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Wide Flange Steel I Beam: W16 × 45
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 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 = 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 2.22 × 10-6 7.16
50.0 2.47 × 10-6 7.96
60.0 2.96 × 10-6 9.55
70.0 3.46 × 10-6 11.1
80.0 3.95 × 10-6 12.7
90.0 4.45 × 10-6 14.3
100 4.94 × 10-6 15.9
200 9.88 × 10-6 31.8
300 1.48 × 10-5 47.8
400 1.98 × 10-5 63.7
500 2.47 × 10-5 79.6
600 2.96 × 10-5 95.5
700 3.46 × 10-5 111
800 3.95 × 10-5 127
900 4.45 × 10-5 143
1000 4.94 × 10-5 159
2000 9.88 × 10-5 318
3000 1.48 × 10-4 478
4000 1.98 × 10-4 637
5000 2.47 × 10-4 796
6000 2.96 × 10-4 955
7000 3.46 × 10-4 1110
8000 3.95 × 10-4 1270
9000 4.45 × 10-4 1430
1.00 × 104 4.94 × 10-4 1590
2.00 × 104 9.88 × 10-4 3180
3.00 × 104 0.00148 4780
4.00 × 104 0.00198 6370
5.00 × 104 0.00247 7960
6.00 × 104 0.00296 9550
7.00 × 104 0.00346 1.11 × 104
8.00 × 104 0.00395 1.27 × 104
9.00 × 104 0.00445 1.43 × 104
1.00 × 105 0.00494 1.59 × 104
2.00 × 105 0.00988 3.18 × 104
3.00 × 105 0.0148 4.78 × 104
4.00 × 105 0.0198 6.37 × 104
5.00 × 105 0.0247 7.96 × 104
6.00 × 105 0.0296 9.55 × 104
7.00 × 105 0.0346 1.11 × 105
8.00 × 105 0.0395 1.27 × 105
9.00 × 105 0.0445 1.43 × 105
1.00 × 106 0.0494 1.59 × 105
1.87 × 106 0.0922 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 1.72 × 10-5 19.9
50.0 1.91 × 10-5 22.1
60.0 2.29 × 10-5 26.5
70.0 2.67 × 10-5 31.0
80.0 3.05 × 10-5 35.4
90.0 3.43 × 10-5 39.8
100 3.81 × 10-5 44.2
200 7.62 × 10-5 88.4
300 1.14 × 10-4 133
400 1.52 × 10-4 177
500 1.91 × 10-4 221
600 2.29 × 10-4 265
700 2.67 × 10-4 310
800 3.05 × 10-4 354
900 3.43 × 10-4 398
1000 3.81 × 10-4 442
2000 7.62 × 10-4 884
3000 0.00114 1330
4000 0.00152 1770
5000 0.00191 2210
6000 0.00229 2650
7000 0.00267 3100
8000 0.00305 3540
9000 0.00343 3980
1.00 × 104 0.00381 4420
2.00 × 104 0.00762 8840
3.00 × 104 0.0114 1.33 × 104
4.00 × 104 0.0152 1.77 × 104
5.00 × 104 0.0191 2.21 × 104
6.00 × 104 0.0229 2.65 × 104
7.00 × 104 0.0267 3.10 × 104
8.00 × 104 0.0305 3.54 × 104
9.00 × 104 0.0343 3.98 × 104
1.00 × 105 0.0381 4.42 × 104
2.00 × 105 0.0762 8.84 × 104
3.00 × 105 0.114 1.33 × 105
4.00 × 105 0.152 1.77 × 105
5.00 × 105 0.191 2.21 × 105
6.00 × 105 0.229 2.65 × 105
6.72 × 105 0.256 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 2.74 × 10-4 79.6
50.0 3.05 × 10-4 88.4
60.0 3.66 × 10-4 106
70.0 4.27 × 10-4 124
80.0 4.88 × 10-4 142
90.0 5.49 × 10-4 159
100 6.10 × 10-4 177
200 0.00122 354
300 0.00183 531
400 0.00244 708
500 0.00305 884
600 0.00366 1060
700 0.00427 1240
800 0.00488 1420
900 0.00549 1590
1000 0.00610 1770
2000 0.0122 3540
3000 0.0183 5310
4000 0.0244 7080
5000 0.0305 8840
6000 0.0366 1.06 × 104
7000 0.0427 1.24 × 104
8000 0.0488 1.42 × 104
