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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W10 × 30
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 = 170 in4) for the W10 × 30 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 × 30 (Wide Flange 10 inch tall × 30 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 5.51 × 10-6 9.98
40.0 7.35 × 10-6 13.3
50.0 9.19 × 10-6 16.6
60.0 1.10 × 10-5 20.0
70.0 1.29 × 10-5 23.3
80.0 1.47 × 10-5 26.6
90.0 1.65 × 10-5 29.9
100 1.84 × 10-5 33.3
200 3.68 × 10-5 66.5
300 5.51 × 10-5 99.8
400 7.35 × 10-5 133
500 9.19 × 10-5 166
600 1.10 × 10-4 200
700 1.29 × 10-4 233
800 1.47 × 10-4 266
900 1.65 × 10-4 299
1000 1.84 × 10-4 333
2000 3.68 × 10-4 665
3000 5.51 × 10-4 998
4000 7.35 × 10-4 1330
5000 9.19 × 10-4 1660
6000 0.00110 2000
7000 0.00129 2330
8000 0.00147 2660
9000 0.00165 2990
1.00 × 104 0.00184 3330
2.00 × 104 0.00368 6650
3.00 × 104 0.00551 9980
4.00 × 104 0.00735 1.33 × 104
5.00 × 104 0.00919 1.66 × 104
6.00 × 104 0.0110 2.00 × 104
7.00 × 104 0.0129 2.33 × 104
8.00 × 104 0.0147 2.66 × 104
9.00 × 104 0.0165 2.99 × 104
1.00 × 105 0.0184 3.33 × 104
2.00 × 105 0.0368 6.65 × 104
3.00 × 105 0.0551 9.98 × 104
4.00 × 105 0.0735 1.33 × 105
5.00 × 105 0.0919 1.66 × 105
6.00 × 105 0.110 2.00 × 105
7.00 × 105 0.129 2.33 × 105
8.00 × 105 0.147 2.66 × 105
8.93 × 105 0.164 2.97 × 105
Steel I Beam: W10 × 30 (Wide Flange 10 inch tall × 30 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 4.26 × 10-5 27.7
40.0 5.67 × 10-5 37.0
50.0 7.09 × 10-5 46.2
60.0 8.51 × 10-5 55.4
70.0 9.93 × 10-5 64.7
80.0 1.13 × 10-4 73.9
90.0 1.28 × 10-4 83.1
100 1.42 × 10-4 92.4
200 2.84 × 10-4 185
300 4.26 × 10-4 277
400 5.67 × 10-4 370
500 7.09 × 10-4 462
600 8.51 × 10-4 554
700 9.93 × 10-4 647
800 0.00113 739
900 0.00128 831
1000 0.00142 924
2000 0.00284 1850
3000 0.00426 2770
4000 0.00567 3700
5000 0.00709 4620
6000 0.00851 5540
7000 0.00993 6470
8000 0.0113 7390
9000 0.0128 8310
1.00 × 104 0.0142 9240
2.00 × 104 0.0284 1.85 × 104
3.00 × 104 0.0426 2.77 × 104
4.00 × 104 0.0567 3.70 × 104
5.00 × 104 0.0709 4.62 × 104
6.00 × 104 0.0851 5.54 × 104
7.00 × 104 0.0993 6.47 × 104
8.00 × 104 0.113 7.39 × 104
9.00 × 104 0.128 8.31 × 104
1.00 × 105 0.142 9.24 × 104
2.00 × 105 0.284 1.85 × 105
3.00 × 105 0.426 2.77 × 105
3.22 × 105 0.456 2.97 × 105
Steel I Beam: W10 × 30 (Wide Flange 10 inch tall × 30 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 6.81 × 10-4 111
40.0 9.08 × 10-4 148
50.0 0.00113 185
60.0 0.00136 222
70.0 0.00159 259
80.0 0.00182 296
90.0 0.00204 333
100 0.00227 370
