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Wide Flange Steel I Beam: W16 × 40
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » Wide Flange Steel I Beam » W16 × 40
Wide Flange Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in a single span, the maximum displacement w_max and the maximum normal stress stress_max occur at the center of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 518 in4) for the W16 × 40 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
   
Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 4.62 × 10-6 8.34
50.0 5.78 × 10-6 10.4
60.0 6.93 × 10-6 12.5
70.0 8.09 × 10-6 14.6
80.0 9.24 × 10-6 16.7
90.0 1.04 × 10-5 18.8
100 1.16 × 10-5 20.9
200 2.31 × 10-5 41.7
300 3.47 × 10-5 62.6
400 4.62 × 10-5 83.4
500 5.78 × 10-5 104
600 6.93 × 10-5 125
700 8.09 × 10-5 146
800 9.24 × 10-5 167
900 1.04 × 10-4 188
1000 1.16 × 10-4 209
2000 2.31 × 10-4 417
3000 3.47 × 10-4 626
4000 4.62 × 10-4 834
5000 5.78 × 10-4 1040
6000 6.93 × 10-4 1250
7000 8.09 × 10-4 1460
8000 9.24 × 10-4 1670
9000 0.00104 1880
1.00 × 104 0.00116 2090
2.00 × 104 0.00231 4170
3.00 × 104 0.00347 6260
4.00 × 104 0.00462 8340
5.00 × 104 0.00578 1.04 × 104
6.00 × 104 0.00693 1.25 × 104
7.00 × 104 0.00809 1.46 × 104
8.00 × 104 0.00924 1.67 × 104
9.00 × 104 0.0104 1.88 × 104
1.00 × 105 0.0116 2.09 × 104
2.00 × 105 0.0231 4.17 × 104
3.00 × 105 0.0347 6.26 × 104
4.00 × 105 0.0462 8.34 × 104
5.00 × 105 0.0578 1.04 × 105
6.00 × 105 0.0693 1.25 × 105
7.00 × 105 0.0809 1.46 × 105
8.00 × 105 0.0924 1.67 × 105
9.00 × 105 0.104 1.88 × 105
1.00 × 106 0.116 2.09 × 105
1.42 × 106 0.164 2.97 × 105
Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 3.57 × 10-5 23.2
50.0 4.46 × 10-5 29.0
60.0 5.35 × 10-5 34.8
70.0 6.24 × 10-5 40.6
80.0 7.13 × 10-5 46.4
90.0 8.02 × 10-5 52.2
100 8.91 × 10-5 58.0
200 1.78 × 10-4 116
300 2.67 × 10-4 174
400 3.57 × 10-4 232
500 4.46 × 10-4 290
600 5.35 × 10-4 348
700 6.24 × 10-4 406
800 7.13 × 10-4 464
900 8.02 × 10-4 522
1000 8.91 × 10-4 580
2000 0.00178 1160
3000 0.00267 1740
4000 0.00357 2320
5000 0.00446 2900
6000 0.00535 3480
7000 0.00624 4060
8000 0.00713 4640
9000 0.00802 5220
1.00 × 104 0.00891 5800
2.00 × 104 0.0178 1.16 × 104
3.00 × 104 0.0267 1.74 × 104
4.00 × 104 0.0357 2.32 × 104
5.00 × 104 0.0446 2.90 × 104
6.00 × 104 0.0535 3.48 × 104
7.00 × 104 0.0624 4.06 × 104
8.00 × 104 0.0713 4.64 × 104
9.00 × 104 0.0802 5.22 × 104
1.00 × 105 0.0891 5.80 × 104
2.00 × 105 0.178 1.16 × 105
3.00 × 105 0.267 1.74 × 105
4.00 × 105 0.357 2.32 × 105
5.00 × 105 0.446 2.90 × 105
5.13 × 105 0.457 2.97 × 105
Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 5.70 × 10-4 92.7
