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Wide Flange Steel I Beam: W12 × 53
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W12 × 53
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 = 425 in4) for the W12 × 53 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 × 53 (Wide Flange 12 inch tall × 53 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
53.0 3.61 × 10-6 8.70
60.0 4.09 × 10-6 9.85
70.0 4.77 × 10-6 11.5
80.0 5.45 × 10-6 13.1
90.0 6.13 × 10-6 14.8
100 6.81 × 10-6 16.4
200 1.36 × 10-5 32.8
300 2.04 × 10-5 49.2
400 2.72 × 10-5 65.6
500 3.41 × 10-5 82.1
600 4.09 × 10-5 98.5
700 4.77 × 10-5 115
800 5.45 × 10-5 131
900 6.13 × 10-5 148
1000 6.81 × 10-5 164
2000 1.36 × 10-4 328
3000 2.04 × 10-4 492
4000 2.72 × 10-4 656
5000 3.41 × 10-4 821
6000 4.09 × 10-4 985
7000 4.77 × 10-4 1150
8000 5.45 × 10-4 1310
9000 6.13 × 10-4 1480
1.00 × 104 6.81 × 10-4 1640
2.00 × 104 0.00136 3280
3.00 × 104 0.00204 4920
4.00 × 104 0.00272 6560
5.00 × 104 0.00341 8210
6.00 × 104 0.00409 9850
7.00 × 104 0.00477 1.15 × 104
8.00 × 104 0.00545 1.31 × 104
9.00 × 104 0.00613 1.48 × 104
1.00 × 105 0.00681 1.64 × 104
2.00 × 105 0.0136 3.28 × 104
3.00 × 105 0.0204 4.92 × 104
4.00 × 105 0.0272 6.56 × 104
5.00 × 105 0.0341 8.21 × 104
6.00 × 105 0.0409 9.85 × 104
7.00 × 105 0.0477 1.15 × 105
8.00 × 105 0.0545 1.31 × 105
9.00 × 105 0.0613 1.48 × 105
1.00 × 106 0.0681 1.64 × 105
1.81 × 106 0.123 2.97 × 105
Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
53.0 2.79 × 10-5 24.2
60.0 3.15 × 10-5 27.4
70.0 3.68 × 10-5 31.9
80.0 4.20 × 10-5 36.5
90.0 4.73 × 10-5 41.0
100 5.26 × 10-5 45.6
200 1.05 × 10-4 91.2
300 1.58 × 10-4 137
400 2.10 × 10-4 182
500 2.63 × 10-4 228
600 3.15 × 10-4 274
700 3.68 × 10-4 319
800 4.20 × 10-4 365
900 4.73 × 10-4 410
1000 5.26 × 10-4 456
2000 0.00105 912
3000 0.00158 1370
4000 0.00210 1820
5000 0.00263 2280
6000 0.00315 2740
7000 0.00368 3190
8000 0.00420 3650
9000 0.00473 4100
1.00 × 104 0.00526 4560
2.00 × 104 0.0105 9120
3.00 × 104 0.0158 1.37 × 104
4.00 × 104 0.0210 1.82 × 104
5.00 × 104 0.0263 2.28 × 104
6.00 × 104 0.0315 2.74 × 104
7.00 × 104 0.0368 3.19 × 104
8.00 × 104 0.0420 3.65 × 104
9.00 × 104 0.0473 4.10 × 104
1.00 × 105 0.0526 4.56 × 104
2.00 × 105 0.105 9.12 × 104
3.00 × 105 0.158 1.37 × 105
4.00 × 105 0.210 1.82 × 105
5.00 × 105 0.263 2.28 × 105
6.00 × 105 0.315 2.74 × 105
6.52 × 105 0.342 2.97 × 105
Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
53.0 4.46 × 10-4 96.6
60.0 5.05 × 10-4 109
70.0 5.89 × 10-4 128
80.0 6.73 × 10-4 146
90.0 7.57 × 10-4 164
100 8.41 × 10-4 182
200 0.00168 365
300 0.00252 547
