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Wide Flange Steel I Beam: W12 × 45
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W12 × 45
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 = 350 in4) for the W12 × 45 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 × 45 (Wide Flange 12 inch tall × 45 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 3.72 × 10-6 8.97
50.0 4.14 × 10-6 9.96
60.0 4.96 × 10-6 12.0
70.0 5.79 × 10-6 13.9
80.0 6.62 × 10-6 15.9
90.0 7.44 × 10-6 17.9
100 8.27 × 10-6 19.9
200 1.65 × 10-5 39.9
300 2.48 × 10-5 59.8
400 3.31 × 10-5 79.7
500 4.14 × 10-5 99.6
600 4.96 × 10-5 120
700 5.79 × 10-5 139
800 6.62 × 10-5 159
900 7.44 × 10-5 179
1000 8.27 × 10-5 199
2000 1.65 × 10-4 399
3000 2.48 × 10-4 598
4000 3.31 × 10-4 797
5000 4.14 × 10-4 996
6000 4.96 × 10-4 1200
7000 5.79 × 10-4 1390
8000 6.62 × 10-4 1590
9000 7.44 × 10-4 1790
1.00 × 104 8.27 × 10-4 1990
2.00 × 104 0.00165 3990
3.00 × 104 0.00248 5980
4.00 × 104 0.00331 7970
5.00 × 104 0.00414 9960
6.00 × 104 0.00496 1.20 × 104
7.00 × 104 0.00579 1.39 × 104
8.00 × 104 0.00662 1.59 × 104
9.00 × 104 0.00744 1.79 × 104
1.00 × 105 0.00827 1.99 × 104
2.00 × 105 0.0165 3.99 × 104
3.00 × 105 0.0248 5.98 × 104
4.00 × 105 0.0331 7.97 × 104
5.00 × 105 0.0414 9.96 × 104
6.00 × 105 0.0496 1.20 × 105
7.00 × 105 0.0579 1.39 × 105
8.00 × 105 0.0662 1.59 × 105
9.00 × 105 0.0744 1.79 × 105
1.00 × 106 0.0827 1.99 × 105
1.49 × 106 0.123 2.97 × 105
Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 2.87 × 10-5 24.9
50.0 3.19 × 10-5 27.7
60.0 3.83 × 10-5 33.2
70.0 4.47 × 10-5 38.7
80.0 5.11 × 10-5 44.3
90.0 5.74 × 10-5 49.8
100 6.38 × 10-5 55.4
200 1.28 × 10-4 111
300 1.91 × 10-4 166
400 2.55 × 10-4 221
500 3.19 × 10-4 277
600 3.83 × 10-4 332
700 4.47 × 10-4 387
800 5.11 × 10-4 443
900 5.74 × 10-4 498
1000 6.38 × 10-4 554
2000 0.00128 1110
3000 0.00191 1660
4000 0.00255 2210
5000 0.00319 2770
6000 0.00383 3320
7000 0.00447 3870
8000 0.00511 4430
9000 0.00574 4980
1.00 × 104 0.00638 5540
2.00 × 104 0.0128 1.11 × 104
3.00 × 104 0.0191 1.66 × 104
4.00 × 104 0.0255 2.21 × 104
5.00 × 104 0.0319 2.77 × 104
6.00 × 104 0.0383 3.32 × 104
7.00 × 104 0.0447 3.87 × 104
8.00 × 104 0.0511 4.43 × 104
9.00 × 104 0.0574 4.98 × 104
1.00 × 105 0.0638 5.54 × 104
2.00 × 105 0.128 1.11 × 105
3.00 × 105 0.191 1.66 × 105
4.00 × 105 0.255 2.21 × 105
5.00 × 105 0.319 2.77 × 105
5.37 × 105 0.342 2.97 × 105
Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 4.60 × 10-4 99.6
50.0 5.11 × 10-4 111
60.0 6.13 × 10-4 133
70.0 7.15 × 10-4 155
80.0 8.17 × 10-4 177
90.0 9.19 × 10-4 199
