Question 3) SHOW ALL WORK, EVERYSTEP! Compute the moment of inertia about the strong axis (i.e., the horizontal axis) of
Posted: Fri Mar 04, 2022 9:49 am
Question 3) SHOW ALL WORK, EVERYSTEP!
Compute the moment of inertia about the strong axis (i.e., the
horizontal axis) of a W16×100 using the tabulated dimensions listed
in Appendix F (Image located above Table F-1(a)). Note that your
answer should be very close to (and slightly less than) what’s
tabulated in Table F-1(a).
Hint: You can ignore the fillet region between the flange and
the web when computing the moment of inertia.
Hint: Make sure NOT to double-count areas when computing the
moment of inertia. The dimension d is the entire height of the
section, not the depth of the web portion. Refer to schematic
below.
APPENDIX F
Y k1 k d X- -х т T tw Y bf Тk
APPENDIX F Properties of Structural-Steel Shapes In the following tables, the properties of a few structural-steel shapes are presented as an aid in solving problems in the text. These tables were compiled from the extensive tables in the Manual of Steel Construction, published by the American Institute of Steel Construction, Inc. (Ref. 5-4). Notation: I = moment of inertia S = section modulus r= I/A = radius of gyration
1090 Appendix F Properties of Structural-Steel Shapes 2 . 109 Table F-1(a) Properties of Wide-Flange Sections (W Shapes)—USCS Units (Abridged List) Weight Flange Axis 1-1 Axis 2-2 per Web Designation Foot Area Depth Thickness Width Thickness S r S r lb in? in. in. in. in. in in in. in in in. W 30 x 211 211 62.2 30.9 0.775 15.1 1.32 10300 665 12.9 757 100 3.49 W 30 x 132 132 38.9 30.3 0.615 10.5 1.00 5770 380 12.2 196 37.2 2.25 W 24 x 162 162 47.7 25.0 0.705 13.0 1.22 5170 414 10.4 443 68.4 3.05 W 24 x 94 94.0 27.7 24.3 0.515 9.07 0.875 2700 222 9.87 24.0 1.98 W 18 x 119 119 35.1 19.0 0.655 11.3 1.06 2190 231 7.90 253 44.9 2.69 W 18 x 71 71.0 20.8 18.5 0.495 7.64 0.810 1170 127 7.50 60.3 15.8 1.70 W 16 X 100 100 29.5 17.0 0.585 10.4 0.985 1490 175 7.10 186 35.7 2.51 W 16 x 77 77.0 16.5 0.455 10.3 0.760 1110 7.00 138 26.9 W 16 x 57 57.0 16.8 16.4 0.430 7.12 0.715 758 92.2 6.72 43.1 1.60 W 16 X 31 31.0 9.13 15.9 0.275 5.53 0.440 375 47.2 6.41 12.4 4.49 1.17 W 14 x 120 120 35.3 14.5 0.590 14.7 0.940 1380 190 6.24 495 67.5 3.74 W 14 x 82 82.0 24.0 14.3 0.510 10.1 0.855 881 123 6.05 148 29.3 2.48 W 14 x 53 53.0 15.6 13.9 0.370 8.06 0.660 541 77.8 5.89 57.7 14.3 1.92 W 14 x 26 7.69 13.9 0.255 5.03 0.420 35.3 5.65 8.91 3.55 1.08 W 12 x 87 87.0 25.6 12.5 0.515 0.810 740 118 5.38 241 W 12 x 50 50.0 14.6 12.2 0.370 8.08 0.640 391 64.2 5.18 56.3 1.96 W 12 x 35 35.0 10.3 12.5 0.300 6.56 0.520 285 45.6 5.25 24.5 7.47 1.54 W 12 x 14 14.0 4.16 11.9 0.200 3.97 0.225 88.6 14.9 4.62 2.36 1.19 0.753 22.6 134 2.47 12.1 26.0 245 12.1 3.07 39.7 13.9
Compute the moment of inertia about the strong axis (i.e., the
horizontal axis) of a W16×100 using the tabulated dimensions listed
in Appendix F (Image located above Table F-1(a)). Note that your
answer should be very close to (and slightly less than) what’s
tabulated in Table F-1(a).
Hint: You can ignore the fillet region between the flange and
the web when computing the moment of inertia.
Hint: Make sure NOT to double-count areas when computing the
moment of inertia. The dimension d is the entire height of the
section, not the depth of the web portion. Refer to schematic
below.
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APPENDIX F Properties of Structural-Steel Shapes In the following tables, the properties of a few structural-steel shapes are presented as an aid in solving problems in the text. These tables were compiled from the extensive tables in the Manual of Steel Construction, published by the American Institute of Steel Construction, Inc. (Ref. 5-4). Notation: I = moment of inertia S = section modulus r= I/A = radius of gyration
1090 Appendix F Properties of Structural-Steel Shapes 2 . 109 Table F-1(a) Properties of Wide-Flange Sections (W Shapes)—USCS Units (Abridged List) Weight Flange Axis 1-1 Axis 2-2 per Web Designation Foot Area Depth Thickness Width Thickness S r S r lb in? in. in. in. in. in in in. in in in. W 30 x 211 211 62.2 30.9 0.775 15.1 1.32 10300 665 12.9 757 100 3.49 W 30 x 132 132 38.9 30.3 0.615 10.5 1.00 5770 380 12.2 196 37.2 2.25 W 24 x 162 162 47.7 25.0 0.705 13.0 1.22 5170 414 10.4 443 68.4 3.05 W 24 x 94 94.0 27.7 24.3 0.515 9.07 0.875 2700 222 9.87 24.0 1.98 W 18 x 119 119 35.1 19.0 0.655 11.3 1.06 2190 231 7.90 253 44.9 2.69 W 18 x 71 71.0 20.8 18.5 0.495 7.64 0.810 1170 127 7.50 60.3 15.8 1.70 W 16 X 100 100 29.5 17.0 0.585 10.4 0.985 1490 175 7.10 186 35.7 2.51 W 16 x 77 77.0 16.5 0.455 10.3 0.760 1110 7.00 138 26.9 W 16 x 57 57.0 16.8 16.4 0.430 7.12 0.715 758 92.2 6.72 43.1 1.60 W 16 X 31 31.0 9.13 15.9 0.275 5.53 0.440 375 47.2 6.41 12.4 4.49 1.17 W 14 x 120 120 35.3 14.5 0.590 14.7 0.940 1380 190 6.24 495 67.5 3.74 W 14 x 82 82.0 24.0 14.3 0.510 10.1 0.855 881 123 6.05 148 29.3 2.48 W 14 x 53 53.0 15.6 13.9 0.370 8.06 0.660 541 77.8 5.89 57.7 14.3 1.92 W 14 x 26 7.69 13.9 0.255 5.03 0.420 35.3 5.65 8.91 3.55 1.08 W 12 x 87 87.0 25.6 12.5 0.515 0.810 740 118 5.38 241 W 12 x 50 50.0 14.6 12.2 0.370 8.08 0.640 391 64.2 5.18 56.3 1.96 W 12 x 35 35.0 10.3 12.5 0.300 6.56 0.520 285 45.6 5.25 24.5 7.47 1.54 W 12 x 14 14.0 4.16 11.9 0.200 3.97 0.225 88.6 14.9 4.62 2.36 1.19 0.753 22.6 134 2.47 12.1 26.0 245 12.1 3.07 39.7 13.9