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Fig. 1 Fig. 2 a. Find the value of the y-centroid. C8 × 11.5 Y Plate b. Find I about this axis. Overall Centroid ✗ 4.0 in. 个 0.5 in. W Shapes (Wide-Flange Shapes) S Shapes (American Standard Shapes) Axis X-X Axis Y-Y Area Depth width Designation in² in. in. I, ink, in. Tx, y, in. Ty, in4 ky, in. , in. Y W18 x 76+ 22.3 18.21 11.035 1330 7.73 152 2.61 主 W16 × 57 16.8 16.43 7.120 758 6.72 43.1 1.60 W14 × 38 11.2 14.10 6.770 385 5.88 26.7 1.55 -X W8 × 31 9.13 8.00 7.995 110 3.47 37.1 2.02 Y S18 x 55.7+ 16.1 Y 18.00 6.001 804 7.07 20.8 1.14 S12 x 31.8 9.35 12.00 5.000 218 4.83 9.36 1.00 S10 x 25.4 7.46 10.00 4.661 124 4.07 6.79 0.954 S6 x 12.5 3.67 6.00 3.332 22.1 2.45 1.82 0.705 x- -X Y C12 × 20.7+ 6.09 12.00 2.942. 129 4.61 3.88 0.799 0.698 Y C Shapes C10 x 15.3 4.49 10.00 2.600 67.4 3.87 2.28 0.713 0.634 (American Standard C8 × 11.5 3.38 8.00 2.260 32.6 3.11 1.32 0.625 0.571 Channels) C6 x 8.2 2.40 6.00 1.920 13.1 2.34 0.692 0.537 0.512 x -X Y

Fig. 1 Fig. 2 a. Find the value of the y-centroid. C8 × 11.5 Y Plate b. Find I about this axis. Overall Centroid ✗ 4.0 in. 个 0.5 in. W Shapes (Wide-Flange Shapes) S Shapes (American Standard Shapes) Axis X-X Axis Y-Y Area Depth width Designation in² in. in. I, ink, in. Tx, y, in. Ty, in4 ky, in. , in. Y W18 x 76+ 22.3 18.21 11.035 1330 7.73 152 2.61 主 W16 × 57 16.8 16.43 7.120 758 6.72 43.1 1.60 W14 × 38 11.2 14.10 6.770 385 5.88 26.7 1.55 -X W8 × 31 9.13 8.00 7.995 110 3.47 37.1 2.02 Y S18 x 55.7+ 16.1 Y 18.00 6.001 804 7.07 20.8 1.14 S12 x 31.8 9.35 12.00 5.000 218 4.83 9.36 1.00 S10 x 25.4 7.46 10.00 4.661 124 4.07 6.79 0.954 S6 x 12.5 3.67 6.00 3.332 22.1 2.45 1.82 0.705 x- -X Y C12 × 20.7+ 6.09 12.00 2.942. 129 4.61 3.88 0.799 0.698 Y C Shapes C10 x 15.3 4.49 10.00 2.600 67.4 3.87 2.28 0.713 0.634 (American Standard C8 × 11.5 3.38 8.00 2.260 32.6 3.11 1.32 0.625 0.571 Channels) C6 x 8.2 2.40 6.00 1.920 13.1 2.34 0.692 0.537 0.512 x -X Y

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A box beam composed of two welded channels is shown in figure 1. To strengthen the joint, a plate is welded to the bottom of the box beam as shown in figure 2. The channels are each C8 x11.5 shape. The plate is 0.5 inches by 4.0 inches in cross-section.

(a) What is the value of the y component of the overall centroid for the beam in Figure 2 (measured from the bottom of the plate)?

(b) What is the moment of inertia about the x axis of the overall centroid for the same beam? 

please use the table below

Fig. 1 Fig. 2 a. Find the value of the y-centroid. C8 × 11.5 Y Plate b. Find I about this axis. Overall Centroid ✗ 4.0 in. 个 0.5 in.
Transcribed Image Text:Fig. 1 Fig. 2 a. Find the value of the y-centroid. C8 × 11.5 Y Plate b. Find I about this axis. Overall Centroid ✗ 4.0 in. 个 0.5 in.
W Shapes (Wide-Flange Shapes) S Shapes (American Standard Shapes) Axis X-X Axis Y-Y Area Depth width Designation in² in. in. I, ink, in. Tx, y, in. Ty, in4 ky, in. , in. Y W18 x 76+ 22.3 18.21 11.035 1330 7.73 152 2.61 主 W16 × 57 16.8 16.43 7.120 758 6.72 43.1 1.60 W14 × 38 11.2 14.10 6.770 385 5.88 26.7 1.55 -X W8 × 31 9.13 8.00 7.995 110 3.47 37.1 2.02 Y S18 x 55.7+ 16.1 Y 18.00 6.001 804 7.07 20.8 1.14 S12 x 31.8 9.35 12.00 5.000 218 4.83 9.36 1.00 S10 x 25.4 7.46 10.00 4.661 124 4.07 6.79 0.954 S6 x 12.5 3.67 6.00 3.332 22.1 2.45 1.82 0.705 x- -X Y C12 × 20.7+ 6.09 12.00 2.942. 129 4.61 3.88 0.799 0.698 Y C Shapes C10 x 15.3 4.49 10.00 2.600 67.4 3.87 2.28 0.713 0.634 (American Standard C8 × 11.5 3.38 8.00 2.260 32.6 3.11 1.32 0.625 0.571 Channels) C6 x 8.2 2.40 6.00 1.920 13.1 2.34 0.692 0.537 0.512 x -X Y
Transcribed Image Text:W Shapes (Wide-Flange Shapes) S Shapes (American Standard Shapes) Axis X-X Axis Y-Y Area Depth width Designation in² in. in. I, ink, in. Tx, y, in. Ty, in4 ky, in. , in. Y W18 x 76+ 22.3 18.21 11.035 1330 7.73 152 2.61 主 W16 × 57 16.8 16.43 7.120 758 6.72 43.1 1.60 W14 × 38 11.2 14.10 6.770 385 5.88 26.7 1.55 -X W8 × 31 9.13 8.00 7.995 110 3.47 37.1 2.02 Y S18 x 55.7+ 16.1 Y 18.00 6.001 804 7.07 20.8 1.14 S12 x 31.8 9.35 12.00 5.000 218 4.83 9.36 1.00 S10 x 25.4 7.46 10.00 4.661 124 4.07 6.79 0.954 S6 x 12.5 3.67 6.00 3.332 22.1 2.45 1.82 0.705 x- -X Y C12 × 20.7+ 6.09 12.00 2.942. 129 4.61 3.88 0.799 0.698 Y C Shapes C10 x 15.3 4.49 10.00 2.600 67.4 3.87 2.28 0.713 0.634 (American Standard C8 × 11.5 3.38 8.00 2.260 32.6 3.11 1.32 0.625 0.571 Channels) C6 x 8.2 2.40 6.00 1.920 13.1 2.34 0.692 0.537 0.512 x -X Y
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