50.0 7.13 × 10-4 116
60.0 8.56 × 10-4 139
70.0 9.98 × 10-4 162
80.0 0.00114 185
90.0 0.00128 209
100 0.00143 232
200 0.00285 464
300 0.00428 695
400 0.00570 927
500 0.00713 1160
600 0.00856 1390
700 0.00998 1620
800 0.0114 1850
900 0.0128 2090
1000 0.0143 2320
2000 0.0285 4640
3000 0.0428 6950
4000 0.0570 9270
5000 0.0713 1.16 × 104
6000 0.0856 1.39 × 104
7000 0.0998 1.62 × 104
8000 0.114 1.85 × 104
9000 0.128 2.09 × 104
1.00 × 104 0.143 2.32 × 104
2.00 × 104 0.285 4.64 × 104
3.00 × 104 0.428 6.95 × 104
4.00 × 104 0.570 9.27 × 104
5.00 × 104 0.713 1.16 × 105
6.00 × 104 0.856 1.39 × 105
7.00 × 104 0.998 1.62 × 105
8.00 × 104 1.14 1.85 × 105
9.00 × 104 1.28 2.09 × 105
1.00 × 105 1.43 2.32 × 105
1.28 × 105 1.83 2.97 × 105
Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 0.00289 209
50.0 0.00361 261
60.0 0.00433 313
70.0 0.00505 365
80.0 0.00578 417
90.0 0.00650 469
100 0.00722 522
200 0.0144 1040
300 0.0217 1560
400 0.0289 2090
500 0.0361 2610
600 0.0433 3130
700 0.0505 3650
800 0.0578 4170
900 0.0650 4690
1000 0.0722 5220
2000 0.144 1.04 × 104
3000 0.217 1.56 × 104
4000 0.289 2.09 × 104
5000 0.361 2.61 × 104
6000 0.433 3.13 × 104
7000 0.505 3.65 × 104
8000 0.578 4.17 × 104
9000 0.650 4.69 × 104
1.00 × 104 0.722 5.22 × 104
2.00 × 104 1.44 1.04 × 105
3.00 × 104 2.17 1.56 × 105
4.00 × 104 2.89 2.09 × 105
5.00 × 104 3.61 2.61 × 105
5.70 × 104 4.11 2.97 × 105
Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 0.00913 371
50.0 0.0114 464
60.0 0.0137 556
70.0 0.0160 649
80.0 0.0183 742
90.0 0.0205 834
100 0.0228 927
200 0.0456 1850
300 0.0685 2780
400 0.0913 3710
500 0.114 4640
600 0.137 5560
700 0.160 6490
800 0.183 7420
900 0.205 8340
1000 0.228 9270
2000 0.456 1.85 × 104
3000 0.685 2.78 × 104
4000 0.913 3.71 × 104
5000 1.14 4.64 × 104
6000 1.37 5.56 × 104
7000 1.60 6.49 × 104
8000 1.83 7.42 × 104
9000 2.05 8.34 × 104
1.00 × 104 2.28 9.27 × 104
2.00 × 104 4.56 1.85 × 105
3.00 × 104 6.85 2.78 × 105
3.20 × 104 7.31 2.97 × 105
Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 0.0223 580
50.0 0.0279 724
60.0 0.0334 869
70.0 0.0390 1010
80.0 0.0446 1160
90.0 0.0501 1300
100 0.0557 1450
200 0.111 2900
300 0.167 4350
400 0.223 5800
500 0.279 7240
600 0.334 8690
700 0.390 1.01 × 104
800 0.446 1.16 × 104
900 0.501 1.30 × 104
1000 0.557 1.45 × 104
2000 1.11 2.90 × 104
3000 1.67 4.35 × 104
4000 2.23 5.80 × 104
5000 2.79 7.24 × 104
6000 3.34 8.69 × 104
7000 3.90 1.01 × 105
8000 4.46 1.16 × 105
9000 5.01 1.30 × 105
1.00 × 104 5.57 1.45 × 105
2.00 × 104 11.1 2.90 × 105
2.05 × 104 11.4 2.97 × 105
Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 0.0462 834
