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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W5 × 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 = 26.2 in4) for the W5 × 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
   
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 2.10 × 10-5 21.6
20.0 2.21 × 10-5 22.7
30.0 3.32 × 10-5 34.1
40.0 4.42 × 10-5 45.5
50.0 5.53 × 10-5 56.8
60.0 6.63 × 10-5 68.2
70.0 7.74 × 10-5 79.6
80.0 8.84 × 10-5 90.9
90.0 9.95 × 10-5 102
100 1.11 × 10-4 114
200 2.21 × 10-4 227
300 3.32 × 10-4 341
400 4.42 × 10-4 455
500 5.53 × 10-4 568
600 6.63 × 10-4 682
700 7.74 × 10-4 796
800 8.84 × 10-4 909
900 9.95 × 10-4 1020
1000 0.00111 1140
2000 0.00221 2270
3000 0.00332 3410
4000 0.00442 4550
5000 0.00553 5680
6000 0.00663 6820
7000 0.00774 7960
8000 0.00884 9090
9000 0.00995 1.02 × 104
1.00 × 104 0.0111 1.14 × 104
2.00 × 104 0.0221 2.27 × 104
3.00 × 104 0.0332 3.41 × 104
4.00 × 104 0.0442 4.55 × 104
5.00 × 104 0.0553 5.68 × 104
6.00 × 104 0.0663 6.82 × 104
7.00 × 104 0.0774 7.96 × 104
8.00 × 104 0.0884 9.09 × 104
9.00 × 104 0.0995 1.02 × 105
1.00 × 105 0.111 1.14 × 105
2.00 × 105 0.221 2.27 × 105
2.61 × 105 0.289 2.97 × 105
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 1.62 × 10-4 60.0
20.0 1.71 × 10-4 63.2
30.0 2.56 × 10-4 94.7
40.0 3.41 × 10-4 126
50.0 4.26 × 10-4 158
60.0 5.12 × 10-4 189
70.0 5.97 × 10-4 221
80.0 6.82 × 10-4 253
90.0 7.67 × 10-4 284
100 8.53 × 10-4 316
200 0.00171 632
300 0.00256 947
400 0.00341 1260
500 0.00426 1580
600 0.00512 1890
700 0.00597 2210
800 0.00682 2530
900 0.00767 2840
1000 0.00853 3160
2000 0.0171 6320
3000 0.0256 9470
4000 0.0341 1.26 × 104
5000 0.0426 1.58 × 104
6000 0.0512 1.89 × 104
7000 0.0597 2.21 × 104
8000 0.0682 2.53 × 104
9000 0.0767 2.84 × 104
1.00 × 104 0.0853 3.16 × 104
2.00 × 104 0.171 6.32 × 104
3.00 × 104 0.256 9.47 × 104
4.00 × 104 0.341 1.26 × 105
5.00 × 104 0.426 1.58 × 105
6.00 × 104 0.512 1.89 × 105
7.00 × 104 0.597 2.21 × 105
8.00 × 104 0.682 2.53 × 105
9.00 × 104 0.767 2.84 × 105
9.41 × 104 0.802 2.97 × 105
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.00259 240
20.0 0.00273 253
30.0 0.00409 379
40.0 0.00546 505
50.0 0.00682 632
60.0 0.00819 758
70.0 0.00955 884
80.0 0.0109 1010
90.0 0.0123 1140
100 0.0136 1260
200 0.0273 2530
300 0.0409 3790
400 0.0546 5050
500 0.0682 6320
600 0.0819 7580
700 0.0955 8840
800 0.109 1.01 × 104
900 0.123 1.14 × 104
1000 0.136 1.26 × 104
2000 0.273 2.53 × 104
3000 0.409 3.79 × 104
4000 0.546 5.05 × 104
5000 0.682 6.32 × 104
6000 0.819 7.58 × 104
7000 0.955 8.84 × 104
8000 1.09 1.01 × 105
9000 1.23 1.14 × 105
1.00 × 104 1.36 1.26 × 105
2.00 × 104 2.73 2.53 × 105
2.35 × 104 3.21 2.97 × 105
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.0131 540
20.0 0.0138 568
30.0 0.0207 853
40.0 0.0276 1140
50.0 0.0345 1420
60.0 0.0414 1710
70.0 0.0483 1990
80.0 0.0553 2270
90.0 0.0622 2560
100 0.0691 2840
200 0.138 5680
300 0.207 8530
400 0.276 1.14 × 104
500 0.345 1.42 × 104
600 0.414 1.71 × 104
700 0.483 1.99 × 104
800 0.553 2.27 × 104
900 0.622 2.56 × 104
1000 0.691 2.84 × 104
2000 1.38 5.68 × 104
3000 2.07 8.53 × 104
4000 2.76 1.14 × 105
5000 3.45 1.42 × 105
6000 4.14 1.71 × 105
7000 4.83 1.99 × 105
7460 5.15 2.12 × 105
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.0415 960
20.0 0.0437 1010
30.0 0.0655 1520
40.0 0.0873 2020
50.0 0.109 2530
60.0 0.131 3030
70.0 0.153 3540
80.0 0.175 4040
90.0 0.196 4550
100 0.218 5050
200 0.437 1.01 × 104
300 0.655 1.52 × 104
400 0.873 2.02 × 104
500 1.09 2.53 × 104
600 1.31 3.03 × 104
700 1.53 3.54 × 104
800 1.75 4.04 × 104
900 1.96 4.55 × 104
1000 2.18 5.05 × 104
2000 4.37 1.01 × 105
2360 5.15 1.19 × 105
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.101 1500
20.0 0.107 1580
30.0 0.160 2370
40.0 0.213 3160
50.0 0.266 3950
60.0 0.320 4740
70.0 0.373 5530
80.0 0.426 6320
90.0 0.480 7110
100 0.533 7890
200 1.07 1.58 × 104
300 1.60 2.37 × 104
400 2.13 3.16 × 104
500 2.66 3.95 × 104
600 3.20 4.74 × 104
700 3.73 5.53 × 104
800 4.26 6.32 × 104
900 4.80 7.11 × 104
966 5.15 7.63 × 104
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.210 2160
20.0 0.221 2270
30.0 0.332 3410
40.0 0.442 4550
50.0 0.553 5680
60.0 0.663 6820
70.0 0.774 7960
80.0 0.884 9090
90.0 0.995 1.02 × 104
100 1.11 1.14 × 104
200 2.21 2.27 × 104
300 3.32 3.41 × 104
400 4.42 4.55 × 104
466 5.15 5.30 × 104
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.664 3840
20.0 0.698 4040
30.0 1.05 6060
40.0 1.40 8080
50.0 1.75 1.01 × 104
60.0 2.10 1.21 × 104
70.0 2.44 1.41 × 104
80.0 2.79 1.62 × 104
90.0 3.14 1.82 × 104
100 3.49 2.02 × 104
147 5.15 2.98 × 104
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 1.62 6000
20.0 1.71 6320
30.0 2.56 9470
40.0 3.41 1.26 × 104
50.0 4.26 1.58 × 104
60.0 5.12 1.89 × 104
60.4 5.15 1.91 × 104
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 3.36 8640
20.0 3.54 9090
29.1 5.15 1.32 × 104
Additional Information
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Essentials of Manufacturing

Information, coverage of important developments and expert commentary in manufacturing.

Injection Molding Design Guide

Guide for high quality and cost-effective plastic injection molding.

STEM Career Outlook

Wages, employment opportunities, and growth projections for STEM jobs.

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Discover how to choose the right 3D printer for your needs and the key performance attributes to consider.

more publications