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Wide Flange Steel I Beam: W16 × 36
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W16 × 36
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 = 448 in4) for the W16 × 36 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 × 36 (Wide Flange 16 inch tall × 36 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
36.0 2.33 × 10-6 7.37
40.0 2.58 × 10-6 8.19
50.0 3.23 × 10-6 10.2
60.0 3.88 × 10-6 12.3
70.0 4.52 × 10-6 14.3
80.0 5.17 × 10-6 16.4
90.0 5.82 × 10-6 18.4
100 6.46 × 10-6 20.5
200 1.29 × 10-5 40.9
300 1.94 × 10-5 61.4
400 2.58 × 10-5 81.9
500 3.23 × 10-5 102
600 3.88 × 10-5 123
700 4.52 × 10-5 143
800 5.17 × 10-5 164
900 5.82 × 10-5 184
1000 6.46 × 10-5 205
2000 1.29 × 10-4 409
3000 1.94 × 10-4 614
4000 2.58 × 10-4 819
5000 3.23 × 10-4 1020
6000 3.88 × 10-4 1230
7000 4.52 × 10-4 1430
8000 5.17 × 10-4 1640
9000 5.82 × 10-4 1840
1.00 × 104 6.46 × 10-4 2050
2.00 × 104 0.00129 4090
3.00 × 104 0.00194 6140
4.00 × 104 0.00258 8190
5.00 × 104 0.00323 1.02 × 104
6.00 × 104 0.00388 1.23 × 104
7.00 × 104 0.00452 1.43 × 104
8.00 × 104 0.00517 1.64 × 104
9.00 × 104 0.00582 1.84 × 104
1.00 × 105 0.00646 2.05 × 104
2.00 × 105 0.0129 4.09 × 104
3.00 × 105 0.0194 6.14 × 104
4.00 × 105 0.0258 8.19 × 104
5.00 × 105 0.0323 1.02 × 105
6.00 × 105 0.0388 1.23 × 105
7.00 × 105 0.0452 1.43 × 105
8.00 × 105 0.0517 1.64 × 105
9.00 × 105 0.0582 1.84 × 105
1.00 × 106 0.0646 2.05 × 105
1.45 × 106 0.0938 2.97 × 105
Steel I Beam: W16 × 36 (Wide Flange 16 inch tall × 36 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
36.0 1.80 × 10-5 20.5
40.0 1.99 × 10-5 22.7
50.0 2.49 × 10-5 28.4
60.0 2.99 × 10-5 34.1
70.0 3.49 × 10-5 39.8
80.0 3.99 × 10-5 45.5
90.0 4.49 × 10-5 51.2
100 4.99 × 10-5 56.9
200 9.97 × 10-5 114
300 1.50 × 10-4 171
400 1.99 × 10-4 227
500 2.49 × 10-4 284
600 2.99 × 10-4 341
700 3.49 × 10-4 398
800 3.99 × 10-4 455
900 4.49 × 10-4 512
1000 4.99 × 10-4 569
2000 9.97 × 10-4 1140
3000 0.00150 1710
4000 0.00199 2270
5000 0.00249 2840
6000 0.00299 3410
7000 0.00349 3980
8000 0.00399 4550
9000 0.00449 5120
1.00 × 104 0.00499 5690
2.00 × 104 0.00997 1.14 × 104
3.00 × 104 0.0150 1.71 × 104
4.00 × 104 0.0199 2.27 × 104
5.00 × 104 0.0249 2.84 × 104
6.00 × 104 0.0299 3.41 × 104
7.00 × 104 0.0349 3.98 × 104
8.00 × 104 0.0399 4.55 × 104
9.00 × 104 0.0449 5.12 × 104
1.00 × 105 0.0499 5.69 × 104
2.00 × 105 0.0997 1.14 × 105
3.00 × 105 0.150 1.71 × 105
4.00 × 105 0.199 2.27 × 105
5.00 × 105 0.249 2.84 × 105
5.22 × 105 0.260 2.97 × 105
Steel I Beam: W16 × 36 (Wide Flange 16 inch tall × 36 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
36.0 2.87 × 10-4 81.9
40.0 3.19 × 10-4 91.0
50.0 3.99 × 10-4 114
60.0 4.79 × 10-4 136
70.0 5.58 × 10-4 159
80.0 6.38 × 10-4 182
90.0 7.18 × 10-4 205
100 7.98 × 10-4 227
200 0.00160 455
300 0.00239 682
400 0.00319 910
500 0.00399 1140
600 0.00479 1360
700 0.00558 1590
800 0.00638 1820
900 0.00718 2050
1000 0.00798 2270
2000 0.0160 4550
3000 0.0239 6820
4000 0.0319 9100
5000 0.0399 1.14 × 104
6000 0.0479 1.36 × 104
7000 0.0558 1.59 × 104
8000 0.0638 1.82 × 104
9000 0.0718 2.05 × 104
