A built-up beam is constructed by welding two C7x9.8 channels Bseparated by a distance b=2.75in to...

 

  

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A built-up beam is constructed by welding two C7x9.8 channels Bseparated by a distance b=2.75in to two (8 in x 1 in) plates. Use this information and the information in the link to answer the questions below. . Click link for more area, centroid, and centroidal area moments of inertia of the channels. I I Description W dx W 1b/ft A in² 50 40 d BP in bf in tf in I in 0.65 0.65 0.65 0.51 0.501 0.501 0.387 0.282 0.501 0.673 0.526 0.379 in C15x50 14.7 15 3.72 0.716 C15×40 11.8 15 3.52 0.52 C15x33.9 33.9 10 15 3.4 0.4 C12x30 30 8.81 12 3.17 0.674 162 C12x25 25 7.34 12 3.05 0.674 144 C12x20.7 20.7 6.08 12 2.94 0.698 129 C10x30 30 8.81 10 3.03 0.436 0.649 103 C10x25 25 7.35 10 2.89 0.436 0.617 91.1 C10x20 20 5.87 10 2.74 0.436 0.606 78.9 C10x15.3 15.3 4.48 10 2.6 0.24 0.436 0.634 67.3 C9×20 20 5.87 9 2.65 0.448 0.413 0.583 60.9 C9x15 15 4.4 9 2.49 0.285 0.413 0.586 51 C9×13.4 3.94 9 2.43 0.233 0.413 0.601 47.8 13.4 C8x18.75 18.75 5.51 8 2.53 0.487 0.39 0.565 43.9 2.34 0.303 0.39 0.554 36.1 C8x13.75 13.75 4.03 8 C8x11.5 11.5 3.37 2.26 0.22 0.39 0.572 32.5 2.3 0.419 0.366 0.532 27.2 0.314 0.366 0.525 24.2 2.19 2.09 0.21 0.366 21.2 C7x14.75 14.75 4.33 7 C7x12.25 12.25 3.59 7 C7x9.8 9.8 2.87 7 3.82 6 3.07 6 2.39 6 C6x13 13 2.16 0.437 0.343 17.3 C6x10.5 10.5 0.343 0.5 15.1 C6x8.2 8.2 0.343 0.512 13.1 2.03 0.314 1.92 0.2 1.89 0.325 0.32 1.75 0.19 0.32 0.484 C5x9 9 2.64 5 0.478 8.89 C5x6.7 6.7 5 7.48 1.97 2.13 4 C4x7.25 7.25 1.72 0.321 0.296 0.459 4.58 C4x6.25 6.25 1.84 4 1.65 0.247 0.296 0.453 4.19 C4×5.4 5.4 1.58 4 0.184 0.296 0.457 3.85 C4x4.5 4.5 1.34 4 0.473 3.53 1.58 1.52 0.125 0.296 0.273 0.273 0.439 1.85 C3x6 6 1.76 3 1.6 0.455 2.07 0.3 C3x5 5 1.47 3 1.5 0.356 0.258 0.17 1.37 0.132 C3x4.1 4.1 1.2 3 1.41 0.273 0.437 1.65 C3x3.5 3.5 1.09 3 0.273 0.443 1.57 İzz in 0.799 404 0.778 348 0.788 315 0.541 0.514 Iyu 4 in 11 9.17 8.07 5.12 4.45 3.86 3.93 3.34 2.8 2.27 2.41 1.91 1.75 1.97 1.52 1.31 1.37 1.16 0.957 1.05 0.86 0.687 0.624 0.47 0.425 0.374 0.312 0.265 0.241 0.191 0.169 A) What is the area moment of inertia around the centroidal x-axis? Type your answer in the box below. Ī ___in.4 B) What is the radius of gyration around the centroidal x-axis? Type your answer in the box below. Kx=_______in X= C) What is the area moment of inertia around the centroidal y-axis? Type your answer in the box below. Ī y=_____in.4 D) What is the radius of gyration around the centroidal y-axis? Type your answer in the box below. ky= in. A built-up beam is constructed by welding two C7x9.8 channels