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Wide Flange Steel I Beam: W10 × 33
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » Wide Flange Steel I Beam » W10 × 33
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 = 170 in4) for the W10 × 33 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 × 33 (Wide Flange 10 inch tall × 33 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
33.0 4.65 × 10-6 12.7
40.0 5.63 × 10-6 15.5
50.0 7.04 × 10-6 19.3
60.0 8.45 × 10-6 23.2
70.0 9.86 × 10-6 27.0
80.0 1.13 × 10-5 30.9
90.0 1.27 × 10-5 34.8
100 1.41 × 10-5 38.6
200 2.82 × 10-5 77.3
300 4.22 × 10-5 116
400 5.63 × 10-5 155
500 7.04 × 10-5 193
600 8.45 × 10-5 232
700 9.86 × 10-5 270
800 1.13 × 10-4 309
900 1.27 × 10-4 348
1000 1.41 × 10-4 386
2000 2.82 × 10-4 773
3000 4.22 × 10-4 1160
4000 5.63 × 10-4 1550
5000 7.04 × 10-4 1930
6000 8.45 × 10-4 2320
7000 9.86 × 10-4 2700
8000 0.00113 3090
9000 0.00127 3480
1.00 × 104 0.00141 3860
2.00 × 104 0.00282 7730
3.00 × 104 0.00422 1.16 × 104
4.00 × 104 0.00563 1.55 × 104
5.00 × 104 0.00704 1.93 × 104
6.00 × 104 0.00845 2.32 × 104
7.00 × 104 0.00986 2.70 × 104
8.00 × 104 0.0113 3.09 × 104
9.00 × 104 0.0127 3.48 × 104
1.00 × 105 0.0141 3.86 × 104
2.00 × 105 0.0282 7.73 × 104
3.00 × 105 0.0422 1.16 × 105
4.00 × 105 0.0563 1.55 × 105
5.00 × 105 0.0704 1.93 × 105
6.00 × 105 0.0845 2.32 × 105
7.00 × 105 0.0986 2.70 × 105
7.69 × 105 0.108 2.97 × 105
Steel I Beam: W10 × 33 (Wide Flange 10 inch tall × 33 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
33.0 3.58 × 10-5 35.4
40.0 4.35 × 10-5 42.9
50.0 5.43 × 10-5 53.7
60.0 6.52 × 10-5 64.4
70.0 7.60 × 10-5 75.1
80.0 8.69 × 10-5 85.9
90.0 9.78 × 10-5 96.6
100 1.09 × 10-4 107
200 2.17 × 10-4 215
300 3.26 × 10-4 322
400 4.35 × 10-4 429
500 5.43 × 10-4 537
600 6.52 × 10-4 644
700 7.60 × 10-4 751
800 8.69 × 10-4 859
900 9.78 × 10-4 966
1000 0.00109 1070
2000 0.00217 2150
3000 0.00326 3220
4000 0.00435 4290
5000 0.00543 5370
6000 0.00652 6440
7000 0.00760 7510
8000 0.00869 8590
9000 0.00978 9660
1.00 × 104 0.0109 1.07 × 104
2.00 × 104 0.0217 2.15 × 104
3.00 × 104 0.0326 3.22 × 104
4.00 × 104 0.0435 4.29 × 104
5.00 × 104 0.0543 5.37 × 104
6.00 × 104 0.0652 6.44 × 104
7.00 × 104 0.0760 7.51 × 104
8.00 × 104 0.0869 8.59 × 104
9.00 × 104 0.0978 9.66 × 104
1.00 × 105 0.109 1.07 × 105
2.00 × 105 0.217 2.15 × 105
2.77 × 105 0.301 2.97 × 105
Steel I Beam: W10 × 33 (Wide Flange 10 inch tall × 33 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
33.0 5.74 × 10-4 142
40.0 6.95 × 10-4 172
50.0 8.69 × 10-4 215
60.0 0.00104 258
70.0 0.00122 300
80.0 0.00139 343
90.0 0.00156 386
100 0.00174 429
200 0.00348 859
