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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W16 × 50
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 = 659 in4) for the W16 × 50 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
L = 125 ft
L = 150 ft
   
Steel I Beam: W16 × 50 (Wide Flange 16 inch tall × 50 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 2.20 × 10-6 7.13
60.0 2.64 × 10-6 8.56
70.0 3.08 × 10-6 9.99
80.0 3.51 × 10-6 11.4
90.0 3.95 × 10-6 12.8
100 4.39 × 10-6 14.3
200 8.79 × 10-6 28.5
300 1.32 × 10-5 42.8
400 1.76 × 10-5 57.1
500 2.20 × 10-5 71.3
600 2.64 × 10-5 85.6
700 3.08 × 10-5 99.9
800 3.51 × 10-5 114
900 3.95 × 10-5 128
1000 4.39 × 10-5 143
2000 8.79 × 10-5 285
3000 1.32 × 10-4 428
4000 1.76 × 10-4 571
5000 2.20 × 10-4 713
6000 2.64 × 10-4 856
7000 3.08 × 10-4 999
8000 3.51 × 10-4 1140
9000 3.95 × 10-4 1280
1.00 × 104 4.39 × 10-4 1430
2.00 × 104 8.79 × 10-4 2850
3.00 × 104 0.00132 4280
4.00 × 104 0.00176 5710
5.00 × 104 0.00220 7130
6.00 × 104 0.00264 8560
7.00 × 104 0.00308 9990
8.00 × 104 0.00351 1.14 × 104
9.00 × 104 0.00395 1.28 × 104
1.00 × 105 0.00439 1.43 × 104
2.00 × 105 0.00879 2.85 × 104
3.00 × 105 0.0132 4.28 × 104
4.00 × 105 0.0176 5.71 × 104
5.00 × 105 0.0220 7.13 × 104
6.00 × 105 0.0264 8.56 × 104
7.00 × 105 0.0308 9.99 × 104
8.00 × 105 0.0351 1.14 × 105
9.00 × 105 0.0395 1.28 × 105
1.00 × 106 0.0439 1.43 × 105
2.00 × 106 0.0879 2.85 × 105
2.08 × 106 0.0914 2.97 × 105
Steel I Beam: W16 × 50 (Wide Flange 16 inch tall × 50 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 1.69 × 10-5 19.8
60.0 2.03 × 10-5 23.8
70.0 2.37 × 10-5 27.7
80.0 2.71 × 10-5 31.7
90.0 3.05 × 10-5 35.7
100 3.39 × 10-5 39.6
200 6.78 × 10-5 79.3
300 1.02 × 10-4 119
400 1.36 × 10-4 159
500 1.69 × 10-4 198
600 2.03 × 10-4 238
700 2.37 × 10-4 277
800 2.71 × 10-4 317
900 3.05 × 10-4 357
1000 3.39 × 10-4 396
2000 6.78 × 10-4 793
3000 0.00102 1190
4000 0.00136 1590
5000 0.00169 1980
6000 0.00203 2380
7000 0.00237 2770
8000 0.00271 3170
9000 0.00305 3570
1.00 × 104 0.00339 3960
2.00 × 104 0.00678 7930
3.00 × 104 0.0102 1.19 × 104
4.00 × 104 0.0136 1.59 × 104
5.00 × 104 0.0169 1.98 × 104
6.00 × 104 0.0203 2.38 × 104
7.00 × 104 0.0237 2.77 × 104
8.00 × 104 0.0271 3.17 × 104
9.00 × 104 0.0305 3.57 × 104
1.00 × 105 0.0339 3.96 × 104
2.00 × 105 0.0678 7.93 × 104
3.00 × 105 0.102 1.19 × 105
4.00 × 105 0.136 1.59 × 105
5.00 × 105 0.169 1.98 × 105
6.00 × 105 0.203 2.38 × 105
7.00 × 105 0.237 2.77 × 105
7.49 × 105 0.254 2.97 × 105
Steel I Beam: W16 × 50 (Wide Flange 16 inch tall × 50 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 2.71 × 10-4 79.3
60.0 3.25 × 10-4 95.1
70.0 3.80 × 10-4 111
80.0 4.34 × 10-4 127
90.0 4.88 × 10-4 143
100 5.42 × 10-4 159
200 0.00108 317
300 0.00163 476
400 0.00217 634
500 0.00271 793
600 0.00325 951
700 0.00380 1110
800 0.00434 1270
900 0.00488 1430
1000 0.00542 1590
2000 0.0108 3170
3000 0.0163 4760
4000 0.0217 6340
5000 0.0271 7930
6000 0.0325 9510
7000 0.0380 1.11 × 104
8000 0.0434 1.27 × 104
9000 0.0488 1.43 × 104
1.00 × 104 0.0542 1.59 × 104
2.00 × 104 0.108 3.17 × 104
3.00 × 104 0.163 4.76 × 104
4.00 × 104 0.217 6.34 × 104
5.00 × 104 0.271 7.93 × 104
6.00 × 104 0.325 9.51 × 104
