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Wide Flange Steel I Beam: W10 × 77
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 three equal spans, we compute the displacement at the middle of the first and the third spans, and the maximum normal stress stress_max occuring at the second and third supports 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 5.29 × 10-6 9.69
80.0 5.49 × 10-6 10.1
90.0 6.18 × 10-6 11.3
100 6.87 × 10-6 12.6
200 1.37 × 10-5 25.2
300 2.06 × 10-5 37.7
400 2.75 × 10-5 50.3
500 3.43 × 10-5 62.9
600 4.12 × 10-5 75.5
700 4.81 × 10-5 88.1
800 5.49 × 10-5 101
900 6.18 × 10-5 113
1000 6.87 × 10-5 126
2000 1.37 × 10-4 252
3000 2.06 × 10-4 377
4000 2.75 × 10-4 503
5000 3.43 × 10-4 629
6000 4.12 × 10-4 755
7000 4.81 × 10-4 881
8000 5.49 × 10-4 1010
9000 6.18 × 10-4 1130
1.00 × 104 6.87 × 10-4 1260
2.00 × 104 0.00137 2520
3.00 × 104 0.00206 3770
4.00 × 104 0.00275 5030
5.00 × 104 0.00343 6290
6.00 × 104 0.00412 7550
7.00 × 104 0.00481 8810
8.00 × 104 0.00549 1.01 × 104
9.00 × 104 0.00618 1.13 × 104
1.00 × 105 0.00687 1.26 × 104
2.00 × 105 0.0137 2.52 × 104
3.00 × 105 0.0206 3.77 × 104
4.00 × 105 0.0275 5.03 × 104
5.00 × 105 0.0343 6.29 × 104
6.00 × 105 0.0412 7.55 × 104
7.00 × 105 0.0481 8.81 × 104
8.00 × 105 0.0549 1.01 × 105
9.00 × 105 0.0618 1.13 × 105
1.00 × 106 0.0687 1.26 × 105
2.00 × 106 0.137 2.52 × 105
2.36 × 106 0.162 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 4.08 × 10-5 26.9
80.0 4.24 × 10-5 28.0
90.0 4.77 × 10-5 31.5
100 5.30 × 10-5 34.9
200 1.06 × 10-4 69.9
300 1.59 × 10-4 105
400 2.12 × 10-4 140
500 2.65 × 10-4 175
600 3.18 × 10-4 210
700 3.71 × 10-4 245
800 4.24 × 10-4 280
900 4.77 × 10-4 315
1000 5.30 × 10-4 349
2000 0.00106 699
3000 0.00159 1050
4000 0.00212 1400
5000 0.00265 1750
6000 0.00318 2100
7000 0.00371 2450
8000 0.00424 2800
9000 0.00477 3150
1.00 × 104 0.00530 3490
2.00 × 104 0.0106 6990
3.00 × 104 0.0159 1.05 × 104
4.00 × 104 0.0212 1.40 × 104
5.00 × 104 0.0265 1.75 × 104
6.00 × 104 0.0318 2.10 × 104
7.00 × 104 0.0371 2.45 × 104
8.00 × 104 0.0424 2.80 × 104
9.00 × 104 0.0477 3.15 × 104
1.00 × 105 0.0530 3.49 × 104
2.00 × 105 0.106 6.99 × 104
3.00 × 105 0.159 1.05 × 105
4.00 × 105 0.212 1.40 × 105
5.00 × 105 0.265 1.75 × 105
6.00 × 105 0.318 2.10 × 105
7.00 × 105 0.371 2.45 × 105
8.00 × 105 0.424 2.80 × 105
8.50 × 105 0.450 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 6.53 × 10-4 108
80.0 6.78 × 10-4 112
90.0 7.63 × 10-4 126
100 8.48 × 10-4 140
200 0.00170 280
300 0.00254 419
400 0.00339 559
500 0.00424 699
600 0.00509 839
700 0.00594 978
800 0.00678 1120
900 0.00763 1260
1000 0.00848 1400
2000 0.0170 2800
3000 0.0254 4190
4000 0.0339 5590
5000 0.0424 6990
6000 0.0509 8390
7000 0.0594 9780
8000 0.0678 1.12 × 104
9000 0.0763 1.26 × 104
1.00 × 104 0.0848 1.40 × 104
2.00 × 104 0.170 2.80 × 104
3.00 × 104 0.254 4.19 × 104
4.00 × 104 0.339 5.59 × 104
5.00 × 104 0.424 6.99 × 104
6.00 × 104 0.509 8.39 × 104
7.00 × 104 0.594 9.78 × 104
8.00 × 104 0.678 1.12 × 105
9.00 × 104 0.763 1.26 × 105
1.00 × 105 0.848 1.40 × 105
2.00 × 105 1.70 2.80 × 105
2.13 × 105 1.80 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 0.00331 242
80.0 0.00343 252
90.0 0.00386 283
100 0.00429 315
200 0.00858 629
300 0.0129 944
400 0.0172 1260
500 0.0215 1570
600 0.0258 1890
700 0.0300 2200
800 0.0343 2520
900 0.0386 2830
1000 0.0429 3150
2000 0.0858 6290
3000 0.129 9440
4000 0.172 1.26 × 104
5000 0.215 1.57 × 104
6000 0.258 1.89 × 104
7000 0.300 2.20 × 104
8000 0.343 2.52 × 104
9000 0.386 2.83 × 104