400 0.00336 729
500 0.00420 912
600 0.00505 1090
700 0.00589 1280
800 0.00673 1460
900 0.00757 1640
1000 0.00841 1820
2000 0.0168 3650
3000 0.0252 5470
4000 0.0336 7290
5000 0.0420 9120
6000 0.0505 1.09 × 104
7000 0.0589 1.28 × 104
8000 0.0673 1.46 × 104
9000 0.0757 1.64 × 104
1.00 × 104 0.0841 1.82 × 104
2.00 × 104 0.168 3.65 × 104
3.00 × 104 0.252 5.47 × 104
4.00 × 104 0.336 7.29 × 104
5.00 × 104 0.420 9.12 × 104
6.00 × 104 0.505 1.09 × 105
7.00 × 104 0.589 1.28 × 105
8.00 × 104 0.673 1.46 × 105
9.00 × 104 0.757 1.64 × 105
1.00 × 105 0.841 1.82 × 105
1.63 × 105 1.37 2.97 × 105
Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
53.0 0.00226 217
60.0 0.00255 246
70.0 0.00298 287
80.0 0.00341 328
90.0 0.00383 369
100 0.00426 410
200 0.00852 821
300 0.0128 1230
400 0.0170 1640
500 0.0213 2050
600 0.0255 2460
700 0.0298 2870
800 0.0341 3280
900 0.0383 3690
1000 0.0426 4100
2000 0.0852 8210
3000 0.128 1.23 × 104
4000 0.170 1.64 × 104
5000 0.213 2.05 × 104
6000 0.255 2.46 × 104
7000 0.298 2.87 × 104
8000 0.341 3.28 × 104
9000 0.383 3.69 × 104
1.00 × 104 0.426 4.10 × 104
2.00 × 104 0.852 8.21 × 104
3.00 × 104 1.28 1.23 × 105
4.00 × 104 1.70 1.64 × 105
5.00 × 104 2.13 2.05 × 105
6.00 × 104 2.55 2.46 × 105
7.00 × 104 2.98 2.87 × 105
7.24 × 104 3.08 2.97 × 105
Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
53.0 0.00713 387
60.0 0.00807 438
70.0 0.00942 511
80.0 0.0108 584
90.0 0.0121 656
100 0.0135 729
200 0.0269 1460
300 0.0404 2190
400 0.0538 2920
500 0.0673 3650
600 0.0807 4380
700 0.0942 5110
800 0.108 5840
900 0.121 6560
1000 0.135 7290
2000 0.269 1.46 × 104
3000 0.404 2.19 × 104
4000 0.538 2.92 × 104
5000 0.673 3.65 × 104
6000 0.807 4.38 × 104
7000 0.942 5.11 × 104
8000 1.08 5.84 × 104
9000 1.21 6.56 × 104
1.00 × 104 1.35 7.29 × 104
2.00 × 104 2.69 1.46 × 105
3.00 × 104 4.04 2.19 × 105
4.00 × 104 5.38 2.92 × 105
4.07 × 104 5.48 2.97 × 105
Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
53.0 0.0174 604
60.0 0.0197 684
70.0 0.0230 798
80.0 0.0263 912
90.0 0.0296 1030
100 0.0329 1140
200 0.0657 2280
300 0.0986 3420
400 0.131 4560
500 0.164 5700
600 0.197 6840
700 0.230 7980
800 0.263 9120
900 0.296 1.03 × 104
1000 0.329 1.14 × 104
2000 0.657 2.28 × 104
3000 0.986 3.42 × 104
4000 1.31 4.56 × 104
5000 1.64 5.70 × 104
6000 1.97 6.84 × 104
7000 2.30 7.98 × 104
8000 2.63 9.12 × 104
9000 2.96 1.03 × 105
1.00 × 104 3.29 1.14 × 105
2.00 × 104 6.57 2.28 × 105
2.61 × 104 8.56 2.97 × 105
Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
53.0 0.0361 870
60.0 0.0409 985
70.0 0.0477 1150
80.0 0.0545 1310
90.0 0.0613 1480
100 0.0681 1640
