engineering fundamentals
Wide Flange Steel I Beam: W12 × 16
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » 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 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 = 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 9.29 × 10-6 12.6
20.0 1.16 × 10-5 15.7
30.0 1.74 × 10-5 23.6
40.0 2.32 × 10-5 31.4
50.0 2.90 × 10-5 39.3
60.0 3.49 × 10-5 47.1
70.0 4.07 × 10-5 55.0
80.0 4.65 × 10-5 62.9
90.0 5.23 × 10-5 70.7
100 5.81 × 10-5 78.6
200 1.16 × 10-4 157
300 1.74 × 10-4 236
400 2.32 × 10-4 314
500 2.90 × 10-4 393
600 3.49 × 10-4 471
700 4.07 × 10-4 550
800 4.65 × 10-4 629
900 5.23 × 10-4 707
1000 5.81 × 10-4 786
2000 0.00116 1570
3000 0.00174 2360
4000 0.00232 3140
5000 0.00290 3930
6000 0.00349 4710
7000 0.00407 5500
8000 0.00465 6290
9000 0.00523 7070
1.00 × 104 0.00581 7860
2.00 × 104 0.0116 1.57 × 104
3.00 × 104 0.0174 2.36 × 104
4.00 × 104 0.0232 3.14 × 104
5.00 × 104 0.0290 3.93 × 104
6.00 × 104 0.0349 4.71 × 104
7.00 × 104 0.0407 5.50 × 104
8.00 × 104 0.0465 6.29 × 104
9.00 × 104 0.0523 7.07 × 104
1.00 × 105 0.0581 7.86 × 104
2.00 × 105 0.116 1.57 × 105
3.00 × 105 0.174 2.36 × 105
3.78 × 105 0.220 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 7.17 × 10-5 34.9
20.0 8.97 × 10-5 43.7
30.0 1.34 × 10-4 65.5
40.0 1.79 × 10-4 87.3
50.0 2.24 × 10-4 109
60.0 2.69 × 10-4 131
70.0 3.14 × 10-4 153
80.0 3.59 × 10-4 175
90.0 4.03 × 10-4 196
100 4.48 × 10-4 218
200 8.97 × 10-4 437
300 0.00134 655
400 0.00179 873
500 0.00224 1090
600 0.00269 1310
700 0.00314 1530
800 0.00359 1750
900 0.00403 1960
1000 0.00448 2180
2000 0.00897 4370
3000 0.0134 6550
4000 0.0179 8730
5000 0.0224 1.09 × 104
6000 0.0269 1.31 × 104
7000 0.0314 1.53 × 104
8000 0.0359 1.75 × 104
9000 0.0403 1.96 × 104
1.00 × 104 0.0448 2.18 × 104
2.00 × 104 0.0897 4.37 × 104
3.00 × 104 0.134 6.55 × 104
4.00 × 104 0.179 8.73 × 104
5.00 × 104 0.224 1.09 × 105
6.00 × 104 0.269 1.31 × 105
7.00 × 104 0.314 1.53 × 105
8.00 × 104 0.359 1.75 × 105
9.00 × 104 0.403 1.96 × 105
1.00 × 105 0.448 2.18 × 105
1.36 × 105 0.610 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 0.00115 140
20.0 0.00143 175
30.0 0.00215 262
40.0 0.00287 349
50.0 0.00359 437
60.0 0.00430 524
70.0 0.00502 611
80.0 0.00574 698
90.0 0.00645 786
100 0.00717 873
200 0.0143 1750
300 0.0215 2620
400 0.0287 3490
500 0.0359 4370
600 0.0430 5240
700 0.0502 6110
800 0.0574 6980
900 0.0645 7860
1000 0.0717 8730
2000 0.143 1.75 × 104
3000 0.215 2.62 × 104
4000 0.287 3.49 × 104
5000 0.359 4.37 × 104
6000 0.430 5.24 × 104
7000 0.502 6.11 × 104
8000 0.574 6.98 × 104
9000 0.645 7.86 × 104
1.00 × 104 0.717 8.73 × 104
2.00 × 104 1.43 1.75 × 105
3.00 × 104 2.15 2.62 × 105
3.40 × 104 2.44 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 0.00581 314
20.0 0.00726 393
30.0 0.0109 589
40.0 0.0145 786
50.0 0.0182 982
60.0 0.0218 1180
70.0 0.0254 1380
80.0 0.0290 1570
90.0 0.0327 1770
100 0.0363 1960
200 0.0726 3930
300 0.109 5890
400 0.145 7860
500 0.182 9820
600 0.218 1.18 × 104
700 0.254 1.38 × 104
800 0.290 1.57 × 104
900 0.327 1.77 × 104
1000 0.363 1.96 × 104
2000 0.726 3.93 × 104
