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Wide Flange Steel I Beam: W16 × 45
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 two equal spans, we compute the displacement at the middle of each span w_mid and the maximum normal stress stress_max occuring at the center support 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 1.84 × 10-6 8.36
50.0 2.04 × 10-6 9.29
60.0 2.45 × 10-6 11.1
70.0 2.86 × 10-6 13.0
80.0 3.27 × 10-6 14.9
90.0 3.68 × 10-6 16.7
100 4.08 × 10-6 18.6
200 8.17 × 10-6 37.2
300 1.23 × 10-5 55.7
400 1.63 × 10-5 74.3
500 2.04 × 10-5 92.9
600 2.45 × 10-5 111
700 2.86 × 10-5 130
800 3.27 × 10-5 149
900 3.68 × 10-5 167
1000 4.08 × 10-5 186
2000 8.17 × 10-5 372
3000 1.23 × 10-4 557
4000 1.63 × 10-4 743
5000 2.04 × 10-4 929
6000 2.45 × 10-4 1110
7000 2.86 × 10-4 1300
8000 3.27 × 10-4 1490
9000 3.68 × 10-4 1670
1.00 × 104 4.08 × 10-4 1860
2.00 × 104 8.17 × 10-4 3720
3.00 × 104 0.00123 5570
4.00 × 104 0.00163 7430
5.00 × 104 0.00204 9290
6.00 × 104 0.00245 1.11 × 104
7.00 × 104 0.00286 1.30 × 104
8.00 × 104 0.00327 1.49 × 104
9.00 × 104 0.00368 1.67 × 104
1.00 × 105 0.00408 1.86 × 104
2.00 × 105 0.00817 3.72 × 104
3.00 × 105 0.0123 5.57 × 104
4.00 × 105 0.0163 7.43 × 104
5.00 × 105 0.0204 9.29 × 104
6.00 × 105 0.0245 1.11 × 105
7.00 × 105 0.0286 1.30 × 105
8.00 × 105 0.0327 1.49 × 105
9.00 × 105 0.0368 1.67 × 105
1.00 × 106 0.0408 1.86 × 105
1.60 × 106 0.0653 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 1.42 × 10-5 23.2
50.0 1.58 × 10-5 25.8
60.0 1.89 × 10-5 31.0
70.0 2.21 × 10-5 36.1
80.0 2.52 × 10-5 41.3
90.0 2.84 × 10-5 46.4
100 3.15 × 10-5 51.6
200 6.30 × 10-5 103
300 9.45 × 10-5 155
400 1.26 × 10-4 206
500 1.58 × 10-4 258
600 1.89 × 10-4 310
700 2.21 × 10-4 361
800 2.52 × 10-4 413
900 2.84 × 10-4 464
1000 3.15 × 10-4 516
2000 6.30 × 10-4 1030
3000 9.45 × 10-4 1550
4000 0.00126 2060
5000 0.00158 2580
6000 0.00189 3100
7000 0.00221 3610
8000 0.00252 4130
9000 0.00284 4640
1.00 × 104 0.00315 5160
2.00 × 104 0.00630 1.03 × 104
3.00 × 104 0.00945 1.55 × 104
4.00 × 104 0.0126 2.06 × 104
5.00 × 104 0.0158 2.58 × 104
6.00 × 104 0.0189 3.10 × 104
7.00 × 104 0.0221 3.61 × 104
8.00 × 104 0.0252 4.13 × 104
9.00 × 104 0.0284 4.64 × 104
1.00 × 105 0.0315 5.16 × 104
2.00 × 105 0.0630 1.03 × 105
3.00 × 105 0.0945 1.55 × 105
4.00 × 105 0.126 2.06 × 105
5.00 × 105 0.158 2.58 × 105
5.76 × 105 0.181 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 2.27 × 10-4 92.9
50.0 2.52 × 10-4 103
60.0 3.03 × 10-4 124
70.0 3.53 × 10-4 145
80.0 4.03 × 10-4 165
90.0 4.54 × 10-4 186
100 5.04 × 10-4 206
200 0.00101 413
300 0.00151 619
400 0.00202 826
500 0.00252 1030
600 0.00303 1240
700 0.00353 1450
800 0.00403 1650
900 0.00454 1860
1000 0.00504 2060
2000 0.0101 4130
3000 0.0151 6190
4000 0.0202 8260
5000 0.0252 1.03 × 104
6000 0.0303 1.24 × 104
