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Wide Flange Steel I Beam: W10 × 15
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W10 × 15
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 = 68.9 in4) for the W10 × 15 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 × 15 (Wide Flange 10 inch tall × 15 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 6.30 × 10-6 12.6
20.0 8.40 × 10-6 16.8
30.0 1.26 × 10-5 25.2
40.0 1.68 × 10-5 33.5
50.0 2.10 × 10-5 41.9
60.0 2.52 × 10-5 50.3
70.0 2.94 × 10-5 58.7
80.0 3.36 × 10-5 67.1
90.0 3.78 × 10-5 75.5
100 4.20 × 10-5 83.9
200 8.40 × 10-5 168
300 1.26 × 10-4 252
400 1.68 × 10-4 335
500 2.10 × 10-4 419
600 2.52 × 10-4 503
700 2.94 × 10-4 587
800 3.36 × 10-4 671
900 3.78 × 10-4 755
1000 4.20 × 10-4 839
2000 8.40 × 10-4 1680
3000 0.00126 2520
4000 0.00168 3350
5000 0.00210 4190
6000 0.00252 5030
7000 0.00294 5870
8000 0.00336 6710
9000 0.00378 7550
1.00 × 104 0.00420 8390
2.00 × 104 0.00840 1.68 × 104
3.00 × 104 0.0126 2.52 × 104
4.00 × 104 0.0168 3.35 × 104
5.00 × 104 0.0210 4.19 × 104
6.00 × 104 0.0252 5.03 × 104
7.00 × 104 0.0294 5.87 × 104
8.00 × 104 0.0336 6.71 × 104
9.00 × 104 0.0378 7.55 × 104
1.00 × 105 0.0420 8.39 × 104
2.00 × 105 0.0840 1.68 × 105
3.00 × 105 0.126 2.52 × 105
3.54 × 105 0.149 2.97 × 105
Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 4.86 × 10-5 34.9
20.0 6.48 × 10-5 46.6
30.0 9.73 × 10-5 69.9
40.0 1.30 × 10-4 93.2
50.0 1.62 × 10-4 116
60.0 1.95 × 10-4 140
70.0 2.27 × 10-4 163
80.0 2.59 × 10-4 186
90.0 2.92 × 10-4 210
100 3.24 × 10-4 233
200 6.48 × 10-4 466
300 9.73 × 10-4 699
400 0.00130 932
500 0.00162 1160
600 0.00195 1400
700 0.00227 1630
800 0.00259 1860
900 0.00292 2100
1000 0.00324 2330
2000 0.00648 4660
3000 0.00973 6990
4000 0.0130 9320
5000 0.0162 1.16 × 104
6000 0.0195 1.40 × 104
7000 0.0227 1.63 × 104
8000 0.0259 1.86 × 104
9000 0.0292 2.10 × 104
1.00 × 104 0.0324 2.33 × 104
2.00 × 104 0.0648 4.66 × 104
3.00 × 104 0.0973 6.99 × 104
4.00 × 104 0.130 9.32 × 104
5.00 × 104 0.162 1.16 × 105
6.00 × 104 0.195 1.40 × 105
7.00 × 104 0.227 1.63 × 105
8.00 × 104 0.259 1.86 × 105
9.00 × 104 0.292 2.10 × 105
1.00 × 105 0.324 2.33 × 105
1.28 × 105 0.413 2.97 × 105
Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 7.78 × 10-4 140
20.0 0.00104 186
30.0 0.00156 280
40.0 0.00208 373
50.0 0.00259 466
60.0 0.00311 559
70.0 0.00363 652
80.0 0.00415 745
90.0 0.00467 839
100 0.00519 932
200 0.0104 1860
300 0.0156 2800
400 0.0208 3730
500 0.0259 4660
600 0.0311 5590
700 0.0363 6520
800 0.0415 7450
900 0.0467 8390
1000 0.0519 9320
2000 0.104 1.86 × 104
3000 0.156 2.80 × 104
4000 0.208 3.73 × 104
5000 0.259 4.66 × 104
6000 0.311 5.59 × 104
7000 0.363 6.52 × 104
8000 0.415 7.45 × 104
9000 0.467 8.39 × 104
1.00 × 104 0.519 9.32 × 104
2.00 × 104 1.04 1.86 × 105
3.00 × 104 1.56 2.80 × 105
3.19 × 104 1.65 2.97 × 105
Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.00394 314
20.0 0.00525 419
30.0 0.00788 629
40.0 0.0105 839
50.0 0.0131 1050
60.0 0.0158 1260
70.0 0.0184 1470
80.0 0.0210 1680
90.0 0.0236 1890
100 0.0263 2100
200 0.0525 4190
300 0.0788 6290
400 0.105 8390
500 0.131 1.05 × 104
600 0.158 1.26 × 104
700 0.184 1.47 × 104
800 0.210 1.68 × 104
900 0.236 1.89 × 104
1000 0.263 2.10 × 104
2000 0.525 4.19 × 104
