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Wide Flange Steel I Beam: W12 × 87
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » Wide Flange Steel I Beam » W12 × 87
Wide Flange Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in a single span, the maximum displacement w_max and the maximum normal stress stress_max occur at the center of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 740 in4) for the W12 × 87 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 × 87 (Wide Flange 12 inch tall × 87 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
87.0 7.03 × 10-6 9.94
90.0 7.28 × 10-6 10.3
100 8.09 × 10-6 11.4
200 1.62 × 10-5 22.9
300 2.43 × 10-5 34.3
400 3.23 × 10-5 45.7
500 4.04 × 10-5 57.1
600 4.85 × 10-5 68.6
700 5.66 × 10-5 80.0
800 6.47 × 10-5 91.4
900 7.28 × 10-5 103
1000 8.09 × 10-5 114
2000 1.62 × 10-4 229
3000 2.43 × 10-4 343
4000 3.23 × 10-4 457
5000 4.04 × 10-4 571
6000 4.85 × 10-4 686
7000 5.66 × 10-4 800
8000 6.47 × 10-4 914
9000 7.28 × 10-4 1030
1.00 × 104 8.09 × 10-4 1140
2.00 × 104 0.00162 2290
3.00 × 104 0.00243 3430
4.00 × 104 0.00323 4570
5.00 × 104 0.00404 5710
6.00 × 104 0.00485 6860
7.00 × 104 0.00566 8000
8.00 × 104 0.00647 9140
9.00 × 104 0.00728 1.03 × 104
1.00 × 105 0.00809 1.14 × 104
2.00 × 105 0.0162 2.29 × 104
3.00 × 105 0.0243 3.43 × 104
4.00 × 105 0.0323 4.57 × 104
5.00 × 105 0.0404 5.71 × 104
6.00 × 105 0.0485 6.86 × 104
7.00 × 105 0.0566 8.00 × 104
8.00 × 105 0.0647 9.14 × 104
9.00 × 105 0.0728 1.03 × 105
1.00 × 106 0.0809 1.14 × 105
2.00 × 106 0.162 2.29 × 105
2.60 × 106 0.210 2.97 × 105
Steel I Beam: W12 × 87 (Wide Flange 12 inch tall × 87 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
87.0 5.43 × 10-5 27.6
90.0 5.62 × 10-5 28.6
100 6.24 × 10-5 31.7
200 1.25 × 10-4 63.5
300 1.87 × 10-4 95.2
400 2.50 × 10-4 127
500 3.12 × 10-4 159
600 3.74 × 10-4 190
700 4.37 × 10-4 222
800 4.99 × 10-4 254
900 5.62 × 10-4 286
1000 6.24 × 10-4 317
2000 0.00125 635
3000 0.00187 952
4000 0.00250 1270
5000 0.00312 1590
6000 0.00374 1900
7000 0.00437 2220
8000 0.00499 2540
9000 0.00562 2860
1.00 × 104 0.00624 3170
2.00 × 104 0.0125 6350
3.00 × 104 0.0187 9520
4.00 × 104 0.0250 1.27 × 104
5.00 × 104 0.0312 1.59 × 104
6.00 × 104 0.0374 1.90 × 104
7.00 × 104 0.0437 2.22 × 104
8.00 × 104 0.0499 2.54 × 104
9.00 × 104 0.0562 2.86 × 104
1.00 × 105 0.0624 3.17 × 104
2.00 × 105 0.125 6.35 × 104
3.00 × 105 0.187 9.52 × 104
4.00 × 105 0.250 1.27 × 105
5.00 × 105 0.312 1.59 × 105
6.00 × 105 0.374 1.90 × 105
7.00 × 105 0.437 2.22 × 105
8.00 × 105 0.499 2.54 × 105
9.00 × 105 0.562 2.86 × 105
9.36 × 105 0.584 2.97 × 105