7000 0.0353 1.45 × 104
8000 0.0403 1.65 × 104
9000 0.0454 1.86 × 104
1.00 × 104 0.0504 2.06 × 104
2.00 × 104 0.101 4.13 × 104
3.00 × 104 0.151 6.19 × 104
4.00 × 104 0.202 8.26 × 104
5.00 × 104 0.252 1.03 × 105
6.00 × 104 0.303 1.24 × 105
7.00 × 104 0.353 1.45 × 105
8.00 × 104 0.403 1.65 × 105
9.00 × 104 0.454 1.86 × 105
1.00 × 105 0.504 2.06 × 105
1.44 × 105 0.726 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 0.00115 209
50.0 0.00128 232
60.0 0.00153 279
70.0 0.00179 325
80.0 0.00204 372
90.0 0.00230 418
100 0.00255 464
200 0.00511 929
300 0.00766 1390
400 0.0102 1860
500 0.0128 2320
600 0.0153 2790
700 0.0179 3250
800 0.0204 3720
900 0.0230 4180
1000 0.0255 4640
2000 0.0511 9290
3000 0.0766 1.39 × 104
4000 0.102 1.86 × 104
5000 0.128 2.32 × 104
6000 0.153 2.79 × 104
7000 0.179 3.25 × 104
8000 0.204 3.72 × 104
9000 0.230 4.18 × 104
1.00 × 104 0.255 4.64 × 104
2.00 × 104 0.511 9.29 × 104
3.00 × 104 0.766 1.39 × 105
4.00 × 104 1.02 1.86 × 105
5.00 × 104 1.28 2.32 × 105
6.00 × 104 1.53 2.79 × 105
6.39 × 104 1.63 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 0.00363 372
50.0 0.00403 413
60.0 0.00484 495
70.0 0.00565 578
80.0 0.00645 661
90.0 0.00726 743
100 0.00807 826
200 0.0161 1650
300 0.0242 2480
400 0.0323 3300
500 0.0403 4130
600 0.0484 4950
700 0.0565 5780
800 0.0645 6610
900 0.0726 7430
1000 0.0807 8260
2000 0.161 1.65 × 104
3000 0.242 2.48 × 104
4000 0.323 3.30 × 104
5000 0.403 4.13 × 104
6000 0.484 4.95 × 104
7000 0.565 5.78 × 104
8000 0.645 6.61 × 104
9000 0.726 7.43 × 104
1.00 × 104 0.807 8.26 × 104
2.00 × 104 1.61 1.65 × 105
3.00 × 104 2.42 2.48 × 105
3.60 × 104 2.90 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 0.00886 581
50.0 0.00985 645
60.0 0.0118 774
70.0 0.0138 903
80.0 0.0158 1030
90.0 0.0177 1160
100 0.0197 1290
200 0.0394 2580
300 0.0591 3870
400 0.0788 5160
500 0.0985 6450
600 0.118 7740
700 0.138 9030
800 0.158 1.03 × 104
900 0.177 1.16 × 104
1000 0.197 1.29 × 104
2000 0.394 2.58 × 104
3000 0.591 3.87 × 104
4000 0.788 5.16 × 104
5000 0.985 6.45 × 104
6000 1.18 7.74 × 104
7000 1.38 9.03 × 104
8000 1.58 1.03 × 105
9000 1.77 1.16 × 105
1.00 × 104 1.97 1.29 × 105
2.00 × 104 3.94 2.58 × 105
2.30 × 104 4.53 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 0.0184 836
50.0 0.0204 929
60.0 0.0245 1110
70.0 0.0286 1300
80.0 0.0327 1490
90.0 0.0368 1670
100 0.0408 1860
200 0.0817 3720
300 0.123 5570
400 0.163 7430
500 0.204 9290
600 0.245 1.11 × 104
700 0.286 1.30 × 104
800 0.327 1.49 × 104
900 0.368 1.67 × 104
1000 0.408 1.86 × 104
2000 0.817 3.72 × 104
3000 1.23 5.57 × 104
4000 1.63 7.43 × 104
5000 2.04 9.29 × 104
6000 2.45 1.11 × 105
7000 2.86 1.30 × 105
8000 3.27 1.49 × 105
9000 3.68 1.67 × 105
1.00 × 104 4.08 1.86 × 105
1.60 × 104 6.53 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 0.0581 1490
50.0 0.0645 1650
