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Wide Flange Steel I Beam: W12 × 87
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » 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 two equal spans, we compute the displacement at the middle of each span w_mid and the maximum normal stress stress_max occuring at the center support 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
L = 125 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 2.81 × 10-6 9.94
90.0 2.91 × 10-6 10.3
100 3.23 × 10-6 11.4
200 6.47 × 10-6 22.9
300 9.70 × 10-6 34.3
400 1.29 × 10-5 45.7
500 1.62 × 10-5 57.1
600 1.94 × 10-5 68.6
700 2.26 × 10-5 80.0
800 2.59 × 10-5 91.4
900 2.91 × 10-5 103
1000 3.23 × 10-5 114
2000 6.47 × 10-5 229
3000 9.70 × 10-5 343
4000 1.29 × 10-4 457
5000 1.62 × 10-4 571
6000 1.94 × 10-4 686
7000 2.26 × 10-4 800
8000 2.59 × 10-4 914
9000 2.91 × 10-4 1030
1.00 × 104 3.23 × 10-4 1140
2.00 × 104 6.47 × 10-4 2290
3.00 × 104 9.70 × 10-4 3430
4.00 × 104 0.00129 4570
5.00 × 104 0.00162 5710
6.00 × 104 0.00194 6860
7.00 × 104 0.00226 8000
8.00 × 104 0.00259 9140
9.00 × 104 0.00291 1.03 × 104
1.00 × 105 0.00323 1.14 × 104
2.00 × 105 0.00647 2.29 × 104
3.00 × 105 0.00970 3.43 × 104
4.00 × 105 0.0129 4.57 × 104
5.00 × 105 0.0162 5.71 × 104
6.00 × 105 0.0194 6.86 × 104
7.00 × 105 0.0226 8.00 × 104
8.00 × 105 0.0259 9.14 × 104
9.00 × 105 0.0291 1.03 × 105
1.00 × 106 0.0323 1.14 × 105
2.00 × 106 0.0647 2.29 × 105
2.60 × 106 0.0841 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 2.17 × 10-5 27.6
90.0 2.25 × 10-5 28.6
100 2.50 × 10-5 31.7
200 4.99 × 10-5 63.5
300 7.49 × 10-5 95.2
400 9.98 × 10-5 127
500 1.25 × 10-4 159
600 1.50 × 10-4 190
700 1.75 × 10-4 222
800 2.00 × 10-4 254
900 2.25 × 10-4 286
1000 2.50 × 10-4 317
2000 4.99 × 10-4 635
3000 7.49 × 10-4 952
4000 9.98 × 10-4 1270
5000 0.00125 1590
6000 0.00150 1900
7000 0.00175 2220
8000 0.00200 2540
9000 0.00225 2860
1.00 × 104 0.00250 3170
2.00 × 104 0.00499 6350
3.00 × 104 0.00749 9520
4.00 × 104 0.00998 1.27 × 104
5.00 × 104 0.0125 1.59 × 104
6.00 × 104 0.0150 1.90 × 104
7.00 × 104 0.0175 2.22 × 104
8.00 × 104 0.0200 2.54 × 104
9.00 × 104 0.0225 2.86 × 104
1.00 × 105 0.0250 3.17 × 104
2.00 × 105 0.0499 6.35 × 104
3.00 × 105 0.0749 9.52 × 104
4.00 × 105 0.0998 1.27 × 105
5.00 × 105 0.125 1.59 × 105
6.00 × 105 0.150 1.90 × 105
7.00 × 105 0.175 2.22 × 105
8.00 × 105 0.200 2.54 × 105
9.00 × 105 0.225 2.86 × 105
9.36 × 105 0.233 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 3.47 × 10-4 110
90.0 3.59 × 10-4 114
100 3.99 × 10-4 127
200 7.99 × 10-4 254
300 0.00120 381
400 0.00160 508
500 0.00200 635
600 0.00240 762
700 0.00280 889
800 0.00319 1020
900 0.00359 1140
1000 0.00399 1270
2000 0.00799 2540
3000 0.0120 3810
4000 0.0160 5080
5000 0.0200 6350
6000 0.0240 7620
7000 0.0280 8890
8000 0.0319 1.02 × 104
9000 0.0359 1.14 × 104
1.00 × 104 0.0399 1.27 × 104
2.00 × 104 0.0799 2.54 × 104
3.00 × 104 0.120 3.81 × 104
4.00 × 104 0.160 5.08 × 104
5.00 × 104 0.200 6.35 × 104
6.00 × 104 0.240 7.62 × 104
7.00 × 104 0.280 8.89 × 104
8.00 × 104 0.319 1.02 × 105
9.00 × 104 0.359 1.14 × 105
1.00 × 105 0.399 1.27 × 105
2.00 × 105 0.799 2.54 × 105
2.34 × 105 0.934 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 0.00176 249
90.0 0.00182 257
100 0.00202 286
200 0.00404 571
300 0.00606 857
400 0.00809 1140
500 0.0101 1430
600 0.0121 1710
700 0.0142 2000
800 0.0162 2290
900 0.0182 2570
1000 0.0202 2860
2000 0.0404 5710
3000 0.0606 8570
4000 0.0809 1.14 × 104
5000 0.101 1.43 × 104
6000 0.121 1.71 × 104
7000 0.142 2.00 × 104
8000 0.162 2.29 × 104
9000 0.182 2.57 × 104
1.00 × 104 0.202 2.86 × 104
2.00 × 104 0.404 5.71 × 104
3.00 × 104 0.606 8.57 × 104
4.00 × 104 0.809 1.14 × 105
5.00 × 104 1.01 1.43 × 105
6.00 × 104 1.21 1.71 × 105
7.00 × 104 1.42 2.00 × 105
8.00 × 104 1.62 2.29 × 105
9.00 × 104 1.82 2.57 × 105
1.00 × 105 2.02 2.86 × 105
