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Wide Flange Steel I Beam: W16 × 57
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 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 = 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 2.18 × 10-6 7.15
60.0 2.29 × 10-6 7.52
70.0 2.67 × 10-6 8.78
80.0 3.06 × 10-6 10.0
90.0 3.44 × 10-6 11.3
100 3.82 × 10-6 12.5
200 7.64 × 10-6 25.1
300 1.15 × 10-5 37.6
400 1.53 × 10-5 50.1
500 1.91 × 10-5 62.7
600 2.29 × 10-5 75.2
700 2.67 × 10-5 87.8
800 3.06 × 10-5 100
900 3.44 × 10-5 113
1000 3.82 × 10-5 125
2000 7.64 × 10-5 251
3000 1.15 × 10-4 376
4000 1.53 × 10-4 501
5000 1.91 × 10-4 627
6000 2.29 × 10-4 752
7000 2.67 × 10-4 878
8000 3.06 × 10-4 1000
9000 3.44 × 10-4 1130
1.00 × 104 3.82 × 10-4 1250
2.00 × 104 7.64 × 10-4 2510
3.00 × 104 0.00115 3760
4.00 × 104 0.00153 5010
5.00 × 104 0.00191 6270
6.00 × 104 0.00229 7520
7.00 × 104 0.00267 8780
8.00 × 104 0.00306 1.00 × 104
9.00 × 104 0.00344 1.13 × 104
1.00 × 105 0.00382 1.25 × 104
2.00 × 105 0.00764 2.51 × 104
3.00 × 105 0.0115 3.76 × 104
4.00 × 105 0.0153 5.01 × 104
5.00 × 105 0.0191 6.27 × 104
6.00 × 105 0.0229 7.52 × 104
7.00 × 105 0.0267 8.78 × 104
8.00 × 105 0.0306 1.00 × 105
9.00 × 105 0.0344 1.13 × 105
1.00 × 106 0.0382 1.25 × 105
2.00 × 106 0.0764 2.51 × 105
2.37 × 106 0.0905 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 1.68 × 10-5 19.8
60.0 1.77 × 10-5 20.9
70.0 2.06 × 10-5 24.4
80.0 2.36 × 10-5 27.9
90.0 2.65 × 10-5 31.3
100 2.95 × 10-5 34.8
200 5.89 × 10-5 69.6
300 8.84 × 10-5 104
400 1.18 × 10-4 139
500 1.47 × 10-4 174
600 1.77 × 10-4 209
700 2.06 × 10-4 244
800 2.36 × 10-4 279
900 2.65 × 10-4 313
1000 2.95 × 10-4 348
2000 5.89 × 10-4 696
3000 8.84 × 10-4 1040
4000 0.00118 1390
5000 0.00147 1740
6000 0.00177 2090
7000 0.00206 2440
8000 0.00236 2790
9000 0.00265 3130
1.00 × 104 0.00295 3480
2.00 × 104 0.00589 6960
3.00 × 104 0.00884 1.04 × 104
4.00 × 104 0.0118 1.39 × 104
5.00 × 104 0.0147 1.74 × 104
6.00 × 104 0.0177 2.09 × 104
7.00 × 104 0.0206 2.44 × 104
8.00 × 104 0.0236 2.79 × 104
9.00 × 104 0.0265 3.13 × 104
1.00 × 105 0.0295 3.48 × 104
2.00 × 105 0.0589 6.96 × 104
3.00 × 105 0.0884 1.04 × 105
4.00 × 105 0.118 1.39 × 105
5.00 × 105 0.147 1.74 × 105
6.00 × 105 0.177 2.09 × 105
7.00 × 105 0.206 2.44 × 105
8.00 × 105 0.236 2.79 × 105
8.53 × 105 0.251 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 2.69 × 10-4 79.4
60.0 2.83 × 10-4 83.6
70.0 3.30 × 10-4 97.5
80.0 3.77 × 10-4 111
90.0 4.24 × 10-4 125
100 4.72 × 10-4 139
200 9.43 × 10-4 279
300 0.00141 418
400 0.00189 557
500 0.00236 696
600 0.00283 836
700 0.00330 975
800 0.00377 1110
900 0.00424 1250
1000 0.00472 1390
2000 0.00943 2790
3000 0.0141 4180
4000 0.0189 5570
5000 0.0236 6960
6000 0.0283 8360
7000 0.0330 9750
8000 0.0377 1.11 × 104
