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Wide Flange Steel I Beam: W16 × 57
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W16 × 57
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 = 758 in4) for the W16 × 57 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 × 57 (Wide Flange 16 inch tall × 57 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
57.0 2.35 × 10-6 6.67
60.0 2.47 × 10-6 7.02
70.0 2.89 × 10-6 8.19
80.0 3.30 × 10-6 9.36
90.0 3.71 × 10-6 10.5
100 4.12 × 10-6 11.7
200 8.25 × 10-6 23.4
300 1.24 × 10-5 35.1
400 1.65 × 10-5 46.8
500 2.06 × 10-5 58.5
600 2.47 × 10-5 70.2
700 2.89 × 10-5 81.9
800 3.30 × 10-5 93.6
900 3.71 × 10-5 105
1000 4.12 × 10-5 117
2000 8.25 × 10-5 234
3000 1.24 × 10-4 351
4000 1.65 × 10-4 468
5000 2.06 × 10-4 585
6000 2.47 × 10-4 702
7000 2.89 × 10-4 819
8000 3.30 × 10-4 936
9000 3.71 × 10-4 1050
1.00 × 104 4.12 × 10-4 1170
2.00 × 104 8.25 × 10-4 2340
3.00 × 104 0.00124 3510
4.00 × 104 0.00165 4680
5.00 × 104 0.00206 5850
6.00 × 104 0.00247 7020
7.00 × 104 0.00289 8190
8.00 × 104 0.00330 9360
9.00 × 104 0.00371 1.05 × 104
1.00 × 105 0.00412 1.17 × 104
2.00 × 105 0.00825 2.34 × 104
3.00 × 105 0.0124 3.51 × 104
4.00 × 105 0.0165 4.68 × 104
5.00 × 105 0.0206 5.85 × 104
6.00 × 105 0.0247 7.02 × 104
7.00 × 105 0.0289 8.19 × 104
8.00 × 105 0.0330 9.36 × 104
9.00 × 105 0.0371 1.05 × 105
1.00 × 106 0.0412 1.17 × 105
2.00 × 106 0.0825 2.34 × 105
2.54 × 106 0.105 2.97 × 105
Steel I Beam: W16 × 57 (Wide Flange 16 inch tall × 57 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
57.0 1.81 × 10-5 18.5
60.0 1.91 × 10-5 19.5
70.0 2.23 × 10-5 22.8
80.0 2.54 × 10-5 26.0
90.0 2.86 × 10-5 29.3
100 3.18 × 10-5 32.5
200 6.36 × 10-5 65.0
300 9.54 × 10-5 97.5
400 1.27 × 10-4 130
500 1.59 × 10-4 163
600 1.91 × 10-4 195
700 2.23 × 10-4 228
800 2.54 × 10-4 260
900 2.86 × 10-4 293
1000 3.18 × 10-4 325
2000 6.36 × 10-4 650
3000 9.54 × 10-4 975
4000 0.00127 1300
5000 0.00159 1630
6000 0.00191 1950
7000 0.00223 2280
8000 0.00254 2600
9000 0.00286 2930
1.00 × 104 0.00318 3250
2.00 × 104 0.00636 6500
3.00 × 104 0.00954 9750
4.00 × 104 0.0127 1.30 × 104
5.00 × 104 0.0159 1.63 × 104
6.00 × 104 0.0191 1.95 × 104
7.00 × 104 0.0223 2.28 × 104
8.00 × 104 0.0254 2.60 × 104
9.00 × 104 0.0286 2.93 × 104
1.00 × 105 0.0318 3.25 × 104
2.00 × 105 0.0636 6.50 × 104
3.00 × 105 0.0954 9.75 × 104
4.00 × 105 0.127 1.30 × 105
5.00 × 105 0.159 1.63 × 105
6.00 × 105 0.191 1.95 × 105
7.00 × 105 0.223 2.28 × 105
8.00 × 105 0.254 2.60 × 105
9.00 × 105 0.286 2.93 × 105
9.14 × 105 0.291 2.97 × 105
Steel I Beam: W16 × 57 (Wide Flange 16 inch tall × 57 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
57.0 2.90 × 10-4 74.1
60.0 3.05 × 10-4 78.0
70.0 3.56 × 10-4 91.0
80.0 4.07 × 10-4 104
90.0 4.58 × 10-4 117
100 5.09 × 10-4 130
200 0.00102 260
300 0.00153 390
400 0.00204 520
500 0.00254 650
600 0.00305 780
700 0.00356 910
800 0.00407 1040
900 0.00458 1170
1000 0.00509 1300
2000 0.0102 2600
3000 0.0153 3900
4000 0.0204 5200
5000 0.0254 6500
6000 0.0305 7800
7000 0.0356 9100
8000 0.0407 1.04 × 104
9000 0.0458 1.17 × 104
1.00 × 104 0.0509 1.30 × 104
2.00 × 104 0.102 2.60 × 104