7.00 × 104 0.380 1.11 × 105
8.00 × 104 0.434 1.27 × 105
9.00 × 104 0.488 1.43 × 105
1.00 × 105 0.542 1.59 × 105
1.87 × 105 1.02 2.97 × 105
Steel I Beam: W16 × 50 (Wide Flange 16 inch tall × 50 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.00137 178
60.0 0.00165 214
70.0 0.00192 250
80.0 0.00220 285
90.0 0.00247 321
100 0.00275 357
200 0.00549 713
300 0.00824 1070
400 0.0110 1430
500 0.0137 1780
600 0.0165 2140
700 0.0192 2500
800 0.0220 2850
900 0.0247 3210
1000 0.0275 3570
2000 0.0549 7130
3000 0.0824 1.07 × 104
4000 0.110 1.43 × 104
5000 0.137 1.78 × 104
6000 0.165 2.14 × 104
7000 0.192 2.50 × 104
8000 0.220 2.85 × 104
9000 0.247 3.21 × 104
1.00 × 104 0.275 3.57 × 104
2.00 × 104 0.549 7.13 × 104
3.00 × 104 0.824 1.07 × 105
4.00 × 104 1.10 1.43 × 105
5.00 × 104 1.37 1.78 × 105
6.00 × 104 1.65 2.14 × 105
7.00 × 104 1.92 2.50 × 105
8.00 × 104 2.20 2.85 × 105
8.33 × 104 2.29 2.97 × 105
Steel I Beam: W16 × 50 (Wide Flange 16 inch tall × 50 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.00434 317
60.0 0.00521 381
70.0 0.00607 444
80.0 0.00694 507
90.0 0.00781 571
100 0.00868 634
200 0.0174 1270
300 0.0260 1900
400 0.0347 2540
500 0.0434 3170
600 0.0521 3810
700 0.0607 4440
800 0.0694 5070
900 0.0781 5710
1000 0.0868 6340
2000 0.174 1.27 × 104
3000 0.260 1.90 × 104
4000 0.347 2.54 × 104
5000 0.434 3.17 × 104
6000 0.521 3.81 × 104
7000 0.607 4.44 × 104
8000 0.694 5.07 × 104
9000 0.781 5.71 × 104
1.00 × 104 0.868 6.34 × 104
2.00 × 104 1.74 1.27 × 105
3.00 × 104 2.60 1.90 × 105
4.00 × 104 3.47 2.54 × 105
4.68 × 104 4.06 2.97 × 105
Steel I Beam: W16 × 50 (Wide Flange 16 inch tall × 50 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0106 495
60.0 0.0127 595
70.0 0.0148 694
80.0 0.0169 793
90.0 0.0191 892
100 0.0212 991
200 0.0424 1980
300 0.0636 2970
400 0.0847 3960
500 0.106 4950
600 0.127 5950
700 0.148 6940
800 0.169 7930
900 0.191 8920
1000 0.212 9910
2000 0.424 1.98 × 104
3000 0.636 2.97 × 104
4000 0.847 3.96 × 104
5000 1.06 4.95 × 104
6000 1.27 5.95 × 104
7000 1.48 6.94 × 104
8000 1.69 7.93 × 104
9000 1.91 8.92 × 104
1.00 × 104 2.12 9.91 × 104
2.00 × 104 4.24 1.98 × 105
3.00 × 104 6.35 2.97 × 105
Steel I Beam: W16 × 50 (Wide Flange 16 inch tall × 50 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0220 713
60.0 0.0264 856
70.0 0.0308 999
80.0 0.0351 1140
90.0 0.0395 1280
100 0.0439 1430
200 0.0879 2850
300 0.132 4280
400 0.176 5710
500 0.220 7130
600 0.264 8560
700 0.308 9990
800 0.351 1.14 × 104
900 0.395 1.28 × 104
1000 0.439 1.43 × 104
2000 0.879 2.85 × 104
3000 1.32 4.28 × 104
4000 1.76 5.71 × 104
5000 2.20 7.13 × 104
6000 2.64 8.56 × 104
7000 3.08 9.99 × 104
8000 3.51 1.14 × 105
9000 3.95 1.28 × 105
1.00 × 104 4.39 1.43 × 105
2.00 × 104 8.79 2.85 × 105
2.08 × 104 9.14 2.97 × 105
Steel I Beam: W16 × 50 (Wide Flange 16 inch tall × 50 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0694 1270
60.0 0.0833 1520
70.0 0.0972 1780
80.0 0.111 2030
90.0 0.125 2280
100 0.139 2540
200 0.278 5070
300 0.417 7610
400 0.555 1.01 × 104
500 0.694 1.27 × 104
600 0.833 1.52 × 104
700 0.972 1.78 × 104
800 1.11 2.03 × 104
900 1.25 2.28 × 104
1000 1.39 2.54 × 104
2000 2.78 5.07 × 104
3000 4.17 7.61 × 104
4000 5.55 1.01 × 105
