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Wide Flange Steel I Beam: W12 × 16
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 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 = 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
L = 125 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 3.72 × 10-6 12.6
20.0 4.65 × 10-6 15.7
30.0 6.97 × 10-6 23.6
40.0 9.29 × 10-6 31.4
50.0 1.16 × 10-5 39.3
60.0 1.39 × 10-5 47.1
70.0 1.63 × 10-5 55.0
80.0 1.86 × 10-5 62.9
90.0 2.09 × 10-5 70.7
100 2.32 × 10-5 78.6
200 4.65 × 10-5 157
300 6.97 × 10-5 236
400 9.29 × 10-5 314
500 1.16 × 10-4 393
600 1.39 × 10-4 471
700 1.63 × 10-4 550
800 1.86 × 10-4 629
900 2.09 × 10-4 707
1000 2.32 × 10-4 786
2000 4.65 × 10-4 1570
3000 6.97 × 10-4 2360
4000 9.29 × 10-4 3140
5000 0.00116 3930
6000 0.00139 4710
7000 0.00163 5500
8000 0.00186 6290
9000 0.00209 7070
1.00 × 104 0.00232 7860
2.00 × 104 0.00465 1.57 × 104
3.00 × 104 0.00697 2.36 × 104
4.00 × 104 0.00929 3.14 × 104
5.00 × 104 0.0116 3.93 × 104
6.00 × 104 0.0139 4.71 × 104
7.00 × 104 0.0163 5.50 × 104
8.00 × 104 0.0186 6.29 × 104
9.00 × 104 0.0209 7.07 × 104
1.00 × 105 0.0232 7.86 × 104
2.00 × 105 0.0465 1.57 × 105
3.00 × 105 0.0697 2.36 × 105
3.78 × 105 0.0878 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 2.87 × 10-5 34.9
20.0 3.59 × 10-5 43.7
30.0 5.38 × 10-5 65.5
40.0 7.17 × 10-5 87.3
50.0 8.97 × 10-5 109
60.0 1.08 × 10-4 131
70.0 1.26 × 10-4 153
80.0 1.43 × 10-4 175
90.0 1.61 × 10-4 196
100 1.79 × 10-4 218
200 3.59 × 10-4 437
300 5.38 × 10-4 655
400 7.17 × 10-4 873
500 8.97 × 10-4 1090
600 0.00108 1310
700 0.00126 1530
800 0.00143 1750
900 0.00161 1960
1000 0.00179 2180
2000 0.00359 4370
3000 0.00538 6550
4000 0.00717 8730
5000 0.00897 1.09 × 104
6000 0.0108 1.31 × 104
7000 0.0126 1.53 × 104
8000 0.0143 1.75 × 104
9000 0.0161 1.96 × 104
1.00 × 104 0.0179 2.18 × 104
2.00 × 104 0.0359 4.37 × 104
3.00 × 104 0.0538 6.55 × 104
4.00 × 104 0.0717 8.73 × 104
5.00 × 104 0.0897 1.09 × 105
6.00 × 104 0.108 1.31 × 105
7.00 × 104 0.126 1.53 × 105
8.00 × 104 0.143 1.75 × 105
9.00 × 104 0.161 1.96 × 105
1.00 × 105 0.179 2.18 × 105
1.36 × 105 0.244 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 4.59 × 10-4 140
20.0 5.74 × 10-4 175
30.0 8.61 × 10-4 262
40.0 0.00115 349
50.0 0.00143 437
60.0 0.00172 524
70.0 0.00201 611
80.0 0.00230 698
90.0 0.00258 786
100 0.00287 873
200 0.00574 1750
300 0.00861 2620
400 0.0115 3490
500 0.0143 4370
600 0.0172 5240
700 0.0201 6110
800 0.0230 6980
900 0.0258 7860
1000 0.0287 8730
2000 0.0574 1.75 × 104
3000 0.0861 2.62 × 104
4000 0.115 3.49 × 104
5000 0.143 4.37 × 104
6000 0.172 5.24 × 104
7000 0.201 6.11 × 104
8000 0.230 6.98 × 104
9000 0.258 7.86 × 104
1.00 × 104 0.287 8.73 × 104
2.00 × 104 0.574 1.75 × 105
3.00 × 104 0.861 2.62 × 105
3.40 × 104 0.976 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 0.00232 314
20.0 0.00290 393
30.0 0.00436 589
40.0 0.00581 786
50.0 0.00726 982
60.0 0.00871 1180
70.0 0.0102 1380
80.0 0.0116 1570
90.0 0.0131 1770
100 0.0145 1960
200 0.0290 3930
300 0.0436 5890
400 0.0581 7860
500 0.0726 9820
600 0.0871 1.18 × 104
700 0.102 1.38 × 104
800 0.116 1.57 × 104
900 0.131 1.77 × 104
1000 0.145 1.96 × 104
2000 0.290 3.93 × 104
3000 0.436 5.89 × 104
4000 0.581 7.86 × 104
5000 0.726 9.82 × 104
6000 0.871 1.18 × 105
7000 1.02 1.38 × 105
8000 1.16 1.57 × 105
9000 1.31 1.77 × 105
1.00 × 104 1.45 1.96 × 105
1.51 × 104 2.20 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 0.00734 559
20.0 0.00918 698
30.0 0.0138 1050
40.0 0.0184 1400
50.0 0.0230 1750
