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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » S Section Steel I Beam » S24 × 80
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 = 2100 in4) for the S24 × 80 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 × 80 (S24 inch tall × 80 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
80.0 1.10 × 10-6 5.29
90.0 1.24 × 10-6 5.95
100 1.38 × 10-6 6.61
200 2.76 × 10-6 13.2
300 4.14 × 10-6 19.8
400 5.51 × 10-6 26.4
500 6.89 × 10-6 33.0
600 8.27 × 10-6 39.7
700 9.65 × 10-6 46.3
800 1.10 × 10-5 52.9
900 1.24 × 10-5 59.5
1000 1.38 × 10-5 66.1
2000 2.76 × 10-5 132
3000 4.14 × 10-5 198
4000 5.51 × 10-5 264
5000 6.89 × 10-5 330
6000 8.27 × 10-5 397
7000 9.65 × 10-5 463
8000 1.10 × 10-4 529
9000 1.24 × 10-4 595
1.00 × 104 1.38 × 10-4 661
2.00 × 104 2.76 × 10-4 1320
3.00 × 104 4.14 × 10-4 1980
4.00 × 104 5.51 × 10-4 2640
5.00 × 104 6.89 × 10-4 3300
6.00 × 104 8.27 × 10-4 3970
7.00 × 104 9.65 × 10-4 4630
8.00 × 104 0.00110 5290
9.00 × 104 0.00124 5950
1.00 × 105 0.00138 6610
2.00 × 105 0.00276 1.32 × 104
3.00 × 105 0.00414 1.98 × 104
4.00 × 105 0.00551 2.64 × 104
5.00 × 105 0.00689 3.30 × 104
6.00 × 105 0.00827 3.97 × 104
7.00 × 105 0.00965 4.63 × 104
8.00 × 105 0.0110 5.29 × 104
9.00 × 105 0.0124 5.95 × 104
1.00 × 106 0.0138 6.61 × 104
2.00 × 106 0.0276 1.32 × 105
3.00 × 106 0.0414 1.98 × 105
4.00 × 106 0.0551 2.64 × 105
4.49 × 106 0.0620 2.97 × 105
Steel I Beam: S24 × 80 (S24 inch tall × 80 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
80.0 8.51 × 10-6 14.7
90.0 9.57 × 10-6 16.5
100 1.06 × 10-5 18.4
200 2.13 × 10-5 36.7
300 3.19 × 10-5 55.1
400 4.26 × 10-5 73.4
500 5.32 × 10-5 91.8
600 6.38 × 10-5 110
700 7.45 × 10-5 129
800 8.51 × 10-5 147
900 9.57 × 10-5 165
1000 1.06 × 10-4 184
2000 2.13 × 10-4 367
3000 3.19 × 10-4 551
4000 4.26 × 10-4 734
5000 5.32 × 10-4 918
6000 6.38 × 10-4 1100
7000 7.45 × 10-4 1290
8000 8.51 × 10-4 1470
9000 9.57 × 10-4 1650
1.00 × 104 0.00106 1840
2.00 × 104 0.00213 3670
3.00 × 104 0.00319 5510
4.00 × 104 0.00426 7340
5.00 × 104 0.00532 9180
6.00 × 104 0.00638 1.10 × 104
7.00 × 104 0.00745 1.29 × 104
8.00 × 104 0.00851 1.47 × 104
9.00 × 104 0.00957 1.65 × 104
1.00 × 105 0.0106 1.84 × 104
2.00 × 105 0.0213 3.67 × 104
3.00 × 105 0.0319 5.51 × 104
4.00 × 105 0.0426 7.34 × 104
5.00 × 105 0.0532 9.18 × 104
6.00 × 105 0.0638 1.10 × 105
7.00 × 105 0.0745 1.29 × 105
8.00 × 105 0.0851 1.47 × 105
9.00 × 105 0.0957 1.65 × 105
1.00 × 106 0.106 1.84 × 105
1.62 × 106 0.172 2.97 × 105
Steel I Beam: S24 × 80 (S24 inch tall × 80 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
80.0 1.36 × 10-4 58.8
90.0 1.53 × 10-4 66.1
100 1.70 × 10-4 73.4
200 3.40 × 10-4 147
300 5.11 × 10-4 220
400 6.81 × 10-4 294
500 8.51 × 10-4 367
600 0.00102 441
700 0.00119 514
800 0.00136 588
900 0.00153 661
1000 0.00170 734
2000 0.00340 1470
3000 0.00511 2200
4000 0.00681 2940
5000 0.00851 3670
6000 0.0102 4410
7000 0.0119 5140
8000 0.0136 5880
9000 0.0153 6610
1.00 × 104 0.0170 7340
2.00 × 104 0.0340 1.47 × 104
3.00 × 104 0.0511 2.20 × 104
4.00 × 104 0.0681 2.94 × 104
5.00 × 104 0.0851 3.67 × 104
6.00 × 104 0.102 4.41 × 104
7.00 × 104 0.119 5.14 × 104
8.00 × 104 0.136 5.88 × 104
9.00 × 104 0.153 6.61 × 104
1.00 × 105 0.170 7.34 × 104
2.00 × 105 0.340 1.47 × 105
3.00 × 105 0.511 2.20 × 105
