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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » 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 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 = 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
   
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 1.01 × 10-5 12.1
80.0 1.05 × 10-5 12.6
90.0 1.18 × 10-5 14.2
100 1.32 × 10-5 15.7
200 2.63 × 10-5 31.5
300 3.95 × 10-5 47.2
400 5.26 × 10-5 62.9
500 6.58 × 10-5 78.6
600 7.89 × 10-5 94.4
700 9.21 × 10-5 110
800 1.05 × 10-4 126
900 1.18 × 10-4 142
1000 1.32 × 10-4 157
2000 2.63 × 10-4 315
3000 3.95 × 10-4 472
4000 5.26 × 10-4 629
5000 6.58 × 10-4 786
6000 7.89 × 10-4 944
7000 9.21 × 10-4 1100
8000 0.00105 1260
9000 0.00118 1420
1.00 × 104 0.00132 1570
2.00 × 104 0.00263 3150
3.00 × 104 0.00395 4720
4.00 × 104 0.00526 6290
5.00 × 104 0.00658 7860
6.00 × 104 0.00789 9440
7.00 × 104 0.00921 1.10 × 104
8.00 × 104 0.0105 1.26 × 104
9.00 × 104 0.0118 1.42 × 104
1.00 × 105 0.0132 1.57 × 104
2.00 × 105 0.0263 3.15 × 104
3.00 × 105 0.0395 4.72 × 104
4.00 × 105 0.0526 6.29 × 104
5.00 × 105 0.0658 7.86 × 104
6.00 × 105 0.0789 9.44 × 104
7.00 × 105 0.0921 1.10 × 105
8.00 × 105 0.105 1.26 × 105
9.00 × 105 0.118 1.42 × 105
1.00 × 106 0.132 1.57 × 105
1.89 × 106 0.248 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 7.81 × 10-5 33.6
80.0 8.12 × 10-5 34.9
90.0 9.13 × 10-5 39.3
100 1.01 × 10-4 43.7
200 2.03 × 10-4 87.4
300 3.04 × 10-4 131
400 4.06 × 10-4 175
500 5.07 × 10-4 218
600 6.09 × 10-4 262
700 7.10 × 10-4 306
800 8.12 × 10-4 349
900 9.13 × 10-4 393
1000 0.00101 437
2000 0.00203 874
3000 0.00304 1310
4000 0.00406 1750
5000 0.00507 2180
6000 0.00609 2620
7000 0.00710 3060
8000 0.00812 3490
9000 0.00913 3930
1.00 × 104 0.0101 4370
2.00 × 104 0.0203 8740
3.00 × 104 0.0304 1.31 × 104
4.00 × 104 0.0406 1.75 × 104
5.00 × 104 0.0507 2.18 × 104
6.00 × 104 0.0609 2.62 × 104
7.00 × 104 0.0710 3.06 × 104
8.00 × 104 0.0812 3.49 × 104
9.00 × 104 0.0913 3.93 × 104
1.00 × 105 0.101 4.37 × 104
2.00 × 105 0.203 8.74 × 104
3.00 × 105 0.304 1.31 × 105
4.00 × 105 0.406 1.75 × 105
5.00 × 105 0.507 2.18 × 105
6.00 × 105 0.609 2.62 × 105
6.80 × 105 0.690 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 0.00125 135
80.0 0.00130 140
90.0 0.00146 157
100 0.00162 175
200 0.00325 349
300 0.00487 524
400 0.00649 699
500 0.00812 874
600 0.00974 1050
700 0.0114 1220
800 0.0130 1400
900 0.0146 1570
1000 0.0162 1750
2000 0.0325 3490
3000 0.0487 5240
4000 0.0649 6990
5000 0.0812 8740
6000 0.0974 1.05 × 104
7000 0.114 1.22 × 104
8000 0.130 1.40 × 104
9000 0.146 1.57 × 104
1.00 × 104 0.162 1.75 × 104
2.00 × 104 0.325 3.49 × 104
3.00 × 104 0.487 5.24 × 104
4.00 × 104 0.649 6.99 × 104
5.00 × 104 0.812 8.74 × 104
6.00 × 104 0.974 1.05 × 105
7.00 × 104 1.14 1.22 × 105
8.00 × 104 1.30 1.40 × 105
9.00 × 104 1.46 1.57 × 105
1.00 × 105 1.62 1.75 × 105
1.70 × 105 2.76 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 0.00633 303
80.0 0.00658 315
90.0 0.00740 354
100 0.00822 393
200 0.0164 786
300 0.0247 1180
400 0.0329 1570
500 0.0411 1970
600 0.0493 2360
700 0.0575 2750
800 0.0658 3150
900 0.0740 3540
1000 0.0822 3930
