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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W10 × 112
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 = 716 in4) for the W10 × 112 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 × 112 (Wide Flange 10 inch tall × 112 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
112 4.53 × 10-6 10.3
200 8.09 × 10-6 18.4
300 1.21 × 10-5 27.5
400 1.62 × 10-5 36.7
500 2.02 × 10-5 45.9
600 2.43 × 10-5 55.1
700 2.83 × 10-5 64.2
800 3.23 × 10-5 73.4
900 3.64 × 10-5 82.6
1000 4.04 × 10-5 91.8
2000 8.09 × 10-5 184
3000 1.21 × 10-4 275
4000 1.62 × 10-4 367
5000 2.02 × 10-4 459
6000 2.43 × 10-4 551
7000 2.83 × 10-4 642
8000 3.23 × 10-4 734
9000 3.64 × 10-4 826
1.00 × 104 4.04 × 10-4 918
2.00 × 104 8.09 × 10-4 1840
3.00 × 104 0.00121 2750
4.00 × 104 0.00162 3670
5.00 × 104 0.00202 4590
6.00 × 104 0.00243 5510
7.00 × 104 0.00283 6420
8.00 × 104 0.00323 7340
9.00 × 104 0.00364 8260
1.00 × 105 0.00404 9180
2.00 × 105 0.00809 1.84 × 104
3.00 × 105 0.0121 2.75 × 104
4.00 × 105 0.0162 3.67 × 104
5.00 × 105 0.0202 4.59 × 104
6.00 × 105 0.0243 5.51 × 104
7.00 × 105 0.0283 6.42 × 104
8.00 × 105 0.0323 7.34 × 104
9.00 × 105 0.0364 8.26 × 104
1.00 × 106 0.0404 9.18 × 104
2.00 × 106 0.0809 1.84 × 105
3.00 × 106 0.121 2.75 × 105
3.24 × 106 0.131 2.97 × 105
Steel I Beam: W10 × 112 (Wide Flange 10 inch tall × 112 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
112 3.49 × 10-5 28.5
200 6.24 × 10-5 51.0
300 9.36 × 10-5 76.5
400 1.25 × 10-4 102
500 1.56 × 10-4 127
600 1.87 × 10-4 153
700 2.18 × 10-4 178
800 2.50 × 10-4 204
900 2.81 × 10-4 229
1000 3.12 × 10-4 255
2000 6.24 × 10-4 510
3000 9.36 × 10-4 765
4000 0.00125 1020
5000 0.00156 1270
6000 0.00187 1530
7000 0.00218 1780
8000 0.00250 2040
9000 0.00281 2290
1.00 × 104 0.00312 2550
2.00 × 104 0.00624 5100
3.00 × 104 0.00936 7650
4.00 × 104 0.0125 1.02 × 104
5.00 × 104 0.0156 1.27 × 104
6.00 × 104 0.0187 1.53 × 104
7.00 × 104 0.0218 1.78 × 104
8.00 × 104 0.0250 2.04 × 104
9.00 × 104 0.0281 2.29 × 104
1.00 × 105 0.0312 2.55 × 104
2.00 × 105 0.0624 5.10 × 104
3.00 × 105 0.0936 7.65 × 104
4.00 × 105 0.125 1.02 × 105
5.00 × 105 0.156 1.27 × 105
6.00 × 105 0.187 1.53 × 105
7.00 × 105 0.218 1.78 × 105
8.00 × 105 0.250 2.04 × 105
9.00 × 105 0.281 2.29 × 105
1.00 × 106 0.312 2.55 × 105
1.17 × 106 0.364 2.97 × 105
Steel I Beam: W10 × 112 (Wide Flange 10 inch tall × 112 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
112 5.59 × 10-4 114
200 9.98 × 10-4 204
300 0.00150 306
400 0.00200 408
500 0.00250 510
600 0.00300 612
700 0.00349 714
800 0.00399 816
900 0.00449 918
1000 0.00499 1020
2000 0.00998 2040
3000 0.0150 3060
4000 0.0200 4080
5000 0.0250 5100
6000 0.0300 6120
7000 0.0349 7140
8000 0.0399 8160
9000 0.0449 9180
1.00 × 104 0.0499 1.02 × 104
2.00 × 104 0.0998 2.04 × 104
3.00 × 104 0.150 3.06 × 104
4.00 × 104 0.200 4.08 × 104
5.00 × 104 0.250 5.10 × 104
6.00 × 104 0.300 6.12 × 104
7.00 × 104 0.349 7.14 × 104
8.00 × 104 0.399 8.16 × 104
9.00 × 104 0.449 9.18 × 104
1.00 × 105 0.499 1.02 × 105
2.00 × 105 0.998 2.04 × 105
2.91 × 105 1.45 2.97 × 105
Steel I Beam: W10 × 112 (Wide Flange 10 inch tall × 112 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
112 0.00283 257
200 0.00505 459
300 0.00758 688
400 0.0101 918
500 0.0126 1150
600 0.0152 1380
700 0.0177 1610
800 0.0202 1840
900 0.0227 2060
1000 0.0253 2290
2000 0.0505 4590
3000 0.0758 6880
4000 0.101 9180
5000 0.126 1.15 × 104
6000 0.152 1.38 × 104
7000 0.177 1.61 × 104
8000 0.202 1.84 × 104
9000 0.227 2.06 × 104
1.00 × 104 0.253 2.29 × 104
2.00 × 104 0.505 4.59 × 104
3.00 × 104 0.758 6.88 × 104
4.00 × 104 1.01 9.18 × 104
5.00 × 104 1.26 1.15 × 105
6.00 × 104 1.52 1.38 × 105
7.00 × 104 1.77 1.61 × 105
8.00 × 104 2.02 1.84 × 105
9.00 × 104 2.27 2.06 × 105
1.00 × 105 2.53 2.29 × 105
1.29 × 105 3.27 2.97 × 105
