Properties of Structural-Steel Shapes

E Proties of Strutural-Steel Shapes In the following tables, the proties of a few strutural-steel shapes are presented as an aid to the reader in solving problems in the text. These tables were ompiled from the extensive tables in the Manual of Steel Constrution, published by the Amerian Institute of Steel Constrution, In. (Ref. 5-). Notation: I moment of inertia S setion modulus r I/ A radius of gyration 97 009 Cengage Learning. All Rights Reserved. May not be sanned, opied or dupliated, or posted to a publily aessible website, in whole or in part.

APPENDIX E Proties of Strutural-Steel Shapes 97 TABLE E-(a) PROPERTIES OF WIDE-FLANGE SECTIONS (W SHAPES) USCS UNITS Weight Flange Axis - Axis - Web Designation foot Area Depth thikness Width Thikness I S r I S r lb in. in. in. in. in. in. in. in. in. in. in. W 0 6. 0.9 0.775 5.. 000 665.9 757 00.9 W 0 8.9 0. 0.65 0.5.00 5770 80. 96 7..5 W 6 6 7.7 5.0 0.705.0. 570 0. 68..05 W 9 9.0 7.7. 0.55 9.07 0.875 700 9.87 09.0.98 W 8 9 9 5. 9.0 0.655..06 90 7.90 5.9.69 W 8 7 7.0 0.8 8.5 0.95 7.6 0.80 70 7 7.50 60. 5.8.70 W 6 00 00 9.5 7.0 0.585 0. 0.985 90 75 7.0 86 5.7.5 W 6 77 77.0.6 6.5 0.55 0. 0.760 0 7.00 8 6.9.7 W 6 57 57.0 6.8 6. 0.0 7. 0.75 758 9. 6.7...60 W 6.0 9. 5.9 0.75 5.5 0.0 75 7. 6...9.7 W 0 0 5..5 0.590.7 0.90 80 90 6. 95 67.5.7 W 8 8.0.0. 0.50 0. 0.855 88 6.05 8 9..8 W 5 5.0 5.6.9 0.70 8.06 0.660 5 77.8 5.89 57.7..9 W 6 6.0 7.69.9 0.55 5.0 0.0 5 5. 5.65 8.9.55.08 W 87 87.0 5.6.5 0.55. 0.80 70 8 5.8 9.7.07 W 50 50.0.6. 0.70 8.08 0.60 9 6. 5.8 56..9.96 W 5 5.0 0..5 0.00 6.56 0.50 85 5.6 5.5.5 7.7.5 W.0.6.9 0.00.97 0.5 88.6.9.6.6.9 0.75 W 0 60 60.0 7.6 0. 0.0 0. 0.680 66.7.9 6.0.57 W 0 5 5.0. 0. 0.50 8.0 0.60 8 9.. 5...0 W 0 0 0.0 8.8 0.5 0.00 5.8 0.50 70..8 6.7 5.75.7 W 0.0.5 9.87 0.90.96 0.0 5.8 0.9.90.8.0 0.785 W 8 5 5.0 0. 8. 0.0 8.0 0.95 7..5.6 0.6.0 W 8 8 8.0 8. 8.06 0.85 6.5 0.65 98.0..5.7 6.6.6 W 8.0 6.6 8.8 0.50 5.7 0.00 75. 8..9 9.77.7.6 W 8 5 5.0. 8. 0.5.0 0.5 8.0.8.9..70 0.876 Note: Axes - and - are prinipal entroidal axes. 009 Cengage Learning. All Rights Reserved. May not be sanned, opied or dupliated, or posted to a publily aessible website, in whole or in part.

