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Wide Flange Steel I Beam: W10 × 19
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W10 × 19
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 = 96.3 in4) for the W10 × 19 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 × 19 (Wide Flange 10 inch tall × 19 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 6.17 × 10-6 10.9
20.0 6.49 × 10-6 11.5
30.0 9.73 × 10-6 17.2
40.0 1.30 × 10-5 23.0
50.0 1.62 × 10-5 28.7
60.0 1.95 × 10-5 34.5
70.0 2.27 × 10-5 40.2
80.0 2.60 × 10-5 45.9
90.0 2.92 × 10-5 51.7
100 3.24 × 10-5 57.4
200 6.49 × 10-5 115
300 9.73 × 10-5 172
400 1.30 × 10-4 230
500 1.62 × 10-4 287
600 1.95 × 10-4 345
700 2.27 × 10-4 402
800 2.60 × 10-4 459
900 2.92 × 10-4 517
1000 3.24 × 10-4 574
2000 6.49 × 10-4 1150
3000 9.73 × 10-4 1720
4000 0.00130 2300
5000 0.00162 2870
6000 0.00195 3450
7000 0.00227 4020
8000 0.00260 4590
9000 0.00292 5170
1.00 × 104 0.00324 5740
2.00 × 104 0.00649 1.15 × 104
3.00 × 104 0.00973 1.72 × 104
4.00 × 104 0.0130 2.30 × 104
5.00 × 104 0.0162 2.87 × 104
6.00 × 104 0.0195 3.45 × 104
7.00 × 104 0.0227 4.02 × 104
8.00 × 104 0.0260 4.59 × 104
9.00 × 104 0.0292 5.17 × 104
1.00 × 105 0.0324 5.74 × 104
2.00 × 105 0.0649 1.15 × 105
3.00 × 105 0.0973 1.72 × 105
4.00 × 105 0.130 2.30 × 105
5.00 × 105 0.162 2.87 × 105
5.17 × 105 0.168 2.97 × 105
Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 4.76 × 10-5 30.3
20.0 5.01 × 10-5 31.9
30.0 7.51 × 10-5 47.9
40.0 1.00 × 10-4 63.8
50.0 1.25 × 10-4 79.8
60.0 1.50 × 10-4 95.7
70.0 1.75 × 10-4 112
80.0 2.00 × 10-4 128
90.0 2.25 × 10-4 144
100 2.50 × 10-4 160
200 5.01 × 10-4 319
300 7.51 × 10-4 479
400 0.00100 638
500 0.00125 798
600 0.00150 957
700 0.00175 1120
800 0.00200 1280
900 0.00225 1440
1000 0.00250 1600
2000 0.00501 3190
3000 0.00751 4790
4000 0.0100 6380
5000 0.0125 7980
6000 0.0150 9570
7000 0.0175 1.12 × 104
8000 0.0200 1.28 × 104
9000 0.0225 1.44 × 104
1.00 × 104 0.0250 1.60 × 104
2.00 × 104 0.0501 3.19 × 104
3.00 × 104 0.0751 4.79 × 104
4.00 × 104 0.100 6.38 × 104
5.00 × 104 0.125 7.98 × 104
6.00 × 104 0.150 9.57 × 104
7.00 × 104 0.175 1.12 × 105
8.00 × 104 0.200 1.28 × 105
9.00 × 104 0.225 1.44 × 105
1.00 × 105 0.250 1.60 × 105
1.86 × 105 0.466 2.97 × 105
Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 7.61 × 10-4 121
20.0 8.01 × 10-4 128
30.0 0.00120 191
40.0 0.00160 255
50.0 0.00200 319
60.0 0.00240 383
70.0 0.00280 447
80.0 0.00320 510
90.0 0.00361 574
100 0.00401 638
200 0.00801 1280
300 0.0120 1910
400 0.0160 2550
500 0.0200 3190
600 0.0240 3830
700 0.0280 4470
800 0.0320 5100
900 0.0361 5740
1000 0.0401 6380
2000 0.0801 1.28 × 104
3000 0.120 1.91 × 104
4000 0.160 2.55 × 104
5000 0.200 3.19 × 104
6000 0.240 3.83 × 104
7000 0.280 4.47 × 104
8000 0.320 5.10 × 104
9000 0.361 5.74 × 104
1.00 × 104 0.401 6.38 × 104
2.00 × 104 0.801 1.28 × 105
3.00 × 104 1.20 1.91 × 105
4.00 × 104 1.60 2.55 × 105
4.66 × 104 1.87 2.97 × 105
Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.00385 273
20.0 0.00406 287
30.0 0.00608 431
40.0 0.00811 574
50.0 0.0101 718
60.0 0.0122 861
70.0 0.0142 1000
80.0 0.0162 1150
90.0 0.0183 1290
100 0.0203 1440
200 0.0406 2870
300 0.0608 4310
400 0.0811 5740
500 0.101 7180
600 0.122 8610
700 0.142 1.00 × 104
800 0.162 1.15 × 104
900 0.183 1.29 × 104
1000 0.203 1.44 × 104
2000 0.406 2.87 × 104
3000 0.608 4.31 × 104
4000 0.811 5.74 × 104
5000 1.01 7.18 × 104
6000 1.22 8.61 × 104
7000 1.42 1.00 × 105
