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Wide Flange Steel I Beam: W10 × 39
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 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 = 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 5.40 × 10-6 10.7
40.0 5.54 × 10-6 11.0
50.0 6.93 × 10-6 13.7
60.0 8.31 × 10-6 16.5
70.0 9.70 × 10-6 19.2
80.0 1.11 × 10-5 22.0
90.0 1.25 × 10-5 24.7
100 1.39 × 10-5 27.5
200 2.77 × 10-5 54.9
300 4.16 × 10-5 82.4
400 5.54 × 10-5 110
500 6.93 × 10-5 137
600 8.31 × 10-5 165
700 9.70 × 10-5 192
800 1.11 × 10-4 220
900 1.25 × 10-4 247
1000 1.39 × 10-4 275
2000 2.77 × 10-4 549
3000 4.16 × 10-4 824
4000 5.54 × 10-4 1100
5000 6.93 × 10-4 1370
6000 8.31 × 10-4 1650
7000 9.70 × 10-4 1920
8000 0.00111 2200
9000 0.00125 2470
1.00 × 104 0.00139 2750
2.00 × 104 0.00277 5490
3.00 × 104 0.00416 8240
4.00 × 104 0.00554 1.10 × 104
5.00 × 104 0.00693 1.37 × 104
6.00 × 104 0.00831 1.65 × 104
7.00 × 104 0.00970 1.92 × 104
8.00 × 104 0.0111 2.20 × 104
9.00 × 104 0.0125 2.47 × 104
1.00 × 105 0.0139 2.75 × 104
2.00 × 105 0.0277 5.49 × 104
3.00 × 105 0.0416 8.24 × 104
4.00 × 105 0.0554 1.10 × 105
5.00 × 105 0.0693 1.37 × 105
6.00 × 105 0.0831 1.65 × 105
7.00 × 105 0.0970 1.92 × 105
8.00 × 105 0.111 2.20 × 105
9.00 × 105 0.125 2.47 × 105
1.00 × 106 0.139 2.75 × 105
1.08 × 106 0.150 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 4.17 × 10-5 29.7
40.0 4.28 × 10-5 30.5
50.0 5.34 × 10-5 38.1
60.0 6.41 × 10-5 45.8
70.0 7.48 × 10-5 53.4
80.0 8.55 × 10-5 61.0
90.0 9.62 × 10-5 68.6
100 1.07 × 10-4 76.3
200 2.14 × 10-4 153
300 3.21 × 10-4 229
400 4.28 × 10-4 305
500 5.34 × 10-4 381
600 6.41 × 10-4 458
700 7.48 × 10-4 534
800 8.55 × 10-4 610
900 9.62 × 10-4 686
1000 0.00107 763
2000 0.00214 1530
3000 0.00321 2290
4000 0.00428 3050
5000 0.00534 3810
6000 0.00641 4580
7000 0.00748 5340
8000 0.00855 6100
9000 0.00962 6860
1.00 × 104 0.0107 7630
2.00 × 104 0.0214 1.53 × 104
3.00 × 104 0.0321 2.29 × 104
4.00 × 104 0.0428 3.05 × 104
5.00 × 104 0.0534 3.81 × 104
6.00 × 104 0.0641 4.58 × 104
7.00 × 104 0.0748 5.34 × 104
8.00 × 104 0.0855 6.10 × 104
9.00 × 104 0.0962 6.86 × 104
1.00 × 105 0.107 7.63 × 104
2.00 × 105 0.214 1.53 × 105
3.00 × 105 0.321 2.29 × 105
3.90 × 105 0.416 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 6.67 × 10-4 119
40.0 6.84 × 10-4 122
50.0 8.55 × 10-4 153
60.0 0.00103 183
70.0 0.00120 214
80.0 0.00137 244
90.0 0.00154 275
100 0.00171 305
200 0.00342 610
300 0.00513 915
400 0.00684 1220
500 0.00855 1530
600 0.0103 1830
700 0.0120 2140
800 0.0137 2440
900 0.0154 2750
1000 0.0171 3050
2000 0.0342 6100
3000 0.0513 9150
4000 0.0684 1.22 × 104
5000 0.0855 1.53 × 104
6000 0.103 1.83 × 104
7000 0.120 2.14 × 104
8000 0.137 2.44 × 104
9000 0.154 2.75 × 104
1.00 × 104 0.171 3.05 × 104
2.00 × 104 0.342 6.10 × 104
3.00 × 104 0.513 9.15 × 104
4.00 × 104 0.684 1.22 × 105
5.00 × 104 0.855 1.53 × 105
6.00 × 104 1.03 1.83 × 105
7.00 × 104 1.20 2.14 × 105
8.00 × 104 1.37 2.44 × 105
9.00 × 104 1.54 2.75 × 105
9.74 × 104 1.67 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 0.00338 268
40.0 0.00346 275
50.0 0.00433 343
60.0 0.00519 412
70.0 0.00606 480
80.0 0.00693 549
90.0 0.00779 618
100 0.00866 686
200 0.0173 1370
300 0.0260 2060
400 0.0346 2750
500 0.0433 3430
600 0.0519 4120
700 0.0606 4800
800 0.0693 5490
900 0.0779 6180
1000 0.0866 6860
2000 0.173 1.37 × 104
3000 0.260 2.06 × 104
4000 0.346 2.75 × 104
5000 0.433 3.43 × 104
6000 0.519 4.12 × 104
7000 0.606 4.80 × 104
8000 0.693 5.49 × 104
9000 0.779 6.18 × 104
1.00 × 104 0.866 6.86 × 104
