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Wide Flange Steel I Beam: W12 × 45
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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
   
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 4.02 × 10-6 8.37
50.0 4.46 × 10-6 9.30
60.0 5.36 × 10-6 11.2
70.0 6.25 × 10-6 13.0
80.0 7.14 × 10-6 14.9
90.0 8.04 × 10-6 16.7
100 8.93 × 10-6 18.6
200 1.79 × 10-5 37.2
300 2.68 × 10-5 55.8
400 3.57 × 10-5 74.4
500 4.46 × 10-5 93.0
600 5.36 × 10-5 112
700 6.25 × 10-5 130
800 7.14 × 10-5 149
900 8.04 × 10-5 167
1000 8.93 × 10-5 186
2000 1.79 × 10-4 372
3000 2.68 × 10-4 558
4000 3.57 × 10-4 744
5000 4.46 × 10-4 930
6000 5.36 × 10-4 1120
7000 6.25 × 10-4 1300
8000 7.14 × 10-4 1490
9000 8.04 × 10-4 1670
1.00 × 104 8.93 × 10-4 1860
2.00 × 104 0.00179 3720
3.00 × 104 0.00268 5580
4.00 × 104 0.00357 7440
5.00 × 104 0.00446 9300
6.00 × 104 0.00536 1.12 × 104
7.00 × 104 0.00625 1.30 × 104
8.00 × 104 0.00714 1.49 × 104
9.00 × 104 0.00804 1.67 × 104
1.00 × 105 0.00893 1.86 × 104
2.00 × 105 0.0179 3.72 × 104
3.00 × 105 0.0268 5.58 × 104
4.00 × 105 0.0357 7.44 × 104
5.00 × 105 0.0446 9.30 × 104
6.00 × 105 0.0536 1.12 × 105
7.00 × 105 0.0625 1.30 × 105
8.00 × 105 0.0714 1.49 × 105
9.00 × 105 0.0804 1.67 × 105
1.00 × 106 0.0893 1.86 × 105
1.60 × 106 0.143 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 3.10 × 10-5 23.3
50.0 3.44 × 10-5 25.8
60.0 4.13 × 10-5 31.0
70.0 4.82 × 10-5 36.2
80.0 5.51 × 10-5 41.3
90.0 6.20 × 10-5 46.5
100 6.89 × 10-5 51.7
200 1.38 × 10-4 103
300 2.07 × 10-4 155
400 2.76 × 10-4 207
500 3.44 × 10-4 258
600 4.13 × 10-4 310
700 4.82 × 10-4 362
800 5.51 × 10-4 413
900 6.20 × 10-4 465
1000 6.89 × 10-4 517
2000 0.00138 1030
3000 0.00207 1550
4000 0.00276 2070
5000 0.00344 2580
6000 0.00413 3100
7000 0.00482 3620
8000 0.00551 4130
9000 0.00620 4650
1.00 × 104 0.00689 5170
2.00 × 104 0.0138 1.03 × 104
3.00 × 104 0.0207 1.55 × 104
4.00 × 104 0.0276 2.07 × 104
5.00 × 104 0.0344 2.58 × 104
6.00 × 104 0.0413 3.10 × 104
7.00 × 104 0.0482 3.62 × 104
8.00 × 104 0.0551 4.13 × 104
9.00 × 104 0.0620 4.65 × 104
1.00 × 105 0.0689 5.17 × 104
2.00 × 105 0.138 1.03 × 105
3.00 × 105 0.207 1.55 × 105
4.00 × 105 0.276 2.07 × 105
5.00 × 105 0.344 2.58 × 105
5.75 × 105 0.396 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 4.96 × 10-4 93.0
50.0 5.51 × 10-4 103
60.0 6.61 × 10-4 124
70.0 7.72 × 10-4 145
80.0 8.82 × 10-4 165
90.0 9.92 × 10-4 186
100 0.00110 207
200 0.00220 413
300 0.00331 620
400 0.00441 827
500 0.00551 1030
600 0.00661 1240
700 0.00772 1450
800 0.00882 1650
900 0.00992 1860
1000 0.0110 2070
2000 0.0220 4130
3000 0.0331 6200
4000 0.0441 8270
5000 0.0551 1.03 × 104
6000 0.0661 1.24 × 104
7000 0.0772 1.45 × 104
8000 0.0882 1.65 × 104
9000 0.0992 1.86 × 104
1.00 × 104 0.110 2.07 × 104
2.00 × 104 0.220 4.13 × 104
3.00 × 104 0.331 6.20 × 104
4.00 × 104 0.441 8.27 × 104
5.00 × 104 0.551 1.03 × 105
6.00 × 104 0.661 1.24 × 105
7.00 × 104 0.772 1.45 × 105
8.00 × 104 0.882 1.65 × 105
9.00 × 104 0.992 1.86 × 105
1.00 × 105 1.10 2.07 × 105
1.44 × 105 1.58 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 0.00251 209
50.0 0.00279 233
60.0 0.00335 279
70.0 0.00391 326
80.0 0.00446 372
90.0 0.00502 419
100 0.00558 465
200 0.0112 930
300 0.0167 1400
400 0.0223 1860
500 0.0279 2330
600 0.0335 2790
700 0.0391 3260
800 0.0446 3720
900 0.0502 4190
1000 0.0558 4650
2000 0.112 9300
3000 0.167 1.40 × 104
4000 0.223 1.86 × 104
5000 0.279 2.33 × 104
6000 0.335 2.79 × 104
7000 0.391 3.26 × 104
8000 0.446 3.72 × 104
9000 0.502 4.19 × 104
1.00 × 104 0.558 4.65 × 104
2.00 × 104 1.12 9.30 × 104
3.00 × 104 1.67 1.40 × 105
4.00 × 104 2.23 1.86 × 105
5.00 × 104 2.79 2.33 × 105
6.00 × 104 3.35 2.79 × 105
