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Wide Flange Steel I Beam: W10 × 33
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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 6.07 × 10-6 10.2
40.0 7.35 × 10-6 12.4
50.0 9.19 × 10-6 15.5
60.0 1.10 × 10-5 18.5
70.0 1.29 × 10-5 21.6
80.0 1.47 × 10-5 24.7
90.0 1.65 × 10-5 27.8
100 1.84 × 10-5 30.9
200 3.68 × 10-5 61.8
300 5.51 × 10-5 92.7
400 7.35 × 10-5 124
500 9.19 × 10-5 155
600 1.10 × 10-4 185
700 1.29 × 10-4 216
800 1.47 × 10-4 247
900 1.65 × 10-4 278
1000 1.84 × 10-4 309
2000 3.68 × 10-4 618
3000 5.51 × 10-4 927
4000 7.35 × 10-4 1240
5000 9.19 × 10-4 1550
6000 0.00110 1850
7000 0.00129 2160
8000 0.00147 2470
9000 0.00165 2780
1.00 × 104 0.00184 3090
2.00 × 104 0.00368 6180
3.00 × 104 0.00551 9270
4.00 × 104 0.00735 1.24 × 104
5.00 × 104 0.00919 1.55 × 104
6.00 × 104 0.0110 1.85 × 104
7.00 × 104 0.0129 2.16 × 104
8.00 × 104 0.0147 2.47 × 104
9.00 × 104 0.0165 2.78 × 104
1.00 × 105 0.0184 3.09 × 104
2.00 × 105 0.0368 6.18 × 104
3.00 × 105 0.0551 9.27 × 104
4.00 × 105 0.0735 1.24 × 105
5.00 × 105 0.0919 1.55 × 105
6.00 × 105 0.110 1.85 × 105
7.00 × 105 0.129 2.16 × 105
8.00 × 105 0.147 2.47 × 105
9.00 × 105 0.165 2.78 × 105
9.61 × 105 0.177 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 4.68 × 10-5 28.3
40.0 5.67 × 10-5 34.3
50.0 7.09 × 10-5 42.9
60.0 8.51 × 10-5 51.5
70.0 9.93 × 10-5 60.1
80.0 1.13 × 10-4 68.7
90.0 1.28 × 10-4 77.3
100 1.42 × 10-4 85.9
200 2.84 × 10-4 172
300 4.26 × 10-4 258
400 5.67 × 10-4 343
500 7.09 × 10-4 429
600 8.51 × 10-4 515
700 9.93 × 10-4 601
800 0.00113 687
900 0.00128 773
1000 0.00142 859
2000 0.00284 1720
3000 0.00426 2580
4000 0.00567 3430
5000 0.00709 4290
6000 0.00851 5150
7000 0.00993 6010
8000 0.0113 6870
9000 0.0128 7730
1.00 × 104 0.0142 8590
2.00 × 104 0.0284 1.72 × 104
3.00 × 104 0.0426 2.58 × 104
4.00 × 104 0.0567 3.43 × 104
5.00 × 104 0.0709 4.29 × 104
6.00 × 104 0.0851 5.15 × 104
7.00 × 104 0.0993 6.01 × 104
8.00 × 104 0.113 6.87 × 104
9.00 × 104 0.128 7.73 × 104
1.00 × 105 0.142 8.59 × 104
2.00 × 105 0.284 1.72 × 105
3.00 × 105 0.426 2.58 × 105
3.46 × 105 0.491 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 7.49 × 10-4 113
40.0 9.08 × 10-4 137
50.0 0.00113 172
60.0 0.00136 206
70.0 0.00159 240
80.0 0.00182 275
90.0 0.00204 309
100 0.00227 343
200 0.00454 687
300 0.00681 1030
400 0.00908 1370
500 0.0113 1720
600 0.0136 2060
700 0.0159 2400
800 0.0182 2750
900 0.0204 3090
1000 0.0227 3430
2000 0.0454 6870
3000 0.0681 1.03 × 104
4000 0.0908 1.37 × 104
5000 0.113 1.72 × 104
6000 0.136 2.06 × 104
7000 0.159 2.40 × 104
8000 0.182 2.75 × 104
9000 0.204 3.09 × 104
1.00 × 104 0.227 3.43 × 104
2.00 × 104 0.454 6.87 × 104
3.00 × 104 0.681 1.03 × 105
4.00 × 104 0.908 1.37 × 105
5.00 × 104 1.13 1.72 × 105
6.00 × 104 1.36 2.06 × 105
7.00 × 104 1.59 2.40 × 105
8.00 × 104 1.82 2.75 × 105
8.65 × 104 1.96 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 0.00379 255
40.0 0.00460 309
50.0 0.00574 386
60.0 0.00689 464
70.0 0.00804 541
80.0 0.00919 618
90.0 0.0103 695
100 0.0115 773
200 0.0230 1550
300 0.0345 2320
400 0.0460 3090
500 0.0574 3860
600 0.0689 4640
700 0.0804 5410
800 0.0919 6180
900 0.103 6950
1000 0.115 7730
2000 0.230 1.55 × 104
3000 0.345 2.32 × 104
4000 0.460 3.09 × 104
5000 0.574 3.86 × 104
6000 0.689 4.64 × 104
7000 0.804 5.41 × 104
8000 0.919 6.18 × 104
