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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W10 × 22
Wide Flange Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in three equal spans, we compute the displacement at the middle of the first and the third spans, and the maximum normal stress occuring at the second and third supports of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 118 in4) for the W10 × 22 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 × 22 (Wide Flange 10 inch tall × 22 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 22.0 5.83 × 10-6 10.2 30.0 7.94 × 10-6 14.0 40.0 1.06 × 10-5 18.6 50.0 1.32 × 10-5 23.3 60.0 1.59 × 10-5 27.9 70.0 1.85 × 10-5 32.6 80.0 2.12 × 10-5 37.2 90.0 2.38 × 10-5 41.9 100 2.65 × 10-5 46.5 200 5.30 × 10-5 93.1 300 7.94 × 10-5 140 400 1.06 × 10-4 186 500 1.32 × 10-4 233 600 1.59 × 10-4 279 700 1.85 × 10-4 326 800 2.12 × 10-4 372 900 2.38 × 10-4 419 1000 2.65 × 10-4 465 2000 5.30 × 10-4 931 3000 7.94 × 10-4 1400 4000 0.00106 1860 5000 0.00132 2330 6000 0.00159 2790 7000 0.00185 3260 8000 0.00212 3720 9000 0.00238 4190 1.00 × 104 0.00265 4650 2.00 × 104 0.00530 9310 3.00 × 104 0.00794 1.40 × 104 4.00 × 104 0.0106 1.86 × 104 5.00 × 104 0.0132 2.33 × 104 6.00 × 104 0.0159 2.79 × 104 7.00 × 104 0.0185 3.26 × 104 8.00 × 104 0.0212 3.72 × 104 9.00 × 104 0.0238 4.19 × 104 1.00 × 105 0.0265 4.65 × 104 2.00 × 105 0.0530 9.31 × 104 3.00 × 105 0.0794 1.40 × 105 4.00 × 105 0.106 1.86 × 105 5.00 × 105 0.132 2.33 × 105 6.00 × 105 0.159 2.79 × 105 6.38 × 105 0.169 2.97 × 105
 Steel I Beam: W10 × 22 (Wide Flange 10 inch tall × 22 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 22.0 4.50 × 10-5 28.4 30.0 6.13 × 10-5 38.8 40.0 8.17 × 10-5 51.7 50.0 1.02 × 10-4 64.6 60.0 1.23 × 10-4 77.6 70.0 1.43 × 10-4 90.5 80.0 1.63 × 10-4 103 90.0 1.84 × 10-4 116 100 2.04 × 10-4 129 200 4.09 × 10-4 259 300 6.13 × 10-4 388 400 8.17 × 10-4 517 500 0.00102 646 600 0.00123 776 700 0.00143 905 800 0.00163 1030 900 0.00184 1160 1000 0.00204 1290 2000 0.00409 2590 3000 0.00613 3880 4000 0.00817 5170 5000 0.0102 6460 6000 0.0123 7760 7000 0.0143 9050 8000 0.0163 1.03 × 104 9000 0.0184 1.16 × 104 1.00 × 104 0.0204 1.29 × 104 2.00 × 104 0.0409 2.59 × 104 3.00 × 104 0.0613 3.88 × 104 4.00 × 104 0.0817 5.17 × 104 5.00 × 104 0.102 6.46 × 104 6.00 × 104 0.123 7.76 × 104 7.00 × 104 0.143 9.05 × 104 8.00 × 104 0.163 1.03 × 105 9.00 × 104 0.184 1.16 × 105 1.00 × 105 0.204 1.29 × 105 2.00 × 105 0.409 2.59 × 105 2.30 × 105 0.469 2.97 × 105
 Steel I Beam: W10 × 22 (Wide Flange 10 inch tall × 22 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 22.0 7.19 × 10-4 114 30.0 9.81 × 10-4 155 40.0 0.00131 207 50.0 0.00163 259 60.0 0.00196 310 70.0 0.00229 362 80.0 0.00262 414 90.0 0.00294 465 100 0.00327 517 200 0.00654 1030 300 0.00981 1550 400 0.0131 2070 500 0.0163 2590 600 0.0196 3100 700 0.0229 3620 800 0.0262 4140 900 0.0294 4650 1000 0.0327 5170 2000 0.0654 1.03 × 104 3000 0.0981 1.55 × 104 4000 0.131 2.07 × 104 5000 0.163 2.59 × 104 6000 0.196 3.10 × 104 7000 0.229 3.62 × 104 8000 0.262 4.14 × 104 9000 0.294 4.65 × 104 1.00 × 104 0.327 5.17 × 104 2.00 × 104 0.654 1.03 × 105 3.00 × 104 0.981 1.55 × 105 4.00 × 104 1.31 2.07 × 105 5.00 × 104 1.63 2.59 × 105 5.74 × 104 1.88 2.97 × 105
 Steel I Beam: W10 × 22 (Wide Flange 10 inch tall × 22 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 22.0 0.00364 256 30.0 0.00497 349 40.0 0.00662 465 50.0 0.00828 582 60.0 0.00993 698 70.0 0.0116 814 80.0 0.0132 931 90.0 0.0149 1050 100 0.0166 1160 200 0.0331 2330 300 0.0497 3490 400 0.0662 4650 500 0.0828 5820 600 0.0993 6980 700 0.116 8140 800 0.132 9310 900 0.149 1.05 × 104 1000 0.166 1.16 × 104 2000 0.331 2.33 × 104 3000 0.497 3.49 × 104 4000 0.662 4.65 × 104 5000 0.828 5.82 × 104 6000 0.993 6.98 × 104 7000 1.16 8.14 × 104 8000 1.32 9.31 × 104 9000 1.49 1.05 × 105 1.00 × 104 1.66 1.16 × 105 2.00 × 104 3.31 2.33 × 105 2.55 × 104 4.23 2.97 × 105
