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S Section Steel I Beam: S8 × 23
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » S Section Steel I Beam » S8 × 23
S Section 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 = 64.9 in4) for the S8 × 23 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
   
Steel I Beam: S8 × 23 (S8 inch tall × 23 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
23.0 1.11 × 10-5 15.3
30.0 1.44 × 10-5 20.0
40.0 1.93 × 10-5 26.6
50.0 2.41 × 10-5 33.3
60.0 2.89 × 10-5 39.9
70.0 3.37 × 10-5 46.6
80.0 3.85 × 10-5 53.3
90.0 4.33 × 10-5 59.9
100 4.81 × 10-5 66.6
200 9.63 × 10-5 133
300 1.44 × 10-4 200
400 1.93 × 10-4 266
500 2.41 × 10-4 333
600 2.89 × 10-4 399
700 3.37 × 10-4 466
800 3.85 × 10-4 533
900 4.33 × 10-4 599
1000 4.81 × 10-4 666
2000 9.63 × 10-4 1330
3000 0.00144 2000
4000 0.00193 2660
5000 0.00241 3330
6000 0.00289 3990
7000 0.00337 4660
8000 0.00385 5330
9000 0.00433 5990
1.00 × 104 0.00481 6660
2.00 × 104 0.00963 1.33 × 104
3.00 × 104 0.0144 2.00 × 104
4.00 × 104 0.0193 2.66 × 104
5.00 × 104 0.0241 3.33 × 104
6.00 × 104 0.0289 3.99 × 104
7.00 × 104 0.0337 4.66 × 104
8.00 × 104 0.0385 5.33 × 104
9.00 × 104 0.0433 5.99 × 104
1.00 × 105 0.0481 6.66 × 104
2.00 × 105 0.0963 1.33 × 105
3.00 × 105 0.144 2.00 × 105
4.00 × 105 0.193 2.66 × 105
4.46 × 105 0.215 2.97 × 105
Steel I Beam: S8 × 23 (S8 inch tall × 23 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
23.0 8.55 × 10-5 42.5
30.0 1.11 × 10-4 55.5
40.0 1.49 × 10-4 74.0
50.0 1.86 × 10-4 92.4
60.0 2.23 × 10-4 111
70.0 2.60 × 10-4 129
80.0 2.97 × 10-4 148
90.0 3.34 × 10-4 166
100 3.72 × 10-4 185
200 7.43 × 10-4 370
300 0.00111 555
400 0.00149 740
500 0.00186 924
600 0.00223 1110
700 0.00260 1290
800 0.00297 1480
900 0.00334 1660
1000 0.00372 1850
2000 0.00743 3700
3000 0.0111 5550
4000 0.0149 7400
5000 0.0186 9240
6000 0.0223 1.11 × 104
7000 0.0260 1.29 × 104
8000 0.0297 1.48 × 104
9000 0.0334 1.66 × 104
1.00 × 104 0.0372 1.85 × 104
2.00 × 104 0.0743 3.70 × 104
3.00 × 104 0.111 5.55 × 104
4.00 × 104 0.149 7.40 × 104
5.00 × 104 0.186 9.24 × 104
6.00 × 104 0.223 1.11 × 105
7.00 × 104 0.260 1.29 × 105
8.00 × 104 0.297 1.48 × 105
9.00 × 104 0.334 1.66 × 105
1.00 × 105 0.372 1.85 × 105
1.61 × 105 0.597 2.97 × 105
Steel I Beam: S8 × 23 (S8 inch tall × 23 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
23.0 0.00137 170
30.0 0.00178 222
40.0 0.00238 296
50.0 0.00297 370
60.0 0.00357 444
70.0 0.00416 518
80.0 0.00476 592
90.0 0.00535 666
100 0.00594 740
200 0.0119 1480
300 0.0178 2220
400 0.0238 2960
500 0.0297 3700
600 0.0357 4440
700 0.0416 5180
800 0.0476 5920
900 0.0535 6660
1000 0.0594 7400
2000 0.119 1.48 × 104
3000 0.178 2.22 × 104
4000 0.238 2.96 × 104
5000 0.297 3.70 × 104
6000 0.357 4.44 × 104
7000 0.416 5.18 × 104
8000 0.476 5.92 × 104
9000 0.535 6.66 × 104
1.00 × 104 0.594 7.40 × 104
2.00 × 104 1.19 1.48 × 105
3.00 × 104 1.78 2.22 × 105
4.00 × 104 2.38 2.96 × 105
4.02 × 104 2.39 2.97 × 105
Steel I Beam: S8 × 23 (S8 inch tall × 23 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
23.0 0.00692 383
30.0 0.00903 499
40.0 0.0120 666
50.0 0.0150 832
60.0 0.0181 998
70.0 0.0211 1160
80.0 0.0241 1330
90.0 0.0271 1500
100 0.0301 1660
200 0.0602 3330
