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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W16 × 45
Wide Flange Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress occuring at the second and fourth supports of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 586 in4) for the W16 × 45 Wide Flange Steel I Beam and the typical Young's modulus (E = 3.046 × 107 psi) of steels. Note that the typical yielding stress of steels can range from 1.015 × 104 to 2.970 × 105 psi. The purpose of this page is to give a rough estimation of the load-bearing capacity of this particular beam, rather than a guideline for designing actual building structures. Please check your local building codes for regulatory requirements.
Note: The weight of the beam itself is not included in the calculation.

 Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 45.0 2.22 × 10-6 7.16 50.0 2.47 × 10-6 7.96 60.0 2.96 × 10-6 9.55 70.0 3.46 × 10-6 11.1 80.0 3.95 × 10-6 12.7 90.0 4.45 × 10-6 14.3 100 4.94 × 10-6 15.9 200 9.88 × 10-6 31.8 300 1.48 × 10-5 47.8 400 1.98 × 10-5 63.7 500 2.47 × 10-5 79.6 600 2.96 × 10-5 95.5 700 3.46 × 10-5 111 800 3.95 × 10-5 127 900 4.45 × 10-5 143 1000 4.94 × 10-5 159 2000 9.88 × 10-5 318 3000 1.48 × 10-4 478 4000 1.98 × 10-4 637 5000 2.47 × 10-4 796 6000 2.96 × 10-4 955 7000 3.46 × 10-4 1110 8000 3.95 × 10-4 1270 9000 4.45 × 10-4 1430 1.00 × 104 4.94 × 10-4 1590 2.00 × 104 9.88 × 10-4 3180 3.00 × 104 0.00148 4780 4.00 × 104 0.00198 6370 5.00 × 104 0.00247 7960 6.00 × 104 0.00296 9550 7.00 × 104 0.00346 1.11 × 104 8.00 × 104 0.00395 1.27 × 104 9.00 × 104 0.00445 1.43 × 104 1.00 × 105 0.00494 1.59 × 104 2.00 × 105 0.00988 3.18 × 104 3.00 × 105 0.0148 4.78 × 104 4.00 × 105 0.0198 6.37 × 104 5.00 × 105 0.0247 7.96 × 104 6.00 × 105 0.0296 9.55 × 104 7.00 × 105 0.0346 1.11 × 105 8.00 × 105 0.0395 1.27 × 105 9.00 × 105 0.0445 1.43 × 105 1.00 × 106 0.0494 1.59 × 105 1.87 × 106 0.0922 2.97 × 105
 Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 45.0 1.72 × 10-5 19.9 50.0 1.91 × 10-5 22.1 60.0 2.29 × 10-5 26.5 70.0 2.67 × 10-5 31.0 80.0 3.05 × 10-5 35.4 90.0 3.43 × 10-5 39.8 100 3.81 × 10-5 44.2 200 7.62 × 10-5 88.4 300 1.14 × 10-4 133 400 1.52 × 10-4 177 500 1.91 × 10-4 221 600 2.29 × 10-4 265 700 2.67 × 10-4 310 800 3.05 × 10-4 354 900 3.43 × 10-4 398 1000 3.81 × 10-4 442 2000 7.62 × 10-4 884 3000 0.00114 1330 4000 0.00152 1770 5000 0.00191 2210 6000 0.00229 2650 7000 0.00267 3100 8000 0.00305 3540 9000 0.00343 3980 1.00 × 104 0.00381 4420 2.00 × 104 0.00762 8840 3.00 × 104 0.0114 1.33 × 104 4.00 × 104 0.0152 1.77 × 104 5.00 × 104 0.0191 2.21 × 104 6.00 × 104 0.0229 2.65 × 104 7.00 × 104 0.0267 3.10 × 104 8.00 × 104 0.0305 3.54 × 104 9.00 × 104 0.0343 3.98 × 104 1.00 × 105 0.0381 4.42 × 104 2.00 × 105 0.0762 8.84 × 104 3.00 × 105 0.114 1.33 × 105 4.00 × 105 0.152 1.77 × 105 5.00 × 105 0.191 2.21 × 105 6.00 × 105 0.229 2.65 × 105 6.72 × 105 0.256 2.97 × 105
 Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 45.0 2.74 × 10-4 79.6 50.0 3.05 × 10-4 88.4 60.0 3.66 × 10-4 106 70.0 4.27 × 10-4 124 80.0 4.88 × 10-4 142 90.0 5.49 × 10-4 159 100 6.10 × 10-4 177 200 0.00122 354 300 0.00183 531 400 0.00244 708 500 0.00305 884 600 0.00366 1060 700 0.00427 1240 800 0.00488 1420 900 0.00549 1590 1000 0.00610 1770 2000 0.0122 3540 3000 0.0183 5310 4000 0.0244 7080 5000 0.0305 8840 6000 0.0366 1.06 × 104 7000 0.0427 1.24 × 104 8000 0.0488 1.42 × 104 9000 0.0549 1.59 × 104 1.00 × 104 0.0610 1.77 × 104 2.00 × 104 0.122 3.54 × 104 3.00 × 104 0.183 5.31 × 104 4.00 × 104 0.244 7.08 × 104 5.00 × 104 0.305 8.84 × 104 6.00 × 104 0.366 1.06 × 105 7.00 × 104 0.427 1.24 × 105 8.00 × 104 0.488 1.42 × 105 9.00 × 104 0.549 1.59 × 105 1.00 × 105 0.610 1.77 × 105 1.68 × 105 1.02 2.97 × 105
 Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 45.0 0.00139 179 50.0 0.00154 199 60.0 0.00185 239 70.0 0.00216 279 80.0 0.00247 318 90.0 0.00278 358 100 0.00309 398 200 0.00618 796 300 0.00926 1190 400 0.0124 1590 500 0.0154 1990 600 0.0185 2390 700 0.0216 2790 800 0.0247 3180 900 0.0278 3580 1000 0.0309 3980 2000 0.0618 7960 3000 0.0926 1.19 × 104 4000 0.124 1.59 × 104 5000 0.154 1.99 × 104 6000 0.185 2.39 × 104 7000 0.216 2.79 × 104 8000 0.247 3.18 × 104 9000 0.278 3.58 × 104 1.00 × 104 0.309 3.98 × 104 2.00 × 104 0.618 7.96 × 104 3.00 × 104 0.926 1.19 × 105 4.00 × 104 1.24 1.59 × 105 5.00 × 104 1.54 1.99 × 105 6.00 × 104 1.85 2.39 × 105 7.00 × 104 2.16 2.79 × 105 7.46 × 104 2.30 2.97 × 105
 Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 45.0 0.00439 318 50.0 0.00488 354 60.0 0.00586 425 70.0 0.00683 495 80.0 0.00781 566 90.0 0.00878 637 100 0.00976 708 200 0.0195 1420 300 0.0293 2120 400 0.0390 2830 500 0.0488 3540 600 0.0586 4250 700 0.0683 4950 800 0.0781 5660 900 0.0878 6370 1000 0.0976 7080 2000 0.195 1.42 × 104 3000 0.293 2.12 × 104 4000 0.390 2.83 × 104 5000 0.488 3.54 × 104 6000 0.586 4.25 × 104 7000 0.683 4.95 × 104 8000 0.781 5.66 × 104 9000 0.878 6.37 × 104 1.00 × 104 0.976 7.08 × 104 2.00 × 104 1.95 1.42 × 105 3.00 × 104 2.93 2.12 × 105 4.00 × 104 3.90 2.83 × 105 4.20 × 104 4.10 2.97 × 105
 Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 45.0 0.0107 497 50.0 0.0119 553 60.0 0.0143 663 70.0 0.0167 774 80.0 0.0191 884 90.0 0.0214 995 100 0.0238 1110 200 0.0477 2210 300 0.0715 3320 400 0.0953 4420 500 0.119 5530 600 0.143 6630 700 0.167 7740 800 0.191 8840 900 0.214 9950 1000 0.238 1.11 × 104 2000 0.477 2.21 × 104 3000 0.715 3.32 × 104 4000 0.953 4.42 × 104 5000 1.19 5.53 × 104 6000 1.43 6.63 × 104 7000 1.67 7.74 × 104 8000 1.91 8.84 × 104 9000 2.14 9.95 × 104 1.00 × 104 2.38 1.11 × 105 2.00 × 104 4.77 2.21 × 105 2.69 × 104 6.40 2.97 × 105
 Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 45.0 0.0222 716 50.0 0.0247 796 60.0 0.0296 955 70.0 0.0346 1110 80.0 0.0395 1270 90.0 0.0445 1430 100 0.0494 1590 200 0.0988 3180 300 0.148 4780 400 0.198 6370 500 0.247 7960 600 0.296 9550 700 0.346 1.11 × 104 800 0.395 1.27 × 104 900 0.445 1.43 × 104 1000 0.494 1.59 × 104 2000 0.988 3.18 × 104 3000 1.48 4.78 × 104 4000 1.98 6.37 × 104 5000 2.47 7.96 × 104 6000 2.96 9.55 × 104 7000 3.46 1.11 × 105 8000 3.95 1.27 × 105 9000 4.45 1.43 × 105 1.00 × 104 4.94 1.59 × 105 1.87 × 104 9.22 2.97 × 105
 Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 45.0 0.0703 1270 50.0 0.0781 1420 60.0 0.0937 1700 70.0 0.109 1980 80.0 0.125 2260 90.0 0.141 2550 100 0.156 2830 200 0.312 5660 300 0.468 8490 400 0.625 1.13 × 104 500 0.781 1.42 × 104 600 0.937 1.70 × 104 700 1.09 1.98 × 104 800 1.25 2.26 × 104 900 1.41 2.55 × 104 1000 1.56 2.83 × 104 2000 3.12 5.66 × 104 3000 4.68 8.49 × 104 4000 6.25 1.13 × 105 5000 7.81 1.42 × 105 6000 9.37 1.70 × 105 7000 10.9 1.98 × 105 8000 12.5 2.26 × 105 9000 14.1 2.55 × 105 1.00 × 104 15.6 2.83 × 105 1.05 × 104 16.4 2.97 × 105
 Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 45.0 0.172 1990 50.0 0.191 2210 60.0 0.229 2650 70.0 0.267 3100 80.0 0.305 3540 90.0 0.343 3980 100 0.381 4420 200 0.762 8840 300 1.14 1.33 × 104 400 1.52 1.77 × 104 500 1.91 2.21 × 104 600 2.29 2.65 × 104 700 2.67 3.10 × 104 800 3.05 3.54 × 104 900 3.43 3.98 × 104 1000 3.81 4.42 × 104 2000 7.62 8.84 × 104 3000 11.4 1.33 × 105 4000 15.2 1.77 × 105 4230 16.1 1.87 × 105
 Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 45.0 0.356 2870 50.0 0.395 3180 60.0 0.474 3820 70.0 0.553 4460 80.0 0.632 5090 90.0 0.711 5730 100 0.790 6370 200 1.58 1.27 × 104 300 2.37 1.91 × 104 400 3.16 2.55 × 104 500 3.95 3.18 × 104 600 4.74 3.82 × 104 700 5.53 4.46 × 104 800 6.32 5.09 × 104 900 7.11 5.73 × 104 1000 7.90 6.37 × 104 2000 15.8 1.27 × 105 2040 16.1 1.30 × 105
 Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 45.0 0.659 3900 50.0 0.732 4330 60.0 0.879 5200 70.0 1.03 6070 80.0 1.17 6930 90.0 1.32 7800 100 1.46 8670 200 2.93 1.73 × 104 300 4.39 2.60 × 104 400 5.86 3.47 × 104 500 7.32 4.33 × 104 600 8.79 5.20 × 104 700 10.3 6.07 × 104 800 11.7 6.93 × 104 900 13.2 7.80 × 104 1000 14.6 8.67 × 104 1100 16.1 9.55 × 104
 Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 45.0 1.12 5090 50.0 1.25 5660 60.0 1.50 6790 70.0 1.75 7920 80.0 2.00 9060 90.0 2.25 1.02 × 104 100 2.50 1.13 × 104 200 5.00 2.26 × 104 300 7.49 3.40 × 104 400 9.99 4.53 × 104 500 12.5 5.66 × 104 600 15.0 6.79 × 104 646 16.1 7.31 × 104
 Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 45.0 1.80 6450 50.0 2.00 7160 60.0 2.40 8600 70.0 2.80 1.00 × 104 80.0 3.20 1.15 × 104 90.0 3.60 1.29 × 104 100 4.00 1.43 × 104 200 8.00 2.87 × 104 300 12.0 4.30 × 104 400 16.0 5.73 × 104 403 16.1 5.77 × 104
 Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 45.0 2.74 7960 50.0 3.05 8840 60.0 3.66 1.06 × 104 70.0 4.27 1.24 × 104 80.0 4.88 1.42 × 104 90.0 5.49 1.59 × 104 100 6.10 1.77 × 104 200 12.2 3.54 × 104 264 16.1 4.68 × 104
 Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 45.0 6.70 1.24 × 104 50.0 7.45 1.38 × 104 60.0 8.93 1.66 × 104 70.0 10.4 1.93 × 104 80.0 11.9 2.21 × 104 90.0 13.4 2.49 × 104 100 14.9 2.76 × 104 108 16.1 2.99 × 104
 Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft) L = 150 ft (lbf/ft) (in) (psi) 45.0 13.9 1.79 × 104 50.0 15.4 1.99 × 104 52.2 16.1 2.08 × 104
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