AISC- Manual of Steel Construction LRFD Vol Menes I-II 2ed 869

TABLE 3-36Design Stress for Compression Members of

36 ksi Specified Yield Stress Steel, φc = 0.85[a]

Klr

φφcFcrksi

Klr

φφcFcrksi

Klr

φφcFcrksi

Klr

φφcFcrksi

Klr

φφcFcrksi

1 30.60 41 28.01 81 21.66 121 14.16 161 8.23 2 30.59 42 27.89 82 21.48 122 13.98 162 8.13 3 30.59 43 27.76 83 21.29 123 13.80 163 8.03 4 30.57 44 27.64 84 21.11 124 13.62 164 7.93 5 30.56 45 27.51 85 20.92 125 13.44 165 7.84

6 30.54 46 27.37 86 20.73 126 13.27 166 7.74 7 30.52 47 27.24 87 20.54 127 13.09 167 7.65 8 30.50 48 27.11 88 20.36 128 12.92 168 7.56 9 30.47 49 26.97 89 20.17 129 12.74 169 7.4710 30.44 50 26.83 90 19.98 130 12.57 170 7.38

11 30.41 51 26.68 91 19.79 131 12.40 171 7.3012 30.37 52 26.54 92 19.60 132 12.23 172 7.2113 30.33 53 26.39 93 19.41 133 12.06 173 7.1314 30.29 54 26.25 94 19.22 134 11.88 174 7.0515 30.24 55 26.10 95 19.03 135 11.71 175 6.97

16 30.19 56 25.94 96 18.84 136 11.54 176 6.8917 30.14 57 25.79 97 18.65 137 11.37 177 6.8118 30.08 58 25.63 98 18.46 138 11.20 178 6.7319 30.02 59 25.48 99 18.27 139 11.04 179 6.6620 29.96 60 25.32 100 18.08 140 10.89 180 6.59

21 29.90 61 25.16 101 17.89 141 10.73 181 6.5122 29.83 62 24.99 102 17.70 142 10.58 182 6.4423 29.76 63 24.83 103 17.51 143 10.43 183 6.3724 26.69 64 24.67 104 17.32 144 10.29 184 6.3025 29.61 65 24.50 105 17.13 145 10.15 185 6.23

26 29.53 66 24.33 106 16.94 146 10.01 186 6.1727 29.45 67 24.16 107 16.75 147 9.87 187 6.1028 29.36 68 23.99 108 16.56 148 9.74 188 6.0429 29.28 69 23.82 109 16.37 149 9.61 189 5.9730 29.18 70 23.64 110 16.19 150 9.48 190 5.91

31 29.09 71 23.47 111 16.00 151 9.36 191 5.8532 28.99 72 23.29 112 15.81 152 9.23 192 5.7933 28.90 73 23.12 113 15.63 153 9.11 193 5.7334 28.79 74 22.94 114 15.44 154 9.00 194 5.6735 28.69 75 22.76 115 15.26 155 8.88 195 5.61

36 28.58 76 22.58 116 15.07 156 8.77 196 5.5537 28.47 77 22.40 117 14.89 157 8.66 197 5.5038 28.36 78 22.22 118 14.70 158 8.55 198 5.4439 28.25 79 22.03 119 14.52 159 8.44 199 5.3940 28.13 80 21.85 120 14.34 160 8.33 200 5.33

[a] When element width-to-thickness ration exceeds λr , see Appendix B5.3.

AMERICAN INSTITUTE OF STEEL CONSTRUCTION

NUMERICAL VALUES 6 - 147

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Klr

φφcFcrksi

Klr

φφcFcrksi

Klr

φφcFcrksi

Klr

φφcFcrksi

Klr

φφcFcrksi

1 42.50 41 37.59 81 26.31 121 14.57 161 8.23 2 42.49 42 37.36 82 26.00 122 14.33 162 8.13 3 42.47 43 37.13 83 25.68 123 14.10 163 8.03 4 42.45 44 36.89 84 25.37 124 13.88 164 7.93 5 42.42 45 36.65 85 25.06 125 13.66 165 7.84