200 0.136 3280
300 0.204 4920
400 0.272 6560
500 0.341 8210
600 0.409 9850
700 0.477 1.15 × 104
800 0.545 1.31 × 104
900 0.613 1.48 × 104
1000 0.681 1.64 × 104
2000 1.36 3.28 × 104
3000 2.04 4.92 × 104
4000 2.72 6.56 × 104
5000 3.41 8.21 × 104
6000 4.09 9.85 × 104
7000 4.77 1.15 × 105
8000 5.45 1.31 × 105
9000 6.13 1.48 × 105
1.00 × 104 6.81 1.64 × 105
1.81 × 104 12.3 2.97 × 105
Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
53.0 0.114 1550
60.0 0.129 1750
70.0 0.151 2040
80.0 0.172 2330
90.0 0.194 2630
100 0.215 2920
200 0.431 5840
300 0.646 8750
400 0.861 1.17 × 104
500 1.08 1.46 × 104
600 1.29 1.75 × 104
700 1.51 2.04 × 104
800 1.72 2.33 × 104
900 1.94 2.63 × 104
1000 2.15 2.92 × 104
2000 4.31 5.84 × 104
3000 6.46 8.75 × 104
4000 8.61 1.17 × 105
5000 10.8 1.46 × 105
5600 12.1 1.63 × 105
Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
53.0 0.279 2420
60.0 0.315 2740
70.0 0.368 3190
80.0 0.420 3650
90.0 0.473 4100
100 0.526 4560
200 1.05 9120
300 1.58 1.37 × 104
400 2.10 1.82 × 104
500 2.63 2.28 × 104
600 3.15 2.74 × 104
700 3.68 3.19 × 104
800 4.20 3.65 × 104
900 4.73 4.10 × 104
1000 5.26 4.56 × 104
2000 10.5 9.12 × 104
2290 12.1 1.05 × 105
Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
53.0 0.578 3480
60.0 0.654 3940
70.0 0.763 4600
80.0 0.872 5250
90.0 0.981 5910
100 1.09 6560
200 2.18 1.31 × 104
300 3.27 1.97 × 104
400 4.36 2.63 × 104
500 5.45 3.28 × 104
600 6.54 3.94 × 104
700 7.63 4.60 × 104
800 8.72 5.25 × 104
900 9.81 5.91 × 104
1000 10.9 6.56 × 104
1110 12.1 7.26 × 104
Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
53.0 1.07 4740
60.0 1.21 5360
70.0 1.41 6250
80.0 1.62 7150
90.0 1.82 8040
100 2.02 8940
200 4.04 1.79 × 104
300 6.06 2.68 × 104
400 8.08 3.57 × 104
500 10.1 4.47 × 104
597 12.1 5.34 × 104
Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
53.0 1.83 6190
60.0 2.07 7000
70.0 2.41 8170
80.0 2.76 9340
90.0 3.10 1.05 × 104
100 3.44 1.17 × 104
200 6.89 2.33 × 104
300 10.3 3.50 × 104
350 12.1 4.09 × 104
Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
53.0 2.92 7830
60.0 3.31 8860
70.0 3.86 1.03 × 104
80.0 4.41 1.18 × 104
90.0 4.97 1.33 × 104
100 5.52 1.48 × 104
200 11.0 2.95 × 104
219 12.1 3.23 × 104
Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
53.0 4.46 9660
60.0 5.05 1.09 × 104
70.0 5.89 1.28 × 104
80.0 6.73 1.46 × 104
90.0 7.57 1.64 × 104
100 8.41 1.82 × 104
143 12.1 2.61 × 104
Steel I Beam: W12 × 53 (Wide Flange 12 inch tall × 53 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
53.0 10.9 1.51 × 104
58.7 12.1 1.67 × 104
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