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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 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 = 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 5.71 × 10-6 11.7
20.0 6.01 × 10-6 12.3
30.0 9.02 × 10-6 18.4
40.0 1.20 × 10-5 24.6
50.0 1.50 × 10-5 30.7
60.0 1.80 × 10-5 36.9
70.0 2.10 × 10-5 43.0
80.0 2.41 × 10-5 49.2
90.0 2.71 × 10-5 55.3
100 3.01 × 10-5 61.5
200 6.01 × 10-5 123
300 9.02 × 10-5 184
400 1.20 × 10-4 246
500 1.50 × 10-4 307
600 1.80 × 10-4 369
700 2.10 × 10-4 430
800 2.41 × 10-4 492
900 2.71 × 10-4 553
1000 3.01 × 10-4 615
2000 6.01 × 10-4 1230
3000 9.02 × 10-4 1840
4000 0.00120 2460
5000 0.00150 3070
6000 0.00180 3690
7000 0.00210 4300
8000 0.00241 4920
9000 0.00271 5530
1.00 × 104 0.00301 6150
2.00 × 104 0.00601 1.23 × 104
3.00 × 104 0.00902 1.84 × 104
4.00 × 104 0.0120 2.46 × 104
5.00 × 104 0.0150 3.07 × 104
6.00 × 104 0.0180 3.69 × 104
7.00 × 104 0.0210 4.30 × 104
8.00 × 104 0.0241 4.92 × 104
9.00 × 104 0.0271 5.53 × 104
1.00 × 105 0.0301 6.15 × 104
2.00 × 105 0.0601 1.23 × 105
3.00 × 105 0.0902 1.84 × 105
4.00 × 105 0.120 2.46 × 105
4.83 × 105 0.145 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 4.41 × 10-5 32.5
20.0 4.64 × 10-5 34.2
30.0 6.96 × 10-5 51.2
40.0 9.28 × 10-5 68.3
50.0 1.16 × 10-4 85.4
60.0 1.39 × 10-4 102
70.0 1.62 × 10-4 120
80.0 1.86 × 10-4 137
90.0 2.09 × 10-4 154
100 2.32 × 10-4 171
200 4.64 × 10-4 342
300 6.96 × 10-4 512
400 9.28 × 10-4 683
500 0.00116 854
600 0.00139 1020
700 0.00162 1200
800 0.00186 1370
900 0.00209 1540
1000 0.00232 1710
2000 0.00464 3420
3000 0.00696 5120
4000 0.00928 6830
5000 0.0116 8540
6000 0.0139 1.02 × 104
7000 0.0162 1.20 × 104
8000 0.0186 1.37 × 104
9000 0.0209 1.54 × 104
1.00 × 104 0.0232 1.71 × 104
2.00 × 104 0.0464 3.42 × 104
3.00 × 104 0.0696 5.12 × 104
4.00 × 104 0.0928 6.83 × 104
5.00 × 104 0.116 8.54 × 104
6.00 × 104 0.139 1.02 × 105
7.00 × 104 0.162 1.20 × 105
8.00 × 104 0.186 1.37 × 105
9.00 × 104 0.209 1.54 × 105
1.00 × 105 0.232 1.71 × 105
1.74 × 105 0.403 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 7.05 × 10-4 130
20.0 7.42 × 10-4 137
30.0 0.00111 205
40.0 0.00148 273
50.0 0.00186 342
60.0 0.00223 410
70.0 0.00260 478
80.0 0.00297 547
90.0 0.00334 615
100 0.00371 683
200 0.00742 1370
300 0.0111 2050
400 0.0148 2730
500 0.0186 3420
600 0.0223 4100
700 0.0260 4780
800 0.0297 5470
900 0.0334 6150
1000 0.0371 6830
2000 0.0742 1.37 × 104
3000 0.111 2.05 × 104
4000 0.148 2.73 × 104
5000 0.186 3.42 × 104
6000 0.223 4.10 × 104
7000 0.260 4.78 × 104
8000 0.297 5.47 × 104
9000 0.334 6.15 × 104
1.00 × 104 0.371 6.83 × 104
2.00 × 104 0.742 1.37 × 105
3.00 × 104 1.11 2.05 × 105
4.00 × 104 1.48 2.73 × 105
4.35 × 104 1.61 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 0.00357 292
20.0 0.00376 307
30.0 0.00564 461
40.0 0.00752 615
50.0 0.00939 769
60.0 0.0113 922
70.0 0.0132 1080
80.0 0.0150 1230
90.0 0.0169 1380
100 0.0188 1540
200 0.0376 3070
300 0.0564 4610
400 0.0752 6150
500 0.0939 7690
600 0.113 9220
700 0.132 1.08 × 104
800 0.150 1.23 × 104
900 0.169 1.38 × 104
1000 0.188 1.54 × 104
2000 0.376 3.07 × 104
3000 0.564 4.61 × 104
4000 0.752 6.15 × 104
5000 0.939 7.69 × 104
6000 1.13 9.22 × 104
7000 1.32 1.08 × 105
8000 1.50 1.23 × 105
9000 1.69 1.38 × 105
1.00 × 104 1.88 1.54 × 105
1.93 × 104 3.63 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 0.0113 519
20.0 0.0119 547
