chs design tables
TRANSCRIPT
BS 5950-1: 2000
BS EN 10210-2: 1997 CIRCULAR HOLLOW SECTIONS
DIMENSIONS AND PROPERTIES
Section Mass Area Ratio Second Radius Elastic Plastic
Designation per of for Moment of Modulus Modulus
Outside Thickness Metre Section Local of Area Gyration
Diameter Buckling
D t A D/t I r Z S
mm mm kg/m cm
26.9 3.2 ~ 1.87 2.38 8.41 1.7 0.846 1.27 1.81
42.4 3.2 ~ 3.09 3.94 13.3 7.62 1.39 3.59 4.93
48.3 3.2 ~ 3.56 4.53 15.1 11.6 1.6 4.8 6.52
4.0 ~ 4.37 5.57 12.1 13.8 1.57 5.7 7.87
5.0 ~ 5.34 6.8 9.66 16.2 1.54 6.69 9.42
60.3 3.2 ~ 4.51 5.74 18.8 23.5 2.02 7.78 10.4
5.0 ~ 6.82 8.69 12.1 33.5 1.96 11.1 15.3
76.1 2.9 ^ 5.24 6.67 26.2 44.7 2.59 11.8 15.5
3.2 ~ 5.75 7.33 23.8 48.8 2.58 12.8 17
4.0 ~ 7.11 9.06 19 59.1 2.55 15.5 20.8
5.0 ~ 8.77 11.2 15.2 70.9 2.52 18.6 25.3
88.9 3.2 ~ 6.76 8.62 27.8 79.2 3.03 17.8 23.5
4.0 ~ 8.38 10.7 22.2 96.3 3 21.7 28.9
5.0 ~ 10.4 13.2 17.8 116 2.97 26.2 35.2
6.3 ~ 12.8 16.3 14.1 140 2.93 31.5 43.1
114.3 3.2 ~ 8.77 11.2 35.7 172 3.93 30.2 39.5
3.6 9.83 12.5 31.8 192 3.92 33.6 44.1
5 13.5 17.2 22.9 257 3.87 45 59.8
6.3 16.8 21.4 18.1 313 3.82 54.7 73.6
139.7 5 16.6 21.2 27.9 481 4.77 68.8 90.8
6.3 20.7 26.4 22.2 589 4.72 84.3 112
8.0 ~ 26 33.1 17.5 720 4.66 103 139
10.0 ~ 32 40.7 14 862 4.6 123 169
168.3 5.0 ~ 20.1 25.7 33.7 856 5.78 102 133
6.3 ~ 25.2 32.1 26.7 1050 5.73 125 165
8.0 ~ 31.6 40.3 21 1300 5.67 154 206
10.0 ~ 39 49.7 16.8 1560 5.61 186 251
193.7 5.0 ~ 23.3 29.6 38.7 1320 6.67 136 178
6.3 ~ 29.1 37.1 30.7 1630 6.63 168 221
8.0 ~ 36.6 46.7 24.2 2020 6.57 208 276
10.0 ~ 45.3 57.7 19.4 2440 6.5 252 338
BS 5950-1: 2000
BS EN 10210-2: 1997 CIRCULAR HOLLOW SECTIONS
HOT-FINISHED CELSIUS
cm2 cm4 cm3 cm3
HOT-FINISHED CELSIUS
DIMENSIONS AND PROPERTIES
Section Mass Area Ratio Second Radius Elastic Plastic
Designation per of for Moment of Modulus Modulus
Outside Thickness Metre Section Local of Area Gyration
Diameter Buckling
D t A D/t I r Z S
mm mm kg/m cm
219.1 5.0 ~ 26.4 33.6 43.8 1930 7.57 176 229
6.3 ~ 33.1 42.1 34.8 2390 7.53 218 285
8.0 ~ 41.6 53.1 27.4 2960 7.47 270 357
10.0 ~ 51.6 65.7 21.9 3600 7.4 328 438
12.5 ~ 63.7 81.1 17.5 4350 7.32 397 534
244.5 12.0 ~ 68.8 87.7 20.4 5940 8.23 486 649
273 5.0 ~ 33 42.1 54.6 3780 9.48 277 359
6.3 41.4 52.8 43.3 4700 9.43 344 448
8.0 ~ 52.3 66.6 34.1 5850 9.37 429 562
10 64.9 82.6 27.3 7150 9.31 524 692
12.5 80.3 102 21.8 8700 9.22 637 849
16.0 ~ 101 129 17.1 10700 9.1 784 1060
323.9 6.3 ~ 49.3 62.9 51.4 7930 11.2 490 636
8.0 ~ 62.3 79.4 40.5 9910 11.2 612 799
10.0 ~ 77.4 98.6 32.4 12200 11.1 751 986
12.5 ~ 96 122 25.9 14800 11 917 1210
16 122 155 20.2 18400 10.9 1140 1520
406.4 6.3 ~ 62.2 79.2 64.5 15900 14.1 780 1010
8.0 ~ 78.6 100 50.8 19900 14.1 978 1270
10.0 ~ 97.8 125 40.6 24500 14 1210 1570
12.5 ~ 121 155 32.5 30000 13.9 1480 1940
16 154 196 25.4 37500 13.8 1840 2440
457 8.0 ~ 88.6 113 57.1 28500 15.9 1250 1610
10.0 ~ 110 140 45.7 35100 15.8 1540 2000
12.5 ~ 137 175 36.6 43100 15.7 1890 2470
16 174 222 28.6 54000 15.6 2360 3110
508 8.0 ~ 98.6 126 63.5 39300 17.7 1550 2000
10.0 ~ 123 156 50.8 48500 17.6 1910 2480
12.5 153 195 40.6 59800 17.5 2350 3070
16.0 ~ 194 247 31.8 74900 17.4 2950 3870
20.0 ~ 241 307 25.4 91400 17.3 3600 4770
cm2 cm4 cm3 cm3
BS 5950-1: 2000
CIRCULAR HOLLOW SECTIONS BS EN 10210-2: 1997 CIRCULAR HOLLOW SECTION<>
EFFECTIVE PROPERTIES
CLASSIFICATION & EFFECTIVE SECTION PROPERTIES FOR SECTIONSDIMENSIONS AND PROPERTIES SUBJECT TO BENDING ABOUT X-X AXIS
Torsional Surface Area Designation S275Constants Outside Wall Classification Properties
Per Per Diameter Thickness
Metre Tonne D t
J C mm mm
193.7 Plastic -
3.41 2.53 0.085 35.5 219.1 Compact -
15.2 7.19 0.133 33.8 273 Semi-compact -
23.2 9.59 0.152 33.6 Compact -
27.5 11.4 0.152 27.3 323.9 Semi-compact -
32.3 13.4 0.152 22.4 Compact -
46.9 15.6 0.189 32.9 406.4 Semi-compact -
67 22.2 0.189 21.7 Semi-compact -
89 23.5 0.239 35.8 Compact -
97.6 25.6 0.239 32.6 457 Semi-compact -
118 31 0.239 26.4 Compact -
142 37.3 0.239 21.4 508 Semi-compact -
158 35.6 0.279 32.4 Semi-compact -
193 43.3 0.279 26.1 Compact -
233 52.4 0.279 21.1
280 63.1 0.279 17.1
345 60.4 0.359 32.1
384 67.2 0.359 28.7
514 89.9 0.359 20.9
625 109 0.359 16.8
961 138 0.439 20.7
1180 169 0.439 16.6
1440 206 0.439 13.3 BS 5950-1: 2000
1720 247 0.439 10.8 BS EN 10210-2: 1997 CIRCULAR HOLLOW SECTIONS1710 203 0.529 20.6
2110 250 0.529 16.5 EFFECTIVE AREA2600 308 0.529 13.1
3130 372 0.529 10.6
2640 273 0.609 20.6
3260 337 0.609 16.4
4030 416 0.609 13
4880 504 0.609 10.6 CLASSIFICATION & EFFECTIVE AREA FOR SECTIONS SUBJECT TO AXIAL COMPRESSION
Designation S275Outside Wall Classification Gross
CIRCULAR HOLLOW SECTIONS Diameter Thickness Area
HOT-FINISHED CELSIUS
Ix eff
cm4
cm4 cm3 m2 m2 5.0 ~
5.0 ~
5.0 ~
6.3
6.3 ~
8.0 ~
6.3 ~
8.0 ~
10.0 ~
8.0 ~
10.0 ~
8.0 ~
10.0 ~
12.5
HOT-FINISHED CELSIUS
HOT-FINISHED CELSIUS
<> D t A
mm mm
406.4 Non Slender 79.2
508 Non Slender 126
DIMENSIONS AND PROPERTIES
Torsional Surface Area
Constants
Per Per
Metre Tonne
J C
3860 352 0.688 20.5
4770 436 0.688 16.3
5920 540 0.688 13
7200 657 0.688 10.5
8690 793 0.688 8.48
11900 972 0.768 8.76
7560 554 0.858 20.4
9390 688 0.858 16.3
11700 857 0.858 12.9
14300 1050 0.858 10.4
17400 1270 0.858 8.39
21400 1570 0.858 6.64
15900 979 1.02 16.2
19800 1220 1.02 12.8
24300 1500 1.02 10.3
29700 1830 1.02 8.34
36800 2270 1.02 6.59
31700 1560 1.28 16.2
39700 1960 1.28 12.8
49000 2410 1.28 10.2
60100 2960 1.28 8.26
74900 3690 1.28 6.53
56900 2490 1.44 12.8
70200 3070 1.44 10.3
86300 3780 1.44 8.23
108000 4730 1.44 6.49
78600 3090 1.6 12.7
97000 3820 1.6 10.3
120000 4710 1.6 8.21
150000 5900 1.6 6.48
183000 7200 1.6 5.21
cm2
6.3 ~
8.0 ~
cm4 cm3 m2 m2
CIRCULAR HOLLOW SECTION <>
EFFECTIVE PROPERTIES
CLASSIFICATION & EFFECTIVE SECTION PROPERTIES FOR SECTIONSSUBJECT TO BENDING ABOUT X-X AXIS
S275 S355Properties Classification Properties
- - 1 Semi-compact - - 178 1
- - 1 Semi-compact - - 221 0.966
- 350 0.976 Semi-compact - - 327 0.91
- - 1 Semi-compact - - 434 0.968
- 631 0.992 Semi-compact - - 588 0.925
- - 1 Semi-compact - - 789 0.987
- 941 0.933 Semi-compact - - 881 0.873
- 1260 0.995 Semi-compact - - 1180 0.928
- - 1 Semi-compact - - 1550 0.986
- 1550 0.963 Semi-compact - - 1450 0.9
- - 1 Semi-compact - - 1910 0.954
- 1870 0.936 Semi-compact - - 1750 0.876
- 2470 0.995 Semi-compact - - 2300 0.928
- - 1 Semi-compact - - 3030 0.986
CIRCULAR HOLLOW SECTIONS <>
EFFECTIVE AREA
CLASSIFICATION & EFFECTIVE AREA FOR SECTIONS SUBJECT TO AXIAL COMPRESSION
S275 S355Effective Classification Gross Effective
Area Area Area
HOT-FINISHED CELSIUS
Zx eff Sx eff bw Ix eff Zx eff Sx eff bw
cm3 cm3 cm4 cm3 cm3
HOT-FINISHED CELSIUS
A
79.2 1 Slender 79.2 77.6 0.98
126 1 Slender 126 124 0.988
Aeff Aeff/A Aeff Aeff/A
cm2 cm2 cm2
BS 5950-1: 2000 AXIAL LOAD & BENDINGBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS SUBJECTTO AXIAL LOAD (COMPRESSION OR TENSION) AND BENDING
CROSS-SECTION CAPACITY CHECK
RESISTANCES AND CAPACITIES FOR S355
Section Mass Axial load
per Capacity for
D t Metre
mm mm kg kN 0 0.1 0.2 0.3
26.9 1.87 84.5 0.541 0.541 0.541 0.541
0.541 0.541 0.541 0.541
42.4 3.09 140 1.53 1.53 1.53 1.53
1.53 1.53 1.53 1.53
48.3 3.56 161 2.04 2.04 2.04 2.04
2.04 2.04 2.04 2.04
4.37 198 2.43 2.43 2.43 2.43
2.43 2.43 2.43 2.43
5.34 241 2.85 2.85 2.85 2.85
2.85 2.85 2.85 2.85
60.3 4.51 204 3.31 3.31 3.31 3.31
3.31 3.31 3.31 3.29
6.82 308 4.73 4.73 4.73 4.73
4.73 4.73 4.73 4.73
76.1 5.24 237 5.03 5.03 5.03 5.03
5.03 5.03 5.03 4.9
5.75 260 5.45 5.45 5.45 5.45
5.45 5.45 5.45 5.38
7.11 322 6.6 6.6 6.6 6.6
6.6 6.6 6.6 6.58
8.77 397 7.92 7.92 7.92 7.92
7.92 7.92 7.92 7.92
88.9 6.76 306 7.58 7.58 7.58 7.58
7.58 7.58 7.58 7.43
8.38 380 9.24 9.24 9.24 9.24
9.24 9.24 9.24 9.14
10.4 469 11.2 11.2 11.2 11.2
11.2 11.2 11.2 11.1
12.8 579 13.4 13.4 13.4 13.4
13.4 13.4 13.4 13.4
BS 5950-1: 2000 AXIAL LOAD & BENDINGBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS SUBJECTTO AXIAL LOAD (COMPRESSION OR TENSION) AND BENDING
HOT-FINISHED CELSIUS
Moment Capacity M
Designation
Pz = Agpy Ratios of Axial Load to Axial Load Capacity F/P
F/Pz
3.2 Mc
Mr
3.2 Mc
Mr
3.2 Mc
Mr
4.0 Mc
Mr
5.0 Mc
Mr
3.2 Mc
Mr
5.0 Mc
Mr
2.9 ^ Mc
Mr
3.2 Mc
Mr
4.0 Mc
Mr
5.0 Mc
Mr
3.2 Mc
Mr
4.0 Mc
Mr
5.0 Mc
Mr
6.3 Mc
Mr
HOT-FINISHED CELSIUS
CROSS-SECTION CAPACITY CHECK
RESISTANCES AND CAPACITIES FOR S355
Section Mass Axial load
per Capacity for
D t Metre
mm mm kg kN 0 0.1 0.2 0.3
114.3 8.77 398 12.9 12.9 12.9 12.9
12.9 12.9 12.9 12.5
9.83 444 14.3 14.3 14.3 14.3
14.3 14.3 14.3 13.9
13.5 611 19.2 19.2 19.2 19.2
19.2 19.2 19.2 18.9
16.8 760 23.3 23.3 23.3 23.3
23.3 23.3 23.3 23.3
139.7 16.6 753 29.3 29.3 29.3 29.3
29.3 29.3 29.3 28.7
20.7 937 35.9 35.9 35.9 35.9
35.9 35.9 35.9 35.5
26 1180 43.9 43.9 43.9 43.9
43.9 43.9 43.9 43.9
32 1440 52.6 52.6 52.6 52.6
52.6 52.6 52.6 52.6
168.3 20.1 912 43.5 43.5 43.5 43.5
43.5 43.5 43.5 42.1
25.2 1140 53.3 53.3 53.3 53.3
53.3 53.3 53.3 52.2
31.6 1430 65.6 65.6 65.6 65.6
65.6 65.6 65.6 65.2
39 1760 79.2 79.2 79.2 79.2
79.2 79.2 79.2 79.2
193.7 23.3 1050 57.9 57.9 57.9 57.9
- - - -
29.1 1320 71.6 71.6 71.6 71.6
71.6 71.6 71.6 69.9
36.6 1660 88.6 88.6 88.6 88.6
88.6 88.6 88.6 87.3
45.3 2050 107 107 107 107
107 107 107 107
BS 5950-1: 2000 AXIAL LOAD & BENDINGBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS SUBJECTTO AXIAL LOAD (COMPRESSION OR TENSION) AND BENDING
CROSS-SECTION CAPACITY CHECK
RESISTANCES AND CAPACITIES FOR S355
Moment Capacity M
Designation
Pz = Agpy Ratios of Axial Load to Axial Load Capacity F/P
F/Pz
3.2 Mc
Mr
3.6 Mc
Mr
5.0 Mc
Mr
6.3 Mc
Mr
5.0 Mc
Mr
6.3 Mc
Mr
8.0 Mc
Mr
10.0 Mc
Mr
5.0 Mc
Mr
6.3 Mc
Mr
8.0 Mc
Mr
10.0 Mc
Mr
5.0 ¢Mc
Mr
6.3 Mc
Mr
8.0 Mc
Mr
10.0 Mc
Mr
HOT-FINISHED CELSIUS