100 0.00102 221
200 0.00204 443
300 0.00306 664
400 0.00408 886
500 0.00511 1110
600 0.00613 1330
700 0.00715 1550
800 0.00817 1770
900 0.00919 1990
1000 0.0102 2210
2000 0.0204 4430
3000 0.0306 6640
4000 0.0408 8860
5000 0.0511 1.11 × 104
6000 0.0613 1.33 × 104
7000 0.0715 1.55 × 104
8000 0.0817 1.77 × 104
9000 0.0919 1.99 × 104
1.00 × 104 0.102 2.21 × 104
2.00 × 104 0.204 4.43 × 104
3.00 × 104 0.306 6.64 × 104
4.00 × 104 0.408 8.86 × 104
5.00 × 104 0.511 1.11 × 105
6.00 × 104 0.613 1.33 × 105
7.00 × 104 0.715 1.55 × 105
8.00 × 104 0.817 1.77 × 105
9.00 × 104 0.919 1.99 × 105
1.00 × 105 1.02 2.21 × 105
1.34 × 105 1.37 2.97 × 105
Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.00233 224
50.0 0.00258 249
60.0 0.00310 299
70.0 0.00362 349
80.0 0.00414 399
90.0 0.00465 448
100 0.00517 498
200 0.0103 996
300 0.0155 1490
400 0.0207 1990
500 0.0258 2490
600 0.0310 2990
700 0.0362 3490
800 0.0414 3990
900 0.0465 4480
1000 0.0517 4980
2000 0.103 9960
3000 0.155 1.49 × 104
4000 0.207 1.99 × 104
5000 0.258 2.49 × 104
6000 0.310 2.99 × 104
7000 0.362 3.49 × 104
8000 0.414 3.99 × 104
9000 0.465 4.48 × 104
1.00 × 104 0.517 4.98 × 104
2.00 × 104 1.03 9.96 × 104
3.00 × 104 1.55 1.49 × 105
4.00 × 104 2.07 1.99 × 105
5.00 × 104 2.58 2.49 × 105
5.96 × 104 3.08 2.97 × 105
Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.00735 399
50.0 0.00817 443
60.0 0.00980 531
70.0 0.0114 620
80.0 0.0131 709
90.0 0.0147 797
100 0.0163 886
200 0.0327 1770
300 0.0490 2660
400 0.0654 3540
500 0.0817 4430
600 0.0980 5310
700 0.114 6200
800 0.131 7090
900 0.147 7970
1000 0.163 8860
2000 0.327 1.77 × 104
3000 0.490 2.66 × 104
4000 0.654 3.54 × 104
5000 0.817 4.43 × 104
6000 0.980 5.31 × 104
7000 1.14 6.20 × 104
8000 1.31 7.09 × 104
9000 1.47 7.97 × 104
1.00 × 104 1.63 8.86 × 104
2.00 × 104 3.27 1.77 × 105
3.00 × 104 4.90 2.66 × 105
3.35 × 104 5.48 2.97 × 105
Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.0180 623
50.0 0.0199 692
60.0 0.0239 830
70.0 0.0279 969
80.0 0.0319 1110
90.0 0.0359 1250
100 0.0399 1380
200 0.0798 2770
300 0.120 4150
400 0.160 5540
500 0.199 6920
600 0.239 8300
700 0.279 9690
800 0.319 1.11 × 104
900 0.359 1.25 × 104
1000 0.399 1.38 × 104
2000 0.798 2.77 × 104
3000 1.20 4.15 × 104
4000 1.60 5.54 × 104
5000 1.99 6.92 × 104
6000 2.39 8.30 × 104
7000 2.79 9.69 × 104
8000 3.19 1.11 × 105
9000 3.59 1.25 × 105
1.00 × 104 3.99 1.38 × 105
2.00 × 104 7.98 2.77 × 105
2.15 × 104 8.56 2.97 × 105
Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.0372 897
50.0 0.0414 996
60.0 0.0496 1200
70.0 0.0579 1390
80.0 0.0662 1590
90.0 0.0744 1790
