answer for B only. Handwritten please.

AEC 207 Structural Analysis and Planning Names: In Class Assignment Nov. 14, 2018 FRAMING PLAN - BEAM DESIGN: TEAM PROJECT FOR EACH OF THE FRAMING PLANS, LOADS AND STEEL TYPE SHOWN BELOW, DESIGN THE INDICATED BEAMS (B1, B2 AND G1). USE A DEFLECTION LIMIT OF L/240. FOLLOW THESE STEPS: .. LOAD PATH AND FBD OF EACH MEMBER SHEAR AND MOMENT DIAGRAMS (DETERMINE Vmax AND Mmax) .. BEAM DESIGN B2 C1 B2 C1 A. B1 B. B1 25 25 B1 B1 G1 G1 G1 B2 B2 20 20' DL=45 PSF LL=60 PSF DL=45 PSF LL=60 PSF TL = 105 PSF A 572 GRADE 50 STEEL A36 STEEL G1 C1 C1 G1 | Table 5.2 Allowable stresses for selected engineering materials. Unit Weight (density) y (pfc) Modules of Elasticity E (ksi) Allowable Allowable Allowable Allowable Allowable Tension Axial Compress Bending Shear Stress Compress Bearing Stress Stress F F FCI Fb F, Materials 490 490 490 165 450 29,000 30,000 30,000 10,000 15,000 22 ksi 30 ksi 39 ksi 16 ksi 5 ksi 22 ksi 30 ksi 39 ksi 16 ksi 20 ksi 22 ksi 30 ksi 39 ksi 16 ksi 5 ksi 14.5 ksi 20 ksi 26 ksi 10 ksi 7.5 ksi 150 165 120 3,000 1,000 1,500 100 psi 10 psi 20 psi Metals: A36 Steel Fy = 36 ksi A572 Grade 50/A992 A572 Steel Fy = 65 ksi Aluminum Iron (cast) Brittle Materials: Concrete Stone Masonry Brick Masonry Wood: Doug-Fir Larch North* Joist & Rafters (No.2) Beams & Posts (No. 1) Southern Pine Joists & Rafters (No. 2) Beams & Posts (D-No. 1) Hem-Fir* Joists & Rafters (No. 2) Beams & Posts (No. 1) 1,350 psi 100 psi 300 psi 100 psi 10 psi 30 psi 35 35 1,700 1,600 650 psi 700 psi 1,050 psi 1,000 psi 625 psi 1,450 psi 1,300 psi 95 psi 625 psi 85 psi 35 35 1,600 1,600 625 psi 1,000 psi 1,050 psi 975 psi 565 psi 440 psi 1,400 psi 1,550 psi 90 psi 110 psi 30 30 1,400 1,300 800 psi 600 psi 1,050 psi 850 psi 405 psi 405 psi 1,150 psi 1,000 psi 75 psi 70 psi Wood Products: Glu-Lam Beams Micro-Lam Beams Parallam Beams 35 37 45 1,800 1,800 2,000 1,100 psi 1,650 psi 1,850 psi 2,460 psi 2,000 psi 2,900 psi 650 psi 750 psi 650 psi 2,400 psi 2,600 psi 2,900 psi 165 psi 285 psi 290 psi *Averaged stress values for design. WIDE FLANGE SHAPES WIDE FLANGE SHAPES 1 Theoretical Dimensions and Properties for Designing Flange Axis Y-Y Axis Y-Y 11 s $ in. in, in. in. in. Weight Area Depth Web Section per of of Thick. Thick Number Foot Section Section Width Section Section Width nessness S. A d . w Ib in." in. in. . in. in. in." in. in. W36 X 300 88.3 35.74 16.655 1.680 0.945 20300 1110 15.2 1300 280 82.4 36.52 16.595 1,570 0.885 18900 1030 15.1 1200 260 76.5 36.26 16.550 1.440 0.840 17300 953 15.0 1090 245 72.1 36.08 16.510 1.350 0.800 16100 895 15.0 1010 230 67.6 35.90 16.470 1.260 0.750 15000 837 14.9 940 W36 x 210 61.8 36.69 12.180 1.360 0.830 13200 719 14.6 411 194 57.0 36.49 12.115 1.260 0.765 12100 664 14,6 375 182 53.6 36.33 12.075 1.180 0.725 11300 623 14.5 347 170 50.0 35,17 12.030 1.100 0.680 10500 580 14.5 320 160 47.0 47.0 36.01 12.000 1.020 0.650 9750 542 14.4 295 150 44.2 35.85 11.975 0.940 0.625 9040 504 14.3 270 135 39.7 39.7 35.55 11.950 0.790 0.600 7800 439 14.0 225 156 144 132 123 114 3.83 3.81 3.78 3.75 3.73 4.39 4.37 4.34 4.32 4.30 W27 114 Theoretical Dimensions and Properties for Designing Flange Axis X-X Weight Area Death Web Section per ol of Thick Thick Number Foot Section Section Width ness ness 1 S. 1 d b, It in in . in. in." in. W27 X 178 52.3 27.81 14.081.190 0.725 6990 6990502 11.6 555 161 47.4 27.59 14.020 1.090 0.660 6280 455 11.5 497 146 42.9 27.33 13.955 0.975 0.605 5630 5630 41 11.4 443 33.5 27.29 10.070 0.930 0.570 4090 299 11.0 159 30.0 27.09 10.015 0.830 0.515 3620 267 11.0 139 27.7 26.929.990 0.745 0.490 3270 243 10.9 124 24.8 26.71 9.960 0.640 0.460 2850 213 10.7 106 W24 x 162 47.7 25.00 12.955 1.220 0.705 5170 414 10.4 443 43.0 24.74 12.900 1.090 0.650 4580 371 10.3 391 38.5 24.48 12.855 0.950 0.505 4020 329 10.2 340 