3.00 × 104 0.153 3.90 × 104
4.00 × 104 0.204 5.20 × 104
5.00 × 104 0.254 6.50 × 104
6.00 × 104 0.305 7.80 × 104
7.00 × 104 0.356 9.10 × 104
8.00 × 104 0.407 1.04 × 105
9.00 × 104 0.458 1.17 × 105
1.00 × 105 0.509 1.30 × 105
2.00 × 105 1.02 2.60 × 105
2.28 × 105 1.16 2.97 × 105
Steel I Beam: W16 × 57 (Wide Flange 16 inch tall × 57 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
57.0 0.00147 167
60.0 0.00155 176
70.0 0.00180 205
80.0 0.00206 234
90.0 0.00232 263
100 0.00258 293
200 0.00515 585
300 0.00773 878
400 0.0103 1170
500 0.0129 1460
600 0.0155 1760
700 0.0180 2050
800 0.0206 2340
900 0.0232 2630
1000 0.0258 2930
2000 0.0515 5850
3000 0.0773 8780
4000 0.103 1.17 × 104
5000 0.129 1.46 × 104
6000 0.155 1.76 × 104
7000 0.180 2.05 × 104
8000 0.206 2.34 × 104
9000 0.232 2.63 × 104
1.00 × 104 0.258 2.93 × 104
2.00 × 104 0.515 5.85 × 104
3.00 × 104 0.773 8.78 × 104
4.00 × 104 1.03 1.17 × 105
5.00 × 104 1.29 1.46 × 105
6.00 × 104 1.55 1.76 × 105
7.00 × 104 1.80 2.05 × 105
8.00 × 104 2.06 2.34 × 105
9.00 × 104 2.32 2.63 × 105
1.00 × 105 2.58 2.93 × 105
1.02 × 105 2.62 2.97 × 105
Steel I Beam: W16 × 57 (Wide Flange 16 inch tall × 57 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
57.0 0.00464 297
60.0 0.00489 312
70.0 0.00570 364
80.0 0.00651 416
90.0 0.00733 468
100 0.00814 520
200 0.0163 1040
300 0.0244 1560
400 0.0326 2080
500 0.0407 2600
600 0.0489 3120
700 0.0570 3640
800 0.0651 4160
900 0.0733 4680
1000 0.0814 5200
2000 0.163 1.04 × 104
3000 0.244 1.56 × 104
4000 0.326 2.08 × 104
5000 0.407 2.60 × 104
6000 0.489 3.12 × 104
7000 0.570 3.64 × 104
8000 0.651 4.16 × 104
9000 0.733 4.68 × 104
1.00 × 104 0.814 5.20 × 104
2.00 × 104 1.63 1.04 × 105
3.00 × 104 2.44 1.56 × 105
4.00 × 104 3.26 2.08 × 105
5.00 × 104 4.07 2.60 × 105
5.71 × 104 4.65 2.97 × 105
Steel I Beam: W16 × 57 (Wide Flange 16 inch tall × 57 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
57.0 0.0113 463
60.0 0.0119 488
70.0 0.0139 569
80.0 0.0159 650
90.0 0.0179 732
100 0.0199 813
200 0.0398 1630
300 0.0596 2440
400 0.0795 3250
500 0.0994 4060
600 0.119 4880
700 0.139 5690
800 0.159 6500
900 0.179 7320
1000 0.199 8130
2000 0.398 1.63 × 104
3000 0.596 2.44 × 104
4000 0.795 3.25 × 104
5000 0.994 4.06 × 104
6000 1.19 4.88 × 104
7000 1.39 5.69 × 104
8000 1.59 6.50 × 104
9000 1.79 7.32 × 104
1.00 × 104 1.99 8.13 × 104
2.00 × 104 3.98 1.63 × 105
3.00 × 104 5.96 2.44 × 105
3.65 × 104 7.27 2.97 × 105
Steel I Beam: W16 × 57 (Wide Flange 16 inch tall × 57 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
57.0 0.0235 667
60.0 0.0247 702
70.0 0.0289 819
80.0 0.0330 936
90.0 0.0371 1050
100 0.0412 1170
200 0.0825 2340
300 0.124 3510
400 0.165 4680
500 0.206 5850
600 0.247 7020
700 0.289 8190
800 0.330 9360
900 0.371 1.05 × 104
1000 0.412 1.17 × 104
2000 0.825 2.34 × 104
3000 1.24 3.51 × 104
4000 1.65 4.68 × 104
5000 2.06 5.85 × 104
6000 2.47 7.02 × 104
7000 2.89 8.19 × 104
8000 3.30 9.36 × 104
9000 3.71 1.05 × 105
1.00 × 104 4.12 1.17 × 105
2.00 × 104 8.25 2.34 × 105
2.54 × 104 10.5 2.97 × 105
Steel I Beam: W16 × 57 (Wide Flange 16 inch tall × 57 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
57.0 0.0743 1190
