engineering fundamentals
Wide Flange Steel I Beam: W10 × 39
Home | Directory | Career | News | Industrial




Materials

Design

Processes

Units

Formulas

Math
Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W10 × 39
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 = 209 in4) for the W10 × 39 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 × 39 (Wide Flange 10 inch tall × 39 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
39.0 5.83 × 10-6 10.0
40.0 5.98 × 10-6 10.3
50.0 7.48 × 10-6 12.8
60.0 8.97 × 10-6 15.4
70.0 1.05 × 10-5 17.9
80.0 1.20 × 10-5 20.5
90.0 1.35 × 10-5 23.1
100 1.50 × 10-5 25.6
200 2.99 × 10-5 51.3
300 4.49 × 10-5 76.9
400 5.98 × 10-5 103
500 7.48 × 10-5 128
600 8.97 × 10-5 154
700 1.05 × 10-4 179
800 1.20 × 10-4 205
900 1.35 × 10-4 231
1000 1.50 × 10-4 256
2000 2.99 × 10-4 513
3000 4.49 × 10-4 769
4000 5.98 × 10-4 1030
5000 7.48 × 10-4 1280
6000 8.97 × 10-4 1540
7000 0.00105 1790
8000 0.00120 2050
9000 0.00135 2310
1.00 × 104 0.00150 2560
2.00 × 104 0.00299 5130
3.00 × 104 0.00449 7690
4.00 × 104 0.00598 1.03 × 104
5.00 × 104 0.00748 1.28 × 104
6.00 × 104 0.00897 1.54 × 104
7.00 × 104 0.0105 1.79 × 104
8.00 × 104 0.0120 2.05 × 104
9.00 × 104 0.0135 2.31 × 104
1.00 × 105 0.0150 2.56 × 104
2.00 × 105 0.0299 5.13 × 104
3.00 × 105 0.0449 7.69 × 104
4.00 × 105 0.0598 1.03 × 105
5.00 × 105 0.0748 1.28 × 105
6.00 × 105 0.0897 1.54 × 105
7.00 × 105 0.105 1.79 × 105
8.00 × 105 0.120 2.05 × 105
9.00 × 105 0.135 2.31 × 105
1.00 × 106 0.150 2.56 × 105
1.16 × 106 0.173 2.97 × 105
Steel I Beam: W10 × 39 (Wide Flange 10 inch tall × 39 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
39.0 4.50 × 10-5 27.8
40.0 4.61 × 10-5 28.5
50.0 5.77 × 10-5 35.6
60.0 6.92 × 10-5 42.7
70.0 8.08 × 10-5 49.8
80.0 9.23 × 10-5 57.0
90.0 1.04 × 10-4 64.1
100 1.15 × 10-4 71.2
200 2.31 × 10-4 142
300 3.46 × 10-4 214
400 4.61 × 10-4 285
500 5.77 × 10-4 356
600 6.92 × 10-4 427
700 8.08 × 10-4 498
800 9.23 × 10-4 570
900 0.00104 641
1000 0.00115 712
2000 0.00231 1420
3000 0.00346 2140
4000 0.00461 2850
5000 0.00577 3560
6000 0.00692 4270
7000 0.00808 4980
8000 0.00923 5700
9000 0.0104 6410
1.00 × 104 0.0115 7120
2.00 × 104 0.0231 1.42 × 104
3.00 × 104 0.0346 2.14 × 104
4.00 × 104 0.0461 2.85 × 104
5.00 × 104 0.0577 3.56 × 104
6.00 × 104 0.0692 4.27 × 104
7.00 × 104 0.0808 4.98 × 104
8.00 × 104 0.0923 5.70 × 104
9.00 × 104 0.104 6.41 × 104
1.00 × 105 0.115 7.12 × 104
2.00 × 105 0.231 1.42 × 105
3.00 × 105 0.346 2.14 × 105
4.00 × 105 0.461 2.85 × 105
4.17 × 105 0.481 2.97 × 105
Steel I Beam: W10 × 39 (Wide Flange 10 inch tall × 39 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
39.0 7.20 × 10-4 111
40.0 7.38 × 10-4 114
50.0 9.23 × 10-4 142
60.0 0.00111 171