34.4 24.26 12.800 0.850 0.550 3540 3540 291 10.1 297 306 24.06 12.750 0.750 0.500 3100 256 10.1 259 W24 x 94 27.7 24.31 9.065 0.875 0.515 2700 222 9.87 109 24.7 24.10 9.020 0.770 0.470 2370 196 9.79 94.4 22.4 23.92 8.990 0.680 0.440 2100 176 9.69 82.5 20.1 23.738.965 0.585 0.415 1830 1830 154 9.55 70.4 78.8 3.26 70.9 3.24 63.5 3.21 31.5 2.18 27.8 2.15 24.8 2.12 21.2 2.07 3.72 3.70 3.68 2.58 2.56 253 2.49 67.5 2.58 61.9 2.56 57.6 2.55 53.2 2.53 49.1 2.50 45.1 2.47 37.7 2.38 3.09 3.07 3.05 3.04 3.02 2.99 2.93 68.4 3.05 60.5 3.01 530 2.97 46.5 294 40.7 2.91 3.45 3.43 3.40 3.37 3.35 W33 x 241 221 201 70.9 34.18 15.860 1.400 0.830 14200 65.0 33.93 15.805 1.275 0.775 12800 59.1 33.68 15.745 1.150 0.715 11500 829 757 684 14.1 14.1 14.0 932 840 749 118 3.63 106 3.59 95.2 3.56 4.17 4.15 4.12 24,0 1,98 20.9 1.95 18.4 1.92 15.7 1.87 2.33 2.31 2.29 2.26 W33 x 152 44.7 141 41.6 130 38.3 118 34.7 33.49 11.565 1.055 0.635 33.30 11.535 0.960 0.605 33.09 11.510 0.855 0.580 32.86 11.480 0.740 0.550 8150 7450 6710 5900 487 448 406 359 13. 13.4 13.2 13.0 273 246 218 187 47.2 2.47 42.7 2.43 37.9 2.39 32.6 2.32 2.94 2.92 2.88 2.84 W24 = = = = = = = = = = = = = = = = = = = = = = = = = = = = 18.2 23.74 7.040 0.590 0.430 1550 16.2 23.57 7.005 0.505 0.395 1350 131 114 9.23 9.11 34.5 29.1 9.80 1.38 8.30 1.34 1.71 1.68 W21147 W30 x 211 191 173 62.0 30.94 15.105 1.315 0.775 56.1 30.68 15.040 1.185 0.710 50.8 30.44 14.985 1.065 0.655 10300 9170 8200 663 598 539 12.8 12.8 12.7 757 673 598 100 3.49 89.5 3.46 79.8 3.43 3.99 3.97 3.94 43.2 22.06 12.510 1.150 0.720 3530 329 38.8 21.83 12.440 1.035 0.650 3220 3220 295 35.9 21.68 12.390 0.960 0.600 2960 273 32.7 21.51 12.340 0.875 0.550 2670 2670 249 29.8 21.36 12.290 0.800 0.500 2420 227 9.17 376 9.12 333 9.09 305 9.05 274 9.02 248 60.1 2.95 53.5 2.93 49.2 2.92 44.5 2.90 40.3 2.89 3.34 3.31 3.30 3.28 3.27 W21 W30 x 132 38.9 30.31 10.545 1.000 0.615 124 36.5 30.17 10.515 0.930 0.585 116 34.2 30.01 10.495 0.850 0.565 108 31.7 29.83 10,475 0.750 0.545 99 29. 29.1 29.65 10.450 0.670 0.520 5770 5350 4930 4470 3990 380 355 329 299 269 12.2 12.1 12.0 11.9 11.7 195 181 164 146 128 37.2 2.25 34.4 2.23 31.3 2.15 27.3 2.15 24.5 2.10 2.68 2.66 2.64 2.61 2.57 27.3 21.62 8.420 0.930 0.580 2070 192 24.3 21.43 8.355 0.835 0.515 1830 1830 171 21.5 21.24 8.295 0.740 0.455 1600 151 20.0 21.13 8.270 0.685 0.430 1480 140 18.3 20.99 8.240 0.615 0.400 1330 127 8.70 8.67 8.54 8.60 8.54 92.9 81.4 70.6 54.2 57,5 22.11.14 19.5 1.83 17.0 1.81 15.7 1.80 13.9 1.77 2.17 2.15 2.13 2.12 2.10 W21 57 16.7 21.06 6.555 0.650 0.405 14.7 20.83 6.530 0.535 0.30 13.0 20.66 6.500 0.450 0.350 1170 984 843 111 8.36 94.5 8.18 81.8 8.06 30.6 24.9 20.7 9.35 1.35 7.64 1.30 6.36 1.26 1.64 1.60 1.57 WIDE FLANGE SHAPES WIDE FLANGE SHAPES HE Axis Y-Y Aris Y.Y Theoretical Dimensions and Properties for Designing Flange Axis X-X X Weight Area Depth Web Section per of of Thick. Thick Number Foot Section Section Width ness s, . A d by 1 Ib in. ' in. in. in. . in. in. in in ." , ness S S Ty in." in, in. in. in.' in in. 2.69 2.66 2.65 2.63 2.61 3.02 3.00 2.99 2.97 2.95 W18 x 119 35.1 18.97 11.265 1.060 0.655 2190 106 31,1 18.73 11.200 0.940 0.590 1910 97 28.5 18.59 11.145 0.870 0.535 1750 86 25.3 18.39 11.090 0.770 0.480 1530 76 22.3 18.21 11.035 0.680 0.425 1330 W18 71 20.8 18.47 7.635 0.810 0.495 1170 65 19.1 18.35 7.590 0.750 0.450 1070 60 17.6 18.24 7.555 0.695 0.415 984 55 16.2 18.11 7.530 0.630 0.390 890 50 14.7 17.99 7.495 0.570 0.355 800 5131789388 7.90 7.84 7.82 7.77 7.73 7.50 7.49 7.47 7.41 7.38 * 253 220 201 175 152 60.3 54.8 50.1 44.9 40.1 527 472 423 378 339 304 44.9 39.4 36.1 31.6 27.6 15.8 14.4 13.3 11.9 10.7 4.69 4.62 4.55 4.49 4,43 4.38 4.99 4.92 4.85 4.79 4.73 4.68 1.70 1.69 1.69 1.67 1.65 1.98 1.97 1,96 1.95 1.94 98.3 88.9 W1BX 46 13.5 18.06 6.060 0.605 0.360 40 11.8 17.90 6.015 0.525 