60.0 0.0775 1980
70.0 0.0904 2310
80.0 0.103 2640
90.0 0.116 2970
100 0.129 3300
200 0.258 6610
300 0.387 9910
400 0.516 1.32 × 104
500 0.645 1.65 × 104
600 0.775 1.98 × 104
700 0.904 2.31 × 104
800 1.03 2.64 × 104
900 1.16 2.97 × 104
1000 1.29 3.30 × 104
2000 2.58 6.61 × 104
3000 3.87 9.91 × 104
4000 5.16 1.32 × 105
5000 6.45 1.65 × 105
6000 7.75 1.98 × 105
7000 9.04 2.31 × 105
8000 10.3 2.64 × 105
8990 11.6 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 0.142 2320
50.0 0.158 2580
60.0 0.189 3100
70.0 0.221 3610
80.0 0.252 4130
90.0 0.284 4640
100 0.315 5160
200 0.630 1.03 × 104
300 0.945 1.55 × 104
400 1.26 2.06 × 104
500 1.58 2.58 × 104
600 1.89 3.10 × 104
700 2.21 3.61 × 104
800 2.52 4.13 × 104
900 2.84 4.64 × 104
1000 3.15 5.16 × 104
2000 6.30 1.03 × 105
3000 9.45 1.55 × 105
4000 12.6 2.06 × 105
5000 15.8 2.58 × 105
5760 18.1 2.97 × 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 0.294 3340
50.0 0.327 3720
60.0 0.392 4460
70.0 0.457 5200
80.0 0.523 5950
90.0 0.588 6690
100 0.654 7430
200 1.31 1.49 × 104
300 1.96 2.23 × 104
400 2.61 2.97 × 104
500 3.27 3.72 × 104
600 3.92 4.46 × 104
700 4.57 5.20 × 104
800 5.23 5.95 × 104
900 5.88 6.69 × 104
1000 6.54 7.43 × 104
2000 13.1 1.49 × 105
2470 16.1 1.83 × 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 0.545 4550
50.0 0.605 5060
60.0 0.726 6070
70.0 0.847 7080
80.0 0.969 8090
90.0 1.09 9100
100 1.21 1.01 × 104
200 2.42 2.02 × 104
300 3.63 3.03 × 104
400 4.84 4.05 × 104
500 6.05 5.06 × 104
600 7.26 6.07 × 104
700 8.47 7.08 × 104
800 9.69 8.09 × 104
900 10.9 9.10 × 104
1000 12.1 1.01 × 105
1330 16.1 1.35 × 105
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 0.929 5950
50.0 1.03 6610
60.0 1.24 7930
70.0 1.45 9250
80.0 1.65 1.06 × 104
90.0 1.86 1.19 × 104
100 2.07 1.32 × 104
200 4.13 2.64 × 104
300 6.20 3.96 × 104
400 8.26 5.28 × 104
500 10.3 6.61 × 104
600 12.4 7.93 × 104
700 14.5 9.25 × 104
781 16.1 1.03 × 105
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 1.49 7520
50.0 1.65 8360
60.0 1.99 1.00 × 104
70.0 2.32 1.17 × 104
80.0 2.65 1.34 × 104
90.0 2.98 1.50 × 104
100 3.31 1.67 × 104
200 6.62 3.34 × 104
300 9.93 5.02 × 104
400 13.2 6.69 × 104
488 16.1 8.15 × 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 2.27 9290
50.0 2.52 1.03 × 104
60.0 3.03 1.24 × 104
70.0 3.53 1.45 × 104
80.0 4.03 1.65 × 104
90.0 4.54 1.86 × 104
100 5.04 2.06 × 104
200 10.1 4.13 × 104
300 15.1 6.19 × 104
320 16.1 6.60 × 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 5.54 1.45 × 104
50.0 6.16 1.61 × 104
60.0 7.39 1.94 × 104
70.0 8.62 2.26 × 104
80.0 9.85 2.58 × 104
90.0 11.1 2.90 × 104
100 12.3 3.23 × 104
131 16.1 4.23 × 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 11.5 2.09 × 104
50.0 12.8 2.32 × 104
60.0 15.3 2.79 × 104
63.2 16.1 2.93 × 104
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