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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » Wide Flange Steel I Beam » W10 × 77
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 = 455 in4) for the W10 × 77 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 × 77 (Wide Flange 10 inch tall × 77 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 4.05 × 10-6 12.1
80.0 4.21 × 10-6 12.6
90.0 4.73 × 10-6 14.2
100 5.26 × 10-6 15.7
200 1.05 × 10-5 31.5
300 1.58 × 10-5 47.2
400 2.10 × 10-5 62.9
500 2.63 × 10-5 78.6
600 3.16 × 10-5 94.4
700 3.68 × 10-5 110
800 4.21 × 10-5 126
900 4.73 × 10-5 142
1000 5.26 × 10-5 157
2000 1.05 × 10-4 315
3000 1.58 × 10-4 472
4000 2.10 × 10-4 629
5000 2.63 × 10-4 786
6000 3.16 × 10-4 944
7000 3.68 × 10-4 1100
8000 4.21 × 10-4 1260
9000 4.73 × 10-4 1420
1.00 × 104 5.26 × 10-4 1570
2.00 × 104 0.00105 3150
3.00 × 104 0.00158 4720
4.00 × 104 0.00210 6290
5.00 × 104 0.00263 7860
6.00 × 104 0.00316 9440
7.00 × 104 0.00368 1.10 × 104
8.00 × 104 0.00421 1.26 × 104
9.00 × 104 0.00473 1.42 × 104
1.00 × 105 0.00526 1.57 × 104
2.00 × 105 0.0105 3.15 × 104
3.00 × 105 0.0158 4.72 × 104
4.00 × 105 0.0210 6.29 × 104
5.00 × 105 0.0263 7.86 × 104
6.00 × 105 0.0316 9.44 × 104
7.00 × 105 0.0368 1.10 × 105
8.00 × 105 0.0421 1.26 × 105
9.00 × 105 0.0473 1.42 × 105
1.00 × 106 0.0526 1.57 × 105
1.89 × 106 0.0994 2.97 × 105
Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 3.13 × 10-5 33.6
80.0 3.25 × 10-5 34.9
90.0 3.65 × 10-5 39.3
100 4.06 × 10-5 43.7
200 8.12 × 10-5 87.4
300 1.22 × 10-4 131
400 1.62 × 10-4 175
500 2.03 × 10-4 218
600 2.44 × 10-4 262
700 2.84 × 10-4 306
800 3.25 × 10-4 349
900 3.65 × 10-4 393
1000 4.06 × 10-4 437
2000 8.12 × 10-4 874
3000 0.00122 1310
4000 0.00162 1750
5000 0.00203 2180
6000 0.00244 2620
7000 0.00284 3060
8000 0.00325 3490
9000 0.00365 3930
1.00 × 104 0.00406 4370
2.00 × 104 0.00812 8740
3.00 × 104 0.0122 1.31 × 104
4.00 × 104 0.0162 1.75 × 104
5.00 × 104 0.0203 2.18 × 104
6.00 × 104 0.0244 2.62 × 104
7.00 × 104 0.0284 3.06 × 104
8.00 × 104 0.0325 3.49 × 104
9.00 × 104 0.0365 3.93 × 104
1.00 × 105 0.0406 4.37 × 104
2.00 × 105 0.0812 8.74 × 104
3.00 × 105 0.122 1.31 × 105
4.00 × 105 0.162 1.75 × 105
5.00 × 105 0.203 2.18 × 105
6.00 × 105 0.244 2.62 × 105
6.80 × 105 0.276 2.97 × 105
Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 5.00 × 10-4 135
80.0 5.20 × 10-4 140
90.0 5.84 × 10-4 157
100 6.49 × 10-4 175
200 0.00130 349
300 0.00195 524
400 0.00260 699
500 0.00325 874
600 0.00390 1050
700 0.00455 1220
800 0.00520 1400
900 0.00584 1570
1000 0.00649 1750
2000 0.0130 3490
3000 0.0195 5240
4000 0.0260 6990
5000 0.0325 8740
6000 0.0390 1.05 × 104
7000 0.0455 1.22 × 104
8000 0.0520 1.40 × 104
9000 0.0584 1.57 × 104
1.00 × 104 0.0649 1.75 × 104
2.00 × 104 0.130 3.49 × 104
3.00 × 104 0.195 5.24 × 104
4.00 × 104 0.260 6.99 × 104
5.00 × 104 0.325 8.74 × 104
6.00 × 104 0.390 1.05 × 105
7.00 × 104 0.455 1.22 × 105
8.00 × 104 0.520 1.40 × 105
9.00 × 104 0.584 1.57 × 105
1.00 × 105 0.649 1.75 × 105
1.70 × 105 1.10 2.97 × 105
Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 0.00253 303
80.0 0.00263 315
90.0 0.00296 354
100 0.00329 393
200 0.00658 786
300 0.00986 1180
400 0.0132 1570
500 0.0164 1970
600 0.0197 2360
700 0.0230 2750
800 0.0263 3150
900 0.0296 3540
1000 0.0329 3930
2000 0.0658 7860
3000 0.0986 1.18 × 104
4000 0.132 1.57 × 104
5000 0.164 1.97 × 104
6000 0.197 2.36 × 104
7000 0.230 2.75 × 104
8000 0.263 3.15 × 104
9000 0.296 3.54 × 104
1.00 × 104 0.329 3.93 × 104
2.00 × 104 0.658 7.86 × 104
3.00 × 104 0.986 1.18 × 105
4.00 × 104 1.32 1.57 × 105
