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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W10 × 45
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 = 248 in4) for the W10 × 45 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 × 45 (Wide Flange 10 inch tall × 45 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 5.25 × 10-6 10.6
50.0 5.84 × 10-6 11.8
60.0 7.00 × 10-6 14.1
70.0 8.17 × 10-6 16.5
80.0 9.34 × 10-6 18.8
90.0 1.05 × 10-5 21.2
100 1.17 × 10-5 23.6
200 2.33 × 10-5 47.1
300 3.50 × 10-5 70.7
400 4.67 × 10-5 94.2
500 5.84 × 10-5 118
600 7.00 × 10-5 141
700 8.17 × 10-5 165
800 9.34 × 10-5 188
900 1.05 × 10-4 212
1000 1.17 × 10-4 236
2000 2.33 × 10-4 471
3000 3.50 × 10-4 707
4000 4.67 × 10-4 942
5000 5.84 × 10-4 1180
6000 7.00 × 10-4 1410
7000 8.17 × 10-4 1650
8000 9.34 × 10-4 1880
9000 0.00105 2120
1.00 × 104 0.00117 2360
2.00 × 104 0.00233 4710
3.00 × 104 0.00350 7070
4.00 × 104 0.00467 9420
5.00 × 104 0.00584 1.18 × 104
6.00 × 104 0.00700 1.41 × 104
7.00 × 104 0.00817 1.65 × 104
8.00 × 104 0.00934 1.88 × 104
9.00 × 104 0.0105 2.12 × 104
1.00 × 105 0.0117 2.36 × 104
2.00 × 105 0.0233 4.71 × 104
3.00 × 105 0.0350 7.07 × 104
4.00 × 105 0.0467 9.42 × 104
5.00 × 105 0.0584 1.18 × 105
6.00 × 105 0.0700 1.41 × 105
7.00 × 105 0.0817 1.65 × 105
8.00 × 105 0.0934 1.88 × 105
9.00 × 105 0.105 2.12 × 105
1.00 × 106 0.117 2.36 × 105
1.26 × 106 0.147 2.97 × 105
Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 4.05 × 10-5 29.4
50.0 4.50 × 10-5 32.7
60.0 5.40 × 10-5 39.3
70.0 6.31 × 10-5 45.8
80.0 7.21 × 10-5 52.3
90.0 8.11 × 10-5 58.9
100 9.01 × 10-5 65.4
200 1.80 × 10-4 131
300 2.70 × 10-4 196
400 3.60 × 10-4 262
500 4.50 × 10-4 327
600 5.40 × 10-4 393
700 6.31 × 10-4 458
800 7.21 × 10-4 523
900 8.11 × 10-4 589
1000 9.01 × 10-4 654
2000 0.00180 1310
3000 0.00270 1960
4000 0.00360 2620
5000 0.00450 3270
6000 0.00540 3930
7000 0.00631 4580
8000 0.00721 5230
9000 0.00811 5890
1.00 × 104 0.00901 6540
2.00 × 104 0.0180 1.31 × 104
3.00 × 104 0.0270 1.96 × 104
4.00 × 104 0.0360 2.62 × 104
5.00 × 104 0.0450 3.27 × 104
6.00 × 104 0.0540 3.93 × 104
7.00 × 104 0.0631 4.58 × 104
8.00 × 104 0.0721 5.23 × 104
9.00 × 104 0.0811 5.89 × 104
1.00 × 105 0.0901 6.54 × 104
2.00 × 105 0.180 1.31 × 105
3.00 × 105 0.270 1.96 × 105
4.00 × 105 0.360 2.62 × 105
4.54 × 105 0.409 2.97 × 105
Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 6.49 × 10-4 118
50.0 7.21 × 10-4 131
60.0 8.65 × 10-4 157
70.0 0.00101 183
80.0 0.00115 209
90.0 0.00130 236
100 0.00144 262
200 0.00288 523
300 0.00432 785
400 0.00576 1050
500 0.00721 1310
600 0.00865 1570
700 0.0101 1830
800 0.0115 2090
900 0.0130 2360
1000 0.0144 2620
2000 0.0288 5230
3000 0.0432 7850
4000 0.0576 1.05 × 104
5000 0.0721 1.31 × 104
6000 0.0865 1.57 × 104
7000 0.101 1.83 × 104
8000 0.115 2.09 × 104
9000 0.130 2.36 × 104
1.00 × 104 0.144 2.62 × 104
2.00 × 104 0.288 5.23 × 104
3.00 × 104 0.432 7.85 × 104
4.00 × 104 0.576 1.05 × 105
5.00 × 104 0.721 1.31 × 105
6.00 × 104 0.865 1.57 × 105
7.00 × 104 1.01 1.83 × 105
8.00 × 104 1.15 2.09 × 105
9.00 × 104 1.30 2.36 × 105
1.00 × 105 1.44 2.62 × 105
1.14 × 105 1.64 2.97 × 105
Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.00328 265
50.0 0.00365 294
60.0 0.00438 353
70.0 0.00511 412
80.0 0.00584 471
90.0 0.00657 530
100 0.00730 589
200 0.0146 1180
300 0.0219 1770
400 0.0292 2360
500 0.0365 2940
600 0.0438 3530
700 0.0511 4120
800 0.0584 4710
900 0.0657 5300
1000 0.0730 5890
2000 0.146 1.18 × 104
3000 0.219 1.77 × 104
4000 0.292 2.36 × 104
5000 0.365 2.94 × 104
6000 0.438 3.53 × 104
7000 0.511 4.12 × 104
8000 0.584 4.71 × 104
9000 0.657 5.30 × 104
1.00 × 104 0.730 5.89 × 104
2.00 × 104 1.46 1.18 × 105
3.00 × 104 2.19 1.77 × 105
4.00 × 104 2.92 2.36 × 105
5.00 × 104 3.65 2.94 × 105
5.04 × 104 3.68 2.97 × 105
Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.0104 471
50.0 0.0115 523
60.0 0.0138 628
70.0 0.0161 733
80.0 0.0184 837
90.0 0.0208 942
100 0.0231 1050
200 0.0461 2090
300 0.0692 3140
400 0.0922 4190
500 0.115 5230
600 0.138 6280
700 0.161 7330
800 0.184 8370
900 0.208 9420
1000 0.231 1.05 × 104
2000 0.461 2.09 × 104
3000 0.692 3.14 × 104
4000 0.922 4.19 × 104
5000 1.15 5.23 × 104
6000 1.38 6.28 × 104
7000 1.61 7.33 × 104
8000 1.84 8.37 × 104
9000 2.08 9.42 × 104
1.00 × 104 2.31 1.05 × 105
2.00 × 104 4.61 2.09 × 105
2.84 × 104 6.54 2.97 × 105
Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.0253 736
50.0 0.0281 818
60.0 0.0338 981
70.0 0.0394 1140
80.0 0.0450 1310
90.0 0.0507 1470
100 0.0563 1640
200 0.113 3270
300 0.169 4910
400 0.225 6540
500 0.281 8180
600 0.338 9810
700 0.394 1.14 × 104
800 0.450 1.31 × 104
900 0.507 1.47 × 104
1000 0.563 1.64 × 104
2000 1.13 3.27 × 104
3000 1.69 4.91 × 104
4000 2.25 6.54 × 104
5000 2.81 8.18 × 104
6000 3.38 9.81 × 104
7000 3.94 1.14 × 105
8000 4.50 1.31 × 105
9000 5.07 1.47 × 105
1.00 × 104 5.63 1.64 × 105
1.82 × 104 10.2 2.97 × 105
Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.0525 1060
50.0 0.0584 1180
60.0 0.0700 1410
70.0 0.0817 1650
80.0 0.0934 1880
90.0 0.105 2120
100 0.117 2360
200 0.233 4710
300 0.350 7070
400 0.467 9420
500 0.584 1.18 × 104
600 0.700 1.41 × 104
700 0.817 1.65 × 104
800 0.934 1.88 × 104
900 1.05 2.12 × 104
1000 1.17 2.36 × 104
2000 2.33 4.71 × 104
3000 3.50 7.07 × 104
4000 4.67 9.42 × 104
5000 5.84 1.18 × 105
6000 7.00 1.41 × 105
7000 8.17 1.65 × 105
8000 9.34 1.88 × 105
8650 10.1 2.04 × 105
Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.166 1880
50.0 0.184 2090
60.0 0.221 2510
70.0 0.258 2930
80.0 0.295 3350
90.0 0.332 3770
100 0.369 4190
200 0.738 8370
300 1.11 1.26 × 104
400 1.48 1.67 × 104
500 1.84 2.09 × 104
600 2.21 2.51 × 104
700 2.58 2.93 × 104
800 2.95 3.35 × 104
900 3.32 3.77 × 104
1000 3.69 4.19 × 104
2000 7.38 8.37 × 104
2740 10.1 1.15 × 105
Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.405 2940
50.0 0.450 3270
60.0 0.540 3930
70.0 0.631 4580
80.0 0.721 5230
90.0 0.811 5890
100 0.901 6540
200 1.80 1.31 × 104
300 2.70 1.96 × 104
400 3.60 2.62 × 104
500 4.50 3.27 × 104
600 5.40 3.93 × 104
700 6.31 4.58 × 104
800 7.21 5.23 × 104
900 8.11 5.89 × 104
1000 9.01 6.54 × 104
1120 10.1 7.34 × 104
Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 0.841 4240
50.0 0.934 4710
60.0 1.12 5650
70.0 1.31 6590
80.0 1.49 7540
90.0 1.68 8480
100 1.87 9420
200 3.74 1.88 × 104
300 5.60 2.83 × 104
400 7.47 3.77 × 104
500 9.34 4.71 × 104
541 10.1 5.09 × 104
Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 1.56 5770
50.0 1.73 6410
60.0 2.08 7690
70.0 2.42 8980
80.0 2.77 1.03 × 104
90.0 3.11 1.15 × 104
100 3.46 1.28 × 104
200 6.92 2.56 × 104
292 10.1 3.74 × 104
Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 2.66 7540
50.0 2.95 8370
60.0 3.54 1.00 × 104
70.0 4.13 1.17 × 104
80.0 4.72 1.34 × 104
90.0 5.31 1.51 × 104
100 5.90 1.67 × 104
171 10.1 2.87 × 104
Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 4.26 9540
50.0 4.73 1.06 × 104
60.0 5.67 1.27 × 104
70.0 6.62 1.48 × 104
80.0 7.56 1.70 × 104
90.0 8.51 1.91 × 104
100 9.46 2.12 × 104
107 10.1 2.26 × 104
Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
45.0 6.49 1.18 × 104
50.0 7.21 1.31 × 104
60.0 8.65 1.57 × 104
70.0 10.1 1.83 × 104
70.1 10.1 1.83 × 104
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STEM Career Outlook

Wages, employment opportunities, and growth projections for STEM jobs.

Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

Injection Molding Design Guide

Guide for high quality and cost-effective plastic injection molding.

Essentials of Manufacturing

Information, coverage of important developments and expert commentary in manufacturing.

more publications