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Wide Flange Steel I Beam: W10 × 22
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress stress_max 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 = 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 5.40 × 10-6 11.0
30.0 7.36 × 10-6 15.0
40.0 9.81 × 10-6 19.9
50.0 1.23 × 10-5 24.9
60.0 1.47 × 10-5 29.9
70.0 1.72 × 10-5 34.9
80.0 1.96 × 10-5 39.9
90.0 2.21 × 10-5 44.9
100 2.45 × 10-5 49.8
200 4.91 × 10-5 99.7
300 7.36 × 10-5 150
400 9.81 × 10-5 199
500 1.23 × 10-4 249
600 1.47 × 10-4 299
700 1.72 × 10-4 349
800 1.96 × 10-4 399
900 2.21 × 10-4 449
1000 2.45 × 10-4 498
2000 4.91 × 10-4 997
3000 7.36 × 10-4 1500
4000 9.81 × 10-4 1990
5000 0.00123 2490
6000 0.00147 2990
7000 0.00172 3490
8000 0.00196 3990
9000 0.00221 4490
1.00 × 104 0.00245 4980
2.00 × 104 0.00491 9970
3.00 × 104 0.00736 1.50 × 104
4.00 × 104 0.00981 1.99 × 104
5.00 × 104 0.0123 2.49 × 104
6.00 × 104 0.0147 2.99 × 104
7.00 × 104 0.0172 3.49 × 104
8.00 × 104 0.0196 3.99 × 104
9.00 × 104 0.0221 4.49 × 104
1.00 × 105 0.0245 4.98 × 104
2.00 × 105 0.0491 9.97 × 104
3.00 × 105 0.0736 1.50 × 105
4.00 × 105 0.0981 1.99 × 105
5.00 × 105 0.123 2.49 × 105
5.96 × 105 0.146 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 4.16 × 10-5 30.5
30.0 5.68 × 10-5 41.5
40.0 7.57 × 10-5 55.4
50.0 9.47 × 10-5 69.2
60.0 1.14 × 10-4 83.1
70.0 1.33 × 10-4 96.9
80.0 1.51 × 10-4 111
90.0 1.70 × 10-4 125
100 1.89 × 10-4 138
200 3.79 × 10-4 277
300 5.68 × 10-4 415
400 7.57 × 10-4 554
500 9.47 × 10-4 692
600 0.00114 831
700 0.00133 969
800 0.00151 1110
900 0.00170 1250
1000 0.00189 1380
2000 0.00379 2770
3000 0.00568 4150
4000 0.00757 5540
5000 0.00947 6920
6000 0.0114 8310
7000 0.0133 9690
8000 0.0151 1.11 × 104
9000 0.0170 1.25 × 104
1.00 × 104 0.0189 1.38 × 104
2.00 × 104 0.0379 2.77 × 104
3.00 × 104 0.0568 4.15 × 104
4.00 × 104 0.0757 5.54 × 104
5.00 × 104 0.0947 6.92 × 104
6.00 × 104 0.114 8.31 × 104
7.00 × 104 0.133 9.69 × 104
8.00 × 104 0.151 1.11 × 105
9.00 × 104 0.170 1.25 × 105
1.00 × 105 0.189 1.38 × 105
2.00 × 105 0.379 2.77 × 105
2.15 × 105 0.406 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 6.66 × 10-4 122
30.0 9.09 × 10-4 166
40.0 0.00121 222
50.0 0.00151 277
60.0 0.00182 332
70.0 0.00212 388
80.0 0.00242 443
90.0 0.00273 498
100 0.00303 554
200 0.00606 1110
300 0.00909 1660
400 0.0121 2220
500 0.0151 2770
600 0.0182 3320
700 0.0212 3880
800 0.0242 4430
900 0.0273 4980
1000 0.0303 5540
2000 0.0606 1.11 × 104
3000 0.0909 1.66 × 104
4000 0.121 2.22 × 104
5000 0.151 2.77 × 104
6000 0.182 3.32 × 104
7000 0.212 3.88 × 104
8000 0.242 4.43 × 104
9000 0.273 4.98 × 104
1.00 × 104 0.303 5.54 × 104
2.00 × 104 0.606 1.11 × 105
3.00 × 104 0.909 1.66 × 105
4.00 × 104 1.21 2.22 × 105
5.00 × 104 1.51 2.77 × 105
5.36 × 104 1.62 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 0.00337 274
30.0 0.00460 374
40.0 0.00613 498
50.0 0.00767 623
60.0 0.00920 748
70.0 0.0107 872
80.0 0.0123 997
90.0 0.0138 1120
100 0.0153 1250
200 0.0307 2490
300 0.0460 3740
400 0.0613 4980
500 0.0767 6230
600 0.0920 7480
700 0.107 8720
800 0.123 9970
900 0.138 1.12 × 104
1000 0.153 1.25 × 104
2000 0.307 2.49 × 104
3000 0.460 3.74 × 104
4000 0.613 4.98 × 104
5000 0.767 6.23 × 104
6000 0.920 7.48 × 104
7000 1.07 8.72 × 104
8000 1.23 9.97 × 104
9000 1.38 1.12 × 105
1.00 × 104 1.53 1.25 × 105