5.00 × 104 1.64 1.97 × 105
6.00 × 104 1.97 2.36 × 105
7.00 × 104 2.30 2.75 × 105
7.56 × 104 2.48 2.97 × 105
Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 0.00800 538
80.0 0.00831 559
90.0 0.00935 629
100 0.0104 699
200 0.0208 1400
300 0.0312 2100
400 0.0416 2800
500 0.0520 3490
600 0.0623 4190
700 0.0727 4890
800 0.0831 5590
900 0.0935 6290
1000 0.104 6990
2000 0.208 1.40 × 104
3000 0.312 2.10 × 104
4000 0.416 2.80 × 104
5000 0.520 3.49 × 104
6000 0.623 4.19 × 104
7000 0.727 4.89 × 104
8000 0.831 5.59 × 104
9000 0.935 6.29 × 104
1.00 × 104 1.04 6.99 × 104
2.00 × 104 2.08 1.40 × 105
3.00 × 104 3.12 2.10 × 105
4.00 × 104 4.16 2.80 × 105
4.25 × 104 4.42 2.97 × 105
Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 0.0195 841
80.0 0.0203 874
90.0 0.0228 983
100 0.0254 1090
200 0.0507 2180
300 0.0761 3280
400 0.101 4370
500 0.127 5460
600 0.152 6550
700 0.178 7640
800 0.203 8740
900 0.228 9830
1000 0.254 1.09 × 104
2000 0.507 2.18 × 104
3000 0.761 3.28 × 104
4000 1.01 4.37 × 104
5000 1.27 5.46 × 104
6000 1.52 6.55 × 104
7000 1.78 7.64 × 104
8000 2.03 8.74 × 104
9000 2.28 9.83 × 104
1.00 × 104 2.54 1.09 × 105
2.00 × 104 5.07 2.18 × 105
2.72 × 104 6.90 2.97 × 105
Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 0.0405 1210
80.0 0.0421 1260
90.0 0.0473 1420
100 0.0526 1570
200 0.105 3150
300 0.158 4720
400 0.210 6290
500 0.263 7860
600 0.316 9440
700 0.368 1.10 × 104
800 0.421 1.26 × 104
900 0.473 1.42 × 104
1000 0.526 1.57 × 104
2000 1.05 3.15 × 104
3000 1.58 4.72 × 104
4000 2.10 6.29 × 104
5000 2.63 7.86 × 104
6000 3.16 9.44 × 104
7000 3.68 1.10 × 105
8000 4.21 1.26 × 105
9000 4.73 1.42 × 105
1.00 × 104 5.26 1.57 × 105
1.89 × 104 9.94 2.97 × 105
Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 0.128 2150
80.0 0.133 2240
90.0 0.150 2520
100 0.166 2800
200 0.333 5590
300 0.499 8390
400 0.665 1.12 × 104
500 0.831 1.40 × 104
600 0.998 1.68 × 104
700 1.16 1.96 × 104
800 1.33 2.24 × 104
900 1.50 2.52 × 104
1000 1.66 2.80 × 104
2000 3.33 5.59 × 104
3000 4.99 8.39 × 104
4000 6.65 1.12 × 105
5000 8.31 1.40 × 105
6000 9.98 1.68 × 105
6380 10.6 1.78 × 105
Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 0.313 3360
80.0 0.325 3490
90.0 0.365 3930
100 0.406 4370
200 0.812 8740
300 1.22 1.31 × 104
400 1.62 1.75 × 104
500 2.03 2.18 × 104
600 2.44 2.62 × 104
700 2.84 3.06 × 104
800 3.25 3.49 × 104
900 3.65 3.93 × 104
1000 4.06 4.37 × 104
2000 8.12 8.74 × 104
2610 10.6 1.14 × 105
Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 0.648 4840
80.0 0.673 5030
90.0 0.757 5660
100 0.842 6290
200 1.68 1.26 × 104
300 2.52 1.89 × 104
400 3.37 2.52 × 104
500 4.21 3.15 × 104
600 5.05 3.77 × 104
700 5.89 4.40 × 104
800 6.73 5.03 × 104
900 7.57 5.66 × 104
1000 8.42 6.29 × 104
1260 10.6 7.92 × 104
Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 1.20 6590
80.0 1.25 6850
90.0 1.40 7710
100 1.56 8560
200 3.12 1.71 × 104
300 4.68 2.57 × 104
400 6.24 3.42 × 104
500 7.80 4.28 × 104
600 9.36 5.14 × 104
680 10.6 5.82 × 104
Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 2.05 8610
80.0 2.13 8950
90.0 2.39 1.01 × 104
100 2.66 1.12 × 104
200 5.32 2.24 × 104
300 7.98 3.35 × 104
398 10.6 4.46 × 104
Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 3.28 1.09 × 104
80.0 3.41 1.13 × 104
90.0 3.83 1.27 × 104
100 4.26 1.42 × 104
200 8.52 2.83 × 104
249 10.6 3.52 × 104
Steel I Beam: W10 × 77 (Wide Flange 10 inch tall × 77 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 5.00 1.35 × 104
80.0 5.20 1.40 × 104
90.0 5.84 1.57 × 104
100 6.49 1.75 × 104
163 10.6 2.85 × 104
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