 Steel I Beam: W10 × 22 (Wide Flange 10 inch tall × 22 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 22.0 0.0115 455 30.0 0.0157 621 40.0 0.0209 827 50.0 0.0262 1030 60.0 0.0314 1240 70.0 0.0366 1450 80.0 0.0418 1650 90.0 0.0471 1860 100 0.0523 2070 200 0.105 4140 300 0.157 6210 400 0.209 8270 500 0.262 1.03 × 104 600 0.314 1.24 × 104 700 0.366 1.45 × 104 800 0.418 1.65 × 104 900 0.471 1.86 × 104 1000 0.523 2.07 × 104 2000 1.05 4.14 × 104 3000 1.57 6.21 × 104 4000 2.09 8.27 × 104 5000 2.62 1.03 × 105 6000 3.14 1.24 × 105 7000 3.66 1.45 × 105 8000 4.18 1.65 × 105 9000 4.71 1.86 × 105 1.00 × 104 5.23 2.07 × 105 1.44 × 104 7.51 2.97 × 105
 Steel I Beam: W10 × 22 (Wide Flange 10 inch tall × 22 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 22.0 0.0281 711 30.0 0.0383 970 40.0 0.0511 1290 50.0 0.0639 1620 60.0 0.0766 1940 70.0 0.0894 2260 80.0 0.102 2590 90.0 0.115 2910 100 0.128 3230 200 0.255 6460 300 0.383 9700 400 0.511 1.29 × 104 500 0.639 1.62 × 104 600 0.766 1.94 × 104 700 0.894 2.26 × 104 800 1.02 2.59 × 104 900 1.15 2.91 × 104 1000 1.28 3.23 × 104 2000 2.55 6.46 × 104 3000 3.83 9.70 × 104 4000 5.11 1.29 × 105 5000 6.39 1.62 × 105 6000 7.66 1.94 × 105 7000 8.94 2.26 × 105 7960 10.2 2.57 × 105
 Steel I Beam: W10 × 22 (Wide Flange 10 inch tall × 22 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 22.0 0.0583 1020 30.0 0.0794 1400 40.0 0.106 1860 50.0 0.132 2330 60.0 0.159 2790 70.0 0.185 3260 80.0 0.212 3720 90.0 0.238 4190 100 0.265 4650 200 0.530 9310 300 0.794 1.40 × 104 400 1.06 1.86 × 104 500 1.32 2.33 × 104 600 1.59 2.79 × 104 700 1.85 3.26 × 104 800 2.12 3.72 × 104 900 2.38 4.19 × 104 1000 2.65 4.65 × 104 2000 5.30 9.31 × 104 3000 7.94 1.40 × 105 3840 10.2 1.79 × 105
 Steel I Beam: W10 × 22 (Wide Flange 10 inch tall × 22 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 22.0 0.184 1820 30.0 0.251 2480 40.0 0.335 3310 50.0 0.418 4140 60.0 0.502 4960 70.0 0.586 5790 80.0 0.670 6620 90.0 0.753 7450 100 0.837 8270 200 1.67 1.65 × 104 300 2.51 2.48 × 104 400 3.35 3.31 × 104 500 4.18 4.14 × 104 600 5.02 4.96 × 104 700 5.86 5.79 × 104 800 6.70 6.62 × 104 900 7.53 7.45 × 104 1000 8.37 8.27 × 104 1220 10.2 1.01 × 105
 Steel I Beam: W10 × 22 (Wide Flange 10 inch tall × 22 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 22.0 0.450 2840 30.0 0.613 3880 40.0 0.817 5170 50.0 1.02 6460 60.0 1.23 7760 70.0 1.43 9050 80.0 1.63 1.03 × 104 90.0 1.84 1.16 × 104 100 2.04 1.29 × 104 200 4.09 2.59 × 104 300 6.13 3.88 × 104 400 8.17 5.17 × 104 498 10.2 6.43 × 104
 Steel I Beam: W10 × 22 (Wide Flange 10 inch tall × 22 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 22.0 0.932 4100 30.0 1.27 5580 40.0 1.69 7450 50.0 2.12 9310 60.0 2.54 1.12 × 104 70.0 2.97 1.30 × 104 80.0 3.39 1.49 × 104 90.0 3.81 1.68 × 104 100 4.24 1.86 × 104 200 8.47 3.72 × 104 240 10.2 4.47 × 104
 Steel I Beam: W10 × 22 (Wide Flange 10 inch tall × 22 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 22.0 1.73 5570 30.0 2.35 7600 40.0 3.14 1.01 × 104 50.0 3.92 1.27 × 104 60.0 4.71 1.52 × 104 70.0 5.49 1.77 × 104 80.0 6.28 2.03 × 104 90.0 7.06 2.28 × 104 100 7.85 2.53 × 104 130 10.2 3.28 × 104
 Steel I Beam: W10 × 22 (Wide Flange 10 inch tall × 22 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 22.0 2.95 7280 30.0 4.02 9930 40.0 5.36 1.32 × 104 50.0 6.70 1.65 × 104 60.0 8.03 1.99 × 104 70.0 9.37 2.32 × 104 75.9 10.2 2.51 × 104
 Steel I Beam: W10 × 22 (Wide Flange 10 inch tall × 22 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 22.0 4.72 9220 30.0 6.44 1.26 × 104 40.0 8.58 1.68 × 104 47.4 10.2 1.99 × 104
 Steel I Beam: W10 × 22 (Wide Flange 10 inch tall × 22 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 22.0 7.19 1.14 × 104 30.0 9.81 1.55 × 104 31.1 10.2 1.61 × 104