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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 three equal spans, we compute the displacement at the middle of the first and the third span and the maximum normal stress stress_max occuring at the second and third support 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 2.27 × 10-5 20.2
20.0 2.39 × 10-5 21.2
30.0 3.58 × 10-5 31.8
40.0 4.77 × 10-5 42.5
50.0 5.96 × 10-5 53.1
60.0 7.16 × 10-5 63.7
70.0 8.35 × 10-5 74.3
80.0 9.54 × 10-5 84.9
90.0 1.07 × 10-4 95.5
100 1.19 × 10-4 106
200 2.39 × 10-4 212
300 3.58 × 10-4 318
400 4.77 × 10-4 425
500 5.96 × 10-4 531
600 7.16 × 10-4 637
700 8.35 × 10-4 743
800 9.54 × 10-4 849
900 0.00107 955
1000 0.00119 1060
2000 0.00239 2120
3000 0.00358 3180
4000 0.00477 4250
5000 0.00596 5310
6000 0.00716 6370
7000 0.00835 7430
8000 0.00954 8490
9000 0.0107 9550
1.00 × 104 0.0119 1.06 × 104
2.00 × 104 0.0239 2.12 × 104
3.00 × 104 0.0358 3.18 × 104
4.00 × 104 0.0477 4.25 × 104
5.00 × 104 0.0596 5.31 × 104
6.00 × 104 0.0716 6.37 × 104
7.00 × 104 0.0835 7.43 × 104
8.00 × 104 0.0954 8.49 × 104
9.00 × 104 0.107 9.55 × 104
1.00 × 105 0.119 1.06 × 105
2.00 × 105 0.239 2.12 × 105
2.80 × 105 0.334 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 1.75 × 10-4 56.0
20.0 1.84 × 10-4 59.0
30.0 2.76 × 10-4 88.5
40.0 3.68 × 10-4 118
50.0 4.60 × 10-4 147
60.0 5.52 × 10-4 177
70.0 6.44 × 10-4 206
80.0 7.36 × 10-4 236
90.0 8.28 × 10-4 265
100 9.20 × 10-4 295
200 0.00184 590
300 0.00276 885
400 0.00368 1180
500 0.00460 1470
600 0.00552 1770
700 0.00644 2060
800 0.00736 2360
900 0.00828 2650
1000 0.00920 2950
2000 0.0184 5900
3000 0.0276 8850
4000 0.0368 1.18 × 104
5000 0.0460 1.47 × 104
6000 0.0552 1.77 × 104
7000 0.0644 2.06 × 104
8000 0.0736 2.36 × 104
9000 0.0828 2.65 × 104
1.00 × 104 0.0920 2.95 × 104
2.00 × 104 0.184 5.90 × 104
3.00 × 104 0.276 8.85 × 104
4.00 × 104 0.368 1.18 × 105
5.00 × 104 0.460 1.47 × 105
6.00 × 104 0.552 1.77 × 105
7.00 × 104 0.644 2.06 × 105
8.00 × 104 0.736 2.36 × 105
9.00 × 104 0.828 2.65 × 105
1.00 × 105 0.920 2.95 × 105
1.01 × 105 0.927 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 0.00280 224
20.0 0.00294 236
30.0 0.00442 354
40.0 0.00589 472
50.0 0.00736 590
60.0 0.00883 708
70.0 0.0103 826
80.0 0.0118 944
90.0 0.0133 1060
100 0.0147 1180
200 0.0294 2360
300 0.0442 3540
400 0.0589 4720
500 0.0736 5900
600 0.0883 7080
700 0.103 8260
800 0.118 9440
900 0.133 1.06 × 104
1000 0.147 1.18 × 104
2000 0.294 2.36 × 104
3000 0.442 3.54 × 104
4000 0.589 4.72 × 104
5000 0.736 5.90 × 104
6000 0.883 7.08 × 104
7000 1.03 8.26 × 104
8000 1.18 9.44 × 104
9000 1.33 1.06 × 105
1.00 × 104 1.47 1.18 × 105
2.00 × 104 2.94 2.36 × 105
2.52 × 104 3.71 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 0.0142 504
20.0 0.0149 531
30.0 0.0224 796
40.0 0.0298 1060
50.0 0.0373 1330
60.0 0.0447 1590
70.0 0.0522 1860
80.0 0.0596 2120
90.0 0.0671 2390
100 0.0745 2650
200 0.149 5310
300 0.224 7960
400 0.298 1.06 × 104
500 0.373 1.33 × 104
600 0.447 1.59 × 104
700 0.522 1.86 × 104
800 0.596 2.12 × 104
900 0.671 2.39 × 104
1000 0.745 2.65 × 104
2000 1.49 5.31 × 104
3000 2.24 7.96 × 104
4000 2.98 1.06 × 105
5000 3.73 1.33 × 105
6000 4.47 1.59 × 105
6910 5.15 1.83 × 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 0.0448 896
20.0 0.0471 944
30.0 0.0707 1420
40.0 0.0942 1890
50.0 0.118 2360
60.0 0.141 2830
70.0 0.165 3300
80.0 0.188 3770
90.0 0.212 4250
100 0.236 4720
200 0.471 9440
300 0.707 1.42 × 104
400 0.942 1.89 × 104
500 1.18 2.36 × 104
600 1.41 2.83 × 104
700 1.65 3.30 × 104
800 1.88 3.77 × 104
900 2.12 4.25 × 104
1000 2.36 4.72 × 104
2000 4.71 9.44 × 104
2190 5.15 1.03 × 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 0.109 1400
20.0 0.115 1470
30.0 0.173 2210
40.0 0.230 2950
50.0 0.288 3690
60.0 0.345 4420
70.0 0.403 5160
80.0 0.460 5900
90.0 0.518 6630
100 0.575 7370
200 1.15 1.47 × 104
300 1.73 2.21 × 104
400 2.30 2.95 × 104
500 2.88 3.69 × 104
600 3.45 4.42 × 104
700 4.03 5.16 × 104
800 4.60 5.90 × 104
895 5.15 6.60 × 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 0.227 2020
20.0 0.239 2120
30.0 0.358 3180
40.0 0.477 4250
50.0 0.596 5310
60.0 0.716 6370
70.0 0.835 7430
80.0 0.954 8490
90.0 1.07 9550
100 1.19 1.06 × 104
200 2.39 2.12 × 104
300 3.58 3.18 × 104
400 4.77 4.25 × 104
432 5.15 4.58 × 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 0.716 3590
20.0 0.754 3770
30.0 1.13 5660
40.0 1.51 7550
50.0 1.88 9440
60.0 2.26 1.13 × 104
70.0 2.64 1.32 × 104
80.0 3.02 1.51 × 104
90.0 3.39 1.70 × 104
100 3.77 1.89 × 104
137 5.15 2.58 × 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 1.75 5600
20.0 1.84 5900
30.0 2.76 8850
40.0 3.68 1.18 × 104
50.0 4.60 1.47 × 104
56.0 5.15 1.65 × 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 3.63 8070
20.0 3.82 8490
27.0 5.15 1.15 × 104
Additional Information
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FREE Publications
Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

STEM Career Outlook

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

Injection Molding Design Guide

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

Mechanical Engineers Outlook

Guide for those interested in becoming a mechanical engineer. Includes qualifications, pay, and job duties.

more publications