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Wide Flange Steel I Beam: W12 × 26
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W12 × 26
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 = 204 in4) for the W12 × 26 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 × 26 (Wide Flange 12 inch tall × 26 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
26.0 3.98 × 10-6 8.41
30.0 4.60 × 10-6 9.70
40.0 6.13 × 10-6 12.9
50.0 7.66 × 10-6 16.2
60.0 9.19 × 10-6 19.4
70.0 1.07 × 10-5 22.6
80.0 1.23 × 10-5 25.9
90.0 1.38 × 10-5 29.1
100 1.53 × 10-5 32.3
200 3.06 × 10-5 64.7
300 4.60 × 10-5 97.0
400 6.13 × 10-5 129
500 7.66 × 10-5 162
600 9.19 × 10-5 194
700 1.07 × 10-4 226
800 1.23 × 10-4 259
900 1.38 × 10-4 291
1000 1.53 × 10-4 323
2000 3.06 × 10-4 647
3000 4.60 × 10-4 970
4000 6.13 × 10-4 1290
5000 7.66 × 10-4 1620
6000 9.19 × 10-4 1940
7000 0.00107 2260
8000 0.00123 2590
9000 0.00138 2910
1.00 × 104 0.00153 3230
2.00 × 104 0.00306 6470
3.00 × 104 0.00460 9700
4.00 × 104 0.00613 1.29 × 104
5.00 × 104 0.00766 1.62 × 104
6.00 × 104 0.00919 1.94 × 104
7.00 × 104 0.0107 2.26 × 104
8.00 × 104 0.0123 2.59 × 104
9.00 × 104 0.0138 2.91 × 104
1.00 × 105 0.0153 3.23 × 104
2.00 × 105 0.0306 6.47 × 104
3.00 × 105 0.0460 9.70 × 104
4.00 × 105 0.0613 1.29 × 105
5.00 × 105 0.0766 1.62 × 105
6.00 × 105 0.0919 1.94 × 105
7.00 × 105 0.107 2.26 × 105
8.00 × 105 0.123 2.59 × 105
9.00 × 105 0.138 2.91 × 105
9.18 × 105 0.141 2.97 × 105
Steel I Beam: W12 × 26 (Wide Flange 12 inch tall × 26 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
26.0 3.07 × 10-5 23.4
30.0 3.55 × 10-5 27.0
40.0 4.73 × 10-5 35.9
50.0 5.91 × 10-5 44.9
60.0 7.09 × 10-5 53.9
70.0 8.27 × 10-5 62.9
80.0 9.46 × 10-5 71.9
90.0 1.06 × 10-4 80.9
100 1.18 × 10-4 89.9
200 2.36 × 10-4 180
300 3.55 × 10-4 270
400 4.73 × 10-4 359
500 5.91 × 10-4 449
600 7.09 × 10-4 539
700 8.27 × 10-4 629
800 9.46 × 10-4 719
900 0.00106 809
1000 0.00118 899
2000 0.00236 1800
3000 0.00355 2700
4000 0.00473 3590
5000 0.00591 4490
6000 0.00709 5390
7000 0.00827 6290
8000 0.00946 7190
9000 0.0106 8090
1.00 × 104 0.0118 8990
2.00 × 104 0.0236 1.80 × 104
3.00 × 104 0.0355 2.70 × 104
4.00 × 104 0.0473 3.59 × 104
5.00 × 104 0.0591 4.49 × 104
6.00 × 104 0.0709 5.39 × 104
7.00 × 104 0.0827 6.29 × 104
8.00 × 104 0.0946 7.19 × 104
9.00 × 104 0.106 8.09 × 104
1.00 × 105 0.118 8.99 × 104
2.00 × 105 0.236 1.80 × 105
3.00 × 105 0.355 2.70 × 105
3.31 × 105 0.391 2.97 × 105
Steel I Beam: W12 × 26 (Wide Flange 12 inch tall × 26 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
26.0 4.92 × 10-4 93.4
30.0 5.67 × 10-4 108
40.0 7.56 × 10-4 144
50.0 9.46 × 10-4 180
60.0 0.00113 216
70.0 0.00132 252
80.0 0.00151 288
90.0 0.00170 323
100 0.00189 359
200 0.00378 719
300 0.00567 1080
400 0.00756 1440
500 0.00946 1800
600 0.0113 2160
700 0.0132 2520
