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Wide Flange Steel I Beam: W10 × 15
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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 6.80 × 10-6 11.7
20.0 9.07 × 10-6 15.7
30.0 1.36 × 10-5 23.5
40.0 1.81 × 10-5 31.3
50.0 2.27 × 10-5 39.1
60.0 2.72 × 10-5 47.0
70.0 3.17 × 10-5 54.8
80.0 3.63 × 10-5 62.6
90.0 4.08 × 10-5 70.5
100 4.54 × 10-5 78.3
200 9.07 × 10-5 157
300 1.36 × 10-4 235
400 1.81 × 10-4 313
500 2.27 × 10-4 391
600 2.72 × 10-4 470
700 3.17 × 10-4 548
800 3.63 × 10-4 626
900 4.08 × 10-4 705
1000 4.54 × 10-4 783
2000 9.07 × 10-4 1570
3000 0.00136 2350
4000 0.00181 3130
5000 0.00227 3910
6000 0.00272 4700
7000 0.00317 5480
8000 0.00363 6260
9000 0.00408 7050
1.00 × 104 0.00454 7830
2.00 × 104 0.00907 1.57 × 104
3.00 × 104 0.0136 2.35 × 104
4.00 × 104 0.0181 3.13 × 104
5.00 × 104 0.0227 3.91 × 104
6.00 × 104 0.0272 4.70 × 104
7.00 × 104 0.0317 5.48 × 104
8.00 × 104 0.0363 6.26 × 104
9.00 × 104 0.0408 7.05 × 104
1.00 × 105 0.0454 7.83 × 104
2.00 × 105 0.0907 1.57 × 105
3.00 × 105 0.136 2.35 × 105
3.79 × 105 0.172 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 5.25 × 10-5 32.6
20.0 7.00 × 10-5 43.5
30.0 1.05 × 10-4 65.2
40.0 1.40 × 10-4 87.0
50.0 1.75 × 10-4 109
60.0 2.10 × 10-4 130
70.0 2.45 × 10-4 152
80.0 2.80 × 10-4 174
90.0 3.15 × 10-4 196
100 3.50 × 10-4 217
200 7.00 × 10-4 435
300 0.00105 652
400 0.00140 870
500 0.00175 1090
600 0.00210 1300
700 0.00245 1520
800 0.00280 1740
900 0.00315 1960
1000 0.00350 2170
2000 0.00700 4350
3000 0.0105 6520
4000 0.0140 8700
5000 0.0175 1.09 × 104
6000 0.0210 1.30 × 104
7000 0.0245 1.52 × 104
8000 0.0280 1.74 × 104
9000 0.0315 1.96 × 104
1.00 × 104 0.0350 2.17 × 104
2.00 × 104 0.0700 4.35 × 104
3.00 × 104 0.105 6.52 × 104
4.00 × 104 0.140 8.70 × 104
5.00 × 104 0.175 1.09 × 105
6.00 × 104 0.210 1.30 × 105
7.00 × 104 0.245 1.52 × 105
8.00 × 104 0.280 1.74 × 105
9.00 × 104 0.315 1.96 × 105
1.00 × 105 0.350 2.17 × 105
1.37 × 105 0.478 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 8.40 × 10-4 130
20.0 0.00112 174
30.0 0.00168 261
40.0 0.00224 348
50.0 0.00280 435
60.0 0.00336 522
70.0 0.00392 609
80.0 0.00448 696
90.0 0.00504 783
100 0.00560 870
200 0.0112 1740
300 0.0168 2610
400 0.0224 3480
500 0.0280 4350
600 0.0336 5220
700 0.0392 6090
800 0.0448 6960
900 0.0504 7830
1000 0.0560 8700
2000 0.112 1.74 × 104
3000 0.168 2.61 × 104
4000 0.224 3.48 × 104
5000 0.280 4.35 × 104
6000 0.336 5.22 × 104
7000 0.392 6.09 × 104
8000 0.448 6.96 × 104
9000 0.504 7.83 × 104
1.00 × 104 0.560 8.70 × 104
2.00 × 104 1.12 1.74 × 105
3.00 × 104 1.68 2.61 × 105
3.41 × 104 1.91 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 0.00425 294
20.0 0.00567 391
30.0 0.00850 587
40.0 0.0113 783
50.0 0.0142 979
60.0 0.0170 1170
70.0 0.0198 1370
80.0 0.0227 1570
90.0 0.0255 1760
100 0.0283 1960
200 0.0567 3910
300 0.0850 5870
400 0.113 7830
500 0.142 9790
600 0.170 1.17 × 104
700 0.198 1.37 × 104
800 0.227 1.57 × 104
900 0.255 1.76 × 104
1000 0.283 1.96 × 104
2000 0.567 3.91 × 104
3000 0.850 5.87 × 104
4000 1.13 7.83 × 104
