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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W10 × 54
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 = 303 in4) for the W10 × 54 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 × 54 (Wide Flange 10 inch tall × 54 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.0 5.57 × 10-6 9.71
60.0 6.19 × 10-6 10.8
70.0 7.22 × 10-6 12.6
80.0 8.25 × 10-6 14.4
90.0 9.28 × 10-6 16.2
100 1.03 × 10-5 18.0
200 2.06 × 10-5 36.0
300 3.09 × 10-5 53.9
400 4.13 × 10-5 71.9
500 5.16 × 10-5 89.9
600 6.19 × 10-5 108
700 7.22 × 10-5 126
800 8.25 × 10-5 144
900 9.28 × 10-5 162
1000 1.03 × 10-4 180
2000 2.06 × 10-4 360
3000 3.09 × 10-4 539
4000 4.13 × 10-4 719
5000 5.16 × 10-4 899
6000 6.19 × 10-4 1080
7000 7.22 × 10-4 1260
8000 8.25 × 10-4 1440
9000 9.28 × 10-4 1620
1.00 × 104 0.00103 1800
2.00 × 104 0.00206 3600
3.00 × 104 0.00309 5390
4.00 × 104 0.00413 7190
5.00 × 104 0.00516 8990
6.00 × 104 0.00619 1.08 × 104
7.00 × 104 0.00722 1.26 × 104
8.00 × 104 0.00825 1.44 × 104
9.00 × 104 0.00928 1.62 × 104
1.00 × 105 0.0103 1.80 × 104
2.00 × 105 0.0206 3.60 × 104
3.00 × 105 0.0309 5.39 × 104
4.00 × 105 0.0413 7.19 × 104
5.00 × 105 0.0516 8.99 × 104
6.00 × 105 0.0619 1.08 × 105
7.00 × 105 0.0722 1.26 × 105
8.00 × 105 0.0825 1.44 × 105
9.00 × 105 0.0928 1.62 × 105
1.00 × 106 0.103 1.80 × 105
1.65 × 106 0.170 2.97 × 105
Steel I Beam: W10 × 54 (Wide Flange 10 inch tall × 54 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.0 4.30 × 10-5 27.0
60.0 4.77 × 10-5 30.0
70.0 5.57 × 10-5 35.0
80.0 6.37 × 10-5 40.0
90.0 7.16 × 10-5 45.0
100 7.96 × 10-5 50.0
200 1.59 × 10-4 99.9
300 2.39 × 10-4 150
400 3.18 × 10-4 200
500 3.98 × 10-4 250
600 4.77 × 10-4 300
700 5.57 × 10-4 350
800 6.37 × 10-4 400
900 7.16 × 10-4 450
1000 7.96 × 10-4 500
2000 0.00159 999
3000 0.00239 1500
4000 0.00318 2000
5000 0.00398 2500
6000 0.00477 3000
7000 0.00557 3500
8000 0.00637 4000
9000 0.00716 4500
1.00 × 104 0.00796 5000
2.00 × 104 0.0159 9990
3.00 × 104 0.0239 1.50 × 104
4.00 × 104 0.0318 2.00 × 104
5.00 × 104 0.0398 2.50 × 104
6.00 × 104 0.0477 3.00 × 104
7.00 × 104 0.0557 3.50 × 104
8.00 × 104 0.0637 4.00 × 104
9.00 × 104 0.0716 4.50 × 104
1.00 × 105 0.0796 5.00 × 104
2.00 × 105 0.159 9.99 × 104
3.00 × 105 0.239 1.50 × 105
4.00 × 105 0.318 2.00 × 105
5.00 × 105 0.398 2.50 × 105
5.95 × 105 0.473 2.97 × 105
Steel I Beam: W10 × 54 (Wide Flange 10 inch tall × 54 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.0 6.88 × 10-4 108
60.0 7.64 × 10-4 120
70.0 8.91 × 10-4 140
80.0 0.00102 160
90.0 0.00115 180
100 0.00127 200
200 0.00255 400