800 0.0151 2880
900 0.0170 3230
1000 0.0189 3590
2000 0.0378 7190
3000 0.0567 1.08 × 104
4000 0.0756 1.44 × 104
5000 0.0946 1.80 × 104
6000 0.113 2.16 × 104
7000 0.132 2.52 × 104
8000 0.151 2.88 × 104
9000 0.170 3.23 × 104
1.00 × 104 0.189 3.59 × 104
2.00 × 104 0.378 7.19 × 104
3.00 × 104 0.567 1.08 × 105
4.00 × 104 0.756 1.44 × 105
5.00 × 104 0.946 1.80 × 105
6.00 × 104 1.13 2.16 × 105
7.00 × 104 1.32 2.52 × 105
8.00 × 104 1.51 2.88 × 105
8.26 × 104 1.56 2.97 × 105
Steel I Beam: W12 × 26 (Wide Flange 12 inch tall × 26 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
26.0 0.00249 210
30.0 0.00287 243
40.0 0.00383 323
50.0 0.00479 404
60.0 0.00574 485
70.0 0.00670 566
80.0 0.00766 647
90.0 0.00862 728
100 0.00957 809
200 0.0191 1620
300 0.0287 2430
400 0.0383 3230
500 0.0479 4040
600 0.0574 4850
700 0.0670 5660
800 0.0766 6470
900 0.0862 7280
1000 0.0957 8090
2000 0.191 1.62 × 104
3000 0.287 2.43 × 104
4000 0.383 3.23 × 104
5000 0.479 4.04 × 104
6000 0.574 4.85 × 104
7000 0.670 5.66 × 104
8000 0.766 6.47 × 104
9000 0.862 7.28 × 104
1.00 × 104 0.957 8.09 × 104
2.00 × 104 1.91 1.62 × 105
3.00 × 104 2.87 2.43 × 105
3.67 × 104 3.52 2.97 × 105
Steel I Beam: W12 × 26 (Wide Flange 12 inch tall × 26 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
26.0 0.00787 374
30.0 0.00908 431
40.0 0.0121 575
50.0 0.0151 719
60.0 0.0182 863
70.0 0.0212 1010
80.0 0.0242 1150
90.0 0.0272 1290
100 0.0303 1440
200 0.0605 2880
300 0.0908 4310
400 0.121 5750
500 0.151 7190
600 0.182 8630
700 0.212 1.01 × 104
800 0.242 1.15 × 104
900 0.272 1.29 × 104
1000 0.303 1.44 × 104
2000 0.605 2.88 × 104
3000 0.908 4.31 × 104
4000 1.21 5.75 × 104
5000 1.51 7.19 × 104
6000 1.82 8.63 × 104
7000 2.12 1.01 × 105
8000 2.42 1.15 × 105
9000 2.72 1.29 × 105
1.00 × 104 3.03 1.44 × 105
2.00 × 104 6.05 2.88 × 105
2.07 × 104 6.25 2.97 × 105
Steel I Beam: W12 × 26 (Wide Flange 12 inch tall × 26 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
26.0 0.0192 584
30.0 0.0222 674
40.0 0.0295 899
50.0 0.0369 1120
60.0 0.0443 1350
70.0 0.0517 1570
80.0 0.0591 1800
90.0 0.0665 2020
100 0.0739 2250
200 0.148 4490
300 0.222 6740
400 0.295 8990
500 0.369 1.12 × 104
600 0.443 1.35 × 104
700 0.517 1.57 × 104
800 0.591 1.80 × 104
900 0.665 2.02 × 104
1000 0.739 2.25 × 104
2000 1.48 4.49 × 104
3000 2.22 6.74 × 104
4000 2.95 8.99 × 104
5000 3.69 1.12 × 105
6000 4.43 1.35 × 105
7000 5.17 1.57 × 105
8000 5.91 1.80 × 105
9000 6.65 2.02 × 105
1.00 × 104 7.39 2.25 × 105
1.32 × 104 9.77 2.97 × 105
Steel I Beam: W12 × 26 (Wide Flange 12 inch tall × 26 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
26.0 0.0398 841
30.0 0.0460 970
40.0 0.0613 1290
50.0 0.0766 1620
60.0 0.0919 1940
70.0 0.107 2260
80.0 0.123 2590
90.0 0.138 2910
100 0.153 3230
200 0.306 6470
300 0.460 9700
400 0.613 1.29 × 104
500 0.766 1.62 × 104
600 0.919 1.94 × 104