4.00 × 105 0.681 2.94 × 105
4.04 × 105 0.688 2.97 × 105
Steel I Beam: S24 × 80 (S24 inch tall × 80 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
80.0 6.89 × 10-4 132
90.0 7.75 × 10-4 149
100 8.62 × 10-4 165
200 0.00172 330
300 0.00258 496
400 0.00345 661
500 0.00431 826
600 0.00517 991
700 0.00603 1160
800 0.00689 1320
900 0.00775 1490
1000 0.00862 1650
2000 0.0172 3300
3000 0.0258 4960
4000 0.0345 6610
5000 0.0431 8260
6000 0.0517 9910
7000 0.0603 1.16 × 104
8000 0.0689 1.32 × 104
9000 0.0775 1.49 × 104
1.00 × 104 0.0862 1.65 × 104
2.00 × 104 0.172 3.30 × 104
3.00 × 104 0.258 4.96 × 104
4.00 × 104 0.345 6.61 × 104
5.00 × 104 0.431 8.26 × 104
6.00 × 104 0.517 9.91 × 104
7.00 × 104 0.603 1.16 × 105
8.00 × 104 0.689 1.32 × 105
9.00 × 104 0.775 1.49 × 105
1.00 × 105 0.862 1.65 × 105
1.80 × 105 1.55 2.97 × 105
Steel I Beam: S24 × 80 (S24 inch tall × 80 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
80.0 0.00218 235
90.0 0.00245 264
100 0.00272 294
200 0.00545 588
300 0.00817 881
400 0.0109 1180
500 0.0136 1470
600 0.0163 1760
700 0.0191 2060
800 0.0218 2350
900 0.0245 2640
1000 0.0272 2940
2000 0.0545 5880
3000 0.0817 8810
4000 0.109 1.18 × 104
5000 0.136 1.47 × 104
6000 0.163 1.76 × 104
7000 0.191 2.06 × 104
8000 0.218 2.35 × 104
9000 0.245 2.64 × 104
1.00 × 104 0.272 2.94 × 104
2.00 × 104 0.545 5.88 × 104
3.00 × 104 0.817 8.81 × 104
4.00 × 104 1.09 1.18 × 105
5.00 × 104 1.36 1.47 × 105
6.00 × 104 1.63 1.76 × 105
7.00 × 104 1.91 2.06 × 105
8.00 × 104 2.18 2.35 × 105
9.00 × 104 2.45 2.64 × 105
1.00 × 105 2.72 2.94 × 105
1.01 × 105 2.75 2.97 × 105
Steel I Beam: S24 × 80 (S24 inch tall × 80 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
80.0 0.00532 367
90.0 0.00598 413
100 0.00665 459
200 0.0133 918
300 0.0199 1380
400 0.0266 1840
500 0.0332 2290
600 0.0399 2750
700 0.0465 3210
800 0.0532 3670
900 0.0598 4130
1000 0.0665 4590
2000 0.133 9180
3000 0.199 1.38 × 104
4000 0.266 1.84 × 104
5000 0.332 2.30 × 104
6000 0.399 2.75 × 104
7000 0.465 3.21 × 104
8000 0.532 3.67 × 104
9000 0.598 4.13 × 104
1.00 × 104 0.665 4.59 × 104
2.00 × 104 1.33 9.18 × 104
3.00 × 104 1.99 1.38 × 105
4.00 × 104 2.66 1.84 × 105
5.00 × 104 3.32 2.30 × 105
6.00 × 104 3.99 2.75 × 105
6.47 × 104 4.30 2.97 × 105
Steel I Beam: S24 × 80 (S24 inch tall × 80 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
80.0 0.0110 529
90.0 0.0124 595
100 0.0138 661
200 0.0276 1320
300 0.0414 1980
400 0.0551 2640
500 0.0689 3300
600 0.0827 3970
700 0.0965 4630
800 0.110 5290
900 0.124 5950
1000 0.138 6610
2000 0.276 1.32 × 104
3000 0.414 1.98 × 104
4000 0.551 2.64 × 104
5000 0.689 3.30 × 104
6000 0.827 3.97 × 104
7000 0.965 4.63 × 104
8000 1.10 5.29 × 104
9000 1.24 5.95 × 104
1.00 × 104 1.38 6.61 × 104
2.00 × 104 2.76 1.32 × 105
3.00 × 104 4.14 1.98 × 105
4.00 × 104 5.51 2.64 × 105
4.49 × 104 6.20 2.97 × 105
Steel I Beam: S24 × 80 (S24 inch tall × 80 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
80.0 0.0349 940
90.0 0.0392 1060
100 0.0436 1180
200 0.0871 2350
300 0.131 3530
400 0.174 4700
500 0.218 5880
600 0.261 7050
700 0.305 8230
800 0.349 9400
900 0.392 1.06 × 104
1000 0.436 1.18 × 104
2000 0.871 2.35 × 104
3000 1.31 3.53 × 104
4000 1.74 4.70 × 104
5000 2.18 5.88 × 104
6000 2.61 7.05 × 104
7000 3.05 8.23 × 104
8000 3.49 9.40 × 104
9000 3.92 1.06 × 105
