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Wide Flange Steel I Beam: W12 × 65
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W12 × 65
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 = 533 in4) for the W12 × 65 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 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 3.81 × 10-6 7.98
70.0 4.10 × 10-6 8.60
80.0 4.69 × 10-6 9.82
90.0 5.28 × 10-6 11.1
100 5.86 × 10-6 12.3
200 1.17 × 10-5 24.6
300 1.76 × 10-5 36.8
400 2.35 × 10-5 49.1
500 2.93 × 10-5 61.4
600 3.52 × 10-5 73.7
700 4.10 × 10-5 86.0
800 4.69 × 10-5 98.2
900 5.28 × 10-5 111
1000 5.86 × 10-5 123
2000 1.17 × 10-4 246
3000 1.76 × 10-4 368
4000 2.35 × 10-4 491
5000 2.93 × 10-4 614
6000 3.52 × 10-4 737
7000 4.10 × 10-4 860
8000 4.69 × 10-4 982
9000 5.28 × 10-4 1110
1.00 × 104 5.86 × 10-4 1230
2.00 × 104 0.00117 2460
3.00 × 104 0.00176 3680
4.00 × 104 0.00235 4910
5.00 × 104 0.00293 6140
6.00 × 104 0.00352 7370
7.00 × 104 0.00410 8600
8.00 × 104 0.00469 9820
9.00 × 104 0.00528 1.11 × 104
1.00 × 105 0.00586 1.23 × 104
2.00 × 105 0.0117 2.46 × 104
3.00 × 105 0.0176 3.68 × 104
4.00 × 105 0.0235 4.91 × 104
5.00 × 105 0.0293 6.14 × 104
6.00 × 105 0.0352 7.37 × 104
7.00 × 105 0.0410 8.60 × 104
8.00 × 105 0.0469 9.82 × 104
9.00 × 105 0.0528 1.11 × 105
1.00 × 106 0.0586 1.23 × 105
2.00 × 106 0.117 2.46 × 105
2.42 × 106 0.142 2.97 × 105
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 2.94 × 10-5 22.2
70.0 3.17 × 10-5 23.9
80.0 3.62 × 10-5 27.3
90.0 4.07 × 10-5 30.7
100 4.52 × 10-5 34.1
200 9.05 × 10-5 68.2
300 1.36 × 10-4 102
400 1.81 × 10-4 136
500 2.26 × 10-4 171
600 2.71 × 10-4 205
700 3.17 × 10-4 239
800 3.62 × 10-4 273
900 4.07 × 10-4 307
1000 4.52 × 10-4 341
2000 9.05 × 10-4 682
3000 0.00136 1020
4000 0.00181 1360
5000 0.00226 1710
6000 0.00271 2050
7000 0.00317 2390
8000 0.00362 2730
9000 0.00407 3070
1.00 × 104 0.00452 3410
2.00 × 104 0.00905 6820
3.00 × 104 0.0136 1.02 × 104
4.00 × 104 0.0181 1.36 × 104
5.00 × 104 0.0226 1.71 × 104
6.00 × 104 0.0271 2.05 × 104
7.00 × 104 0.0317 2.39 × 104
8.00 × 104 0.0362 2.73 × 104
9.00 × 104 0.0407 3.07 × 104
1.00 × 105 0.0452 3.41 × 104
2.00 × 105 0.0905 6.82 × 104
3.00 × 105 0.136 1.02 × 105
4.00 × 105 0.181 1.36 × 105
5.00 × 105 0.226 1.71 × 105
6.00 × 105 0.271 2.05 × 105
7.00 × 105 0.317 2.39 × 105
8.00 × 105 0.362 2.73 × 105
8.71 × 105 0.394 2.97 × 105
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 4.70 × 10-4 88.7
70.0 5.07 × 10-4 95.5
80.0 5.79 × 10-4 109
90.0 6.51 × 10-4 123
100 7.24 × 10-4 136
200 0.00145 273
300 0.00217 409
400 0.00290 546
500 0.00362 682
600 0.00434 819
700 0.00507 955
800 0.00579 1090
900 0.00651 1230
1000 0.00724 1360
2000 0.0145 2730
3000 0.0217 4090
4000 0.0290 5460
5000 0.0362 6820
6000 0.0434 8190
7000 0.0507 9550
8000 0.0579 1.09 × 104
9000 0.0651 1.23 × 104
1.00 × 104 0.0724 1.36 × 104
2.00 × 104 0.145 2.73 × 104
3.00 × 104 0.217 4.09 × 104
4.00 × 104 0.290 5.46 × 104
5.00 × 104 0.362 6.82 × 104
6.00 × 104 0.434 8.19 × 104
7.00 × 104 0.507 9.55 × 104
8.00 × 104 0.579 1.09 × 105
9.00 × 104 0.651 1.23 × 105
1.00 × 105 0.724 1.36 × 105
2.00 × 105 1.45 2.73 × 105
2.18 × 105 1.58 2.97 × 105
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.00238 200
70.0 0.00257 215
80.0 0.00293 246
90.0 0.00330 276
100 0.00366 307
200 0.00733 614
300 0.0110 921
400 0.0147 1230
500 0.0183 1530
600 0.0220 1840
700 0.0257 2150
800 0.0293 2460
900 0.0330 2760
1000 0.0366 3070
2000 0.0733 6140
3000 0.110 9210
4000 0.147 1.23 × 104
5000 0.183 1.53 × 104
6000 0.220 1.84 × 104
7000 0.257 2.15 × 104
8000 0.293 2.46 × 104
9000 0.330 2.76 × 104
1.00 × 104 0.366 3.07 × 104
2.00 × 104 0.733 6.14 × 104
3.00 × 104 1.10 9.21 × 104
4.00 × 104 1.47 1.23 × 105
5.00 × 104 1.83 1.53 × 105
6.00 × 104 2.20 1.84 × 105
7.00 × 104 2.57 2.15 × 105
