88 .6 75 .1 6 0 .9 4 9 .1 4 2 . 6 37 .1
/>, in . 2 .12 2 .10 2 . 0 8 2 . 0 4 2 . 0 3 2.02rJr, 1 , 7 5 1 .74 1 ,74 1 .73 1 . 7 3 1 .72
k - in.2 77 90 : 6 5 3 0 5 2 7 0 4 1 8 0 3 6 3 0 3 1 5 0 ,
Pey{KL )y - iO\ k - i n.2 2 5 4 0 2 1 5 0 1 7 4 0 1 4 1 0 1 2 2 0 1 0 6 0
A S D L R F D Note: Heavy line indicates KL/ry equal to or g reater than 200 .
( t ) c=0 .90
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4-24 D E S I G N O F C X ) M P R E S S I O N M E M B E R S
HP18
Table 4-2Available Strength in
Axial Compression, kipsHP-Shapes
Fy = 50 ksi
Shape
lb/ft
Design
06
7
910
1112
1 31 41 5
16
17
181 920
2 426283 03 23 43 6
3 84 0
HP18X
2 0 4
PnlO-o
A S D
1 S 0 0 ,
1 7 7 0
1 7 5 0174P.1 7 2 01 7 0 0
16801660
1 6 4 01610
1 5 9 0
1 5 6 01 5 3 0
1500-1 4 7 0 -1 4 4 0
1 3 7 01 3 0 01 2 3 0116010801010
9 3 6. . 8 6 5
7 9 57 2 8
LRFD - A S D
2 7 1 02650
26302610
25902560
2530250024602420238023402300
22502 2 1 0
2 1 6 0
2 61 9 5 01 8 5 01 7 4 01 6 3 0
1 5 2 01 4 1 01 3 0 0
11 9 01 0 9 0
181
PnlClc
1 5 9 0 -
1 5 6 0
1 5 5 01 5 4 01 5 2 01 5 0 01 4 9 0 ,1 4 7 0 , .1 4 5 01 4 2 01 4 0 01 3 7 01 3 5 0
1 3 2 01 2 9 01 2 7 01 2 1 0 .11 4 01080 .1 0 1 0
9 5 08 8 48207 5 66 9 56 3 5
LRFD
23902340
23302 3 1 02290226
223022
2 1 7 02 1 4 02 1 0 0
207020301 9 9 01 9 5 01 9 0 01810
1 7 2 01620
1 5 3 01 4 3 0
1 3 3 01 2 3 011 4 01 0 4 0
9 5 4
157
/Ji/fic
A S D
1 3 8 0 '1350.
1 3 4 01 3 3 01 3 2 01 3 0 01 2 9 01 2 7 01 2 5 01 2 3 01 2 1 ? "11 9 011 7 0
11 5 01120s
1100:.1 0 4 0 .
9 8 99 3 38 7 68 1 9 .7 6 17 0 56 5 0 "5 9 6 -544 .
LRFD A S O
2 8
2040
.20202000
1 9 8 0I9601 9 4 01 9 1 01880
1 8 5 01820
1 7 9 01 7 6 01 7 2 01 6 8 01 6 5 01 5 7 01 4 9 01 4 0 01 3 2 01 2 3 011 4 01060
9 7 78 9 6818
135
Pa/n^
11 9 0 .
1 1 7 a
11601150 ,11 4 011 3 0 '
1110110010801060
1 0 5 0 -
1 0 3 01010
9 8 5 ' ,,964jp9 4 2
8 4 8 ,8007 5 0
.700 ,
, 650601
5 5 35 0 7 -4 6 1
LRFD
1800
1 7 6 0
1 7 4 01 7 3 01 7 1 01 6 9 01 6 7 01 6 5 01620
1600
1 5 7 0
1 5 4 01 5 1 0
1 4 8 01 4 5 014201 3 5 01280
1200
11 3 01 0 5 0
9 7 79 0 48317616 9 3
Properties
kipsPn/, kips/in.PwtokipsPfb, kips
4 3 53 7 . 7
1 8 3 02 3 9
6 5 35 6 , 5
27403 5 9
1 5 . 26 7 . 8
3 6 33 3 . 3
1 2 7 0.
