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Wide Flange Steel I Beam: W12 × 53
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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 3.90 × 10-6 8.12
60.0 4.41 × 10-6 9.19
70.0 5.15 × 10-6 10.7
80.0 5.88 × 10-6 12.3
90.0 6.62 × 10-6 13.8
100 7.35 × 10-6 15.3
200 1.47 × 10-5 30.6
300 2.21 × 10-5 46.0
400 2.94 × 10-5 61.3
500 3.68 × 10-5 76.6
600 4.41 × 10-5 91.9
700 5.15 × 10-5 107
800 5.88 × 10-5 123
900 6.62 × 10-5 138
1000 7.35 × 10-5 153
2000 1.47 × 10-4 306
3000 2.21 × 10-4 460
4000 2.94 × 10-4 613
5000 3.68 × 10-4 766
6000 4.41 × 10-4 919
7000 5.15 × 10-4 1070
8000 5.88 × 10-4 1230
9000 6.62 × 10-4 1380
1.00 × 104 7.35 × 10-4 1530
2.00 × 104 0.00147 3060
3.00 × 104 0.00221 4600
4.00 × 104 0.00294 6130
5.00 × 104 0.00368 7660
6.00 × 104 0.00441 9190
7.00 × 104 0.00515 1.07 × 104
8.00 × 104 0.00588 1.23 × 104
9.00 × 104 0.00662 1.38 × 104
1.00 × 105 0.00735 1.53 × 104
2.00 × 105 0.0147 3.06 × 104
3.00 × 105 0.0221 4.60 × 104
4.00 × 105 0.0294 6.13 × 104
5.00 × 105 0.0368 7.66 × 104
6.00 × 105 0.0441 9.19 × 104
7.00 × 105 0.0515 1.07 × 105
8.00 × 105 0.0588 1.23 × 105
9.00 × 105 0.0662 1.38 × 105
1.00 × 106 0.0735 1.53 × 105
1.94 × 106 0.143 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 3.01 × 10-5 22.6
60.0 3.40 × 10-5 25.5
70.0 3.97 × 10-5 29.8
80.0 4.54 × 10-5 34.1
90.0 5.11 × 10-5 38.3
100 5.67 × 10-5 42.6
200 1.13 × 10-4 85.1
300 1.70 × 10-4 128
400 2.27 × 10-4 170
500 2.84 × 10-4 213
600 3.40 × 10-4 255
700 3.97 × 10-4 298
800 4.54 × 10-4 341
900 5.11 × 10-4 383
1000 5.67 × 10-4 426
2000 0.00113 851
3000 0.00170 1280
4000 0.00227 1700
5000 0.00284 2130
6000 0.00340 2550
7000 0.00397 2980
8000 0.00454 3410
9000 0.00511 3830
1.00 × 104 0.00567 4260
2.00 × 104 0.0113 8510
3.00 × 104 0.0170 1.28 × 104
4.00 × 104 0.0227 1.70 × 104
5.00 × 104 0.0284 2.13 × 104
6.00 × 104 0.0340 2.55 × 104
7.00 × 104 0.0397 2.98 × 104
8.00 × 104 0.0454 3.41 × 104
9.00 × 104 0.0511 3.83 × 104
1.00 × 105 0.0567 4.26 × 104
2.00 × 105 0.113 8.51 × 104
3.00 × 105 0.170 1.28 × 105
4.00 × 105 0.227 1.70 × 105
5.00 × 105 0.284 2.13 × 105
6.00 × 105 0.340 2.55 × 105
6.98 × 105 0.396 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 4.81 × 10-4 90.2
60.0 5.45 × 10-4 102
70.0 6.35 × 10-4 119
80.0 7.26 × 10-4 136
90.0 8.17 × 10-4 153
100 9.08 × 10-4 170
200 0.00182 341
300 0.00272 511
400 0.00363 681
500 0.00454 851
600 0.00545 1020
700 0.00635 1190
800 0.00726 1360
900 0.00817 1530
1000 0.00908 1700
2000 0.0182 3410
3000 0.0272 5110
4000 0.0363 6810
5000 0.0454 8510
6000 0.0545 1.02 × 104
7000 0.0635 1.19 × 104
8000 0.0726 1.36 × 104
9000 0.0817 1.53 × 104
1.00 × 104 0.0908 1.70 × 104
2.00 × 104 0.182 3.41 × 104
3.00 × 104 0.272 5.11 × 104
4.00 × 104 0.363 6.81 × 104
5.00 × 104 0.454 8.51 × 104
6.00 × 104 0.545 1.02 × 105
7.00 × 104 0.635 1.19 × 105
8.00 × 104 0.726 1.36 × 105
9.00 × 104 0.817 1.53 × 105
1.00 × 105 0.908 1.70 × 105
1.74 × 105 1.58 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 0.00244 203
60.0 0.00276 230
70.0 0.00322 268
80.0 0.00368 306
90.0 0.00414 345
100 0.00460 383
200 0.00919 766
300 0.0138 1150
400 0.0184 1530
500 0.0230 1920
600 0.0276 2300
700 0.0322 2680
800 0.0368 3060
900 0.0414 3450
1000 0.0460 3830
2000 0.0919 7660
3000 0.138 1.15 × 104
4000 0.184 1.53 × 104
5000 0.230 1.92 × 104
6000 0.276 2.30 × 104
7000 0.322 2.68 × 104
8000 0.368 3.06 × 104
9000 0.414 3.45 × 104
1.00 × 104 0.460 3.83 × 104
2.00 × 104 0.919 7.66 × 104
3.00 × 104 1.38 1.15 × 105
4.00 × 104 1.84 1.53 × 105
5.00 × 104 2.30 1.92 × 105
6.00 × 104 2.76 2.30 × 105
7.00 × 104 3.22 2.68 × 105
7.75 × 104 3.56 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 0.00770 361