2.00 × 104 1.73 1.37 × 105
3.00 × 104 2.60 2.06 × 105
4.00 × 104 3.46 2.75 × 105
4.33 × 104 3.75 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 0.0107 476
40.0 0.0109 488
50.0 0.0137 610
60.0 0.0164 732
70.0 0.0192 854
80.0 0.0219 976
90.0 0.0246 1100
100 0.0274 1220
200 0.0547 2440
300 0.0821 3660
400 0.109 4880
500 0.137 6100
600 0.164 7320
700 0.192 8540
800 0.219 9760
900 0.246 1.10 × 104
1000 0.274 1.22 × 104
2000 0.547 2.44 × 104
3000 0.821 3.66 × 104
4000 1.09 4.88 × 104
5000 1.37 6.10 × 104
6000 1.64 7.32 × 104
7000 1.92 8.54 × 104
8000 2.19 9.76 × 104
9000 2.46 1.10 × 105
1.00 × 104 2.74 1.22 × 105
2.00 × 104 5.47 2.44 × 105
2.43 × 104 6.66 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 0.0261 743
40.0 0.0267 763
50.0 0.0334 953
60.0 0.0401 1140
70.0 0.0468 1330
80.0 0.0534 1530
90.0 0.0601 1720
100 0.0668 1910
200 0.134 3810
300 0.200 5720
400 0.267 7630
500 0.334 9530
600 0.401 1.14 × 104
700 0.468 1.33 × 104
800 0.534 1.53 × 104
900 0.601 1.72 × 104
1000 0.668 1.91 × 104
2000 1.34 3.81 × 104
3000 2.00 5.72 × 104
4000 2.67 7.63 × 104
5000 3.34 9.53 × 104
6000 4.01 1.14 × 105
7000 4.68 1.33 × 105
8000 5.34 1.53 × 105
9000 6.01 1.72 × 105
1.00 × 104 6.68 1.91 × 105
1.56 × 104 10.4 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 0.0540 1070
40.0 0.0554 1100
50.0 0.0693 1370
60.0 0.0831 1650
70.0 0.0970 1920
80.0 0.111 2200
90.0 0.125 2470
100 0.139 2750
200 0.277 5490
300 0.416 8240
400 0.554 1.10 × 104
500 0.693 1.37 × 104
600 0.831 1.65 × 104
700 0.970 1.92 × 104
800 1.11 2.20 × 104
900 1.25 2.47 × 104
1000 1.39 2.75 × 104
2000 2.77 5.49 × 104
3000 4.16 8.24 × 104
4000 5.54 1.10 × 105
5000 6.93 1.37 × 105
6000 8.31 1.65 × 105
7000 9.70 1.92 × 105
7160 9.92 1.97 × 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 0.171 1900
40.0 0.175 1950
50.0 0.219 2440
60.0 0.263 2930
70.0 0.306 3420
80.0 0.350 3900
90.0 0.394 4390
100 0.438 4880
200 0.876 9760
300 1.31 1.46 × 104
400 1.75 1.95 × 104
500 2.19 2.44 × 104
600 2.63 2.93 × 104
700 3.06 3.42 × 104
800 3.50 3.90 × 104
900 3.94 4.39 × 104
1000 4.38 4.88 × 104
2000 8.76 9.76 × 104
2270 9.92 1.11 × 105
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 0.417 2970
40.0 0.428 3050
50.0 0.534 3810
60.0 0.641 4580
70.0 0.748 5340
80.0 0.855 6100
90.0 0.962 6860
100 1.07 7630
200 2.14 1.53 × 104
300 3.21 2.29 × 104
400 4.28 3.05 × 104
500 5.34 3.81 × 104
600 6.41 4.58 × 104
700 7.48 5.34 × 104
800 8.55 6.10 × 104
900 9.62 6.86 × 104
928 9.92 7.08 × 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 0.864 4280
40.0 0.887 4390
50.0 1.11 5490
60.0 1.33 6590
70.0 1.55 7690
80.0 1.77 8780
90.0 1.99 9880
100 2.22 1.10 × 104
200 4.43 2.20 × 104
300 6.65 3.29 × 104
400 8.87 4.39 × 104
448 9.92 4.91 × 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 1.60 5830
40.0 1.64 5980
50.0 2.05 7470
60.0 2.46 8970
70.0 2.87 1.05 × 104
80.0 3.28 1.20 × 104
90.0 3.70 1.35 × 104
100 4.11 1.49 × 104
200 8.21 2.99 × 104
242 9.92 3.61 × 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 2.73 7610
40.0 2.80 7810
50.0 3.50 9760
60.0 4.20 1.17 × 104
70.0 4.90 1.37 × 104
80.0 5.60 1.56 × 104
90.0 6.30 1.76 × 104
100 7.00 1.95 × 104
142 9.92 2.76 × 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 4.38 9640
40.0 4.49 9880
50.0 5.61 1.24 × 104
60.0 6.73 1.48 × 104
70.0 7.85 1.73 × 104
80.0 8.98 1.98 × 104
88.4 9.92 2.18 × 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 6.67 1.19 × 104
40.0 6.84 1.22 × 104
50.0 8.55 1.53 × 104
58.0 9.92 1.77 × 104
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