0.315 35 10.3 10.3 17.70 6.000 0.425 0.300 712 612 510 78.8 7.25 68.4 7.21 57.6 7.04 22.5 19.1 15.3 7.43 1.29 6.35 1.27 5.12 1.22 1.54 1.52 1.49 Theoretical Dimensions and Properties for Designing Flange Axis X-X Weight Area Depth Web Section per of of Thick. Thick Number Foot Section Section Width ness ness 1. S. 4 d b w in. in. in. in. in. in. in.. W14 x 730215 22.42 17.890 4.910 3.070 14300 1280 8.17 4720 665 196 21.64 17.650 4.520 2.830 12400 1150 7.98 4170 605178 20.92 17,415 4.160 2.595 10800 1040 7.80 3580 550162 20.24 17.200 3.820 2.380 9430 931 7.63 3250 500147 19.60 17.010 3.500 2.190 8210 838 7.48 2880 455134 19.02 16.835 3.210 2.015 7190 756 7.33 2560 W14 x 426 125 18.67 16.695 3.035 1.875 6600 202 7.26 2360 398 117 18.29 16.590 2.845 1.770 6000 656 7.16 2170 370 109 17.92 16.475 2.560 1.655 5440 607 7.07 1990 342 101 17.54 16.360 2.470 1.540 4900 559 6.98 1810 311 91.4 81,4 17.12 16.230 2.260 1.410 4330 506 6.88 1510 283 83.3 16.74 16.110 2.070 1.290 3840 459 6.79 1440 257 75.6 16.38 15.995 1.890 1.175 3400 3400 415 6.71 1290 233 68.5 16.04 15.890 1.720 1.070 3010 375 6.63 1150 211 62.0 15.72 15.800 1.560 0.980 2660 338 6.55 1030 193 56.8 15.48 15.710 1.440 0.890 2400 310 6.50 931 17651.8 51.8 15.22 15.650 1.310 0.830 2140 281 6.43 838 159 46.7 14.98 15,565 1.190 0.745 1900 254 6.38 748 145 42.7 14.78 15.500 1.090 0.680 1710 232 6.33 677 W14 x 132 38.8 14.66 14.725 1.030 0.645 1530 209 6.28 548 120 35.3 14.48 14.670 0.940 0.590 1380 190 6.24 495 109 32.0 14.32 14.605 0.860 0.525 1240 173 6.22 447 99 29.1 14.16 14.565 0.780 0.485 1110 157 6.17 402 90 26.5 14.02 14.520 0.710 0.440 999 143 6.14 362 W14 82 24.1 14.31 10.130 0.855 0.510 882 123 6.05 148 74 21.8 14.17 10.070 0.785 0.450 796 112 6.04 134 68 20.0 14.04 10.035 0.720 0.415 723 103 6.01 121 61 17.9 13.89 9.995 0.645 0.375 640 92.2 5.98 107 53 15.6 13.92 8.060 0.660 0.370 541 77.8 5.89 57.7 48 14.1 13.798.030 0.595 0.340 485 70.3 5.85 51.4 43 12.6 13.68 7.995 0.530 0.305 428 62.7 5.82 45.2 283 4.34 4.64 262 4.31 4.61 241 4.27 4.57 221 4.24 4.54 199 4.20 4.50 179 4.17 4.46 161 4.13 4.43 145 4.10 4.40 130 4.02 4.37 119 4.05 4.35 107 4.02 4.32 96.2 4.00 4.30 87.3 3.98 4.28 W15 x 100 89 77 67 29.4 16.97 10.425 0.985 0.585 1490 26.2 16.75 10.365 0.875 0.525 1300 22.6 16.52 10.295 0.760 0.455 1110 19.7 16.33 10.235 0.665 0.395 954 175 155 134 117 7.10 7.05 7.00 6.95 186 163 138 119 35.7 31.4 26.9 23.2 2.52 2.49 2.47 2.46 2.81 2.79 2.77 2.75 ees. ************* W16 x 57 16.8 16.43 7.120 0.715 0.430 758 50 14.7 16.26 7.070 0.630 0.380 659 45 13.3 16.13 16.13 2.035 0.565 0.345 586 40 11.8 11.8 16.01 6.995 0.505 0.305518 36 10.6 15.866.985 0.430 0.295 448 92.2 6.72 81.0 5.68 72.7 6.65 64.7 6.63 56.5 6.51 43.1 37.2 32.8 28.9 24.5 12.1 1.60 10.5 1.59 9.34 1.57 8.25 1.57 7.00 1.52 1.86 1.84 1.83 1.82 1.79 wiaz 74.5 3.76 67.5 3.74 61.2 3.73 55.2 3.71 49.9 3.70 4.05 4.04 4.02 4.00 3.99 W16 X 31 26 9.12 15.88 5.525 0.440 0.275 7.68 15.69 5.500 0.345 0.250 375 301 47.2 38.4 6.41 6.26 12.4 9.59 4.49 1.17 3.49 1.12 1.39 1.36 29.3 2.48 26.6 2.48 24.2 2.46 21.5 2.45 2.74 2.72 2.71 2.70 W14 14.3 1.92 2.15 12.8 1.91 2.13 11.3 1.89 2.12 WIDE FLANGE SHAPES WIDE FLANGE SHAPES 1 19 Axis Y-Y Axis Y.Y Theoretical Dimensions and Properties for Designing Flange Axis X-X Weight Area Depth Web Section per of of Thick. Thick- Number Foot Section Section Width Section Section Widthness ness S. d 6 4 |b in.in.in.in. in. in. in.' in. Theoretical Dimensions and Properties for Designing Flange Anis X-X Weight Area Depth Web Section per of al Thick Thick Number Feet Section Section Width nessness 1 $. . Ad b in. in. in. in. in. 1 1 S V S, in." in. in. in. in. in. W14 x 38 34 30 11.2 14.10 6.770 0.515 0.310 385 10.0 13.98 6.745 0.455 0.285 340 8.85 13.84 6.730 0.385 0.270 291 54.6 48.6 5.88 5.83 5.73 26.7 23.3 19.6 7.88 1.55 6.91 