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Wide Flange Steel I Beam: W10 × 22
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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 stress_max 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 Yield 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.
L = 3 ft
L = 5 ft
L = 10 ft
L = 15 ft
L = 20 ft
L = 25 ft
L = 30 ft
L = 40 ft
L = 50 ft
L = 60 ft
L = 70 ft
L = 80 ft
L = 90 ft
L = 100 ft
   
Steel I Beam: W10 × 22 (Wide Flange 10 inch tall × 22 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (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
P (lbf/ft) w_max (in) stress_max (psi)
22.0 7.19 1.14 × 104
30.0 9.81 1.55 × 104
31.1 10.2 1.61 × 104
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