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Wide Flange Steel I Beam: W16 × 45
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W16 × 45
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 = 586 in4) for the W16 × 45 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 × 45 (Wide Flange 16 inch tall × 45 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 2.40 × 10-6 6.69
50.0 2.67 × 10-6 7.43
60.0 3.20 × 10-6 8.92
70.0 3.73 × 10-6 10.4
80.0 4.27 × 10-6 11.9
90.0 4.80 × 10-6 13.4
100 5.33 × 10-6 14.9
200 1.07 × 10-5 29.7
300 1.60 × 10-5 44.6
400 2.13 × 10-5 59.5
500 2.67 × 10-5 74.3
600 3.20 × 10-5 89.2
700 3.73 × 10-5 104
800 4.27 × 10-5 119
900 4.80 × 10-5 134
1000 5.33 × 10-5 149
2000 1.07 × 10-4 297
3000 1.60 × 10-4 446
4000 2.13 × 10-4 595
5000 2.67 × 10-4 743
6000 3.20 × 10-4 892
7000 3.73 × 10-4 1040
8000 4.27 × 10-4 1190
9000 4.80 × 10-4 1340
1.00 × 104 5.33 × 10-4 1490
2.00 × 104 0.00107 2970
3.00 × 104 0.00160 4460
4.00 × 104 0.00213 5950
5.00 × 104 0.00267 7430
6.00 × 104 0.00320 8920
7.00 × 104 0.00373 1.04 × 104
8.00 × 104 0.00427 1.19 × 104
9.00 × 104 0.00480 1.34 × 104
1.00 × 105 0.00533 1.49 × 104
2.00 × 105 0.0107 2.97 × 104
3.00 × 105 0.0160 4.46 × 104
4.00 × 105 0.0213 5.95 × 104
5.00 × 105 0.0267 7.43 × 104
6.00 × 105 0.0320 8.92 × 104
7.00 × 105 0.0373 1.04 × 105
8.00 × 105 0.0427 1.19 × 105
9.00 × 105 0.0480 1.34 × 105
1.00 × 106 0.0533 1.49 × 105
2.00 × 106 0.107 2.97 × 105
Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 1.85 × 10-5 18.6
50.0 2.06 × 10-5 20.6
60.0 2.47 × 10-5 24.8
70.0 2.88 × 10-5 28.9
80.0 3.29 × 10-5 33.0
90.0 3.70 × 10-5 37.2
100 4.11 × 10-5 41.3
200 8.23 × 10-5 82.6
300 1.23 × 10-4 124
400 1.65 × 10-4 165
500 2.06 × 10-4 206
600 2.47 × 10-4 248
700 2.88 × 10-4 289
800 3.29 × 10-4 330
900 3.70 × 10-4 372
1000 4.11 × 10-4 413
2000 8.23 × 10-4 826
3000 0.00123 1240
4000 0.00165 1650
5000 0.00206 2060
6000 0.00247 2480
7000 0.00288 2890
8000 0.00329 3300
9000 0.00370 3720
1.00 × 104 0.00411 4130
2.00 × 104 0.00823 8260
3.00 × 104 0.0123 1.24 × 104
4.00 × 104 0.0165 1.65 × 104
5.00 × 104 0.0206 2.06 × 104
6.00 × 104 0.0247 2.48 × 104
7.00 × 104 0.0288 2.89 × 104
8.00 × 104 0.0329 3.30 × 104
9.00 × 104 0.0370 3.72 × 104
1.00 × 105 0.0411 4.13 × 104
2.00 × 105 0.0823 8.26 × 104
3.00 × 105 0.123 1.24 × 105
4.00 × 105 0.165 1.65 × 105
5.00 × 105 0.206 2.06 × 105
6.00 × 105 0.247 2.48 × 105
7.00 × 105 0.288 2.89 × 105
7.19 × 105 0.296 2.97 × 105
Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 2.96 × 10-4 74.3
50.0 3.29 × 10-4 82.6
60.0 3.95 × 10-4 99.1
70.0 4.61 × 10-4 116
80.0 5.27 × 10-4 132
90.0 5.93 × 10-4 149
100 6.58 × 10-4 165
200 0.00132 330
300 0.00198 495
400 0.00263 661
500 0.00329 826
600 0.00395 991
700 0.00461 1160
800 0.00527 1320
900 0.00593 1490
1000 0.00658 1650
2000 0.0132 3300