6 42.39 46 36.41 86 24.75 126 13.44 166 7.74 7 42.35 47 36.16 87 24.44 127 13.23 167 7.65 8 42.30 48 35.91 88 24.13 128 13.02 168 7.56 9 42.25 49 35.66 89 23.82 129 12.82 169 7.4710 42.19 50 35.40 90 23.51 130 12.62 170 7.38

11 42.13 51 35.14 91 23.20 131 12.43 171 7.3012 42.05 52 34.88 92 22.89 132 12.25 172 7.2113 41.98 53 34.61 93 22.58 133 12.06 173 7.1314 41.90 54 34.34 94 22.28 134 11.88 174 7.0515 41.81 55 34.07 95 21.97 135 11.71 175 6.97

16 41.71 56 33.79 96 21.67 136 11.54 176 6.8917 41.61 57 33.51 97 21.36 137 11.37 177 6.8118 41.51 58 33.23 98 21.06 138 11.20 178 6.7319 41.39 59 32.95 99 20.76 139 11.04 179 6.6620 41.28 60 32.67 100 20.46 140 10.89 180 6.59

21 41.15 61 32.38 101 20.16 141 10.73 181 6.5122 41.02 62 32.09 102 19.86 142 10.58 182 6.4423 40.89 63 31.80 103 19.57 143 10.43 183 6.3724 40.75 64 31.50 104 19.28 144 10.29 184 6.3025 40.60 65 31.21 105 18.98 145 10.15 185 6.23

26 40.45 66 30.91 106 18.69 146 10.01 186 6.1727 40.29 67 30.61 107 18.40 147 9.87 187 6.1028 40.13 68 30.31 108 18.12 148 9.74 188 6.0429 39.97 69 30.01 109 17.83 149 9.61 189 5.9730 39.79 70 29.70 110 17.55 150 9.48 190 5.91

31 39.62 71 29.40 111 17.27 151 9.36 191 5.8532 39.43 72 20.09 112 16.99 152 9.23 192 5.7933 39.25 73 28.79 113 16.71 153 9.11 193 5.7334 39.06 74 28.48 114 16.42 154 9.00 194 5.6735 38.86 75 28.17 115 16.13 155 8.88 195 5.61

36 38.66 76 27.86 116 15.86 156 8.77 196 5.5537 38.45 77 27.55 117 15.59 157 8.66 197 5.5038 38.24 78 27.24 118 15.32 158 8.55 198 5.4439 38.03 79 26.93 119 15.07 159 8.44 199 5.3940 37.81 80 26.62 120 14.82 160 8.33 200 5.33

[a] When element width-to-thickness ratio exceeds λr , see Appendix B5.3.

TABLE 3-50Design Stress for Compression Members of

50 ksi Specified Yield Stress Steel, φc = 0.85[a]


6 - 148 NUMERICAL VALUES

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λλc φφcFcr / Fy λλc φφcFcr / Fy λλc φφcFcr / Fy λλc φφcFcr / Fy

0.02 0.850 0.82 0.641 1.62 0.284 2.42 0.1270.04 0.849 0.84 0.632 1.64 0.277 2.44 0.1250.06 0.849 0.86 0.623 1.66 0.271 2.46 0.1230.08 0.848 0.88 0.614 1.68 0.264 2.48 0.1210.10 0.846 0.90 0.605 1.70 0.258 2.50 0.119

0.12 0.845 0.92 0.596 1.72 0.252 2.52 0.1170.14 0.843 0.94 0.587 1.74 0.246 2.54 0.1160.16 0.841 0.96 0.578 1.76 0.241 2.56 0.1140.18 0.839 0.98 0.568 1.78 0.235 2.58 0.1120.20 0.836 1.00 0.559 1.80 0.230 2.60 0.110

0.22 0.833 1.02 0.550 1.82 0.225 2.62 0.1090.24 0.830 1.04 0.540 1.84 0.220 2.64 0.1070.26 0.826 1.06 0.531 1.86 0.215 2.66 0.1050.28 0.823 1.08 0.521 1.88 0.211 2.68 0.1040.30 0.819 1.10 0.512 1.90 0.206 2.70 0.102

