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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W10 × 19
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 = 96.3 in4) for the W10 × 19 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: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 19.0 5.71 × 10-6 11.7 20.0 6.01 × 10-6 12.3 30.0 9.02 × 10-6 18.4 40.0 1.20 × 10-5 24.6 50.0 1.50 × 10-5 30.7 60.0 1.80 × 10-5 36.9 70.0 2.10 × 10-5 43.0 80.0 2.41 × 10-5 49.2 90.0 2.71 × 10-5 55.3 100 3.01 × 10-5 61.5 200 6.01 × 10-5 123 300 9.02 × 10-5 184 400 1.20 × 10-4 246 500 1.50 × 10-4 307 600 1.80 × 10-4 369 700 2.10 × 10-4 430 800 2.41 × 10-4 492 900 2.71 × 10-4 553 1000 3.01 × 10-4 615 2000 6.01 × 10-4 1230 3000 9.02 × 10-4 1840 4000 0.00120 2460 5000 0.00150 3070 6000 0.00180 3690 7000 0.00210 4300 8000 0.00241 4920 9000 0.00271 5530 1.00 × 104 0.00301 6150 2.00 × 104 0.00601 1.23 × 104 3.00 × 104 0.00902 1.84 × 104 4.00 × 104 0.0120 2.46 × 104 5.00 × 104 0.0150 3.07 × 104 6.00 × 104 0.0180 3.69 × 104 7.00 × 104 0.0210 4.30 × 104 8.00 × 104 0.0241 4.92 × 104 9.00 × 104 0.0271 5.53 × 104 1.00 × 105 0.0301 6.15 × 104 2.00 × 105 0.0601 1.23 × 105 3.00 × 105 0.0902 1.84 × 105 4.00 × 105 0.120 2.46 × 105 4.83 × 105 0.145 2.97 × 105
 Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 19.0 4.41 × 10-5 32.5 20.0 4.64 × 10-5 34.2 30.0 6.96 × 10-5 51.2 40.0 9.28 × 10-5 68.3 50.0 1.16 × 10-4 85.4 60.0 1.39 × 10-4 102 70.0 1.62 × 10-4 120 80.0 1.86 × 10-4 137 90.0 2.09 × 10-4 154 100 2.32 × 10-4 171 200 4.64 × 10-4 342 300 6.96 × 10-4 512 400 9.28 × 10-4 683 500 0.00116 854 600 0.00139 1020 700 0.00162 1200 800 0.00186 1370 900 0.00209 1540 1000 0.00232 1710 2000 0.00464 3420 3000 0.00696 5120 4000 0.00928 6830 5000 0.0116 8540 6000 0.0139 1.02 × 104 7000 0.0162 1.20 × 104 8000 0.0186 1.37 × 104 9000 0.0209 1.54 × 104 1.00 × 104 0.0232 1.71 × 104 2.00 × 104 0.0464 3.42 × 104 3.00 × 104 0.0696 5.12 × 104 4.00 × 104 0.0928 6.83 × 104 5.00 × 104 0.116 8.54 × 104 6.00 × 104 0.139 1.02 × 105 7.00 × 104 0.162 1.20 × 105 8.00 × 104 0.186 1.37 × 105 9.00 × 104 0.209 1.54 × 105 1.00 × 105 0.232 1.71 × 105 1.74 × 105 0.403 2.97 × 105
 Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 19.0 7.05 × 10-4 130 20.0 7.42 × 10-4 137 30.0 0.00111 205 40.0 0.00148 273 50.0 0.00186 342 60.0 0.00223 410 70.0 0.00260 478 80.0 0.00297 547 90.0 0.00334 615 100 0.00371 683 200 0.00742 1370 300 0.0111 2050 400 0.0148 2730 500 0.0186 3420 600 0.0223 4100 700 0.0260 4780 800 0.0297 5470 900 0.0334 6150 1000 0.0371 6830 2000 0.0742 1.37 × 104 3000 0.111 2.05 × 104 4000 0.148 2.73 × 104 5000 0.186 3.42 × 104 6000 0.223 4.10 × 104 7000 0.260 4.78 × 104 8000 0.297 5.47 × 104 9000 0.334 6.15 × 104 1.00 × 104 0.371 6.83 × 104 2.00 × 104 0.742 1.37 × 105 3.00 × 104 1.11 2.05 × 105 4.00 × 104 1.48 2.73 × 105 4.35 × 104 1.61 2.97 × 105
 Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 19.0 0.00357 292 20.0 0.00376 307 30.0 0.00564 461 40.0 0.00752 615 50.0 0.00939 769 60.0 0.0113 922 70.0 0.0132 1080 80.0 0.0150 1230 90.0 0.0169 1380 100 0.0188 1540 200 0.0376 3070 300 0.0564 4610 400 0.0752 6150 500 0.0939 7690 600 0.113 9220 700 0.132 1.08 × 104 800 0.150 1.23 × 104 900 0.169 1.38 × 104 1000 0.188 1.54 × 104 2000 0.376 3.07 × 104 3000 0.564 4.61 × 104 4000 0.752 6.15 × 104 5000 0.939 7.69 × 104 6000 1.13 9.22 × 104 7000 1.32 1.08 × 105 8000 1.50 1.23 × 105 9000 1.69 1.38 × 105 1.00 × 104 1.88 1.54 × 105 1.93 × 104 3.63 2.97 × 105
 Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 19.0 0.0113 519 20.0 0.0119 547 30.0 0.0178 820 40.0 0.0238 1090 50.0 0.0297 1370 60.0 0.0356 1640 70.0 0.0416 1910 80.0 0.0475 2190 90.0 0.0534 2460 100 0.0594 2730 200 0.119 5470 300 0.178 8200 400 0.238 1.09 × 104 500 0.297 1.37 × 104 600 0.356 1.64 × 104 700 0.416 1.91 × 104 800 0.475 2.19 × 104 900 0.534 2.46 × 104 1000 0.594 2.73 × 104 2000 1.19 5.47 × 104 3000 1.78 8.20 × 104 4000 2.38 1.09 × 105 5000 2.97 1.37 × 105 6000 3.56 1.64 × 105 7000 4.16 1.91 × 105 8000 4.75 2.19 × 105 9000 5.34 2.46 × 105 1.00 × 104 5.94 2.73 × 105 1.09 × 104 6.45 2.97 × 105
 Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 19.0 0.0275 811 20.0 0.0290 854 30.0 0.0435 1280 40.0 0.0580 1710 50.0 0.0725 2140 60.0 0.0870 2560 70.0 0.101 2990 80.0 0.116 3420 90.0 0.130 3840 100 0.145 4270 200 0.290 8540 300 0.435 1.28 × 104 400 0.580 1.71 × 104 500 0.725 2.14 × 104 600 0.870 2.56 × 104 700 1.01 2.99 × 104 800 1.16 3.42 × 104 900 1.30 3.84 × 104 1000 1.45 4.27 × 104 2000 2.90 8.54 × 104 3000 4.35 1.28 × 105 4000 5.80 1.71 × 105 5000 7.25 2.14 × 105 6000 8.70 2.56 × 105 6960 10.1 2.97 × 105
 Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 19.0 0.0571 1170 20.0 0.0601 1230 30.0 0.0902 1840 40.0 0.120 2460 50.0 0.150 3070 60.0 0.180 3690 70.0 0.210 4300 80.0 0.241 4920 90.0 0.271 5530 100 0.301 6150 200 0.601 1.23 × 104 300 0.902 1.84 × 104 400 1.20 2.46 × 104 500 1.50 3.07 × 104 600 1.80 3.69 × 104 700 2.10 4.30 × 104 800 2.41 4.92 × 104 900 2.71 5.53 × 104 1000 3.01 6.15 × 104 2000 6.01 1.23 × 105 3000 9.02 1.84 × 105 3410 10.2 2.09 × 105
 Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 19.0 0.181 2080 20.0 0.190 2190 30.0 0.285 3280 40.0 0.380 4370 50.0 0.475 5470 60.0 0.570 6560 70.0 0.665 7650 80.0 0.760 8750 90.0 0.855 9840 100 0.950 1.09 × 104 200 1.90 2.19 × 104 300 2.85 3.28 × 104 400 3.80 4.37 × 104 500 4.75 5.47 × 104 600 5.70 6.56 × 104 700 6.65 7.65 × 104 800 7.60 8.75 × 104 900 8.55 9.84 × 104 1000 9.50 1.09 × 105 1080 10.2 1.18 × 105
 Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 19.0 0.441 3250 20.0 0.464 3420 30.0 0.696 5120 40.0 0.928 6830 50.0 1.16 8540 60.0 1.39 1.02 × 104 70.0 1.62 1.20 × 104 80.0 1.86 1.37 × 104 90.0 2.09 1.54 × 104 100 2.32 1.71 × 104 200 4.64 3.42 × 104 300 6.96 5.12 × 104 400 9.28 6.83 × 104 441 10.2 7.54 × 104
 Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 19.0 0.914 4670 20.0 0.962 4920 30.0 1.44 7380 40.0 1.92 9840 50.0 2.41 1.23 × 104 60.0 2.89 1.48 × 104 70.0 3.37 1.72 × 104 80.0 3.85 1.97 × 104 90.0 4.33 2.21 × 104 100 4.81 2.46 × 104 200 9.62 4.92 × 104 213 10.2 5.24 × 104
 Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 19.0 1.69 6360 20.0 1.78 6700 30.0 2.67 1.00 × 104 40.0 3.56 1.34 × 104 50.0 4.46 1.67 × 104 60.0 5.35 2.01 × 104 70.0 6.24 2.34 × 104 80.0 7.13 2.68 × 104 90.0 8.02 3.01 × 104 100 8.91 3.35 × 104 115 10.2 3.85 × 104
 Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 19.0 2.89 8310 20.0 3.04 8750 30.0 4.56 1.31 × 104 40.0 6.08 1.75 × 104 50.0 7.60 2.19 × 104 60.0 9.12 2.62 × 104 67.4 10.2 2.95 × 104
 Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 19.0 4.63 1.05 × 104 20.0 4.87 1.11 × 104 30.0 7.31 1.66 × 104 40.0 9.74 2.21 × 104 42.1 10.2 2.33 × 104
 Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 19.0 7.05 1.30 × 104 20.0 7.42 1.37 × 104 27.6 10.2 1.89 × 104