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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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 5.67 × 10-6 9.90
50.0 6.30 × 10-6 11.0
60.0 7.56 × 10-6 13.2
70.0 8.82 × 10-6 15.4
80.0 1.01 × 10-5 17.6
90.0 1.13 × 10-5 19.8
100 1.26 × 10-5 22.0
200 2.52 × 10-5 44.0
300 3.78 × 10-5 66.0
400 5.04 × 10-5 88.0
500 6.30 × 10-5 110
600 7.56 × 10-5 132
700 8.82 × 10-5 154
800 1.01 × 10-4 176
900 1.13 × 10-4 198
1000 1.26 × 10-4 220
2000 2.52 × 10-4 440
3000 3.78 × 10-4 660
4000 5.04 × 10-4 880
5000 6.30 × 10-4 1100
6000 7.56 × 10-4 1320
7000 8.82 × 10-4 1540
8000 0.00101 1760
9000 0.00113 1980
1.00 × 104 0.00126 2200
2.00 × 104 0.00252 4400
3.00 × 104 0.00378 6600
4.00 × 104 0.00504 8800
5.00 × 104 0.00630 1.10 × 104
6.00 × 104 0.00756 1.32 × 104
7.00 × 104 0.00882 1.54 × 104
8.00 × 104 0.0101 1.76 × 104
9.00 × 104 0.0113 1.98 × 104
1.00 × 105 0.0126 2.20 × 104
2.00 × 105 0.0252 4.40 × 104
3.00 × 105 0.0378 6.60 × 104
4.00 × 105 0.0504 8.80 × 104
5.00 × 105 0.0630 1.10 × 105
6.00 × 105 0.0756 1.32 × 105
7.00 × 105 0.0882 1.54 × 105
8.00 × 105 0.101 1.76 × 105
9.00 × 105 0.113 1.98 × 105
1.00 × 106 0.126 2.20 × 105
1.35 × 106 0.170 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 4.38 × 10-5 27.5
50.0 4.86 × 10-5 30.5
60.0 5.83 × 10-5 36.7
70.0 6.81 × 10-5 42.8
80.0 7.78 × 10-5 48.9
90.0 8.75 × 10-5 55.0
100 9.72 × 10-5 61.1
200 1.94 × 10-4 122
300 2.92 × 10-4 183
400 3.89 × 10-4 244
500 4.86 × 10-4 305
600 5.83 × 10-4 367
700 6.81 × 10-4 428
800 7.78 × 10-4 489
900 8.75 × 10-4 550
1000 9.72 × 10-4 611
2000 0.00194 1220
3000 0.00292 1830
4000 0.00389 2440
5000 0.00486 3050
6000 0.00583 3670
7000 0.00681 4280
8000 0.00778 4890
9000 0.00875 5500
1.00 × 104 0.00972 6110
2.00 × 104 0.0194 1.22 × 104
3.00 × 104 0.0292 1.83 × 104
4.00 × 104 0.0389 2.44 × 104
5.00 × 104 0.0486 3.05 × 104
6.00 × 104 0.0583 3.67 × 104
7.00 × 104 0.0681 4.28 × 104
8.00 × 104 0.0778 4.89 × 104
9.00 × 104 0.0875 5.50 × 104
1.00 × 105 0.0972 6.11 × 104
2.00 × 105 0.194 1.22 × 105
3.00 × 105 0.292 1.83 × 105
4.00 × 105 0.389 2.44 × 105
4.86 × 105 0.473 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 7.00 × 10-4 110
50.0 7.78 × 10-4 122
60.0 9.33 × 10-4 147
70.0 0.00109 171
80.0 0.00124 195
90.0 0.00140 220
100 0.00156 244
200 0.00311 489
300 0.00467 733
400 0.00622 977
500 0.00778 1220
600 0.00933 1470
700 0.0109 1710
800 0.0124 1950
900 0.0140 2200
1000 0.0156 2440
2000 0.0311 4890
3000 0.0467 7330
4000 0.0622 9770
5000 0.0778 1.22 × 104
6000 0.0933 1.47 × 104
7000 0.109 1.71 × 104
8000 0.124 1.95 × 104
9000 0.140 2.20 × 104
1.00 × 104 0.156 2.44 × 104
2.00 × 104 0.311 4.89 × 104
3.00 × 104 0.467 7.33 × 104
4.00 × 104 0.622 9.77 × 104
5.00 × 104 0.778 1.22 × 105
6.00 × 104 0.933 1.47 × 105
7.00 × 104 1.09 1.71 × 105
8.00 × 104 1.24 1.95 × 105
9.00 × 104 1.40 2.20 × 105
1.00 × 105 1.56 2.44 × 105
1.22 × 105 1.89 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 0.00354 247
50.0 0.00394 275
60.0 0.00473 330
70.0 0.00551 385
80.0 0.00630 440
90.0 0.00709 495
100 0.00788 550
200 0.0158 1100
300 0.0236 1650
400 0.0315 2200
500 0.0394 2750
600 0.0473 3300
700 0.0551 3850
800 0.0630 4400
900 0.0709 4950
1000 0.0788 5500
2000 0.158 1.10 × 104
3000 0.236 1.65 × 104
4000 0.315 2.20 × 104
5000 0.394 2.75 × 104
6000 0.473 3.30 × 104
7000 0.551 3.85 × 104
8000 0.630 4.40 × 104
9000 0.709 4.95 × 104
1.00 × 104 0.788 5.50 × 104
2.00 × 104 1.58 1.10 × 105
3.00 × 104 2.36 1.65 × 105
4.00 × 104 3.15 2.20 × 105
5.00 × 104 3.94 2.75 × 105