0.32 0.814 1.12 0.503 1.92 0.202 2.72 0.1010.34 0.810 1.14 0.493 1.94 0.198 2.74 0.0990.36 0.805 1.16 0.484 1.96 0.194 2.76 0.0980.38 0.800 1.18 0.474 1.98 0.190 2.78 0.0960.40 0.795 1.20 0.465 2.00 0.186 2.80 0.095

0.42 0.789 1.22 0.456 2.02 0.183 2.82 0.0940.44 0.784 1.24 0.446 2.04 0.179 2.84 0.0920.46 0.778 1.26 0.437 2.06 0.176 2.86 0.0910.48 0.772 1.28 0.428 2.08 0.172 2.88 0.0900.50 0.765 1.30 0.419 2.10 0.169 2.90 0.089

0.52 0.759 1.32 0.410 2.12 0.166 2.92 0.0870.54 0.752 1.34 0.401 2.14 0.163 2.94 0.0860.56 0.745 1.36 0.392 2.16 0.160 2.96 0.0850.58 0.738 1.38 0.383 2.18 0.157 2.98 0.0840.60 0.731 1.40 0.374 2.20 0.154 3.00 0.083

0.62 0.724 1.42 0.365 2.22 0.151 3.02 0.0820.64 0.716 1.44 0.357 2.24 0.149 3.04 0.0810.66 0.708 1.46 0.348 2.26 0.146 3.06 0.0800.68 0.700 1.48 0.339 2.28 0.143 3.08 0.0790.70 0.692 1.50 0.331 2.30 0.141 3.10 0.078

0.72 0.684 1.52 0.323 2.32 0.138 3.12 0.0770.74 0.676 1.54 0.314 2.34 0.136 3.14 0.0760.76 0.667 1.56 0.306 2.36 0.134 3.16 0.0750.78 0.659 1.58 0.299 2.38 0.132 3.18 0.0740.80 0.650 1.60 0.291 2.40 0.129 3.20 0.073

[a] When element width-to-thickness ratios exceed λr , see Appendix B5.3.Values of λc > 2.24 exceed Kl / r of 200 for Fy = 36Values of λc > 2.64 exceed Kl / r of 200 for Fy = 50

TABLE 4Values of φcFcr / Fy , φc = 0.85

for Determining Design Stress for CompressionMembers for Steel of Any Yield Stress[a]



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λλc

Kl / r

λλc

Kl / r

Fy == 36 Fy == 50 Fy == 36 Fy == 50

0.02 1.8 1.5 0.82 73.1 62.00.04 3.6 3.0 0.84 74.9 63.60.06 4.3 4.5 0.86 76.7 65.10.08 7.1 6.1 0.88 78.5 66.60.10 8.9 7.6 0.90 80.2 68.1

0.12 10.7 9.1 0.92 82.0 69.60.14 12.5 10.6 0.94 83.8 71.10.16 14.3 12.1 0.96 85.6 72.60.18 16.0 13.6 0.98 87.4 74.10.20 17.8 15.1 1.00 89.2 75.7

0.22 19.6 16.6 1.02 90.9 77.20.24 21.4 18.2 1.04 92.7 78.70.26 23.2 19.7 1.06 94.5 80.20.28 25.0 21.2 1.08 96.3 81.70.30 26.7 22.7 1.10 98.1 83.2

0.32 28.5 24.2 1.12 99.9 84.70.34 30.3 25.7 1.14 101.6 86.30.36 32.1 27.2 1.16 103.4 87.80.38 33.9 28.8 1.18 105.2 89.30.40 35.7 30.3 1.20 107.0 90.8

0.42 37.4 31.8 1.22 108.8 92.30.44 39.2 33.3 1.24 110.6 93.80.46 41.0 34.8 1.26 112.3 95.30.48 42.8 36.3 1.28 114.1 96.80.50 44.6 37.8 1.30 115.9 98.4