54550 .0
1 9 1 02 8 1
15 .16 1 . 3
2 9 729 .0
•40.1 4 2 -
4 4 64 3 . 5
1 2 6 0
2 1 3
1 8 . 1
5 5 . 8
2 4 1. 25 .05 3 51 0 5
3 6 237.5
8 0 415S
21 .450 .5
Agjn.^
ly, in." ,(y, in.rjryPeximW, k-in.2
6 0 2
34801120
4 ,311 . 7 6
9960032100
5 3 , 23020
9 7 44 .28 ,1 .76
8640027900
4 6 , 22570
8 3 34 .251 , 7 5
7360023800
39 ,922
7 0 64 ,211 .76
630002 2
A S D
n c = 1 . 6 7
LRFD
(Jic = 0.90
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S T E E L C O M P R E S S I O N — M E M B E R S E L E C T I O N TA B L E S 4 - 2 5
/V = 50ksi
Table 4-2 continued)Available Strength in
Axial Compression, kipsHP-Shapes H P 1 6
Shape HP16X
lb/ft 1 8 3 1 6 2 1 4 1 121 101 88"'
/5,/nc P^IClc p„/ac •cPn PnlSic AoPn Pn/Cic 'IV;'?. PnlQc APnOGSi^n
A S D LRFD A S D LRFD • S D' LRFD A S D LRFD A S D ' LRFD A S D LRFD
0 1 6 1 0 2430 1 4 3 0 2 1 5 0 1 2 5 0 1 8 8 0 1 0 7 0 ' 1 6 1 0 8 9 5 V1 3 5 0 7 4 9 , 11 3 0
6 1 5 7 0 2360 1 3 9 0 ' 2090 1 2 2 0 1 8 3 0 1 0 4 0 . 1 5 7 0 8 7 1 1 3 1 0 7 2 9 11 0 0•
7 1 5 6 0 2340 1 3 8 0 2070 1 2 0 0 ' 1 8 1 0 1 0 3 0 1 5 5 0 8 6 2 - 1 3 0 0 7 2 2 1 0 8 0
. 1 8 1 5 4 0 2320 1 3 b 0 > 2050 11 9 0 1 7 9 0 1020 ' 1 5 4 0 8 5 2 1 2 8 0 7 1 4 1 0 7 0• 9 1 5 2 0 2290 1 3 5 0 , 2020 11 8 0 1 7 7 0 1 0 1 0 - 1 5 2 0 8 4 1 ' ' 1 2 6 0 7 0 5 1 0 6 0
•1 0 1 5 0 0 ' 2260 1 3 3 0 2000 11 6 0 1 7 4 0 9 9 5 1 4 9 0 829 ' 1 2 5 0 6 9 4 1 0 4 0
•11 1480., 2230 1 3 1 0 1 9 7 0 11 4 0 1 7 2 0 9 7 9 . 1 4 7 0 8 1 6 1 2 3 0 6 8 4 1030
M 1 2 1 4 6 0 • 2 1 9 0 1 2 9 0 1 9 3 0 11 2 0 • 1 6 9 0 . 9 6 2 1 4 5 0 802< - 1 2 1 0 6 7 2 1 0 1 0e 1 3 1 4 3 0 2 1 5 0 1 2 6 0 1 9 0 0 11 0 0 1 6 6 0 9 4 4 1 4 2 0 7 8 7 , 11 8 0 •59 991"w 1 4 1 4 1 0 2 11 0 1 2 4 0 1 8 6 0 1 0 8 0 1 6 3 0 9 2 6 - , 1 3 9 0 7 7 1 11 6 0 6 4 6 971J : 1 5 1 3 8 0 2070 1 2 1 0 1 8 2 0 1 0 6 0 1 5 9 0 ^ 9 0 6 ' 1 3 6 0 7 5 4 11 3 0 6 3 2 9 5 0s
16 1 3 5 0 2020 11 9 0 1 7 8 0 1 0 3 0 .1560 885 ' 1 3 3 0 7 3 6 . 111 0 6 1 7 9 2 8
s . 17 1 3 2 0 1 9 8 0 11 6 0 1 7 4 0 1 0 1 0 1 5 2 0 8 6 3 , 1 3 0 0 7 1 8 ' ' 1 0 8 0 6 0 2 9 0 5
1 18 1280 •1930 11 3 0 1 7 0 0 ^985 1 4 8 0 8 4 1 1 2 6 0 6 9 9 1 0 5 0 S 8 7 8 8 2c
1 9 1 2 5 0 • 1 8 8 0 11 0 0 ' 1 6 5 0 9 5 8 - 1 4 4 0 8 1 8 1 2 3 0 6 7 9 t 1 0 2 0 5 7 0 ' 8 5 7"s 2 0 1220T. 1 8 3 0 1 0 7 0 . 1 6 1 0 9 3 1 1 4 0 0 7 9 4 11.90 6 5 9 9 9 1 5 5 4 833 .