700 1.07 2.26 × 104
800 1.23 2.59 × 104
900 1.38 2.91 × 104
1000 1.53 3.23 × 104
2000 3.06 6.47 × 104
3000 4.60 9.70 × 104
4000 6.13 1.29 × 105
5000 7.66 1.62 × 105
6000 9.19 1.94 × 105
7000 10.7 2.26 × 105
7980 12.2 2.58 × 105
Steel I Beam: W12 × 26 (Wide Flange 12 inch tall × 26 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
26.0 0.126 1500
30.0 0.145 1730
40.0 0.194 2300
50.0 0.242 2880
60.0 0.290 3450
70.0 0.339 4030
80.0 0.387 4600
90.0 0.436 5180
100 0.484 5750
200 0.968 1.15 × 104
300 1.45 1.73 × 104
400 1.94 2.30 × 104
500 2.42 2.88 × 104
600 2.90 3.45 × 104
700 3.39 4.03 × 104
800 3.87 4.60 × 104
900 4.36 5.18 × 104
1000 4.84 5.75 × 104
2000 9.68 1.15 × 105
2520 12.2 1.45 × 105
Steel I Beam: W12 × 26 (Wide Flange 12 inch tall × 26 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
26.0 0.307 2340
30.0 0.355 2700
40.0 0.473 3590
50.0 0.591 4490
60.0 0.709 5390
70.0 0.827 6290
80.0 0.946 7190
90.0 1.06 8090
100 1.18 8990
200 2.36 1.80 × 104
300 3.55 2.70 × 104
400 4.73 3.59 × 104
500 5.91 4.49 × 104
600 7.09 5.39 × 104
700 8.27 6.29 × 104
800 9.46 7.19 × 104
900 10.6 8.09 × 104
1000 11.8 8.99 × 104
1030 12.2 9.29 × 104
Steel I Beam: W12 × 26 (Wide Flange 12 inch tall × 26 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
26.0 0.637 3360
30.0 0.735 3880
40.0 0.980 5180
50.0 1.23 6470
60.0 1.47 7760
70.0 1.72 9060
80.0 1.96 1.04 × 104
90.0 2.21 1.16 × 104
100 2.45 1.29 × 104
200 4.90 2.59 × 104
300 7.35 3.88 × 104
400 9.80 5.18 × 104
499 12.2 6.45 × 104
Steel I Beam: W12 × 26 (Wide Flange 12 inch tall × 26 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
26.0 1.18 4580
30.0 1.36 5280
40.0 1.82 7040
50.0 2.27 8810
60.0 2.72 1.06 × 104
70.0 3.18 1.23 × 104
80.0 3.63 1.41 × 104
90.0 4.09 1.59 × 104
100 4.54 1.76 × 104
200 9.08 3.52 × 104
269 12.2 4.74 × 104
Steel I Beam: W12 × 26 (Wide Flange 12 inch tall × 26 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
26.0 2.01 5980
30.0 2.32 6900
40.0 3.10 9200
50.0 3.87 1.15 × 104
60.0 4.65 1.38 × 104
70.0 5.42 1.61 × 104
80.0 6.20 1.84 × 104
90.0 6.97 2.07 × 104
100 7.75 2.30 × 104
158 12.2 3.63 × 104
Steel I Beam: W12 × 26 (Wide Flange 12 inch tall × 26 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
26.0 3.23 7570
30.0 3.72 8730
40.0 4.96 1.16 × 104
50.0 6.20 1.46 × 104
60.0 7.44 1.75 × 104
70.0 8.69 2.04 × 104
80.0 9.93 2.33 × 104
90.0 11.2 2.62 × 104
98.5 12.2 2.87 × 104
Steel I Beam: W12 × 26 (Wide Flange 12 inch tall × 26 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
26.0 4.92 9340
30.0 5.67 1.08 × 104
40.0 7.56 1.44 × 104
50.0 9.46 1.80 × 104
60.0 11.3 2.16 × 104
64.6 12.2 2.32 × 104
Steel I Beam: W12 × 26 (Wide Flange 12 inch tall × 26 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
26.0 12.0 1.46 × 104
26.5 12.2 1.49 × 104
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