5000 6.94 1.27 × 105
6000 8.33 1.52 × 105
7000 9.72 1.78 × 105
8000 11.1 2.03 × 105
9000 12.5 2.28 × 105
1.00 × 104 13.9 2.54 × 105
1.17 × 104 16.3 2.97 × 105
Steel I Beam: W16 × 50 (Wide Flange 16 inch tall × 50 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.169 1980
60.0 0.203 2380
70.0 0.237 2770
80.0 0.271 3170
90.0 0.305 3570
100 0.339 3960
200 0.678 7930
300 1.02 1.19 × 104
400 1.36 1.59 × 104
500 1.69 1.98 × 104
600 2.03 2.38 × 104
700 2.37 2.77 × 104
800 2.71 3.17 × 104
900 3.05 3.57 × 104
1000 3.39 3.96 × 104
2000 6.78 7.93 × 104
3000 10.2 1.19 × 105
4000 13.6 1.59 × 105
4800 16.3 1.90 × 105
Steel I Beam: W16 × 50 (Wide Flange 16 inch tall × 50 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.351 2850
60.0 0.422 3420
70.0 0.492 4000
80.0 0.562 4570
90.0 0.633 5140
100 0.703 5710
200 1.41 1.14 × 104
300 2.11 1.71 × 104
400 2.81 2.28 × 104
500 3.51 2.85 × 104
600 4.22 3.42 × 104
700 4.92 4.00 × 104
800 5.62 4.57 × 104
900 6.33 5.14 × 104
1000 7.03 5.71 × 104
2000 14.1 1.14 × 105
2310 16.3 1.32 × 105
Steel I Beam: W16 × 50 (Wide Flange 16 inch tall × 50 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.651 3880
60.0 0.781 4660
70.0 0.912 5440
80.0 1.04 6220
90.0 1.17 6990
100 1.30 7770
200 2.60 1.55 × 104
300 3.91 2.33 × 104
400 5.21 3.11 × 104
500 6.51 3.88 × 104
600 7.81 4.66 × 104
700 9.12 5.44 × 104
800 10.4 6.22 × 104
900 11.7 6.99 × 104
1000 13.0 7.77 × 104
1250 16.3 9.70 × 104
Steel I Beam: W16 × 50 (Wide Flange 16 inch tall × 50 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 1.11 5070
60.0 1.33 6090
70.0 1.56 7100
80.0 1.78 8120
90.0 2.00 9130
100 2.22 1.01 × 104
200 4.44 2.03 × 104
300 6.66 3.04 × 104
400 8.89 4.06 × 104
500 11.1 5.07 × 104
600 13.3 6.09 × 104
700 15.6 7.10 × 104
732 16.3 7.43 × 104
Steel I Beam: W16 × 50 (Wide Flange 16 inch tall × 50 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 1.78 6420
60.0 2.14 7710
70.0 2.49 8990
80.0 2.85 1.03 × 104
90.0 3.20 1.16 × 104
100 3.56 1.28 × 104
200 7.12 2.57 × 104
300 10.7 3.85 × 104
400 14.2 5.14 × 104
457 16.3 5.87 × 104
Steel I Beam: W16 × 50 (Wide Flange 16 inch tall × 50 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 2.71 7930
60.0 3.25 9510
70.0 3.80 1.11 × 104
80.0 4.34 1.27 × 104
90.0 4.88 1.43 × 104
100 5.42 1.59 × 104
200 10.8 3.17 × 104
300 16.3 4.75 × 104
Steel I Beam: W16 × 50 (Wide Flange 16 inch tall × 50 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 6.62 1.24 × 104
60.0 7.94 1.49 × 104
70.0 9.27 1.73 × 104
80.0 10.6 1.98 × 104
90.0 11.9 2.23 × 104
100 13.2 2.48 × 104
123 16.3 3.04 × 104
Steel I Beam: W16 × 50 (Wide Flange 16 inch tall × 50 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 13.7 1.78 × 104
59.2 16.3 2.11 × 104
Additional Information
Related Pages
FREE Publications
Salary Expectation

8 things to know about the interview question "What's your salary expectation"?

Selecting the Right 3D Printer

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

Essentials of Manufacturing

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

Metal 3D Printing Design Guide

Direct Metal Laser Sintering (DMLS) 3D printing for parts with reduced cost and little waste.

more publications