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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W10 × 100
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 = 623 in4) for the W10 × 100 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 × 100 (Wide Flange 10 inch tall × 100 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 5.02 × 10-6 9.62
200 1.00 × 10-5 19.2
300 1.50 × 10-5 28.9
400 2.01 × 10-5 38.5
500 2.51 × 10-5 48.1
600 3.01 × 10-5 57.7
700 3.51 × 10-5 67.3
800 4.01 × 10-5 77.0
900 4.51 × 10-5 86.6
1000 5.02 × 10-5 96.2
2000 1.00 × 10-4 192
3000 1.50 × 10-4 289
4000 2.01 × 10-4 385
5000 2.51 × 10-4 481
6000 3.01 × 10-4 577
7000 3.51 × 10-4 673
8000 4.01 × 10-4 770
9000 4.51 × 10-4 866
1.00 × 104 5.02 × 10-4 962
2.00 × 104 0.00100 1920
3.00 × 104 0.00150 2890
4.00 × 104 0.00201 3850
5.00 × 104 0.00251 4810
6.00 × 104 0.00301 5770
7.00 × 104 0.00351 6730
8.00 × 104 0.00401 7700
9.00 × 104 0.00451 8660
1.00 × 105 0.00502 9620
2.00 × 105 0.0100 1.92 × 104
3.00 × 105 0.0150 2.89 × 104
4.00 × 105 0.0201 3.85 × 104
5.00 × 105 0.0251 4.81 × 104
6.00 × 105 0.0301 5.77 × 104
7.00 × 105 0.0351 6.73 × 104
8.00 × 105 0.0401 7.70 × 104
9.00 × 105 0.0451 8.66 × 104
1.00 × 106 0.0502 9.62 × 104
2.00 × 106 0.100 1.92 × 105
3.00 × 106 0.150 2.89 × 105
3.09 × 106 0.155 2.97 × 105
Steel I Beam: W10 × 100 (Wide Flange 10 inch tall × 100 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 3.87 × 10-5 26.7
200 7.74 × 10-5 53.5
300 1.16 × 10-4 80.2
400 1.55 × 10-4 107
500 1.94 × 10-4 134
600 2.32 × 10-4 160
700 2.71 × 10-4 187
800 3.10 × 10-4 214
900 3.48 × 10-4 241
1000 3.87 × 10-4 267
2000 7.74 × 10-4 535
3000 0.00116 802
4000 0.00155 1070
5000 0.00194 1340
6000 0.00232 1600
7000 0.00271 1870
8000 0.00310 2140
9000 0.00348 2410
1.00 × 104 0.00387 2670
2.00 × 104 0.00774 5350
3.00 × 104 0.0116 8020
4.00 × 104 0.0155 1.07 × 104
5.00 × 104 0.0194 1.34 × 104
6.00 × 104 0.0232 1.60 × 104
7.00 × 104 0.0271 1.87 × 104
8.00 × 104 0.0310 2.14 × 104
9.00 × 104 0.0348 2.41 × 104
1.00 × 105 0.0387 2.67 × 104
2.00 × 105 0.0774 5.35 × 104
3.00 × 105 0.116 8.02 × 104
4.00 × 105 0.155 1.07 × 105
5.00 × 105 0.194 1.34 × 105
6.00 × 105 0.232 1.60 × 105
7.00 × 105 0.271 1.87 × 105
8.00 × 105 0.310 2.14 × 105
9.00 × 105 0.348 2.41 × 105
1.00 × 106 0.387 2.67 × 105
1.11 × 106 0.430 2.97 × 105
Steel I Beam: W10 × 100 (Wide Flange 10 inch tall × 100 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 6.19 × 10-4 107
200 0.00124 214
300 0.00186 321
400 0.00248 428
500 0.00310 535
600 0.00372 641
700 0.00433 748
800 0.00495 855
900 0.00557 962
1000 0.00619 1070
2000 0.0124 2140
3000 0.0186 3210
4000 0.0248 4280
5000 0.0310 5350
6000 0.0372 6410
7000 0.0433 7480
8000 0.0495 8550
9000 0.0557 9620
1.00 × 104 0.0619 1.07 × 104
2.00 × 104 0.124 2.14 × 104
3.00 × 104 0.186 3.21 × 104
4.00 × 104 0.248 4.28 × 104
5.00 × 104 0.310 5.35 × 104
6.00 × 104 0.372 6.41 × 104
7.00 × 104 0.433 7.48 × 104
8.00 × 104 0.495 8.55 × 104
9.00 × 104 0.557 9.62 × 104
1.00 × 105 0.619 1.07 × 105
2.00 × 105 1.24 2.14 × 105
2.78 × 105 1.72 2.97 × 105
Steel I Beam: W10 × 100 (Wide Flange 10 inch tall × 100 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 0.00313 241
200 0.00627 481
300 0.00940 722
400 0.0125 962
500 0.0157 1200
600 0.0188 1440
700 0.0219 1680
800 0.0251 1920
900 0.0282 2160
1000 0.0313 2410
2000 0.0627 4810
3000 0.0940 7220
4000 0.125 9620
5000 0.157 1.20 × 104
6000 0.188 1.44 × 104
7000 0.219 1.68 × 104
8000 0.251 1.92 × 104
9000 0.282 2.16 × 104
1.00 × 104 0.313 2.41 × 104
2.00 × 104 0.627 4.81 × 104
3.00 × 104 0.940 7.22 × 104
4.00 × 104 1.25 9.62 × 104
5.00 × 104 1.57 1.20 × 105
6.00 × 104 1.88 1.44 × 105
7.00 × 104 2.19 1.68 × 105