Section Mass Axial load
per Capacity for
D t Metre
mm mm kg kN 0 0.1 0.2 0.3
219.1 26.4 1190 75 75 75 75
- - - -
33.1 1490 92.9 92.9 92.9 92.9
92.9 92.9 92.9 90.1
41.6 1890 115 115 115 115
115 115 115 113
51.6 2330 140 140 140 140
140 140 140 139
63.7 2880 169 169 169 169
169 169 169 169
244.5 68.8 3110 207 207 207 207
207 207 207 205
273 33 1490 116 116 116 116
- - - -
41.4 1870 147 147 147 147
- - - -
52.3 2360 183 183 183 183
183 183 183 178
64.9 2930 223 223 223 223
223 223 223 219
80.3 3630 271 271 271 271
271 271 271 269
101 4590 334 334 334 334
334 334 334 334
323.9 49.3 2230 209 209 209 209
- - - -
62.3 2820 261 261 261 261
- - - -
77.4 3500 320 320 320 320
320 320 320 312
96 4340 391 391 391 391
391 391 391 384
122 5500 484 484 484 484
484 484 484 480
BS 5950-1: 2000 AXIAL LOAD & BENDINGBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS SUBJECTTO AXIAL LOAD (COMPRESSION OR TENSION) AND BENDING
CROSS-SECTION CAPACITY CHECK
RESISTANCES AND CAPACITIES FOR S355
Section Mass Axial load
per Capacity for
D t Metre
Moment Capacity M
Designation
Pz = Agpy Ratios of Axial Load to Axial Load Capacity F/P
F/Pz
5.0 ¢Mc
Mr
6.3 Mc
Mr
8.0 Mc
Mr
10.0 Mc
Mr
12.5 Mc
Mr
12.0 Mc
Mr
5.0 ¢Mc
Mr
6.3 ¢Mc
Mr
8.0 Mc
Mr
10.0 Mc
Mr
12.5 Mc
Mr
16.0 Mc
Mr
6.3 ¢Mc
Mr
8.0 ¢Mc
Mr
10.0 Mc
Mr
12.5 Mc
Mr
16.0 Mc
Mr
HOT-FINISHED CELSIUS
Moment Capacity M
Designation
Pz = Agpy Ratios of Axial Load to Axial Load Capacity F/P
mm mm kg kN 0 0.1 0.2 0.3
406.4 62.2 2810 313 313 313 313
- - - -
78.6 3550 417 417 417 417
- - - -
97.8 4440 513 513 513 513
- - - -
121 5500 630 630 630 630
630 630 630 614
154 6960 785 785 785 785
785 785 785 772
457 88.6 4000 515 515 515 515
- - - -
110 4970 654 654 654 654
- - - -
137 6210 804 804 804 804
804 804 804 781
174 7880 1010 1010 1010 1010
1010 1010 1010 985
508 98.6 4460 622 622 622 622
- - - -
123 5540 814 814 814 814
- - - -
153 6920 1000 1000 1000 1000
- - - -
194 8770 1260 1260 1260 1260
1260 1260 1260 1230
241 10600 1490 1490 1490 1490
1490 1490 1490 1470
F/Pz
* 6.3 ¢Mc
Mr
8.0 ¢Mc
Mr
10.0 ¢Mc
Mr
12.5 Mc
Mr
16.0 Mc
Mr
8.0 ¢Mc
Mr
10.0 ¢Mc
Mr
12.5 Mc
Mr
16.0 Mc
Mr
* 8.0 ¢Mc
Mr
10.0 ¢Mc
Mr
12.5 ¢Mc
Mr
16.0 Mc
Mr
20.0 Mc
Mr
AXIAL LOAD & BENDING BS 5950-1: 2000
BS EN 10210-2: 1997
<>CIRCULAR HOLLOW SECTIONS SUBJECT
TO AXIAL LOAD (COMPRESSION OR TENSION) AND BENDING
CROSS-SECTION CAPACITY CHECK
RESISTANCES AND CAPACITIES FOR S355
Section Designation
for and Capacities
D t
0.4 0.5 0.6 0.7 0.8 0.9 1 mm mm
0.541 0.541 0.541 0.541 0.541 0.541 0.541 26.9
0.52 0.454 0.378 0.292 0.199 0.101 0
1.53 1.53 1.53 1.53 1.53 1.53 1.53 42.4
1.42 1.24 1.03 0.795 0.541 0.274 0
2.04 2.04 2.04 2.04 2.04 2.04 2.04 48.3
1.87 1.64 1.36 1.05 0.715 0.362 0
2.43 2.43 2.43 2.43 2.43 2.43 2.43
2.26 1.98 1.64 1.27 0.863 0.437 0
2.85 2.85 2.85 2.85 2.85 2.85 2.85
2.71 2.36 1.97 1.52 1.03 0.523 0
3.31 3.31 3.31 3.31 3.31 3.31 3.31 60.3
2.99 2.61 2.17 1.68 1.14 0.578 0
4.73 4.73 4.73 4.73 4.73 4.73 4.73
4.39 3.84 3.19 2.47 1.68 0.85 0
5.03 5.03 5.03 5.03 5.03 5.03 5.03 76.1
4.45 3.89 3.23 2.5 1.7 0.861 0
5.45 5.45 5.45 5.45 5.45 5.45 5.45
4.88 4.27 3.55 2.74 1.86 0.944 0
6.6 6.6 6.6 6.6 6.6 6.6 6.6
5.97 5.22 4.34 3.35 2.28 1.16 0
7.92 7.92 7.92 7.92 7.92 7.92 7.92
7.27 6.35 5.28 4.08 2.78 1.41 0
7.58 7.58 7.58 7.58 7.58 7.58 7.58 88.9
6.75 5.9 4.9 3.79 2.58 1.31 0
9.24 9.24 9.24 9.24 9.24 9.24 9.24
8.3 7.25 6.03 4.66 3.17 1.6 0
11.2 11.2 11.2 11.2 11.2 11.2 11.2
10.1 8.84 7.34 5.67 3.86 1.95 0
13.4 13.4 13.4 13.4 13.4 13.4 13.4
12.4 10.8 8.99 6.95 4.73 2.39 0
AXIAL LOAD & BENDING BS 5950-1: 2000
BS EN 10210-2: 1997
<>CIRCULAR HOLLOW SECTIONS SUBJECT
TO AXIAL LOAD (COMPRESSION OR TENSION) AND BENDING
HOT-FINISHED CELSIUS
Moment Capacity Mcx, Mcy (kNm) and Reduced Moment Capacity Mrx, Mry (kNm)
Ratios of Axial Load to Axial Load Capacity F/Pz
3.2
pyZ = 0.451
3.2
pyZ = 1.27
3.2
pyZ = 1.7
4.0
pyZ = 2.02
5.0
pyZ = 2.37
3.2
pyZ = 2.76
5.0
pyZ = 3.94
2.9 ^
pyZ = 4.19
3.2
pyZ = 4.54
4.0
pyZ = 5.5
5.0
pyZ = 6.6
3.2
pyZ = 6.32
4.0
pyZ = 7.7
5.0
pyZ = 9.3
6.3
pyZ = 11.2
HOT-FINISHED CELSIUS
CROSS-SECTION CAPACITY CHECK
RESISTANCES AND CAPACITIES FOR S355
Section Designation
for and Capacities
D t
0.4 0.5 0.6 0.7 0.8 0.9 1 mm mm
12.9 12.9 12.9 12.9 12.9 12.9 12.9 114.3
11.3 9.92 8.24 6.37 4.33 2.19 0
14.3 14.3 14.3 14.3 14.3 14.3 14.3
12.7 11.1 9.2 7.11 4.84 2.45 0
19.2 19.2 19.2 19.2 19.2 19.2 19.2
17.2 15 12.5 9.64 6.56 3.32 0
23.3 23.3 23.3 23.3 23.3 23.3 23.3
21.1 18.5 15.4 11.9 8.07 4.09 0
29.3 29.3 29.3 29.3 29.3 29.3 29.3 139.7
26.1 22.8 18.9 14.6 9.96 5.04 0
35.9 35.9 35.9 35.9 35.9 35.9 35.9
32.2 28.2 23.4 18.1 12.3 6.23 0
43.9 43.9 43.9 43.9 43.9 43.9 43.9
39.9 34.9 29 22.4 15.2 7.71 0
52.6 52.6 52.6 52.6 52.6 52.6 52.6
48.4 42.3 35.2 27.2 18.5 9.36 0
43.5 43.5 43.5 43.5 43.5 43.5 43.5 168.3
38.2 33.4 27.8 21.4 14.6 7.39 0
53.3 53.3 53.3 53.3 53.3 53.3 53.3
47.4 41.4 34.4 26.6 18.1 9.16 0
65.6 65.6 65.6 65.6 65.6 65.6 65.6
59.2 51.7 43 33.2 22.6 11.4 0
79.2 79.2 79.2 79.2 79.2 79.2 79.2
72.1 63 52.4 40.5 27.5 13.9 0
57.9 57.9 57.9 57.9 57.9 57.9 57.9 193.7
- - - - - - -
71.6 71.6 71.6 71.6 71.6 71.6 71.6
63.5 55.5 46.1 35.6 24.2 12.3 0
88.6 88.6 88.6 88.6 88.6 88.6 88.6
79.3 69.3 57.6 44.5 30.3 15.3 0
107 107 107 107 107 107 107
97.1 84.8 70.5 54.5 37.1 18.8 0
AXIAL LOAD & BENDING BS 5950-1: 2000
BS EN 10210-2: 1997
<>CIRCULAR HOLLOW SECTIONS SUBJECT
TO AXIAL LOAD (COMPRESSION OR TENSION) AND BENDING
CROSS-SECTION CAPACITY CHECK
RESISTANCES AND CAPACITIES FOR S355
Moment Capacity Mcx, Mcy (kNm) and Reduced Moment Capacity Mrx, Mry (kNm)
Ratios of Axial Load to Axial Load Capacity F/Pz
3.2
pyZ = 10.7
3.6
pyZ = 11.9
5.0
pyZ = 16.0
6.3
pyZ = 19.4
5.0
pyZ = 24.4
6.3
pyZ = 29.9
8.0
pyZ = 36.6
10.0
pyZ = 43.8
5.0
pyZ = 36.2
6.3
pyZ = 44.4
8.0
pyZ = 54.7
10.0
pyZ = 66.0
5.0
pyZ = 48.3
6.3
pyZ = 59.6
8.0
pyZ = 73.8
10.0
pyZ = 89.5
HOT-FINISHED CELSIUS
Section Designation
for and Capacities
D t
0.4 0.5 0.6 0.7 0.8 0.9 1 mm mm
75 75 75 75 75 75 75 219.1
- - - - - - -
92.9 92.9 92.9 92.9 92.9 92.9 92.9
81.9 71.5 59.5 45.9 31.3 15.8 0
115 115 115 115 115 115 115
103 89.6 74.5 57.5 39.2 19.8 0
140 140 140 140 140 140 140
126 110 91.4 70.6 48 24.3 0
169 169 169 169 169 169 169
153 134 111 86.1 58.6 29.7 0
207 207 207 207 207 207 207 244.5
186 163 135 105 71.2 36 0
116 116 116 116 116 116 116 273
- - - - - - -
147 147 147 147 147 147 147
- - - - - - -
183 183 183 183 183 183 183
161 141 117 90.6 61.7 31.2 0
223 223 223 223 223 223 223
199 174 144 112 75.9 38.4 0
271 271 271 271 271 271 271
244 213 177 137 93.1 47.1 0
334 334 334 334 334 334 334
304 266 221 171 116 58.8 0
209 209 209 209 209 209 209 323.9
- - - - - - -
261 261 261 261 261 261 261
- - - - - - -
320 320 320 320 320 320 320
283 248 206 159 108 54.8 0
391 391 391 391 391 391 391
348 304 253 195 133 67.4 0
484 484 484 484 484 484 484
436 381 317 245 167 84.3 0
AXIAL LOAD & BENDING BS 5950-1: 2000
BS EN 10210-2: 1997
<>CIRCULAR HOLLOW SECTIONS SUBJECT
TO AXIAL LOAD (COMPRESSION OR TENSION) AND BENDING
CROSS-SECTION CAPACITY CHECK
RESISTANCES AND CAPACITIES FOR S355
Section Designation
for and Capacities
D t
Moment Capacity Mcx, Mcy (kNm) and Reduced Moment Capacity Mrx, Mry (kNm)
Ratios of Axial Load to Axial Load Capacity F/Pz
5.0
pyZ = 62.5
6.3
pyZ = 77.4
8.0
pyZ = 95.9
10.0
pyZ = 116
12.5
pyZ = 141
12.0
pyZ = 173
5.0
pyZ = 98.3
6.3
pyZ = 122
8.0
pyZ = 152
10.0
pyZ = 186
12.5
pyZ = 226
16.0
pyZ = 278
6.3
pyZ = 174
8.0
pyZ = 217
10.0
pyZ = 267
12.5
pyZ = 326
16.0
pyZ = 403
HOT-FINISHED CELSIUS
Moment Capacity Mcx, Mcy (kNm) and Reduced Moment Capacity Mrx, Mry (kNm)
Ratios of Axial Load to Axial Load Capacity F/Pz
0.4 0.5 0.6 0.7 0.8 0.9 1 mm mm
313 313 313 313 313 313 313 406
- - - - - - -
417 417 417 417 417 417 417
- - - - - - -
513 513 513 513 513 513 513
- - - - - - -
630 630 630 630 630 630 630
557 487 405 313 213 108 0
785 785 785 785 785 785 785
701 612 509 393 268 136 0
515 515 515 515 515 515 515 457
- - - - - - -
654 654 654 654 654 654 654
- - - - - - -
804 804 804 804 804 804 804
709 620 515 398 271 137 0
1010 1010 1010 1010 1010 1010 1010
894 781 650 502 342 173 0
622 622 622 622 622 622 622 508
- - - - - - -
814 814 814 814 814 814 814
- - - - - - -
1000 1000 1000 1000 1000 1000 1000
- - - - - - -
1260 1260 1260 1260 1260 1260 1260
1110 972 808 624 425 215 0
1490 1490 1490 1490 1490 1490 1490
1330 1160 966 746 508 257 0
* 6.3
pyZ = 277
8.0
pyZ = 347
10.0
pyZ = 428
12.5
pyZ = 525
16.0
pyZ = 654
8.0
pyZ = 442
10.0
pyZ = 545
12.5
pyZ = 670
16.0
pyZ = 839
* 8.0
pyZ = 549
10.0
pyZ = 678
12.5
pyZ = 836
16.0
pyZ = 1050
20.0
pyZ = 1240
BS 5950-1: 2000 AXIAL LOAD & BENDINGBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS SUBJECTTO AXIAL COMPRESSION AND BENDING
MEMBER BUCKLING CHECK
RESISTANCES AND CAPACITIES FOR S355
Mass
per for
Metre
kg 1 1.5 2 2.5 3 3.5 4 5
1.87 30.5 14.3 8.21 5.31 3.71 2.74 2.1 1.35
3.09 104 59.1 35.2 23 16.2 12 9.25 5.97
3.56 132 85.6 52.4 34.6 24.5 18.2 14 9.05
4.37 161 102 62.3 41.1 29 21.5 16.6 10.7
5.34 194 121 73.4 48.4 34.1 25.3 19.5 12.6
4.51 183 147 99.5 67.6 48.3 36.1 27.9 18.1
6.82 275 215 143 96.9 69.1 51.5 39.8 25.8
5.24 223 202 164 120 88.5 66.9 52.1 34
5.75 245 222 179 132 96.6 73 56.9 37.1
7.11 302 273 218 160 117 88.3 68.8 44.9
8.77 372 334 265 193 141 107 82.9 54.1
6.76 293 275 243 195 149 115 90.3 59.4
8.38 364 341 300 239 182 140 110 72.4
10.4 448 419 367 291 221 170 133 87.6
12.8 553 516 448 353 267 205 160 105
BS 5950-1: 2000 AXIAL LOAD & BENDINGBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS SUBJECTTO AXIAL COMPRESSION AND BENDING
HOT-FINISHED CELSIUS
Compression Resistance Pc (kN)
Varying effective lengths Le (m)
HOT-FINISHED CELSIUS