2.00 × 104 3.07 2.49 × 105
2.38 × 104 3.66 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 0.0107 487
30.0 0.0145 665
40.0 0.0194 886
50.0 0.0242 1110
60.0 0.0291 1330
70.0 0.0339 1550
80.0 0.0388 1770
90.0 0.0436 1990
100 0.0485 2220
200 0.0969 4430
300 0.145 6650
400 0.194 8860
500 0.242 1.11 × 104
600 0.291 1.33 × 104
700 0.339 1.55 × 104
800 0.388 1.77 × 104
900 0.436 1.99 × 104
1000 0.485 2.22 × 104
2000 0.969 4.43 × 104
3000 1.45 6.65 × 104
4000 1.94 8.86 × 104
5000 2.42 1.11 × 105
6000 2.91 1.33 × 105
7000 3.39 1.55 × 105
8000 3.88 1.77 × 105
9000 4.36 1.99 × 105
1.00 × 104 4.85 2.22 × 105
1.34 × 104 6.50 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 0.0260 762
30.0 0.0355 1040
40.0 0.0473 1380
50.0 0.0592 1730
60.0 0.0710 2080
70.0 0.0828 2420
80.0 0.0947 2770
90.0 0.106 3120
100 0.118 3460
200 0.237 6920
300 0.355 1.04 × 104
400 0.473 1.38 × 104
500 0.592 1.73 × 104
600 0.710 2.08 × 104
700 0.828 2.42 × 104
800 0.947 2.77 × 104
900 1.06 3.12 × 104
1000 1.18 3.46 × 104
2000 2.37 6.92 × 104
3000 3.55 1.04 × 105
4000 4.73 1.38 × 105
5000 5.92 1.73 × 105
6000 7.10 2.08 × 105
7000 8.28 2.42 × 105
8000 9.47 2.77 × 105
8580 10.2 2.97 × 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 0.0540 1100
30.0 0.0736 1500
40.0 0.0981 1990
50.0 0.123 2490
60.0 0.147 2990
70.0 0.172 3490
80.0 0.196 3990
90.0 0.221 4490
100 0.245 4980
200 0.491 9970
300 0.736 1.50 × 104
400 0.981 1.99 × 104
500 1.23 2.49 × 104
600 1.47 2.99 × 104
700 1.72 3.49 × 104
800 1.96 3.99 × 104
900 2.21 4.49 × 104
1000 2.45 4.98 × 104
2000 4.91 9.97 × 104
3000 7.36 1.50 × 105
4000 9.81 1.99 × 105
4150 10.2 2.07 × 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 0.171 1950
30.0 0.233 2660
40.0 0.310 3540
50.0 0.388 4430
60.0 0.465 5320
70.0 0.543 6200
80.0 0.620 7090
90.0 0.698 7980
100 0.775 8860
200 1.55 1.77 × 104
300 2.33 2.66 × 104
400 3.10 3.54 × 104
500 3.88 4.43 × 104
600 4.65 5.32 × 104
700 5.43 6.20 × 104
800 6.20 7.09 × 104
900 6.98 7.98 × 104
1000 7.75 8.86 × 104
1310 10.2 1.16 × 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 0.416 3050
30.0 0.568 4150
40.0 0.757 5540
50.0 0.947 6920
60.0 1.14 8310
70.0 1.33 9690
80.0 1.51 1.11 × 104
90.0 1.70 1.25 × 104
100 1.89 1.38 × 104
200 3.79 2.77 × 104
300 5.68 4.15 × 104
400 7.57 5.54 × 104
500 9.47 6.92 × 104
537 10.2 7.44 × 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 0.864 4390
30.0 1.18 5980
40.0 1.57 7980
50.0 1.96 9970
60.0 2.36 1.20 × 104
70.0 2.75 1.40 × 104
80.0 3.14 1.60 × 104
90.0 3.53 1.79 × 104
100 3.93 1.99 × 104
200 7.85 3.99 × 104
259 10.2 5.17 × 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 1.60 5970
30.0 2.18 8140
40.0 2.91 1.09 × 104
50.0 3.64 1.36 × 104
60.0 4.36 1.63 × 104
70.0 5.09 1.90 × 104
80.0 5.82 2.17 × 104
90.0 6.55 2.44 × 104
100 7.27 2.71 × 104
140 10.2 3.79 × 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 2.73 7800
30.0 3.72 1.06 × 104
40.0 4.96 1.42 × 104
50.0 6.20 1.77 × 104
60.0 7.44 2.13 × 104
70.0 8.68 2.48 × 104
80.0 9.93 2.84 × 104
82.0 10.2 2.91 × 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 4.37 9870
30.0 5.96 1.35 × 104
40.0 7.95 1.79 × 104
50.0 9.94 2.24 × 104
51.2 10.2 2.30 × 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 6.66 1.22 × 104
30.0 9.09 1.66 × 104
33.6 10.2 1.86 × 104
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