60.0 0.0782 1250
70.0 0.0912 1460
80.0 0.104 1660
90.0 0.117 1870
100 0.130 2080
200 0.261 4160
300 0.391 6240
400 0.521 8320
500 0.651 1.04 × 104
600 0.782 1.25 × 104
700 0.912 1.46 × 104
800 1.04 1.66 × 104
900 1.17 1.87 × 104
1000 1.30 2.08 × 104
2000 2.61 4.16 × 104
3000 3.91 6.24 × 104
4000 5.21 8.32 × 104
5000 6.51 1.04 × 105
6000 7.82 1.25 × 105
7000 9.12 1.46 × 105
8000 10.4 1.66 × 105
9000 11.7 1.87 × 105
1.00 × 104 13.0 2.08 × 105
1.43 × 104 18.6 2.97 × 105
Steel I Beam: W16 × 57 (Wide Flange 16 inch tall × 57 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
57.0 0.181 1850
60.0 0.191 1950
70.0 0.223 2280
80.0 0.254 2600
90.0 0.286 2930
100 0.318 3250
200 0.636 6500
300 0.954 9750
400 1.27 1.30 × 104
500 1.59 1.63 × 104
600 1.91 1.95 × 104
700 2.23 2.28 × 104
800 2.54 2.60 × 104
900 2.86 2.93 × 104
1000 3.18 3.25 × 104
2000 6.36 6.50 × 104
3000 9.54 9.75 × 104
4000 12.7 1.30 × 105
5000 15.9 1.63 × 105
5170 16.4 1.68 × 105
Steel I Beam: W16 × 57 (Wide Flange 16 inch tall × 57 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
57.0 0.376 2670
60.0 0.396 2810
70.0 0.462 3280
80.0 0.528 3750
90.0 0.594 4210
100 0.660 4680
200 1.32 9360
300 1.98 1.40 × 104
400 2.64 1.87 × 104
500 3.30 2.34 × 104
600 3.96 2.81 × 104
700 4.62 3.28 × 104
800 5.28 3.75 × 104
900 5.94 4.21 × 104
1000 6.60 4.68 × 104
2000 13.2 9.36 × 104
2490 16.4 1.17 × 105
Steel I Beam: W16 × 57 (Wide Flange 16 inch tall × 57 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
57.0 0.697 3630
60.0 0.733 3820
70.0 0.855 4460
80.0 0.978 5100
90.0 1.10 5740
100 1.22 6370
200 2.44 1.27 × 104
300 3.67 1.91 × 104
400 4.89 2.55 × 104
500 6.11 3.19 × 104
600 7.33 3.82 × 104
700 8.55 4.46 × 104
800 9.78 5.10 × 104
900 11.0 5.74 × 104
1000 12.2 6.37 × 104
1340 16.4 8.57 × 104
Steel I Beam: W16 × 57 (Wide Flange 16 inch tall × 57 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
57.0 1.19 4740
60.0 1.25 4990
70.0 1.46 5830
80.0 1.67 6660
90.0 1.88 7490
100 2.08 8320
200 4.17 1.66 × 104
300 6.25 2.50 × 104
400 8.34 3.33 × 104
500 10.4 4.16 × 104
600 12.5 4.99 × 104
700 14.6 5.83 × 104
788 16.4 6.56 × 104
Steel I Beam: W16 × 57 (Wide Flange 16 inch tall × 57 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
57.0 1.90 6000
60.0 2.00 6320
70.0 2.34 7370
80.0 2.67 8430
90.0 3.01 9480
100 3.34 1.05 × 104
200 6.68 2.11 × 104
300 10.0 3.16 × 104
400 13.4 4.21 × 104
492 16.4 5.18 × 104
Steel I Beam: W16 × 57 (Wide Flange 16 inch tall × 57 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
57.0 2.90 7410
60.0 3.05 7800
70.0 3.56 9100
80.0 4.07 1.04 × 104
90.0 4.58 1.17 × 104
100 5.09 1.30 × 104
200 10.2 2.60 × 104
300 15.3 3.90 × 104
323 16.4 4.20 × 104
Steel I Beam: W16 × 57 (Wide Flange 16 inch tall × 57 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
57.0 7.08 1.16 × 104
60.0 7.46 1.22 × 104
70.0 8.70 1.42 × 104
80.0 9.94 1.63 × 104
90.0 11.2 1.83 × 104
100 12.4 2.03 × 104
132 16.4 2.69 × 104
Steel I Beam: W16 × 57 (Wide Flange 16 inch tall × 57 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
57.0 14.7 1.67 × 104
60.0 15.5 1.76 × 104
63.8 16.4 1.87 × 104
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