9000 0.0549 1.59 × 104
1.00 × 104 0.0610 1.77 × 104
2.00 × 104 0.122 3.54 × 104
3.00 × 104 0.183 5.31 × 104
4.00 × 104 0.244 7.08 × 104
5.00 × 104 0.305 8.84 × 104
6.00 × 104 0.366 1.06 × 105
7.00 × 104 0.427 1.24 × 105
8.00 × 104 0.488 1.42 × 105
9.00 × 104 0.549 1.59 × 105
1.00 × 105 0.610 1.77 × 105
1.68 × 105 1.02 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 0.00139 179
50.0 0.00154 199
60.0 0.00185 239
70.0 0.00216 279
80.0 0.00247 318
90.0 0.00278 358
100 0.00309 398
200 0.00618 796
300 0.00926 1190
400 0.0124 1590
500 0.0154 1990
600 0.0185 2390
700 0.0216 2790
800 0.0247 3180
900 0.0278 3580
1000 0.0309 3980
2000 0.0618 7960
3000 0.0926 1.19 × 104
4000 0.124 1.59 × 104
5000 0.154 1.99 × 104
6000 0.185 2.39 × 104
7000 0.216 2.79 × 104
8000 0.247 3.18 × 104
9000 0.278 3.58 × 104
1.00 × 104 0.309 3.98 × 104
2.00 × 104 0.618 7.96 × 104
3.00 × 104 0.926 1.19 × 105
4.00 × 104 1.24 1.59 × 105
5.00 × 104 1.54 1.99 × 105
6.00 × 104 1.85 2.39 × 105
7.00 × 104 2.16 2.79 × 105
7.46 × 104 2.30 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 0.00439 318
50.0 0.00488 354
60.0 0.00586 425
70.0 0.00683 495
80.0 0.00781 566
90.0 0.00878 637
100 0.00976 708
200 0.0195 1420
300 0.0293 2120
400 0.0390 2830
500 0.0488 3540
600 0.0586 4250
700 0.0683 4950
800 0.0781 5660
900 0.0878 6370
1000 0.0976 7080
2000 0.195 1.42 × 104
3000 0.293 2.12 × 104
4000 0.390 2.83 × 104
5000 0.488 3.54 × 104
6000 0.586 4.25 × 104
7000 0.683 4.95 × 104
8000 0.781 5.66 × 104
9000 0.878 6.37 × 104
1.00 × 104 0.976 7.08 × 104
2.00 × 104 1.95 1.42 × 105
3.00 × 104 2.93 2.12 × 105
4.00 × 104 3.90 2.83 × 105
4.20 × 104 4.10 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 0.0107 497
50.0 0.0119 553
60.0 0.0143 663
70.0 0.0167 774
80.0 0.0191 884
90.0 0.0214 995
100 0.0238 1110
200 0.0477 2210
300 0.0715 3320
400 0.0953 4420
500 0.119 5530
600 0.143 6630
700 0.167 7740
800 0.191 8840
900 0.214 9950
1000 0.238 1.11 × 104
2000 0.477 2.21 × 104
3000 0.715 3.32 × 104
4000 0.953 4.42 × 104
5000 1.19 5.53 × 104
6000 1.43 6.63 × 104
7000 1.67 7.74 × 104
8000 1.91 8.84 × 104
9000 2.14 9.95 × 104
1.00 × 104 2.38 1.11 × 105
2.00 × 104 4.77 2.21 × 105
2.69 × 104 6.40 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 0.0222 716
50.0 0.0247 796
60.0 0.0296 955
70.0 0.0346 1110
80.0 0.0395 1270
90.0 0.0445 1430
100 0.0494 1590
200 0.0988 3180
300 0.148 4780
400 0.198 6370
500 0.247 7960
600 0.296 9550
700 0.346 1.11 × 104
800 0.395 1.27 × 104
900 0.445 1.43 × 104
1000 0.494 1.59 × 104
2000 0.988 3.18 × 104
3000 1.48 4.78 × 104
4000 1.98 6.37 × 104
5000 2.47 7.96 × 104
6000 2.96 9.55 × 104
7000 3.46 1.11 × 105
8000 3.95 1.27 × 105
9000 4.45 1.43 × 105
1.00 × 104 4.94 1.59 × 105
1.87 × 104 9.22 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 0.0703 1270