0.52 46.4 39.3 1.32 117.7 99.90.54 48.1 40.9 1.34 119.5 101.40.56 49.9 42.4 1.36 121.3 102.90.58 51.7 43.9 1.38 123.0 104.40.60 53.5 45.4 1.40 124.8 105.9

0.62 55.3 46.9 1.42 126.6 107.40.64 57.1 48.4 1.44 128.4 108.90.66 58.8 49.9 1.46 130.2 110.50.68 60.6 51.4 1.48 132.0 112.00.70 62.4 53.0 1.50 133.7 113.5

0.72 64.2 54.5 1.52 135.5 115.00.74 66.0 56.0 1.54 137.3 116.50.76 67.8 57.5 1.56 139.1 118.00.78 69.5 59.0 1.58 140.9 119.50.80 71.3 60.5 1.60 142.7 121.1

TABLE 5Values of Kl / r for Fy = 36 and 50 ksi



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TABLE 5 (cont’d)Values of Kl / r for Fy = 36 and 50 ksi

λλc

Kl / r

λλc

Kl / r

Fy == 36 Fy == 50 Fy == 50

1.62 144.4 122.6 2.42 183.11.64 146.2 124.1 2.44 184.61.66 148.0 125.6 2.46 186.11.68 149.8 127.1 2.48 187.61.70 151.6 128.6 2.50 189.1

1.72 153.4 130.1 2.52 190.71.74 155.1 131.6 2.54 192.21.76 156.9 133.2 2.56 193.71.78 158.7 134.7 2.58 195.21.80 160.5 136.2 2.60 196.7

1.82 162.3 137.7 2.62 198.21.84 164.1 139.2 2.64 199.71.86 165.8 140.71.88 167.6 142.21.90 169.4 143.8

1.92 171.2 145.31.94 173.0 146.81.96 174.8 148.31.98 176.5 149.82.00 178.3 151.3

2.02 180.1 152.82.04 181.9 154.32.06 183.7 155.92.08 185.5 157.42.10 187.2 158.9

2.12 189.0 160.42.14 190.8 161.92.16 192.6 163.42.18 194.4 164.92.20 196.2 166.5

2.22 197.9 168.02.24 199.7 169.52.26 171.02.28 172.52.30 174.0

2.32 175.52.34 177.02.36 178.62.38 180.12.40 181.6

Heavy line indicates Kl / r of 200.



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Ratio

Fy (ksi)