1.53 5.82 1.49 1.77 1.76 1.74 126 4.66 112 4.60 98.5 4.54 2.88 2.85 2.83 42.0 W14 85.9 26 22 7.69 13.91 5.025 0.420 0.255 6.49 13.74 5.000 0.335 0.230 245 199 35.3 5.65 29.0 5.54 8.91 7.00 3.54 1.08 2.80 1.04 1.28 1.25 716 623 534 455 394 341 303 272 W10 x 112 32.9 11.36 10.415 1.250 0.755 100 29.4 11.10 10.340 1.120 0.680 8E 125.9 10.84 10.265 0.990 0.605 77 22.6 10.60 10.190 0.870 0.530 68 20.0 10.40 10.130 0.770 0.470 60 17.6 10.22 10.080 0.680 0.420 54 15.8 10.09 10.030 0.615 0.370 49 14.4 9.98 10.000 0.560 0.340 W10 x 45 13.3 10.10 8.020 0.620 0.350 39 11.5 9.92 7.985 0.530 0.315 33 9.71 9.73 9.737.960 0.435 0.290 236 207 179 154 134 116 103 93.4 4.49 75.7 4.44 66.7 4.39 60.0 4.37 54.6 4.35 2.80 2.79 2.77 45.3 2.68 40.0 2.65 34.8 2.63 30.1 2.60 26.4 2.59 23.0 2.57 20.6 2.56 18.7 2.54 W12 x 190 x 170 152 263 235 209 2.75 2.74 55.8 14.38 12.670 1.735 1.060 1890 500 14.03 12.570 1.560 0.960 1650 44.7 13.71 12.480 1.400 0.870 1430 39.9 13.41 12.400 1.250 0.790 1240 35.3 13.12 12.320 1.105 0.710 1070 31.2 12.89 12.220 0.990 0.610 933 5.82 589 5.74 517 5.66 454 5.58 398 5.51 345 5.47 301 93.0 3.25 82.3 3.22 72.8 3.19 64.2 3.16 56. 3.13 49.3 3.11 3.50 3,47 3.44 3.41 3.38 3.36 49.1 42get": 136 120 106 42.1 248 209 170 186 163 145 4.33 4.27 4.19 53.4 45.0 36.6 13.3 2.01 11.3 1.98 9.20 1.94 2.18 2.16 2.14 35.0 W10 x 96 87 79 833 740 662 30 26 22 8.84 10.47 5.810 0.510 0.300 7.61 10.33 5.770 0.440 0.260 6.49 10.17 5.750 0.360 0.240 170 144 118 3.34 3.32 3.31 32.4 4.38 27.9 4.35 23.2 4.27 16.7 14.1 11.4 5.75 1.37 4.89 1.36 3.97 1.33 28.2 12.71 12.160 0.900 0.550 25.5 12.53 12.125 0.810 0.515 23.2 12.38 12.080 0.735 0.470 21.1 12.25 12.040 0.670 0.430 19.1 12.12 12.000 0.605 0.390 1.55 1.54 1.51 131 5.44 270 118 5.38 241 107 5.34 216 97.4 5.31 195 87.9 5.28 174 % 5m 44.4 3.09 39.7 3.07 35.8 3.05 32.4 3.04 29.1 3.02 W10 x 72 65 597 533 3.29 3.28 19 17 15 12 5.62 10.24 4.020 0.395 0.250 4.99 10.11 4.010 0.330 0.240 4.41 9.99 9.99 4.000 0.270 0.230 3.54 9.87 3.960 0.210 0.190 96 3 81.9 68.9 53.8 18.8 4.14 16.2 4.05 13.8 3.95 10.9 3.90 4.29 3.56 2.89 2.18 2.14 0.874 1.03 1.78 0.845 1.01 1.45 0.810 0.987 1.10 0.785 0.965 W12 58 53 17.0 12.19 10.010 0.640 0.360 15.6 12.06 9.995 0.575 0.345 475 425 78.0 70.6 5.28 107 5.23 95.8 21.4 2.51 19.2 2.48 2.72 2.71 394 350 310 W12 x 50 45 40 14.7 12.198,080 0.640 0.370 13.2 12.06 8.045 0.575 0.335 11.8 11.94 8.005 0.515 0.295 64.7 58.1 51.5 5.18 5.15 5.13 56.3 50.0 44.1 88.6 75.1 60,9 13.9 1.96 12.4 1.94 11.0 1.93 2.28 2.26 2.23 2.17 2.15 2.14 WB X 67 19.7 9.00 8.280 0.935 0.570 58 17.1 8.75 8.220 0.810 0.510 48 14.1 8.50 8.110 0.685 0.400 40 11.7 8.25 8.070 0.560 0.360 35 10.3 8.12 8.020 0.495 0.310 31 9.13 8.00 7.995 0.435 0.285 W8 X 28 8.25 8.06 6.535 0.465 0.285 24 7.08 7.93 6.495 0.400 0.245 272 228 184 146 127 110 60.4 3.72 52.0 3.65 43.3 3.61 35.5 3.53 31.2 3.51 27.5 3.47 21.4 2.12 18.3 2.10 15.0 2.08 12.2 2.04 10.6 2.03 9.27 2.02 49.1 42.6 37.1 2.21 2.20 2.18 W12 x 35 30 26 10.3 12.50 8.79 12.34 7.65 12.22 6.560 0.520 0.300 6.520 0.440 0.260 6.490 0.380 0.230 285 238 204 45. 5.25 38.6 5.21 33.4 5.17 24.5 20.3 17.3 7.47 1.54 6.24 1.52 5.34 151 1.74 1.73 1.72 1.77 98.0 82.& 24.3 3.45 20.9 3.42 21.7 18.3 6.63 1.62 5.63 1.61 1.78 W12 x 22 19 16 14 6.48 12.31 5.57 12.16 4.71 11.99 4.16 11.91 4.030 0.425 0.260 4.005 0.350 0.235 3.990 0.265 0.220 3.970 0.225 0.200 156 130 103 88.5 WBX 25.4 4.91 21.3 4.82 17.1 4.67 14.9 4.62 4.66 3.76 2.82 2.36 2.31 0.848 1.02 1.88 0.822 0.997 1.41 0.773 0.963 1.19 0.753 0.946 21 18 6.16 828 5.270 0.400 0.250 5.26 8.14 5.250 0.330 0.230 75.3 18.2 3.49 61.9 15.2 15.2 3.43 9.77 7.97 3.71 1.26 3.04 1.23 1.41 1.39 WB X 15 13 10 4.44 8.11 4,015 0.315 0.245 3.84 7.99 4.000 0.255 0.230 2.96 7.89 3.940 0.205 0.170 48.0 11.8 11.8 3.29 39.6 9.91 3.21 30.8 7.81 3.22 3.41 2.73 2.09 1.70 0.876 1.03 1.37 0.843 