B 2 2 11 5 0 - 1 7 2 0 1 0 1 0 1 1 5 1 0 8 7 6 i 1 3 2 0 7 4 6 11 2 0 6 1 8 9 2 9 5 2 0 7 8 22 4 1 0 7 0 1 6 1 0 9 4 2 , 1 4 2 0 8 1 9 1 2 3 0 . 6 9 6 . 1 0 5 0 5 7 6 • 8 6 6 •85 7 2 92 6 1000 . 1 5 0 0 8 7 7 < 1 3 2 0 761 ' 11 4 0 6 4 6 971 5 3 4 8 0 2 4 5 0 6 7 62 8 9 2 7 1 3 9 0 811 , 1 2 2 0 ' 7 0 3 - 1 0 6 0 5 9 6 - 8 9 6 4 9 U 7 3 9 - 4 1 5 6 2 3
J 3 0 8 M 1 2 8 0 7 4 6 11 2 0 6 4 5 . 9 7 0 5 4 6 - 8 2 1 450 i- 6 7 6 3 8 0 ' 571
. 1 3 2 7^3 11 8 0 6 8 2 1 0 3 0 5 8 9 8 8 6 4 9 8 5 7 4 8 4 0 9 6 1 5 3 4 6 5 2 0
® 3 4 . 713 ^ 1 0 7 0 620 i 9 3 2 5i35' 8 0 4 4 5 1 6 7 8 3 7 0 - ' 5 5 6 3 1 3 471
u : 36 , 6 4 6 971 5sn, 8 4 3 4 8 2 7 2 5 4 0 5 " 6 0 9 3 3 1 ' 4 9 8 2 8 1 4 2 33 8 8 7 3 5 0 3 7 5 6 4 3 3 " 651 3 6 4 - 5 4 7 2 9 7 4 4 7 2 5 3 3 8 0
4 0 7 8 7 4 5 4 6 8 2 3 9 15 8 7
328 '4 9 4
2 6 8 C4 0 4
, 2 2 83 4 3
Properties
P«o,kips 4 3 5 6 5 3 3 6 3 5 4 5 3 0 0 451 2 4 1 3 6 2 1 8 9 2 8 3 1 5 5 232P„-, kips/in. 3 7 . 7 56 5 33 .3 50 .0 29 .2 43 .8 25 .0 37 5 2 0 . 8 31,3 I8.O1 2 7 0
Pwb. kips 2 1 0 0 - 3 1 6 0 1450- 2 1 9 0 9 7 4 , 1 4 6 0 6 1 2 * 9 2 0 356- ' 5 3 5 2 2 9 3 4 5
Pa , kips 2 3 9 3 5 9 1 8 7 281 143 " 2 1 5 1 0 5 1 5 8 7 3 .1 11 0 5 4 . 6 82 .0
ip,f t 13 .6 13 .5 13 .4 16 ,7 20 .2 22 ,9Lr.n 6 7 . 6 6 0 . 2 5 4 . 5 4 8 . 6 4 3 . 6 40 ,6
Ag, in.^ 53 .9 4 7 . 7 4 1 . 7 3 5 . 8 2 9 . 9 2 5 , 8/x.in.i 2490 2 1 9 0 1 8 7 0 1 5 9 0 1 3 0 0 111 0y .in." 8 0 3 6 9 7 5 9 9 5 0 4 4 1 2 3 4 9
fy , in. 3 .86 3 ,82 3 .79 3 .75 3 ,71 3 . 6 8hlty 1 . 7 6 1 , 7 7 1 . 7 7 1 . 7 8 1 , 7 8 1 . 7 8
71300 62700 53500 45500 37200 31800
P^ KLflW. k- in; 23000 19900 .17 10 0 14400 11 8 0 0 9990
0 ^ = 1 . 6 7
LRFD ' Shape is slender for compression with 50 ksi.