MEMBER BUCKLING CHECK
RESISTANCES AND CAPACITIES FOR S355
Mass
per for
Metre
kg 1 1.5 2 2.5 3 3.5 4 5
8.77 389 375 355 323 278 229 186 126
9.83 434 418 396 360 309 254 206 139
13.5 596 574 543 492 420 343 278 187
16.8 741 713 672 607 515 419 338 228
16.6 743 724 700 666 616 548 470 334
20.7 925 901 870 827 763 675 577 409
26 1160 1130 1090 1030 949 836 712 502
32 1420 1390 1340 1260 1160 1010 859 603
20.1 908 891 870 844 810 762 700 547
25.2 1130 1110 1090 1050 1010 948 868 674
31.6 1420 1390 1360 1320 1260 1180 1080 834
39 1750 1720 1680 1620 1550 1450 1320 1010
23.3 1050 1030 1020 993 965 929 882 749
29.1 1320 1300 1270 1240 1210 1160 1100 933
36.6 1660 1630 1600 1560 1520 1460 1380 1160
45.3 2050 2010 1970 1930 1870 1800 1700 1420
BS 5950-1: 2000 AXIAL LOAD & BENDINGBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS SUBJECTTO AXIAL COMPRESSION AND BENDING
MEMBER BUCKLING CHECK
RESISTANCES AND CAPACITIES FOR S355
Compression Resistance Pc (kN)
Varying effective lengths Le (m)
HOT-FINISHED CELSIUS
Mass
per for
Metre
kg 2 3 4 5 6 7 8 9
26.4 1160 1120 1050 947 800 648 523 426
33.1 1460 1400 1320 1180 996 806 649 528
41.6 1840 1760 1660 1480 1240 1000 808 657
51.6 2270 2180 2040 1820 1520 1220 983 799
63.7 2800 2690 2510 2230 1850 1490 1190 967
68.8 3050 2950 2810 2600 2280 1910 1570 1290
33 1480 1440 1390 1320 1220 1080 926 780
41.4 1850 1800 1740 1650 1520 1350 1150 970
52.3 2330 2270 2190 2080 1920 1690 1440 1210
64.9 2890 2820 2720 2570 2370 2080 1770 1490
80.3 3580 3480 3360 3180 2910 2550 2170 1810
101 4520 4390 4230 4000 3650 3180 2690 2240
49.3 2220 2180 2120 2050 1960 1830 1670 1470
62.3 2800 2750 2680 2590 2480 2320 2100 1860
77.4 3480 3410 3320 3210 3070 2860 2590 2280
96 4310 4220 4120 3980 3790 3530 3190 2800
122 5460 5340 5210 5030 4780 4440 4000 3500
BS 5950-1: 2000 AXIAL LOAD & BENDINGBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS SUBJECTTO AXIAL COMPRESSION AND BENDING
MEMBER BUCKLING CHECK
RESISTANCES AND CAPACITIES FOR S355
Mass
per for
Metre
Compression Resistance Pc (kN)
Varying effective lengths Le (m)
HOT-FINISHED CELSIUS
Compression Resistance Pc (kN)
Varying effective lengths Le (m)
kg 2 3 4 5 6 7 8 9
62.2 2760 2720 2680 2620 2560 2480 2380 2250
78.6 3550 3510 3450 3380 3300 3190 3060 2880
97.8 4440 4380 4300 4220 4110 3980 3810 3590
121 5500 5430 5330 5220 5090 4930 4710 4430
154 6960 6860 6740 6600 6430 6220 5930 5570
88.6 4000 3970 3920 3850 3780 3690 3590 3450
110 4970 4930 4860 4780 4690 4580 4440 4270
137 6210 6160 6070 5970 5860 5720 5540 5320
174 7880 7810 7700 7570 7420 7240 7020 6740
98.6 4410 4390 4340 4280 4210 4140 4050 3940
123 5540 5520 5450 5370 5290 5190 5080 4940
153 6920 6890 6810 6710 6610 6480 6340 6160
194 8770 8730 8620 8500 8360 8210 8020 7790
241 10600 10500 10400 10300 10100 9920 9690 9420
<>
for
6 7 8 9 10
0.942 0.694 0.532 0.421 0.341
4.17 3.07 2.36 1.87 1.52
6.33 4.67 3.59 2.84 2.3
7.49 5.53 4.25 3.36 2.73
8.81 6.5 4.99 3.95 3.21
12.7 9.36 7.2 5.71 4.63
18.1 13.4 10.3 8.14 6.61
23.9 17.7 13.6 10.8 8.79
26.1 19.3 14.9 11.8 9.59
31.5 23.3 18 14.3 11.6
38 28.1 21.6 17.2 14
41.9 31.1 24 19 15.5
51 37.8 29.2 23.2 18.8
61.7 45.8 35.3 28 22.8
74.3 55.1 42.4 33.7 27.4
<>
Compression Resistance Pc (kN)
Varying effective lengths Le (m)
for
6 7 8 9 10
89.5 66.7 51.6 41.1 33.5
99.4 74.1 57.3 45.6 37.2
133 99.5 76.9 61.2 49.9
162 121 93.3 74.3 60.5
243 182 142 113 92.3
296 223 173 138 113
363 273 212 169 138
436 327 254 202 165
412 315 247 198 162
507 387 303 243 199
626 477 373 299 245
758 577 451 361 296
595 466 369 298 245
740 578 458 369 303
918 716 567 457 375
1120 869 687 553 454
<>
Compression Resistance Pc (kN)
Varying effective lengths Le (m)
for
10 11 12 13 14
351 294 250 215 186
436 365 310 266 231
542 454 385 331 287
659 552 468 402 349
797 667 566 486 421
1070 898 764 657 571
657 557 476 411 358
817 692 591 510 444
1020 863 737 636 554
1250 1060 904 780 679
1520 1290 1100 948 825
1880 1590 1360 1170 1020
1280 1100 956 831 728
1610 1390 1210 1050 919
1980 1710 1480 1280 1120
2420 2090 1800 1570 1370
3020 2600 2250 1950 1700
<>
for
Compression Resistance Pc (kN)
Varying effective lengths Le (m)
Compression Resistance Pc (kN)
Varying effective lengths Le (m)
10 11 12 13 14
2090 1900 1710 1530 1360
2670 2430 2180 1940 1730
3310 3010 2690 2400 2130
4080 3700 3310 2940 2610
5130 4630 4140 3680 3260
3280 3070 2830 2590 2340
4050 3790 3490 3180 2880
5050 4720 4340 3950 3560
6380 5950 5470 4970 4480
3810 3650 3450 3230 2980
4760 4550 4300 4010 3700
5940 5670 5350 4980 4590
7510 7160 6740 6270 5770
9080 8670 8180 7620 7030
BS 5950-1: 2000 AXIAL LOAD & BENDINGBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS SUBJECTTO AXIAL LOAD (COMPRESSION OR TENSION) AND BENDING
CROSS-SECTION CAPACITY CHECK
RESISTANCES AND CAPACITIES FOR S275
Section Mass Axial load
per Capacity for
D t Metre
mm mm kg kN 0 0.1 0.2 0.3
26.9 1.87 65.5 0.419 0.419 0.419 0.419
0.419 0.419 0.419 0.419
42.4 3.09 108 1.18 1.18 1.18 1.18
1.18 1.18 1.18 1.18
48.3 3.56 125 1.58 1.58 1.58 1.58
1.58 1.58 1.58 1.58
4.37 153 1.88 1.88 1.88 1.88
1.88 1.88 1.88 1.88
5.34 187 2.21 2.21 2.21 2.21
2.21 2.21 2.21 2.21
60.3 4.51 158 2.57 2.57 2.57 2.57
2.57 2.57 2.57 2.55
6.82 239 3.66 3.66 3.66 3.66
3.66 3.66 3.66 3.66
76.1 5.24 183 3.89 3.89 3.89 3.89
3.89 3.89 3.89 3.8
5.75 202 4.22 4.22 4.22 4.22
4.22 4.22 4.22 4.17
7.11 249 5.12 5.12 5.12 5.12
5.12 5.12 5.12 5.1
8.77 307 6.14 6.14 6.14 6.14
6.14 6.14 6.14 6.14
88.9 6.76 237 5.87 5.87 5.87 5.87
5.87 5.87 5.87 5.76
8.38 294 7.16 7.16 7.16 7.16
7.16 7.16 7.16 7.08
10.4 363 8.65 8.65 8.65 8.65
8.65 8.65 8.65 8.62
12.8 448 10.4 10.4 10.4 10.4
10.4 10.4 10.4 10.4
BS 5950-1: 2000 AXIAL LOAD & BENDINGBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS SUBJECTTO AXIAL LOAD (COMPRESSION OR TENSION) AND BENDING
HOT-FINISHED CELSIUS
Moment Capacity M
Designation
Pz = Agpy Ratios of Axial Load to Axial Load Capacity F/P
F/Pz
3.2 ~ Mc
Mr
3.2 ~ Mc
Mr
3.2 ~ Mc
Mr
4.0 ~ Mc
Mr
5.0 ~ Mc
Mr
3.2 ~ Mc
Mr
5.0 ~ Mc
Mr
2.9 Mc
Mr
3.2 ~ Mc
Mr
4.0 ~ Mc
Mr
5.0 ~ Mc
Mr
3.2 ~ Mc
Mr
4.0 ~ Mc
Mr
5.0 ~ Mc
Mr
6.3 ~ Mc
Mr
HOT-FINISHED CELSIUS
CROSS-SECTION CAPACITY CHECK
RESISTANCES AND CAPACITIES FOR S275
Section Mass Axial load
per Capacity for
D t Metre
mm mm kg kN 0 0.1 0.2 0.3
114.3 8.77 308 9.97 9.97 9.97 9.97
9.97 9.97 9.97 9.68
9.83 344 11.1 11.1 11.1 11.1
11.1 11.1 11.1 10.8
13.5 473 14.9 14.9 14.9 14.9
14.9 14.9 14.9 14.7
16.8 589 18.1 18.1 18.1 18.1
18.1 18.1 18.1 18
139.7 16.6 583 22.7 22.7 22.7 22.7
22.7 22.7 22.7 22.2
20.7 726 27.8 27.8 27.8 27.8
27.8 27.8 27.8 27.5
26 910 34 34 34 34
34 34 34 34
32 1120 40.7 40.7 40.7 40.7
40.7 40.7 40.7 40.7
168.3 20.1 707 33.7 33.7 33.7 33.7
33.7 33.7 33.7 32.6
25.2 883 41.3 41.3 41.3 41.3
41.3 41.3 41.3 40.4
31.6 1110 50.8 50.8 50.8 50.8
50.8 50.8 50.8 50.5
39 1370 61.4 61.4 61.4 61.4
61.4 61.4 61.4 61.4
193.7 23.3 814 44.9 44.9 44.9 44.9
44.9 44.9 44.9 43.6
29.1 1020 55.4 55.4 55.4 55.4
55.4 55.4 55.4 54.2
36.6 1280 68.6 68.6 68.6 68.6
68.6 68.6 68.6 67.6
45.3 1590 83.2 83.2 83.2 83.2
83.2 83.2 83.2 82.8
BS 5950-1: 2000 AXIAL LOAD & BENDINGBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS SUBJECTTO AXIAL LOAD (COMPRESSION OR TENSION) AND BENDING
CROSS-SECTION CAPACITY CHECK
RESISTANCES AND CAPACITIES FOR S275
Moment Capacity M
Designation
Pz = Agpy Ratios of Axial Load to Axial Load Capacity F/P
F/Pz
3.2 ~ Mc
Mr
3.6 Mc
Mr
5.0 Mc
Mr
6.3 Mc
Mr
5.0 Mc
Mr
6.3 Mc
Mr
8.0 ~ Mc
Mr
10.0 ~ Mc
Mr
5.0 ~ Mc
Mr
6.3 ~ Mc
Mr
8.0 ~ Mc
Mr
10.0 ~ Mc
Mr
5.0 ~ Mc
Mr
6.3 ~ Mc
Mr
8.0 ~ Mc
Mr
10.0 ~ Mc
Mr
HOT-FINISHED CELSIUS
Section Mass Axial load
per Capacity for
D t Metre
mm mm kg kN 0 0.1 0.2 0.3
219.1 26.4 924 58.1 58.1 58.1 58.1
58.1 58.1 58.1 56.1
33.1 1160 71.9 71.9 71.9 71.9
71.9 71.9 71.9 69.8
41.6 1460 89.1 89.1 89.1 89.1
89.1 89.1 89.1 87.5
51.6 1810 108 108 108 108
108 108 108 107
63.7 2230 131 131 131 131
131 131 131 131
244.5 68.8 2410 160 160 160 160
160 160 160 159
273 33 1160 91.4 91.4 91.4 91.4
- - - -
41.4 1450 114 114 114 114
114 114 114 110
52.3 1830 142 142 142 142
142 142 142 138
64.9 2270 173 173 173 173
173 173 173 170
80.3 2810 210 210 210 210
210 210 210 208
101 3550 259 259 259 259
259 259 259 259
323.9 49.3 1730 162 162 162 162
- - - -
62.3 2180 202 202 202 202
202 202 202 196
77.4 2710 248 248 248 248
248 248 248 242
96 3360 303 303 303 303
303 303 303 297
122 4260 375 375 375 375
375 375 375 372
BS 5950-1: 2000 AXIAL LOAD & BENDINGBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS SUBJECTTO AXIAL LOAD (COMPRESSION OR TENSION) AND BENDING
CROSS-SECTION CAPACITY CHECK
RESISTANCES AND CAPACITIES FOR S275
Section Mass Axial load
per Capacity for
D t Metre
Moment Capacity M
Designation
Pz = Agpy Ratios of Axial Load to Axial Load Capacity F/P
F/Pz
5.0 ~ Mc
Mr
6.3 ~ Mc
Mr
8.0 ~ Mc
Mr
10.0 ~ Mc
Mr
12.5 ~ Mc
Mr
12.0 ~ Mc
Mr
5.0 ~ ¢Mc
Mr
6.3 Mc
Mr
8.0 ~ Mc
Mr
10.0 Mc
Mr
12.5 Mc
Mr
16.0 ~ Mc
Mr
6.3 ~ ¢Mc
Mr
8.0 ~ Mc
Mr
10.0 ~ Mc
Mr
12.5 ~ Mc
Mr
16.0 Mc
Mr
HOT-FINISHED CELSIUS
Moment Capacity M
Designation
Pz = Agpy Ratios of Axial Load to Axial Load Capacity F/P
mm mm kg kN 0 0.1 0.2 0.3
406.4 62.2 2180 257 257 257 257
- - - -
78.6 2750 323 323 323 323
- - - -
97.8 3440 398 398 398 398
398 398 398 385
121 4260 488 488 488 488
488 488 488 475
154 5390 608 608 608 608
608 608 608 598
457 88.6 3100 411 411 411 411
- - - -
110 3850 507 507 507 507
507 507 507 490
137 4810 623 623 623 623
623 623 623 605
174 6110 780 780 780 780
780 780 780 763
508 98.6 3460 510 510 510 510
- - - -
123 4290 630 630 630 630
- - - -
153 5360 777 777 777 777
777 777 777 752
194 6790 973 973 973 973
973 973 973 949
241 8140 1140 1140 1140 1140
1140 1140 1140 1130
F/Pz