97 APPENDIX E Proties of Strutural-Steel Shapes TABLE E-(b) PROPERTIES OF WIDE-FLANGE SECTIONS (W SHAPES) SI UNITS Mass Flange Axis - Axis - Web Designation meter Area Depth thikness Width Thikness I S r I S r kg mm mm mm mm mm 0 6 mm 0 mm mm 0 6 mm 0 mm mm W 760 000 785 9.7 8.5 90 0900 8 5 60 88.6 W 760 96 96 500 770 5.6 67 5. 00 60 0 8.6 60 57. W 60 0800 65 7.9 0.0 50 6780 6 8 0 77.5 W 60 0 0 7900 67. 0. 0 60 5 5. 9 50. W 60 77 77 600 8 6.6 87 6.9 9 790 0 05 76 68. W 60 06 06 00 70.6 9 0.6 87 080 9 5. 59. W 0 9 9 9000.9 6 5.0 60 870 80 77. 585 6.8 W 0 600 9.6 6 9. 6 00 78 57. 6.7 W 0 85 85.0 0800 7 0.9 8 8. 6 50 7 7.9 98 0.6 W 0 6. 6. 5890 0 6.99 0. 56 77 6 5.6 7.6 9.7 W 60 79 79 800 68 5.0 7.9 57 0 58 06 0 95.0 W 60 5500 6.0 57.7 67 00 5 6.6 80 6.0 W 60 79 79.0 000 5 9.0 05 6.8 5 70 50.0 8.8 W 60 9 9.0 960 5 6.8 8 0.7 0 578.7 58. 7. W 0 9 9 6500 8. 07 0.6 08 90 7 00 65 78.0 W 0 7 7.0 90 0 9.0 05 6. 6 050. 8 9.8 W 0 5 5.0 6650 8 7.6 67. 9 77 0. 9. W 0.0 680 0 5.08 0 5.7 6.9 7 0.98 9.5 9. W 50 89 89.0 00 59 0.7 57 7. 090 8. 77 65. W 50 67 67.0 8580 57 8.89 0 5.7 0 805 0. 8 5. W 50.8.8 5700 67 7.6 8.0 70.8 5 6.95 9..8 W 50 7.9 7.9 80 5.8 0 5.. 79 99. 0.907 8.0 9.9 W 00 5 5.0 6650 06 7.87 0.6 5.9 5 89. 7.7 7 5.6 W 00.7.7 50 05 7. 66.8 0.8 98 87.6 9.0 09. W 00.. 970 0 6.5 0.. 98 88.6.07 60.8.0 W 00.5.5 860 06 6. 0 8.00 0.0 9 8.6. 7.9. Note: Axes - and - are prinipal entroidal axes. 009 Cengage Learning. All Rights Reserved. May not be sanned, opied or dupliated, or posted to a publily aessible website, in whole or in part.

APPENDIX E Proties of Strutural-Steel Shapes 975 TABLE E-(a) PROPERTIES OF I-BEAM SECTIONS (S SHAPES) USCS UNITS Flange Axis - Axis - Weight Web Average Designation foot Area Depth thikness Width thikness I S r I S r lb in. in. in. in. in. in. in. in. in. in. in. S 00 00 9..0 0.75 7.5 0.870 80 99 9.0 7...7 S 80 80.0.5.0 0.500 7.00 0.870 00 75 9.7.0.0. S 0 96 96.0 8. 0. 0.800 7.0 0.90 670 65 7.7 9.9.9. S 0 75 75.0.0 0.0 0.65 6.9 0.795 80 8 7.6 9.5 9.5.6 S 8 70 70.0 0.5 8.0 0.7 6.5 0.69 9 0 6.70.0 7.69.08 S 8 5.7 5.7 6.0 8.0 0.6 6.00 0.69 80 89.0 7.07 0.7 6.9. S 5 50 50.0.7 5.0 0.550 5.6 0.6 85 6.7 5.75 5.6 5.5.0 S 5.9.9.6 5.0 0. 5.50 0.6 6 59. 5.95. 5.9.06 S 50 50.0.6.0 0.687 5.8 0.659 0 50.6.55 5.6 5.69.0 S 5 5.0 0..0 0.8 5.08 0.5 8 8..7 9.8.88 0.980 S 0 5 5.0 0. 0.0 0.59.9 0.9 7 9..78 8.0.6 0.899 S 0 5. 5. 7.5 0.0 0..66 0.9.6.07 6.7.89 0.950 S 8.0 6.76 8.00 0..7 0.5 6.7 6..09.7.05 0.795 S 8 8. 8. 5.0 8.00 0.7.00 0.5 57.5..6.69.8 0.87 S 6 7. 7. 5.06 6.00 0.65.57 0.59 6. 8.7.8.9.8 0.67 S 6.5.5.66 6.00 0.. 0.59.0 7..5.80.08 0.70 S 9.5 9.50.79.00 0.6.80 0.9 6.76.8.56 0.887 0.65 0.56 S 7.7 7.70.6.00 0.9.66 0.9 6.05.0.6 0.78 0.56 0.576 Note: Axes - and - are prinipal entroidal axes. 009 Cengage Learning. All Rights Reserved. May not be sanned, opied or dupliated, or posted to a publily aessible website, in whole or in part.