1.04 × 105 2.10 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 0.00556 442
90.0 0.00575 457
100 0.00639 508
200 0.0128 1020
300 0.0192 1520
400 0.0256 2030
500 0.0319 2540
600 0.0383 3050
700 0.0447 3560
800 0.0511 4060
900 0.0575 4570
1000 0.0639 5080
2000 0.128 1.02 × 104
3000 0.192 1.52 × 104
4000 0.256 2.03 × 104
5000 0.319 2.54 × 104
6000 0.383 3.05 × 104
7000 0.447 3.56 × 104
8000 0.511 4.06 × 104
9000 0.575 4.57 × 104
1.00 × 104 0.639 5.08 × 104
2.00 × 104 1.28 1.02 × 105
3.00 × 104 1.92 1.52 × 105
4.00 × 104 2.56 2.03 × 105
5.00 × 104 3.19 2.54 × 105
5.85 × 104 3.74 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 0.0136 691
90.0 0.0140 714
100 0.0156 794
200 0.0312 1590
300 0.0468 2380
400 0.0624 3170
500 0.0780 3970
600 0.0936 4760
700 0.109 5560
800 0.125 6350
900 0.140 7140
1000 0.156 7940
2000 0.312 1.59 × 104
3000 0.468 2.38 × 104
4000 0.624 3.17 × 104
5000 0.780 3.97 × 104
6000 0.936 4.76 × 104
7000 1.09 5.56 × 104
8000 1.25 6.35 × 104
9000 1.40 7.14 × 104
1.00 × 104 1.56 7.94 × 104
2.00 × 104 3.12 1.59 × 105
3.00 × 104 4.68 2.38 × 105
3.74 × 104 5.84 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 0.0281 994
90.0 0.0291 1030
100 0.0323 1140
200 0.0647 2290
300 0.0970 3430
400 0.129 4570
500 0.162 5710
600 0.194 6860
700 0.226 8000
800 0.259 9140
900 0.291 1.03 × 104
1000 0.323 1.14 × 104
2000 0.647 2.29 × 104
3000 0.970 3.43 × 104
4000 1.29 4.57 × 104
5000 1.62 5.71 × 104
6000 1.94 6.86 × 104
7000 2.26 8.00 × 104
8000 2.59 9.14 × 104
9000 2.91 1.03 × 105
1.00 × 104 3.23 1.14 × 105
2.00 × 104 6.47 2.29 × 105
2.60 × 104 8.41 2.97 × 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 0.0889 1770
90.0 0.0920 1830
100 0.102 2030
200 0.204 4060
300 0.307 6100
400 0.409 8130
500 0.511 1.02 × 104
600 0.613 1.22 × 104
700 0.716 1.42 × 104
800 0.818 1.63 × 104
900 0.920 1.83 × 104
1000 1.02 2.03 × 104
2000 2.04 4.06 × 104
3000 3.07 6.10 × 104
4000 4.09 8.13 × 104
5000 5.11 1.02 × 105
6000 6.13 1.22 × 105
7000 7.16 1.42 × 105
8000 8.18 1.63 × 105
9000 9.20 1.83 × 105
1.00 × 104 10.2 2.03 × 105
1.46 × 104 14.9 2.97 × 105
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 0.217 2760
90.0 0.225 2860
100 0.250 3170
200 0.499 6350
300 0.749 9520
400 0.998 1.27 × 104
500 1.25 1.59 × 104
600 1.50 1.90 × 104
700 1.75 2.22 × 104
800 2.00 2.54 × 104
900 2.25 2.86 × 104
1000 2.50 3.17 × 104
2000 4.99 6.35 × 104
3000 7.49 9.52 × 104
4000 9.98 1.27 × 105
5000 12.5 1.59 × 105
5020 12.5 1.59 × 105
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 0.450 3980
90.0 0.466 4110
100 0.518 4570
200 1.04 9140
300 1.55 1.37 × 104
400 2.07 1.83 × 104
500 2.59 2.29 × 104
600 3.11 2.74 × 104
700 3.62 3.20 × 104
800 4.14 3.66 × 104
900 4.66 4.11 × 104
1000 5.18 4.57 × 104
2000 10.4 9.14 × 104
2420 12.5 1.11 × 105
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 0.834 5410
90.0 0.863 5600
100 0.959 6220
200 1.92 1.24 × 104
300 2.88 1.87 × 104
400 3.83 2.49 × 104
500 4.79 3.11 × 104
600 5.75 3.73 × 104
700 6.71 4.36 × 104
800 7.67 4.98 × 104
900 8.63 5.60 × 104
1000 9.59 6.22 × 104
1310 12.5 8.13 × 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 1.42 7070
90.0 1.47 7310
100 1.64 8130
200 3.27 1.63 × 104
300 4.91 2.44 × 104
400 6.54 3.25 × 104
500 8.18 4.06 × 104
600 9.81 4.88 × 104
700 11.4 5.69 × 104
766 12.5 6.23 × 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 2.28 8950
90.0 2.36 9260
100 2.62 1.03 × 104
200 5.24 2.06 × 104
300 7.86 3.09 × 104
400 10.5 4.11 × 104
478 12.5 4.92 × 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 3.47 1.10 × 104
90.0 3.59 1.14 × 104
100 3.99 1.27 × 104
200 7.99 2.54 × 104
300 12.0 3.81 × 104
314 12.5 3.98 × 104
Steel I Beam: W12 × 87 (Wide Flange 12 inch tall × 87 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
87.0 8.48 1.73 × 104
90.0 8.77 1.79 × 104
100 9.75 1.98 × 104
129 12.5 2.55 × 104
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