300 0.00521 1290
400 0.00695 1720
500 0.00869 2150
600 0.0104 2580
700 0.0122 3000
800 0.0139 3430
900 0.0156 3860
1000 0.0174 4290
2000 0.0348 8590
3000 0.0521 1.29 × 104
4000 0.0695 1.72 × 104
5000 0.0869 2.15 × 104
6000 0.104 2.58 × 104
7000 0.122 3.00 × 104
8000 0.139 3.43 × 104
9000 0.156 3.86 × 104
1.00 × 104 0.174 4.29 × 104
2.00 × 104 0.348 8.59 × 104
3.00 × 104 0.521 1.29 × 105
4.00 × 104 0.695 1.72 × 105
5.00 × 104 0.869 2.15 × 105
6.00 × 104 1.04 2.58 × 105
6.92 × 104 1.20 2.97 × 105
Steel I Beam: W10 × 33 (Wide Flange 10 inch tall × 33 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
33.0 0.00290 319
40.0 0.00352 386
50.0 0.00440 483
60.0 0.00528 580
70.0 0.00616 676
80.0 0.00704 773
90.0 0.00792 869
100 0.00880 966
200 0.0176 1930
300 0.0264 2900
400 0.0352 3860
500 0.0440 4830
600 0.0528 5800
700 0.0616 6760
800 0.0704 7730
900 0.0792 8690
1000 0.0880 9660
2000 0.176 1.93 × 104
3000 0.264 2.90 × 104
4000 0.352 3.86 × 104
5000 0.440 4.83 × 104
6000 0.528 5.80 × 104
7000 0.616 6.76 × 104
8000 0.704 7.73 × 104
9000 0.792 8.69 × 104
1.00 × 104 0.880 9.66 × 104
2.00 × 104 1.76 1.93 × 105
3.00 × 104 2.64 2.90 × 105
3.08 × 104 2.71 2.97 × 105
Steel I Beam: W10 × 33 (Wide Flange 10 inch tall × 33 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
33.0 0.00918 567
40.0 0.0111 687
50.0 0.0139 859
60.0 0.0167 1030
70.0 0.0195 1200
80.0 0.0222 1370
90.0 0.0250 1550
100 0.0278 1720
200 0.0556 3430
300 0.0834 5150
400 0.111 6870
500 0.139 8590
600 0.167 1.03 × 104
700 0.195 1.20 × 104
800 0.222 1.37 × 104
900 0.250 1.55 × 104
1000 0.278 1.72 × 104
2000 0.556 3.43 × 104
3000 0.834 5.15 × 104
4000 1.11 6.87 × 104
5000 1.39 8.59 × 104
6000 1.67 1.03 × 105
7000 1.95 1.20 × 105
8000 2.22 1.37 × 105
9000 2.50 1.55 × 105
1.00 × 104 2.78 1.72 × 105
1.73 × 104 4.81 2.97 × 105
Steel I Beam: W10 × 33 (Wide Flange 10 inch tall × 33 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
33.0 0.0224 885
40.0 0.0272 1070
50.0 0.0339 1340
60.0 0.0407 1610
70.0 0.0475 1880
80.0 0.0543 2150
90.0 0.0611 2410
100 0.0679 2680
200 0.136 5370
300 0.204 8050
400 0.272 1.07 × 104
500 0.339 1.34 × 104
600 0.407 1.61 × 104
700 0.475 1.88 × 104
800 0.543 2.15 × 104
900 0.611 2.41 × 104
1000 0.679 2.68 × 104
2000 1.36 5.37 × 104
3000 2.04 8.05 × 104
4000 2.72 1.07 × 105
5000 3.39 1.34 × 105
6000 4.07 1.61 × 105
7000 4.75 1.88 × 105
8000 5.43 2.15 × 105
9000 6.11 2.41 × 105
1.00 × 104 6.79 2.68 × 105
1.11 × 104 7.52 2.97 × 105
Steel I Beam: W10 × 33 (Wide Flange 10 inch tall × 33 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
33.0 0.0465 1270
40.0 0.0563 1550
50.0 0.0704 1930
60.0 0.0845 2320
70.0 0.0986 2700
