Select 4 of the beams from the tables that best fit using the
minimum section modulus method and explain why those 4 were
chosen
We will use a factor of Safety of 2.5. We will assume that there are 24 beams running across the short side of townhouse Total Load is 6600 pounds X 2.5 = 16500 LBS Spread across 24 beams = 16500 LBS/24 = 687.5 LBS The beam will be 20 feet long and the distributed load will be 687.5 Lbs/20 Feet = 35.00 Lbs/Ft Wo = 35.00 LBS/Ft FAY FBY! Use 1000 PSI as the Max Normal Stress for the wood beam omax = 1000 psi
in.2 8.99 24 68 18 x 50 18.0 Designation Area A Depth d Web thickness tw Flange width bf Flange thickness tf Ix Sx 1x ly Sy ry in. in. in. in. in.4 in.3 in. in.4 in.3 in. W24 94 27.7 24.3 0.515 9.07 0.875 2700 222 9.87 109 24.0 1.98 24 x 76 22.4 23.9 0.440 0.680 2100 176 9.69 82.5 18.4 1.92 20.1 23.7 0.415 8.97 0.585 1830 154 9.55 70.4 15.7 1.87 24 * 55 16.2 23.6 0.395 7.01 0.505 1350 114 9.11 29.1 8.30 1.34 W21 x 68 20.0 21.1 0.430 8.27 0.685 1480 140 8.60 64.7 15.7 1.80 21 x 62 18.3 21.0 0.400 8.24 0.615 1330 127 8.54 57.5 14.0 1.77 21 x 50 14.7 20.8 0.380 6.53 0.535 984 94.5 8.18 24.9 7.64 1.30 21 x 44 13.0 20.7 0.350 6.50 0.450 843 81.6 8.06 20.7 6.37 1.26 W18 x 55 16.2 18.1 0.390 7:53 0.630 890 98.3 7.41 44.9 11.9 1.67 14.7 0.355 7.50 0.570 800 88.9 7:38 40.1 10.7 1.65 11.8 17.9 0.315 6.02 0.525 612 68.4 7.21 19.1 6.35 1.27 10.3 17.7 0.300 6.00 0.425 510 57.6 7.04 15.3 5.12 1.22 W16 x 57 16.8 16.4 0.430 7.12 0.715 758 92.2 6.72 43.1 12.1 1.60 16 x 50 14.7 16.3 0.380 7.07 0.630 659 81.0 6.68 37.2 10.5 1.59 16 x 40 11.8 16.0 0.305 7.00 0.505 518 64.7 6.63 28.9 8.25 1.57 16 x 31 9.13 15.9 0.275 5.53 0.440 375 47.2 6.41 12.4 4.49 1.17 W14 x 68 20.0 14.0 0.415 10.0 0.720 722 103 6.01 121 24.2 2.46 14 x 53 15.6 13.9 0.370 8.06 0.660 541 77.8 5.89 57.7 14.3 1.92 14 X 48 14.1 13.8 0.340 8.03 0.595 484 70.2 5.85 51.4 12.8 1.91 14 x 34 10.0 14.0 0.285 0.455 340 48.6 5.83 23.3 6.91 1.53 14 x 30 8.85 13.8 0.270 0.385 291 42.0 5.73 19.6 5.82 1.49 14 x 26 7.69 13.9 0.255 5.03 0.420 245 35.3 5.65 8.91 3.55 1.08 14 x 22 6.49 13.7 0.230 5.00 0.335 199 29.0 5.54 7.00 2.8 1.04 18 x 40 18 x 35 6.75 6.73