300 0.0903 4990
400 0.120 6660
500 0.150 8320
600 0.181 9980
700 0.211 1.16 × 104
800 0.241 1.33 × 104
900 0.271 1.50 × 104
1000 0.301 1.66 × 104
2000 0.602 3.33 × 104
3000 0.903 4.99 × 104
4000 1.20 6.66 × 104
5000 1.50 8.32 × 104
6000 1.81 9.98 × 104
7000 2.11 1.16 × 105
8000 2.41 1.33 × 105
9000 2.71 1.50 × 105
1.00 × 104 3.01 1.66 × 105
1.78 × 104 5.37 2.97 × 105
Steel I Beam: S8 × 23 (S8 inch tall × 23 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
23.0 0.0219 680
30.0 0.0285 888
40.0 0.0380 1180
50.0 0.0476 1480
60.0 0.0571 1780
70.0 0.0666 2070
80.0 0.0761 2370
90.0 0.0856 2660
100 0.0951 2960
200 0.190 5920
300 0.285 8880
400 0.380 1.18 × 104
500 0.476 1.48 × 104
600 0.571 1.78 × 104
700 0.666 2.07 × 104
800 0.761 2.37 × 104
900 0.856 2.66 × 104
1000 0.951 2.96 × 104
2000 1.90 5.92 × 104
3000 2.85 8.88 × 104
4000 3.80 1.18 × 105
5000 4.76 1.48 × 105
6000 5.71 1.78 × 105
7000 6.66 2.07 × 105
8000 7.61 2.37 × 105
8410 8.00 2.49 × 105
Steel I Beam: S8 × 23 (S8 inch tall × 23 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
23.0 0.0534 1060
30.0 0.0697 1390
40.0 0.0929 1850
50.0 0.116 2310
60.0 0.139 2770
70.0 0.163 3240
80.0 0.186 3700
90.0 0.209 4160
100 0.232 4620
200 0.464 9240
300 0.697 1.39 × 104
400 0.929 1.85 × 104
500 1.16 2.31 × 104
600 1.39 2.77 × 104
700 1.63 3.24 × 104
800 1.86 3.70 × 104
900 2.09 4.16 × 104
1000 2.32 4.62 × 104
2000 4.64 9.24 × 104
3000 6.97 1.39 × 105
3450 8.00 1.59 × 105
Steel I Beam: S8 × 23 (S8 inch tall × 23 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
23.0 0.111 1530
30.0 0.144 2000
40.0 0.193 2660
50.0 0.241 3330
60.0 0.289 3990
70.0 0.337 4660
80.0 0.385 5330
90.0 0.433 5990
100 0.481 6660
200 0.963 1.33 × 104
300 1.44 2.00 × 104
400 1.93 2.66 × 104
500 2.41 3.33 × 104
600 2.89 3.99 × 104
700 3.37 4.66 × 104
800 3.85 5.33 × 104
900 4.33 5.99 × 104
1000 4.81 6.66 × 104
1660 8.00 1.11 × 105
Steel I Beam: S8 × 23 (S8 inch tall × 23 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
23.0 0.350 2720
30.0 0.457 3550
40.0 0.609 4730
50.0 0.761 5920
60.0 0.913 7100
70.0 1.07 8280
80.0 1.22 9470
90.0 1.37 1.07 × 104
100 1.52 1.18 × 104
200 3.04 2.37 × 104
300 4.57 3.55 × 104
400 6.09 4.73 × 104
500 7.61 5.92 × 104
526 8.00 6.22 × 104
Steel I Beam: S8 × 23 (S8 inch tall × 23 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
23.0 0.855 4250
30.0 1.11 5550
40.0 1.49 7400
50.0 1.86 9240
60.0 2.23 1.11 × 104
70.0 2.60 1.29 × 104
80.0 2.97 1.48 × 104
90.0 3.34 1.66 × 104
100 3.72 1.85 × 104
200 7.43 3.70 × 104
215 8.00 3.98 × 104
Steel I Beam: S8 × 23 (S8 inch tall × 23 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
23.0 1.77 6120
30.0 2.31 7990
40.0 3.08 1.07 × 104
50.0 3.85 1.33 × 104
60.0 4.62 1.60 × 104
70.0 5.39 1.86 × 104
80.0 6.16 2.13 × 104
90.0 6.93 2.40 × 104
100 7.70 2.66 × 104
104 8.00 2.76 × 104
Steel I Beam: S8 × 23 (S8 inch tall × 23 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
23.0 3.28 8340
30.0 4.28 1.09 × 104
40.0 5.71 1.45 × 104
50.0 7.14 1.81 × 104
56.1 8.00 2.03 × 104
Steel I Beam: S8 × 23 (S8 inch tall × 23 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
23.0 5.60 1.09 × 104
30.0 7.30 1.42 × 104
32.9 8.00 1.56 × 104
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