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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » S Section Steel I Beam » S24 × 106
S Section 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 = 2940 in4) for the S24 × 106 S Section 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
L = 125 ft
L = 150 ft
L = 200 ft
   
Steel I Beam: S24 × 106 (S24 inch tall × 106 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 1.04 × 10-6 5.11
200 1.97 × 10-6 9.64
300 2.95 × 10-6 14.5
400 3.94 × 10-6 19.3
500 4.92 × 10-6 24.1
600 5.91 × 10-6 28.9
700 6.89 × 10-6 33.7
800 7.88 × 10-6 38.6
900 8.86 × 10-6 43.4
1000 9.85 × 10-6 48.2
2000 1.97 × 10-5 96.4
3000 2.95 × 10-5 145
4000 3.94 × 10-5 193
5000 4.92 × 10-5 241
6000 5.91 × 10-5 289
7000 6.89 × 10-5 337
8000 7.88 × 10-5 386
9000 8.86 × 10-5 434
1.00 × 104 9.85 × 10-5 482
2.00 × 104 1.97 × 10-4 964
3.00 × 104 2.95 × 10-4 1450
4.00 × 104 3.94 × 10-4 1930
5.00 × 104 4.92 × 10-4 2410
6.00 × 104 5.91 × 10-4 2890
7.00 × 104 6.89 × 10-4 3370
8.00 × 104 7.88 × 10-4 3860
9.00 × 104 8.86 × 10-4 4340
1.00 × 105 9.85 × 10-4 4820
2.00 × 105 0.00197 9640
3.00 × 105 0.00295 1.45 × 104
4.00 × 105 0.00394 1.93 × 104
5.00 × 105 0.00492 2.41 × 104
6.00 × 105 0.00591 2.89 × 104
7.00 × 105 0.00689 3.37 × 104
8.00 × 105 0.00788 3.86 × 104
9.00 × 105 0.00886 4.34 × 104
1.00 × 106 0.00985 4.82 × 104
2.00 × 106 0.0197 9.64 × 104
3.00 × 106 0.0295 1.45 × 105
4.00 × 106 0.0394 1.93 × 105
5.00 × 106 0.0492 2.41 × 105
6.00 × 106 0.0591 2.89 × 105
6.16 × 106 0.0607 2.97 × 105
Steel I Beam: S24 × 106 (S24 inch tall × 106 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 8.05 × 10-6 14.2
200 1.52 × 10-5 26.8
300 2.28 × 10-5 40.2
400 3.04 × 10-5 53.6
500 3.80 × 10-5 66.9
600 4.56 × 10-5 80.3
700 5.32 × 10-5 93.7
800 6.08 × 10-5 107
900 6.84 × 10-5 120
1000 7.60 × 10-5 134
2000 1.52 × 10-4 268
3000 2.28 × 10-4 402
4000 3.04 × 10-4 535
5000 3.80 × 10-4 669
6000 4.56 × 10-4 803
7000 5.32 × 10-4 937
8000 6.08 × 10-4 1070
9000 6.84 × 10-4 1200
1.00 × 104 7.60 × 10-4 1340
2.00 × 104 0.00152 2680
3.00 × 104 0.00228 4020
4.00 × 104 0.00304 5360
5.00 × 104 0.00380 6690
6.00 × 104 0.00456 8030
7.00 × 104 0.00532 9370
8.00 × 104 0.00608 1.07 × 104
9.00 × 104 0.00684 1.20 × 104
1.00 × 105 0.00760 1.34 × 104
2.00 × 105 0.0152 2.68 × 104
3.00 × 105 0.0228 4.02 × 104
4.00 × 105 0.0304 5.36 × 104
5.00 × 105 0.0380 6.69 × 104
6.00 × 105 0.0456 8.03 × 104
7.00 × 105 0.0532 9.37 × 104
8.00 × 105 0.0608 1.07 × 105
9.00 × 105 0.0684 1.20 × 105
1.00 × 106 0.0760 1.34 × 105
2.00 × 106 0.152 2.68 × 105
2.22 × 106 0.169 2.97 × 105
Steel I Beam: S24 × 106 (S24 inch tall × 106 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 1.29 × 10-4 56.8
200 2.43 × 10-4 107
300 3.65 × 10-4 161
400 4.86 × 10-4 214
500 6.08 × 10-4 268
600 7.29 × 10-4 321
700 8.51 × 10-4 375
800 9.73 × 10-4 428
900 0.00109 482
1000 0.00122 535
2000 0.00243 1070
3000 0.00365 1610
4000 0.00486 2140
5000 0.00608 2680
6000 0.00729 3210
7000 0.00851 3750
8000 0.00973 4280
9000 0.0109 4820
1.00 × 104 0.0122 5360
2.00 × 104 0.0243 1.07 × 104
3.00 × 104 0.0365 1.61 × 104
4.00 × 104 0.0486 2.14 × 104
5.00 × 104 0.0608 2.68 × 104
6.00 × 104 0.0729 3.21 × 104
7.00 × 104 0.0851 3.75 × 104
8.00 × 104 0.0973 4.28 × 104
9.00 × 104 0.109 4.82 × 104
1.00 × 105 0.122 5.36 × 104