1.00 × 104 4.36 1.18 × 105
2.00 × 104 8.71 2.35 × 105
2.53 × 104 11.0 2.97 × 105
Steel I Beam: S24 × 80 (S24 inch tall × 80 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
80.0 0.0851 1470
90.0 0.0957 1650
100 0.106 1840
200 0.213 3670
300 0.319 5510
400 0.426 7340
500 0.532 9180
600 0.638 1.10 × 104
700 0.745 1.29 × 104
800 0.851 1.47 × 104
900 0.957 1.65 × 104
1000 1.06 1.84 × 104
2000 2.13 3.67 × 104
3000 3.19 5.51 × 104
4000 4.26 7.34 × 104
5000 5.32 9.18 × 104
6000 6.38 1.10 × 105
7000 7.45 1.29 × 105
8000 8.51 1.47 × 105
9000 9.57 1.65 × 105
1.00 × 104 10.6 1.84 × 105
1.62 × 104 17.2 2.97 × 105
Steel I Beam: S24 × 80 (S24 inch tall × 80 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
80.0 0.176 2120
90.0 0.199 2380
100 0.221 2640
200 0.441 5290
300 0.662 7930
400 0.882 1.06 × 104
500 1.10 1.32 × 104
600 1.32 1.59 × 104
700 1.54 1.85 × 104
800 1.76 2.12 × 104
900 1.99 2.38 × 104
1000 2.21 2.64 × 104
2000 4.41 5.29 × 104
3000 6.62 7.93 × 104
4000 8.82 1.06 × 105
5000 11.0 1.32 × 105
6000 13.2 1.59 × 105
7000 15.4 1.85 × 105
8000 17.6 2.12 × 105
9000 19.9 2.38 × 105
1.00 × 104 22.1 2.64 × 105
1.12 × 104 24.8 2.97 × 105
Steel I Beam: S24 × 80 (S24 inch tall × 80 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
80.0 0.327 2880
90.0 0.368 3240
100 0.409 3600
200 0.817 7200
300 1.23 1.08 × 104
400 1.63 1.44 × 104
500 2.04 1.80 × 104
600 2.45 2.16 × 104
700 2.86 2.52 × 104
800 3.27 2.88 × 104
900 3.68 3.24 × 104
1000 4.09 3.60 × 104
2000 8.17 7.20 × 104
3000 12.3 1.08 × 105
4000 16.3 1.44 × 105
5000 20.4 1.80 × 105
5870 24.0 2.11 × 105
Steel I Beam: S24 × 80 (S24 inch tall × 80 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
80.0 0.558 3760
90.0 0.627 4230
100 0.697 4700
200 1.39 9400
300 2.09 1.41 × 104
400 2.79 1.88 × 104
500 3.49 2.35 × 104
600 4.18 2.82 × 104
700 4.88 3.29 × 104
800 5.58 3.76 × 104
900 6.27 4.23 × 104
1000 6.97 4.70 × 104
2000 13.9 9.40 × 104
3000 20.9 1.41 × 105
3440 24.0 1.62 × 105
Steel I Beam: S24 × 80 (S24 inch tall × 80 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
80.0 0.893 4760
90.0 1.01 5350
100 1.12 5950
200 2.23 1.19 × 104
300 3.35 1.78 × 104
400 4.47 2.38 × 104
500 5.58 2.97 × 104
600 6.70 3.57 × 104
700 7.82 4.16 × 104
800 8.93 4.76 × 104
900 10.1 5.35 × 104
1000 11.2 5.95 × 104
2000 22.3 1.19 × 105
2150 24.0 1.28 × 105
Steel I Beam: S24 × 80 (S24 inch tall × 80 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
80.0 1.36 5880
90.0 1.53 6610
100 1.70 7340
200 3.40 1.47 × 104
300 5.11 2.20 × 104
400 6.81 2.94 × 104
500 8.51 3.67 × 104
600 10.2 4.41 × 104
700 11.9 5.14 × 104
800 13.6 5.88 × 104
900 15.3 6.61 × 104
1000 17.0 7.34 × 104
1410 24.0 1.04 × 105
Steel I Beam: S24 × 80 (S24 inch tall × 80 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
80.0 3.32 9180
90.0 3.74 1.03 × 104
100 4.16 1.15 × 104
200 8.31 2.30 × 104
300 12.5 3.44 × 104
400 16.6 4.59 × 104
500 20.8 5.74 × 104
578 24.0 6.63 × 104
Steel I Beam: S24 × 80 (S24 inch tall × 80 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
80.0 6.89 1.32 × 104
90.0 7.75 1.49 × 104
100 8.62 1.65 × 104
200 17.2 3.30 × 104
279 24.0 4.60 × 104
Steel I Beam: S24 × 80 (S24 inch tall × 80 lbf/ft)
L = 200 ft
P (lbf/ft) w_max (in) stress_max (psi)
80.0 21.8 2.35 × 104
88.1 24.0 2.59 × 104
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