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Wide Flange Steel I Beam: W12 × 30
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W12 × 30
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 = 238 in4) for the W12 × 30 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 × 30 (Wide Flange 12 inch tall × 30 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 3.94 × 10-6 8.40
40.0 5.25 × 10-6 11.2
50.0 6.56 × 10-6 14.0
60.0 7.88 × 10-6 16.8
70.0 9.19 × 10-6 19.6
80.0 1.05 × 10-5 22.4
90.0 1.18 × 10-5 25.2
100 1.31 × 10-5 28.0
200 2.63 × 10-5 56.0
300 3.94 × 10-5 84.0
400 5.25 × 10-5 112
500 6.56 × 10-5 140
600 7.88 × 10-5 168
700 9.19 × 10-5 196
800 1.05 × 10-4 224
900 1.18 × 10-4 252
1000 1.31 × 10-4 280
2000 2.63 × 10-4 560
3000 3.94 × 10-4 840
4000 5.25 × 10-4 1120
5000 6.56 × 10-4 1400
6000 7.88 × 10-4 1680
7000 9.19 × 10-4 1960
8000 0.00105 2240
9000 0.00118 2520
1.00 × 104 0.00131 2800
2.00 × 104 0.00263 5600
3.00 × 104 0.00394 8400
4.00 × 104 0.00525 1.12 × 104
5.00 × 104 0.00656 1.40 × 104
6.00 × 104 0.00788 1.68 × 104
7.00 × 104 0.00919 1.96 × 104
8.00 × 104 0.0105 2.24 × 104
9.00 × 104 0.0118 2.52 × 104
1.00 × 105 0.0131 2.80 × 104
2.00 × 105 0.0263 5.60 × 104
3.00 × 105 0.0394 8.40 × 104
4.00 × 105 0.0525 1.12 × 105
5.00 × 105 0.0656 1.40 × 105
6.00 × 105 0.0788 1.68 × 105
7.00 × 105 0.0919 1.96 × 105
8.00 × 105 0.105 2.24 × 105
9.00 × 105 0.118 2.52 × 105
1.00 × 106 0.131 2.80 × 105
1.06 × 106 0.139 2.97 × 105
Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 3.04 × 10-5 23.3
40.0 4.05 × 10-5 31.1
50.0 5.07 × 10-5 38.9
60.0 6.08 × 10-5 46.7
70.0 7.09 × 10-5 54.4
80.0 8.10 × 10-5 62.2
90.0 9.12 × 10-5 70.0
100 1.01 × 10-4 77.8
200 2.03 × 10-4 156
300 3.04 × 10-4 233
400 4.05 × 10-4 311
500 5.07 × 10-4 389
600 6.08 × 10-4 467
700 7.09 × 10-4 544
800 8.10 × 10-4 622
900 9.12 × 10-4 700
1000 0.00101 778
2000 0.00203 1560
3000 0.00304 2330
4000 0.00405 3110
5000 0.00507 3890
6000 0.00608 4670
7000 0.00709 5440
8000 0.00810 6220
9000 0.00912 7000
1.00 × 104 0.0101 7780
2.00 × 104 0.0203 1.56 × 104
3.00 × 104 0.0304 2.33 × 104
4.00 × 104 0.0405 3.11 × 104
5.00 × 104 0.0507 3.89 × 104
6.00 × 104 0.0608 4.67 × 104
7.00 × 104 0.0709 5.44 × 104
8.00 × 104 0.0810 6.22 × 104
9.00 × 104 0.0912 7.00 × 104
1.00 × 105 0.101 7.78 × 104
2.00 × 105 0.203 1.56 × 105
3.00 × 105 0.304 2.33 × 105
3.82 × 105 0.387 2.97 × 105
Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 4.86 × 10-4 93.3
40.0 6.48 × 10-4 124
50.0 8.10 × 10-4 156
60.0 9.73 × 10-4 187
70.0 0.00113 218
80.0 0.00130 249