(])<;= 0 ,90
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4 - 2 6 D E S I G N O F C X ) M P R E S S I O N M E M B E R S
Table 4-2 (continued)Available Strength In
F ~ 5 0 k s i
A x i a l C n n r i D r e s s i o n . k i D S
•w V i IV OI
H P 1 4 - H P 1 2 HP-Shapes
S h a p e HP14X HP12X
lb / f t 11 7 1 0 2 8 9 73'^ 8 4 7 4
<i>„Pn p„/ac Pn / Oc ^Pn PnlCic feflr P f l W c fc /? .ues ig i i
ASD I R F O ASD LRFD S : LR F D A S D L R F D •A S 0 LRFD A S D > L RFD
0 1 0 3 0 1 5 5 0 9 0 1 1 3 5 0 7 8 1 V 11 7 0 623 ' 9 3 7 7 3 7 111 0 6 5 3 ' 9 8 1
6 won 1 5 0 0 - 8 7 5 1 3 1 0 . 7 5 8 . . 1 1 4 0 6 0 5 9 0 9 7 0 5 1 0 6 0 6 2 4 9 3 8
7 9 9 0 • 1490 865 -^ 1 3 0 0 7 5 0 11 3 0 598 . s 8 9 9 6 9 4 . 1 0 4 0 6 1 4 9 2 3g 8 Pi77- 1 4 7 0 8 5 5 - 1 2 8 0 7 4 0 111 0 5 9 0 8 8 7 681 ' 1 0 2 0 6 0 3 9 0 6
2 9 9^4 1 4 5 0 8 4 3 -1 2 7 0 7 3 0 11 0 0 5 8 2 ' : 8 7 5 6 6 7 ?1 0 0 0 5 9 1 8 8 8
S i 1 0 9 4 9 1 4 3 0 8 2 9 - 1 2 5 0 7 1 8 1 0 8 0 573 - 8 6 1 6 5 2 • 9 8 0 . 5 7 7 ' 8 6 7
• •11 9 3 S 1 4 0 0 8 1 5 . •1 2 2 0 7 0 5 > 1 0 6 0 563 - 8 4 6 6 3 6 9 5 5 , 5 6 2 8 4 5
.1 1 2 916." 1 3 8 0 8 0 0 . =1 2 0 0 6 9 2 1 0 4 0 5 5 2 , 8 3 0 6 1 8 9 2 9 « 4 6 821
1 3 8 9 7 ; 1 3 5 0 7 8 3 - 11 8 0 6 7 7 1 0 2 0 541 8 1 3 5 9 9 901 =530' 7 9 6
« 1 4 87R 1 3 2 0 7 6 6 11 5 0 6 6 2 - 9 9 5 5 2 8 7 9 4 5 8 0 8 7 2 5 1 2 7 7 0
J 1 5 8 5 7 1 2 9 0 7 4 8 3 : 11 2 0 6 4 6 9 7 1 5 1 6 . . 7 7 5 5 6 0 : 8 4 2 4 9 4 , 7 4 3
S 1 6 R3fi 12fif l 7 2 9 11 0 0 . 6 2 9 9 4 6 5 0 2 7 5 5 . 5 3 9 . 8 1 0 4 7 6 7 1 5
11 7 8 1 3 . 1 2 2 0 7 0 9 1 0 7 0 6 ) 2 9 2 0 4 8 9 7 3 5 5 1 8 . 7 7 9 ' 457 6 8 7
c l1 8 7 9 0 • 11 9 0 6 8 9 1 0 3 0 5 9 4 . ; 8 9 3 4 7 5 - 7 1 3 4 9 6 7 4 6 4 3 7 6 5 81 9 7 6 7 11 5 0 6 6 8 '1 00 0 5 7 6 " 8 6 6 . 4 6 0 6 9 1 4 7 4 . 7 1 3 • 1 8 6 2 8
I : 2 0 ^ 7 4 3 . 11 2 0 6 4 6 9 7 2 5 5 7 8 3 8 4 4 5 6 6 9 4 5 2 ' 6 8 0 J 3 9 8 5 9 9
