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Wide Flange Steel I Beam: W10 × 33
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress stress_max occuring at the second and fourth supports 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 5.62 × 10-6 10.9
40.0 6.81 × 10-6 13.2
50.0 8.52 × 10-6 16.6
60.0 1.02 × 10-5 19.9
70.0 1.19 × 10-5 23.2
80.0 1.36 × 10-5 26.5
90.0 1.53 × 10-5 29.8
100 1.70 × 10-5 33.1
200 3.41 × 10-5 66.2
300 5.11 × 10-5 99.3
400 6.81 × 10-5 132
500 8.52 × 10-5 166
600 1.02 × 10-4 199
700 1.19 × 10-4 232
800 1.36 × 10-4 265
900 1.53 × 10-4 298
1000 1.70 × 10-4 331
2000 3.41 × 10-4 662
3000 5.11 × 10-4 993
4000 6.81 × 10-4 1320
5000 8.52 × 10-4 1660
6000 0.00102 1990
7000 0.00119 2320
8000 0.00136 2650
9000 0.00153 2980
1.00 × 104 0.00170 3310
2.00 × 104 0.00341 6620
3.00 × 104 0.00511 9930
4.00 × 104 0.00681 1.32 × 104
5.00 × 104 0.00852 1.66 × 104
6.00 × 104 0.0102 1.99 × 104
7.00 × 104 0.0119 2.32 × 104
8.00 × 104 0.0136 2.65 × 104
9.00 × 104 0.0153 2.98 × 104
1.00 × 105 0.0170 3.31 × 104
2.00 × 105 0.0341 6.62 × 104
3.00 × 105 0.0511 9.93 × 104
4.00 × 105 0.0681 1.32 × 105
5.00 × 105 0.0852 1.66 × 105
6.00 × 105 0.102 1.99 × 105
7.00 × 105 0.119 2.32 × 105
8.00 × 105 0.136 2.65 × 105
8.97 × 105 0.153 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 4.34 × 10-5 30.3
40.0 5.26 × 10-5 36.8
50.0 6.57 × 10-5 46.0
60.0 7.88 × 10-5 55.2
70.0 9.20 × 10-5 64.4
80.0 1.05 × 10-4 73.6
90.0 1.18 × 10-4 82.8
100 1.31 × 10-4 91.9
200 2.63 × 10-4 184
300 3.94 × 10-4 276
400 5.26 × 10-4 368
500 6.57 × 10-4 460
600 7.88 × 10-4 552
700 9.20 × 10-4 644
800 0.00105 736
900 0.00118 828
1000 0.00131 919
2000 0.00263 1840
3000 0.00394 2760
4000 0.00526 3680
5000 0.00657 4600
6000 0.00788 5520
7000 0.00920 6440
8000 0.0105 7360
9000 0.0118 8280
1.00 × 104 0.0131 9190
2.00 × 104 0.0263 1.84 × 104
3.00 × 104 0.0394 2.76 × 104
4.00 × 104 0.0526 3.68 × 104
5.00 × 104 0.0657 4.60 × 104
6.00 × 104 0.0788 5.52 × 104
7.00 × 104 0.0920 6.44 × 104
8.00 × 104 0.105 7.36 × 104
9.00 × 104 0.118 8.28 × 104
1.00 × 105 0.131 9.19 × 104
2.00 × 105 0.263 1.84 × 105
3.00 × 105 0.394 2.76 × 105
3.23 × 105 0.425 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 6.94 × 10-4 121
40.0 8.41 × 10-4 147
50.0 0.00105 184
60.0 0.00126 221
70.0 0.00147 257
80.0 0.00168 294
90.0 0.00189 331
100 0.00210 368
200 0.00420 736
300 0.00631 1100
400 0.00841 1470
500 0.0105 1840
600 0.0126 2210
700 0.0147 2570
800 0.0168 2940
900 0.0189 3310
1000 0.0210 3680
2000 0.0420 7360
3000 0.0631 1.10 × 104
4000 0.0841 1.47 × 104
5000 0.105 1.84 × 104
6000 0.126 2.21 × 104
7000 0.147 2.57 × 104
8000 0.168 2.94 × 104
9000 0.189 3.31 × 104
1.00 × 104 0.210 3.68 × 104
2.00 × 104 0.420 7.36 × 104
3.00 × 104 0.631 1.10 × 105
4.00 × 104 0.841 1.47 × 105
5.00 × 104 1.05 1.84 × 105
6.00 × 104 1.26 2.21 × 105
7.00 × 104 1.47 2.57 × 105
8.00 × 104 1.68 2.94 × 105
8.08 × 104 1.70 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 0.00351 273
40.0 0.00426 331
50.0 0.00532 414
60.0 0.00639 497
70.0 0.00745 579
80.0 0.00852 662
90.0 0.00958 745
100 0.0106 828
200 0.0213 1660
300 0.0319 2480
400 0.0426 3310
500 0.0532 4140
600 0.0639 4970
700 0.0745 5790
800 0.0852 6620
900 0.0958 7450
1000 0.106 8280
2000 0.213 1.66 × 104
3000 0.319 2.48 × 104
4000 0.426 3.31 × 104
5000 0.532 4.14 × 104
6000 0.639 4.97 × 104
7000 0.745 5.79 × 104
8000 0.852 6.62 × 104
9000 0.958 7.45 × 104