2000 0.164 7860
3000 0.247 1.18 × 104
4000 0.329 1.57 × 104
5000 0.411 1.97 × 104
6000 0.493 2.36 × 104
7000 0.575 2.75 × 104
8000 0.658 3.15 × 104
9000 0.740 3.54 × 104
1.00 × 104 0.822 3.93 × 104
2.00 × 104 1.64 7.86 × 104
3.00 × 104 2.47 1.18 × 105
4.00 × 104 3.29 1.57 × 105
5.00 × 104 4.11 1.97 × 105
6.00 × 104 4.93 2.36 × 105
7.00 × 104 5.75 2.75 × 105
7.56 × 104 6.21 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 0.0200 538
80.0 0.0208 559
90.0 0.0234 629
100 0.0260 699
200 0.0520 1400
300 0.0779 2100
400 0.104 2800
500 0.130 3490
600 0.156 4190
700 0.182 4890
800 0.208 5590
900 0.234 6290
1000 0.260 6990
2000 0.520 1.40 × 104
3000 0.779 2.10 × 104
4000 1.04 2.80 × 104
5000 1.30 3.49 × 104
6000 1.56 4.19 × 104
7000 1.82 4.89 × 104
8000 2.08 5.59 × 104
9000 2.34 6.29 × 104
1.00 × 104 2.60 6.99 × 104
2.00 × 104 5.20 1.40 × 105
3.00 × 104 7.79 2.10 × 105
4.00 × 104 10.4 2.80 × 105
4.25 × 104 11.0 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 0.0488 841
80.0 0.0507 874
90.0 0.0571 983
100 0.0634 1090
200 0.127 2180
300 0.190 3280
400 0.254 4370
500 0.317 5460
600 0.381 6550
700 0.444 7640
800 0.507 8740
900 0.571 9830
1000 0.634 1.09 × 104
2000 1.27 2.18 × 104
3000 1.90 3.28 × 104
4000 2.54 4.37 × 104
5000 3.17 5.46 × 104
6000 3.81 6.55 × 104
7000 4.44 7.64 × 104
8000 5.07 8.74 × 104
9000 5.71 9.83 × 104
1.00 × 104 6.34 1.09 × 105
1.67 × 104 10.6 1.83 × 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 0.101 1210
80.0 0.105 1260
90.0 0.118 1420
100 0.132 1570
200 0.263 3150
300 0.395 4720
400 0.526 6290
500 0.658 7860
600 0.789 9440
700 0.921 1.10 × 104
800 1.05 1.26 × 104
900 1.18 1.42 × 104
1000 1.32 1.57 × 104
2000 2.63 3.15 × 104
3000 3.95 4.72 × 104
4000 5.26 6.29 × 104
5000 6.58 7.86 × 104
6000 7.89 9.44 × 104
7000 9.21 1.10 × 105
8000 10.5 1.26 × 105
8060 10.6 1.27 × 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 0.320 2150
80.0 0.333 2240
90.0 0.374 2520
100 0.416 2800
200 0.831 5590
300 1.25 8390
400 1.66 1.12 × 104
500 2.08 1.40 × 104
600 2.49 1.68 × 104
700 2.91 1.96 × 104
800 3.33 2.24 × 104
900 3.74 2.52 × 104
1000 4.16 2.80 × 104
2000 8.31 5.59 × 104
2550 10.6 7.13 × 104
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 0.781 3360
80.0 0.812 3490
90.0 0.913 3930
100 1.01 4370
200 2.03 8740
300 3.04 1.31 × 104
400 4.06 1.75 × 104
500 5.07 2.18 × 104
600 6.09 2.62 × 104
700 7.10 3.06 × 104
800 8.12 3.49 × 104
900 9.13 3.93 × 104
1000 10.1 4.37 × 104
1040 10.6 4.56 × 104
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 1.62 4840
80.0 1.68 5030
90.0 1.89 5660
100 2.10 6290
200 4.21 1.26 × 104
300 6.31 1.89 × 104
400 8.42 2.52 × 104
500 10.5 3.15 × 104
504 10.6 3.17 × 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 3.00 6590
80.0 3.12 6850
90.0 3.51 7710
100 3.90 8560
200 7.80 1.71 × 104
272 10.6 2.33 × 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 5.12 8610
80.0 5.32 8950
90.0 5.99 1.01 × 104
100 6.65 1.12 × 104
159 10.6 1.78 × 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 8.20 1.09 × 104
80.0 8.52 1.13 × 104
90.0 9.59 1.27 × 104
99.5 10.6 1.41 × 104
Additional Information
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