5.40 × 104 4.25 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 0.0112 440
50.0 0.0124 489
60.0 0.0149 586
70.0 0.0174 684
80.0 0.0199 782
90.0 0.0224 880
100 0.0249 977
200 0.0498 1950
300 0.0747 2930
400 0.0996 3910
500 0.124 4890
600 0.149 5860
700 0.174 6840
800 0.199 7820
900 0.224 8800
1000 0.249 9770
2000 0.498 1.95 × 104
3000 0.747 2.93 × 104
4000 0.996 3.91 × 104
5000 1.24 4.89 × 104
6000 1.49 5.86 × 104
7000 1.74 6.84 × 104
8000 1.99 7.82 × 104
9000 2.24 8.80 × 104
1.00 × 104 2.49 9.77 × 104
2.00 × 104 4.98 1.95 × 105
3.00 × 104 7.47 2.93 × 105
3.04 × 104 7.56 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 0.0273 687
50.0 0.0304 764
60.0 0.0365 916
70.0 0.0425 1070
80.0 0.0486 1220
90.0 0.0547 1370
100 0.0608 1530
200 0.122 3050
300 0.182 4580
400 0.243 6110
500 0.304 7640
600 0.365 9160
700 0.425 1.07 × 104
800 0.486 1.22 × 104
900 0.547 1.37 × 104
1000 0.608 1.53 × 104
2000 1.22 3.05 × 104
3000 1.82 4.58 × 104
4000 2.43 6.11 × 104
5000 3.04 7.64 × 104
6000 3.65 9.16 × 104
7000 4.25 1.07 × 105
8000 4.86 1.22 × 105
9000 5.47 1.37 × 105
1.00 × 104 6.08 1.53 × 105
1.94 × 104 11.8 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 0.0567 990
50.0 0.0630 1100
60.0 0.0756 1320
70.0 0.0882 1540
80.0 0.101 1760
90.0 0.113 1980
100 0.126 2200
200 0.252 4400
300 0.378 6600
400 0.504 8800
500 0.630 1.10 × 104
600 0.756 1.32 × 104
700 0.882 1.54 × 104
800 1.01 1.76 × 104
900 1.13 1.98 × 104
1000 1.26 2.20 × 104
2000 2.52 4.40 × 104
3000 3.78 6.60 × 104
4000 5.04 8.80 × 104
5000 6.30 1.10 × 105
6000 7.56 1.32 × 105
7000 8.82 1.54 × 105
8000 10.1 1.76 × 105
8020 10.1 1.76 × 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 0.179 1760
50.0 0.199 1950
60.0 0.239 2350
70.0 0.279 2740
80.0 0.319 3130
90.0 0.358 3520
100 0.398 3910
200 0.796 7820
300 1.19 1.17 × 104
400 1.59 1.56 × 104
500 1.99 1.95 × 104
600 2.39 2.35 × 104
700 2.79 2.74 × 104
800 3.19 3.13 × 104
900 3.58 3.52 × 104
1000 3.98 3.91 × 104
2000 7.96 7.82 × 104
2540 10.1 9.92 × 104
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 0.438 2750
50.0 0.486 3050
60.0 0.583 3670
70.0 0.681 4280
80.0 0.778 4890
90.0 0.875 5500
100 0.972 6110
200 1.94 1.22 × 104
300 2.92 1.83 × 104
400 3.89 2.44 × 104
500 4.86 3.05 × 104
600 5.83 3.67 × 104
700 6.81 4.28 × 104
800 7.78 4.89 × 104
900 8.75 5.50 × 104
1000 9.72 6.11 × 104
1040 10.1 6.35 × 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 0.907 3960
50.0 1.01 4400
60.0 1.21 5280
70.0 1.41 6160
80.0 1.61 7040
90.0 1.81 7920
100 2.02 8800
200 4.03 1.76 × 104
300 6.05 2.64 × 104
400 8.06 3.52 × 104
500 10.1 4.40 × 104
501 10.1 4.41 × 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 1.68 5390
50.0 1.87 5990
60.0 2.24 7180
70.0 2.61 8380
80.0 2.99 9580
90.0 3.36 1.08 × 104
100 3.74 1.20 × 104
200 7.47 2.39 × 104
270 10.1 3.24 × 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 2.87 7040
50.0 3.19 7820
60.0 3.82 9380
70.0 4.46 1.09 × 104
80.0 5.10 1.25 × 104
90.0 5.73 1.41 × 104
100 6.37 1.56 × 104
159 10.1 2.48 × 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 4.59 8910
50.0 5.10 9900
60.0 6.12 1.19 × 104
70.0 7.14 1.39 × 104
80.0 8.17 1.58 × 104
90.0 9.19 1.78 × 104
99.0 10.1 1.96 × 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 7.00 1.10 × 104
50.0 7.78 1.22 × 104
60.0 9.33 1.47 × 104
64.9 10.1 1.59 × 104
Additional Information
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FREE Publications
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.

Salary Expectation

8 things to know about the interview question "What's your salary expectation"?

more publications