90.0 0.00146 280
100 0.00162 311
200 0.00324 622
300 0.00486 933
400 0.00648 1240
500 0.00810 1560
600 0.00973 1870
700 0.0113 2180
800 0.0130 2490
900 0.0146 2800
1000 0.0162 3110
2000 0.0324 6220
3000 0.0486 9330
4000 0.0648 1.24 × 104
5000 0.0810 1.56 × 104
6000 0.0973 1.87 × 104
7000 0.113 2.18 × 104
8000 0.130 2.49 × 104
9000 0.146 2.80 × 104
1.00 × 104 0.162 3.11 × 104
2.00 × 104 0.324 6.22 × 104
3.00 × 104 0.486 9.33 × 104
4.00 × 104 0.648 1.24 × 105
5.00 × 104 0.810 1.56 × 105
6.00 × 104 0.973 1.87 × 105
7.00 × 104 1.13 2.18 × 105
8.00 × 104 1.30 2.49 × 105
9.00 × 104 1.46 2.80 × 105
9.55 × 104 1.55 2.97 × 105
Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 0.00246 210
40.0 0.00328 280
50.0 0.00410 350
60.0 0.00492 420
70.0 0.00574 490
80.0 0.00656 560
90.0 0.00739 630
100 0.00821 700
200 0.0164 1400
300 0.0246 2100
400 0.0328 2800
500 0.0410 3500
600 0.0492 4200
700 0.0574 4900
800 0.0656 5600
900 0.0739 6300
1000 0.0821 7000
2000 0.164 1.40 × 104
3000 0.246 2.10 × 104
4000 0.328 2.80 × 104
5000 0.410 3.50 × 104
6000 0.492 4.20 × 104
7000 0.574 4.90 × 104
8000 0.656 5.60 × 104
9000 0.739 6.30 × 104
1.00 × 104 0.821 7.00 × 104
2.00 × 104 1.64 1.40 × 105
3.00 × 104 2.46 2.10 × 105
4.00 × 104 3.28 2.80 × 105
4.24 × 104 3.48 2.97 × 105
Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 0.00778 373
40.0 0.0104 498
50.0 0.0130 622
60.0 0.0156 747
70.0 0.0182 871
80.0 0.0207 995
90.0 0.0233 1120
100 0.0259 1240
200 0.0519 2490
300 0.0778 3730
400 0.104 4980
500 0.130 6220
600 0.156 7470
700 0.182 8710
800 0.207 9950
900 0.233 1.12 × 104
1000 0.259 1.24 × 104
2000 0.519 2.49 × 104
3000 0.778 3.73 × 104
4000 1.04 4.98 × 104
5000 1.30 6.22 × 104
6000 1.56 7.47 × 104
7000 1.82 8.71 × 104
8000 2.07 9.95 × 104
9000 2.33 1.12 × 105
1.00 × 104 2.59 1.24 × 105
2.00 × 104 5.19 2.49 × 105
2.39 × 104 6.19 2.97 × 105
Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 0.0190 583
40.0 0.0253 778
50.0 0.0317 972
60.0 0.0380 1170
70.0 0.0443 1360
80.0 0.0507 1560
90.0 0.0570 1750
100 0.0633 1940
200 0.127 3890
300 0.190 5830
400 0.253 7780
500 0.317 9720
600 0.380 1.17 × 104
700 0.443 1.36 × 104
800 0.507 1.56 × 104
900 0.570 1.75 × 104
1000 0.633 1.94 × 104
2000 1.27 3.89 × 104
3000 1.90 5.83 × 104
4000 2.53 7.78 × 104
5000 3.17 9.72 × 104
6000 3.80 1.17 × 105
7000 4.43 1.36 × 105
8000 5.07 1.56 × 105
9000 5.70 1.75 × 105
1.00 × 104 6.33 1.94 × 105
1.53 × 104 9.67 2.97 × 105
Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 0.0394 840
40.0 0.0525 1120
50.0 0.0656 1400
60.0 0.0788 1680
70.0 0.0919 1960