50.0 0.0781 1420
60.0 0.0937 1700
70.0 0.109 1980
80.0 0.125 2260
90.0 0.141 2550
100 0.156 2830
200 0.312 5660
300 0.468 8490
400 0.625 1.13 × 104
500 0.781 1.42 × 104
600 0.937 1.70 × 104
700 1.09 1.98 × 104
800 1.25 2.26 × 104
900 1.41 2.55 × 104
1000 1.56 2.83 × 104
2000 3.12 5.66 × 104
3000 4.68 8.49 × 104
4000 6.25 1.13 × 105
5000 7.81 1.42 × 105
6000 9.37 1.70 × 105
7000 10.9 1.98 × 105
8000 12.5 2.26 × 105
9000 14.1 2.55 × 105
1.00 × 104 15.6 2.83 × 105
1.05 × 104 16.4 2.97 × 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 0.172 1990
50.0 0.191 2210
60.0 0.229 2650
70.0 0.267 3100
80.0 0.305 3540
90.0 0.343 3980
100 0.381 4420
200 0.762 8840
300 1.14 1.33 × 104
400 1.52 1.77 × 104
500 1.91 2.21 × 104
600 2.29 2.65 × 104
700 2.67 3.10 × 104
800 3.05 3.54 × 104
900 3.43 3.98 × 104
1000 3.81 4.42 × 104
2000 7.62 8.84 × 104
3000 11.4 1.33 × 105
4000 15.2 1.77 × 105
4230 16.1 1.87 × 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 0.356 2870
50.0 0.395 3180
60.0 0.474 3820
70.0 0.553 4460
80.0 0.632 5090
90.0 0.711 5730
100 0.790 6370
200 1.58 1.27 × 104
300 2.37 1.91 × 104
400 3.16 2.55 × 104
500 3.95 3.18 × 104
600 4.74 3.82 × 104
700 5.53 4.46 × 104
800 6.32 5.09 × 104
900 7.11 5.73 × 104
1000 7.90 6.37 × 104
2000 15.8 1.27 × 105
2040 16.1 1.30 × 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 0.659 3900
50.0 0.732 4330
60.0 0.879 5200
70.0 1.03 6070
80.0 1.17 6930
90.0 1.32 7800
100 1.46 8670
200 2.93 1.73 × 104
300 4.39 2.60 × 104
400 5.86 3.47 × 104
500 7.32 4.33 × 104
600 8.79 5.20 × 104
700 10.3 6.07 × 104
800 11.7 6.93 × 104
900 13.2 7.80 × 104
1000 14.6 8.67 × 104
1100 16.1 9.55 × 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 1.12 5090
50.0 1.25 5660
60.0 1.50 6790
70.0 1.75 7920
80.0 2.00 9060
90.0 2.25 1.02 × 104
100 2.50 1.13 × 104
200 5.00 2.26 × 104
300 7.49 3.40 × 104
400 9.99 4.53 × 104
500 12.5 5.66 × 104
600 15.0 6.79 × 104
646 16.1 7.31 × 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 1.80 6450
50.0 2.00 7160
60.0 2.40 8600
70.0 2.80 1.00 × 104
80.0 3.20 1.15 × 104
90.0 3.60 1.29 × 104
100 4.00 1.43 × 104
200 8.00 2.87 × 104
300 12.0 4.30 × 104
400 16.0 5.73 × 104
403 16.1 5.77 × 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 2.74 7960
50.0 3.05 8840
60.0 3.66 1.06 × 104
70.0 4.27 1.24 × 104
80.0 4.88 1.42 × 104
90.0 5.49 1.59 × 104
100 6.10 1.77 × 104
200 12.2 3.54 × 104
264 16.1 4.68 × 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 6.70 1.24 × 104
50.0 7.45 1.38 × 104
60.0 8.93 1.66 × 104
70.0 10.4 1.93 × 104
80.0 11.9 2.21 × 104
90.0 13.4 2.49 × 104
100 14.9 2.76 × 104
108 16.1 2.99 × 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 13.9 1.79 × 104
50.0 15.4 1.99 × 104
52.2 16.1 2.08 × 104
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