1.00 × 104 0.0798 2.27 × 104
2.00 × 104 0.160 4.55 × 104
3.00 × 104 0.239 6.82 × 104
4.00 × 104 0.319 9.10 × 104
5.00 × 104 0.399 1.14 × 105
6.00 × 104 0.479 1.36 × 105
7.00 × 104 0.558 1.59 × 105
8.00 × 104 0.638 1.82 × 105
9.00 × 104 0.718 2.05 × 105
1.00 × 105 0.798 2.27 × 105
1.31 × 105 1.04 2.97 × 105
Steel I Beam: W16 × 36 (Wide Flange 16 inch tall × 36 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
36.0 0.00145 184
40.0 0.00162 205
50.0 0.00202 256
60.0 0.00242 307
70.0 0.00283 358
80.0 0.00323 409
90.0 0.00364 461
100 0.00404 512
200 0.00808 1020
300 0.0121 1540
400 0.0162 2050
500 0.0202 2560
600 0.0242 3070
700 0.0283 3580
800 0.0323 4090
900 0.0364 4610
1000 0.0404 5120
2000 0.0808 1.02 × 104
3000 0.121 1.54 × 104
4000 0.162 2.05 × 104
5000 0.202 2.56 × 104
6000 0.242 3.07 × 104
7000 0.283 3.58 × 104
8000 0.323 4.09 × 104
9000 0.364 4.61 × 104
1.00 × 104 0.404 5.12 × 104
2.00 × 104 0.808 1.02 × 105
3.00 × 104 1.21 1.54 × 105
4.00 × 104 1.62 2.05 × 105
5.00 × 104 2.02 2.56 × 105
5.80 × 104 2.34 2.97 × 105
Steel I Beam: W16 × 36 (Wide Flange 16 inch tall × 36 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
36.0 0.00460 328
40.0 0.00511 364
50.0 0.00638 455
60.0 0.00766 546
70.0 0.00894 637
80.0 0.0102 728
90.0 0.0115 819
100 0.0128 910
200 0.0255 1820
300 0.0383 2730
400 0.0511 3640
500 0.0638 4550
600 0.0766 5460
700 0.0894 6370
800 0.102 7280
900 0.115 8190
1000 0.128 9100
2000 0.255 1.82 × 104
3000 0.383 2.73 × 104
4000 0.511 3.64 × 104
5000 0.638 4.55 × 104
6000 0.766 5.46 × 104
7000 0.894 6.37 × 104
8000 1.02 7.28 × 104
9000 1.15 8.19 × 104
1.00 × 104 1.28 9.10 × 104
2.00 × 104 2.55 1.82 × 105
3.00 × 104 3.83 2.73 × 105
3.26 × 104 4.17 2.97 × 105
Steel I Beam: W16 × 36 (Wide Flange 16 inch tall × 36 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
36.0 0.0112 512
40.0 0.0125 569
50.0 0.0156 711
60.0 0.0187 853
70.0 0.0218 995
80.0 0.0249 1140
90.0 0.0280 1280
100 0.0312 1420
200 0.0623 2840
300 0.0935 4270
400 0.125 5690
500 0.156 7110
600 0.187 8530
700 0.218 9950
800 0.249 1.14 × 104
900 0.280 1.28 × 104
1000 0.312 1.42 × 104
2000 0.623 2.84 × 104
3000 0.935 4.27 × 104
4000 1.25 5.69 × 104
5000 1.56 7.11 × 104
6000 1.87 8.53 × 104
7000 2.18 9.95 × 104
8000 2.49 1.14 × 105
9000 2.80 1.28 × 105
1.00 × 104 3.12 1.42 × 105
2.00 × 104 6.23 2.84 × 105
2.09 × 104 6.51 2.97 × 105
Steel I Beam: W16 × 36 (Wide Flange 16 inch tall × 36 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
36.0 0.0233 737
40.0 0.0258 819
50.0 0.0323 1020
60.0 0.0388 1230
70.0 0.0452 1430
80.0 0.0517 1640
90.0 0.0582 1840
100 0.0646 2050
200 0.129 4090
300 0.194 6140
400 0.258 8190
500 0.323 1.02 × 104
600 0.388 1.23 × 104
700 0.452 1.43 × 104
800 0.517 1.64 × 104
900 0.582 1.84 × 104
1000 0.646 2.05 × 104
2000 1.29 4.09 × 104
3000 1.94 6.14 × 104
4000 2.58 8.19 × 104
5000 3.23 1.02 × 105
6000 3.88 1.23 × 105
7000 4.52 1.43 × 105
8000 5.17 1.64 × 105
9000 5.82 1.84 × 105
1.00 × 104 6.46 2.05 × 105
1.45 × 104 9.38 2.97 × 105
Steel I Beam: W16 × 36 (Wide Flange 16 inch tall × 36 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
36.0 0.0735 1310
40.0 0.0817 1460