30.0 0.0178 820
40.0 0.0238 1090
50.0 0.0297 1370
60.0 0.0356 1640
70.0 0.0416 1910
80.0 0.0475 2190
90.0 0.0534 2460
100 0.0594 2730
200 0.119 5470
300 0.178 8200
400 0.238 1.09 × 104
500 0.297 1.37 × 104
600 0.356 1.64 × 104
700 0.416 1.91 × 104
800 0.475 2.19 × 104
900 0.534 2.46 × 104
1000 0.594 2.73 × 104
2000 1.19 5.47 × 104
3000 1.78 8.20 × 104
4000 2.38 1.09 × 105
5000 2.97 1.37 × 105
6000 3.56 1.64 × 105
7000 4.16 1.91 × 105
8000 4.75 2.19 × 105
9000 5.34 2.46 × 105
1.00 × 104 5.94 2.73 × 105
1.09 × 104 6.45 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 0.0275 811
20.0 0.0290 854
30.0 0.0435 1280
40.0 0.0580 1710
50.0 0.0725 2140
60.0 0.0870 2560
70.0 0.101 2990
80.0 0.116 3420
90.0 0.130 3840
100 0.145 4270
200 0.290 8540
300 0.435 1.28 × 104
400 0.580 1.71 × 104
500 0.725 2.14 × 104
600 0.870 2.56 × 104
700 1.01 2.99 × 104
800 1.16 3.42 × 104
900 1.30 3.84 × 104
1000 1.45 4.27 × 104
2000 2.90 8.54 × 104
3000 4.35 1.28 × 105
4000 5.80 1.71 × 105
5000 7.25 2.14 × 105
6000 8.70 2.56 × 105
6960 10.1 2.97 × 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 0.0571 1170
20.0 0.0601 1230
30.0 0.0902 1840
40.0 0.120 2460
50.0 0.150 3070
60.0 0.180 3690
70.0 0.210 4300
80.0 0.241 4920
90.0 0.271 5530
100 0.301 6150
200 0.601 1.23 × 104
300 0.902 1.84 × 104
400 1.20 2.46 × 104
500 1.50 3.07 × 104
600 1.80 3.69 × 104
700 2.10 4.30 × 104
800 2.41 4.92 × 104
900 2.71 5.53 × 104
1000 3.01 6.15 × 104
2000 6.01 1.23 × 105
3000 9.02 1.84 × 105
3410 10.2 2.09 × 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 0.181 2080
20.0 0.190 2190
30.0 0.285 3280
40.0 0.380 4370
50.0 0.475 5470
60.0 0.570 6560
70.0 0.665 7650
80.0 0.760 8750
90.0 0.855 9840
100 0.950 1.09 × 104
200 1.90 2.19 × 104
300 2.85 3.28 × 104
400 3.80 4.37 × 104
500 4.75 5.47 × 104
600 5.70 6.56 × 104
700 6.65 7.65 × 104
800 7.60 8.75 × 104
900 8.55 9.84 × 104
1000 9.50 1.09 × 105
1080 10.2 1.18 × 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 0.441 3250
20.0 0.464 3420
30.0 0.696 5120
40.0 0.928 6830
50.0 1.16 8540
60.0 1.39 1.02 × 104
70.0 1.62 1.20 × 104
80.0 1.86 1.37 × 104
90.0 2.09 1.54 × 104
100 2.32 1.71 × 104
200 4.64 3.42 × 104
300 6.96 5.12 × 104
400 9.28 6.83 × 104
441 10.2 7.54 × 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 0.914 4670
20.0 0.962 4920
30.0 1.44 7380
40.0 1.92 9840
50.0 2.41 1.23 × 104
60.0 2.89 1.48 × 104
70.0 3.37 1.72 × 104
80.0 3.85 1.97 × 104
90.0 4.33 2.21 × 104
100 4.81 2.46 × 104
200 9.62 4.92 × 104
213 10.2 5.24 × 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 1.69 6360
20.0 1.78 6700
30.0 2.67 1.00 × 104
40.0 3.56 1.34 × 104
50.0 4.46 1.67 × 104
60.0 5.35 2.01 × 104
70.0 6.24 2.34 × 104
80.0 7.13 2.68 × 104
90.0 8.02 3.01 × 104
100 8.91 3.35 × 104
115 10.2 3.85 × 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 2.89 8310
20.0 3.04 8750
30.0 4.56 1.31 × 104
40.0 6.08 1.75 × 104
50.0 7.60 2.19 × 104
60.0 9.12 2.62 × 104
67.4 10.2 2.95 × 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 4.63 1.05 × 104
20.0 4.87 1.11 × 104
30.0 7.31 1.66 × 104
40.0 9.74 2.21 × 104
42.1 10.2 2.33 × 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 7.05 1.30 × 104
20.0 7.42 1.37 × 104
27.6 10.2 1.89 × 104
Additional Information
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Optimize your designs, reduce machining time, and lower your costs.

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