976 APPENDIX E Proties of Strutural-Steel Shapes TABLE E-(b) PROPERTIES OF I-BEAM SECTIONS (S SHAPES) SI UNITS Flange Axis - Axis - Mass Web Average Designation meter Area Depth thikness Width thikness I S r I S r kg mm mm mm mm mm 0 6 mm 0 mm mm 0 6 mm 0 mm mm S 60 9 9 8900 60 8.9 8. 99 60 9 9.7 5. S 60 9 9 500 60.7 78. 87 870 7.5 97.0 S 50 800 56 0. 8. 695 700 96 0.8 8.8 S 50 00 508 6. 6 0. 5 00 9. 5 9.5 S 60 0 0 00 57 8. 59 7.6 8 690 70 0.0 6 7. S 60 8. 8. 000 57.7 5 7.6 60 80 8.6 9.0 S 80 7 7.0 980 8.0 5.8 0 060 6 6.9 90.6 6. S 80 6 6.0 80 8 0. 0 5.8 86 97 5 5.95 85.0 6.9 S 0 7 7.0 90 05 7. 9 6.7 6 89 6 6.9 9. 6. S 0 5 5.0 6580 05 0.9 9.8 9.9 6 0.0 6.6.9 S 50 5 5.0 6650 5 5. 5.5 6. 8 96.0.5 55..8 S 50 7.8 7.8 80 5 7.90 8.5 5. 0 0.80 7.. S 00.0 60 0. 06 0.8 6.9 65 78.5.78.6 0. S 00 7. 7. 80 0 6.88 0 0.8.9 6 8.8.5 0..0 S 50 5.7 5.7 60 5.8 90.7 9. 0.9 57.9 0.95.0 7. S 50 8.6 8.6 60 5 5.89 8.6 9. 9.6 0 6. 0.79 7.7 7.8 S 00.. 800 0 8.8 7. 7..8 55. 9.6 0.69 0.. S 00.5.5 60 0.90 67.6 7..5 9.7.7 0. 9..6 Note: Axes - and - are prinipal entroidal axes. 009 Cengage Learning. All Rights Reserved. May not be sanned, opied or dupliated, or posted to a publily aessible website, in whole or in part.

APPENDIX E Proties of Strutural-Steel Shapes 977 TABLE E-(a) PROPERTIES OF CHANNEL SECTIONS (C SHAPES) USCS UNITS Flange Axis - Axis - Weight Web Average Designation foot Area Depth thikness Width thikness I S r I S r lb in. in. in. in. in. in. in. in. in. in. in. in. C 5 50 50.0.7 5.0 0.76.7 0.650 0 5.8 5..0.77 0.865 0.799 C 5 0 0.0.8 5.0 0.50.5 0.650 8 6.5 5.5 9.7. 0.88 0.778 C 5.9.9 0.0 5.0 0.00.0 0.650 5.0 5.6 8.07.09 0.90 0.788 C 0 0.0 8.8.0 0.50.7 0.50 6 7.0.9 5..05 0.76 0.67 C 5 5.0 7..0 0.87.05 0.50.0..5.87 0.779 0.67 C 0.7 0.7 6.08.0 0.8.9 0.50 9.5.6.86.7 0.797 0.698 C 0 0 0.0 8.8 0.0 0.67.0 0.6 0 0.7..9.65 0.668 0.69 C 0 5 5.0 7. 0.0 0.56.89 0.6 9. 8..5..7 0.675 0.67 C 0 0 0.0 5.87 0.0 0.79.7 0.6 78.9 5.8.66.80. 0.690 0.606 C 0 5. 5..8 0.0 0.0.60 0.6 67..5.87.7.5 0.7 0.6 C 8 8.7 8.7 5.5 8.00 0.87.5 0.90.9.0.8.97.0 0.598 0.565 C 8.7.7.0 8.00 0.0. 0.90 6. 9.0.99.5 0.88 0.6 0.55 C 8.5.5.7 8.00 0.0.6 0.90.5 8... 0.775 0.6 0.57 C 6.0.8 6.00 0.7.6 0. 7. 5.78..05 0.68 0.5 0.5 C 6 0.5 0.5.08 6.00 0..0 0. 5. 5.0. 0.860 0.56 0.59 0.500 C 6 8. 8.0.9 6.00 0.00.9 0...5. 0.687 0.88 0.56 0.5 C 7. 7.0..00 0..7 0.96.58.9.7 0.5 0.7 0.7 0.59 C 5. 5.0.58.00 0.8.58 0.96.85.9.56 0. 0.77 0. 0.57 Notes:. Axes - and - are prinipal entroidal axes.. The distane is measured from the entroid to the bak of the web.. For axis -, the tabulated value of S is the smaller of the two setion moduli for this axis. 009 Cengage Learning. All Rights Reserved. May not be sanned, opied or dupliated, or posted to a publily aessible website, in whole or in part.