9000 0.0424 1.25 × 104
1.00 × 104 0.0472 1.39 × 104
2.00 × 104 0.0943 2.79 × 104
3.00 × 104 0.141 4.18 × 104
4.00 × 104 0.189 5.57 × 104
5.00 × 104 0.236 6.96 × 104
6.00 × 104 0.283 8.36 × 104
7.00 × 104 0.330 9.75 × 104
8.00 × 104 0.377 1.11 × 105
9.00 × 104 0.424 1.25 × 105
1.00 × 105 0.472 1.39 × 105
2.00 × 105 0.943 2.79 × 105
2.13 × 105 1.01 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 0.00136 179
60.0 0.00143 188
70.0 0.00167 219
80.0 0.00191 251
90.0 0.00215 282
100 0.00239 313
200 0.00477 627
300 0.00716 940
400 0.00955 1250
500 0.0119 1570
600 0.0143 1880
700 0.0167 2190
800 0.0191 2510
900 0.0215 2820
1000 0.0239 3130
2000 0.0477 6270
3000 0.0716 9400
4000 0.0955 1.25 × 104
5000 0.119 1.57 × 104
6000 0.143 1.88 × 104
7000 0.167 2.19 × 104
8000 0.191 2.51 × 104
9000 0.215 2.82 × 104
1.00 × 104 0.239 3.13 × 104
2.00 × 104 0.477 6.27 × 104
3.00 × 104 0.716 9.40 × 104
4.00 × 104 0.955 1.25 × 105
5.00 × 104 1.19 1.57 × 105
6.00 × 104 1.43 1.88 × 105
7.00 × 104 1.67 2.19 × 105
8.00 × 104 1.91 2.51 × 105
9.00 × 104 2.15 2.82 × 105
9.48 × 104 2.26 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 0.00430 318
60.0 0.00453 334
70.0 0.00528 390
80.0 0.00604 446
90.0 0.00679 501
100 0.00754 557
200 0.0151 1110
300 0.0226 1670
400 0.0302 2230
500 0.0377 2790
600 0.0453 3340
700 0.0528 3900
800 0.0604 4460
900 0.0679 5010
1000 0.0754 5570
2000 0.151 1.11 × 104
3000 0.226 1.67 × 104
4000 0.302 2.23 × 104
5000 0.377 2.79 × 104
6000 0.453 3.34 × 104
7000 0.528 3.90 × 104
8000 0.604 4.46 × 104
9000 0.679 5.01 × 104
1.00 × 104 0.754 5.57 × 104
2.00 × 104 1.51 1.11 × 105
3.00 × 104 2.26 1.67 × 105
4.00 × 104 3.02 2.23 × 105
5.00 × 104 3.77 2.79 × 105
5.33 × 104 4.02 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 0.0105 496
60.0 0.0111 522
70.0 0.0129 609
80.0 0.0147 696
90.0 0.0166 783
100 0.0184 871
200 0.0368 1740
300 0.0553 2610
400 0.0737 3480
500 0.0921 4350
600 0.111 5220
700 0.129 6090
800 0.147 6960
900 0.166 7830
1000 0.184 8710
2000 0.368 1.74 × 104
3000 0.553 2.61 × 104
4000 0.737 3.48 × 104
5000 0.921 4.35 × 104
6000 1.11 5.22 × 104
7000 1.29 6.09 × 104
8000 1.47 6.96 × 104
9000 1.66 7.83 × 104
1.00 × 104 1.84 8.71 × 104
2.00 × 104 3.68 1.74 × 105
3.00 × 104 5.53 2.61 × 105
3.41 × 104 6.28 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 0.0218 715
60.0 0.0229 752
70.0 0.0267 878
80.0 0.0306 1000
90.0 0.0344 1130
100 0.0382 1250
200 0.0764 2510
300 0.115 3760
400 0.153 5010
500 0.191 6270
600 0.229 7520
700 0.267 8780
800 0.306 1.00 × 104
900 0.344 1.13 × 104
1000 0.382 1.25 × 104
2000 0.764 2.51 × 104
3000 1.15 3.76 × 104
4000 1.53 5.01 × 104
5000 1.91 6.27 × 104
6000 2.29 7.52 × 104
7000 2.67 8.78 × 104
8000 3.06 1.00 × 105
9000 3.44 1.13 × 105
1.00 × 104 3.82 1.25 × 105
2.00 × 104 7.64 2.51 × 105
