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Wide Flange Steel I Beam: W16 × 40
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » 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 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 = 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
L = 150 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 2.41 × 10-6 6.68
50.0 3.02 × 10-6 8.34
60.0 3.62 × 10-6 10.0
70.0 4.22 × 10-6 11.7
80.0 4.83 × 10-6 13.4
90.0 5.43 × 10-6 15.0
100 6.03 × 10-6 16.7
200 1.21 × 10-5 33.4
300 1.81 × 10-5 50.1
400 2.41 × 10-5 66.8
500 3.02 × 10-5 83.4
600 3.62 × 10-5 100
700 4.22 × 10-5 117
800 4.83 × 10-5 134
900 5.43 × 10-5 150
1000 6.03 × 10-5 167
2000 1.21 × 10-4 334
3000 1.81 × 10-4 501
4000 2.41 × 10-4 668
5000 3.02 × 10-4 834
6000 3.62 × 10-4 1000
7000 4.22 × 10-4 1170
8000 4.83 × 10-4 1340
9000 5.43 × 10-4 1500
1.00 × 104 6.03 × 10-4 1670
2.00 × 104 0.00121 3340
3.00 × 104 0.00181 5010
4.00 × 104 0.00241 6680
5.00 × 104 0.00302 8340
6.00 × 104 0.00362 1.00 × 104
7.00 × 104 0.00422 1.17 × 104
8.00 × 104 0.00483 1.34 × 104
9.00 × 104 0.00543 1.50 × 104
1.00 × 105 0.00603 1.67 × 104
2.00 × 105 0.0121 3.34 × 104
3.00 × 105 0.0181 5.01 × 104
4.00 × 105 0.0241 6.68 × 104
5.00 × 105 0.0302 8.34 × 104
6.00 × 105 0.0362 1.00 × 105
7.00 × 105 0.0422 1.17 × 105
8.00 × 105 0.0483 1.34 × 105
9.00 × 105 0.0543 1.50 × 105
1.00 × 106 0.0603 1.67 × 105
1.78 × 106 0.107 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 1.86 × 10-5 18.5
50.0 2.33 × 10-5 23.2
60.0 2.79 × 10-5 27.8
70.0 3.26 × 10-5 32.5
80.0 3.72 × 10-5 37.1
90.0 4.19 × 10-5 41.7
100 4.65 × 10-5 46.4
200 9.31 × 10-5 92.7
300 1.40 × 10-4 139
400 1.86 × 10-4 185
500 2.33 × 10-4 232
600 2.79 × 10-4 278
700 3.26 × 10-4 325
800 3.72 × 10-4 371
900 4.19 × 10-4 417
1000 4.65 × 10-4 464
2000 9.31 × 10-4 927
3000 0.00140 1390
4000 0.00186 1850
5000 0.00233 2320
6000 0.00279 2780
7000 0.00326 3250
8000 0.00372 3710
9000 0.00419 4170
1.00 × 104 0.00465 4640
2.00 × 104 0.00931 9270
3.00 × 104 0.0140 1.39 × 104
4.00 × 104 0.0186 1.85 × 104
5.00 × 104 0.0233 2.32 × 104
6.00 × 104 0.0279 2.78 × 104
7.00 × 104 0.0326 3.25 × 104
8.00 × 104 0.0372 3.71 × 104
9.00 × 104 0.0419 4.17 × 104
1.00 × 105 0.0465 4.64 × 104
2.00 × 105 0.0931 9.27 × 104
3.00 × 105 0.140 1.39 × 105
4.00 × 105 0.186 1.85 × 105
5.00 × 105 0.233 2.32 × 105
6.00 × 105 0.279 2.78 × 105
6.41 × 105 0.298 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 2.98 × 10-4 74.2
50.0 3.72 × 10-4 92.7
60.0 4.47 × 10-4 111
70.0 5.21 × 10-4 130
80.0 5.96 × 10-4 148
90.0 6.70 × 10-4 167
100 7.45 × 10-4 185
200 0.00149 371
300 0.00223 556
400 0.00298 742
500 0.00372 927
600 0.00447 1110
700 0.00521 1300
800 0.00596 1480
900 0.00670 1670
1000 0.00745 1850