60.0 0.0275 2100
70.0 0.0321 2440
80.0 0.0367 2790
90.0 0.0413 3140
100 0.0459 3490
200 0.0918 6980
300 0.138 1.05 × 104
400 0.184 1.40 × 104
500 0.230 1.75 × 104
600 0.275 2.10 × 104
700 0.321 2.44 × 104
800 0.367 2.79 × 104
900 0.413 3.14 × 104
1000 0.459 3.49 × 104
2000 0.918 6.98 × 104
3000 1.38 1.05 × 105
4000 1.84 1.40 × 105
5000 2.30 1.75 × 105
6000 2.75 2.10 × 105
7000 3.21 2.44 × 105
8000 3.67 2.79 × 105
8510 3.90 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 0.0179 873
20.0 0.0224 1090
30.0 0.0336 1640
40.0 0.0448 2180
50.0 0.0560 2730
60.0 0.0672 3270
70.0 0.0784 3820
80.0 0.0897 4370
90.0 0.101 4910
100 0.112 5460
200 0.224 1.09 × 104
300 0.336 1.64 × 104
400 0.448 2.18 × 104
500 0.560 2.73 × 104
600 0.672 3.27 × 104
700 0.784 3.82 × 104
800 0.897 4.37 × 104
900 1.01 4.91 × 104
1000 1.12 5.46 × 104
2000 2.24 1.09 × 105
3000 3.36 1.64 × 105
4000 4.48 2.18 × 105
5000 5.60 2.73 × 105
5440 6.10 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 0.0372 1260
20.0 0.0465 1570
30.0 0.0697 2360
40.0 0.0929 3140
50.0 0.116 3930
60.0 0.139 4710
70.0 0.163 5500
80.0 0.186 6290
90.0 0.209 7070
100 0.232 7860
200 0.465 1.57 × 104
300 0.697 2.36 × 104
400 0.929 3.14 × 104
500 1.16 3.93 × 104
600 1.39 4.71 × 104
700 1.63 5.50 × 104
800 1.86 6.29 × 104
900 2.09 7.07 × 104
1000 2.32 7.86 × 104
2000 4.65 1.57 × 105
3000 6.97 2.36 × 105
3780 8.78 2.97 × 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 0.118 2240
20.0 0.147 2790
30.0 0.220 4190
40.0 0.294 5590
50.0 0.367 6980
60.0 0.441 8380
70.0 0.514 9780
80.0 0.588 1.12 × 104
90.0 0.661 1.26 × 104
100 0.734 1.40 × 104
200 1.47 2.79 × 104
300 2.20 4.19 × 104
400 2.94 5.59 × 104
500 3.67 6.98 × 104
600 4.41 8.38 × 104
700 5.14 9.78 × 104
800 5.88 1.12 × 105
900 6.61 1.26 × 105
1000 7.34 1.40 × 105
1630 12.0 2.28 × 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 0.287 3490
20.0 0.359 4370
30.0 0.538 6550
40.0 0.717 8730
50.0 0.897 1.09 × 104
60.0 1.08 1.31 × 104
70.0 1.26 1.53 × 104
80.0 1.43 1.75 × 104
90.0 1.61 1.96 × 104
100 1.79 2.18 × 104
200 3.59 4.37 × 104
300 5.38 6.55 × 104
400 7.17 8.73 × 104
500 8.97 1.09 × 105
600 10.8 1.31 × 105
669 12.0 1.46 × 105
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 0.595 5030
20.0 0.744 6290
30.0 1.12 9430
40.0 1.49 1.26 × 104
50.0 1.86 1.57 × 104
60.0 2.23 1.89 × 104
70.0 2.60 2.20 × 104
80.0 2.97 2.51 × 104
90.0 3.35 2.83 × 104
100 3.72 3.14 × 104
200 7.44 6.29 × 104
300 11.2 9.43 × 104
322 12.0 1.01 × 105
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 1.10 6840
20.0 1.38 8560
30.0 2.07 1.28 × 104
40.0 2.76 1.71 × 104
50.0 3.44 2.14 × 104
60.0 4.13 2.57 × 104
70.0 4.82 2.99 × 104
80.0 5.51 3.42 × 104
90.0 6.20 3.85 × 104
100 6.89 4.28 × 104
174 12.0 7.45 × 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 1.88 8940
20.0 2.35 1.12 × 104
30.0 3.53 1.68 × 104
40.0 4.70 2.24 × 104
50.0 5.88 2.79 × 104
60.0 7.05 3.35 × 104
70.0 8.23 3.91 × 104
80.0 9.40 4.47 × 104
90.0 10.6 5.03 × 104
100 11.8 5.59 × 104
102 12.0 5.70 × 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 3.01 1.13 × 104
20.0 3.76 1.41 × 104
30.0 5.65 2.12 × 104
40.0 7.53 2.83 × 104
50.0 9.41 3.54 × 104
60.0 11.3 4.24 × 104
63.7 12.0 4.50 × 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 4.59 1.40 × 104
20.0 5.74 1.75 × 104
30.0 8.61 2.62 × 104
40.0 11.5 3.49 × 104
41.8 12.0 3.65 × 104
Steel I Beam: W12 × 16 (Wide Flange 12 inch tall × 16 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
16.0 11.2 2.18 × 104
17.1 12.0 2.34 × 104
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