6.3 ~ ¢Mc
Mr
8.0 ~ ¢Mc
Mr
10.0 ~ Mc
Mr
12.5 ~ Mc
Mr
16.0 Mc
Mr
8.0 ~ ¢Mc
Mr
10.0 ~ Mc
Mr
12.5 ~ Mc
Mr
16.0 Mc
Mr
8.0 ~ ¢Mc
Mr
10.0 ~ ¢Mc
Mr
12.5 Mc
Mr
16.0 ~ Mc
Mr
20.0 ~ Mc
Mr
AXIAL LOAD & BENDING BS 5950-1: 2000
BS EN 10210-2: 1997
<>CIRCULAR HOLLOW SECTIONS SUBJECT
TO AXIAL LOAD (COMPRESSION OR TENSION) AND BENDING
CROSS-SECTION CAPACITY CHECK
RESISTANCES AND CAPACITIES FOR S275
Section Designation
for and Capacities
D t
0.4 0.5 0.6 0.7 0.8 0.9 1 mm mm
0.419 0.419 0.419 0.419 0.419 0.419 0.419 26.9
0.403 0.352 0.293 0.226 0.154 0.078 0
1.18 1.18 1.18 1.18 1.18 1.18 1.18 42.4
1.1 0.959 0.797 0.615 0.419 0.212 0
1.58 1.58 1.58 1.58 1.58 1.58 1.58 48.3
1.45 1.27 1.05 0.814 0.554 0.28 0
1.88 1.88 1.88 1.88 1.88 1.88 1.88
1.75 1.53 1.27 0.983 0.669 0.339 0
2.21 2.21 2.21 2.21 2.21 2.21 2.21
2.1 1.83 1.52 1.18 0.801 0.405 0
2.57 2.57 2.57 2.57 2.57 2.57 2.57 60.3
2.31 2.02 1.68 1.3 0.884 0.447 0
3.66 3.66 3.66 3.66 3.66 3.66 3.66
3.4 2.98 2.47 1.91 1.3 0.658 0
3.89 3.89 3.89 3.89 3.89 3.89 3.89 76.1
3.45 3.01 2.51 1.94 1.32 0.667 0
4.22 4.22 4.22 4.22 4.22 4.22 4.22
3.78 3.31 2.75 2.12 1.44 0.731 0
5.12 5.12 5.12 5.12 5.12 5.12 5.12
4.63 4.04 3.36 2.6 1.77 0.895 0
6.14 6.14 6.14 6.14 6.14 6.14 6.14
5.63 4.92 4.09 3.16 2.15 1.09 0
5.87 5.87 5.87 5.87 5.87 5.87 5.87 88.9
5.23 4.57 3.8 2.93 2 1.01 0
7.16 7.16 7.16 7.16 7.16 7.16 7.16
6.43 5.62 4.67 3.61 2.46 1.24 0
8.65 8.65 8.65 8.65 8.65 8.65 8.65
7.83 6.84 5.69 4.39 2.99 1.51 0
10.4 10.4 10.4 10.4 10.4 10.4 10.4
9.59 8.38 6.97 5.38 3.66 1.85 0
AXIAL LOAD & BENDING BS 5950-1: 2000
BS EN 10210-2: 1997
<>CIRCULAR HOLLOW SECTIONS SUBJECT
TO AXIAL LOAD (COMPRESSION OR TENSION) AND BENDING
HOT-FINISHED CELSIUS
Moment Capacity Mcx, Mcy (kNm) and Reduced Moment Capacity Mrx, Mry (kNm)
Ratios of Axial Load to Axial Load Capacity F/Pz
3.2 ~
pyZ = 0.349
3.2 ~
pyZ = 0.987
3.2 ~
pyZ = 1.32
4.0 ~
pyZ = 1.57
5.0 ~
pyZ = 1.84
3.2 ~
pyZ = 2.14
5.0 ~
pyZ = 3.05
2.9
pyZ = 3.25
3.2 ~
pyZ = 3.52
4.0 ~
pyZ = 4.26
5.0 ~
pyZ = 5.12
3.2 ~
pyZ = 4.9
4.0 ~
pyZ = 5.97
5.0 ~
pyZ = 7.21
6.3 ~
pyZ = 8.66
HOT-FINISHED CELSIUS
CROSS-SECTION CAPACITY CHECK
RESISTANCES AND CAPACITIES FOR S275
Section Designation
for and Capacities
D t
0.4 0.5 0.6 0.7 0.8 0.9 1 mm mm
9.97 9.97 9.97 9.97 9.97 9.97 9.97 114.3
8.79 7.68 6.38 4.93 3.36 1.7 0
11.1 11.1 11.1 11.1 11.1 11.1 11.1
9.81 8.58 7.13 5.51 3.75 1.9 0
14.9 14.9 14.9 14.9 14.9 14.9 14.9
13.3 11.6 9.67 7.47 5.08 2.57 0
18.1 18.1 18.1 18.1 18.1 18.1 18.1
16.4 14.3 11.9 9.19 6.25 3.17 0
22.7 22.7 22.7 22.7 22.7 22.7 22.7 139.7
20.2 17.7 14.7 11.3 7.72 3.91 0
27.8 27.8 27.8 27.8 27.8 27.8 27.8
25 21.8 18.1 14 9.53 4.83 0
34 34 34 34 34 34 34
30.9 27 22.5 17.3 11.8 5.98 0
40.7 40.7 40.7 40.7 40.7 40.7 40.7
37.5 32.8 27.3 21 14.3 7.25 0
33.7 33.7 33.7 33.7 33.7 33.7 33.7 168.3
29.6 25.9 21.5 16.6 11.3 5.72 0
41.3 41.3 41.3 41.3 41.3 41.3 41.3
36.7 32.1 26.7 20.6 14 7.1 0
50.8 50.8 50.8 50.8 50.8 50.8 50.8
45.8 40.1 33.3 25.7 17.5 8.86 0
61.4 61.4 61.4 61.4 61.4 61.4 61.4
55.8 48.8 40.6 31.3 21.3 10.8 0
44.9 44.9 44.9 44.9 44.9 44.9 44.9 193.7
39.6 34.6 28.8 22.2 15.1 7.66 0
55.4 55.4 55.4 55.4 55.4 55.4 55.4
49.2 43 35.7 27.6 18.8 9.51 0
68.6 68.6 68.6 68.6 68.6 68.6 68.6
61.4 53.7 44.6 34.5 23.5 11.9 0
83.2 83.2 83.2 83.2 83.2 83.2 83.2
75.2 65.7 54.6 42.2 28.7 14.5 0
AXIAL LOAD & BENDING BS 5950-1: 2000
BS EN 10210-2: 1997
<>CIRCULAR HOLLOW SECTIONS SUBJECT
TO AXIAL LOAD (COMPRESSION OR TENSION) AND BENDING
CROSS-SECTION CAPACITY CHECK
RESISTANCES AND CAPACITIES FOR S275
Moment Capacity Mcx, Mcy (kNm) and Reduced Moment Capacity Mrx, Mry (kNm)
Ratios of Axial Load to Axial Load Capacity F/Pz
3.2 ~
pyZ = 8.31
3.6
pyZ = 9.24
5.0
pyZ = 12.4
6.3
pyZ = 15.0
5.0
pyZ = 18.9
6.3
pyZ = 23.2
8.0 ~
pyZ = 28.4
10.0 ~
pyZ = 33.9
5.0 ~
pyZ = 28.1
6.3 ~
pyZ = 34.4
8.0 ~
pyZ = 42.4
10.0 ~
pyZ = 51.2
5.0 ~
pyZ = 37.4
6.3 ~
pyZ = 46.2
8.0 ~
pyZ = 57.2
10.0 ~
pyZ = 69.3
HOT-FINISHED CELSIUS
Section Designation
for and Capacities
D t
0.4 0.5 0.6 0.7 0.8 0.9 1 mm mm
58.1 58.1 58.1 58.1 58.1 58.1 58.1 219.1
50.9 44.5 37 28.6 19.5 9.85 0
71.9 71.9 71.9 71.9 71.9 71.9 71.9
63.4 55.4 46.1 35.6 24.2 12.3 0
89.1 89.1 89.1 89.1 89.1 89.1 89.1
79.4 69.4 57.7 44.6 30.3 15.4 0
108 108 108 108 108 108 108
97.4 85.2 70.8 54.7 37.2 18.8 0
131 131 131 131 131 131 131
119 104 86.3 66.7 45.4 23 0
160 160 160 160 160 160 160 244.5
144 126 105 81 55.2 27.9 0
91.4 91.4 91.4 91.4 91.4 91.4 91.4 273
- - - - - - -
114 114 114 114 114 114 114
99.7 87.1 72.4 55.9 38.1 19.3 0
142 142 142 142 142 142 142
125 109 90.8 70.2 47.8 24.2 0
173 173 173 173 173 173 173
154 135 112 86.4 58.8 29.8 0
210 210 210 210 210 210 210
189 165 137 106 72.1 36.5 0
259 259 259 259 259 259 259
235 206 171 132 89.9 45.5 0
162 162 162 162 162 162 162 323.9
- - - - - - -
202 202 202 202 202 202 202
178 155 129 99.8 67.9 34.4 0
248 248 248 248 248 248 248
219 192 159 123 83.8 42.4 0
303 303 303 303 303 303 303
270 236 196 151 103 52.2 0
375 375 375 375 375 375 375
338 295 245 190 129 65.3 0
AXIAL LOAD & BENDING BS 5950-1: 2000
BS EN 10210-2: 1997
<>CIRCULAR HOLLOW SECTIONS SUBJECT
TO AXIAL LOAD (COMPRESSION OR TENSION) AND BENDING
CROSS-SECTION CAPACITY CHECK
RESISTANCES AND CAPACITIES FOR S275
Section Designation
for and Capacities
D t
Moment Capacity Mcx, Mcy (kNm) and Reduced Moment Capacity Mrx, Mry (kNm)
Ratios of Axial Load to Axial Load Capacity F/Pz
5.0 ~
pyZ = 48.4
6.3 ~
pyZ = 60.0
8.0 ~
pyZ = 74.3
10.0 ~
pyZ = 90.2
12.5 ~
pyZ = 109
12.0 ~
pyZ = 134
5.0 ~
pyZ = 76.2
6.3
pyZ = 94.6
8.0 ~
pyZ = 118
10.0
pyZ = 144
12.5
pyZ = 175
16.0 ~
pyZ = 216
6.3 ~
pyZ = 135
8.0 ~
pyZ = 168
10.0 ~
pyZ = 207
12.5 ~
pyZ = 252
16.0
pyZ = 312
HOT-FINISHED CELSIUS
Moment Capacity Mcx, Mcy (kNm) and Reduced Moment Capacity Mrx, Mry (kNm)
Ratios of Axial Load to Axial Load Capacity F/Pz
0.4 0.5 0.6 0.7 0.8 0.9 1 mm mm
257 257 257 257 257 257 257 406.4
- - - - - - -
323 323 323 323 323 323 323
- - - - - - -
398 398 398 398 398 398 398
350 306 254 196 134 67.6 0
488 488 488 488 488 488 488
432 377 314 242 165 83.5 0
608 608 608 608 608 608 608
543 474 394 305 207 105 0
411 411 411 411 411 411 411 457
- - - - - - -
507 507 507 507 507 507 507
445 389 323 249 170 86 0
623 623 623 623 623 623 623
550 480 399 308 210 106 0
780 780 780 780 780 780 780
693 605 503 389 265 134 0
510 510 510 510 510 510 510 508
- - - - - - -
630 630 630 630 630 630 630
- - - - - - -
777 777 777 777 777 777 777
683 597 496 383 261 132 0
973 973 973 973 973 973 973
862 753 626 484 329 167 0
1140 1140 1140 1140 1140 1140 1140
1020 893 742 573 390 198 0
6.3 ~
pyZ = 215
8.0 ~
pyZ = 269
10.0 ~
pyZ = 331
12.5 ~
pyZ = 406
16.0
pyZ = 507
8.0 ~
pyZ = 342
10.0 ~
pyZ = 422
12.5 ~
pyZ = 519
16.0
pyZ = 650
8.0 ~
pyZ = 425
10.0 ~
pyZ = 525
12.5
pyZ = 647
16.0 ~
pyZ = 811
20.0 ~
pyZ = 954
BS 5950-1: 2000 AXIAL LOAD & BENDINGBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS SUBJECTTO AXIAL COMPRESSION AND BENDING
MEMBER BUCKLING CHECK
RESISTANCES AND CAPACITIES FOR S275
Mass
per for
Metre
kg 1 1.5 2 2.5 3 3.5 4 5
1.87 28.9 14 8.08 5.25 3.68 2.72 2.09 1.35
3.09 86.6 55.4 34 22.5 15.9 11.8 9.15 5.92
3.56 107 77.8 50.1 33.7 24 17.9 13.8 8.96
4.37 130 93.3 59.7 40 28.4 21.2 16.4 10.6
5.34 158 111 70.5 47.1 33.4 24.9 19.3 12.5
4.51 144 124 91.6 64.6 46.8 35.2 27.4 17.8
6.82 217 183 133 92.9 67.1 50.4 39.1 25.5
5.24 174 161 140 110 83.9 64.5 50.7 33.4
5.75 191 177 153 121 91.6 70.3 55.3 36.4
7.11 236 218 187 147 111 85.2 66.9 44
8.77 291 268 229 178 134 103 80.7 53.1
6.76 229 217 199 170 138 109 86.8 57.9
8.38 284 269 245 210 168 133 106 70.6
10.4 349 331 301 256 205 161 128 85.5
12.8 431 407 369 312 248 195 155 103
BS 5950-1: 2000 AXIAL LOAD & BENDINGBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS SUBJECTTO AXIAL COMPRESSION AND BENDING
HOT-FINISHED CELSIUS
Compression Resistance Pc (kN)
Varying effective lengths Le (m)
HOT-FINISHED CELSIUS
MEMBER BUCKLING CHECK
RESISTANCES AND CAPACITIES FOR S275
Mass
per for
Metre
kg 1 1.5 2 2.5 3 3.5 4 5
8.77 303 293 280 262 237 205 172 120
9.83 338 327 313 292 263 228 191 134
13.5 464 449 429 400 359 309 258 180
16.8 577 558 532 495 442 378 315 219
16.6 578 564 548 527 499 460 413 312
20.7 720 702 681 655 618 569 509 382
26 902 880 853 818 771 707 629 470
32 1110 1080 1050 1000 943 862 763 566
20.1 707 693 679 661 640 613 578 485
25.2 882 866 847 825 798 763 719 600
31.6 1110 1090 1060 1030 999 955 897 744
39 1360 1340 1310 1270 1230 1170 1100 907
23.3 814 805 791 775 757 736 708 633
29.1 1020 1010 991 971 948 921 886 791
36.6 1280 1270 1250 1220 1190 1160 1110 989
45.3 1590 1570 1540 1510 1470 1420 1370 1210
BS 5950-1: 2000 AXIAL LOAD & BENDINGBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS SUBJECTTO AXIAL COMPRESSION AND BENDING
MEMBER BUCKLING CHECK
RESISTANCES AND CAPACITIES FOR S275
Compression Resistance Pc (kN)
Varying effective lengths Le (m)
HOT-FINISHED CELSIUS
Mass
per for
Metre
kg 2 3 4 5 6 7 8 9
26.4 906 875 834 774 689 587 488 405
33.1 1130 1100 1040 967 859 730 607 503
41.6 1430 1380 1310 1220 1080 912 756 626
51.6 1770 1710 1620 1500 1320 1110 922 762
63.7 2180 2100 2000 1840 1610 1360 1120 923
68.8 2370 2300 2210 2090 1910 1680 1440 1210
33 1150 1120 1090 1040 988 910 814 711
41.4 1440 1400 1360 1310 1240 1140 1020 886
52.3 1820 1770 1720 1650 1550 1430 1270 1110
64.9 2250 2190 2130 2040 1920 1760 1570 1360
80.3 2790 2720 2630 2520 2370 2170 1920 1670
101 3520 3430 3320 3170 2980 2710 2390 2070
49.3 1730 1690 1660 1610 1560 1480 1390 1270
62.3 2180 2140 2090 2030 1960 1870 1750 1610
77.4 2710 2650 2590 2520 2430 2320 2170 1980
96 3360 3290 3210 3120 3010 2860 2670 2440
122 4250 4160 4060 3950 3800 3610 3360 3060