2000 0.0149 3710
3000 0.0223 5560
4000 0.0298 7420
5000 0.0372 9270
6000 0.0447 1.11 × 104
7000 0.0521 1.30 × 104
8000 0.0596 1.48 × 104
9000 0.0670 1.67 × 104
1.00 × 104 0.0745 1.85 × 104
2.00 × 104 0.149 3.71 × 104
3.00 × 104 0.223 5.56 × 104
4.00 × 104 0.298 7.42 × 104
5.00 × 104 0.372 9.27 × 104
6.00 × 104 0.447 1.11 × 105
7.00 × 104 0.521 1.30 × 105
8.00 × 104 0.596 1.48 × 105
9.00 × 104 0.670 1.67 × 105
1.00 × 105 0.745 1.85 × 105
1.60 × 105 1.19 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 0.00151 167
50.0 0.00189 209
60.0 0.00226 250
70.0 0.00264 292
80.0 0.00302 334
90.0 0.00339 376
100 0.00377 417
200 0.00754 834
300 0.0113 1250
400 0.0151 1670
500 0.0189 2090
600 0.0226 2500
700 0.0264 2920
800 0.0302 3340
900 0.0339 3760
1000 0.0377 4170
2000 0.0754 8340
3000 0.113 1.25 × 104
4000 0.151 1.67 × 104
5000 0.189 2.09 × 104
6000 0.226 2.50 × 104
7000 0.264 2.92 × 104
8000 0.302 3.34 × 104
9000 0.339 3.76 × 104
1.00 × 104 0.377 4.17 × 104
2.00 × 104 0.754 8.34 × 104
3.00 × 104 1.13 1.25 × 105
4.00 × 104 1.51 1.67 × 105
5.00 × 104 1.89 2.09 × 105
6.00 × 104 2.26 2.50 × 105
7.00 × 104 2.64 2.92 × 105
7.12 × 104 2.68 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 0.00477 297
50.0 0.00596 371
60.0 0.00715 445
70.0 0.00834 519
80.0 0.00953 593
90.0 0.0107 668
100 0.0119 742
200 0.0238 1480
300 0.0357 2230
400 0.0477 2970
500 0.0596 3710
600 0.0715 4450
700 0.0834 5190
800 0.0953 5930
900 0.107 6680
1000 0.119 7420
2000 0.238 1.48 × 104
3000 0.357 2.23 × 104
4000 0.477 2.97 × 104
5000 0.596 3.71 × 104
6000 0.715 4.45 × 104
7000 0.834 5.19 × 104
8000 0.953 5.93 × 104
9000 1.07 6.68 × 104
1.00 × 104 1.19 7.42 × 104
2.00 × 104 2.38 1.48 × 105
3.00 × 104 3.57 2.23 × 105
4.00 × 104 4.77 2.97 × 105
4.00 × 104 4.77 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 0.0116 464
50.0 0.0145 580
60.0 0.0175 695
70.0 0.0204 811
80.0 0.0233 927
90.0 0.0262 1040
100 0.0291 1160
200 0.0582 2320
300 0.0873 3480
400 0.116 4640
500 0.145 5800
600 0.175 6950
700 0.204 8110
800 0.233 9270
900 0.262 1.04 × 104
1000 0.291 1.16 × 104
2000 0.582 2.32 × 104
3000 0.873 3.48 × 104
4000 1.16 4.64 × 104
5000 1.45 5.80 × 104
6000 1.75 6.95 × 104
7000 2.04 8.11 × 104
8000 2.33 9.27 × 104
9000 2.62 1.04 × 105
1.00 × 104 2.91 1.16 × 105
2.00 × 104 5.82 2.32 × 105
2.56 × 104 7.46 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 0.0241 668
50.0 0.0302 834
60.0 0.0362 1000
70.0 0.0422 1170
80.0 0.0483 1340
90.0 0.0543 1500
100 0.0603 1670
200 0.121 3340
300 0.181 5010
400 0.241 6680
500 0.302 8340
600 0.362 1.00 × 104
700 0.422 1.17 × 104
800 0.483 1.34 × 104
900 0.543 1.50 × 104
1000 0.603 1.67 × 104
2000 1.21 3.34 × 104
3000 1.81 5.01 × 104
4000 2.41 6.68 × 104
5000 3.02 8.34 × 104
6000 3.62 1.00 × 105
7000 4.22 1.17 × 105