2 2 6 9 4 1 0 4 0 6 0 3 ' 9 0 6 5 1 9 7 8 0 415< ' - 6 2 3 4 0 8 6 1 4 3 5 9 ' 5 4 0
2 4 6 4 3 9 6 7 S 5 8 - 1 8 3 9 4 8 0 7 2 2 3 84 \ •7 7 3 6 5 . 5 4 9 3320 ; 4 8 2i*: ;
2 6 5 9 3 - 8 9 1 5 1 4 - 7 7 2 4 4 1 - - 6 6 3 3 5 3 531 323 . 4 8 6 1283 ' 4 2 6£
2 8 5 4 3 8 1 6 4 7 0 : 7 0 6 403 ' 6 0 6 3 2 2 ; . 4 8 4 2 8 3 4 2 5 ^ 4 7 3 7 2e
S 3 0 4 9 4 • 7 4 2 4 2 7 641 3 6 5 . 5 4 9 2 9 2 4 3 9 2 4 7 371 ' 2 1 6 > 3 2 4
J 3 2 4 4 6 " 6 7 1 3 8 5 ' " 5 7 9 3 2 9 \ 4 9 4 2 6 3 • 3 9 6 2 1 7 ' 3 2 6 • 8 9 2 8 5
1 3 4 4 0 0 . ' 6 0 2 3 4 4 . 5 1 8 2 9 4 ' 4 4 1 2 3 5 . 3 5 4 1 9 2 2 8 9 c 16 8 | 2 5 2
s 3 6 3 ' 5 7 ' 5 3 7 ' 3 0 7 • 4 6 2 2 6 2 . . 3 9 4 3 1 6 1 7 1 • 2 5 7 1 5 0 2 2 5
.38 3 2 0 4 8 2 2 7 6 ; 4 1 4 2 3 5 • 3 5 3 1 8 8 2 8 3 1 5 4 ' 2 3 1 '134' 2 0 24 0 2 8 9 " 4 3 5 ' 2 4 9 3 7 4 2 1 2 3 1 9 1 7 0 2 5 6 1 3 9 2 0 8 - 1 2 1 1 8 2
P r o p e r t i e s
Pwn. WDS 2 0 1 3 0 2 1 6 2 2 4 3 1 3 4 201 1 0 0 1 5 0 1 5 8 " 2 3 6 1 3 2 : • 1 9 8
P.,I. kios/irt. 2 6 . 8 4 0 3 2 3 . 5 , 3 5 , 3 2 0 5 3 0 . 8 1 6 . 8 25,3 22 .8^ 3 4 , 3 20 . 2 30.3
Pwb, kips 7 9 0 ' 11 9 0 : 5 3 n i 7 9 8 3 5 4 5 3 2 1 9 5 2 9 4 5 7 2 C t 8 5 9 3 9 3 o : 591
Pti. kips 121 1 8 2 • 9 3 ; 0 i 140 7 0 8 1 0 6 4 7 7 7 1 . 7 • 8 7 . 8 1 3 2 69.6? 105
1 2 . 9 1 5 . 6 1 7 . 8 2 1 . 2 1 0 . 4 11 . 9
Lr.n 5 0 . 5 4 5 . 7 4 1 . 7 3 7 . 6 4 1 . 3 3 7 . 9
Ag , In.^ 34 .4 30.1 2 6 . 1 2 1 . 4 2 4 . 6 2 1 . 8
Ix, in.'' . 1 2 2 0 1 0 5 0 9 0 47 2 9 6 5 0 5 6 9
ly, in." 4 4 3 3 8 0 3 2 6 2 6 1 2 1 3 1 8 6
ry. in . 3 . 5 9 3 , 5 6 3 . 5 3 3 . 4 9 2 . 9 4 2 .92
r, /fv 1 .66 1 .66 1 . 6 7 1 . 6 7 1 . 7 5 1 . 7 5
Pex{KL)W, k - in 2 3 4 9 0 0 3 0 1 0 0 2 5 9 0 0 2 0 9 0 0 1 8 6 0 0 1 6 3 0 0
Pey(KQyiO\ krin2 1 2 7 0 0 1 0 9 0 0 9 3 3 0 7 4 7 0 6 1 0 0 5 3 2 0
. . J l S L R F D ' Shape is slender for compression with f^s50 ksi.