2.37 × 104 9.05 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 0.0688 1270
60.0 0.0724 1340
70.0 0.0845 1560
80.0 0.0966 1780
90.0 0.109 2010
100 0.121 2230
200 0.241 4460
300 0.362 6690
400 0.483 8910
500 0.604 1.11 × 104
600 0.724 1.34 × 104
700 0.845 1.56 × 104
800 0.966 1.78 × 104
900 1.09 2.01 × 104
1000 1.21 2.23 × 104
2000 2.41 4.46 × 104
3000 3.62 6.69 × 104
4000 4.83 8.91 × 104
5000 6.04 1.11 × 105
6000 7.24 1.34 × 105
7000 8.45 1.56 × 105
8000 9.66 1.78 × 105
9000 10.9 2.01 × 105
1.00 × 104 12.1 2.23 × 105
1.33 × 104 16.1 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 0.168 1980
60.0 0.177 2090
70.0 0.206 2440
80.0 0.236 2790
90.0 0.265 3130
100 0.295 3480
200 0.589 6960
300 0.884 1.04 × 104
400 1.18 1.39 × 104
500 1.47 1.74 × 104
600 1.77 2.09 × 104
700 2.06 2.44 × 104
800 2.36 2.79 × 104
900 2.65 3.13 × 104
1000 2.95 3.48 × 104
2000 5.89 6.96 × 104
3000 8.84 1.04 × 105
4000 11.8 1.39 × 105
5000 14.7 1.74 × 105
5570 16.4 1.94 × 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 0.348 2860
60.0 0.367 3010
70.0 0.428 3510
80.0 0.489 4010
90.0 0.550 4510
100 0.611 5010
200 1.22 1.00 × 104
300 1.83 1.50 × 104
400 2.44 2.01 × 104
500 3.06 2.51 × 104
600 3.67 3.01 × 104
700 4.28 3.51 × 104
800 4.89 4.01 × 104
900 5.50 4.51 × 104
1000 6.11 5.01 × 104
2000 12.2 1.00 × 105
2690 16.4 1.35 × 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 0.645 3890
60.0 0.679 4100
70.0 0.793 4780
80.0 0.906 5460
90.0 1.02 6140
100 1.13 6830
200 2.26 1.37 × 104
300 3.40 2.05 × 104
400 4.53 2.73 × 104
500 5.66 3.41 × 104
600 6.79 4.10 × 104
700 7.93 4.78 × 104
800 9.06 5.46 × 104
900 10.2 6.14 × 104
1000 11.3 6.83 × 104
1450 16.4 9.90 × 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 1.10 5080
60.0 1.16 5350
70.0 1.35 6240
80.0 1.55 7130
90.0 1.74 8020
100 1.93 8910
200 3.86 1.78 × 104
300 5.79 2.67 × 104
400 7.73 3.57 × 104
500 9.66 4.46 × 104
600 11.6 5.35 × 104
700 13.5 6.24 × 104
800 15.5 7.13 × 104
851 16.4 7.58 × 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 1.76 6430
60.0 1.86 6770
70.0 2.17 7900
80.0 2.47 9030
90.0 2.78 1.02 × 104
100 3.09 1.13 × 104
200 6.19 2.26 × 104
300 9.28 3.38 × 104
400 12.4 4.51 × 104
500 15.5 5.64 × 104
531 16.4 5.99 × 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 2.69 7940
60.0 2.83 8360
70.0 3.30 9750
80.0 3.77 1.11 × 104
90.0 4.24 1.25 × 104
100 4.72 1.39 × 104
200 9.43 2.79 × 104
300 14.1 4.18 × 104
348 16.4 4.85 × 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 6.56 1.24 × 104
60.0 6.91 1.31 × 104
70.0 8.06 1.52 × 104
80.0 9.21 1.74 × 104
90.0 10.4 1.96 × 104
100 11.5 2.18 × 104
143 16.4 3.11 × 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 13.6 1.79 × 104
60.0 14.3 1.88 × 104
68.8 16.4 2.16 × 104
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