BS 5950-1: 2000 AXIAL LOAD & BENDINGBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS SUBJECTTO AXIAL COMPRESSION AND BENDING
MEMBER BUCKLING CHECK
RESISTANCES AND CAPACITIES FOR S275
Mass
per for
Metre
Compression Resistance Pc (kN)
Varying effective lengths Le (m)
HOT-FINISHED CELSIUS
Compression Resistance Pc (kN)
Varying effective lengths Le (m)
kg 2 3 4 5 6 7 8 9
62.2 2180 2160 2120 2090 2040 1990 1930 1850
78.6 2750 2730 2690 2640 2580 2520 2440 2340
97.8 3440 3410 3350 3290 3220 3140 3040 2910
121 4260 4220 4150 4080 3990 3890 3760 3600
154 5390 5340 5250 5150 5040 4910 4740 4540
88.6 3100 3090 3050 3000 2950 2900 2830 2750
110 3850 3840 3780 3730 3660 3590 3510 3410
137 4810 4790 4730 4650 4570 4480 4380 4250
174 6110 6080 5990 5900 5800 5680 5540 5380
98.6 3460 3460 3420 3370 3330 3270 3210 3150
123 4290 4290 4240 4180 4130 4060 3980 3900
153 5360 5360 5300 5230 5150 5070 4980 4870
194 6790 6790 6710 6620 6520 6420 6300 6160
241 8140 8140 8040 7930 7820 7690 7550 7380
<>
for
6 7 8 9 10
0.938 0.691 0.53 0.42 0.34
4.14 3.05 2.35 1.86 1.51
6.27 4.63 3.56 2.82 2.29
7.43 5.49 4.22 3.34 2.72
8.73 6.45 4.96 3.93 3.19
12.5 9.27 7.14 5.66 4.6
17.9 13.2 10.2 8.08 6.57
23.6 17.5 13.5 10.7 8.72
25.7 19.1 14.7 11.7 9.51
31.1 23 17.8 14.1 11.5
37.4 27.8 21.4 17 13.8
41.1 30.6 23.6 18.8 15.3
50.1 37.3 28.8 22.9 18.7
60.6 45.1 34.8 27.7 22.6
72.9 54.3 41.9 33.3 27.1
<>
Compression Resistance Pc (kN)
Varying effective lengths Le (m)
for
6 7 8 9 10
86.9 65.2 50.7 40.4 33
96.5 72.5 56.3 44.9 36.7
130 97.3 75.6 60.3 49.2
158 118 91.7 73.2 59.7
232 177 138 111 90.7
284 216 169 135 111
348 264 207 166 135
419 318 248 199 162
383 300 238 192 158
473 369 293 236 194
584 456 361 291 239
709 552 436 352 289
534 434 351 287 237
665 540 436 356 294
828 670 540 441 364
1010 814 656 534 441
<>
Compression Resistance Pc (kN)
Varying effective lengths Le (m)
for
10 11 12 13 14
338 285 243 210 182
419 354 302 260 226
522 440 375 323 281
635 535 456 393 342
769 647 552 475 413
1020 864 740 639 557
613 528 456 396 347
763 656 567 492 431
953 819 707 614 537
1170 1010 867 753 659
1430 1220 1060 917 801
1770 1510 1300 1130 988
1150 1020 895 788 696
1450 1280 1130 995 879
1780 1570 1380 1220 1070
2180 1930 1690 1490 1310
2730 2410 2110 1850 1640
<>
for
Compression Resistance Pc (kN)
Varying effective lengths Le (m)
Compression Resistance Pc (kN)
Varying effective lengths Le (m)
10 11 12 13 14
1760 1640 1520 1390 1260
2220 2080 1920 1750 1590
2760 2580 2380 2170 1970
3410 3180 2930 2670 2420
4290 4000 3680 3340 3020
2650 2540 2400 2250 2090
3280 3140 2970 2780 2570
4090 3910 3690 3450 3190
5180 4940 4660 4350 4020
3060 2970 2860 2730 2580
3800 3680 3540 3370 3190
4740 4590 4410 4200 3970
5990 5800 5570 5300 5000
7190 6960 6690 6380 6030
BS 5950-1: 2000 BENDINGBS EN 10210-2: 1997 <>
CIRCULAR HOLLOW SECTIONSSUBJECT TO BENDING
MOMENT CAPACITY FOR S355
Section Mass Section Moment Second Moment Shear
Designation per Classification Capacity Of Area Value
D t Metre I
mm mm kg kNm kN
26.9 1.87 Plastic 0.541 1.7 30.4
42.4 3.09 Plastic 1.53 7.62 50.4
48.3 3.56 Plastic 2.04 11.6 57.9
4.37 Plastic 2.43 13.8 71.2
5.34 Plastic 2.85 16.2 86.9
60.3 4.51 Plastic 3.31 23.5 73.4
6.82 Plastic 4.73 33.5 111
76.1 5.24 Plastic 5.03 44.7 85.2
5.75 Plastic 5.45 48.8 93.7
7.11 Plastic 6.6 59.1 116
8.77 Plastic 7.92 70.9 143
88.9 6.76 Plastic 7.58 79.2 110
8.38 Plastic 9.24 96.3 137
10.4 Plastic 11.2 116 169
12.8 Plastic 13.4 140 208
114.3 8.77 Compact 12.9 172 143
9.83 Compact 14.3 192 160
13.5 Plastic 19.2 257 220
16.8 Plastic 23.3 313 273
139.7 16.6 Plastic 29.3 481 271
20.7 Plastic 35.9 589 337
26 Plastic 43.9 720 423
32 Plastic 52.6 862 520
168.3 20.1 Compact 43.5 856 328
25.2 Plastic 53.3 1050 410
31.6 Plastic 65.6 1300 515
39 Plastic 79.2 1560 635
193.7 23.3 Semi-compact 57.9 1320 378
29.1 Plastic 71.6 1630 474
36.6 Plastic 88.6 2020 597
45.3 Plastic 107 2440 737
219.1 26.4 Semi-compact 75 1930 429
33.1 Compact 92.9 2390 538
41.6 Plastic 115 2960 679
51.6 Plastic 140 3600 840
63.7 Plastic 169 4350 1040
HOT-FINISHED CELSIUS
Mc Pv
cm4
3.2
3.2
3.2
4.0
5.0
3.2
5.0
2.9 ^
3.2
4.0
5.0
3.2
4.0
5.0
6.3
3.2
3.6
5.0
6.3
5.0
6.3
8.0
10.0
5.0
6.3
8.0
10.0
5.0
6.3
8.0
10.0
5.0
6.3
8.0
10.0
12.5
BS 5950-1: 2000 BENDING <>BS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONSSUBJECT TO BENDING
MOMENT CAPACITY FOR S355
Section Mass Section Moment Second Moment Shear
Designation per Classification Capacity Of Area Value
D t Metre I
mm mm kg kNm kN
244.5 68.8 Plastic 207 5940 1120
273 33 Semi-compact 116 3780 538
41.4 Semi-compact 147 4700 675
52.3 Compact 183 5850 851
64.9 Plastic 223 7150 1060
80.3 Plastic 271 8700 1310
101 Plastic 334 10700 1650
323.9 49.3 Semi-compact 209 7930 804
62.3 Semi-compact 261 9910 1010
77.4 Compact 320 12200 1260
96 Plastic 391 14800 1560
122 Plastic 484 18400 1980
406.4 62.2 Semi-compact 313 15900 1010
78.6 Semi-compact 417 19900 1280
97.8 Semi-compact 513 24500 1600
121 Compact 630 30000 1980
154 Plastic 785 37500 2500
457 88.6 Semi-compact 515 28500 1440
110 Semi-compact 654 35100 1790
137 Compact 804 43100 2240
174 Plastic 1010 54000 2840
508 98.6 Semi-compact 622 39300 1610
123 Semi-compact 814 48500 1990
153 Semi-compact 1000 59800 2490
194 Compact 1260 74900 3160
241 Plastic 1490 91400 3810
HOT-FINISHED CELSIUS
Mc Pv
cm4
12.0
5.0
6.3
8.0
10.0
12.5
16.0
6.3
8.0
10.0
12.5
16.0
6.3
8.0
10.0
12.5
16.0
8.0
10.0
12.5
16.0
8.0
10.0
12.5
16.0
20.0
BS 5950-1: 2000 BENDING <>BS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONSSUBJECT TO BENDING
MOMENT CAPACITY FOR S275
Section Mass Section Moment Second Moment Shear
Designation per Classification Capacity Of Area Value
D t Metre I
mm mm kg kNm kN
26.9 1.87 Plastic 0.419 1.7 23.6
42.4 3.09 Plastic 1.18 7.62 39
48.3 3.56 Plastic 1.58 11.6 44.8
4.37 Plastic 1.88 13.8 55.1
5.34 Plastic 2.21 16.2 67.3
60.3 4.51 Plastic 2.57 23.5 56.8
6.82 Plastic 3.66 33.5 86
76.1 5.24 Plastic 3.89 44.7 66
5.75 Plastic 4.22 48.8 72.6
7.11 Plastic 5.12 59.1 89.7
8.77 Plastic 6.14 70.9 111
88.9 6.76 Plastic 5.87 79.2 85.3
8.38 Plastic 7.16 96.3 106
10.4 Plastic 8.65 116 131
12.8 Plastic 10.4 140 161
114.3 8.77 Plastic 9.97 172 111
9.83 Plastic 11.1 192 124
13.5 Plastic 14.9 257 170
16.8 Plastic 18.1 313 212
139.7 16.6 Plastic 22.7 481 210
20.7 Plastic 27.8 589 261
26 Plastic 34 720 328
32 Plastic 40.7 862 403
168.3 20.1 Plastic 33.7 856 254
25.2 Plastic 41.3 1053 318
31.6 Plastic 50.8 1297 399
39 Plastic 61.4 1564 492
193.7 23.3 Plastic 44.9 1320 293
29.1 Plastic 55.4 1630 367
36.6 Plastic 68.6 2016 462
45.3 Plastic 83.2 2442 571
219.1 26.4 Compact 58.1 1928 333
33.1 Plastic 71.9 2386 417
41.6 Plastic 89.1 2960 526
51.6 Plastic 108 3598 650
63.7 Plastic 131 4345 803
HOT-FINISHED CELSIUS
Mc Pv
cm4
3.2 ~
3.2 ~
3.2 ~
4.0 ~
5.0 ~
3.2 ~
5.0 ~
2.9
3.2 ~
4.0 ~
5.0 ~
3.2 ~
4.0 ~
5.0 ~
6.3 ~
3.2 ~
3.6
5.0
6.3
5.0
6.3
8.0 ~
10.0 ~
5.0 ~
6.3 ~
8.0 ~
10.0 ~
5.0 ~
6.3 ~
8.0 ~
10.0 ~
5.0 ~
6.3 ~
8.0 ~
10.0 ~
12.5 ~
BS 5950-1: 2000 BENDING <>BS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONSSUBJECT TO BENDING
MOMENT CAPACITY FOR S275
Section Mass Section Moment Second Moment Shear
Designation per Classification Capacity Of Area Value
D t Metre I
mm mm kg kNm kN
244.5 68.8 Plastic 160 5938 868
273 33 Semi-compact 91.4 3781 417
41.4 Compact 114 4696 523
52.3 Plastic 142 5852 659
64.9 Plastic 173 7154 818
80.3 Plastic 210 8697 1010
101 Plastic 259 10707 1280
323.9 49.3 Semi-compact 162 7929 623
62.3 Compact 202 9910 786
77.4 Plastic 248 12158 976
96 Plastic 303 14847 1210
122 Plastic 375 18390 1530
406.4 62.2 Semi-compact 257 15850 784
78.6 Semi-compact 323 19870 991
97.8 Compact 398 24480 1240
121 Plastic 488 30030 1530
154 Plastic 608 37450 1940
457 88.6 Semi-compact 411 28450 1120
110 Compact 507 35090 1390
137 Plastic 623 43140 1730
174 Plastic 780 54000 2200
508 98.6 Semi-compact 510 39280 1240
123 Semi-compact 630 48520 1540
153 Compact 777 59800 1930
194 Plastic 973 74910 2450
241 Plastic 1140 91430 2930
HOT-FINISHED CELSIUS
Mc Pv
cm4
12.0 ~
5.0 ~
6.3
8.0 ~
10.0
12.5
16.0 ~
6.3 ~
8.0 ~
10.0 ~
12.5 ~
16.0
6.3 ~
8.0 ~
10.0 ~
12.5 ~
16.0
8.0 ~
10.0 ~
12.5 ~
16.0
8.0 ~
10.0 ~
12.5
16.0 ~
20.0 ~
BS 5950-1: 2000 COMPRESSIONBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONSSUBJECT TO AXIAL COMPRESSION
COMPRESSION RESISTANCE FOR S355
Designation Mass
Outside Wall per for
Diameter Thickness Meter
D t 1 1.5 2 2.5 3 3.5
mm mm kg
26.9 1.87 30.5 14.3 8.21 5.31 3.71 2.74
42.4 3.09 104 59.1 35.2 23 16.2 12
48.3 3.56 132 85.6 52.4 34.6 24.5 18.2
4.37 161 102 62.3 41.1 29 21.5
5.34 194 121 73.4 48.4 34.1 25.3
60.3 4.51 183 147 99.5 67.6 48.3 36.1
6.82 275 215 143 96.9 69.1 51.5
76.1 5.24 223 202 164 120 88.5 66.9
5.75 245 222 179 132 96.6 73
7.11 302 273 218 160 117 88.3
8.77 372 334 265 193 141 107
88.9 6.76 293 275 243 195 149 115
8.38 364 341 300 239 182 140
10.4 448 419 367 291 221 170
12.8 553 516 448 353 267 205
114.3 8.77 389 375 355 323 278 229
9.83 434 418 396 360 309 254
13.5 596 574 543 492 420 343
16.8 741 713 672 607 515 419
139.7 16.6 743 724 700 666 616 548
20.7 925 901 870 827 763 675
26 1160 1130 1090 1030 949 836
32 1420 1390 1340 1260 1160 1010
168.3 20.1 908 891 870 844 810 762
25.2 1130 1110 1090 1050 1010 948
31.6 1420 1390 1360 1320 1260 1180
39 1750 1720 1680 1620 1550 1450
193.7 23.3 1050 1030 1020 993 965 929
29.1 1320 1300 1270 1240 1210 1160
36.6 1660 1630 1600 1560 1520 1460
45.3 2050 2010 1970 1930 1870 1800
BS 5950-1: 2000 COMPRESSIONBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS
HOT-FINISHED CELSIUS
Compression resistance, P
Effective lengths, L
3.2
3.2
3.2
4.0
5.0
3.2
5.0
2.9 ^
3.2
4.0
5.0
3.2
4.0
5.0
6.3
3.2
3.6
5.0
6.3
5.0
6.3
8.0
