engineering fundamentals
Wide Flange Steel I Beam: W10 × 22
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 two equal spans, we compute the displacement at the middle of each span w_mid and the maximum normal stress stress_max occuring at the center support 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 4.46 × 10-6 12.8
30.0 6.09 × 10-6 17.5
40.0 8.11 × 10-6 23.3
50.0 1.01 × 10-5 29.1
60.0 1.22 × 10-5 34.9
70.0 1.42 × 10-5 40.7
80.0 1.62 × 10-5 46.5
90.0 1.83 × 10-5 52.4
100 2.03 × 10-5 58.2
200 4.06 × 10-5 116
300 6.09 × 10-5 175
400 8.11 × 10-5 233
500 1.01 × 10-4 291
600 1.22 × 10-4 349
700 1.42 × 10-4 407
800 1.62 × 10-4 465
900 1.83 × 10-4 524
1000 2.03 × 10-4 582
2000 4.06 × 10-4 1160
3000 6.09 × 10-4 1750
4000 8.11 × 10-4 2330
5000 0.00101 2910
6000 0.00122 3490
7000 0.00142 4070
8000 0.00162 4650
9000 0.00183 5240
1.00 × 104 0.00203 5820
2.00 × 104 0.00406 1.16 × 104
3.00 × 104 0.00609 1.75 × 104
4.00 × 104 0.00811 2.33 × 104
5.00 × 104 0.0101 2.91 × 104
6.00 × 104 0.0122 3.49 × 104
7.00 × 104 0.0142 4.07 × 104
8.00 × 104 0.0162 4.65 × 104
9.00 × 104 0.0183 5.24 × 104
1.00 × 105 0.0203 5.82 × 104
2.00 × 105 0.0406 1.16 × 105
3.00 × 105 0.0609 1.75 × 105
4.00 × 105 0.0811 2.33 × 105
5.00 × 105 0.101 2.91 × 105
5.11 × 105 0.104 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 3.44 × 10-5 35.6
30.0 4.70 × 10-5 48.5
40.0 6.26 × 10-5 64.6
50.0 7.83 × 10-5 80.8
60.0 9.39 × 10-5 97.0
70.0 1.10 × 10-4 113
80.0 1.25 × 10-4 129
90.0 1.41 × 10-4 145
100 1.57 × 10-4 162
200 3.13 × 10-4 323
300 4.70 × 10-4 485
400 6.26 × 10-4 646
500 7.83 × 10-4 808
600 9.39 × 10-4 970
700 0.00110 1130
800 0.00125 1290
900 0.00141 1450
1000 0.00157 1620
2000 0.00313 3230
3000 0.00470 4850
4000 0.00626 6460
5000 0.00783 8080
6000 0.00939 9700
7000 0.0110 1.13 × 104
8000 0.0125 1.29 × 104
9000 0.0141 1.45 × 104
1.00 × 104 0.0157 1.62 × 104
2.00 × 104 0.0313 3.23 × 104
3.00 × 104 0.0470 4.85 × 104
4.00 × 104 0.0626 6.46 × 104
5.00 × 104 0.0783 8.08 × 104
6.00 × 104 0.0939 9.70 × 104
7.00 × 104 0.110 1.13 × 105
8.00 × 104 0.125 1.29 × 105
9.00 × 104 0.141 1.45 × 105
1.00 × 105 0.157 1.62 × 105
1.84 × 105 0.288 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 5.51 × 10-4 142
30.0 7.51 × 10-4 194
40.0 0.00100 259
50.0 0.00125 323
60.0 0.00150 388
70.0 0.00175 452
80.0 0.00200 517
90.0 0.00225 582
100 0.00250 646
200 0.00501 1290
300 0.00751 1940
400 0.0100 2590
500 0.0125 3230
600 0.0150 3880
700 0.0175 4520
800 0.0200 5170
900 0.0225 5820
1000 0.0250 6460
2000 0.0501 1.29 × 104
3000 0.0751 1.94 × 104
4000 0.100 2.59 × 104
5000 0.125 3.23 × 104
6000 0.150 3.88 × 104
7000 0.175 4.52 × 104
8000 0.200 5.17 × 104
9000 0.225 5.82 × 104
1.00 × 104 0.250 6.46 × 104
2.00 × 104 0.501 1.29 × 105
3.00 × 104 0.751 1.94 × 105
4.00 × 104 1.00 2.59 × 105
4.60 × 104 1.15 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 0.00279 320
30.0 0.00380 436
40.0 0.00507 582
50.0 0.00634 727
60.0 0.00761 873
70.0 0.00887 1020
80.0 0.0101 1160
90.0 0.0114 1310
100 0.0127 1450
200 0.0254 2910
300 0.0380 4360
400 0.0507 5820
500 0.0634 7270
600 0.0761 8730
700 0.0887 1.02 × 104
800 0.101 1.16 × 104
900 0.114 1.31 × 104
1000 0.127 1.45 × 104
2000 0.254 2.91 × 104
3000 0.380 4.36 × 104
4000 0.507 5.82 × 104
5000 0.634 7.27 × 104
6000 0.761 8.73 × 104
7000 0.887 1.02 × 105
8000 1.01 1.16 × 105
9000 1.14 1.31 × 105
1.00 × 104 1.27 1.45 × 105
2.00 × 104 2.54 2.91 × 105