8.00 × 104 2.51 1.92 × 105
9.00 × 104 2.82 2.16 × 105
1.00 × 105 3.13 2.41 × 105
1.23 × 105 3.87 2.97 × 105
Steel I Beam: W10 × 100 (Wide Flange 10 inch tall × 100 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 0.00991 428
200 0.0198 855
300 0.0297 1280
400 0.0396 1710
500 0.0495 2140
600 0.0594 2570
700 0.0694 2990
800 0.0793 3420
900 0.0892 3850
1000 0.0991 4280
2000 0.198 8550
3000 0.297 1.28 × 104
4000 0.396 1.71 × 104
5000 0.495 2.14 × 104
6000 0.594 2.57 × 104
7000 0.694 2.99 × 104
8000 0.793 3.42 × 104
9000 0.892 3.85 × 104
1.00 × 104 0.991 4.28 × 104
2.00 × 104 1.98 8.55 × 104
3.00 × 104 2.97 1.28 × 105
4.00 × 104 3.96 1.71 × 105
5.00 × 104 4.95 2.14 × 105
6.00 × 104 5.94 2.57 × 105
6.95 × 104 6.88 2.97 × 105
Steel I Beam: W10 × 100 (Wide Flange 10 inch tall × 100 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 0.0242 668
200 0.0484 1340
300 0.0726 2000
400 0.0968 2670
500 0.121 3340
600 0.145 4010
700 0.169 4680
800 0.194 5350
900 0.218 6010
1000 0.242 6680
2000 0.484 1.34 × 104
3000 0.726 2.00 × 104
4000 0.968 2.67 × 104
5000 1.21 3.34 × 104
6000 1.45 4.01 × 104
7000 1.69 4.68 × 104
8000 1.94 5.35 × 104
9000 2.18 6.01 × 104
1.00 × 104 2.42 6.68 × 104
2.00 × 104 4.84 1.34 × 105
3.00 × 104 7.26 2.00 × 105
4.00 × 104 9.68 2.67 × 105
4.45 × 104 10.8 2.97 × 105
Steel I Beam: W10 × 100 (Wide Flange 10 inch tall × 100 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 0.0502 962
200 0.100 1920
300 0.150 2890
400 0.201 3850
500 0.251 4810
600 0.301 5770
700 0.351 6730
800 0.401 7700
900 0.451 8660
1000 0.502 9620
2000 1.00 1.92 × 104
3000 1.50 2.89 × 104
4000 2.01 3.85 × 104
5000 2.51 4.81 × 104
6000 3.01 5.77 × 104
7000 3.51 6.73 × 104
8000 4.01 7.70 × 104
9000 4.51 8.66 × 104
1.00 × 104 5.02 9.62 × 104
2.00 × 104 10.0 1.92 × 105
2.21 × 104 11.1 2.13 × 105
Steel I Beam: W10 × 100 (Wide Flange 10 inch tall × 100 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 0.159 1710
200 0.317 3420
300 0.476 5130
400 0.634 6840
500 0.793 8550
600 0.951 1.03 × 104
700 1.11 1.20 × 104
800 1.27 1.37 × 104
900 1.43 1.54 × 104
1000 1.59 1.71 × 104
2000 3.17 3.42 × 104
3000 4.76 5.13 × 104
4000 6.34 6.84 × 104
5000 7.93 8.55 × 104
6000 9.51 1.03 × 105
7000 11.1 1.20 × 105
7000 11.1 1.20 × 105
Steel I Beam: W10 × 100 (Wide Flange 10 inch tall × 100 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 0.387 2670
200 0.774 5350
300 1.16 8020
400 1.55 1.07 × 104
500 1.94 1.34 × 104
600 2.32 1.60 × 104
700 2.71 1.87 × 104
800 3.10 2.14 × 104
900 3.48 2.41 × 104
1000 3.87 2.67 × 104
2000 7.74 5.35 × 104
2870 11.1 7.66 × 104
Steel I Beam: W10 × 100 (Wide Flange 10 inch tall × 100 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 0.803 3850
200 1.61 7700
300 2.41 1.15 × 104
400 3.21 1.54 × 104
500 4.01 1.92 × 104
600 4.82 2.31 × 104
700 5.62 2.69 × 104
800 6.42 3.08 × 104
900 7.22 3.46 × 104
1000 8.03 3.85 × 104
1380 11.1 5.32 × 104
Steel I Beam: W10 × 100 (Wide Flange 10 inch tall × 100 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 1.49 5240
200 2.97 1.05 × 104
300 4.46 1.57 × 104
400 5.95 2.10 × 104
500 7.43 2.62 × 104
600 8.92 3.14 × 104
700 10.4 3.67 × 104
747 11.1 3.91 × 104
Steel I Beam: W10 × 100 (Wide Flange 10 inch tall × 100 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 2.54 6840
200 5.07 1.37 × 104
300 7.61 2.05 × 104
400 10.1 2.74 × 104
438 11.1 2.99 × 104
Steel I Beam: W10 × 100 (Wide Flange 10 inch tall × 100 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 4.06 8660
200 8.13 1.73 × 104
273 11.1 2.37 × 104
Steel I Beam: W10 × 100 (Wide Flange 10 inch tall × 100 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 6.19 1.07 × 104
179 11.1 1.92 × 104
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