10.0
5.0
6.3
8.0
10.0
5.0
6.3
8.0
10.0
HOT-FINISHED CELSIUS
SUBJECT TO AXIAL COMPRESSION
COMPRESSION RESISTANCE FOR S355
Designation Mass
Outside Wall per for
Diameter Thickness Meter
D t 2 3 4 5 6 7
mm mm kg
219.1 26.4 1160 1120 1050 947 800 648
33.1 1460 1400 1320 1180 996 806
41.6 1840 1760 1660 1480 1240 1000
51.6 2270 2180 2040 1820 1520 1220
63.7 2800 2690 2510 2230 1850 1490
244.5 68.8 3050 2950 2810 2600 2280 1910
273 33 1480 1440 1390 1320 1220 1080
41.4 1850 1800 1740 1650 1520 1350
52.3 2330 2270 2190 2080 1920 1690
64.9 2890 2820 2720 2570 2370 2080
80.3 3580 3480 3360 3180 2910 2550
101 4520 4390 4230 4000 3650 3180
323.9 49.3 2220 2180 2120 2050 1960 1830
62.3 2800 2750 2680 2590 2480 2320
77.4 3480 3410 3320 3210 3070 2860
96 4310 4220 4120 3980 3790 3530
122 5460 5340 5210 5030 4780 4440
406.4 62.2 2760 2720 2680 2620 2560 2480
78.6 3550 3510 3450 3380 3300 3190
97.8 4440 4380 4300 4220 4110 3980
121 5500 5430 5330 5220 5090 4930
154 6960 6860 6740 6600 6430 6220
457 88.6 4000 3970 3920 3850 3780 3690
110 4970 4930 4860 4780 4690 4580
137 6210 6160 6070 5970 5860 5720
174 7880 7810 7700 7570 7420 7240
508 98.6 4410 4390 4340 4280 4210 4140
123 5540 5520 5450 5370 5290 5190
153 6920 6890 6810 6710 6610 6480
194 8770 8730 8620 8500 8360 8210
241 10600 10500 10400 10300 10100 9920
Compression resistance, P
Effective lengths, L
5.0
6.3
8.0
10.0
12.5
12.0
5.0
6.3
8.0
10.0
12.5
16.0
6.3
8.0
10.0
12.5
16.0
* 6.3
8.0
10.0
12.5
16.0
8.0
10.0
12.5
16.0
* 8.0
10.0
12.5
16.0
20.0
COMPRESSION BS 5950-1: 2000
BS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS < td>SUBJECT TO AXIAL COMPRESSION
COMPRESSION RESISTANCE FOR S355
Designation
for Outside
Diameter
4 5 6 7 8 9 10 D
mm
2.1 1.35 0.942 0.694 0.532 0.421 0.341 26.9
9.25 5.97 4.17 3.07 2.36 1.87 1.52 42.4
14 9.05 6.33 4.67 3.59 2.84 2.3 48.3
16.6 10.7 7.49 5.53 4.25 3.36 2.73
19.5 12.6 8.81 6.5 4.99 3.95 3.21
27.9 18.1 12.7 9.36 7.2 5.71 4.63 60.3
39.8 25.8 18.1 13.4 10.3 8.14 6.61
52.1 34 23.9 17.7 13.6 10.8 8.79 76.1
56.9 37.1 26.1 19.3 14.9 11.8 9.59
68.8 44.9 31.5 23.3 18 14.3 11.6
82.9 54.1 38 28.1 21.6 17.2 14
90.3 59.4 41.9 31.1 24 19 15.5 88.9
110 72.4 51 37.8 29.2 23.2 18.8
133 87.6 61.7 45.8 35.3 28 22.8
160 105 74.3 55.1 42.4 33.7 27.4
186 126 89.5 66.7 51.6 41.1 33.5 114.3
206 139 99.4 74.1 57.3 45.6 37.2
278 187 133 99.5 76.9 61.2 49.9
338 228 162 121 93.3 74.3 60.5
470 334 243 182 142 113 92.3 139.7
577 409 296 223 173 138 113
712 502 363 273 212 169 138
859 603 436 327 254 202 165
700 547 412 315 247 198 162 168.3
868 674 507 387 303 243 199
1080 834 626 477 373 299 245
1320 1010 758 577 451 361 296
882 749 595 466 369 298 245 193.7
1100 933 740 578 458 369 303
1380 1160 918 716 567 457 375
1700 1420 1120 869 687 553 454
COMPRESSION BS 5950-1: 2000
BS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS < td>
HOT-FINISHED CELSIUS
Compression resistance, Pc (kN)
Effective lengths, LE (m)
HOT-FINISHED CELSIUS
SUBJECT TO AXIAL COMPRESSION
COMPRESSION RESISTANCE FOR S355
Designation
for Outside
Diameter
8 9 10 11 12 13 14 D
mm
523 426 351 294 250 215 186 219.1
649 528 436 365 310 266 231
808 657 542 454 385 331 287
983 799 659 552 468 402 349
1190 967 797 667 566 486 421
1570 1290 1070 898 764 657 571 244.5
926 780 657 557 476 411 358 273
1150 970 817 692 591 510 444
1440 1210 1020 863 737 636 554
1770 1490 1250 1060 904 780 679
2170 1810 1520 1290 1100 948 825
2690 2240 1880 1590 1360 1170 1020
1670 1470 1280 1100 956 831 728 323.9
2100 1860 1610 1390 1210 1050 919
2590 2280 1980 1710 1480 1280 1120
3190 2800 2420 2090 1800 1570 1370
4000 3500 3020 2600 2250 1950 1700
2380 2250 2090 1900 1710 1530 1360 406.4
3060 2880 2670 2430 2180 1940 1730
3810 3590 3310 3010 2690 2400 2130
4710 4430 4080 3700 3310 2940 2610
5930 5570 5130 4630 4140 3680 3260
3590 3450 3280 3070 2830 2590 2340 457
4440 4270 4050 3790 3490 3180 2880
5540 5320 5050 4720 4340 3950 3560
7020 6740 6380 5950 5470 4970 4480
4050 3940 3810 3650 3450 3230 2980 508
5080 4940 4760 4550 4300 4010 3700
6340 6160 5940 5670 5350 4980 4590
8020 7790 7510 7160 6740 6270 5770
9690 9420 9080 8670 8180 7620 7030
Compression resistance, Pc (kN)
Effective lengths, LE (m)
BS 5950-1: 2000 COMPRESSIONBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONSSUBJECT TO AXIAL COMPRESSION
COMPRESSION RESISTANCE FOR S275
Designation Mass
Wall per for
Thickness Meter
t 1 1.5 2 2.5 3 3.5 4
mm kg
1.87 28.9 14 8.08 5.25 3.68 2.72 2.09
3.09 86.6 55.4 34 22.5 15.9 11.8 9.15
3.56 107 77.8 50.1 33.7 24 17.9 13.8
4.37 130 93.3 59.7 40 28.4 21.2 16.4
5.34 158 111 70.5 47.1 33.4 24.9 19.3
4.51 144 124 91.6 64.6 46.8 35.2 27.4
6.82 217 183 133 92.9 67.1 50.4 39.1
5.24 174 161 140 110 83.9 64.5 50.7
5.75 191 177 153 121 91.6 70.3 55.3
7.11 236 218 187 147 111 85.2 66.9
8.77 291 268 229 178 134 103 80.7
6.76 229 217 199 170 138 109 86.8
8.38 284 269 245 210 168 133 106
10.4 349 331 301 256 205 161 128
12.8 431 407 369 312 248 195 155
8.77 303 293 280 262 237 205 172
9.83 338 327 313 292 263 228 191
13.5 464 449 429 400 359 309 258
16.8 577 558 532 495 442 378 315
16.6 578 564 548 527 499 460 413
20.7 720 702 681 655 618 569 509
26 902 880 853 818 771 707 629
32 1110 1080 1050 1000 943 862 763
20.1 707 693 679 661 640 613 578
25.2 882 866 847 825 798 763 719
31.6 1110 1090 1060 1030 999 955 897
39 1360 1340 1310 1270 1230 1170 1100
23.3 814 805 791 775 757 736 708
29.1 1020 1010 991 971 948 921 886
36.6 1280 1270 1250 1220 1190 1160 1110
45.3 1590 1570 1540 1510 1470 1420 1370
BS 5950-1: 2000 COMPRESSIONBS EN 10210-2: 1997
CIRCULAR HOLLOW SECTIONS
HOT-FINISHED CELSIUS
Compression resistance, P
Effective lengths, LE
3.2 ~
3.2 ~
3.2 ~
4.0 ~
5.0 ~
3.2 ~
5.0 ~
2.9
3.2 ~
4.0 ~
5.0 ~
3.2 ~
4.0 ~
5.0 ~
6.3 ~
3.2 ~
3.6
5.0
6.3
5.0 ~
6.3 ~
8.0 ~
10.0 ~
5.0 ~
6.3 ~
8.0 ~
10.0 ~
5.0 ~
6.3 ~
8.0 ~
10.0 ~
HOT-FINISHED CELSIUS
SUBJECT TO AXIAL COMPRESSION
COMPRESSION RESISTANCE FOR S275
Designation Mass
Wall per for
Thickness Meter
t 2 3 4 5 6 7 8
mm kg
26.4 906 875 834 774 689 587 488
33.1 1130 1100 1040 967 859 730 607
41.6 1430 1380 1310 1220 1080 912 756
51.6 1770 1710 1620 1500 1320 1110 922
63.7 2180 2100 2000 1840 1610 1360 1120
68.8 2370 2300 2210 2090 1910 1680 1440
33 1150 1120 1090 1040 988 910 814
41.4 1440 1400 1360 1310 1240 1140 1020
52.3 1820 1770 1720 1650 1550 1430 1270
64.9 2250 2190 2130 2040 1920 1760 1570
80.3 2790 2720 2630 2520 2370 2170 1920
101 3520 3430 3320 3170 2980 2710 2390
49.3 1730 1690 1660 1610 1560 1480 1390
62.3 2180 2140 2090 2030 1960 1870 1750
77.4 2710 2650 2590 2520 2430 2320 2170
96 3360 3290 3210 3120 3010 2860 2670
122 4250 4160 4060 3950 3800 3610 3360
62.2 2180 2160 2120 2090 2040 1990 1930
78.6 2750 2730 2690 2640 2580 2520 2440
97.8 3440 3410 3350 3290 3220 3140 3040
121 4260 4220 4150 4080 3990 3890 3760
154 5390 5340 5250 5150 5040 4910 4740
88.6 3100 3090 3050 3000 2950 2900 2830
110 3850 3840 3780 3730 3660 3590 3510
137 4810 4790 4730 4650 4570 4480 4380
174 6110 6080 5990 5900 5800 5680 5540
98.6 3460 3460 3420 3370 3330 3270 3210
123 4290 4290 4240 4180 4130 4060 3980
153 5360 5360 5300 5230 5150 5070 4980
194 6790 6790 6710 6620 6520 6420 6300
241 8140 8140 8040 7930 7820 7690 7550
Compression resistance, P
Effective lengths, LE
5.0 ~
6.3 ~
8.0 ~
10.0 ~
12.5 ~
12.0 ~
5.0 ~
6.3
8.0 ~
10.0
12.5
16.0 ~
6.3 ~
8.0 ~
10.0 ~
12.5 ~
16.0
6.3 ~
8.0 ~
10.0 ~
12.5 ~
16.0
8.0 ~
10.0 ~
12.5 ~
16.0
8.0 ~
10.0 ~
12.5
16.0 ~
20.0 ~
COMPRESSION
CIRCULAR HOLLOW SECTIONS < td>SUBJECT TO AXIAL COMPRESSION
COMPRESSION RESISTANCE FOR S275
for
5 6 7 8 9 10
1.35 0.938 0.691 0.53 0.42 0.34
5.92 4.14 3.05 2.35 1.86 1.51
8.96 6.27 4.63 3.56 2.82 2.29
10.6 7.43 5.49 4.22 3.34 2.72
12.5 8.73 6.45 4.96 3.93 3.19
17.8 12.5 9.27 7.14 5.66 4.6
25.5 17.9 13.2 10.2 8.08 6.57
33.4 23.6 17.5 13.5 10.7 8.72
36.4 25.7 19.1 14.7 11.7 9.51
44 31.1 23 17.8 14.1 11.5
53.1 37.4 27.8 21.4 17 13.8
57.9 41.1 30.6 23.6 18.8 15.3
70.6 50.1 37.3 28.8 22.9 18.7
85.5 60.6 45.1 34.8 27.7 22.6
103 72.9 54.3 41.9 33.3 27.1
120 86.9 65.2 50.7 40.4 33
134 96.5 72.5 56.3 44.9 36.7
180 130 97.3 75.6 60.3 49.2
219 158 118 91.7 73.2 59.7
312 232 177 138 111 90.7
382 284 216 169 135 111
470 348 264 207 166 135
566 419 318 248 199 162
485 383 300 238 192 158
600 473 369 293 236 194
744 584 456 361 291 239
907 709 552 436 352 289
633 534 434 351 287 237
791 665 540 436 356 294
989 828 670 540 441 364
1210 1010 814 656 534 441
COMPRESSION
CIRCULAR HOLLOW SECTIONS < td>
Compression resistance, Pc (kN)
Effective lengths, LE (m)
SUBJECT TO AXIAL COMPRESSION
COMPRESSION RESISTANCE FOR S275
for
9 10 11 12 13 14
405 338 285 243 210 182
503 419 354 302 260 226
626 522 440 375 323 281
762 635 535 456 393 342
923 769 647 552 475 413
1210 1020 864 740 639 557
711 613 528 456 396 347
886 763 656 567 492 431
1110 953 819 707 614 537
1360 1170 1010 867 753 659
1670 1430 1220 1060 917 801
2070 1770 1510 1300 1130 988
1270 1150 1020 895 788 696
1610 1450 1280 1130 995 879
1980 1780 1570 1380 1220 1070
2440 2180 1930 1690 1490 1310
3060 2730 2410 2110 1850 1640
1850 1760 1640 1520 1390 1260
2340 2220 2080 1920 1750 1590
2910 2760 2580 2380 2170 1970
3600 3410 3180 2930 2670 2420
4540 4290 4000 3680 3340 3020
2750 2650 2540 2400 2250 2090
3410 3280 3140 2970 2780 2570
4250 4090 3910 3690 3450 3190
5380 5180 4940 4660 4350 4020
3150 3060 2970 2860 2730 2580
3900 3800 3680 3540 3370 3190
4870 4740 4590 4410 4200 3970
6160 5990 5800 5570 5300 5000
7380 7190 6960 6690 6380 6030
Compression resistance, Pc (kN)
Effective lengths, LE (m)
Section Properties - Notes
General
Availability
Notes as to the general availability of particular sections are given as footnotes to the tables.