1.00 × 104 1.06 8.28 × 104
2.00 × 104 2.13 1.66 × 105
3.00 × 104 3.19 2.48 × 105
3.59 × 104 3.82 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 0.0111 485
40.0 0.0135 588
50.0 0.0168 736
60.0 0.0202 883
70.0 0.0235 1030
80.0 0.0269 1180
90.0 0.0303 1320
100 0.0336 1470
200 0.0673 2940
300 0.101 4410
400 0.135 5880
500 0.168 7360
600 0.202 8830
700 0.235 1.03 × 104
800 0.269 1.18 × 104
900 0.303 1.32 × 104
1000 0.336 1.47 × 104
2000 0.673 2.94 × 104
3000 1.01 4.41 × 104
4000 1.35 5.88 × 104
5000 1.68 7.36 × 104
6000 2.02 8.83 × 104
7000 2.35 1.03 × 105
8000 2.69 1.18 × 105
9000 3.03 1.32 × 105
1.00 × 104 3.36 1.47 × 105
2.00 × 104 6.73 2.94 × 105
2.02 × 104 6.79 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 0.0271 759
40.0 0.0329 919
50.0 0.0411 1150
60.0 0.0493 1380
70.0 0.0575 1610
80.0 0.0657 1840
90.0 0.0739 2070
100 0.0821 2300
200 0.164 4600
300 0.246 6900
400 0.329 9190
500 0.411 1.15 × 104
600 0.493 1.38 × 104
700 0.575 1.61 × 104
800 0.657 1.84 × 104
900 0.739 2.07 × 104
1000 0.821 2.30 × 104
2000 1.64 4.60 × 104
3000 2.46 6.90 × 104
4000 3.29 9.19 × 104
5000 4.11 1.15 × 105
6000 4.93 1.38 × 105
7000 5.75 1.61 × 105
8000 6.57 1.84 × 105
9000 7.39 2.07 × 105
1.00 × 104 8.21 2.30 × 105
1.29 × 104 10.6 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 0.0562 1090
40.0 0.0681 1320
50.0 0.0852 1660
60.0 0.102 1990
70.0 0.119 2320
80.0 0.136 2650
90.0 0.153 2980
100 0.170 3310
200 0.341 6620
300 0.511 9930
400 0.681 1.32 × 104
500 0.852 1.66 × 104
600 1.02 1.99 × 104
700 1.19 2.32 × 104
800 1.36 2.65 × 104
900 1.53 2.98 × 104
1000 1.70 3.31 × 104
2000 3.41 6.62 × 104
3000 5.11 9.93 × 104
4000 6.81 1.32 × 105
5000 8.52 1.66 × 105
5710 9.73 1.89 × 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 0.178 1940
40.0 0.215 2350
50.0 0.269 2940
60.0 0.323 3530
70.0 0.377 4120
80.0 0.431 4710
90.0 0.484 5300
100 0.538 5880
200 1.08 1.18 × 104
300 1.61 1.77 × 104
400 2.15 2.35 × 104
500 2.69 2.94 × 104
600 3.23 3.53 × 104
700 3.77 4.12 × 104
800 4.31 4.71 × 104
900 4.84 5.30 × 104
1000 5.38 5.88 × 104
1810 9.73 1.06 × 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 0.434 3030
40.0 0.526 3680
50.0 0.657 4600
60.0 0.788 5520
70.0 0.920 6440
80.0 1.05 7360
90.0 1.18 8280
100 1.31 9190
200 2.63 1.84 × 104
300 3.94 2.76 × 104
400 5.26 3.68 × 104
500 6.57 4.60 × 104
600 7.88 5.52 × 104
700 9.20 6.44 × 104
740 9.73 6.81 × 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 0.899 4370
40.0 1.09 5300
50.0 1.36 6620
60.0 1.63 7940
70.0 1.91 9270
80.0 2.18 1.06 × 104
90.0 2.45 1.19 × 104
100 2.72 1.32 × 104
200 5.45 2.65 × 104
300 8.17 3.97 × 104
357 9.73 4.73 × 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 1.67 5950
40.0 2.02 7210
50.0 2.52 9010
60.0 3.03 1.08 × 104
70.0 3.53 1.26 × 104
80.0 4.04 1.44 × 104
90.0 4.54 1.62 × 104
100 5.05 1.80 × 104
193 9.73 3.47 × 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 2.84 7770
40.0 3.44 9420
50.0 4.31 1.18 × 104
60.0 5.17 1.41 × 104
70.0 6.03 1.65 × 104
80.0 6.89 1.88 × 104
90.0 7.75 2.12 × 104
100 8.61 2.35 × 104
113 9.73 2.66 × 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 4.55 9830
40.0 5.52 1.19 × 104
50.0 6.90 1.49 × 104
60.0 8.28 1.79 × 104
70.0 9.66 2.09 × 104
70.5 9.73 2.10 × 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 6.94 1.21 × 104
40.0 8.41 1.47 × 104
46.3 9.73 1.70 × 104
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