3000 1.09 5.89 × 104
4000 1.45 7.86 × 104
5000 1.82 9.82 × 104
6000 2.18 1.18 × 105
7000 2.54 1.38 × 105
8000 2.90 1.57 × 105
9000 3.27 1.77 × 105
1.00 × 104 3.63 1.96 × 105
1.51 × 104 5.49 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 0.0184 559
20.0 0.0230 698
30.0 0.0344 1050
40.0 0.0459 1400
50.0 0.0574 1750
60.0 0.0689 2100
70.0 0.0803 2440
80.0 0.0918 2790
90.0 0.103 3140
100 0.115 3490
200 0.230 6980
300 0.344 1.05 × 104
400 0.459 1.40 × 104
500 0.574 1.75 × 104
600 0.689 2.10 × 104
700 0.803 2.44 × 104
800 0.918 2.79 × 104
900 1.03 3.14 × 104
1000 1.15 3.49 × 104
2000 2.30 6.98 × 104
3000 3.44 1.05 × 105
4000 4.59 1.40 × 105
5000 5.74 1.75 × 105
6000 6.89 2.10 × 105
7000 8.03 2.44 × 105
8000 9.18 2.79 × 105
8510 9.76 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 0.0448 873
20.0 0.0560 1090
30.0 0.0840 1640
40.0 0.112 2180
50.0 0.140 2730
60.0 0.168 3270
70.0 0.196 3820
80.0 0.224 4370
90.0 0.252 4910
100 0.280 5460
200 0.560 1.09 × 104
300 0.840 1.64 × 104
400 1.12 2.18 × 104
500 1.40 2.73 × 104
600 1.68 3.27 × 104
700 1.96 3.82 × 104
800 2.24 4.37 × 104
900 2.52 4.91 × 104
1000 2.80 5.46 × 104
2000 5.60 1.09 × 105
3000 8.40 1.64 × 105
4000 11.2 2.18 × 105
4280 12.0 2.34 × 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 0.0929 1260
20.0 0.116 1570
30.0 0.174 2360
40.0 0.232 3140
50.0 0.290 3930
60.0 0.349 4710
70.0 0.407 5500
80.0 0.465 6290
90.0 0.523 7070
100 0.581 7860
200 1.16 1.57 × 104
300 1.74 2.36 × 104
400 2.32 3.14 × 104
500 2.90 3.93 × 104
600 3.49 4.71 × 104
700 4.07 5.50 × 104
800 4.65 6.29 × 104
900 5.23 7.07 × 104
1000 5.81 7.86 × 104
2000 11.6 1.57 × 105
2060 12.0 1.62 × 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 0.294 2240
20.0 0.367 2790
30.0 0.551 4190
40.0 0.734 5590
50.0 0.918 6980
60.0 1.10 8380
70.0 1.29 9780
80.0 1.47 1.12 × 104
90.0 1.65 1.26 × 104
100 1.84 1.40 × 104
200 3.67 2.79 × 104
300 5.51 4.19 × 104
400 7.34 5.59 × 104
500 9.18 6.98 × 104
600 11.0 8.38 × 104
653 12.0 9.12 × 104
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 0.717 3490
20.0 0.897 4370
30.0 1.34 6550
40.0 1.79 8730
50.0 2.24 1.09 × 104
60.0 2.69 1.31 × 104
70.0 3.14 1.53 × 104
80.0 3.59 1.75 × 104
90.0 4.03 1.96 × 104
100 4.48 2.18 × 104
200 8.97 4.37 × 104
267 12.0 5.84 × 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 1.49 5030
20.0 1.86 6290
30.0 2.79 9430
40.0 3.72 1.26 × 104
50.0 4.65 1.57 × 104
60.0 5.58 1.89 × 104
70.0 6.51 2.20 × 104
80.0 7.44 2.51 × 104
90.0 8.37 2.83 × 104
100 9.29 3.14 × 104
129 12.0 4.05 × 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 2.76 6840
20.0 3.44 8560
30.0 5.17 1.28 × 104
40.0 6.89 1.71 × 104
50.0 8.61 2.14 × 104
60.0 10.3 2.57 × 104
69.6 12.0 2.98 × 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 4.70 8940
20.0 5.88 1.12 × 104
30.0 8.81 1.68 × 104
40.0 11.8 2.24 × 104
40.8 12.0 2.28 × 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 7.53 1.13 × 104
20.0 9.41 1.41 × 104
25.5 12.0 1.80 × 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 11.5 1.40 × 104
16.7 12.0 1.46 × 104
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