1.01 1.08 0.841 0.994 AEC 207 Structural Analysis and Planning Names: In Class Assignment Nov. 14, 2018 FRAMING PLAN - BEAM DESIGN: TEAM PROJECT FOR EACH OF THE FRAMING PLANS, LOADS AND STEEL TYPE SHOWN BELOW, DESIGN THE INDICATED BEAMS (B1, B2 AND G1). USE A DEFLECTION LIMIT OF L/240. FOLLOW THESE STEPS: .. LOAD PATH AND FBD OF EACH MEMBER SHEAR AND MOMENT DIAGRAMS (DETERMINE Vmax AND Mmax) .. BEAM DESIGN B2 C1 B2 C1 A. B1 B. B1 25 25 B1 B1 G1 G1 G1 B2 B2 20 20' DL=45 PSF LL=60 PSF DL=45 PSF LL=60 PSF TL = 105 PSF A 572 GRADE 50 STEEL A36 STEEL G1 C1 C1 G1 | Table 5.2 Allowable stresses for selected engineering materials. Unit Weight (density) y (pfc) Modules of Elasticity E (ksi) Allowable Allowable Allowable Allowable Allowable Tension Axial Compress Bending Shear Stress Compress Bearing Stress Stress F F FCI Fb F, Materials 490 490 490 165 450 29,000 30,000 30,000 10,000 15,000 22 ksi 30 ksi 39 ksi 16 ksi 5 ksi 22 ksi 30 ksi 39 ksi 16 ksi 20 ksi 22 ksi 30 ksi 39 ksi 16 ksi 5 ksi 14.5 ksi 20 ksi 26 ksi 10 ksi 7.5 ksi 150 165 120 3,000 1,000 1,500 100 psi 10 psi 20 psi Metals: A36 Steel Fy = 36 ksi A572 Grade 50/A992 A572 Steel Fy = 65 ksi Aluminum Iron (cast) Brittle Materials: Concrete Stone Masonry Brick Masonry Wood: Doug-Fir Larch North* Joist & Rafters (No.2) Beams & Posts (No. 1) Southern Pine Joists & Rafters (No. 2) Beams & Posts (D-No. 1) Hem-Fir* Joists & Rafters (No. 2) Beams & Posts (No. 1) 1,350 psi 100 psi 300 psi 100 psi 10 psi 30 psi 35 35 1,700 1,600 650 psi 700 psi 1,050 psi 1,000 psi 625 psi 1,450 psi 1,300 psi 95 psi 625 psi 85 psi 35 35 1,600 1,600 625 psi 1,000 psi 1,050 psi 975 psi 565 psi 440 psi 1,400 psi 1,550 psi 90 psi 110 psi 30 30 1,400 1,300 800 psi 600 psi 1,050 psi 850 psi 405 psi 405 psi 1,150 psi 1,000 psi 75 psi 70 psi Wood Products: Glu-Lam Beams Micro-Lam Beams Parallam Beams 35 37 45 1,800 1,800 2,000 1,100 psi 1,650 psi 1,850 psi 2,460 psi 2,000 psi 2,900 psi 650 psi 750 psi 650 psi 2,400 psi 2,600 psi 2,900 psi 165 psi 285 psi 290 psi *Averaged stress values for design. WIDE FLANGE SHAPES WIDE FLANGE SHAPES 1 Theoretical Dimensions and Properties for Designing Flange Axis Y-Y Axis Y-Y 11 s $ in. in, in. in. in. Weight Area Depth Web Section per of of Thick. Thick Number Foot Section Section Width Section Section Width nessness S. A d . w Ib in." in. in. . in. in. in." in. in. W36 X 300 88.3 35.74 16.655 1.680 0.945 20300 1110 15.2 1300 280 82.4 36.52 16.595 1,570 0.885 18900 1030 15.1 1200 260 76.5 36.26 16.550 1.440 0.840 17300 953 15.0 1090 245 72.1 36.08 16.510 1.350 0.800 16100 895 15.0 1010 230 67.6 35.90 16.470 1.260 0.750 15000 837 14.9 940 W36 x 210 61.8 36.69 12.180 1.360 0.830 13200 719 14.6 411 194 57.0 36.49 12.115 1.260 0.765 12100 664 14,6 375 182 53.6 36.33 12.075 1.180 0.725 11300 623 14.5 347 170 50.0 35,17 12.030 1.100 0.680 10500 580 14.5 320 160 47.0 47.0 36.01 12.000 1.020 0.650 9750 542 14.4 295 150 44.2 35.85 11.975 0.940 0.625 9040 504 14.3 270 135 39.7 39.7 35.55 11.950 0.790 0.600 7800 439 14.0 225 156 144 132 123 114 3.83 3.81 3.78 3.75 3.73 4.39 4.37 4.34 4.32 4.30 W27 114 Theoretical Dimensions and Properties for Designing Flange Axis X-X Weight Area Death Web Section per ol of Thick Thick Number Foot Section Section Width ness ness 1 S. 1 d b, It in in . in. in." in. W27 X 178 52.3 27.81 14.081.190 0.725 6990 6990502 11.6 555 161 47.4 27.59 14.020 1.090 0.660 6280 455 11.5 497 146 42.9 27.33 13.955 0.975 0.605 5630 5630 41 11.4 443 33.5 27.29 10.070 0.930 0.570 4090 299 11.0 159 30.0 27.09 10.015 0.830 0.515 3620 267 11.0 139 27.7 26.929.990 0.745 0.490 3270 243 10.9 124 24.8 26.71 9.960 0.640 0.460 2850 213 10.7 106 W24 x 162 47.7 25.00 12.955 1.220 0.705 5170 414 10.4 443 43.0 24.74 12.900 1.090 0.650 4580 371 10.3 391 38.5 24.48 12.855 0.950 0.505 4020 329 10.2 340 34.4 24.26 12.800 