200 0.00454 739
300 0.00681 1110
400 0.00908 1480
500 0.0113 1850
600 0.0136 2220
700 0.0159 2590
800 0.0182 2960
900 0.0204 3330
1000 0.0227 3700
2000 0.0454 7390
3000 0.0681 1.11 × 104
4000 0.0908 1.48 × 104
5000 0.113 1.85 × 104
6000 0.136 2.22 × 104
7000 0.159 2.59 × 104
8000 0.182 2.96 × 104
9000 0.204 3.33 × 104
1.00 × 104 0.227 3.70 × 104
2.00 × 104 0.454 7.39 × 104
3.00 × 104 0.681 1.11 × 105
4.00 × 104 0.908 1.48 × 105
5.00 × 104 1.13 1.85 × 105
6.00 × 104 1.36 2.22 × 105
7.00 × 104 1.59 2.59 × 105
8.00 × 104 1.82 2.96 × 105
8.04 × 104 1.82 2.97 × 105
Steel I Beam: W10 × 30 (Wide Flange 10 inch tall × 30 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 0.00345 249
40.0 0.00460 333
50.0 0.00574 416
60.0 0.00689 499
70.0 0.00804 582
80.0 0.00919 665
90.0 0.0103 748
100 0.0115 831
200 0.0230 1660
300 0.0345 2490
400 0.0460 3330
500 0.0574 4160
600 0.0689 4990
700 0.0804 5820
800 0.0919 6650
900 0.103 7480
1000 0.115 8310
2000 0.230 1.66 × 104
3000 0.345 2.49 × 104
4000 0.460 3.33 × 104
5000 0.574 4.16 × 104
6000 0.689 4.99 × 104
7000 0.804 5.82 × 104
8000 0.919 6.65 × 104
9000 1.03 7.48 × 104
1.00 × 104 1.15 8.31 × 104
2.00 × 104 2.30 1.66 × 105
3.00 × 104 3.45 2.49 × 105
3.57 × 104 4.10 2.97 × 105
Steel I Beam: W10 × 30 (Wide Flange 10 inch tall × 30 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 0.0109 443
40.0 0.0145 591
50.0 0.0182 739
60.0 0.0218 887
70.0 0.0254 1030
80.0 0.0290 1180
90.0 0.0327 1330
100 0.0363 1480
200 0.0726 2960
300 0.109 4430
400 0.145 5910
500 0.182 7390
600 0.218 8870
700 0.254 1.03 × 104
800 0.290 1.18 × 104
900 0.327 1.33 × 104
1000 0.363 1.48 × 104
2000 0.726 2.96 × 104
3000 1.09 4.43 × 104
4000 1.45 5.91 × 104
5000 1.82 7.39 × 104
6000 2.18 8.87 × 104
7000 2.54 1.03 × 105
8000 2.90 1.18 × 105
9000 3.27 1.33 × 105
1.00 × 104 3.63 1.48 × 105
2.00 × 104 7.26 2.96 × 105
2.01 × 104 7.30 2.97 × 105
Steel I Beam: W10 × 30 (Wide Flange 10 inch tall × 30 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 0.0266 693
40.0 0.0355 924
50.0 0.0443 1150
60.0 0.0532 1390
70.0 0.0621 1620
80.0 0.0709 1850
90.0 0.0798 2080
100 0.0886 2310
200 0.177 4620
300 0.266 6930
400 0.355 9240
500 0.443 1.15 × 104
600 0.532 1.39 × 104
700 0.621 1.62 × 104
800 0.709 1.85 × 104
900 0.798 2.08 × 104
1000 0.886 2.31 × 104
2000 1.77 4.62 × 104
3000 2.66 6.93 × 104
4000 3.55 9.24 × 104
5000 4.43 1.15 × 105
6000 5.32 1.39 × 105
7000 6.21 1.62 × 105
8000 7.09 1.85 × 105
9000 7.98 2.08 × 105
1.00 × 104 8.86 2.31 × 105
1.29 × 104 11.4 2.97 × 105
Steel I Beam: W10 × 30 (Wide Flange 10 inch tall × 30 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 0.0551 998