36 42 46 50 60 65

65 / √Fy 10.8 10.0 9.6 9.2 8.4 8.1

76 / √Fy 12.7 11.7 11.2 10.7 9.8 9.4

95 / √Fy 15.8 14.7 14.0 13.4 12.3 11.8

127 / √Fy 21.2 19.6 18.7 18.0 16.4 15.8

141 / √Fy − 10 27.7 24.9 23.5 22.3 19.9 19.0

190 / √Fy 31.7 29.3 28.0 26.9 24.5 23.6

238 / √Fy 39.7 36.7 35.1 33.7 30.7 29.5

253 / √Fy 42.2 39.0 37.3 35.8 32.7 31.4

317 / √Fy 52.8 48.9 46.7 44.8 40.9 39.3

640 / √Fy 107.0 98.8 94.4 90.5 82.6 79.4

970 / √Fy 162.0 150.0 143.0 137.0 125.0 120.0

1,300 / Fy 36.1 31.0 28.3 26.0 21.7 20.0

2,070 / Fy 57.5 49.3 45.0 41.4 34.5 31.8

3,300 / Fy 91.7 78.6 71.7 66.0 55.0 50.8

8,970 / Fy 249.0 214.0 195.0 179.0 150.0 138.0

TABLE 6Slenderness Ratios of Elements as a Function of Fy

From Table B5.1



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M1

M2 Cm

M1

M2 Cm

M1

M2 Cm

−1.00 1.00 −0.45 0.78 0.10 0.56

−0.95 0.98 −0.40 0.76 0.15 0.54

−0.90 0.96 −0.35 0.74 0.20 0.52

−0.85 0.94 −0.30 0.72 0.25 0.50

−0.80 0.92 −0.25 0.70 0.30 0.48

−0.75 0.90 −0.20 0.68 0.35 0.46

−0.70 0.88 −0.15 0.66 0.40 0.44

−0.65 0.86 −0.10 0.64 0.45 0.42

−0.60 0.84 −0.05 0.62 0.50 0.40

0.60 0.36

−0.55 0.82 0 0.60 0.80 0.28

−0.50 0.80 0.05 0.58 1.00 0.20

Note 1: Cm = 0.6 − 0.4(M1 / M2).Note 2: M1 / M2 is positive for reverse curvature and negative for single curvature. |M1| ≤ |M2|

TABLE 7Values of Cm

for Use in Section C1



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Klr

Pe / Ag

(ksi)Klr

Pe / Ag

(ksi)Klr

Pe / Ag

(ksi)Klr

Pe / Ag

(ksi)Klr

Pe / Ag

(ksi)Klr

Pe / Ag

(ksi)

21 649.02 51 110.04 81 43.62 111 23.23 141 14.40 171 9.7922 591.36 52 105.85 82 42.57 112 22.82 142 14.19 172 9.6723 541.06 53 101.89 83 41.55 113 22.42 143 14.00 173 9.5624 496.91 54 98.15 84 40.56 114 22.02 144 13.80 174 9.4525 457.95 55 94.62 85 39.62 115 21.64 145 13.61 175 9.35

26 423.40 56 91.27 86 38.70 116 21.27 146 13.43 176 9.2427 392.62 57 88.09 87 37.81 117 20.91 147 13.25 177 9.1428 365.07 58 85.08 88 36.96 118 20.56 148 13.07 178 9.0329 340.33 59 82.22 89 36.13 119 20.21 149 12.89 179 8.9330 318.02 60 79.51 90 35.34 120 19.88 150 12.72 180 8.83

31 297.83 61 76.92 91 34.56 121 19.55 151 12.55 181 8.7432 279.51 62 74.46 92 33.82 122 19.23 152 12.39 182 8.6433 262.83 63 72.11 93 33.09 123 18.92 153 12.23 183 8.5534 247.59 64 69.88 94 32.39 124 18.61 154 12.07 184 8.4535 233.65 65 67.74 95 31.71 125 18.32 155 11.91 185 8.36

36 220.85 66 65.71 96 31.06 126 18.03 156 11.76 186 8.2737 209.07 67 63.76 97 30.42 127 17.75 157 11.61 187 8.1838 198.21 68 61.90 98 29.80 128 17.47 158 11.47 188 8.1039 188.18 69 60.12 99 29.20 129 17.20 159 11.32 189 8.0140 178.89 70 58.41 100 28.62 130 16.94 160 11.18 190 7.93

41 170.27 71 56.78 101 28.06 131 16.68 161 11.04 191 7.8542 162.26 72 55.21 102 27.51 132 16.43 162 10.91 192 7.7643 154.80 73 53.71 103 26.98 133 16.18 163 10.77 193 7.6844 147.84 74 52.57 104 26.46 134 15.94 164 10.64 194 7.6045 141.34 75 50.88 105 25.96 135 15.70 165 10.51 195 7.53

46 135.26 76 49.55 106 25.47 136 15.47 166 10.39 196 7.4547 129.57 77 48.27 107 25.00 137 15.25 167 10.26 197 7.3848 124.23 78 47.04 108 24.54 138 15.03 168 10.14 198 7.3049 119.21 79 45.86 109 24.09 139 14.81 169 10.02 199 7.2350 114.49 80 44.72 110 23.65 140 14.60 170 9.90 200 7.16

Note: Pe / Ag = π2E

(Kl / r)2 , use for both Pe1 and Pe2.

TABLE 8Values of Pe / Ag

for Use in Section C1 for Steel of Any Yield Stress



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Documents

AISC- Manual of Steel Construction LRFD Vol Menes I-II 2ed 869