80.0 0.105 2240
90.0 0.118 2520
100 0.131 2800
200 0.263 5600
300 0.394 8400
400 0.525 1.12 × 104
500 0.656 1.40 × 104
600 0.788 1.68 × 104
700 0.919 1.96 × 104
800 1.05 2.24 × 104
900 1.18 2.52 × 104
1000 1.31 2.80 × 104
2000 2.63 5.60 × 104
3000 3.94 8.40 × 104
4000 5.25 1.12 × 105
5000 6.56 1.40 × 105
6000 7.88 1.68 × 105
7000 9.19 1.96 × 105
8000 10.5 2.24 × 105
9000 11.8 2.52 × 105
9400 12.3 2.63 × 105
Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 0.124 1490
40.0 0.166 1990
50.0 0.207 2490
60.0 0.249 2990
70.0 0.290 3480
80.0 0.332 3980
90.0 0.373 4480
100 0.415 4980
200 0.830 9950
300 1.24 1.49 × 104
400 1.66 1.99 × 104
500 2.07 2.49 × 104
600 2.49 2.99 × 104
700 2.90 3.48 × 104
800 3.32 3.98 × 104
900 3.73 4.48 × 104
1000 4.15 4.98 × 104
2000 8.30 9.95 × 104
2970 12.3 1.48 × 105
Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 0.304 2330
40.0 0.405 3110
50.0 0.507 3890
60.0 0.608 4670
70.0 0.709 5440
80.0 0.810 6220
90.0 0.912 7000
100 1.01 7780
200 2.03 1.56 × 104
300 3.04 2.33 × 104
400 4.05 3.11 × 104
500 5.07 3.89 × 104
600 6.08 4.67 × 104
700 7.09 5.44 × 104
800 8.10 6.22 × 104
900 9.12 7.00 × 104
1000 10.1 7.78 × 104
1220 12.3 9.47 × 104
Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 0.630 3360
40.0 0.840 4480
50.0 1.05 5600
60.0 1.26 6720
70.0 1.47 7840
80.0 1.68 8960
90.0 1.89 1.01 × 104
100 2.10 1.12 × 104
200 4.20 2.24 × 104
300 6.30 3.36 × 104
400 8.40 4.48 × 104
500 10.5 5.60 × 104
587 12.3 6.58 × 104
Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 1.17 4570
40.0 1.56 6100
50.0 1.95 7620
60.0 2.34 9150
70.0 2.72 1.07 × 104
80.0 3.11 1.22 × 104
90.0 3.50 1.37 × 104
100 3.89 1.52 × 104
200 7.78 3.05 × 104
300 11.7 4.57 × 104
317 12.3 4.83 × 104
Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 1.99 5970
40.0 2.66 7960
50.0 3.32 9950
60.0 3.98 1.19 × 104
70.0 4.65 1.39 × 104
80.0 5.31 1.59 × 104
90.0 5.98 1.79 × 104
100 6.64 1.99 × 104
186 12.3 3.70 × 104
Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 3.19 7560
40.0 4.25 1.01 × 104
50.0 5.32 1.26 × 104
60.0 6.38 1.51 × 104
70.0 7.44 1.76 × 104
80.0 8.51 2.02 × 104
90.0 9.57 2.27 × 104
100 10.6 2.52 × 104
116 12.3 2.92 × 104
Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 4.86 9330
40.0 6.48 1.24 × 104
50.0 8.10 1.56 × 104
60.0 9.73 1.87 × 104
70.0 11.3 2.18 × 104
76.1 12.3 2.37 × 104
Steel I Beam: W12 × 30 (Wide Flange 12 inch tall × 30 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
30.0 11.9 1.46 × 104
31.2 12.3 1.52 × 104
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