100 0.0827 1990
200 0.165 3990
300 0.248 5980
400 0.331 7970
500 0.414 9960
600 0.496 1.20 × 104
700 0.579 1.39 × 104
800 0.662 1.59 × 104
900 0.744 1.79 × 104
1000 0.827 1.99 × 104
2000 1.65 3.99 × 104
3000 2.48 5.98 × 104
4000 3.31 7.97 × 104
5000 4.14 9.96 × 104
6000 4.96 1.20 × 105
7000 5.79 1.39 × 105
8000 6.62 1.59 × 105
9000 7.44 1.79 × 105
1.00 × 104 8.27 1.99 × 105
1.49 × 104 12.3 2.97 × 105
Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.118 1590
50.0 0.131 1770
60.0 0.157 2130
70.0 0.183 2480
80.0 0.209 2830
90.0 0.235 3190
100 0.261 3540
200 0.523 7090
300 0.784 1.06 × 104
400 1.05 1.42 × 104
500 1.31 1.77 × 104
600 1.57 2.13 × 104
700 1.83 2.48 × 104
800 2.09 2.83 × 104
900 2.35 3.19 × 104
1000 2.61 3.54 × 104
2000 5.23 7.09 × 104
3000 7.84 1.06 × 105
4000 10.5 1.42 × 105
4610 12.1 1.63 × 105
Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.287 2490
50.0 0.319 2770
60.0 0.383 3320
70.0 0.447 3870
80.0 0.511 4430
90.0 0.574 4980
100 0.638 5540
200 1.28 1.11 × 104
300 1.91 1.66 × 104
400 2.55 2.21 × 104
500 3.19 2.77 × 104
600 3.83 3.32 × 104
700 4.47 3.87 × 104
800 5.11 4.43 × 104
900 5.74 4.98 × 104
1000 6.38 5.54 × 104
1890 12.1 1.05 × 105
Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.596 3590
50.0 0.662 3990
60.0 0.794 4780
70.0 0.926 5580
80.0 1.06 6380
90.0 1.19 7170
100 1.32 7970
200 2.65 1.59 × 104
300 3.97 2.39 × 104
400 5.29 3.19 × 104
500 6.62 3.99 × 104
600 7.94 4.78 × 104
700 9.26 5.58 × 104
800 10.6 6.38 × 104
900 11.9 7.17 × 104
911 12.1 7.26 × 104
Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 1.10 4880
50.0 1.23 5420
60.0 1.47 6510
70.0 1.72 7590
80.0 1.96 8680
90.0 2.21 9760
100 2.45 1.08 × 104
200 4.90 2.17 × 104
300 7.36 3.25 × 104
400 9.81 4.34 × 104
492 12.1 5.34 × 104
Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 1.88 6380
50.0 2.09 7090
60.0 2.51 8500
70.0 2.93 9920
80.0 3.35 1.13 × 104
90.0 3.76 1.28 × 104
100 4.18 1.42 × 104
200 8.37 2.83 × 104
288 12.1 4.09 × 104
Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 3.02 8070
50.0 3.35 8970
60.0 4.02 1.08 × 104
70.0 4.69 1.26 × 104
80.0 5.36 1.43 × 104
90.0 6.03 1.61 × 104
100 6.70 1.79 × 104
180 12.1 3.23 × 104
Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 4.60 9960
50.0 5.11 1.11 × 104
60.0 6.13 1.33 × 104
70.0 7.15 1.55 × 104
80.0 8.17 1.77 × 104
90.0 9.19 1.99 × 104
100 10.2 2.21 × 104
118 12.1 2.61 × 104
Steel I Beam: W12 × 45 (Wide Flange 12 inch tall × 45 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 11.2 1.56 × 104
48.4 12.1 1.67 × 104
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