8000 1.62 1.15 × 105
9000 1.83 1.29 × 105
1.00 × 104 2.03 1.44 × 105
2.00 × 104 4.06 2.87 × 105
2.07 × 104 4.20 2.97 × 105
Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.0122 485
20.0 0.0128 510
30.0 0.0192 766
40.0 0.0256 1020
50.0 0.0320 1280
60.0 0.0385 1530
70.0 0.0449 1790
80.0 0.0513 2040
90.0 0.0577 2300
100 0.0641 2550
200 0.128 5100
300 0.192 7660
400 0.256 1.02 × 104
500 0.320 1.28 × 104
600 0.385 1.53 × 104
700 0.449 1.79 × 104
800 0.513 2.04 × 104
900 0.577 2.30 × 104
1000 0.641 2.55 × 104
2000 1.28 5.10 × 104
3000 1.92 7.66 × 104
4000 2.56 1.02 × 105
5000 3.20 1.28 × 105
6000 3.85 1.53 × 105
7000 4.49 1.79 × 105
8000 5.13 2.04 × 105
9000 5.77 2.30 × 105
1.00 × 104 6.41 2.55 × 105
1.16 × 104 7.46 2.97 × 105
Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.0297 758
20.0 0.0313 798
30.0 0.0469 1200
40.0 0.0626 1600
50.0 0.0782 1990
60.0 0.0939 2390
70.0 0.110 2790
80.0 0.125 3190
90.0 0.141 3590
100 0.156 3990
200 0.313 7980
300 0.469 1.20 × 104
400 0.626 1.60 × 104
500 0.782 1.99 × 104
600 0.939 2.39 × 104
700 1.10 2.79 × 104
800 1.25 3.19 × 104
900 1.41 3.59 × 104
1000 1.56 3.99 × 104
2000 3.13 7.98 × 104
3000 4.69 1.20 × 105
4000 6.26 1.60 × 105
5000 7.82 1.99 × 105
6000 9.39 2.39 × 105
6540 10.2 2.61 × 105
Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.0617 1090
20.0 0.0649 1150
30.0 0.0973 1720
40.0 0.130 2300
50.0 0.162 2870
60.0 0.195 3450
70.0 0.227 4020
80.0 0.260 4590
90.0 0.292 5170
100 0.324 5740
200 0.649 1.15 × 104
300 0.973 1.72 × 104
400 1.30 2.30 × 104
500 1.62 2.87 × 104
600 1.95 3.45 × 104
700 2.27 4.02 × 104
800 2.60 4.59 × 104
900 2.92 5.17 × 104
1000 3.24 5.74 × 104
2000 6.49 1.15 × 105
3000 9.73 1.72 × 105
3160 10.2 1.81 × 105
Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.195 1940
20.0 0.205 2040
30.0 0.308 3060
40.0 0.410 4080
50.0 0.513 5100
60.0 0.615 6120
70.0 0.718 7150
80.0 0.820 8170
90.0 0.923 9190
100 1.03 1.02 × 104
200 2.05 2.04 × 104
300 3.08 3.06 × 104
400 4.10 4.08 × 104
500 5.13 5.10 × 104
600 6.15 6.12 × 104
700 7.18 7.15 × 104
800 8.20 8.17 × 104
900 9.23 9.19 × 104
998 10.2 1.02 × 105
Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.476 3030
20.0 0.501 3190
30.0 0.751 4790
40.0 1.00 6380
50.0 1.25 7980
60.0 1.50 9570
70.0 1.75 1.12 × 104
80.0 2.00 1.28 × 104
90.0 2.25 1.44 × 104
100 2.50 1.60 × 104
200 5.01 3.19 × 104
300 7.51 4.79 × 104
400 10.0 6.38 × 104
409 10.2 6.52 × 104
Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.986 4360
20.0 1.04 4590
30.0 1.56 6890
40.0 2.08 9190
50.0 2.60 1.15 × 104
60.0 3.12 1.38 × 104
70.0 3.63 1.61 × 104
80.0 4.15 1.84 × 104
90.0 4.67 2.07 × 104
100 5.19 2.30 × 104
197 10.2 4.53 × 104
Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 1.83 5940
20.0 1.92 6250
30.0 2.89 9380
40.0 3.85 1.25 × 104
50.0 4.81 1.56 × 104
60.0 5.77 1.88 × 104
70.0 6.73 2.19 × 104
80.0 7.69 2.50 × 104
90.0 8.66 2.81 × 104
100 9.62 3.13 × 104
106 10.2 3.33 × 104
Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 3.12 7760
20.0 3.28 8170
30.0 4.92 1.22 × 104
40.0 6.56 1.63 × 104
50.0 8.20 2.04 × 104
60.0 9.85 2.45 × 104
62.4 10.2 2.55 × 104
Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 4.99 9820
20.0 5.26 1.03 × 104
30.0 7.89 1.55 × 104
39.0 10.2 2.01 × 104
Steel I Beam: W10 × 19 (Wide Flange 10 inch tall × 19 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 7.61 1.21 × 104
20.0 8.01 1.28 × 104
25.6 10.2 1.63 × 104
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