80.0 0.113 3090
90.0 0.127 3480
100 0.141 3860
200 0.282 7730
300 0.422 1.16 × 104
400 0.563 1.55 × 104
500 0.704 1.93 × 104
600 0.845 2.32 × 104
700 0.986 2.70 × 104
800 1.13 3.09 × 104
900 1.27 3.48 × 104
1000 1.41 3.86 × 104
2000 2.82 7.73 × 104
3000 4.22 1.16 × 105
4000 5.63 1.55 × 105
5000 7.04 1.93 × 105
6000 8.45 2.32 × 105
6910 9.73 2.67 × 105
Steel I Beam: W10 × 33 (Wide Flange 10 inch tall × 33 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
33.0 0.147 2270
40.0 0.178 2750
50.0 0.222 3430
60.0 0.267 4120
70.0 0.311 4810
80.0 0.356 5490
90.0 0.400 6180
100 0.445 6870
200 0.890 1.37 × 104
300 1.33 2.06 × 104
400 1.78 2.75 × 104
500 2.22 3.43 × 104
600 2.67 4.12 × 104
700 3.11 4.81 × 104
800 3.56 5.49 × 104
900 4.00 6.18 × 104
1000 4.45 6.87 × 104
2000 8.90 1.37 × 105
2190 9.73 1.50 × 105
Steel I Beam: W10 × 33 (Wide Flange 10 inch tall × 33 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
33.0 0.358 3540
40.0 0.435 4290
50.0 0.543 5370
60.0 0.652 6440
70.0 0.760 7510
80.0 0.869 8590
90.0 0.978 9660
100 1.09 1.07 × 104
200 2.17 2.15 × 104
300 3.26 3.22 × 104
400 4.35 4.29 × 104
500 5.43 5.37 × 104
600 6.52 6.44 × 104
700 7.60 7.51 × 104
800 8.69 8.59 × 104
896 9.73 9.61 × 104
Steel I Beam: W10 × 33 (Wide Flange 10 inch tall × 33 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
33.0 0.743 5100
40.0 0.901 6180
50.0 1.13 7730
60.0 1.35 9270
70.0 1.58 1.08 × 104
80.0 1.80 1.24 × 104
90.0 2.03 1.39 × 104
100 2.25 1.55 × 104
200 4.51 3.09 × 104
300 6.76 4.64 × 104
400 9.01 6.18 × 104
432 9.73 6.67 × 104
Steel I Beam: W10 × 33 (Wide Flange 10 inch tall × 33 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
33.0 1.38 6940
40.0 1.67 8410
50.0 2.09 1.05 × 104
60.0 2.50 1.26 × 104
70.0 2.92 1.47 × 104
80.0 3.34 1.68 × 104
90.0 3.76 1.89 × 104
100 4.17 2.10 × 104
200 8.35 4.21 × 104
233 9.73 4.90 × 104
Steel I Beam: W10 × 33 (Wide Flange 10 inch tall × 33 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
33.0 2.35 9070
40.0 2.85 1.10 × 104
50.0 3.56 1.37 × 104
60.0 4.27 1.65 × 104
70.0 4.98 1.92 × 104
80.0 5.70 2.20 × 104
90.0 6.41 2.47 × 104
100 7.12 2.75 × 104
137 9.73 3.75 × 104
Steel I Beam: W10 × 33 (Wide Flange 10 inch tall × 33 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
33.0 3.76 1.15 × 104
40.0 4.56 1.39 × 104
50.0 5.70 1.74 × 104
60.0 6.84 2.09 × 104
70.0 7.98 2.43 × 104
80.0 9.12 2.78 × 104
85.3 9.73 2.97 × 104
Steel I Beam: W10 × 33 (Wide Flange 10 inch tall × 33 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
33.0 5.74 1.42 × 104
40.0 6.95 1.72 × 104
50.0 8.69 2.15 × 104
56.0 9.73 2.40 × 104
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