3000 0.0198 4950
4000 0.0263 6610
5000 0.0329 8260
6000 0.0395 9910
7000 0.0461 1.16 × 104
8000 0.0527 1.32 × 104
9000 0.0593 1.49 × 104
1.00 × 104 0.0658 1.65 × 104
2.00 × 104 0.132 3.30 × 104
3.00 × 104 0.198 4.95 × 104
4.00 × 104 0.263 6.61 × 104
5.00 × 104 0.329 8.26 × 104
6.00 × 104 0.395 9.91 × 104
7.00 × 104 0.461 1.16 × 105
8.00 × 104 0.527 1.32 × 105
9.00 × 104 0.593 1.49 × 105
1.00 × 105 0.658 1.65 × 105
1.80 × 105 1.18 2.97 × 105
Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.00150 167
50.0 0.00167 186
60.0 0.00200 223
70.0 0.00233 260
80.0 0.00267 297
90.0 0.00300 334
100 0.00333 372
200 0.00667 743
300 0.0100 1110
400 0.0133 1490
500 0.0167 1860
600 0.0200 2230
700 0.0233 2600
800 0.0267 2970
900 0.0300 3340
1000 0.0333 3720
2000 0.0667 7430
3000 0.100 1.11 × 104
4000 0.133 1.49 × 104
5000 0.167 1.86 × 104
6000 0.200 2.23 × 104
7000 0.233 2.60 × 104
8000 0.267 2.97 × 104
9000 0.300 3.34 × 104
1.00 × 104 0.333 3.72 × 104
2.00 × 104 0.667 7.43 × 104
3.00 × 104 1.00 1.11 × 105
4.00 × 104 1.33 1.49 × 105
5.00 × 104 1.67 1.86 × 105
6.00 × 104 2.00 2.23 × 105
7.00 × 104 2.33 2.60 × 105
7.99 × 104 2.66 2.97 × 105
Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.00474 297
50.0 0.00527 330
60.0 0.00632 396
70.0 0.00737 462
80.0 0.00843 528
90.0 0.00948 595
100 0.0105 661
200 0.0211 1320
300 0.0316 1980
400 0.0421 2640
500 0.0527 3300
600 0.0632 3960
700 0.0737 4620
800 0.0843 5280
900 0.0948 5950
1000 0.105 6610
2000 0.211 1.32 × 104
3000 0.316 1.98 × 104
4000 0.421 2.64 × 104
5000 0.527 3.30 × 104
6000 0.632 3.96 × 104
7000 0.737 4.62 × 104
8000 0.843 5.28 × 104
9000 0.948 5.95 × 104
1.00 × 104 1.05 6.61 × 104
2.00 × 104 2.11 1.32 × 105
3.00 × 104 3.16 1.98 × 105
4.00 × 104 4.21 2.64 × 105
4.50 × 104 4.74 2.97 × 105
Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.0116 464
50.0 0.0129 516
60.0 0.0154 619
70.0 0.0180 723
80.0 0.0206 826
90.0 0.0231 929
100 0.0257 1030
200 0.0514 2060
300 0.0771 3100
400 0.103 4130
500 0.129 5160
600 0.154 6190
700 0.180 7230
800 0.206 8260
900 0.231 9290
1000 0.257 1.03 × 104
2000 0.514 2.06 × 104
3000 0.771 3.10 × 104
4000 1.03 4.13 × 104
5000 1.29 5.16 × 104
6000 1.54 6.19 × 104
7000 1.80 7.23 × 104
8000 2.06 8.26 × 104
9000 2.31 9.29 × 104
1.00 × 104 2.57 1.03 × 105
2.00 × 104 5.14 2.06 × 105
2.88 × 104 7.40 2.97 × 105
Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.0240 669
50.0 0.0267 743
60.0 0.0320 892
70.0 0.0373 1040
80.0 0.0427 1190
90.0 0.0480 1340
100 0.0533 1490
200 0.107 2970
300 0.160 4460
400 0.213 5950
500 0.267 7430
600 0.320 8920
700 0.373 1.04 × 104
800 0.427 1.19 × 104
900 0.480 1.34 × 104
1000 0.533 1.49 × 104
2000 1.07 2.97 × 104
3000 1.60 4.46 × 104
4000 2.13 5.95 × 104
5000 2.67 7.43 × 104
6000 3.20 8.92 × 104
7000 3.73 1.04 × 105
8000 4.27 1.19 × 105
9000 4.80 1.34 × 105