300 0.00382 599
400 0.00509 799
500 0.00637 999
600 0.00764 1200
700 0.00891 1400
800 0.0102 1600
900 0.0115 1800
1000 0.0127 2000
2000 0.0255 4000
3000 0.0382 5990
4000 0.0509 7990
5000 0.0637 9990
6000 0.0764 1.20 × 104
7000 0.0891 1.40 × 104
8000 0.102 1.60 × 104
9000 0.115 1.80 × 104
1.00 × 104 0.127 2.00 × 104
2.00 × 104 0.255 4.00 × 104
3.00 × 104 0.382 5.99 × 104
4.00 × 104 0.509 7.99 × 104
5.00 × 104 0.637 9.99 × 104
6.00 × 104 0.764 1.20 × 105
7.00 × 104 0.891 1.40 × 105
8.00 × 104 1.02 1.60 × 105
9.00 × 104 1.15 1.80 × 105
1.00 × 105 1.27 2.00 × 105
1.49 × 105 1.89 2.97 × 105
Steel I Beam: W10 × 54 (Wide Flange 10 inch tall × 54 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.0 0.00348 243
60.0 0.00387 270
70.0 0.00451 315
80.0 0.00516 360
90.0 0.00580 405
100 0.00645 450
200 0.0129 899
300 0.0193 1350
400 0.0258 1800
500 0.0322 2250
600 0.0387 2700
700 0.0451 3150
800 0.0516 3600
900 0.0580 4050
1000 0.0645 4500
2000 0.129 8990
3000 0.193 1.35 × 104
4000 0.258 1.80 × 104
5000 0.322 2.25 × 104
6000 0.387 2.70 × 104
7000 0.451 3.15 × 104
8000 0.516 3.60 × 104
9000 0.580 4.05 × 104
1.00 × 104 0.645 4.50 × 104
2.00 × 104 1.29 8.99 × 104
3.00 × 104 1.93 1.35 × 105
4.00 × 104 2.58 1.80 × 105
5.00 × 104 3.22 2.25 × 105
6.00 × 104 3.87 2.70 × 105
6.61 × 104 4.26 2.97 × 105
Steel I Beam: W10 × 54 (Wide Flange 10 inch tall × 54 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.0 0.0110 432
60.0 0.0122 480
70.0 0.0143 559
80.0 0.0163 639
90.0 0.0183 719
100 0.0204 799
200 0.0407 1600
300 0.0611 2400
400 0.0815 3200
500 0.102 4000
600 0.122 4800
700 0.143 5590
800 0.163 6390
900 0.183 7190
1000 0.204 7990
2000 0.407 1.60 × 104
3000 0.611 2.40 × 104
4000 0.815 3.20 × 104
5000 1.02 4.00 × 104
6000 1.22 4.80 × 104
7000 1.43 5.59 × 104
8000 1.63 6.39 × 104
9000 1.83 7.19 × 104
1.00 × 104 2.04 7.99 × 104
2.00 × 104 4.07 1.60 × 105
3.00 × 104 6.11 2.40 × 105
3.72 × 104 7.57 2.97 × 105
Steel I Beam: W10 × 54 (Wide Flange 10 inch tall × 54 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.0 0.0269 674
60.0 0.0298 749
70.0 0.0348 874
80.0 0.0398 999
90.0 0.0448 1120
100 0.0497 1250
200 0.0995 2500
300 0.149 3750
400 0.199 5000
500 0.249 6240
600 0.298 7490
700 0.348 8740
800 0.398 9990
900 0.448 1.12 × 104
1000 0.497 1.25 × 104
2000 0.995 2.50 × 104
3000 1.49 3.75 × 104
4000 1.99 5.00 × 104
5000 2.49 6.24 × 104
6000 2.98 7.49 × 104
7000 3.48 8.74 × 104
8000 3.98 9.99 × 104
9000 4.48 1.12 × 105
1.00 × 104 4.97 1.25 × 105
2.00 × 104 9.95 2.50 × 105
2.38 × 104 11.8 2.97 × 105
Steel I Beam: W10 × 54 (Wide Flange 10 inch tall × 54 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.0 0.0557 971