6.39 × 104 3.56 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 0.00794 372
50.0 0.00882 413
60.0 0.0106 496
70.0 0.0123 579
80.0 0.0141 662
90.0 0.0159 744
100 0.0176 827
200 0.0353 1650
300 0.0529 2480
400 0.0705 3310
500 0.0882 4130
600 0.106 4960
700 0.123 5790
800 0.141 6620
900 0.159 7440
1000 0.176 8270
2000 0.353 1.65 × 104
3000 0.529 2.48 × 104
4000 0.705 3.31 × 104
5000 0.882 4.13 × 104
6000 1.06 4.96 × 104
7000 1.23 5.79 × 104
8000 1.41 6.62 × 104
9000 1.59 7.44 × 104
1.00 × 104 1.76 8.27 × 104
2.00 × 104 3.53 1.65 × 105
3.00 × 104 5.29 2.48 × 105
3.59 × 104 6.33 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 0.0194 581
50.0 0.0215 646
60.0 0.0258 775
70.0 0.0301 905
80.0 0.0344 1030
90.0 0.0388 1160
100 0.0431 1290
200 0.0861 2580
300 0.129 3880
400 0.172 5170
500 0.215 6460
600 0.258 7750
700 0.301 9050
800 0.344 1.03 × 104
900 0.388 1.16 × 104
1000 0.431 1.29 × 104
2000 0.861 2.58 × 104
3000 1.29 3.88 × 104
4000 1.72 5.17 × 104
5000 2.15 6.46 × 104
6000 2.58 7.75 × 104
7000 3.01 9.05 × 104
8000 3.44 1.03 × 105
9000 3.88 1.16 × 105
1.00 × 104 4.31 1.29 × 105
2.00 × 104 8.61 2.58 × 105
2.30 × 104 9.90 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 0.0402 837
50.0 0.0446 930
60.0 0.0536 1120
70.0 0.0625 1300
80.0 0.0714 1490
90.0 0.0804 1670
100 0.0893 1860
200 0.179 3720
300 0.268 5580
400 0.357 7440
500 0.446 9300
600 0.536 1.12 × 104
700 0.625 1.30 × 104
800 0.714 1.49 × 104
900 0.804 1.67 × 104
1000 0.893 1.86 × 104
2000 1.79 3.72 × 104
3000 2.68 5.58 × 104
4000 3.57 7.44 × 104
5000 4.46 9.30 × 104
6000 5.36 1.12 × 105
7000 6.25 1.30 × 105
8000 7.14 1.49 × 105
9000 8.04 1.67 × 105
1.00 × 104 8.93 1.86 × 105
1.60 × 104 14.3 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 0.127 1490
50.0 0.141 1650
60.0 0.169 1980
70.0 0.198 2320
80.0 0.226 2650
90.0 0.254 2980
100 0.282 3310
200 0.564 6620
300 0.847 9920
400 1.13 1.32 × 104
500 1.41 1.65 × 104
600 1.69 1.98 × 104
700 1.98 2.32 × 104
800 2.26 2.65 × 104
900 2.54 2.98 × 104
1000 2.82 3.31 × 104
2000 5.64 6.62 × 104
3000 8.47 9.92 × 104
4000 11.3 1.32 × 105
4270 12.1 1.41 × 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 0.310 2330
50.0 0.344 2580
60.0 0.413 3100
70.0 0.482 3620
80.0 0.551 4130
90.0 0.620 4650
100 0.689 5170
200 1.38 1.03 × 104
300 2.07 1.55 × 104
400 2.76 2.07 × 104
500 3.44 2.58 × 104
600 4.13 3.10 × 104
700 4.82 3.62 × 104
800 5.51 4.13 × 104
900 6.20 4.65 × 104
1000 6.89 5.17 × 104
1750 12.1 9.05 × 104
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 0.643 3350
50.0 0.714 3720
60.0 0.857 4470
70.0 1.00 5210
80.0 1.14 5950
90.0 1.29 6700
100 1.43 7440
200 2.86 1.49 × 104
300 4.29 2.23 × 104
400 5.71 2.98 × 104
500 7.14 3.72 × 104
600 8.57 4.47 × 104
700 10.0 5.21 × 104
800 11.4 5.95 × 104
844 12.1 6.28 × 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 1.19 4560
50.0 1.32 5070
60.0 1.59 6080
70.0 1.85 7090
80.0 2.12 8100
90.0 2.38 9120
100 2.65 1.01 × 104
200 5.29 2.03 × 104
300 7.94 3.04 × 104
400 10.6 4.05 × 104
456 12.1 4.62 × 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 2.03 5950
50.0 2.26 6620
60.0 2.71 7940
70.0 3.16 9260
80.0 3.61 1.06 × 104
90.0 4.06 1.19 × 104
100 4.51 1.32 × 104
200 9.03 2.65 × 104
267 12.1 3.53 × 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 3.25 7540
50.0 3.62 8370
60.0 4.34 1.00 × 104
70.0 5.06 1.17 × 104
80.0 5.79 1.34 × 104
90.0 6.51 1.51 × 104
100 7.23 1.67 × 104
167 12.1 2.79 × 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 4.96 9300
50.0 5.51 1.03 × 104
60.0 6.61 1.24 × 104
70.0 7.72 1.45 × 104
80.0 8.82 1.65 × 104
90.0 9.92 1.86 × 104
100 11.0 2.07 × 104
109 12.1 2.26 × 104
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