Steel I Beam: W12 × 87 (Wide Flange 12 inch tall × 87 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
87.0 8.68 × 10-4 110
90.0 8.98 × 10-4 114
100 9.98 × 10-4 127
200 0.00200 254
300 0.00299 381
400 0.00399 508
500 0.00499 635
600 0.00599 762
700 0.00699 889
800 0.00799 1020
900 0.00898 1140
1000 0.00998 1270
2000 0.0200 2540
3000 0.0299 3810
4000 0.0399 5080
5000 0.0499 6350
6000 0.0599 7620
7000 0.0699 8890
8000 0.0799 1.02 × 104
9000 0.0898 1.14 × 104
1.00 × 104 0.0998 1.27 × 104
2.00 × 104 0.200 2.54 × 104
3.00 × 104 0.299 3.81 × 104
4.00 × 104 0.399 5.08 × 104
5.00 × 104 0.499 6.35 × 104
6.00 × 104 0.599 7.62 × 104
7.00 × 104 0.699 8.89 × 104
8.00 × 104 0.799 1.02 × 105
9.00 × 104 0.898 1.14 × 105
1.00 × 105 0.998 1.27 × 105
2.00 × 105 2.00 2.54 × 105
2.34 × 105 2.33 2.97 × 105
Steel I Beam: W12 × 87 (Wide Flange 12 inch tall × 87 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
87.0 0.00440 249
90.0 0.00455 257
100 0.00505 286
200 0.0101 571
300 0.0152 857
400 0.0202 1140
500 0.0253 1430
600 0.0303 1710
700 0.0354 2000
800 0.0404 2290
900 0.0455 2570
1000 0.0505 2860
2000 0.101 5710
3000 0.152 8570
4000 0.202 1.14 × 104
5000 0.253 1.43 × 104
6000 0.303 1.71 × 104
7000 0.354 2.00 × 104
8000 0.404 2.29 × 104
9000 0.455 2.57 × 104
1.00 × 104 0.505 2.86 × 104
2.00 × 104 1.01 5.71 × 104
3.00 × 104 1.52 8.57 × 104
4.00 × 104 2.02 1.14 × 105
5.00 × 104 2.53 1.43 × 105
6.00 × 104 3.03 1.71 × 105
7.00 × 104 3.54 2.00 × 105
8.00 × 104 4.04 2.29 × 105
9.00 × 104 4.55 2.57 × 105
1.00 × 105 5.05 2.86 × 105
1.04 × 105 5.25 2.97 × 105
Steel I Beam: W12 × 87 (Wide Flange 12 inch tall × 87 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
87.0 0.0139 442
90.0 0.0144 457
100 0.0160 508
200 0.0319 1020
300 0.0479 1520
400 0.0639 2030
500 0.0799 2540
600 0.0958 3050
700 0.112 3560
800 0.128 4060
900 0.144 4570
1000 0.160 5080
2000 0.319 1.02 × 104
3000 0.479 1.52 × 104
4000 0.639 2.03 × 104
5000 0.799 2.54 × 104
6000 0.958 3.05 × 104
7000 1.12 3.56 × 104
8000 1.28 4.06 × 104
9000 1.44 4.57 × 104
1.00 × 104 1.60 5.08 × 104
2.00 × 104 3.19 1.02 × 105
3.00 × 104 4.79 1.52 × 105
4.00 × 104 6.39 2.03 × 105
5.00 × 104 7.99 2.54 × 105
5.85 × 104 9.34 2.97 × 105
Steel I Beam: W12 × 87 (Wide Flange 12 inch tall × 87 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
87.0 0.0339 691
90.0 0.0351 714
100 0.0390 794
200 0.0780 1590
300 0.117 2380
400 0.156 3170
500 0.195 3970
600 0.234 4760
700 0.273 5560
800 0.312 6350
900 0.351 7140
1000 0.390 7940
2000 0.780 1.59 × 104
3000 1.17 2.38 × 104
4000 1.56 3.17 × 104
5000 1.95 3.97 × 104
6000 2.34 4.76 × 104
7000 2.73 5.56 × 104
8000 3.12 6.35 × 104
9000 3.51 7.14 × 104