Symbols
Symbol
*
+
++
Ç
Materials
Specifications
The structural sections referred to are produced to the following specifications:
BS4: Part 1: 1993: Structural steel sections - specification for hot rolled sections
Structural hollow sections:
Section properties for all sections available in the UK are given together with those from other standards used in Europe and the rest of the world. Corus supply all of the sections listed subject to the normal terms and conditions. However, sections outside of the standard British range may not be generally available in the UK. The user should therefore satisfy himself as to the available supply before specifying these sections. Corus will be happy to help and can be contacted at the contact addresses in the contact section.
In certain circumstances, Corus may be able to provide sections outside of the standard ranges. Please consult the relevant sales office for further details.
Symbols used are generally the same as those in BS 5950: Part 1:1990, BS4 or appropriate EN standards. In addition the following symbols have been used:
The structural sections referred to are of weldable structural steels to BSEN10025: 1993, BSEN10113: 1993 and
The steel grades covered in the tables are S275 and S355, which are equivalent to design grades 43 and 50 of BS 5950: Part 1. Details of the corresponding grades are given in the Standards section.
Universal beams, universal columns, joists, universal bearing piles and structural tees (cut from universal beams
Equal and unequal angles:
Tolerances
Units
Note:
1dm = 0.lm = lOOmm
Dimensions and properties of sections
Mass
Ratios for local buckling
Section properties
General
Sections other than hollow sections
Second moment of area (I)
EN 10210: Part 2: 1997: Hot finished structural hollow sections of non-alloy and fine gram structural steels. Tolerances, dimensions and section properties
Some other hot finished structural hollow sections currently in regular production are also included. Although not listed in EN 10210-2, these additional sections comply with the tolerances of that standard.
ES 4848: Part 4: 1972: Hot rolled structural steel sections. Equal and unequal angles Including Amendments 1 (February 1974), 2 (October 1982) and 3 (February 1986)
For tolerances on shape, reference should be made to BS EN 10034 for UB, UC and bearing piles. For tolerances of other sections, reference should be made to the above standards. Extracts giving the main tolerance details are given in the design section.
The dimensions of sections are given in millimetres (mm). Mass is given in kg/m. Generally, the centimetre (cm) is used for the calculated properties. For surface areas, the metre (m) is used and for the warping constant (H), the decimetre (dm) is used.
1 dm6 = 1 x 10-6 m6 = 1 x 1012 mm6
Mass per metre has been calculated assuming the density of steel is 7850 kg/m3.
In all cases, including compound sections the tabulated masses are for the steel section alone and no allowance has been made for connecting material or fittings.
The ratios of the flange outstand to thickness (b/T) and the web depth to thickness (d/t) are given for I, H and channels sections. The ratios of the outside diameter to thickness (D/t) are given for circular hollow sections. The ratios d/t and b/t are given for square and rectangular hollow sections. They have been calculated using the dimensions specified in Figure 3 of BS 5950: Part 1 and are for use when element and section class are being checked to the limits given in Table 7 of BS 5950: Part1.
All section properties have been accurately calculated and rounded to four significant figures. They have been calculated from the metric dimensions given in the appropriate standard. For angles, BS4848: Part 4: 1972 assumes that the toe radius equals half the root radius.
Radius of gyration (r)
The radius of gyration is a parameter used in buckling calculation and is derived as follows:
where A is the cross-sectional area
Elastic modulus (Z)
Z =I/y
where y is the distance to the extreme fibre of the section from the elastic neutral axis.
For channels the elastic modulus about the minor (y-y) axis is given at the toe of the section
where:
B is the width of the section
For angles the elastic moduli about both axes are given at the toes of the section
where:
A is the leg length perpendicular to x-x axis
B is the leg length perpendicular to y-y axis
Buckling parameter (u) and torsional index (x)
The buckling parameter and torsional index used in buckling calculations are derived as follows:
The second moment of area of the section, often referred to as moment of inertia, has been calculated taking into account all tapers, radii and fillets of the sections.
r = (I / A)1/2
For castellated and cellular sections, the radius of gyration given is calculated at the net section as required in
The elastic modulus is used to calculate the moment capacity based on the design strength of the section or the stress at the extreme fibre of the section from a known moment. It is derived as follows:
For castellated and cellular sections the elastic moduli given are those at the net section. The elastic moduli of the tee is calculated at the outer face of the flange and toe of the tee formed at the net section.
y = B - Cy
Cy is the distance from the centroid to the outer face of the web
i.e yx = A - Cx and yy = B - Cy
Cx is the distance of the centre of gravity from the back of the angle, referred to the x-x axis and
Cy is the distance of the centre of gravity from the back of the angle, referred to the y-y axis.
a) For bisymmetric flanged sections and flanged sections symmetrical about the minor axis only
b) For flanged sections symmetric about the major axis only
where
A is the cross-sectional area
H is the warping constant
J is the torsion constant
Warping constant (H) and torsion constant (J)
Where:
Note:
These formulae do not apply to joists, which have tapered flanges. Details are given in SCI Publication 057.
u = [(4Sx2g)/(A2h2)]1/4
x = 0.566h[A/J]1/2
u = [(IySx2g)/(A2H)]1/4
x = 1.132[(AH)/(IyJ)]1/2
Sx is the plastic modulus about the major axis
g = [1-Iy/Ix]
Ix is the second moment of area about the major axis
Iy is the second moment of area about the minor axis
h is the distance between shear centres of flanges (for T sections, h is the distance between the shear centre of
The warping constant and torsion constant for I, H and channel sections are calculated using the formulae given in SCI publication (P057) Design of Members Subject to Combined Bending and Torsion. For Tee sections cut from
UB and UC sections, the warping constant (H) and torsion constant (J) have been derived as given below. However, the values of the warping constant (H) for Tee sections are not tabulated as these are normally very small.
H = 1/144 T3B3 + 1/36 (d - T/2)3 t3
J = 1/3 BT3 + 1/3 (d - T)t3 + a1D1 - 0.21 T4 - 0.105 t4
a1 = -0.042 + 0.2204 t/T + 0.1355 r/T - 0.0865 (t r)/T2 - 0.0725 t2/T2
D1 = [(T + r)2 + (r + 0.25 t) t] / [2r + t]
Plastic modulus (S)
The full plastic moduli about both principal axes are tabulated for all sections except angle sections.
Hollow sections
Common properties
For second moment of area, radius of gyration and elastic modulus, see notes above.
350 x 350 x 190, 22.0, 25.0
400 x 400 x 22.0, 25.0
450 x 450, 500 x 500, 550 x 550, and 600 x 600 (all thicknesses)
Torsion constant (J)
For circular hollow sections
J = 2I
For square and rectangular hollow sections
where:
I is the second moment of area
t is the thickness of section
B is the breadth of section
D is the depth of section
Torsion modulus constant
For circular hollow sections
For square and rectangular hollow sections, the sectional properties have been calculated using the corner radii of 1.5 t externally and 1.0 t internally, except for the following square hollow sections, where an external corner radius of 2.0 t and an internal radius of 1.0 t are used:
J = 1/3 t3h + 2k Ah
h is the mean perimeter = 2 [(B - t) + (D - t)] - 2 Rc (4 - p)
Ah is the area enclosed by mean perimeter = (B - t) (D - t) -Rc2 (4 - p)
k =2 Ah t / h
Rc is the average of internal and external corner radii.
C = 2Z
For square and rectangular hollow sections
C = J / ( t + k / t )
where Z is the elastic modulus and J, t and k are as previously defined.
Notes in section properties tables
Section Properties of UBs, UCs and UPBs:
+ Section is not given in BS 4-1# Check availability
Section Properties of Joists:
‡ Not available from some leading producers. Check availability.# Check availability.
Section Properties of Hollow Sections - hot formed
CHS
~ Check availability in S275.^ Check availability in S355.
SHS
~ Check availability in S275.^ Check availability in S355.(1) For local buckling calculation d = D - 3t.
General Notes on Section Properties
n = F/(A py), where F is the Factored axial load, A is the gross cross sectional area and py is the design strength of the section.
For lower values of n, the reduced plastic modulus, Sr = K1 - K2.n2, for both major and minor axis bending.
For higher values of n, the reduced plastic modulus, Sr = K3(1-n)(K4+n), for both major and minor axis bending.
General Notes on Section Properties
n = F/(A py), where F is the Factored axial load, A is the gross cross sectional area and py is the design strength of the section.For values of n lower than n1, the reduced plastic modulus, Srx = Srx1 = K1-K2.n2, for major axis bending.
For values of n higher than n2, the reduced plastic modulus, Srx = Srx2 = K3(1-n)(K4+n), for major axis bending.
For values of n between n1 and n2, the reduced plastic modulus, Srx = Srx1 + (Srx2 -Srx1)(n-n1)/(n2-n1), for major axis bending.For lower values of n, the reduced plastic modulus, Sry= K1 - K2.n2, for minor axis bending.
For higher values of n, the reduced plastic modulus, Sry = K3(1-n)(K4+n), for minor axis bending.
General Notes on Section Properties
RHS
~ Check availability in S275.(1) For local buckling calculation d = D - 3t and b = B -3t.
Section Properties of Hollow Sections - cold formed
CHS
‡ Grade S275 not available from some leading producers. Check availability.
SHS
‡ Grade S275 not available from some leading producers. Check availability.(1) For local buckling calculation d = D - 5t.
RHS
‡ Grade S275 not available from some leading producers. Check availability.(1) For local buckling calculation d = D - 5t and b = B -5t.
Section Properties of ASB
+ Sections are fire engineered with thick webs.
Section Properties of PFC
# Check availability.
Minor axis plastic modulus
General Notes on Section Properties
General Notes on Section Properties
General Notes on Section Properties
eo is the distance from the centre of the web to the shear centre.
Cs is the distance from the centroidal axis to the shear centre.
Cy is the distance from the back of the web to the centroidal axis.
Ceq is the distance from the back of the web to the equal area axis.
n = F/(Ag.py), where F is the Factored axial load, Ag is the gross cross sectional area and py is the design strength of the section.For lower values of n, the reduced plastic modulus, Sr = K1 - K2.n2
For higher values of n, the reduced plastic modulus, Sr = K3(1-n)(K4+n)
Cy is the distance from the back of the web to the centroidal axis.
n = F/(Ag.py), where F is the Factored axial load, Ag is the gross cross sectional area and py is the design strength of the section.For axial load and moment inducing stresses of the same kind towards back of web, the reduced plastic modulus, Sr = K1 + K2.n.(K3-n)
Section Properties of PFC-laced
# Check availability.
Section Properties of PFC-BB
# Check availability.Properties about y axis:
where s is the space between webs.
Section Properties of Equal Angles
‡ Not available from some leading producers. Check availability.# Check availability.c is the distance from the back of the leg to the centre of gravity.
Section Properties of Unequal Angles
‡ Not available from some leading producers. Check availability.# Check availability.cx is the distance from the back of the short leg to the centre of gravity.cy is the distance from the back of the long leg to the centre of gravity.