W10 x 54 Designation Area A Depth d Web thickness tw Flange width bf Flange thickness tf 1x Sx rx Iy Sy ry in.2 in. in. in. in. in.4 in.3 in. in.4 in.3 in. W12 x 58 17.0 12.2 0.360 10.0 0.640 475 78.0 5.28 107 21.4 2.51 12 x 50 14.6 12.2 0 370 8.08 0.640 391 64.2 5.18 56.3 13.9 1.96 12 x 40 11.7 11.9 0.295 8.01 0.515 307 51.5 5.13 44.1 11.0 1.94 12 x 30 8.79 12.3 0.260 6.52 0.440 238 38.6 5.21 20.3 6.24 1.52 12 x 26 7.65 12.2 0.230 6.49 0.380 204 33.4 5.17 17.3 5.34 1.51 12 x 22 6.48 12.3 0.260 4.03 0.425 156 25.4 4.91 4.66 2.31 0.848 12 x 14 4.16 11.9 0.200 3.97 0.225 86.6 14.9 4.62 2.36 1.19 0.753 15.8 10.1 0.370 10.0 0.615 303 60.0 4.37 103 20.6 2.56 10 X 45 13.3 10.1 0.350 8.02 0.620 248 49.1 4.32 53.4 13-3 2.01 10 x 30 8.84 10.5 0.300 5.81 0.510 170 32.4 4.38 16.7 5.75 1.37 10 x 26 7.61 10.3 0.260 5.77 0.440 144 27.9 4.35 14.1 4.89 1.36 10 X 22 6.49 10.2 0.240 5.75 0.360 118 23.2 4.27 11.4 3.97 1.33 10 x 15 4.41 10.0 0.230 4.00 0.270 68.9 13.8 3.95 2.89 1.45 0.81 W8 X 48 14.1 8.50 0.400 8.11 0.685 184 43.2 3.61 60.9 15 2.08 11.7 8.25 0.360 8.07 0.560 146 35.5 3.53 49.1 12.2 2.04 9.12 8.00 0.285 8.00 0.435 110 27.5 3.47 37.1 9.27 2.02 7.93 0.245 6.50 0.400 82.7 20.9 3.42 18.3 5.63 1.61 4:44 8.11 0.245 4.01 0.315 48 11.8 3.29 3.41 1.70 0.876 7.34 6.38 0.320 6.08 0.455 53.4 16.70 2.7 17.1 5.61 1.52 6 x 20 5.87 6.20 0.260 6.02 0.365 41.4 13.4 2.66 13.3 4.41 1.50 6 x 15 4.43 5.99 0.230 5.99 0.260 29.1 9.72 2.56 9.32 3.11 1.45 6 x 12 3-55 6.03 0.230 4.00 0.280 22.1 7.31 2.49 2.99 1.50 0.918 8 x 40 8 x 31 8 x 24 7.08 8 x 15 W6 x 25
3.52 C12 x 30 Designation Area A Depth d Web thickness tw Flange width bf Flange thickness tf Centroid x 1x Sx x Sy ry in. in. in. in. in. in. in.4 in.3 in. in.4 in.3 in. C15 x 50 14.7 15 0.716 3.72 0.650 0.799 404 53.8 5.24 11.0 3.77 0.865 15 x 40 11.8 15 0.520 0.650 0.778 348 46.5 5.45 9.17 3.34 0.883 15 x 33.9 10.0 15 0.400 3.40 0.650 0.788 315 42.0 5.62 8.07 3.09 0.901 8.81 0.510 3.17 0.501 0.674 162 27.0 4.29 5.12 2.05 0.762 12 x 25 7:34 0.387 3.05 0.501 0.674 144 24.0 4.43 4.45 1.87 0.779 12 x 20.7 6.08 0.282 2.94 0.501 0.698 129 21.5 4.61 3.86 1.72 0.797 C10 x 30 8.81 0.673 3.03 0.436 0.649 103 20.7 3.42 3.93 1.65 0.668 10 x 25 7.34 0.526 2.89 0.436 0.617 91.1 18.2 3.52 3.34 1.47 0.675 10 x 20 5.87 0.379 2.74 0.436 0.606 78.9 15.8 3.66 2.80 1.31 0.690 10 X 15.3 4.48 0.24 2.60 0.436 0.634 67.3 13.5 3.87 2.27 1.15 0.711 C9 x 20 5.87 9 0.448 2.65 0.583 60.9 13.5 3.22 2.41 1.17 0.640 