2.00 × 105 0.243 1.07 × 105
3.00 × 105 0.365 1.61 × 105
4.00 × 105 0.486 2.14 × 105
5.00 × 105 0.608 2.68 × 105
5.55 × 105 0.674 2.97 × 105
Steel I Beam: S24 × 106 (S24 inch tall × 106 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 6.52 × 10-4 128
200 0.00123 241
300 0.00185 361
400 0.00246 482
500 0.00308 602
600 0.00369 723
700 0.00431 843
800 0.00492 964
900 0.00554 1080
1000 0.00615 1200
2000 0.0123 2410
3000 0.0185 3610
4000 0.0246 4820
5000 0.0308 6020
6000 0.0369 7230
7000 0.0431 8430
8000 0.0492 9640
9000 0.0554 1.08 × 104
1.00 × 104 0.0615 1.20 × 104
2.00 × 104 0.123 2.41 × 104
3.00 × 104 0.185 3.61 × 104
4.00 × 104 0.246 4.82 × 104
5.00 × 104 0.308 6.02 × 104
6.00 × 104 0.369 7.23 × 104
7.00 × 104 0.431 8.43 × 104
8.00 × 104 0.492 9.64 × 104
9.00 × 104 0.554 1.08 × 105
1.00 × 105 0.615 1.20 × 105
2.00 × 105 1.23 2.41 × 105
2.47 × 105 1.52 2.97 × 105
Steel I Beam: S24 × 106 (S24 inch tall × 106 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.00206 227
200 0.00389 428
300 0.00584 643
400 0.00778 857
500 0.00973 1070
600 0.0117 1290
700 0.0136 1500
800 0.0156 1710
900 0.0175 1930
1000 0.0195 2140
2000 0.0389 4280
3000 0.0584 6430
4000 0.0778 8570
5000 0.0973 1.07 × 104
6000 0.117 1.29 × 104
7000 0.136 1.50 × 104
8000 0.156 1.71 × 104
9000 0.175 1.93 × 104
1.00 × 104 0.195 2.14 × 104
2.00 × 104 0.389 4.28 × 104
3.00 × 104 0.584 6.43 × 104
4.00 × 104 0.778 8.57 × 104
5.00 × 104 0.973 1.07 × 105
6.00 × 104 1.17 1.29 × 105
7.00 × 104 1.36 1.50 × 105
8.00 × 104 1.56 1.71 × 105
9.00 × 104 1.75 1.93 × 105
1.00 × 105 1.95 2.14 × 105
1.39 × 105 2.70 2.97 × 105
Steel I Beam: S24 × 106 (S24 inch tall × 106 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.00503 355
200 0.00950 669
300 0.0142 1000
400 0.0190 1340
500 0.0237 1670
600 0.0285 2010
700 0.0332 2340
800 0.0380 2680
900 0.0427 3010
1000 0.0475 3350
2000 0.0950 6690
3000 0.142 1.00 × 104
4000 0.190 1.34 × 104
5000 0.237 1.67 × 104
6000 0.285 2.01 × 104
7000 0.332 2.34 × 104
8000 0.380 2.68 × 104
9000 0.427 3.01 × 104
1.00 × 104 0.475 3.35 × 104
2.00 × 104 0.950 6.69 × 104
3.00 × 104 1.42 1.00 × 105
4.00 × 104 1.90 1.34 × 105
5.00 × 104 2.37 1.67 × 105
6.00 × 104 2.85 2.01 × 105
7.00 × 104 3.32 2.34 × 105
8.00 × 104 3.80 2.68 × 105
8.88 × 104 4.21 2.97 × 105
Steel I Beam: S24 × 106 (S24 inch tall × 106 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.0104 511
200 0.0197 964
300 0.0295 1450
400 0.0394 1930
500 0.0492 2410
600 0.0591 2890
700 0.0689 3370
800 0.0788 3860
900 0.0886 4340
1000 0.0985 4820
2000 0.197 9640
3000 0.295 1.45 × 104
4000 0.394 1.93 × 104
5000 0.492 2.41 × 104
6000 0.591 2.89 × 104
7000 0.689 3.37 × 104
8000 0.788 3.86 × 104
9000 0.886 4.34 × 104
1.00 × 104 0.985 4.82 × 104
2.00 × 104 1.97 9.64 × 104
3.00 × 104 2.95 1.45 × 105
4.00 × 104 3.94 1.93 × 105
5.00 × 104 4.92 2.41 × 105
6.00 × 104 5.91 2.89 × 105
6.16 × 104 6.07 2.97 × 105
Steel I Beam: S24 × 106 (S24 inch tall × 106 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.0330 908
200 0.0622 1710
300 0.0934 2570
400 0.124 3430
500 0.156 4280
600 0.187 5140
700 0.218 6000
800 0.249 6850
900 0.280 7710
1000 0.311 8570
2000 0.622 1.71 × 104
3000 0.934 2.57 × 104
4000 1.24 3.43 × 104
5000 1.56 4.28 × 104
6000 1.87 5.14 × 104
7000 2.18 6.00 × 104
8000 2.49 6.85 × 104