40.0 0.0735 1330
50.0 0.0919 1660
60.0 0.110 2000
70.0 0.129 2330
80.0 0.147 2660
90.0 0.165 2990
100 0.184 3330
200 0.368 6650
300 0.551 9980
400 0.735 1.33 × 104
500 0.919 1.66 × 104
600 1.10 2.00 × 104
700 1.29 2.33 × 104
800 1.47 2.66 × 104
900 1.65 2.99 × 104
1000 1.84 3.33 × 104
2000 3.68 6.65 × 104
3000 5.51 9.98 × 104
4000 7.35 1.33 × 105
5000 9.19 1.66 × 105
5700 10.5 1.89 × 105
Steel I Beam: W10 × 30 (Wide Flange 10 inch tall × 30 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 0.174 1770
40.0 0.232 2360
50.0 0.290 2960
60.0 0.349 3550
70.0 0.407 4140
80.0 0.465 4730
90.0 0.523 5320
100 0.581 5910
200 1.16 1.18 × 104
300 1.74 1.77 × 104
400 2.32 2.36 × 104
500 2.90 2.96 × 104
600 3.49 3.55 × 104
700 4.07 4.14 × 104
800 4.65 4.73 × 104
900 5.23 5.32 × 104
1000 5.81 5.91 × 104
1800 10.5 1.07 × 105
Steel I Beam: W10 × 30 (Wide Flange 10 inch tall × 30 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 0.426 2770
40.0 0.567 3700
50.0 0.709 4620
60.0 0.851 5540
70.0 0.993 6470
80.0 1.13 7390
90.0 1.28 8310
100 1.42 9240
200 2.84 1.85 × 104
300 4.26 2.77 × 104
400 5.67 3.70 × 104
500 7.09 4.62 × 104
600 8.51 5.54 × 104
700 9.93 6.47 × 104
738 10.5 6.82 × 104
Steel I Beam: W10 × 30 (Wide Flange 10 inch tall × 30 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 0.882 3990
40.0 1.18 5320
50.0 1.47 6650
60.0 1.76 7980
70.0 2.06 9310
80.0 2.35 1.06 × 104
90.0 2.65 1.20 × 104
100 2.94 1.33 × 104
200 5.88 2.66 × 104
300 8.82 3.99 × 104
356 10.5 4.74 × 104
Steel I Beam: W10 × 30 (Wide Flange 10 inch tall × 30 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 1.63 5430
40.0 2.18 7240
50.0 2.72 9050
60.0 3.27 1.09 × 104
70.0 3.81 1.27 × 104
80.0 4.36 1.45 × 104
90.0 4.90 1.63 × 104
100 5.45 1.81 × 104
192 10.5 3.48 × 104
Steel I Beam: W10 × 30 (Wide Flange 10 inch tall × 30 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 2.79 7090
40.0 3.72 9460
50.0 4.65 1.18 × 104
60.0 5.58 1.42 × 104
70.0 6.51 1.66 × 104
80.0 7.44 1.89 × 104
90.0 8.37 2.13 × 104
100 9.30 2.36 × 104
113 10.5 2.66 × 104
Steel I Beam: W10 × 30 (Wide Flange 10 inch tall × 30 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 4.47 8980
40.0 5.96 1.20 × 104
50.0 7.44 1.50 × 104
60.0 8.93 1.80 × 104
70.0 10.4 2.10 × 104
70.3 10.5 2.10 × 104
Steel I Beam: W10 × 30 (Wide Flange 10 inch tall × 30 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 6.81 1.11 × 104
40.0 9.08 1.48 × 104
46.1 10.5 1.70 × 104
Additional Information
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