Steel I Beam: W10 × 112 (Wide Flange 10 inch tall × 112 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
112 0.00895 457
200 0.0160 816
300 0.0240 1220
400 0.0319 1630
500 0.0399 2040
600 0.0479 2450
700 0.0559 2850
800 0.0639 3260
900 0.0719 3670
1000 0.0799 4080
2000 0.160 8160
3000 0.240 1.22 × 104
4000 0.319 1.63 × 104
5000 0.399 2.04 × 104
6000 0.479 2.45 × 104
7000 0.559 2.85 × 104
8000 0.639 3.26 × 104
9000 0.719 3.67 × 104
1.00 × 104 0.799 4.08 × 104
2.00 × 104 1.60 8.16 × 104
3.00 × 104 2.40 1.22 × 105
4.00 × 104 3.19 1.63 × 105
5.00 × 104 3.99 2.04 × 105
6.00 × 104 4.79 2.45 × 105
7.00 × 104 5.59 2.85 × 105
7.28 × 104 5.82 2.97 × 105
Steel I Beam: W10 × 112 (Wide Flange 10 inch tall × 112 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
112 0.0218 714
200 0.0390 1270
300 0.0585 1910
400 0.0780 2550
500 0.0975 3190
600 0.117 3820
700 0.136 4460
800 0.156 5100
900 0.175 5730
1000 0.195 6370
2000 0.390 1.27 × 104
3000 0.585 1.91 × 104
4000 0.780 2.55 × 104
5000 0.975 3.19 × 104
6000 1.17 3.82 × 104
7000 1.36 4.46 × 104
8000 1.56 5.10 × 104
9000 1.75 5.73 × 104
1.00 × 104 1.95 6.37 × 104
2.00 × 104 3.90 1.27 × 105
3.00 × 104 5.85 1.91 × 105
4.00 × 104 7.80 2.55 × 105
4.66 × 104 9.09 2.97 × 105
Steel I Beam: W10 × 112 (Wide Flange 10 inch tall × 112 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
112 0.0453 1030
200 0.0809 1840
300 0.121 2750
400 0.162 3670
500 0.202 4590
600 0.243 5510
700 0.283 6420
800 0.323 7340
900 0.364 8260
1000 0.404 9180
2000 0.809 1.84 × 104
3000 1.21 2.75 × 104
4000 1.62 3.67 × 104
5000 2.02 4.59 × 104
6000 2.43 5.51 × 104
7000 2.83 6.42 × 104
8000 3.23 7.34 × 104
9000 3.64 8.26 × 104
1.00 × 104 4.04 9.18 × 104
2.00 × 104 8.09 1.84 × 105
2.81 × 104 11.4 2.58 × 105
Steel I Beam: W10 × 112 (Wide Flange 10 inch tall × 112 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
112 0.143 1830
200 0.256 3260
300 0.383 4890
400 0.511 6530
500 0.639 8160
600 0.767 9790
700 0.895 1.14 × 104
800 1.02 1.31 × 104
900 1.15 1.47 × 104
1000 1.28 1.63 × 104
2000 2.56 3.26 × 104
3000 3.83 4.89 × 104
4000 5.11 6.53 × 104
5000 6.39 8.16 × 104
6000 7.67 9.79 × 104
7000 8.95 1.14 × 105
8000 10.2 1.31 × 105
8890 11.4 1.45 × 105
Steel I Beam: W10 × 112 (Wide Flange 10 inch tall × 112 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
112 0.349 2850
200 0.624 5100
300 0.936 7650
400 1.25 1.02 × 104
500 1.56 1.27 × 104
600 1.87 1.53 × 104
700 2.18 1.78 × 104
800 2.50 2.04 × 104
900 2.81 2.29 × 104
1000 3.12 2.55 × 104
2000 6.24 5.10 × 104
3000 9.36 7.65 × 104
3640 11.4 9.28 × 104
Steel I Beam: W10 × 112 (Wide Flange 10 inch tall × 112 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
112 0.725 4110
200 1.29 7340
300 1.94 1.10 × 104
400 2.59 1.47 × 104
500 3.23 1.84 × 104
600 3.88 2.20 × 104
700 4.53 2.57 × 104
800 5.18 2.94 × 104
900 5.82 3.30 × 104
1000 6.47 3.67 × 104
1760 11.4 6.44 × 104
Steel I Beam: W10 × 112 (Wide Flange 10 inch tall × 112 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
112 1.34 5600
200 2.40 9990
300 3.60 1.50 × 104
400 4.79 2.00 × 104
500 5.99 2.50 × 104
600 7.19 3.00 × 104
700 8.39 3.50 × 104
800 9.59 4.00 × 104
900 10.8 4.50 × 104
948 11.4 4.73 × 104
Steel I Beam: W10 × 112 (Wide Flange 10 inch tall × 112 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
112 2.29 7310
200 4.09 1.31 × 104
300 6.13 1.96 × 104
400 8.18 2.61 × 104
500 10.2 3.26 × 104
556 11.4 3.63 × 104
Steel I Beam: W10 × 112 (Wide Flange 10 inch tall × 112 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
112 3.67 9250
200 6.55 1.65 × 104
300 9.83 2.48 × 104
347 11.4 2.86 × 104
Steel I Beam: W10 × 112 (Wide Flange 10 inch tall × 112 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
112 5.59 1.14 × 104
200 9.98 2.04 × 104
228 11.4 2.32 × 104
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