1 .67 (lie = 0.90
AMERICAN INSTITUTE OF STEEL CONSTRUCTION
8/16/2019 Design of Compression Members W-shapes
http://slidepdf.com/reader/full/design-of-compression-members-w-shapes 16/16
S T E E L C O M P R E S S I O N - M E M B E R S E L E C T I O N T A B L E S 4 - 2 7
F y = 50 ksf
Table 4-2 (continued)Available Strength in
Axial Compression, kipshfl'-Shapes H P 1 2 H P 8
S h a p e H P 1 2 X H P l O x H P 8 x
lb / f t 63 53' 5 7 4 2 36
PnlQc « PnlCic 'kPn P„iQc •^cPn PJQc • cPn
A S O LRFD A S D L R F D A S D L R F D A S D L R F O A S O LRFD
0 5 5 1 8 2 8 4 6 0 . 6 91 5 0 0 7 5 1 3 7 1 5 5 8 3 1 7 4 7 7
6 5 2 6 7 9 1 4 3 9 6 6 0 4 6 9 7 0 6 ' 3 4 8 5 2 3 2 8 7 - , 4 3 27 5 1 8 7 7 8 49'2". 649 4 5 9 6 9 0 3 4 0 5 11 2 7 7 4 1 6
o 8 5 0 8 ' 7 6 3 4 2 4 6 3 7 , 4 4 7 6 7 2 3 3 1 4 9 7 . 2 6 6 4 0 0g 9 4 9 7 , 7 4 7 , 4 1 5 6 2 3 . 4 3 4 6 5 2 . 3 2 1 4 8 2 2 5 4 . 381
1 0 4 8 5 . . 7 2 9 . 4 0 5 6 0 8 ^'4 2 0 6 3 1 3 1 0 4 6 5 241 3 6 2"S
11 4 7 2 - " ' 7 1 0 3 9 4 5 9 2 4 0 4 6 0 8 2 9 8 4 4 8 2 2 7 34 1a 1 2 4 5 9 , 6 9 0 3 8 3 , , 5 7 5 3 8 8 ' 5 8 4 2 8 6 .4 3 0 2 1 3 320s 1 3 4 4 5 « 6 6 8 3 7 1 5 5 7 3 72 5 59 2 73 41 1 1 99 - 2 9 9M 1 4 4 3 0 6 4 6 3 5 8 5 3 8 3 5 5 5 3 3 ^ 6 0 3 9 1 1 8 4 . 2 7 7
i1 5 4 ' I 4 6 2 2 ' M 5 , 5 1 9 , ^3 7 5 0 6 "247 371 1 7 0 2 5 6
i 1 6 3 9 8 5 9 8 332 . ' 4 9 9 3 1 9 4 8 0 2 3 3 3 5 1 1 5 6 2 3 5
s . 1 7 5 7 4 3 1 8 4 7 8 ,3 0 1 4 5 3 2 2 0 3 3 0 1 4 3 2 1 4
w 1 8 3 6 5 . 5 4 9 3 0 4 ' 4 5 7 2 8 3 4 2 6 2 0 6 3 1 0 1 2 9 1 9 4IH£ 1 9 3 4 8 5 2 4 2 9 0 4 3 6 2 6 5 3 9 9 1 9 3 2 9 0 l i 7 1 7 5SiS 2 0 3 3 2 ; , , 4 9 8 , 2 7 6 ' 4 1 5 2 4 8 3 7 3 , i § o 27 0 10 '§ 158
