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Wide Flange Steel I Beam: W10 × 12
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W10 × 12
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 = 53.8 in4) for the W10 × 12 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: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 6.46 × 10-6 12.7
20.0 1.08 × 10-5 21.2
30.0 1.61 × 10-5 31.8
40.0 2.15 × 10-5 42.4
50.0 2.69 × 10-5 53.1
60.0 3.23 × 10-5 63.7
70.0 3.77 × 10-5 74.3
80.0 4.31 × 10-5 84.9
90.0 4.84 × 10-5 95.5
100 5.38 × 10-5 106
200 1.08 × 10-4 212
300 1.61 × 10-4 318
400 2.15 × 10-4 424
500 2.69 × 10-4 531
600 3.23 × 10-4 637
700 3.77 × 10-4 743
800 4.31 × 10-4 849
900 4.84 × 10-4 955
1000 5.38 × 10-4 1060
2000 0.00108 2120
3000 0.00161 3180
4000 0.00215 4240
5000 0.00269 5310
6000 0.00323 6370
7000 0.00377 7430
8000 0.00431 8490
9000 0.00484 9550
1.00 × 104 0.00538 1.06 × 104
2.00 × 104 0.0108 2.12 × 104
3.00 × 104 0.0161 3.18 × 104
4.00 × 104 0.0215 4.24 × 104
5.00 × 104 0.0269 5.31 × 104
6.00 × 104 0.0323 6.37 × 104
7.00 × 104 0.0377 7.43 × 104
8.00 × 104 0.0431 8.49 × 104
9.00 × 104 0.0484 9.55 × 104
1.00 × 105 0.0538 1.06 × 105
2.00 × 105 0.108 2.12 × 105
2.80 × 105 0.151 2.97 × 105
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 4.98 × 10-5 35.4
20.0 8.30 × 10-5 58.9
30.0 1.25 × 10-4 88.4
40.0 1.66 × 10-4 118
50.0 2.08 × 10-4 147
60.0 2.49 × 10-4 177
70.0 2.91 × 10-4 206
80.0 3.32 × 10-4 236
90.0 3.74 × 10-4 265
100 4.15 × 10-4 295
200 8.30 × 10-4 589
300 0.00125 884
400 0.00166 1180
500 0.00208 1470
600 0.00249 1770
700 0.00291 2060
800 0.00332 2360
900 0.00374 2650
1000 0.00415 2950
2000 0.00830 5890
3000 0.0125 8840
4000 0.0166 1.18 × 104
5000 0.0208 1.47 × 104
6000 0.0249 1.77 × 104
7000 0.0291 2.06 × 104
8000 0.0332 2.36 × 104
9000 0.0374 2.65 × 104
1.00 × 104 0.0415 2.95 × 104
2.00 × 104 0.0830 5.89 × 104
3.00 × 104 0.125 8.84 × 104
4.00 × 104 0.166 1.18 × 105
5.00 × 104 0.208 1.47 × 105
6.00 × 104 0.249 1.77 × 105
7.00 × 104 0.291 2.06 × 105
8.00 × 104 0.332 2.36 × 105
9.00 × 104 0.374 2.65 × 105
1.00 × 105 0.415 2.95 × 105
1.01 × 105 0.418 2.97 × 105
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 7.97 × 10-4 141
20.0 0.00133 236
30.0 0.00199 354
40.0 0.00266 472
50.0 0.00332 589
60.0 0.00399 707
70.0 0.00465 825
80.0 0.00531 943
90.0 0.00598 1060
100 0.00664 1180
200 0.0133 2360
300 0.0199 3540
400 0.0266 4720
500 0.0332 5890
600 0.0399 7070
700 0.0465 8250
800 0.0531 9430
900 0.0598 1.06 × 104
1000 0.0664 1.18 × 104
2000 0.133 2.36 × 104
3000 0.199 3.54 × 104
4000 0.266 4.72 × 104
5000 0.332 5.89 × 104
6000 0.399 7.07 × 104
7000 0.465 8.25 × 104
8000 0.531 9.43 × 104
9000 0.598 1.06 × 105
1.00 × 104 0.664 1.18 × 105
2.00 × 104 1.33 2.36 × 105
2.52 × 104 1.67 2.97 × 105
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 0.00404 318
20.0 0.00673 531
30.0 0.0101 796
40.0 0.0135 1060
50.0 0.0168 1330
60.0 0.0202 1590
70.0 0.0235 1860
80.0 0.0269 2120
90.0 0.0303 2390
100 0.0336 2650
200 0.0673 5310
300 0.101 7960
400 0.135 1.06 × 104
500 0.168 1.33 × 104
600 0.202 1.59 × 104
700 0.235 1.86 × 104
800 0.269 2.12 × 104
900 0.303 2.39 × 104