9000 2.80 7.71 × 104
1.00 × 104 3.11 8.57 × 104
2.00 × 104 6.22 1.71 × 105
3.00 × 104 9.34 2.57 × 105
3.47 × 104 10.8 2.97 × 105
Steel I Beam: S24 × 106 (S24 inch tall × 106 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.0805 1420
200 0.152 2680
300 0.228 4020
400 0.304 5360
500 0.380 6690
600 0.456 8030
700 0.532 9370
800 0.608 1.07 × 104
900 0.684 1.20 × 104
1000 0.760 1.34 × 104
2000 1.52 2.68 × 104
3000 2.28 4.02 × 104
4000 3.04 5.35 × 104
5000 3.80 6.69 × 104
6000 4.56 8.03 × 104
7000 5.32 9.37 × 104
8000 6.08 1.07 × 105
9000 6.84 1.20 × 105
1.00 × 104 7.60 1.34 × 105
2.00 × 104 15.2 2.68 × 105
2.22 × 104 16.9 2.97 × 105
Steel I Beam: S24 × 106 (S24 inch tall × 106 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.167 2040
200 0.315 3860
300 0.473 5780
400 0.630 7710
500 0.788 9640
600 0.945 1.16 × 104
700 1.10 1.35 × 104
800 1.26 1.54 × 104
900 1.42 1.74 × 104
1000 1.58 1.93 × 104
2000 3.15 3.86 × 104
3000 4.73 5.78 × 104
4000 6.30 7.71 × 104
5000 7.88 9.64 × 104
6000 9.45 1.16 × 105
7000 11.0 1.35 × 105
8000 12.6 1.54 × 105
9000 14.2 1.74 × 105
1.00 × 104 15.8 1.93 × 105
1.54 × 104 24.3 2.97 × 105
Steel I Beam: S24 × 106 (S24 inch tall × 106 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.309 2780
200 0.584 5250
300 0.876 7870
400 1.17 1.05 × 104
500 1.46 1.31 × 104
600 1.75 1.57 × 104
700 2.04 1.84 × 104
800 2.34 2.10 × 104
900 2.63 2.36 × 104
1000 2.92 2.62 × 104
2000 5.84 5.25 × 104
3000 8.76 7.87 × 104
4000 11.7 1.05 × 105
5000 14.6 1.31 × 105
6000 17.5 1.57 × 105
7000 20.4 1.84 × 105
8000 23.4 2.10 × 105
8390 24.5 2.20 × 105
Steel I Beam: S24 × 106 (S24 inch tall × 106 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.528 3630
200 0.996 6850
300 1.49 1.03 × 104
400 1.99 1.37 × 104
500 2.49 1.71 × 104
600 2.99 2.06 × 104
700 3.49 2.40 × 104
800 3.98 2.74 × 104
900 4.48 3.08 × 104
1000 4.98 3.43 × 104
2000 9.96 6.85 × 104
3000 14.9 1.03 × 105
4000 19.9 1.37 × 105
4920 24.5 1.69 × 105
Steel I Beam: S24 × 106 (S24 inch tall × 106 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 0.845 4600
200 1.60 8680
300 2.39 1.30 × 104
400 3.19 1.74 × 104
500 3.99 2.17 × 104
600 4.79 2.60 × 104
700 5.58 3.04 × 104
800 6.38 3.47 × 104
900 7.18 3.90 × 104
1000 7.98 4.34 × 104
2000 16.0 8.68 × 104
3000 23.9 1.30 × 105
3070 24.5 1.33 × 105
Steel I Beam: S24 × 106 (S24 inch tall × 106 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 1.29 5680
200 2.43 1.07 × 104
300 3.65 1.61 × 104
400 4.86 2.14 × 104
500 6.08 2.68 × 104
600 7.29 3.21 × 104
700 8.51 3.75 × 104
800 9.73 4.28 × 104
900 10.9 4.82 × 104
1000 12.2 5.35 × 104
2000 24.3 1.07 × 105
2020 24.5 1.08 × 105
Steel I Beam: S24 × 106 (S24 inch tall × 106 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 3.15 8870
200 5.94 1.67 × 104
300 8.90 2.51 × 104
400 11.9 3.35 × 104
500 14.8 4.18 × 104
600 17.8 5.02 × 104
700 20.8 5.86 × 104
800 23.7 6.69 × 104
825 24.5 6.91 × 104
Steel I Beam: S24 × 106 (S24 inch tall × 106 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 6.52 1.28 × 104
200 12.3 2.41 × 104
300 18.5 3.61 × 104
398 24.5 4.80 × 104
Steel I Beam: S24 × 106 (S24 inch tall × 106 lbf/ft)
L = 200 ft
P (lbf/ft) w_max (in) stress_max (psi)
106 20.6 2.27 × 104
126 24.5 2.70 × 104
Additional Information
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