978 APPENDIX E Proties of Strutural-Steel Shapes TABLE E-(b) PROPERTIES OF CHANNEL SECTIONS (C SHAPES) SI UNITS Flange Axis - Axis - Mass Web Average Designation meter Area Depth thikness Width thikness I S r I S r kg mm mm mm mm mm 0 6 mm 0 mm mm 0 6 mm 0 mm mm mm C 80 7 7.0 980 8 8. 9.5 6.5 68 88.58 6.8.0 0. C 80 60 60.0 760 8. 89. 6.5 5 76 8.8 5.7. 9.8 C 80 50. 50. 650 8 0. 86. 6.5 688.6 50.6.9 0.0 C 0 5 5.0 5680 05.0 80.5.7 67. 09..6 9. 7. C 0 7 7.0 70 05 9.8 77.5.7 59.9 9.85 0.6 9.8 7. C 0 0.8 0.8 90 05 7.6 7.7.7 5.7 5 7.6 8. 0. 7.7 C 50 5 5.0 5680 5 7. 77.0..9 9 86.9.6 7.0 7.0 6.5 C 50 7 7.0 70 5. 7.. 7.9 98 89..9. 7. 5.7 C 50 0 0.0 790 5 9.6 69.6..8 59 9.0.7.5 7.5 5. C 50.8.8 890 5 6.0 66.0. 8.0 98. 0.95 8.8 8. 6. C 00 7.9 7.9 550 0. 6. 9.9 8. 80 7.6 0.80 6.6 5.. C 00 0.5 0.5 60 0 7.70 59. 9.9 5.0 8 75.9 0.6.9 5.6. C 00 7. 7. 70 0 5.59 57. 9.9.5 79.0 0.55.7 5.8.5 C 50 9. 9. 60 5. 5.9 8.7 7.0 9.7 5. 0.7 0.5.. C 50 5.6 5.6 990 5 7.98 5.6 8.7 6.9 8.6 56. 0.58 9.9..7 C 50.. 50 5 5.08 8.8 8.7 5.5 7. 59. 0.86 8.00.6.0 C 00 0.8 0.8 70 0 8.5.7 7.5.9 7.5 7. 0.77 5.5..7 C 00 8 8.00 00 0.67 0. 7.5.60.5 9.6 0.0.5..6 Notes:. Axes - and - are prinipal entroidal axes.. The distane is measured from the entroid to the bak of the web.. For axis -, the tabulated value of S is the smaller of the two setion moduli for this axis. 009 Cengage Learning. All Rights Reserved. May not be sanned, opied or dupliated, or posted to a publily aessible website, in whole or in part.