5000 1.42 9.79 × 104
6000 1.70 1.17 × 105
7000 1.98 1.37 × 105
8000 2.27 1.57 × 105
9000 2.55 1.76 × 105
1.00 × 104 2.83 1.96 × 105
1.52 × 104 4.30 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 0.0134 522
20.0 0.0179 696
30.0 0.0269 1040
40.0 0.0358 1390
50.0 0.0448 1740
60.0 0.0538 2090
70.0 0.0627 2440
80.0 0.0717 2780
90.0 0.0806 3130
100 0.0896 3480
200 0.179 6960
300 0.269 1.04 × 104
400 0.358 1.39 × 104
500 0.448 1.74 × 104
600 0.538 2.09 × 104
700 0.627 2.44 × 104
800 0.717 2.78 × 104
900 0.806 3.13 × 104
1000 0.896 3.48 × 104
2000 1.79 6.96 × 104
3000 2.69 1.04 × 105
4000 3.58 1.39 × 105
5000 4.48 1.74 × 105
6000 5.38 2.09 × 105
7000 6.27 2.44 × 105
8000 7.17 2.78 × 105
8540 7.65 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 0.0328 816
20.0 0.0437 1090
30.0 0.0656 1630
40.0 0.0875 2170
50.0 0.109 2720
60.0 0.131 3260
70.0 0.153 3810
80.0 0.175 4350
90.0 0.197 4890
100 0.219 5440
200 0.437 1.09 × 104
300 0.656 1.63 × 104
400 0.875 2.17 × 104
500 1.09 2.72 × 104
600 1.31 3.26 × 104
700 1.53 3.81 × 104
800 1.75 4.35 × 104
900 1.97 4.89 × 104
1000 2.19 5.44 × 104
2000 4.37 1.09 × 105
3000 6.56 1.63 × 105
4000 8.75 2.17 × 105
4570 9.99 2.48 × 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 0.0680 1170
20.0 0.0907 1570
30.0 0.136 2350
40.0 0.181 3130
50.0 0.227 3910
60.0 0.272 4700
70.0 0.317 5480
80.0 0.363 6260
90.0 0.408 7050
100 0.454 7830
200 0.907 1.57 × 104
300 1.36 2.35 × 104
400 1.81 3.13 × 104
500 2.27 3.91 × 104
600 2.72 4.70 × 104
700 3.17 5.48 × 104
800 3.63 6.26 × 104
900 4.08 7.05 × 104
1000 4.54 7.83 × 104
2000 9.07 1.57 × 105
2200 9.99 1.72 × 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 0.215 2090
20.0 0.287 2780
30.0 0.430 4180
40.0 0.573 5570
50.0 0.717 6960
60.0 0.860 8350
70.0 1.00 9740
80.0 1.15 1.11 × 104
90.0 1.29 1.25 × 104
100 1.43 1.39 × 104
200 2.87 2.78 × 104
300 4.30 4.18 × 104
400 5.73 5.57 × 104
500 7.17 6.96 × 104
600 8.60 8.35 × 104
697 9.99 9.70 × 104
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 0.525 3260
20.0 0.700 4350
30.0 1.05 6520
40.0 1.40 8700
50.0 1.75 1.09 × 104
60.0 2.10 1.30 × 104
70.0 2.45 1.52 × 104
80.0 2.80 1.74 × 104
90.0 3.15 1.96 × 104
100 3.50 2.17 × 104
200 7.00 4.35 × 104
285 9.99 6.21 × 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 1.09 4700
20.0 1.45 6260
30.0 2.18 9400
40.0 2.90 1.25 × 104
50.0 3.63 1.57 × 104
60.0 4.35 1.88 × 104
70.0 5.08 2.19 × 104
80.0 5.81 2.51 × 104
90.0 6.53 2.82 × 104
100 7.26 3.13 × 104
138 9.99 4.31 × 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 2.02 6390
20.0 2.69 8530
30.0 4.03 1.28 × 104
40.0 5.38 1.71 × 104
50.0 6.72 2.13 × 104
60.0 8.07 2.56 × 104
70.0 9.41 2.98 × 104
74.3 9.99 3.17 × 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 3.44 8350
20.0 4.59 1.11 × 104
30.0 6.88 1.67 × 104
40.0 9.17 2.23 × 104
43.6 9.99 2.43 × 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 5.51 1.06 × 104
20.0 7.35 1.41 × 104
27.2 9.99 1.92 × 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 8.40 1.30 × 104
17.8 9.99 1.55 × 104
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