8000 4.83 1.34 × 105
9000 5.43 1.50 × 105
1.00 × 104 6.03 1.67 × 105
1.78 × 104 10.7 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 0.0763 1190
50.0 0.0953 1480
60.0 0.114 1780
70.0 0.133 2080
80.0 0.153 2370
90.0 0.172 2670
100 0.191 2970
200 0.381 5930
300 0.572 8900
400 0.763 1.19 × 104
500 0.953 1.48 × 104
600 1.14 1.78 × 104
700 1.33 2.08 × 104
800 1.53 2.37 × 104
900 1.72 2.67 × 104
1000 1.91 2.97 × 104
2000 3.81 5.93 × 104
3000 5.72 8.90 × 104
4000 7.63 1.19 × 105
5000 9.53 1.48 × 105
6000 11.4 1.78 × 105
7000 13.3 2.08 × 105
8000 15.3 2.37 × 105
8400 16.0 2.49 × 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 0.186 1850
50.0 0.233 2320
60.0 0.279 2780
70.0 0.326 3250
80.0 0.372 3710
90.0 0.419 4170
100 0.465 4640
200 0.931 9270
300 1.40 1.39 × 104
400 1.86 1.85 × 104
500 2.33 2.32 × 104
600 2.79 2.78 × 104
700 3.26 3.25 × 104
800 3.72 3.71 × 104
900 4.19 4.17 × 104
1000 4.65 4.64 × 104
2000 9.31 9.27 × 104
3000 14.0 1.39 × 105
3440 16.0 1.59 × 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 0.386 2670
50.0 0.483 3340
60.0 0.579 4010
70.0 0.676 4670
80.0 0.772 5340
90.0 0.869 6010
100 0.965 6680
200 1.93 1.34 × 104
300 2.90 2.00 × 104
400 3.86 2.67 × 104
500 4.83 3.34 × 104
600 5.79 4.01 × 104
700 6.76 4.67 × 104
800 7.72 5.34 × 104
900 8.69 6.01 × 104
1000 9.65 6.68 × 104
1660 16.0 1.11 × 105
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 0.715 3630
50.0 0.894 4540
60.0 1.07 5450
70.0 1.25 6360
80.0 1.43 7270
90.0 1.61 8180
100 1.79 9090
200 3.58 1.82 × 104
300 5.36 2.73 × 104
400 7.15 3.63 × 104
500 8.94 4.54 × 104
600 10.7 5.45 × 104
700 12.5 6.36 × 104
800 14.3 7.27 × 104
895 16.0 8.14 × 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 1.22 4750
50.0 1.53 5930
60.0 1.83 7120
70.0 2.14 8310
80.0 2.44 9490
90.0 2.75 1.07 × 104
100 3.05 1.19 × 104
200 6.10 2.37 × 104
300 9.15 3.56 × 104
400 12.2 4.75 × 104
500 15.3 5.93 × 104
525 16.0 6.23 × 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 1.95 6010
50.0 2.44 7510
60.0 2.93 9010
70.0 3.42 1.05 × 104
80.0 3.91 1.20 × 104
90.0 4.40 1.35 × 104
100 4.89 1.50 × 104
200 9.77 3.00 × 104
300 14.7 4.51 × 104
328 16.0 4.92 × 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 2.98 7420
50.0 3.72 9270
60.0 4.47 1.11 × 104
70.0 5.21 1.30 × 104
80.0 5.96 1.48 × 104
90.0 6.70 1.67 × 104
100 7.45 1.85 × 104
200 14.9 3.71 × 104
215 16.0 3.99 × 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 7.27 1.16 × 104
50.0 9.09 1.45 × 104
60.0 10.9 1.74 × 104
70.0 12.7 2.03 × 104
80.0 14.5 2.32 × 104
88.1 16.0 2.55 × 104
Steel I Beam: W16 × 40 (Wide Flange 16 inch tall × 40 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
40.0 15.1 1.67 × 104
42.5 16.0 1.77 × 104
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