2.04 × 104 2.59 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 0.00881 569
30.0 0.0120 776
40.0 0.0160 1030
50.0 0.0200 1290
60.0 0.0240 1550
70.0 0.0280 1810
80.0 0.0321 2070
90.0 0.0361 2330
100 0.0401 2590
200 0.0801 5170
300 0.120 7760
400 0.160 1.03 × 104
500 0.200 1.29 × 104
600 0.240 1.55 × 104
700 0.280 1.81 × 104
800 0.321 2.07 × 104
900 0.361 2.33 × 104
1000 0.401 2.59 × 104
2000 0.801 5.17 × 104
3000 1.20 7.76 × 104
4000 1.60 1.03 × 105
5000 2.00 1.29 × 105
6000 2.40 1.55 × 105
7000 2.80 1.81 × 105
8000 3.21 2.07 × 105
9000 3.61 2.33 × 105
1.00 × 104 4.01 2.59 × 105
1.15 × 104 4.60 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 0.0215 889
30.0 0.0293 1210
40.0 0.0391 1620
50.0 0.0489 2020
60.0 0.0587 2420
70.0 0.0685 2830
80.0 0.0783 3230
90.0 0.0880 3640
100 0.0978 4040
200 0.196 8080
300 0.293 1.21 × 104
400 0.391 1.62 × 104
500 0.489 2.02 × 104
600 0.587 2.42 × 104
700 0.685 2.83 × 104
800 0.783 3.23 × 104
900 0.880 3.64 × 104
1000 0.978 4.04 × 104
2000 1.96 8.08 × 104
3000 2.93 1.21 × 105
4000 3.91 1.62 × 105
5000 4.89 2.02 × 105
6000 5.87 2.42 × 105
7000 6.85 2.83 × 105
7350 7.19 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 0.0446 1280
30.0 0.0609 1750
40.0 0.0811 2330
50.0 0.101 2910
60.0 0.122 3490
70.0 0.142 4070
80.0 0.162 4650
90.0 0.183 5240
100 0.203 5820
200 0.406 1.16 × 104
300 0.609 1.75 × 104
400 0.811 2.33 × 104
500 1.01 2.91 × 104
600 1.22 3.49 × 104
700 1.42 4.07 × 104
800 1.62 4.65 × 104
900 1.83 5.24 × 104
1000 2.03 5.82 × 104
2000 4.06 1.16 × 105
3000 6.09 1.75 × 105
4000 8.11 2.33 × 105
5000 10.1 2.91 × 105
5110 10.4 2.97 × 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 0.141 2280
30.0 0.192 3100
40.0 0.256 4140
50.0 0.321 5170
60.0 0.385 6210
70.0 0.449 7240
80.0 0.513 8270
90.0 0.577 9310
100 0.641 1.03 × 104
200 1.28 2.07 × 104
300 1.92 3.10 × 104
400 2.56 4.14 × 104
500 3.21 5.17 × 104
600 3.85 6.21 × 104
700 4.49 7.24 × 104
800 5.13 8.27 × 104
900 5.77 9.31 × 104
1000 6.41 1.03 × 105
1590 10.2 1.64 × 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 0.344 3560
30.0 0.470 4850
40.0 0.626 6460
50.0 0.783 8080
60.0 0.939 9700
70.0 1.10 1.13 × 104
80.0 1.25 1.29 × 104
90.0 1.41 1.45 × 104
100 1.57 1.62 × 104
200 3.13 3.23 × 104
300 4.70 4.85 × 104
400 6.26 6.46 × 104
500 7.83 8.08 × 104
600 9.39 9.70 × 104
650 10.2 1.05 × 105
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 0.714 5120
30.0 0.974 6980
40.0 1.30 9310
50.0 1.62 1.16 × 104
60.0 1.95 1.40 × 104
70.0 2.27 1.63 × 104
80.0 2.60 1.86 × 104
90.0 2.92 2.09 × 104
100 3.25 2.33 × 104
200 6.49 4.65 × 104
300 9.74 6.98 × 104
313 10.2 7.29 × 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 1.32 6970
30.0 1.80 9500
40.0 2.40 1.27 × 104
50.0 3.01 1.58 × 104
60.0 3.61 1.90 × 104
70.0 4.21 2.22 × 104
80.0 4.81 2.53 × 104
90.0 5.41 2.85 × 104
100 6.01 3.17 × 104
169 10.2 5.36 × 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 2.26 9100
30.0 3.08 1.24 × 104
40.0 4.10 1.65 × 104
50.0 5.13 2.07 × 104
60.0 6.15 2.48 × 104
70.0 7.18 2.90 × 104
80.0 8.21 3.31 × 104
90.0 9.23 3.72 × 104
99.2 10.2 4.10 × 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 3.61 1.15 × 104
30.0 4.93 1.57 × 104
40.0 6.57 2.09 × 104
50.0 8.21 2.62 × 104
60.0 9.86 3.14 × 104
61.9 10.2 3.24 × 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 5.51 1.42 × 104
30.0 7.51 1.94 × 104
40.0 10.0 2.59 × 104
40.6 10.2 2.63 × 104
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