8.00 × 104 2.93 2.46 × 105
9.00 × 104 3.30 2.76 × 105
9.68 × 104 3.55 2.97 × 105
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.00753 355
70.0 0.00811 382
80.0 0.00926 437
90.0 0.0104 491
100 0.0116 546
200 0.0232 1090
300 0.0347 1640
400 0.0463 2180
500 0.0579 2730
600 0.0695 3270
700 0.0811 3820
800 0.0926 4370
900 0.104 4910
1000 0.116 5460
2000 0.232 1.09 × 104
3000 0.347 1.64 × 104
4000 0.463 2.18 × 104
5000 0.579 2.73 × 104
6000 0.695 3.27 × 104
7000 0.811 3.82 × 104
8000 0.926 4.37 × 104
9000 1.04 4.91 × 104
1.00 × 104 1.16 5.46 × 104
2.00 × 104 2.32 1.09 × 105
3.00 × 104 3.47 1.64 × 105
4.00 × 104 4.63 2.18 × 105
5.00 × 104 5.79 2.73 × 105
5.44 × 104 6.30 2.97 × 105
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.0184 554
70.0 0.0198 597
80.0 0.0226 682
90.0 0.0254 767
100 0.0283 853
200 0.0565 1710
300 0.0848 2560
400 0.113 3410
500 0.141 4260
600 0.170 5120
700 0.198 5970
800 0.226 6820
900 0.254 7670
1000 0.283 8530
2000 0.565 1.71 × 104
3000 0.848 2.56 × 104
4000 1.13 3.41 × 104
5000 1.41 4.26 × 104
6000 1.70 5.12 × 104
7000 1.98 5.97 × 104
8000 2.26 6.82 × 104
9000 2.54 7.67 × 104
1.00 × 104 2.83 8.53 × 104
2.00 × 104 5.65 1.71 × 105
3.00 × 104 8.48 2.56 × 105
3.48 × 104 9.85 2.97 × 105
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.0381 798
70.0 0.0410 860
80.0 0.0469 982
90.0 0.0528 1110
100 0.0586 1230
200 0.117 2460
300 0.176 3680
400 0.235 4910
500 0.293 6140
600 0.352 7370
700 0.410 8600
800 0.469 9820
900 0.528 1.11 × 104
1000 0.586 1.23 × 104
2000 1.17 2.46 × 104
3000 1.76 3.68 × 104
4000 2.35 4.91 × 104
5000 2.93 6.14 × 104
6000 3.52 7.37 × 104
7000 4.10 8.60 × 104
8000 4.69 9.82 × 104
9000 5.28 1.11 × 105
1.00 × 104 5.86 1.23 × 105
2.00 × 104 11.7 2.46 × 105
2.42 × 104 14.2 2.97 × 105
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.120 1420
70.0 0.130 1530
80.0 0.148 1750
90.0 0.167 1960
100 0.185 2180
200 0.371 4370
300 0.556 6550
400 0.741 8730
500 0.926 1.09 × 104
600 1.11 1.31 × 104
700 1.30 1.53 × 104
800 1.48 1.75 × 104
900 1.67 1.96 × 104
1000 1.85 2.18 × 104
2000 3.71 4.37 × 104
3000 5.56 6.55 × 104
4000 7.41 8.73 × 104
5000 9.26 1.09 × 105
6000 11.1 1.31 × 105
6540 12.1 1.43 × 105
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.294 2220
70.0 0.317 2390
80.0 0.362 2730
90.0 0.407 3070
100 0.452 3410
200 0.905 6820
300 1.36 1.02 × 104
400 1.81 1.36 × 104
500 2.26 1.71 × 104
600 2.71 2.05 × 104
700 3.17 2.39 × 104
800 3.62 2.73 × 104
900 4.07 3.07 × 104
1000 4.52 3.41 × 104
2000 9.05 6.82 × 104
2680 12.1 9.14 × 104
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 0.610 3190
70.0 0.657 3440
80.0 0.750 3930
90.0 0.844 4420
100 0.938 4910
200 1.88 9820
300 2.81 1.47 × 104
400 3.75 1.96 × 104
500 4.69 2.46 × 104
600 5.63 2.95 × 104
700 6.57 3.44 × 104
800 7.50 3.93 × 104
900 8.44 4.42 × 104
1000 9.38 4.91 × 104
1290 12.1 6.35 × 104
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 1.13 4350
70.0 1.22 4680
80.0 1.39 5350
90.0 1.56 6020
100 1.74 6690
200 3.48 1.34 × 104
300 5.21 2.01 × 104
400 6.95 2.67 × 104
500 8.69 3.34 × 104
600 10.4 4.01 × 104
697 12.1 4.66 × 104
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 1.93 5680
70.0 2.08 6110
80.0 2.37 6990
90.0 2.67 7860
100 2.96 8730
200 5.93 1.75 × 104
300 8.89 2.62 × 104
400 11.9 3.49 × 104
409 12.1 3.57 × 104
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 3.09 7180
70.0 3.32 7740
80.0 3.80 8840
90.0 4.27 9950
100 4.75 1.11 × 104
200 9.50 2.21 × 104
255 12.1 2.82 × 104
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 4.70 8870
70.0 5.07 9550
80.0 5.79 1.09 × 104
90.0 6.51 1.23 × 104
100 7.24 1.36 × 104
167 12.1 2.28 × 104
Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
65.0 11.5 1.39 × 104
68.6 12.1 1.46 × 104
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