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-9 in.- T C ㅑ 6.77 in. 314 in. 14.1 in. The strength of a W14x38 rolled-steel beam is increased by attaching a 9x3/4 in plate to its upper flange as shown. Determine the moment of inertia of the composite section with respect to an axis which is parallel to the plate and passes through the centroid C of the composite section. Please refer to the table below for Wide-flange properties.

-9 in.- T C ㅑ 6.77 in. 314 in. 14.1 in. The strength of a W14x38 rolled-steel beam is increased by attaching a 9x3/4 in plate to its upper flange as shown. Determine the moment of inertia of the composite section with respect to an axis which is parallel to the plate and passes through the centroid C of the composite section. Please refer to the table below for Wide-flange properties.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Statics of Rigid Bodies (Write the COMPLETE Solutions and FBDs legibly. No long explanation needed.)
-9 in.- T C ㅑ 6.77 in. 314 in. 14.1 in. The strength of a W14x38 rolled-steel beam is increased by attaching a 9x3/4 in plate to its upper flange as shown. Determine the moment of inertia of the composite section with respect to an axis which is parallel to the plate and passes through the centroid C of the composite section. Please refer to the table below for Wide-flange properties.
Transcribed Image Text:-9 in.- T C ㅑ 6.77 in. 314 in. 14.1 in. The strength of a W14x38 rolled-steel beam is increased by attaching a 9x3/4 in plate to its upper flange as shown. Determine the moment of inertia of the composite section with respect to an axis which is parallel to the plate and passes through the centroid C of the composite section. Please refer to the table below for Wide-flange properties.
APPENDIX B Properties of Rolled-Steel Shapes (U.S. Customary Units) W Shapes (Wide-Flange Shapes) Designationt W:36 X 302 135 W33 X 201 118 W30 x 173 99 145 410 68 10m 包 106 05 0 15 0 15 265534 35 38 38 322 W27 X 146 84 W24 X 104 W21 x 101 62 44 WIS X 106 76 35 W16 X 77 57 40 31 26 W14 X 370 82 68 38 30 26 Area A, in² 88.8 39.7 59.2 34.7 51.0 29.1 43.1 24.8 Depth d, in. 37.3 35.6 31.1 22.3 30.6 24.1 22.6 16.8 11.8. 9.13 7.68 20.1 23.7 109 33.7 15.7 32.9 11.5 27.4 26.70 29.8 21.4 18.3 21.0 13.0 20.7 18.7 18.2 14.7 18.0 10.3 17.7 30.4 15.0 29.7 10.50 16.5 16.4 16.0 15.9 15.7 17.9 14.8 42.7 24.0 14.3 20.0 14.0 15.6 13.9 12.6 13.7 Thick- Width ness b, in. tin. 16.7 12.0 11.2 14.1 8.85 13.8 7.69 13.9 6.49 13.7 14.0 10.0 12.8 8.97 12.3 Flange 8.24 6.50 11.2 11.0 7.50 6.00 10.3 7.12 7.00 5.53 5.50 16,5 15.5 10.1 10.0 8.06 8.00 6.77 6.73 5.03 5.00 1.68 0.790 1.15 0.740 1.07 0.670 0.975 0.640 0.750 0.585 Web Thick- ness tin. rin 0.945 21100 0.600 7800 0.715 0.550 0.655 0.520 0.605 0.460 0.500 0.415 0.800 0.500 0.615 0.400 0.450 0.350 0.940 0.590 0.680 0.425 0.570 0.355 0.425 0.300 0.76 0.455 0.715 0.430 0.505 0.305 0.440 0.275 0.345 0.250 2.66 1.66 1.09 0.680 0.855 0.510 0.720 0.660 0.530 0.415 0.370 0.305 0.515 0.310 0.385 0.270 0.420 0.255 0.335 0.230 11600 686 5900 359 8230 3990 3660 2850 3100 1830 2420 1330 843 1910 1330 800 510 1110 758 518 375 301 Axis X-X S, in³ 1130 439 881 722 541 428 385 291 245 199 541 269 414 213 258 154 227 127 81.6 204 146 134 5440 607 1710 232 123 