50.0 0.0578 1040
60.0 0.0693 1250
70.0 0.0809 1460
80.0 0.0924 1670
90.0 0.104 1880
100 0.116 2090
200 0.231 4170
300 0.347 6260
400 0.462 8340
500 0.578 1.04 × 104
600 0.693 1.25 × 104
700 0.809 1.46 × 104
800 0.924 1.67 × 104
900 1.04 1.88 × 104
1000 1.16 2.09 × 104
2000 2.31 4.17 × 104
3000 3.47 6.26 × 104
4000 4.62 8.34 × 104
5000 5.78 1.04 × 105
6000 6.93 1.25 × 105
7000 8.09 1.46 × 105
8000 9.24 1.67 × 105
9000 10.4 1.88 × 105
1.00 × 104 11.6 2.09 × 105
1.42 × 104 16.4 2.97 × 105
Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 0.146 1480
50.0 0.183 1850
60.0 0.219 2230
70.0 0.256 2600
80.0 0.292 2970
90.0 0.329 3340
100 0.365 3710
200 0.730 7420
300 1.10 1.11 × 104
400 1.46 1.48 × 104
500 1.83 1.85 × 104
600 2.19 2.23 × 104
700 2.56 2.60 × 104
800 2.92 2.97 × 104
900 3.29 3.34 × 104
1000 3.65 3.71 × 104
2000 7.30 7.42 × 104
3000 11.0 1.11 × 105
4000 14.6 1.48 × 105
4390 16.0 1.63 × 105
Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 0.357 2320
50.0 0.446 2900
60.0 0.535 3480
70.0 0.624 4060
80.0 0.713 4640
90.0 0.802 5220
100 0.891 5800
200 1.78 1.16 × 104
300 2.67 1.74 × 104
400 3.57 2.32 × 104
500 4.46 2.90 × 104
600 5.35 3.48 × 104
700 6.24 4.06 × 104
800 7.13 4.64 × 104
900 8.02 5.22 × 104
1000 8.91 5.80 × 104
1800 16.0 1.04 × 105
Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 0.739 3340
50.0 0.924 4170
60.0 1.11 5010
70.0 1.29 5840
80.0 1.48 6680
90.0 1.66 7510
100 1.85 8340
200 3.70 1.67 × 104
300 5.54 2.50 × 104
400 7.39 3.34 × 104
500 9.24 4.17 × 104
600 11.1 5.01 × 104
700 12.9 5.84 × 104
800 14.8 6.68 × 104
866 16.0 7.23 × 104
Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 1.37 4540
50.0 1.71 5680
60.0 2.05 6820
70.0 2.40 7950
80.0 2.74 9090
90.0 3.08 1.02 × 104
100 3.42 1.14 × 104
200 6.85 2.27 × 104
300 10.3 3.41 × 104
400 13.7 4.54 × 104
468 16.0 5.31 × 104
Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 2.34 5930
50.0 2.92 7420
60.0 3.50 8900
70.0 4.09 1.04 × 104
80.0 4.67 1.19 × 104
90.0 5.26 1.34 × 104
100 5.84 1.48 × 104
200 11.7 2.97 × 104
274 16.0 4.07 × 104
Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 3.74 7510
50.0 4.68 9390
60.0 5.61 1.13 × 104
70.0 6.55 1.31 × 104
80.0 7.49 1.50 × 104
90.0 8.42 1.69 × 104
100 9.36 1.88 × 104
171 16.0 3.21 × 104
Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 5.70 9270
50.0 7.13 1.16 × 104
60.0 8.56 1.39 × 104
70.0 9.98 1.62 × 104
80.0 11.4 1.85 × 104
90.0 12.8 2.09 × 104
100 14.3 2.32 × 104
112 16.0 2.60 × 104
Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 13.9 1.45 × 104
46.0 16.0 1.67 × 104
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