Section Properties of Equal Angles BacktoBack and Unequal Angles BB
‡ Not available from some leading producers. Check availability.# Check availability.Properties about y-y axis:
Section Properties of BULB section:
For axial load and moment inducing stresses of the opposite kind towards back of web, the reduced plastic modulus, Sr = K1 - K2.n.(K3+n)General Notes on Section Properties
General Notes on Section Properties
Iy = (Total Area).(ry)2
Zy = Iy/(B+0.5s)
General Notes on Section Properties
General Notes on Section Properties
General Notes on Section Properties
Iy = (Total Area).(ry)2
Zy = Iy/(0.5Bo)
General Notes on Section Properties
No specific notes
Section Properties of SFB section:
¤ not applicable, since Iy > Ix
Section Properties of Castellated UBs and UCs
Section Properties of TEEs from UBs and UCs
Properties have been calculated according to dimensions given in BS 4-1.
Section Properties of ASTM section:
No specific notes
Section Properties of IPE section:
No specific notes
Section Properties of HE section:
No specific notes
Section Properties of Jumbo-SHS section:
++ SAW Process
General Notes on Section Properties
General Notes on Section Properties
The values of the elastic modulus of the Tee are the elastic modulus at the flange and at the toe of the Tee formed
General Notes on Section Properties
(*) Note units are cm6 and not dm6.
- Indicates that no values of u and x are given as lateral torsional buckling due to bending about the x-x axis is not possible, because the second moment of area about the y-y axis exceeds the second moment of area about the x-x axis.
General Notes on Section Properties
General Notes on Section Properties
General Notes on Section Properties
General Notes on Section Properties
SN400B - nearest equivalent EN 10210 S235JOH (min. yield strength 235N/mm2 for T ≤ 40mm, 215N/mm2 for T > 40mm)SN490B - nearest equivalent EN 10210 S355JOH (min. yield strength 325N/mm2 for T ≤ 40mm, 295N/mm2 for T > 40mm)
Section Properties of Hollow Sections - Strongbox 235
CHS
Mass is based on nominal thickness. All other properties based on minimum thickness.
SHS
Mass is based on nominal thickness. All other properties based on minimum thickness.(1) For local buckling calculation d = D - 5t.
RHS
Mass is based on nominal thickness. All other properties based on minimum thickness.(1) For local buckling calculation d = D - 5t and b = B - 5t.
Notes in Effective Area of Slender sections tables
Effective Area of UBs:
+ Section is not given in BS 4-1: 1993.~ Check availability in S275.‡ Grade S275 not available from some leading producers. Check availability.Only the sections (S275 or S355) which can be slender under axial compression are given in the table.
W indicates that the section is slender due to the web.
Effective Area of UBPs:
Only the sections (S275 or S355) which can be slender under axial compression are given in the table.
W indicates that the section is slender due to the web.F indicates that the section classification is controlled by the flange.
Effective Area of Hollow Sections - hot formed
CHS
General Notes on Section Properties
General Notes on Section Properties
(1) Classification assumes that r2 = Fc/Apy = 1.0, see BS 5950-1:2000, Cl. 3.5.5.
Values of Aeff in bold type are less than the gross area.
General Notes on Section Properties
(1) Classification assumes that r2 = Fc/Apy = 1.0, see BS 5950-1:2000, Cl. 3.5.5.
Values of Aeff in bold type are less than the gross area.
General Notes on Section Properties
~ Not generally available in S275.‡ Grade S275 not available from some leading producers. Check availability.Only the sections (S275 or S355) which can be slender under axial compression are given in the table.
SHS
~ Not generally available in S275.‡ Grade S275 not available from some leading producers. Check availability.Only the sections (S275 or S355) which can be slender under axial compression are given in the table.
RHS
~ Check availability in S275.‡ Grade S275 not available from some leading producers. Check availability.Only the sections (S275 or S355) which can be slender under axial compression are given in the table.
W indicates that the section is slender due to the web.
Effective Area of Hollow Sections - cold formed
CHS
~ Not generally available in S275.‡ Grade S275 not available from some leading producers. Check availability.Only the sections (S275 or S355) which can be slender under axial compression are given in the table.
SHS
~ Not generally available in S275.‡ Grade S275 not available from some leading producers. Check availability.Only the sections (S275 or S355) which can be slender under axial compression are given in the table.
RHS
~ Check availability in S275.‡ Grade S275 not available from some leading producers. Check availability.Only the sections (S275 or S355) which can be slender under axial compression are given in the table.
W indicates that the section is slender due to the web.F indicates that the section is slender due to the flange.
Values of Aeff in bold type are less than the gross area.
(1) Classification assumes that r2 = Fc/Apy = 1.0, see BS 5950-1:2000, Cl. 3.5.5.
Values of Aeff in bold type are less than the gross area.
(1) Classification assumes that r2 = Fc/Apy = 1.0, see BS 5950-1:2000, Cl. 3.5.5.
Values of Aeff in bold type are less than the gross area.
General Notes on Section Properties
Values of Aeff in bold type are less than the gross area.
(1) Classification assumes that r2 = Fc/Apy = 1.0, see BS 5950-1:2000, Cl. 3.5.5.
Values of Aeff in bold type are less than the gross area.
(1) Classification assumes that r2 = Fc/Apy = 1.0, see BS 5950-1:2000, Cl. 3.5.5.
Effective Area of Equal Angles
# Check availability.‡ Grade S275 not available from some leading producers. Check availability.Only the sections (S275 or S355) which can be slender under axial compression are given in the table.
Effective Area of Unequal Angles
# Check availability.‡ Grade S275 not available from some leading producers. Check availability.Only the sections (S275 or S355) which can be slender under axial compression are given in the table.
Notes in Effective Section Properties of semi-compact section tables
Effective section Properties of UBs:
F indicates that the section classification is controlled by the flange.
Effective section Properties of UCs:
# Check availability.
F indicates that the section classification is controlled by the flange.
Effective section Properties of UBPs:
F indicates that the section classification is controlled by the flange.W indicates that the section classification is controlled by the web.
Values of Aeff in bold type are less than the gross area.
General Notes on Section Properties
Values of pyr in bold type are less than the nominal design strength.
General Notes on Section Properties
Values of pyr in bold type are less than the nominal design strength.
General Notes on Section Properties
Only the sections (S275 or S355) which can be semi-compact or slender when subject to pure bending are given
βw is 1.0 for plastic and compact sections, Sx eff / Sx for semi-compact sections and Zx eff / Sx for slender sections.
- Indicates that the effective section property is not applicable due to the section classification and the gross
General Notes on Section Properties
Only the sections (S275 or S355) which can be semi-compact or slender when subject to pure bending are given
βw is 1.0 for plastic and compact sections, Sx eff / Sx for semi-compact sections and Zx eff / Sx for slender sections.
- Indicates that the effective section property is not applicable due to the section classification and the gross
General Notes on Section Properties
Only the sections (S275 or S355) which can be semi-compact or slender when subject to pure bending are given
Effective section Properties of Hollow Sections - hot formed
CHS
F indicates that the section classification is controlled by the flange.
SHS
~ Check availability in S275.
F indicates that the section classification is controlled by the flange.
RHS
~ Check availability in S275.
F indicates that the section classification is controlled by the flange.
Effective section Properties of Hollow Sections - cold formed
CHS
‡ Grade S275 not available from some leading producers. Check availability.
SHS
‡ Grade S275 not available from some leading producers. Check availability.
F indicates that the section classification is controlled by the flange.
βw is 1.0 for plastic and compact sections, Sx eff / Sx for semi-compact sections and Zx eff / Sx for slender sections.
- Indicates that the effective section property is not applicable due to the section classification and the gross
General Notes on Section Properties
Only the sections (S275 or S355) which can be semi-compact or slender when subject to pure bending are given
βw is 1.0 for plastic and compact sections, Sx eff / Sx for semi-compact sections and Zx eff / Sx for slender sections.
- Indicates that the effective section property is not applicable due to the section classification and the gross
Only the sections (S275 or S355) which can be semi-compact or slender when subject to pure bending are given
βw is 1.0 for plastic and compact sections, Sx eff / Sx for semi-compact sections and Zx eff / Sx for slender sections.
- Indicates that the effective section property is not applicable due to the section classification and the gross
Only the sections (S275 or S355) which can be semi-compact or slender when subject to pure bending are given
βw is 1.0 for plastic and compact sections, Sx eff / Sx for semi-compact sections and Zx eff / Sx for slender sections.
(1) This ratio is 1.0 for plastic and compact sections, Sy eff / Sy for semi-compact sections and Sy eff / Sy for slender sections.- Indicates that the effective section property is not applicable due to the section classification and the gross
General Notes on Section Properties
Only the sections (S275 or S355) which can be semi-compact or slender when subject to pure bending are given βw is 1.0 for plastic and compact sections, Sx eff / Sx for semi-compact sections and Zx eff / Sx for slender sections.
- Indicates that the effective section property is not applicable due to the section classification and the gross
Only the sections (S275 or S355) which can be semi-compact or slender when subject to pure bending are given
βw is 1.0 for plastic and compact sections, Sx eff / Sx for semi-compact sections and Zx eff / Sx for slender sections.
- Indicates that the effective section property is not applicable due to the section classification and the gross
RHS
‡ Grade S275 not available from some leading producers. Check availability.
F indicates that the section classification is controlled by the flange.
Notes in Effective plastic section modulus tables
Effective plastic section modulus of UBs:
+ Section is not given in BS 4-1: 1993.# Check availability.
P indicates that the section is class 1 plastic.C indicates that the section is class 2 compact.
W indicates that the effective plastic modulus calculation is controlled by the web.F indicates that the effective plastic modulus calculation is controlled by the flange.
Effective plastic section modulus of UCs:
# Check availability.
P indicates that the section is class 1 plastic.C indicates that the section is class 2 compact.
W indicates that the effective plastic modulus calculation is controlled by the web.F indicates that the effective plastic modulus calculation is controlled by the flange.
Effective plastic section modulus of UBPs:
P indicates that the section is class 1 plastic.C indicates that the section is class 2 compact.
Only the sections (S275 or S355) which can be semi-compact or slender when subject to pure bending are given
βw is 1.0 for plastic and compact sections, Sx eff / Sx for semi-compact sections and Zx eff / Sx for slender sections.
(1) This ratio is 1.0 for plastic and compact sections, Sy eff / Sy for semi-compact sections and Zy eff / Sy for slender sections.- Indicates that the effective section property is not applicable due to the section classification and the gross
General Notes on Section Properties
Only the sections (S275 or S355) which can be semi-compact under axial compression and bending are given in
Sc indicates that the section is class 3 semi-compact.
S indicates that the section is class 4 slender, Sx eff is not applicable for this case and therefore no value has been given.
Values in bold type are less than the gross plastic modulus.
General Notes on Section Properties
Only the sections (S275 or S355) which can be semi-compact under axial compression and bending are given in
Sc indicates that the section is class 3 semi-compact.
S indicates that the section is class 4 slender, Sx eff is not applicable for this case and therefore no value has been given.
Values in bold type are less than the gross plastic modulus.
General Notes on Section Properties
Only the sections (S275 or S355) which can be semi-compact under axial compression and bending are given in
Sc indicates that the section is class 3 semi-compact.
W indicates that the effective plastic modulus calculation is controlled by the web.F indicates that the effective plastic modulus calculation is controlled by the flange.
Effective plastic section modulus of Hollow Sections - hot formed
SHS
~ Check availability in S275.
P indicates that the section is class 1 plastic.C indicates that the section is class 2 compact.
W indicates that the effective plastic modulus calculation is controlled by the web.F indicates that the effective plastic modulus calculation is controlled by the flange.
RHS x-axis
~ Check availability in S275.
P indicates that the section is class 1 plastic.C indicates that the section is class 2 compact.
W indicates that the effective plastic modulus calculation is controlled by the web.F indicates that the effective plastic modulus calculation is controlled by the flange.
RHS y-axis
~ Not generally available in S275.
P indicates that the section is class 1 plastic.C indicates that the section is class 2 compact.
W indicates that the effective plastic modulus calculation is controlled by the web.F indicates that the effective plastic modulus calculation is controlled by the flange.
Effective plastic section modulus of Hollow Sections - cold formed
SHS
S indicates that the section is class 4 slender, Sx eff is not applicable for this case and therefore no value has been given.
Values in bold type are less than the gross plastic modulus.
General Notes on Section Properties
Only the sections (S275 or S355) which can be semi-compact under axial compression and bending are given in
Sc indicates that the section is class 3 semi-compact.
S indicates that the section is class 4 slender, Sx eff is not applicable for this case and therefore no value has been given.
Values in bold type are less than the gross plastic modulus.
Only the sections (S275 or S355) which can be semi-compact under axial compression and bending are given in
Sc indicates that the section is class 3 semi-compact.
S indicates that the section is class 4 slender, Sx eff is not applicable for this case and therefore no value has been given.
Values in bold type are less than the gross plastic modulus.
Only the sections (S275 or S355) which can be semi-compact under axial compression and bending are given in
Sc indicates that the section is class 3 semi-compact.
S indicates that the section is class 4 slender, Sy eff is not applicable for this case and therefore no value has been given.
Values in bold type are less than the gross plastic modulus.General Notes on Section Properties
~ Not generally available in S275.
P indicates that the section is class 1 plastic.C indicates that the section is class 2 compact.
W indicates that the effective plastic modulus calculation is controlled by the web.F indicates that the effective plastic modulus calculation is controlled by the flange.
RHS x-axis
~ Not generally available in S275.
P indicates that the section is class 1 plastic.C indicates that the section is class 2 compact.
W indicates that the effective plastic modulus calculation is controlled by the web.F indicates that the effective plastic modulus calculation is controlled by the flange.
RHS y-axis
~ Not generally available in S275.
P indicates that the section is class 1 plastic.C indicates that the section is class 2 compact.
W indicates that the effective plastic modulus calculation is controlled by the web.F indicates that the effective plastic modulus calculation is controlled by the flange.
Only the sections (S275 or S355) which can be semi-compact under axial compression and bending are given in
Sc indicates that the section is class 3 semi-compact.
S indicates that the section is class 4 slender, Sx eff is not applicable for this case and therefore no value has been given.
Values in bold type are less than the gross plastic modulus.
Only the sections (S275 or S355) which can be semi-compact under axial compression and bending are given in
Sc indicates that the section is class 3 semi-compact.
S indicates that the section is class 4 slender, Sx eff is not applicable for this case and therefore no value has been given.
Values in bold type are less than the gross plastic modulus.
Only the sections (S275 or S355) which can be semi-compact under axial compression and bending are given in
Sc indicates that the section is class 3 semi-compact.
S indicates that the section is class 4 slender, Sy eff is not applicable for this case and therefore no value has been given.
Values in bold type are less than the gross plastic modulus.
General Notes on Section Properties
Meaning
Eg
Seamless hollow sections
Section is outside of the standard range.
The UB range has some extra sections which are not in BS4
Hollow sections have some sections which are not in accordance with EN10210 - 2
Hollow sections which are available in Grade S355 J2H only
Hollow sections produced by the SAW process
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