9 X 15 4.41 9 0.285 2.49 0.413 0.586 51.0 11.3 3.40 1.91 1.01 0.659 9 x 13.4 3.94 9 0.233 2.43 0.413 0.601 47.8 10.6 3.49 1.75 0.954 0.666 C8 x 18.7 5.51 8 0.487 2.53 0.390 0.565 43.9 11.0 2.82 1.97 1.01 0.598 4.04 8 0.303 2.34 0.390 0.554 36.1 9.02 2.99 1.52 0.848 0.613 8 x 11.5 3.37 8 0.220 2.26 0.390 0.572 32.5 8.14 3.11 1.31 0.775 0.623 C7 x 14.7 4.33 7 0.419 2.30 0.366 0.532 27.2 7.78 2.51 1.37 0.772 0.561 7 x 12.2 3.6 7 0.314 2.19 0.366 0.525 24.2 6.92 2.60 1.16 0.696 0.568 7* 9.8 2.87 7 0.210 2.09 0.366 0.541 21.2 6.07 2.72 0.957 0.617 0.578 C6 x 13 3.81 6 0.437 2.16 0.343 0.514 17.3 5.78 2.13 1.05 0.638 0.524 6 x 10.5 3.08 6 0.314 2.03 0.343 0.500 15.1 5.04 2.22 0.86 0.561 0.529 5 5 5 5 5 5 5 சு சு சு 0.413 8 x 13.7
Designation Depth d Width b Web thickness (nom.) t Weight per foot Area A 1 Sce Tx ly Sy ly in. in. in. lb/ft in.2 in.4 in.3 in. in.4 in.3 in. HSS12 x 8 x 1/2 12 8 0.5 62.3 17.2 333 55.6 4.41 178 44.4 3.21 x 8 x 3/8 12 8 0.375 47.8 13.2 262 43.7 4:47 140 35.1 3.27 x 6 x 1/2 12 6 0.5 55-5 15.3 271 45.2 4.21 91.1 30.4 2.44 x 6 x 3/8 12 6 0.375 42.7 11.8 215 35.9 4.28 72.9 24.3 2.49 HSS10 x 6 x 1/2 10 6 0.5 48.7 13.5 171 34.3 3.57 76.8 25.6 2.39 x 6 x 3/8 10 6 0.375 37.6 10.4 137 27.4 3.63 61.8 20.6 2.44 x 4 x 1/2 10 4 0.5 41.9 11.6 129 25.8 3.34 29.5 14.7 1.59 * 4* 3/8 10 4 0.375 32.5 8.97 104 20.8 3.41 24.3 12.1 1.64 HSS8 x 4 x 1/2 8 4 0.5 35.1 9.74 71.8 17.9 2.71 23.6 11.8 1.56 * 4* 3/8 8 4 0.375 27.4 7-58 58.7 14.7 2.78 19.6 9.80 1.61 x 4x 1/4 8 4 0.25 19.0 5.24 42.5 10.6 2.85 14.4 7.21 1.66 x 4 x 1/8 8 4 0.125 9.85 2.70 22.9 5.73 2.92 7.90 3.95 1.71 HSS6 x 4* 3/8 6 4 0.375 22.3 6.18 28.3 9.43 2.14 14.9 7.47 1.55 x 4x 1/4 6 4 0.25 15.6 4.30 20.9 6.96 2.20 11.1 5.56 1.61 * 4x 1/8 6 4 0.125 8.15 2.23 11.4 3.81 2.26 6.15 3.08 1.66 *3* 3/8 6 3 0.375 19.7 5.48 22.7 7.57 2.04 7.48 4.99 1.17 * 3 * 1/4 6 3 0.25 13.9 3.84 17.0 5.66 2.10 5.70 3.8 1.22 * 3 * 1/8 6 3 0.125 7.30 2.00 9.43 3.14 2.17 3.23 2.15 1.27
Select 4 of the beams from the tables that best fit using the minimum section modulus method and explain why those 4 wer
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Select 4 of the beams from the tables that best fit using the minimum section modulus method and explain why those 4 wer
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