1.00 × 104 3.90 7.94 × 104
2.00 × 104 7.80 1.59 × 105
3.00 × 104 11.7 2.38 × 105
3.74 × 104 14.6 2.97 × 105
Steel I Beam: W12 × 87 (Wide Flange 12 inch tall × 87 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
87.0 0.0703 994
90.0 0.0728 1030
100 0.0809 1140
200 0.162 2290
300 0.243 3430
400 0.323 4570
500 0.404 5710
600 0.485 6860
700 0.566 8000
800 0.647 9140
900 0.728 1.03 × 104
1000 0.809 1.14 × 104
2000 1.62 2.29 × 104
3000 2.43 3.43 × 104
4000 3.23 4.57 × 104
5000 4.04 5.71 × 104
6000 4.85 6.86 × 104
7000 5.66 8.00 × 104
8000 6.47 9.14 × 104
9000 7.28 1.03 × 105
1.00 × 104 8.09 1.14 × 105
1.55 × 104 12.5 1.77 × 105
Steel I Beam: W12 × 87 (Wide Flange 12 inch tall × 87 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
87.0 0.222 1770
90.0 0.230 1830
100 0.256 2030
200 0.511 4060
300 0.767 6100
400 1.02 8130
500 1.28 1.02 × 104
600 1.53 1.22 × 104
700 1.79 1.42 × 104
800 2.04 1.63 × 104
900 2.30 1.83 × 104
1000 2.56 2.03 × 104
2000 5.11 4.06 × 104
3000 7.67 6.10 × 104
4000 10.2 8.13 × 104
4900 12.5 9.96 × 104
Steel I Beam: W12 × 87 (Wide Flange 12 inch tall × 87 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
87.0 0.543 2760
90.0 0.562 2860
100 0.624 3170
200 1.25 6350
300 1.87 9520
400 2.50 1.27 × 104
500 3.12 1.59 × 104
600 3.74 1.90 × 104
700 4.37 2.22 × 104
800 4.99 2.54 × 104
900 5.62 2.86 × 104
1000 6.24 3.17 × 104
2000 12.5 6.35 × 104
2010 12.5 6.38 × 104
Steel I Beam: W12 × 87 (Wide Flange 12 inch tall × 87 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
87.0 1.13 3980
90.0 1.16 4110
100 1.29 4570
200 2.59 9140
300 3.88 1.37 × 104
400 5.18 1.83 × 104
500 6.47 2.29 × 104
600 7.76 2.74 × 104
700 9.06 3.20 × 104
800 10.4 3.66 × 104
900 11.6 4.11 × 104
968 12.5 4.43 × 104
Steel I Beam: W12 × 87 (Wide Flange 12 inch tall × 87 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
87.0 2.09 5410
90.0 2.16 5600
100 2.40 6220
200 4.79 1.24 × 104
300 7.19 1.87 × 104
400 9.59 2.49 × 104
500 12.0 3.11 × 104
523 12.5 3.25 × 104
Steel I Beam: W12 × 87 (Wide Flange 12 inch tall × 87 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
87.0 3.56 7070
90.0 3.68 7310
100 4.09 8130
200 8.18 1.63 × 104
300 12.3 2.44 × 104
306 12.5 2.49 × 104
Steel I Beam: W12 × 87 (Wide Flange 12 inch tall × 87 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
87.0 5.70 8950
90.0 5.89 9260
100 6.55 1.03 × 104
191 12.5 1.97 × 104
Steel I Beam: W12 × 87 (Wide Flange 12 inch tall × 87 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
87.0 8.68 1.10 × 104
90.0 8.98 1.14 × 104
100 9.98 1.27 × 104
126 12.5 1.59 × 104
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