Bseparated by a distance b=2.75in to two (8 in x 1 in) plates. Use this information and the information in the link to answer the questions below. . Click link for more area, centroid, and centroidal area moments of inertia of the channels. I I Description W dx W 1b/ft A in² 50 40 d BP in bf in tf in I in 0.65 0.65 0.65 0.51 0.501 0.501 0.387 0.282 0.501 0.673 0.526 0.379 in C15x50 14.7 15 3.72 0.716 C15×40 11.8 15 3.52 0.52 C15x33.9 33.9 10 15 3.4 0.4 C12x30 30 8.81 12 3.17 0.674 162 C12x25 25 7.34 12 3.05 0.674 144 C12x20.7 20.7 6.08 12 2.94 0.698 129 C10x30 30 8.81 10 3.03 0.436 0.649 103 C10x25 25 7.35 10 2.89 0.436 0.617 91.1 C10x20 20 5.87 10 2.74 0.436 0.606 78.9 C10x15.3 15.3 4.48 10 2.6 0.24 0.436 0.634 67.3 C9×20 20 5.87 9 2.65 0.448 0.413 0.583 60.9 C9x15 15 4.4 9 2.49 0.285 0.413 0.586 51 C9×13.4 3.94 9 2.43 0.233 0.413 0.601 47.8 13.4 C8x18.75 18.75 5.51 8 2.53 0.487 0.39 0.565 43.9 2.34 0.303 0.39 0.554 36.1 C8x13.75 13.75 4.03 8 C8x11.5 11.5 3.37 2.26 0.22 0.39 0.572 32.5 2.3 0.419 0.366 0.532 27.2 0.314 0.366 0.525 24.2 2.19 2.09 0.21 0.366 21.2 C7x14.75 14.75 4.33 7 C7x12.25 12.25 3.59 7 C7x9.8 9.8 2.87 7 3.82 6 3.07 6 2.39 6 C6x13 13 2.16 0.437 0.343 17.3 C6x10.5 10.5 0.343 0.5 15.1 C6x8.2 8.2 0.343 0.512 13.1 2.03 0.314 1.92 0.2 1.89 0.325 0.32 1.75 0.19 0.32 0.484 C5x9 9 2.64 5 0.478 8.89 C5x6.7 6.7 5 7.48 1.97 2.13 4 C4x7.25 7.25 1.72 0.321 0.296 0.459 4.58 C4x6.25 6.25 1.84 4 1.65 0.247 0.296 0.453 4.19 C4×5.4 5.4 1.58 4 0.184 0.296 0.457 3.85 C4x4.5 4.5 1.34 4 0.473 3.53 1.58 1.52 0.125 0.296 0.273 0.273 0.439 1.85 C3x6 6 1.76 3 1.6 0.455 2.07 0.3 C3x5 5 1.47 3 1.5 0.356 0.258 0.17 1.37 0.132 C3x4.1 4.1 1.2 3 1.41 0.273 0.437 1.65 C3x3.5 3.5 1.09 3 0.273 0.443 1.57 İzz in 0.799 404 0.778 348 0.788 315 0.541 0.514 Iyu 4 in 11 9.17 8.07 5.12 4.45 3.86 3.93 3.34 2.8 2.27 2.41 1.91 1.75 1.97 1.52 1.31 1.37 1.16 0.957 1.05 0.86 0.687 0.624 0.47 0.425 0.374 0.312 0.265 0.241 0.191 0.169 A) What is the area moment of inertia around the centroidal x-axis? Type your answer in the box below. Ī ___in.4 B) What is the radius of gyration around the centroidal x-axis? Type your answer in the box below. Kx=_______in X= C) What is the area moment of inertia around the centroidal y-axis? Type your answer in the box below. Ī y=_____in.4 D) What is the radius of gyration around the centroidal y-axis? Type your answer in the box below. ky= in.

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Based on the information provided we need to determine the area moment of inertia I and the radius of gyration k both around the centroidal xaxis and yaxis for the builtup beam which is constructed by ... View the full answer