70.0 0.00129 199
80.0 0.00148 228
90.0 0.00166 256
100 0.00185 285
200 0.00369 570
300 0.00554 854
400 0.00738 1140
500 0.00923 1420
600 0.0111 1710
700 0.0129 1990
800 0.0148 2280
900 0.0166 2560
1000 0.0185 2850
2000 0.0369 5700
3000 0.0554 8540
4000 0.0738 1.14 × 104
5000 0.0923 1.42 × 104
6000 0.111 1.71 × 104
7000 0.129 1.99 × 104
8000 0.148 2.28 × 104
9000 0.166 2.56 × 104
1.00 × 104 0.185 2.85 × 104
2.00 × 104 0.369 5.70 × 104
3.00 × 104 0.554 8.54 × 104
4.00 × 104 0.738 1.14 × 105
5.00 × 104 0.923 1.42 × 105
6.00 × 104 1.11 1.71 × 105
7.00 × 104 1.29 1.99 × 105
8.00 × 104 1.48 2.28 × 105
9.00 × 104 1.66 2.56 × 105
1.00 × 105 1.85 2.85 × 105
1.04 × 105 1.93 2.97 × 105
Steel I Beam: W10 × 39 (Wide Flange 10 inch tall × 39 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
39.0 0.00364 250
40.0 0.00374 256
50.0 0.00467 320
60.0 0.00561 384
70.0 0.00654 449
80.0 0.00748 513
90.0 0.00841 577
100 0.00934 641
200 0.0187 1280
300 0.0280 1920
400 0.0374 2560
500 0.0467 3200
600 0.0561 3840
700 0.0654 4490
800 0.0748 5130
900 0.0841 5770
1000 0.0934 6410
2000 0.187 1.28 × 104
3000 0.280 1.92 × 104
4000 0.374 2.56 × 104
5000 0.467 3.20 × 104
6000 0.561 3.84 × 104
7000 0.654 4.49 × 104
8000 0.748 5.13 × 104
9000 0.841 5.77 × 104
1.00 × 104 0.934 6.41 × 104
2.00 × 104 1.87 1.28 × 105
3.00 × 104 2.80 1.92 × 105
4.00 × 104 3.74 2.56 × 105
4.64 × 104 4.33 2.97 × 105
Steel I Beam: W10 × 39 (Wide Flange 10 inch tall × 39 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
39.0 0.0115 444
40.0 0.0118 456
50.0 0.0148 570
60.0 0.0177 683
70.0 0.0207 797
80.0 0.0236 911
90.0 0.0266 1030
100 0.0295 1140
200 0.0591 2280
300 0.0886 3420
400 0.118 4560
500 0.148 5700
600 0.177 6830
700 0.207 7970
800 0.236 9110
900 0.266 1.03 × 104
1000 0.295 1.14 × 104
2000 0.591 2.28 × 104
3000 0.886 3.42 × 104
4000 1.18 4.56 × 104
5000 1.48 5.70 × 104
6000 1.77 6.83 × 104
7000 2.07 7.97 × 104
8000 2.36 9.11 × 104
9000 2.66 1.03 × 105
1.00 × 104 2.95 1.14 × 105
2.00 × 104 5.91 2.28 × 105
2.61 × 104 7.70 2.97 × 105
Steel I Beam: W10 × 39 (Wide Flange 10 inch tall × 39 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
39.0 0.0281 694
40.0 0.0288 712
50.0 0.0361 890
60.0 0.0433 1070
70.0 0.0505 1250
80.0 0.0577 1420
90.0 0.0649 1600
100 0.0721 1780
200 0.144 3560
300 0.216 5340
400 0.288 7120
500 0.361 8900
600 0.433 1.07 × 104
700 0.505 1.25 × 104
800 0.577 1.42 × 104
900 0.649 1.60 × 104
1000 0.721 1.78 × 104
2000 1.44 3.56 × 104
3000 2.16 5.34 × 104
4000 2.88 7.12 × 104
5000 3.61 8.90 × 104
6000 4.33 1.07 × 105
7000 5.05 1.25 × 105
8000 5.77 1.42 × 105
9000 6.49 1.60 × 105
1.00 × 104 7.21 1.78 × 105
1.67 × 104 12.0 2.97 × 105
Steel I Beam: W10 × 39 (Wide Flange 10 inch tall × 39 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