0.850 0.550 3540 3540 291 10.1 297 306 24.06 12.750 0.750 0.500 3100 256 10.1 259 W24 x 94 27.7 24.31 9.065 0.875 0.515 2700 222 9.87 109 24.7 24.10 9.020 0.770 0.470 2370 196 9.79 94.4 22.4 23.92 8.990 0.680 0.440 2100 176 9.69 82.5 20.1 23.738.965 0.585 0.415 1830 1830 154 9.55 70.4 78.8 3.26 70.9 3.24 63.5 3.21 31.5 2.18 27.8 2.15 24.8 2.12 21.2 2.07 3.72 3.70 3.68 2.58 2.56 253 2.49 67.5 2.58 61.9 2.56 57.6 2.55 53.2 2.53 49.1 2.50 45.1 2.47 37.7 2.38 3.09 3.07 3.05 3.04 3.02 2.99 2.93 68.4 3.05 60.5 3.01 530 2.97 46.5 294 40.7 2.91 3.45 3.43 3.40 3.37 3.35 W33 x 241 221 201 70.9 34.18 15.860 1.400 0.830 14200 65.0 33.93 15.805 1.275 0.775 12800 59.1 33.68 15.745 1.150 0.715 11500 829 757 684 14.1 14.1 14.0 932 840 749 118 3.63 106 3.59 95.2 3.56 4.17 4.15 4.12 24,0 1,98 20.9 1.95 18.4 1.92 15.7 1.87 2.33 2.31 2.29 2.26 W33 x 152 44.7 141 41.6 130 38.3 118 34.7 33.49 11.565 1.055 0.635 33.30 11.535 0.960 0.605 33.09 11.510 0.855 0.580 32.86 11.480 0.740 0.550 8150 7450 6710 5900 487 448 406 359 13. 13.4 13.2 13.0 273 246 218 187 47.2 2.47 42.7 2.43 37.9 2.39 32.6 2.32 2.94 2.92 2.88 2.84 W24 = = = = = = = = = = = = = = = = = = = = = = = = = = = = 18.2 23.74 7.040 0.590 0.430 1550 16.2 23.57 7.005 0.505 0.395 1350 131 114 9.23 9.11 34.5 29.1 9.80 1.38 8.30 1.34 1.71 1.68 W21147 W30 x 211 191 173 62.0 30.94 15.105 1.315 0.775 56.1 30.68 15.040 1.185 0.710 50.8 30.44 14.985 1.065 0.655 10300 9170 8200 663 598 539 12.8 12.8 12.7 757 673 598 100 3.49 89.5 3.46 79.8 3.43 3.99 3.97 3.94 43.2 22.06 12.510 1.150 0.720 3530 329 38.8 21.83 12.440 1.035 0.650 3220 3220 295 35.9 21.68 12.390 0.960 0.600 2960 273 32.7 21.51 12.340 0.875 0.550 2670 2670 249 29.8 21.36 12.290 0.800 0.500 2420 227 9.17 376 9.12 333 9.09 305 9.05 274 9.02 248 60.1 2.95 53.5 2.93 49.2 2.92 44.5 2.90 40.3 2.89 3.34 3.31 3.30 3.28 3.27 W21 W30 x 132 38.9 30.31 10.545 1.000 0.615 124 36.5 30.17 10.515 0.930 0.585 116 34.2 30.01 10.495 0.850 0.565 108 31.7 29.83 10,475 0.750 0.545 99 29. 29.1 29.65 10.450 0.670 0.520 5770 5350 4930 4470 3990 380 355 329 299 269 12.2 12.1 12.0 11.9 11.7 195 181 164 146 128 37.2 2.25 34.4 2.23 31.3 2.15 27.3 2.15 24.5 2.10 2.68 2.66 2.64 2.61 2.57 27.3 21.62 8.420 0.930 0.580 2070 192 24.3 21.43 8.355 0.835 0.515 1830 1830 171 21.5 21.24 8.295 0.740 0.455 1600 151 20.0 21.13 8.270 0.685 0.430 1480 140 18.3 20.99 8.240 0.615 0.400 1330 127 8.70 8.67 8.54 8.60 8.54 92.9 81.4 70.6 54.2 57,5 22.11.14 19.5 1.83 17.0 1.81 15.7 1.80 13.9 1.77 2.17 2.15 2.13 2.12 2.10 W21 57 16.7 21.06 6.555 0.650 0.405 14.7 20.83 6.530 0.535 0.30 13.0 20.66 6.500 0.450 0.350 1170 984 843 111 8.36 94.5 8.18 81.8 8.06 30.6 24.9 20.7 9.35 1.35 7.64 1.30 6.36 1.26 1.64 1.60 1.57 WIDE FLANGE SHAPES WIDE FLANGE SHAPES HE Axis Y-Y Aris Y.Y Theoretical Dimensions and Properties for Designing Flange Axis X-X X Weight Area Depth Web Section per of of Thick. Thick Number Foot Section Section Width ness s, . A d by 1 Ib in. ' in. in. in. . in. in. in in ." , ness S S Ty in." in, in. in. in.' in in. 2.69 2.66 2.65 2.63 2.61 3.02 3.00 2.99 2.97 2.95 W18 x 119 35.1 18.97 11.265 1.060 0.655 2190 106 31,1 18.73 11.200 0.940 0.590 1910 97 28.5 18.59 11.145 0.870 0.535 1750 86 25.3 18.39 11.090 0.770 0.480 1530 76 22.3 18.21 11.035 0.680 0.425 1330 W18 71 20.8 18.47 7.635 0.810 0.495 1170 65 19.1 18.35 7.590 0.750 0.450 1070 60 17.6 18.24 7.555 0.695 0.415 984 55 16.2 18.11 7.530 0.630 0.390 890 50 14.7 17.99 7.495 0.570 0.355 800 5131789388 7.90 7.84 7.82 7.77 7.73 7.50 7.49 7.47 7.41 7.38 * 253 220 201 175 152 60.3 54.8 50.1 44.9 40.1 527 472 423 378 339 304 44.9 39.4 36.1 31.6 27.6 15.8 14.4 13.3 11.9 10.7 4.69 4.62 4.55 4.49 4,43 4.38 4.99 4.92 4.85 4.79 4.73 4.68 1.70 1.69 1.69 1.67 1.65 1.98 1.97 1,96 1.95 1.94 98.3 88.9 W1BX 46 13.5 18.06 6.060 0.605 0.360 40 11.8 17.90 6.015 0.525 0.315 35 10.3 10.3 