1000 0.336 2.65 × 104
2000 0.673 5.31 × 104
3000 1.01 7.96 × 104
4000 1.35 1.06 × 105
5000 1.68 1.33 × 105
6000 2.02 1.59 × 105
7000 2.35 1.86 × 105
8000 2.69 2.12 × 105
9000 3.03 2.39 × 105
1.00 × 104 3.36 2.65 × 105
1.12 × 104 3.77 2.97 × 105
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 0.0128 566
20.0 0.0213 943
30.0 0.0319 1410
40.0 0.0425 1890
50.0 0.0531 2360
60.0 0.0638 2830
70.0 0.0744 3300
80.0 0.0850 3770
90.0 0.0957 4240
100 0.106 4720
200 0.213 9430
300 0.319 1.41 × 104
400 0.425 1.89 × 104
500 0.531 2.36 × 104
600 0.638 2.83 × 104
700 0.744 3.30 × 104
800 0.850 3.77 × 104
900 0.957 4.24 × 104
1000 1.06 4.72 × 104
2000 2.13 9.43 × 104
3000 3.19 1.41 × 105
4000 4.25 1.89 × 105
5000 5.31 2.36 × 105
6000 6.38 2.83 × 105
6300 6.70 2.97 × 105
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 0.0311 884
20.0 0.0519 1470
30.0 0.0779 2210
40.0 0.104 2950
50.0 0.130 3680
60.0 0.156 4420
70.0 0.182 5160
80.0 0.208 5890
90.0 0.234 6630
100 0.260 7370
200 0.519 1.47 × 104
300 0.779 2.21 × 104
400 1.04 2.95 × 104
500 1.30 3.68 × 104
600 1.56 4.42 × 104
700 1.82 5.16 × 104
800 2.08 5.89 × 104
900 2.34 6.63 × 104
1000 2.60 7.37 × 104
2000 5.19 1.47 × 105
3000 7.79 2.21 × 105
3800 9.87 2.80 × 105
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 0.0646 1270
20.0 0.108 2120
30.0 0.161 3180
40.0 0.215 4240
50.0 0.269 5310
60.0 0.323 6370
70.0 0.377 7430
80.0 0.431 8490
90.0 0.484 9550
100 0.538 1.06 × 104
200 1.08 2.12 × 104
300 1.61 3.18 × 104
400 2.15 4.24 × 104
500 2.69 5.31 × 104
600 3.23 6.37 × 104
700 3.77 7.43 × 104
800 4.31 8.49 × 104
900 4.84 9.55 × 104
1000 5.38 1.06 × 105
1830 9.87 1.95 × 105
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 0.204 2260
20.0 0.340 3770
30.0 0.510 5660
40.0 0.680 7540
50.0 0.850 9430
60.0 1.02 1.13 × 104
70.0 1.19 1.32 × 104
80.0 1.36 1.51 × 104
90.0 1.53 1.70 × 104
100 1.70 1.89 × 104
200 3.40 3.77 × 104
300 5.10 5.66 × 104
400 6.80 7.54 × 104
500 8.50 9.43 × 104
580 9.87 1.09 × 105
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 0.498 3540
20.0 0.830 5890
30.0 1.25 8840
40.0 1.66 1.18 × 104
50.0 2.08 1.47 × 104
60.0 2.49 1.77 × 104
70.0 2.91 2.06 × 104
80.0 3.32 2.36 × 104
90.0 3.74 2.65 × 104
100 4.15 2.95 × 104
200 8.30 5.89 × 104
238 9.87 7.01 × 104
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 1.03 5090
20.0 1.72 8490
30.0 2.58 1.27 × 104
40.0 3.44 1.70 × 104
50.0 4.31 2.12 × 104
60.0 5.17 2.55 × 104
70.0 6.03 2.97 × 104
80.0 6.89 3.40 × 104
90.0 7.75 3.82 × 104
100 8.61 4.24 × 104
115 9.87 4.87 × 104
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 1.91 6930
20.0 3.19 1.16 × 104
30.0 4.79 1.73 × 104
40.0 6.38 2.31 × 104
50.0 7.98 2.89 × 104
60.0 9.57 3.47 × 104
61.9 9.87 3.57 × 104
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 3.27 9050
20.0 5.44 1.51 × 104
30.0 8.16 2.26 × 104
36.3 9.87 2.74 × 104
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 5.23 1.15 × 104
20.0 8.72 1.91 × 104
22.6 9.87 2.16 × 104
Steel I Beam: W10 × 12 (Wide Flange 10 inch tall × 12 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
12.0 7.97 1.41 × 104
14.9 9.87 1.75 × 104
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