APPENDIX E Proties of Strutural-Steel Shapes 979 a TABLE E-(a) PROPERTIES OF ANGLE SECTIONS WITH EQUAL LEGS (L SHAPES) USCS UNITS Weight Axis - and Axis - Axis - Designation foot Area I S r r min in. lb in. in. in. in. in. in. L 8 8 5.0 5.0 89. 5.8..6.56 L 8 8 / 8.9. 69.9..6.6.57 L 8 8 / 6. 7.75 8.8 8.6.9.7.59 L 6 6 7..0 5. 8.55.79.86.7 L 6 6 / 8.7 8.6 8. 6.6.8.77.7 L 6 6 / 9.6 5.77 9.9.59.86.67.8 L 5 5 7/8 7. 7.98 7.8 5.6.9.56 0.97 L 5 5 / 6..75..5.5. 0.980 L 5 5 /8..6 8.76..55.7 0.986 L / 8.5 5. 7.6.79.8.7 0.77 L /.8.75 5.5.96..8 0.776 L /8 9.80.86..50.. 0.779 L -/ -/ /8 8.50.8.86.5.07.00 0.68 L -/ -/ / 5.80.69.00 0.787.09 0.95 0.688 L / 9.0.75.0.06 0.895 0.99 0.580 L /.90.. 0.569 0.96 0.86 0.585 Notes:. Axes - and - are entroidal axes parallel to the legs.. The distane is measured from the entroid to the bak of the legs.. For axes - and -, the tabulated value of S is the smaller of the two setion moduli for those axes.. Axes - and - are prinipal entroidal axes. 5. The moment of inertia for axis -, whih is the smaller of the two prinipal moments of inertia, an be found from the equation I Ar min. 6. The moment of inertia for axis -, whih is the larger of the two prinipal moments of inertia, an be found from the equation I I I I. 009 Cengage Learning. All Rights Reserved. May not be sanned, opied or dupliated, or posted to a publily aessible website, in whole or in part.

980 APPENDIX E Proties of Strutural-Steel Shapes a TABLE E-(b) PROPERTIES OF ANGLE SECTIONS WITH EQUAL LEGS (L SHAPES) SI UNITS Mass Axis - and Axis - Axis - Designation meter Area I S r r min mm kg mm 0 6 mm 0 mm mm mm mm L 0 0 5. 75.9 9680 7. 59 6.7 59.9 9.6 L 0 0 9 57.9 750 9. 00 6.5 57. 9.9 L 0 0.7 9. 5000 0. 7 6. 55. 0. L 5 5 5. 55.7 700.7 0 5.5 7. 9.7 L 5 5 9.7 560.7 09 6. 5.0 9.7 L 5 5.7 9. 70 8.8 75. 7.. 0.0 L 7 7. 0.5 550 7. 8.6 7.8 9.6.7 L 7 7.7. 060.70 5.6 8.9 6..9 L 7 7 9.5 8. 0.65 9.5 9..8 5.0 L 0 0 9 7.5 50.7 5.7 0.0. 9.7 L 0 0.7 9.0 0.0. 0.7 0.0 9.7 L 0 0 9.5.6 850.80.6. 8.7 9.8 L 89 89 9.5.6 600.9 8.8 7. 5. 7. L 89 89 6. 8.60 090 0.8.9 7.7. 7.5 L 76 76.7.0 770 0.96 7..7.6.7 L 76 76 6. 7.0 99 0.5 9..5..9 Notes:. Axes - and - are entroidal axes parallel to the legs.. The distane is measured from the entroid to the bak of the legs.. For axes - and -, the tabulated value of S is the smaller of the two setion moduli for those axes.. Axes - and - are prinipal entroidal axes. 5. The moment of inertia for axis -, whih is the smaller of the two prinipal moments of inertia, an be found from the equation I Ar min. 6. The moment of inertia for axis -, whih is the larger of the two prinipal moments of inertia, an be found from the equation I I I I. 009 Cengage Learning. All Rights Reserved. May not be sanned, opied or dupliated, or posted to a publily aessible website, in whole or in part.