t 2 2 2 9 3 , ' ' 4 4 8 m 3 7 3 2 1 4 3 2 2 1 5 4 2 3 2 8 6 . 9 1 3 12 4 3 9 9 ' 221;
m •
3 3 2 1 8 2 2 7 3 1 3 1 1 9 6 7 3 , 0 11 02 6 2 3 4 3 5 1
' 221;
m • 292 . 1 5 . 5 2 3 3 1 6 7 6 2 . 2 9 3 , 52 8 2 p 3 3 0 5 . 1 6 9 2 5 4 1 3 3 , 201 9 5 . 9 1 4 4 5 3 . 7 80 ,7
M 3 0 1 7 7 J • 2 6 6 1 47 221 . r f i 6 1 7 5 8 3 . 5 1 2 6 , 46 .7 70 . 3
g 3 2 1 5 6 2 3 4 1 ? 9 , 1 9 4 1 0 2 1 5 4 . 7 3 . 4 11 0 4 1 . 1 6 1 . 8
» 3 4 f 3 8 , 2 0 7 1 7 2 . 9 0 , 5 1 3 6 ; 6 5 . 0 , 9 7 . 7
E 3 6 1 2 3 " 1 8 5 1 0 2 1 5 3 • 0 , 7 1 21 5 8 . 0 8 7 . 23 8 1 1 0 1 6 6 9 1 . 6 , 1 3 8 7 2 . 5 1 0 9 5 2 . 1 7 8 . 2
4 0 9 9 . 6 1 5 0 8 2 . 7 1 2 4 • 6 5 , 4 9 8 .3 - 4 7 .0 7 0 .6
P r o p e r t i e s
Pm,m 10 7 161 . 81 .9 1 2 3 11 8 1 7 7 7 8 . 2 11 7 8 3 . 8 126Pw, k ips /in . 17 .2 25 .8 1 4 . 5 2 1 . 8 1 8 . 8 2 8 . 3 1 3 . 8 2 0 . 8 1 4 . 8 2 2 3P«4 ,k ip s 2 4 3 3 6 5 1 4 7 . 2 21 3 9 7 5 9 7 1 5 8 2 3 7 2 4 1 3 6 3/•ek ips 49 ,6 74 .6 3 5 . 4 5 3 . 2 5 9 . 7 8 9 . 8 3 3 . 0 49 .6 37 .1 5 5 . 7
Lp,n 1 4 . 4 1 6 . 6 8 . 6 5 12 .3 6 .90
Lr.n 34 .0 31 .1 34 , 8 2 8 . 3 2 7 . 3
Ag, in} 1 8 . 4 1 5 . 5 1 6 . 7 1 2 . 4 10 ,6
hM 4 7 2 3 9 3 2 9 4 2 1 0 11 9
If.in.' 1 5 3 1 2 7 1 0 1 7 1 , 7 4 0 , 3
ry , in. 2 . 8 8 2 , 8 6 2 . 4 5 2 . 4 1 1 .95rjry 1 .76 1 ,76 1 .71 1.71 1 .72
Pexm'IIO', k- in.= 1 3 5 0 0 11 2 0 0 8 4 1 0 6 0 1 0 3 4 1 04 3 8 0 3 6 3 0 2 8 9 0 2 0 5 0 11 5 0
ASO
0 ^ = 1 . 6 7
L R F D
(])<; = 0.90
«S hape is slender for compression wltli = 50 ksi.Note: Heavy lliie Indicates KUr, equal to or greater than 200 .