1.00 × 104 0.429 3.15 × 104
2.00 × 104 0.858 6.29 × 104
3.00 × 104 1.29 9.44 × 104
4.00 × 104 1.72 1.26 × 105
5.00 × 104 2.15 1.57 × 105
6.00 × 104 2.58 1.89 × 105
7.00 × 104 3.00 2.20 × 105
8.00 × 104 3.43 2.52 × 105
9.00 × 104 3.86 2.83 × 105
9.44 × 104 4.05 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 0.0104 431
80.0 0.0109 447
90.0 0.0122 503
100 0.0136 559
200 0.0271 1120
300 0.0407 1680
400 0.0543 2240
500 0.0678 2800
600 0.0814 3350
700 0.0950 3910
800 0.109 4470
900 0.122 5030
1000 0.136 5590
2000 0.271 1.12 × 104
3000 0.407 1.68 × 104
4000 0.543 2.24 × 104
5000 0.678 2.80 × 104
6000 0.814 3.35 × 104
7000 0.950 3.91 × 104
8000 1.09 4.47 × 104
9000 1.22 5.03 × 104
1.00 × 104 1.36 5.59 × 104
2.00 × 104 2.71 1.12 × 105
3.00 × 104 4.07 1.68 × 105
4.00 × 104 5.43 2.24 × 105
5.00 × 104 6.78 2.80 × 105
5.31 × 104 7.21 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 0.0255 673
80.0 0.0265 699
90.0 0.0298 786
100 0.0331 874
200 0.0662 1750
300 0.0994 2620
400 0.132 3490
500 0.166 4370
600 0.199 5240
700 0.232 6120
800 0.265 6990
900 0.298 7860
1000 0.331 8740
2000 0.662 1.75 × 104
3000 0.994 2.62 × 104
4000 1.32 3.49 × 104
5000 1.66 4.37 × 104
6000 1.99 5.24 × 104
7000 2.32 6.12 × 104
8000 2.65 6.99 × 104
9000 2.98 7.86 × 104
1.00 × 104 3.31 8.74 × 104
2.00 × 104 6.62 1.75 × 105
3.00 × 104 9.94 2.62 × 105
3.40 × 104 11.3 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 0.0529 969
80.0 0.0549 1010
90.0 0.0618 1130
100 0.0687 1260
200 0.137 2520
300 0.206 3770
400 0.275 5030
500 0.343 6290
600 0.412 7550
700 0.481 8810
800 0.549 1.01 × 104
900 0.618 1.13 × 104
1000 0.687 1.26 × 104
2000 1.37 2.52 × 104
3000 2.06 3.77 × 104
4000 2.75 5.03 × 104
5000 3.43 6.29 × 104
6000 4.12 7.55 × 104
7000 4.81 8.81 × 104
8000 5.49 1.01 × 105
9000 6.18 1.13 × 105
1.00 × 104 6.87 1.26 × 105
1.54 × 104 10.6 1.94 × 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 0.167 1720
80.0 0.174 1790
90.0 0.195 2010
100 0.217 2240
200 0.434 4470
300 0.651 6710
400 0.868 8950
500 1.09 1.12 × 104
600 1.30 1.34 × 104
700 1.52 1.57 × 104
800 1.74 1.79 × 104
900 1.95 2.01 × 104
1000 2.17 2.24 × 104
2000 4.34 4.47 × 104
3000 6.51 6.71 × 104
4000 8.68 8.95 × 104
4880 10.6 1.09 × 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 0.408 2690
80.0 0.424 2800
90.0 0.477 3150
100 0.530 3490
200 1.06 6990
300 1.59 1.05 × 104
400 2.12 1.40 × 104
500 2.65 1.75 × 104
600 3.18 2.10 × 104
700 3.71 2.45 × 104
800 4.24 2.80 × 104
900 4.77 3.15 × 104
1000 5.30 3.49 × 104
2000 10.6 6.99 × 104
2000 10.6 6.99 × 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 0.846 3870
80.0 0.879 4030
90.0 0.989 4530
100 1.10 5030
200 2.20 1.01 × 104
300 3.30 1.51 × 104
400 4.40 2.01 × 104
500 5.49 2.52 × 104
600 6.59 3.02 × 104
700 7.69 3.52 × 104
800 8.79 4.03 × 104
900 9.89 4.53 × 104
965 10.6 4.85 × 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 1.57 5270
80.0 1.63 5480
90.0 1.83 6160
100 2.04 6850
200 4.07 1.37 × 104
300 6.11 2.05 × 104
400 8.14 2.74 × 104
500 10.2 3.42 × 104
521 10.6 3.57 × 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 2.67 6890
80.0 2.78 7160
90.0 3.13 8050
100 3.47 8950
200 6.95 1.79 × 104
300 10.4 2.68 × 104
305 10.6 2.73 × 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 4.28 8720
80.0 4.45 9060
90.0 5.01 1.02 × 104
100 5.56 1.13 × 104
191 10.6 2.16 × 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 6.53 1.08 × 104
80.0 6.78 1.12 × 104
90.0 7.63 1.26 × 104
100 8.48 1.40 × 104
125 10.6 1.75 × 104
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