9000 1.03 6.95 × 104
1.00 × 104 1.15 7.73 × 104
2.00 × 104 2.30 1.55 × 105
3.00 × 104 3.45 2.32 × 105
3.84 × 104 4.42 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 0.0120 453
40.0 0.0145 549
50.0 0.0182 687
60.0 0.0218 824
70.0 0.0254 962
80.0 0.0290 1100
90.0 0.0327 1240
100 0.0363 1370
200 0.0726 2750
300 0.109 4120
400 0.145 5490
500 0.182 6870
600 0.218 8240
700 0.254 9620
800 0.290 1.10 × 104
900 0.327 1.24 × 104
1000 0.363 1.37 × 104
2000 0.726 2.75 × 104
3000 1.09 4.12 × 104
4000 1.45 5.49 × 104
5000 1.82 6.87 × 104
6000 2.18 8.24 × 104
7000 2.54 9.62 × 104
8000 2.90 1.10 × 105
9000 3.27 1.24 × 105
1.00 × 104 3.63 1.37 × 105
2.00 × 104 7.26 2.75 × 105
2.16 × 104 7.85 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 0.0293 708
40.0 0.0355 859
50.0 0.0443 1070
60.0 0.0532 1290
70.0 0.0621 1500
80.0 0.0709 1720
90.0 0.0798 1930
100 0.0886 2150
200 0.177 4290
300 0.266 6440
400 0.355 8590
500 0.443 1.07 × 104
600 0.532 1.29 × 104
700 0.621 1.50 × 104
800 0.709 1.72 × 104
900 0.798 1.93 × 104
1000 0.886 2.15 × 104
2000 1.77 4.29 × 104
3000 2.66 6.44 × 104
4000 3.55 8.59 × 104
5000 4.43 1.07 × 105
6000 5.32 1.29 × 105
7000 6.21 1.50 × 105
8000 7.09 1.72 × 105
9000 7.98 1.93 × 105
1.00 × 104 8.86 2.15 × 105
1.38 × 104 12.3 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 0.0607 1020
40.0 0.0735 1240
50.0 0.0919 1550
60.0 0.110 1850
70.0 0.129 2160
80.0 0.147 2470
90.0 0.165 2780
100 0.184 3090
200 0.368 6180
300 0.551 9270
400 0.735 1.24 × 104
500 0.919 1.55 × 104
600 1.10 1.85 × 104
700 1.29 2.16 × 104
800 1.47 2.47 × 104
900 1.65 2.78 × 104
1000 1.84 3.09 × 104
2000 3.68 6.18 × 104
3000 5.51 9.27 × 104
4000 7.35 1.24 × 105
5000 9.19 1.55 × 105
5290 9.73 1.64 × 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 0.192 1810
40.0 0.232 2200
50.0 0.290 2750
60.0 0.349 3300
70.0 0.407 3850
80.0 0.465 4400
90.0 0.523 4950
100 0.581 5490
200 1.16 1.10 × 104
300 1.74 1.65 × 104
400 2.32 2.20 × 104
500 2.90 2.75 × 104
600 3.49 3.30 × 104
700 4.07 3.85 × 104
800 4.65 4.40 × 104
900 5.23 4.95 × 104
1000 5.81 5.49 × 104
1670 9.73 9.20 × 104
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 0.468 2830
40.0 0.567 3430
50.0 0.709 4290
60.0 0.851 5150
70.0 0.993 6010
80.0 1.13 6870
90.0 1.28 7730
100 1.42 8590
200 2.84 1.72 × 104
300 4.26 2.58 × 104
400 5.67 3.43 × 104
500 7.09 4.29 × 104
600 8.51 5.15 × 104
686 9.73 5.89 × 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 0.971 4080
40.0 1.18 4950
50.0 1.47 6180
60.0 1.76 7420
70.0 2.06 8650
80.0 2.35 9890
90.0 2.65 1.11 × 104
100 2.94 1.24 × 104
200 5.88 2.47 × 104
300 8.82 3.71 × 104
331 9.73 4.09 × 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 1.80 5550
40.0 2.18 6730
50.0 2.72 8410
60.0 3.27 1.01 × 104
70.0 3.81 1.18 × 104
80.0 4.36 1.35 × 104
90.0 4.90 1.51 × 104
100 5.45 1.68 × 104
179 9.73 3.00 × 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 3.07 7250
40.0 3.72 8790
50.0 4.65 1.10 × 104
60.0 5.58 1.32 × 104
70.0 6.51 1.54 × 104
80.0 7.44 1.76 × 104
90.0 8.37 1.98 × 104
100 9.30 2.20 × 104
105 9.73 2.30 × 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 4.91 9180
40.0 5.96 1.11 × 104
50.0 7.44 1.39 × 104
60.0 8.93 1.67 × 104
65.3 9.73 1.82 × 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 7.49 1.13 × 104
40.0 9.08 1.37 × 104
42.9 9.73 1.47 × 104
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