3000 0.788 6.29 × 104
4000 1.05 8.39 × 104
5000 1.31 1.05 × 105
6000 1.58 1.26 × 105
7000 1.84 1.47 × 105
8000 2.10 1.68 × 105
9000 2.36 1.89 × 105
1.00 × 104 2.63 2.10 × 105
1.42 × 104 3.72 2.97 × 105
Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.0125 559
20.0 0.0166 745
30.0 0.0249 1120
40.0 0.0332 1490
50.0 0.0415 1860
60.0 0.0498 2240
70.0 0.0581 2610
80.0 0.0664 2980
90.0 0.0747 3350
100 0.0830 3730
200 0.166 7450
300 0.249 1.12 × 104
400 0.332 1.49 × 104
500 0.415 1.86 × 104
600 0.498 2.24 × 104
700 0.581 2.61 × 104
800 0.664 2.98 × 104
900 0.747 3.35 × 104
1000 0.830 3.73 × 104
2000 1.66 7.45 × 104
3000 2.49 1.12 × 105
4000 3.32 1.49 × 105
5000 4.15 1.86 × 105
6000 4.98 2.24 × 105
7000 5.81 2.61 × 105
7970 6.62 2.97 × 105
Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.0304 873
20.0 0.0405 1160
30.0 0.0608 1750
40.0 0.0811 2330
50.0 0.101 2910
60.0 0.122 3490
70.0 0.142 4080
80.0 0.162 4660
90.0 0.182 5240
100 0.203 5820
200 0.405 1.16 × 104
300 0.608 1.75 × 104
400 0.811 2.33 × 104
500 1.01 2.91 × 104
600 1.22 3.49 × 104
700 1.42 4.08 × 104
800 1.62 4.66 × 104
900 1.82 5.24 × 104
1000 2.03 5.82 × 104
2000 4.05 1.16 × 105
3000 6.08 1.75 × 105
4000 8.11 2.33 × 105
4930 9.99 2.87 × 105
Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.0630 1260
20.0 0.0840 1680
30.0 0.126 2520
40.0 0.168 3350
50.0 0.210 4190
60.0 0.252 5030
70.0 0.294 5870
80.0 0.336 6710
90.0 0.378 7550
100 0.420 8390
200 0.840 1.68 × 104
300 1.26 2.52 × 104
400 1.68 3.35 × 104
500 2.10 4.19 × 104
600 2.52 5.03 × 104
700 2.94 5.87 × 104
800 3.36 6.71 × 104
900 3.78 7.55 × 104
1000 4.20 8.39 × 104
2000 8.40 1.68 × 105
2380 9.99 1.99 × 105
Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.199 2240
20.0 0.266 2980
30.0 0.398 4470
40.0 0.531 5960
50.0 0.664 7450
60.0 0.797 8940
70.0 0.930 1.04 × 104
80.0 1.06 1.19 × 104
90.0 1.20 1.34 × 104
100 1.33 1.49 × 104
200 2.66 2.98 × 104
300 3.98 4.47 × 104
400 5.31 5.96 × 104
500 6.64 7.45 × 104
600 7.97 8.94 × 104
700 9.30 1.04 × 105
752 9.99 1.12 × 105
Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.486 3490
20.0 0.648 4660
30.0 0.973 6990
40.0 1.30 9320
50.0 1.62 1.16 × 104
60.0 1.95 1.40 × 104
70.0 2.27 1.63 × 104
80.0 2.59 1.86 × 104
90.0 2.92 2.10 × 104
100 3.24 2.33 × 104
200 6.48 4.66 × 104
300 9.73 6.99 × 104
308 9.99 7.18 × 104
Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 1.01 5030
20.0 1.34 6710
30.0 2.02 1.01 × 104
40.0 2.69 1.34 × 104
50.0 3.36 1.68 × 104
60.0 4.03 2.01 × 104
70.0 4.71 2.35 × 104
80.0 5.38 2.68 × 104
90.0 6.05 3.02 × 104
100 6.72 3.35 × 104
149 9.99 4.98 × 104
Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 1.87 6850
20.0 2.49 9130
30.0 3.74 1.37 × 104
40.0 4.98 1.83 × 104
50.0 6.23 2.28 × 104
60.0 7.47 2.74 × 104
70.0 8.72 3.20 × 104
80.0 9.96 3.65 × 104
80.2 9.99 3.66 × 104
Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 3.19 8940
20.0 4.25 1.19 × 104
30.0 6.37 1.79 × 104
40.0 8.50 2.39 × 104
47.0 9.99 2.80 × 104
Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 5.11 1.13 × 104
20.0 6.81 1.51 × 104
29.4 9.99 2.22 × 104
Steel I Beam: W10 × 15 (Wide Flange 10 inch tall × 15 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 7.78 1.40 × 104
19.3 9.99 1.79 × 104
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