60.0 0.00871 409
70.0 0.0102 477
80.0 0.0116 545
90.0 0.0131 613
100 0.0145 681
200 0.0290 1360
300 0.0436 2040
400 0.0581 2720
500 0.0726 3410
600 0.0871 4090
700 0.102 4770
800 0.116 5450
900 0.131 6130
1000 0.145 6810
2000 0.290 1.36 × 104
3000 0.436 2.04 × 104
4000 0.581 2.72 × 104
5000 0.726 3.41 × 104
6000 0.871 4.09 × 104
7000 1.02 4.77 × 104
8000 1.16 5.45 × 104
9000 1.31 6.13 × 104
1.00 × 104 1.45 6.81 × 104
2.00 × 104 2.90 1.36 × 105
3.00 × 104 4.36 2.04 × 105
4.00 × 104 5.81 2.72 × 105
4.36 × 104 6.33 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 0.0188 564
60.0 0.0213 638
70.0 0.0248 745
80.0 0.0284 851
90.0 0.0319 958
100 0.0355 1060
200 0.0709 2130
300 0.106 3190
400 0.142 4260
500 0.177 5320
600 0.213 6380
700 0.248 7450
800 0.284 8510
900 0.319 9580
1000 0.355 1.06 × 104
2000 0.709 2.13 × 104
3000 1.06 3.19 × 104
4000 1.42 4.26 × 104
5000 1.77 5.32 × 104
6000 2.13 6.38 × 104
7000 2.48 7.45 × 104
8000 2.84 8.51 × 104
9000 3.19 9.58 × 104
1.00 × 104 3.55 1.06 × 105
2.00 × 104 7.09 2.13 × 105
2.79 × 104 9.90 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 0.0390 812
60.0 0.0441 919
70.0 0.0515 1070
80.0 0.0588 1230
90.0 0.0662 1380
100 0.0735 1530
200 0.147 3060
300 0.221 4600
400 0.294 6130
500 0.368 7660
600 0.441 9190
700 0.515 1.07 × 104
800 0.588 1.23 × 104
900 0.662 1.38 × 104
1000 0.735 1.53 × 104
2000 1.47 3.06 × 104
3000 2.21 4.60 × 104
4000 2.94 6.13 × 104
5000 3.68 7.66 × 104
6000 4.41 9.19 × 104
7000 5.15 1.07 × 105
8000 5.88 1.23 × 105
9000 6.62 1.38 × 105
1.00 × 104 7.35 1.53 × 105
1.94 × 104 14.3 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 0.123 1440
60.0 0.139 1630
70.0 0.163 1910
80.0 0.186 2180
90.0 0.209 2450
100 0.232 2720
200 0.465 5450
300 0.697 8170
400 0.930 1.09 × 104
500 1.16 1.36 × 104
600 1.39 1.63 × 104
700 1.63 1.91 × 104
800 1.86 2.18 × 104
900 2.09 2.45 × 104
1000 2.32 2.72 × 104
2000 4.65 5.45 × 104
3000 6.97 8.17 × 104
4000 9.30 1.09 × 105
5000 11.6 1.36 × 105
5190 12.1 1.41 × 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 0.301 2260
60.0 0.340 2550
70.0 0.397 2980
80.0 0.454 3410
90.0 0.511 3830
100 0.567 4260
200 1.13 8510
300 1.70 1.28 × 104
400 2.27 1.70 × 104
500 2.84 2.13 × 104
600 3.40 2.55 × 104
700 3.97 2.98 × 104
800 4.54 3.41 × 104
900 5.11 3.83 × 104
1000 5.67 4.26 × 104
2000 11.3 8.51 × 104
2130 12.1 9.05 × 104
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 0.624 3250
60.0 0.706 3680
70.0 0.824 4290
80.0 0.941 4900
90.0 1.06 5520
100 1.18 6130
200 2.35 1.23 × 104
300 3.53 1.84 × 104
400 4.71 2.45 × 104
500 5.88 3.06 × 104
600 7.06 3.68 × 104
700 8.24 4.29 × 104
800 9.41 4.90 × 104
900 10.6 5.52 × 104
1000 11.8 6.13 × 104
1030 12.1 6.28 × 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 1.16 4420
60.0 1.31 5010
70.0 1.53 5840
80.0 1.74 6670
90.0 1.96 7510
100 2.18 8340
200 4.36 1.67 × 104
300 6.54 2.50 × 104
400 8.72 3.34 × 104
500 10.9 4.17 × 104
553 12.1 4.62 × 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 1.97 5780
60.0 2.23 6540
70.0 2.60 7630
80.0 2.97 8720
90.0 3.35 9810
100 3.72 1.09 × 104
200 7.44 2.18 × 104
300 11.2 3.27 × 104
324 12.1 3.53 × 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 3.16 7310
60.0 3.57 8270
70.0 4.17 9650
80.0 4.76 1.10 × 104
90.0 5.36 1.24 × 104
100 5.96 1.38 × 104
200 11.9 2.76 × 104
202 12.1 2.79 × 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 4.81 9020
60.0 5.45 1.02 × 104
70.0 6.35 1.19 × 104
80.0 7.26 1.36 × 104
90.0 8.17 1.53 × 104
100 9.08 1.70 × 104
133 12.1 2.26 × 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 11.7 1.41 × 104
54.4 12.1 1.45 × 104
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