39.0 0.0583 1000
40.0 0.0598 1030
50.0 0.0748 1280
60.0 0.0897 1540
70.0 0.105 1790
80.0 0.120 2050
90.0 0.135 2310
100 0.150 2560
200 0.299 5130
300 0.449 7690
400 0.598 1.03 × 104
500 0.748 1.28 × 104
600 0.897 1.54 × 104
700 1.05 1.79 × 104
800 1.20 2.05 × 104
900 1.35 2.31 × 104
1000 1.50 2.56 × 104
2000 2.99 5.13 × 104
3000 4.49 7.69 × 104
4000 5.98 1.03 × 105
5000 7.48 1.28 × 105
6000 8.97 1.54 × 105
6630 9.92 1.70 × 105
Steel I Beam: W10 × 39 (Wide Flange 10 inch tall × 39 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
39.0 0.184 1780
40.0 0.189 1820
50.0 0.236 2280
60.0 0.284 2730
70.0 0.331 3190
80.0 0.378 3650
90.0 0.425 4100
100 0.473 4560
200 0.945 9110
300 1.42 1.37 × 104
400 1.89 1.82 × 104
500 2.36 2.28 × 104
600 2.84 2.73 × 104
700 3.31 3.19 × 104
800 3.78 3.65 × 104
900 4.25 4.10 × 104
1000 4.73 4.56 × 104
2000 9.45 9.11 × 104
2100 9.92 9.57 × 104
Steel I Beam: W10 × 39 (Wide Flange 10 inch tall × 39 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
39.0 0.450 2780
40.0 0.461 2850
50.0 0.577 3560
60.0 0.692 4270
70.0 0.808 4980
80.0 0.923 5700
90.0 1.04 6410
100 1.15 7120
200 2.31 1.42 × 104
300 3.46 2.14 × 104
400 4.61 2.85 × 104
500 5.77 3.56 × 104
600 6.92 4.27 × 104
700 8.08 4.98 × 104
800 9.23 5.70 × 104
860 9.92 6.12 × 104
Steel I Beam: W10 × 39 (Wide Flange 10 inch tall × 39 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
39.0 0.933 4000
40.0 0.957 4100
50.0 1.20 5130
60.0 1.44 6150
70.0 1.67 7180
80.0 1.91 8200
90.0 2.15 9230
100 2.39 1.03 × 104
200 4.78 2.05 × 104
300 7.18 3.08 × 104
400 9.57 4.10 × 104
415 9.92 4.25 × 104
Steel I Beam: W10 × 39 (Wide Flange 10 inch tall × 39 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
39.0 1.73 5440
40.0 1.77 5580
50.0 2.22 6980
60.0 2.66 8370
70.0 3.10 9770
80.0 3.55 1.12 × 104
90.0 3.99 1.26 × 104
100 4.43 1.40 × 104
200 8.86 2.79 × 104
224 9.92 3.12 × 104
Steel I Beam: W10 × 39 (Wide Flange 10 inch tall × 39 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
39.0 2.95 7110
40.0 3.02 7290
50.0 3.78 9110
60.0 4.54 1.09 × 104
70.0 5.29 1.28 × 104
80.0 6.05 1.46 × 104
90.0 6.80 1.64 × 104
100 7.56 1.82 × 104
131 9.92 2.39 × 104
Steel I Beam: W10 × 39 (Wide Flange 10 inch tall × 39 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
39.0 4.72 9000
40.0 4.84 9230
50.0 6.06 1.15 × 104
60.0 7.27 1.38 × 104
70.0 8.48 1.61 × 104
80.0 9.69 1.85 × 104
81.9 9.92 1.89 × 104
Steel I Beam: W10 × 39 (Wide Flange 10 inch tall × 39 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
39.0 7.20 1.11 × 104
40.0 7.38 1.14 × 104
50.0 9.23 1.42 × 104
53.7 9.92 1.53 × 104
Additional Information
Home  About Us  Privacy  Disclaimer  Contact 

Copyright © 2017 eFunda, Inc.