17.70 6.000 0.425 0.300 712 612 510 78.8 7.25 68.4 7.21 57.6 7.04 22.5 19.1 15.3 7.43 1.29 6.35 1.27 5.12 1.22 1.54 1.52 1.49 Theoretical Dimensions and Properties for Designing Flange Axis X-X Weight Area Depth Web Section per of of Thick. Thick Number Foot Section Section Width ness ness 1. S. 4 d b w in. in. in. in. in. in. in.. W14 x 730215 22.42 17.890 4.910 3.070 14300 1280 8.17 4720 665 196 21.64 17.650 4.520 2.830 12400 1150 7.98 4170 605178 20.92 17,415 4.160 2.595 10800 1040 7.80 3580 550162 20.24 17.200 3.820 2.380 9430 931 7.63 3250 500147 19.60 17.010 3.500 2.190 8210 838 7.48 2880 455134 19.02 16.835 3.210 2.015 7190 756 7.33 2560 W14 x 426 125 18.67 16.695 3.035 1.875 6600 202 7.26 2360 398 117 18.29 16.590 2.845 1.770 6000 656 7.16 2170 370 109 17.92 16.475 2.560 1.655 5440 607 7.07 1990 342 101 17.54 16.360 2.470 1.540 4900 559 6.98 1810 311 91.4 81,4 17.12 16.230 2.260 1.410 4330 506 6.88 1510 283 83.3 16.74 16.110 2.070 1.290 3840 459 6.79 1440 257 75.6 16.38 15.995 1.890 1.175 3400 3400 415 6.71 1290 233 68.5 16.04 15.890 1.720 1.070 3010 375 6.63 1150 211 62.0 15.72 15.800 1.560 0.980 2660 338 6.55 1030 193 56.8 15.48 15.710 1.440 0.890 2400 310 6.50 931 17651.8 51.8 15.22 15.650 1.310 0.830 2140 281 6.43 838 159 46.7 14.98 15,565 1.190 0.745 1900 254 6.38 748 145 42.7 14.78 15.500 1.090 0.680 1710 232 6.33 677 W14 x 132 38.8 14.66 14.725 1.030 0.645 1530 209 6.28 548 120 35.3 14.48 14.670 0.940 0.590 1380 190 6.24 495 109 32.0 14.32 14.605 0.860 0.525 1240 173 6.22 447 99 29.1 14.16 14.565 0.780 0.485 1110 157 6.17 402 90 26.5 14.02 14.520 0.710 0.440 999 143 6.14 362 W14 82 24.1 14.31 10.130 0.855 0.510 882 123 6.05 148 74 21.8 14.17 10.070 0.785 0.450 796 112 6.04 134 68 20.0 14.04 10.035 0.720 0.415 723 103 6.01 121 61 17.9 13.89 9.995 0.645 0.375 640 92.2 5.98 107 53 15.6 13.92 8.060 0.660 0.370 541 77.8 5.89 57.7 48 14.1 13.798.030 0.595 0.340 485 70.3 5.85 51.4 43 12.6 13.68 7.995 0.530 0.305 428 62.7 5.82 45.2 283 4.34 4.64 262 4.31 4.61 241 4.27 4.57 221 4.24 4.54 199 4.20 4.50 179 4.17 4.46 161 4.13 4.43 145 4.10 4.40 130 4.02 4.37 119 4.05 4.35 107 4.02 4.32 96.2 4.00 4.30 87.3 3.98 4.28 W15 x 100 89 77 67 29.4 16.97 10.425 0.985 0.585 1490 26.2 16.75 10.365 0.875 0.525 1300 22.6 16.52 10.295 0.760 0.455 1110 19.7 16.33 10.235 0.665 0.395 954 175 155 134 117 7.10 7.05 7.00 6.95 186 163 138 119 35.7 31.4 26.9 23.2 2.52 2.49 2.47 2.46 2.81 2.79 2.77 2.75 ees. ************* W16 x 57 16.8 16.43 7.120 0.715 0.430 758 50 14.7 16.26 7.070 0.630 0.380 659 45 13.3 16.13 16.13 2.035 0.565 0.345 586 40 11.8 11.8 16.01 6.995 0.505 0.305518 36 10.6 15.866.985 0.430 0.295 448 92.2 6.72 81.0 5.68 72.7 6.65 64.7 6.63 56.5 6.51 43.1 37.2 32.8 28.9 24.5 12.1 1.60 10.5 1.59 9.34 1.57 8.25 1.57 7.00 1.52 1.86 1.84 1.83 1.82 1.79 wiaz 74.5 3.76 67.5 3.74 61.2 3.73 55.2 3.71 49.9 3.70 4.05 4.04 4.02 4.00 3.99 W16 X 31 26 9.12 15.88 5.525 0.440 0.275 7.68 15.69 5.500 0.345 0.250 375 301 47.2 38.4 6.41 6.26 12.4 9.59 4.49 1.17 3.49 1.12 1.39 1.36 29.3 2.48 26.6 2.48 24.2 2.46 21.5 2.45 2.74 2.72 2.71 2.70 W14 14.3 1.92 2.15 12.8 1.91 2.13 11.3 1.89 2.12 WIDE FLANGE SHAPES WIDE FLANGE SHAPES 1 19 Axis Y-Y Axis Y.Y Theoretical Dimensions and Properties for Designing Flange Axis X-X Weight Area Depth Web Section per of of Thick. Thick- Number Foot Section Section Width Section Section Widthness ness S. d 6 4 |b in.in.in.in. in. in. in.' in. Theoretical Dimensions and Properties for Designing Flange Anis X-X Weight Area Depth Web Section per of al Thick Thick Number Feet Section Section Width nessness 1 $. . Ad b in. in. in. in. in. 1 1 S V S, in." in. in. in. in. in. W14 x 38 34 30 11.2 14.10 6.770 0.515 0.310 385 10.0 13.98 6.745 0.455 0.285 340 8.85 13.84 6.730 0.385 0.270 291 54.6 48.6 5.88 5.83 5.73 26.7 23.3 19.6 7.88 1.55 6.91 1.53 5.82 1.49 1.77 