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Wide Flange Steel I Beam: W12 × 16
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W12 × 16
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 = 103 in4) for the W12 × 16 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
  
Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
16.0 4.85 × 10-6 10.1
20.0 6.07 × 10-6 12.6
30.0 9.10 × 10-6 18.9
40.0 1.21 × 10-5 25.1
50.0 1.52 × 10-5 31.4
60.0 1.82 × 10-5 37.7
70.0 2.12 × 10-5 44.0
80.0 2.43 × 10-5 50.3
90.0 2.73 × 10-5 56.6
100 3.03 × 10-5 62.9
200 6.07 × 10-5 126
300 9.10 × 10-5 189
400 1.21 × 10-4 251
500 1.52 × 10-4 314
600 1.82 × 10-4 377
700 2.12 × 10-4 440
800 2.43 × 10-4 503
900 2.73 × 10-4 566
1000 3.03 × 10-4 629
2000 6.07 × 10-4 1260
3000 9.10 × 10-4 1890
4000 0.00121 2510
5000 0.00152 3140
6000 0.00182 3770
7000 0.00212 4400
8000 0.00243 5030
9000 0.00273 5660
1.00 × 104 0.00303 6290
2.00 × 104 0.00607 1.26 × 104
3.00 × 104 0.00910 1.89 × 104
4.00 × 104 0.0121 2.51 × 104
5.00 × 104 0.0152 3.14 × 104
6.00 × 104 0.0182 3.77 × 104
7.00 × 104 0.0212 4.40 × 104
8.00 × 104 0.0243 5.03 × 104
9.00 × 104 0.0273 5.66 × 104
1.00 × 105 0.0303 6.29 × 104
2.00 × 105 0.0607 1.26 × 105
3.00 × 105 0.0910 1.89 × 105
4.00 × 105 0.121 2.51 × 105
4.73 × 105 0.143 2.97 × 105
Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
16.0 3.75 × 10-5 27.9
20.0 4.68 × 10-5 34.9
30.0 7.02 × 10-5 52.4
40.0 9.36 × 10-5 69.8
50.0 1.17 × 10-4 87.3
60.0 1.40 × 10-4 105
70.0 1.64 × 10-4 122
80.0 1.87 × 10-4 140
90.0 2.11 × 10-4 157
100 2.34 × 10-4 175
200 4.68 × 10-4 349
300 7.02 × 10-4 524
400 9.36 × 10-4 698
500 0.00117 873
600 0.00140 1050
700 0.00164 1220
800 0.00187 1400
900 0.00211 1570
1000 0.00234 1750
2000 0.00468 3490
3000 0.00702 5240
4000 0.00936 6980
5000 0.0117 8730
6000 0.0140 1.05 × 104
7000 0.0164 1.22 × 104
8000 0.0187 1.40 × 104
9000 0.0211 1.57 × 104
1.00 × 104 0.0234 1.75 × 104
2.00 × 104 0.0468 3.49 × 104
3.00 × 104 0.0702 5.24 × 104
4.00 × 104 0.0936 6.98 × 104
5.00 × 104 0.117 8.73 × 104
6.00 × 104 0.140 1.05 × 105
7.00 × 104 0.164 1.22 × 105
8.00 × 104 0.187 1.40 × 105
9.00 × 104 0.211 1.57 × 105
1.00 × 105 0.234 1.75 × 105
1.70 × 105 0.398 2.97 × 105
Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
16.0 5.99 × 10-4 112
20.0 7.49 × 10-4 140
30.0 0.00112 210
40.0 0.00150 279
50.0 0.00187 349
60.0 0.00225 419
70.0 0.00262 489
80.0 0.00300 559
90.0 0.00337 629
100 0.00375 698
200 0.00749 1400
300 0.0112 2100
400 0.0150 2790
500 0.0187 3490
600 0.0225 4190
700 0.0262 4890
800 0.0300 5590
900 0.0337 6290
1000 0.0375 6980
2000 0.0749 1.40 × 104
3000 0.112 2.10 × 104
4000 0.150 2.79 × 104
5000 0.187 3.49 × 104
6000 0.225 4.19 × 104
7000 0.262 4.89 × 104
8000 0.300 5.59 × 104
9000 0.337 6.29 × 104
1.00 × 104 0.375 6.98 × 104
2.00 × 104 0.749 1.40 × 105
3.00 × 104 1.12 2.10 × 105
4.00 × 104 1.50 2.79 × 105
4.25 × 104 1.59 2.97 × 105
Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
16.0 0.00303 251
20.0 0.00379 314
30.0 0.00569 471
40.0 0.00758 629
50.0 0.00948 786
60.0 0.0114 943
70.0 0.0133 1100
80.0 0.0152 1260
90.0 0.0171 1410
100 0.0190 1570
200 0.0379 3140
300 0.0569 4710
400 0.0758 6290
500 0.0948 7860
600 0.114 9430
700 0.133 1.10 × 104
800 0.152 1.26 × 104
900 0.171 1.41 × 104
1000 0.190 1.57 × 104
2000 0.379 3.14 × 104
3000 0.569 4.71 × 104
4000 0.758 6.29 × 104
5000 0.948 7.86 × 104
6000 1.14 9.43 × 104
7000 1.33 1.10 × 105
8000 1.52 1.26 × 105
9000 1.71 1.41 × 105
1.00 × 104 1.90 1.57 × 105
1.89 × 104 3.58 2.97 × 105
Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
16.0 0.00959 447
20.0 0.0120 559
30.0 0.0180 838
40.0 0.0240 1120
50.0 0.0300 1400
60.0 0.0360 1680
70.0 0.0420 1960
80.0 0.0479 2240
90.0 0.0539 2510
100 0.0599 2790
200 0.120 5590
300 0.180 8380
400 0.240 1.12 × 104
500 0.300 1.40 × 104
600 0.360 1.68 × 104
700 0.420 1.96 × 104
800 0.479 2.24 × 104
900 0.539 2.51 × 104
1000 0.599 2.79 × 104
2000 1.20 5.59 × 104
3000 1.80 8.38 × 104
4000 2.40 1.12 × 105
5000 3.00 1.40 × 105
6000 3.60 1.68 × 105
7000 4.20 1.96 × 105
8000 4.79 2.24 × 105
9000 5.39 2.51 × 105
1.00 × 104 5.99 2.79 × 105
1.06 × 104 6.37 2.97 × 105
Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
16.0 0.0234 698
20.0 0.0293 873
30.0 0.0439 1310
40.0 0.0585 1750
50.0 0.0732 2180
60.0 0.0878 2620
70.0 0.102 3060
80.0 0.117 3490
90.0 0.132 3930
100 0.146 4370
200 0.293 8730
300 0.439 1.31 × 104
400 0.585 1.75 × 104
500 0.732 2.18 × 104
600 0.878 2.62 × 104
700 1.02 3.06 × 104
800 1.17 3.49 × 104
900 1.32 3.93 × 104
1000 1.46 4.37 × 104
2000 2.93 8.73 × 104
3000 4.39 1.31 × 105
4000 5.85 1.75 × 105
5000 7.32 2.18 × 105
6000 8.78 2.62 × 105
6800 9.96 2.97 × 105
Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
16.0 0.0485 1010
20.0 0.0607 1260
30.0 0.0910 1890
40.0 0.121 2510
50.0 0.152 3140
60.0 0.182 3770
70.0 0.212 4400
80.0 0.243 5030
90.0 0.273 5660
100 0.303 6290
200 0.607 1.26 × 104
300 0.910 1.89 × 104
400 1.21 2.51 × 104
500 1.52 3.14 × 104
600 1.82 3.77 × 104
700 2.12 4.40 × 104
800 2.43 5.03 × 104
900 2.73 5.66 × 104
1000 3.03 6.29 × 104
2000 6.07 1.26 × 105
3000 9.10 1.89 × 105
3950 12.0 2.48 × 105
Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
16.0 0.153 1790
20.0 0.192 2240
30.0 0.288 3350
40.0 0.384 4470
50.0 0.479 5590
60.0 0.575 6710
70.0 0.671 7820
80.0 0.767 8940
90.0 0.863 1.01 × 104
100 0.959 1.12 × 104
200 1.92 2.24 × 104
300 2.88 3.35 × 104
400 3.84 4.47 × 104
500 4.79 5.59 × 104
600 5.75 6.71 × 104
700 6.71 7.82 × 104
800 7.67 8.94 × 104
900 8.63 1.01 × 105
1000 9.59 1.12 × 105
1250 12.0 1.40 × 105
Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
16.0 0.375 2790
20.0 0.468 3490
30.0 0.702 5240
40.0 0.936 6980
50.0 1.17 8730
60.0 1.40 1.05 × 104
70.0 1.64 1.22 × 104
80.0 1.87 1.40 × 104
90.0 2.11 1.57 × 104
100 2.34 1.75 × 104
200 4.68 3.49 × 104
300 7.02 5.24 × 104
400 9.36 6.98 × 104
500 11.7 8.73 × 104
512 12.0 8.94 × 104
Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
16.0 0.777 4020
20.0 0.971 5030
30.0 1.46 7540
40.0 1.94 1.01 × 104
50.0 2.43 1.26 × 104
60.0 2.91 1.51 × 104
70.0 3.40 1.76 × 104
80.0 3.88 2.01 × 104
90.0 4.37 2.26 × 104
100 4.85 2.51 × 104
200 9.71 5.03 × 104
247 12.0 6.21 × 104
Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
16.0 1.44 5480
20.0 1.80 6840
30.0 2.70 1.03 × 104
40.0 3.60 1.37 × 104
50.0 4.50 1.71 × 104
60.0 5.40 2.05 × 104
70.0 6.30 2.40 × 104
80.0 7.19 2.74 × 104
90.0 8.09 3.08 × 104
100 8.99 3.42 × 104
133 12.0 4.56 × 104
Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
16.0 2.45 7150
20.0 3.07 8940
30.0 4.60 1.34 × 104
40.0 6.14 1.79 × 104
50.0 7.67 2.24 × 104
60.0 9.21 2.68 × 104
70.0 10.7 3.13 × 104
78.2 12.0 3.49 × 104
Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
16.0 3.93 9050
20.0 4.91 1.13 × 104
30.0 7.37 1.70 × 104
40.0 9.83 2.26 × 104
48.8 12.0 2.76 × 104
Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
16.0 5.99 1.12 × 104
20.0 7.49 1.40 × 104
30.0 11.2 2.10 × 104
32.0 12.0 2.24 × 104
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