60.0 0.0619 1080
70.0 0.0722 1260
80.0 0.0825 1440
90.0 0.0928 1620
100 0.103 1800
200 0.206 3600
300 0.309 5390
400 0.413 7190
500 0.516 8990
600 0.619 1.08 × 104
700 0.722 1.26 × 104
800 0.825 1.44 × 104
900 0.928 1.62 × 104
1000 1.03 1.80 × 104
2000 2.06 3.60 × 104
3000 3.09 5.39 × 104
4000 4.13 7.19 × 104
5000 5.16 8.99 × 104
6000 6.19 1.08 × 105
7000 7.22 1.26 × 105
8000 8.25 1.44 × 105
9000 9.28 1.62 × 105
9780 10.1 1.76 × 105
Steel I Beam: W10 × 54 (Wide Flange 10 inch tall × 54 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.0 0.176 1730
60.0 0.196 1920
70.0 0.228 2240
80.0 0.261 2560
90.0 0.293 2880
100 0.326 3200
200 0.652 6390
300 0.978 9590
400 1.30 1.28 × 104
500 1.63 1.60 × 104
600 1.96 1.92 × 104
700 2.28 2.24 × 104
800 2.61 2.56 × 104
900 2.93 2.88 × 104
1000 3.26 3.20 × 104
2000 6.52 6.39 × 104
3000 9.78 9.59 × 104
3100 10.1 9.90 × 104
Steel I Beam: W10 × 54 (Wide Flange 10 inch tall × 54 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.0 0.430 2700
60.0 0.477 3000
70.0 0.557 3500
80.0 0.637 4000
90.0 0.716 4500
100 0.796 5000
200 1.59 9990
300 2.39 1.50 × 104
400 3.18 2.00 × 104
500 3.98 2.50 × 104
600 4.77 3.00 × 104
700 5.57 3.50 × 104
800 6.37 4.00 × 104
900 7.16 4.50 × 104
1000 7.96 5.00 × 104
1270 10.1 6.33 × 104
Steel I Beam: W10 × 54 (Wide Flange 10 inch tall × 54 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.0 0.891 3880
60.0 0.990 4320
70.0 1.16 5040
80.0 1.32 5750
90.0 1.49 6470
100 1.65 7190
200 3.30 1.44 × 104
300 4.95 2.16 × 104
400 6.60 2.88 × 104
500 8.25 3.60 × 104
600 9.90 4.32 × 104
611 10.1 4.40 × 104
Steel I Beam: W10 × 54 (Wide Flange 10 inch tall × 54 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.0 1.65 5290
60.0 1.83 5870
70.0 2.14 6850
80.0 2.45 7830
90.0 2.75 8810
100 3.06 9790
200 6.11 1.96 × 104
300 9.17 2.94 × 104
330 10.1 3.23 × 104
Steel I Beam: W10 × 54 (Wide Flange 10 inch tall × 54 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.0 2.82 6910
60.0 3.13 7670
70.0 3.65 8950
80.0 4.17 1.02 × 104
90.0 4.69 1.15 × 104
100 5.22 1.28 × 104
193 10.1 2.47 × 104
Steel I Beam: W10 × 54 (Wide Flange 10 inch tall × 54 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.0 4.51 8740
60.0 5.01 9710
70.0 5.85 1.13 × 104
80.0 6.68 1.29 × 104
90.0 7.52 1.46 × 104
100 8.35 1.62 × 104
121 10.1 1.95 × 104
Steel I Beam: W10 × 54 (Wide Flange 10 inch tall × 54 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.0 6.88 1.08 × 104
60.0 7.64 1.20 × 104
70.0 8.91 1.40 × 104
79.2 10.1 1.58 × 104
Additional Information
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