1.00 × 104 5.33 1.49 × 105
2.00 × 104 10.7 2.97 × 105
Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.0758 1190
50.0 0.0843 1320
60.0 0.101 1590
70.0 0.118 1850
80.0 0.135 2110
90.0 0.152 2380
100 0.169 2640
200 0.337 5280
300 0.506 7930
400 0.674 1.06 × 104
500 0.843 1.32 × 104
600 1.01 1.59 × 104
700 1.18 1.85 × 104
800 1.35 2.11 × 104
900 1.52 2.38 × 104
1000 1.69 2.64 × 104
2000 3.37 5.28 × 104
3000 5.06 7.93 × 104
4000 6.74 1.06 × 105
5000 8.43 1.32 × 105
6000 10.1 1.59 × 105
7000 11.8 1.85 × 105
8000 13.5 2.11 × 105
9000 15.2 2.38 × 105
9570 16.1 2.53 × 105
Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.185 1860
50.0 0.206 2060
60.0 0.247 2480
70.0 0.288 2890
80.0 0.329 3300
90.0 0.370 3720
100 0.411 4130
200 0.823 8260
300 1.23 1.24 × 104
400 1.65 1.65 × 104
500 2.06 2.06 × 104
600 2.47 2.48 × 104
700 2.88 2.89 × 104
800 3.29 3.30 × 104
900 3.70 3.72 × 104
1000 4.11 4.13 × 104
2000 8.23 8.26 × 104
3000 12.3 1.24 × 105
3920 16.1 1.62 × 105
Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.384 2680
50.0 0.427 2970
60.0 0.512 3570
70.0 0.597 4160
80.0 0.683 4760
90.0 0.768 5350
100 0.853 5950
200 1.71 1.19 × 104
300 2.56 1.78 × 104
400 3.41 2.38 × 104
500 4.27 2.97 × 104
600 5.12 3.57 × 104
700 5.97 4.16 × 104
800 6.83 4.76 × 104
900 7.68 5.35 × 104
1000 8.53 5.95 × 104
1890 16.1 1.12 × 105
Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.711 3640
50.0 0.790 4050
60.0 0.948 4860
70.0 1.11 5660
80.0 1.26 6470
90.0 1.42 7280
100 1.58 8090
200 3.16 1.62 × 104
300 4.74 2.43 × 104
400 6.32 3.24 × 104
500 7.90 4.05 × 104
600 9.48 4.86 × 104
700 11.1 5.66 × 104
800 12.6 6.47 × 104
900 14.2 7.28 × 104
1000 15.8 8.09 × 104
1020 16.1 8.26 × 104
Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 1.21 4760
50.0 1.35 5280
60.0 1.62 6340
70.0 1.89 7400
80.0 2.16 8460
90.0 2.43 9510
100 2.70 1.06 × 104
200 5.39 2.11 × 104
300 8.09 3.17 × 104
400 10.8 4.23 × 104
500 13.5 5.28 × 104
598 16.1 6.32 × 104
Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 1.94 6020
50.0 2.16 6690
60.0 2.59 8030
70.0 3.02 9360
80.0 3.46 1.07 × 104
90.0 3.89 1.20 × 104
100 4.32 1.34 × 104
200 8.64 2.68 × 104
300 13.0 4.01 × 104
373 16.1 5.00 × 104
Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 2.96 7430
50.0 3.29 8260
60.0 3.95 9910
70.0 4.61 1.16 × 104
80.0 5.27 1.32 × 104
90.0 5.93 1.49 × 104
100 6.58 1.65 × 104
200 13.2 3.30 × 104
245 16.1 4.05 × 104
Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 7.23 1.16 × 104
50.0 8.04 1.29 × 104
60.0 9.64 1.55 × 104
70.0 11.3 1.81 × 104
80.0 12.9 2.06 × 104
90.0 14.5 2.32 × 104
100 16.1 2.58 × 104
100 16.1 2.59 × 104
Steel I Beam: W16 × 45 (Wide Flange 16 inch tall × 45 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 15.0 1.67 × 104
48.4 16.1 1.80 × 104
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