103 14.0 13.0 77.8 62.6 Axis Y-Y rin. in S. in³ 15.4 1300 14.0 225 12.7 11.7 7.84 7.73 $8.9 7.38 57.6 7.04 11.3 10.7 10.1 9.55 7.00 92.2 6.72 64.7 6.63 47.2 6.41 38.4 6.26 9.02 8.54 8.06 7.07 6.33 6.05 6.01 5.89 5.82 IT 54.6 5.87 42.0 5.73 35.3 5.65 29.0 5.54 749 187 598 128 443 106 220 152 40.1 15.3 X- 259 40.7 70.4 13.7 9.59 1990 677 248 40.3 57.5 14.0 20.7 6.37 156 148 121 37.7 95.2 32.6 8.91 7.00 A wide-flange shape is designated by the letter W followed by the nominal depth in inches and the weight in pounds per foot. 79.8 24.5 63.5 21.2 138 26.9 43.1 12.1 28.9 12.4 39.4 27.6 10.7 5.12 87.3 29.3 24.2 57.7 14.3 45.2 11.3 26.7 19,6 8.25 4.49 3.49 241 ·X Fyr in. 3.82 2.38 3.56 2.32 3.42 2.10 3.20 2.07 2.91 1.87 2.89 1.77 1.26 2.66 2.61 1.65 1.22 2.47 1.60 1.57 1.17 1.12 4.27 3.98 2.48 2.46 1.92 1.89 1.35 1.49 7.88 5.82 3.55 1.08 2.80 1.04
Transcribed Image Text:APPENDIX B Properties of Rolled-Steel Shapes (U.S. Customary Units) W Shapes (Wide-Flange Shapes) Designationt W:36 X 302 135 W33 X 201 118 W30 x 173 99 145 410 68 10m 包 106 05 0 15 0 15 265534 35 38 38 322 W27 X 146 84 W24 X 104 W21 x 101 62 44 WIS X 106 76 35 W16 X 77 57 40 31 26 W14 X 370 82 68 38 30 26 Area A, in² 88.8 39.7 59.2 34.7 51.0 29.1 43.1 24.8 Depth d, in. 37.3 35.6 31.1 22.3 30.6 24.1 22.6 16.8 11.8. 9.13 7.68 20.1 23.7 109 33.7 15.7 32.9 11.5 27.4 26.70 29.8 21.4 18.3 21.0 13.0 20.7 18.7 18.2 14.7 18.0 10.3 17.7 30.4 15.0 29.7 10.50 16.5 16.4 16.0 15.9 15.7 17.9 14.8 42.7 24.0 14.3 20.0 14.0 15.6 13.9 12.6 13.7 Thick- Width ness b, in. tin. 16.7 12.0 11.2 14.1 8.85 13.8 7.69 13.9 6.49 13.7 14.0 10.0 12.8 8.97 12.3 Flange 8.24 6.50 11.2 11.0 7.50 6.00 10.3 7.12 7.00 5.53 5.50 16,5 15.5 10.1 10.0 8.06 8.00 6.77 6.73 5.03 5.00 1.68 0.790 1.15 0.740 1.07 0.670 0.975 0.640 0.750 0.585 Web Thick- ness tin. rin 0.945 21100 0.600 7800 0.715 0.550 0.655 0.520 0.605 0.460 0.500 0.415 0.800 0.500 0.615 0.400 0.450 0.350 0.940 0.590 0.680 0.425 0.570 0.355 0.425 0.300 0.76 0.455 0.715 0.430 0.505 0.305 0.440 0.275 0.345 0.250 2.66 1.66 1.09 0.680 0.855 0.510 0.720 0.660 0.530 0.415 0.370 0.305 0.515 0.310 0.385 0.270 0.420 0.255 0.335 0.230 11600 686 5900 359 8230 3990 3660 2850 3100 1830 2420 1330 843 1910 1330 800 510 1110 758 518 375 301 Axis X-X S, in³ 1130 439 881 722 541 428 385 291 245 199 541 269 414 213 258 154 227 127 81.6 204 146 134 5440 607 1710 232 123 103 14.0 13.0 77.8 62.6 Axis Y-Y rin. in S. in³ 15.4 1300 14.0 225 12.7 11.7 7.84 7.73 $8.9 7.38 57.6 7.04 11.3 10.7 10.1 9.55 7.00 92.2 6.72 64.7 6.63 47.2 6.41 38.4 6.26 9.02 8.54 8.06 7.07 6.33 6.05 6.01 5.89 5.82 IT 54.6 5.87 42.0 5.73 35.3 5.65 29.0 5.54 749 187 598 128 443 106 220 152 40.1 15.3 X- 259 40.7 70.4 13.7 9.59 1990 677 248 40.3 57.5 14.0 20.7 6.37 156 148 121 37.7 95.2 32.6 8.91 7.00 A wide-flange shape is designated by the letter W followed by the nominal depth in inches and the weight in pounds per foot. 79.8 24.5 63.5 21.2 138 26.9 43.1 12.1 28.9 12.4 39.4 27.6 10.7 5.12 87.3 29.3 24.2 57.7 14.3 45.2 11.3 26.7 19,6 8.25 4.49 3.49 241 ·X Fyr in. 3.82 2.38 3.56 2.32 3.42 2.10 3.20 2.07 2.91 1.87 2.89 1.77 1.26 2.66 2.61 1.65 1.22 2.47 1.60 1.57 1.17 1.12 4.27 3.98 2.48 2.46 1.92 1.89 1.35 1.49 7.88 5.82 3.55 1.08 2.80 1.04
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