1.76 1.74 126 4.66 112 4.60 98.5 4.54 2.88 2.85 2.83 42.0 W14 85.9 26 22 7.69 13.91 5.025 0.420 0.255 6.49 13.74 5.000 0.335 0.230 245 199 35.3 5.65 29.0 5.54 8.91 7.00 3.54 1.08 2.80 1.04 1.28 1.25 716 623 534 455 394 341 303 272 W10 x 112 32.9 11.36 10.415 1.250 0.755 100 29.4 11.10 10.340 1.120 0.680 8E 125.9 10.84 10.265 0.990 0.605 77 22.6 10.60 10.190 0.870 0.530 68 20.0 10.40 10.130 0.770 0.470 60 17.6 10.22 10.080 0.680 0.420 54 15.8 10.09 10.030 0.615 0.370 49 14.4 9.98 10.000 0.560 0.340 W10 x 45 13.3 10.10 8.020 0.620 0.350 39 11.5 9.92 7.985 0.530 0.315 33 9.71 9.73 9.737.960 0.435 0.290 236 207 179 154 134 116 103 93.4 4.49 75.7 4.44 66.7 4.39 60.0 4.37 54.6 4.35 2.80 2.79 2.77 45.3 2.68 40.0 2.65 34.8 2.63 30.1 2.60 26.4 2.59 23.0 2.57 20.6 2.56 18.7 2.54 W12 x 190 x 170 152 263 235 209 2.75 2.74 55.8 14.38 12.670 1.735 1.060 1890 500 14.03 12.570 1.560 0.960 1650 44.7 13.71 12.480 1.400 0.870 1430 39.9 13.41 12.400 1.250 0.790 1240 35.3 13.12 12.320 1.105 0.710 1070 31.2 12.89 12.220 0.990 0.610 933 5.82 589 5.74 517 5.66 454 5.58 398 5.51 345 5.47 301 93.0 3.25 82.3 3.22 72.8 3.19 64.2 3.16 56. 3.13 49.3 3.11 3.50 3,47 3.44 3.41 3.38 3.36 49.1 42get": 136 120 106 42.1 248 209 170 186 163 145 4.33 4.27 4.19 53.4 45.0 36.6 13.3 2.01 11.3 1.98 9.20 1.94 2.18 2.16 2.14 35.0 W10 x 96 87 79 833 740 662 30 26 22 8.84 10.47 5.810 0.510 0.300 7.61 10.33 5.770 0.440 0.260 6.49 10.17 5.750 0.360 0.240 170 144 118 3.34 3.32 3.31 32.4 4.38 27.9 4.35 23.2 4.27 16.7 14.1 11.4 5.75 1.37 4.89 1.36 3.97 1.33 28.2 12.71 12.160 0.900 0.550 25.5 12.53 12.125 0.810 0.515 23.2 12.38 12.080 0.735 0.470 21.1 12.25 12.040 0.670 0.430 19.1 12.12 12.000 0.605 0.390 1.55 1.54 1.51 131 5.44 270 118 5.38 241 107 5.34 216 97.4 5.31 195 87.9 5.28 174 % 5m 44.4 3.09 39.7 3.07 35.8 3.05 32.4 3.04 29.1 3.02 W10 x 72 65 597 533 3.29 3.28 19 17 15 12 5.62 10.24 4.020 0.395 0.250 4.99 10.11 4.010 0.330 0.240 4.41 9.99 9.99 4.000 0.270 0.230 3.54 9.87 3.960 0.210 0.190 96 3 81.9 68.9 53.8 18.8 4.14 16.2 4.05 13.8 3.95 10.9 3.90 4.29 3.56 2.89 2.18 2.14 0.874 1.03 1.78 0.845 1.01 1.45 0.810 0.987 1.10 0.785 0.965 W12 58 53 17.0 12.19 10.010 0.640 0.360 15.6 12.06 9.995 0.575 0.345 475 425 78.0 70.6 5.28 107 5.23 95.8 21.4 2.51 19.2 2.48 2.72 2.71 394 350 310 W12 x 50 45 40 14.7 12.198,080 0.640 0.370 13.2 12.06 8.045 0.575 0.335 11.8 11.94 8.005 0.515 0.295 64.7 58.1 51.5 5.18 5.15 5.13 56.3 50.0 44.1 88.6 75.1 60,9 13.9 1.96 12.4 1.94 11.0 1.93 2.28 2.26 2.23 2.17 2.15 2.14 WB X 67 19.7 9.00 8.280 0.935 0.570 58 17.1 8.75 8.220 0.810 0.510 48 14.1 8.50 8.110 0.685 0.400 40 11.7 8.25 8.070 0.560 0.360 35 10.3 8.12 8.020 0.495 0.310 31 9.13 8.00 7.995 0.435 0.285 W8 X 28 8.25 8.06 6.535 0.465 0.285 24 7.08 7.93 6.495 0.400 0.245 272 228 184 146 127 110 60.4 3.72 52.0 3.65 43.3 3.61 35.5 3.53 31.2 3.51 27.5 3.47 21.4 2.12 18.3 2.10 15.0 2.08 12.2 2.04 10.6 2.03 9.27 2.02 49.1 42.6 37.1 2.21 2.20 2.18 W12 x 35 30 26 10.3 12.50 8.79 12.34 7.65 12.22 6.560 0.520 0.300 6.520 0.440 0.260 6.490 0.380 0.230 285 238 204 45. 5.25 38.6 5.21 33.4 5.17 24.5 20.3 17.3 7.47 1.54 6.24 1.52 5.34 151 1.74 1.73 1.72 1.77 98.0 82.& 24.3 3.45 20.9 3.42 21.7 18.3 6.63 1.62 5.63 1.61 1.78 W12 x 22 19 16 14 6.48 12.31 5.57 12.16 4.71 11.99 4.16 11.91 4.030 0.425 0.260 4.005 0.350 0.235 3.990 0.265 0.220 3.970 0.225 0.200 156 130 103 88.5 WBX 25.4 4.91 21.3 4.82 17.1 4.67 14.9 4.62 4.66 3.76 2.82 2.36 2.31 0.848 1.02 1.88 0.822 0.997 1.41 0.773 0.963 1.19 0.753 0.946 21 18 6.16 828 5.270 0.400 0.250 5.26 8.14 5.250 0.330 0.230 75.3 18.2 3.49 61.9 15.2 15.2 3.43 9.77 7.97 3.71 1.26 3.04 1.23 1.41 1.39 WB X 15 13 10 4.44 8.11 4,015 0.315 0.245 3.84 7.99 4.000 0.255 0.230 2.96 7.89 3.940 0.205 0.170 48.0 11.8 11.8 3.29 39.6 9.91 3.21 30.8 7.81 3.22 3.41 2.73 2.09 1.70 0.876 1.03 1.37 0.843 1.01 1.08 0.841 0.994