50.0 0.102 1820
60.0 0.123 2180
70.0 0.143 2550
80.0 0.163 2910
90.0 0.184 3280
100 0.204 3640
200 0.408 7280
300 0.613 1.09 × 104
400 0.817 1.46 × 104
500 1.02 1.82 × 104
600 1.23 2.18 × 104
700 1.43 2.55 × 104
800 1.63 2.91 × 104
900 1.84 3.28 × 104
1000 2.04 3.64 × 104
2000 4.08 7.28 × 104
3000 6.13 1.09 × 105
4000 8.17 1.46 × 105
5000 10.2 1.82 × 105
6000 12.3 2.18 × 105
7000 14.3 2.55 × 105
7770 15.9 2.83 × 105
Steel I Beam: W16 × 36 (Wide Flange 16 inch tall × 36 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
36.0 0.180 2050
40.0 0.199 2270
50.0 0.249 2840
60.0 0.299 3410
70.0 0.349 3980
80.0 0.399 4550
90.0 0.449 5120
100 0.499 5690
200 0.997 1.14 × 104
300 1.50 1.71 × 104
400 1.99 2.27 × 104
500 2.49 2.84 × 104
600 2.99 3.41 × 104
700 3.49 3.98 × 104
800 3.99 4.55 × 104
900 4.49 5.12 × 104
1000 4.99 5.69 × 104
2000 9.97 1.14 × 105
3000 15.0 1.71 × 105
3180 15.9 1.81 × 105
Steel I Beam: W16 × 36 (Wide Flange 16 inch tall × 36 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
36.0 0.372 2950
40.0 0.414 3280
50.0 0.517 4090
60.0 0.620 4910
70.0 0.724 5730
80.0 0.827 6550
90.0 0.931 7370
100 1.03 8190
200 2.07 1.64 × 104
300 3.10 2.46 × 104
400 4.14 3.28 × 104
500 5.17 4.09 × 104
600 6.20 4.91 × 104
700 7.24 5.73 × 104
800 8.27 6.55 × 104
900 9.31 7.37 × 104
1000 10.3 8.19 × 104
1530 15.9 1.26 × 105
Steel I Beam: W16 × 36 (Wide Flange 16 inch tall × 36 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
36.0 0.690 4010
40.0 0.766 4460
50.0 0.958 5570
60.0 1.15 6690
70.0 1.34 7800
80.0 1.53 8920
90.0 1.72 1.00 × 104
100 1.92 1.11 × 104
200 3.83 2.23 × 104
300 5.75 3.34 × 104
400 7.66 4.46 × 104
500 9.58 5.57 × 104
600 11.5 6.69 × 104
700 13.4 7.80 × 104
800 15.3 8.92 × 104
828 15.9 9.23 × 104
Steel I Beam: W16 × 36 (Wide Flange 16 inch tall × 36 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
36.0 1.18 5240
40.0 1.31 5820
50.0 1.63 7280
60.0 1.96 8740
70.0 2.29 1.02 × 104
80.0 2.61 1.16 × 104
90.0 2.94 1.31 × 104
100 3.27 1.46 × 104
200 6.54 2.91 × 104
300 9.80 4.37 × 104
400 13.1 5.82 × 104
485 15.9 7.07 × 104
Steel I Beam: W16 × 36 (Wide Flange 16 inch tall × 36 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
36.0 1.88 6630
40.0 2.09 7370
50.0 2.62 9210
60.0 3.14 1.11 × 104
70.0 3.66 1.29 × 104
80.0 4.19 1.47 × 104
90.0 4.71 1.66 × 104
100 5.23 1.84 × 104
200 10.5 3.69 × 104
300 15.7 5.53 × 104
303 15.9 5.58 × 104
Steel I Beam: W16 × 36 (Wide Flange 16 inch tall × 36 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
36.0 2.87 8190
40.0 3.19 9100
50.0 3.99 1.14 × 104
60.0 4.79 1.36 × 104
70.0 5.58 1.59 × 104
80.0 6.38 1.82 × 104
90.0 7.18 2.05 × 104
100 7.98 2.27 × 104
199 15.9 4.52 × 104
Steel I Beam: W16 × 36 (Wide Flange 16 inch tall × 36 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
36.0 7.01 1.28 × 104
40.0 7.79 1.42 × 104
50.0 9.74 1.78 × 104
60.0 11.7 2.13 × 104
70.0 13.6 2.49 × 104
80.0 15.6 2.84 × 104
81.4 15.9 2.89 × 104
Steel I Beam: W16 × 36 (Wide Flange 16 inch tall × 36 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
36.0 14.5 1.84 × 104
39.3 15.9 2.01 × 104
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