APPENDIX E Proties of Strutural-Steel Shapes 98 a d TABLE E-5(a) PROPERTIES OF ANGLE SECTIONS WITH UNEQUAL LEGS (L SHAPES) USCS UNITS Weight Axis - Axis - Axis - Designation foot Area I S r d I S r r min tan a in. lb in. in. in. in. in. in. in. in. in. in. L 8 6..0 80.9 5..9.65 8.8 8.9.7.65.8 0.5 L 8 6 /.0 6.75. 8.0.55.6.7.79.79.6.0 0.557 L 7 / 6. 7.69 7.8 8.9..50 9.00.0.08.00 0.855 0. L 7 / 7.9 5.5 6.6 5.79.5.0 6.8.0. 0.90 0.866 0. L 6 /.6 6.9.5 6..88.07 8.6.95..07 0.856 0.8 L 6 / 6..75 7...9.98 6..06. 0.98 0.86 0.0 L 5 -/ / 9.8 5.8.9.6.55.7 5.5.0 0.97 0.99 0.7 0.6 L 5 -/ /.6.00 0.0.97.58.65.0.55.00 0.90 0.750 0.79 L 5 /.8.75 9..89.58.7.55. 0.8 0.76 0.6 0.57 L 5 / 6.60.9 5.09.5.6.6. 0.600 0.85 0.68 0.65 0.7 L -/ /.9.50 5.0.9...76.50.0 0.99 0.76 0.750 L -/ / 6.0.8.89.0.6..07 0.79.07 0.897 0.7 0.759 L /..5 5.0.87...0.0 0.858 0.8 0.6 0.5 L /8 8.50.8.9..6.7.89 0.85 0.87 0.775 0.66 0.55 L / 5.80.69.75 0.988.7.. 0.585 0.887 0.75 0.69 0.558 Notes:. Axes - and - are entroidal axes parallel to the legs.. The distanes and d are measured from the entroid to the baks of the legs.. For axes - and -, the tabulated value of S is the smaller of the two setion moduli for those axes.. Axes - and - are prinipal entroidal axes. 5. The moment of inertia for axis -, whih is the smaller of the two prinipal moments of inertia, an be found from the equation I Ar min. 6. The moment of inertia for axis -, whih is the larger of the two prinipal moments of inertia, an be found from the equation I I I I. 009 Cengage Learning. All Rights Reserved. May not be sanned, opied or dupliated, or posted to a publily aessible website, in whole or in part.

98 APPENDIX E Proties of Strutural-Steel Shapes a d TABLE E-5(b) PROPERTIES OF ANGLE SECTIONS WITH UNEQUAL LEGS (L SHAPES) SI UNITS Mass Axis - Axis - Axis - Designation meter Area I S r d I S r r min tan a mm kg mm 0 6 mm 0 mm mm mm 0 6 mm 0 mm mm mm mm L 0 5 5. 65.5 890.7 7 6. 67. 6. 6.7.9.5 0.5 L 0 5.7. 50 8.5 6.8 6.5 9.0 78.5 5.5 7..0 0.557 L 78 0 9 8.8 960 5.7 7 56. 6.5.75 9. 7. 5..7 0. L 78 0.7 6.5 90. 9.9 57. 6.0.70. 8...0 0. L 5 0 9 5.0 80 0. 0 7.8 5.6.59 8. 8. 7..7 0.8 L 5 0.7.0 060 7.0 70.6 8.5 50..59.8 9.0.9.9 0.0 L 7 89 9 9. 750 5.79 69.8 9...0 6..7 5. 8.9 0.6 L 7 89.7 0. 580.5 8.7 0..9.67 5. 5..9 9. 0.79 L 7 76.7 9.0 0.9 7. 0...06 8.5 0.9 8.9 6. 0.57 L 7 76 6. 9.80 50..7..7 0.587 9.8.7 6.5 6.6 0.7 L 0 89.7 7.6 60..5..5.57.6 6. 5. 8. 0.750 L 0 89 6. 9.0 70.0 6.6.0 9.0 0.86.0 7..8 8. 0.759 L 0 76.7 6. 00.09 0.6.5.5 0.999 8.0.8 0.9 6. 0.5 L 0 76 9.5.6 600.6.6.0. 0.787.9. 9.7 6. 0.55 L 0 76 6. 8.60 090. 6...0 0.55 9.59.5 8. 6. 0.558 Notes:. Axes - and - are entroidal axes parallel to the legs.. The distanes and d are measured from the entroid to the baks of the legs.. For axes - and -, the tabulated value of S is the smaller of the two setion moduli for those axes.. Axes - and - are prinipal entroidal axes. 5. The moment of inertia for axis -, whih is the smaller of the two prinipal moments of inertia, an be found from the equation I Ar min. 6. The moment of inertia for axis -, whih is the larger of the two prinipal moments of inertia, an be found from the equation I I I I. 009 Cengage Learning. All Rights Reserved. May not be sanned, opied or dupliated, or posted to a publily aessible website, in whole or in part.