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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » S Section Steel I Beam » S5 × 14.75
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 = 15.2 in4) for the S5 × 14.75 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
   
Steel I Beam: S5 × 14.75 (S5 inch tall × 14.75 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
14.8 2.81 × 10-5 28.1
20.0 3.81 × 10-5 38.0
30.0 5.71 × 10-5 57.1
40.0 7.62 × 10-5 76.1
50.0 9.52 × 10-5 95.1
60.0 1.14 × 10-4 114
70.0 1.33 × 10-4 133
80.0 1.52 × 10-4 152
90.0 1.71 × 10-4 171
100 1.90 × 10-4 190
200 3.81 × 10-4 380
300 5.71 × 10-4 571
400 7.62 × 10-4 761
500 9.52 × 10-4 951
600 0.00114 1140
700 0.00133 1330
800 0.00152 1520
900 0.00171 1710
1000 0.00190 1900
2000 0.00381 3800
3000 0.00571 5710
4000 0.00762 7610
5000 0.00952 9510
6000 0.0114 1.14 × 104
7000 0.0133 1.33 × 104
8000 0.0152 1.52 × 104
9000 0.0171 1.71 × 104
1.00 × 104 0.0190 1.90 × 104
2.00 × 104 0.0381 3.80 × 104
3.00 × 104 0.0571 5.71 × 104
4.00 × 104 0.0762 7.61 × 104
5.00 × 104 0.0952 9.51 × 104
6.00 × 104 0.114 1.14 × 105
7.00 × 104 0.133 1.33 × 105
8.00 × 104 0.152 1.52 × 105
9.00 × 104 0.171 1.71 × 105
1.00 × 105 0.190 1.90 × 105
1.56 × 105 0.297 2.97 × 105
Steel I Beam: S5 × 14.75 (S5 inch tall × 14.75 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
14.8 2.17 × 10-4 77.9
20.0 2.94 × 10-4 106
30.0 4.41 × 10-4 159
40.0 5.88 × 10-4 211
50.0 7.35 × 10-4 264
60.0 8.82 × 10-4 317
70.0 0.00103 370
80.0 0.00118 423
90.0 0.00132 476
100 0.00147 528
200 0.00294 1060
300 0.00441 1590
400 0.00588 2110
500 0.00735 2640
600 0.00882 3170
700 0.0103 3700
800 0.0118 4230
900 0.0132 4760
1000 0.0147 5280
2000 0.0294 1.06 × 104
3000 0.0441 1.59 × 104
4000 0.0588 2.11 × 104
5000 0.0735 2.64 × 104
6000 0.0882 3.17 × 104
7000 0.103 3.70 × 104
8000 0.118 4.23 × 104
9000 0.132 4.76 × 104
1.00 × 104 0.147 5.28 × 104
2.00 × 104 0.294 1.06 × 105
3.00 × 104 0.441 1.59 × 105
4.00 × 104 0.588 2.11 × 105
5.00 × 104 0.735 2.64 × 105
5.62 × 104 0.826 2.97 × 105
Steel I Beam: S5 × 14.75 (S5 inch tall × 14.75 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
14.8 0.00347 312
20.0 0.00470 423
30.0 0.00705 634
40.0 0.00941 846
50.0 0.0118 1060
60.0 0.0141 1270
70.0 0.0165 1480
80.0 0.0188 1690
90.0 0.0212 1900
100 0.0235 2110
200 0.0470 4230
300 0.0705 6340
400 0.0941 8460
500 0.118 1.06 × 104
600 0.141 1.27 × 104
700 0.165 1.48 × 104
800 0.188 1.69 × 104
900 0.212 1.90 × 104
1000 0.235 2.11 × 104
2000 0.470 4.23 × 104
3000 0.705 6.34 × 104
4000 0.941 8.46 × 104
5000 1.18 1.06 × 105
6000 1.41 1.27 × 105
7000 1.65 1.48 × 105
8000 1.88 1.69 × 105
9000 2.12 1.90 × 105
1.00 × 104 2.35 2.11 × 105
1.41 × 104 3.30 2.97 × 105
Steel I Beam: S5 × 14.75 (S5 inch tall × 14.75 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
14.8 0.0176 702
20.0 0.0238 951
30.0 0.0357 1430
40.0 0.0476 1900
50.0 0.0595 2380
60.0 0.0714 2850
70.0 0.0833 3330
80.0 0.0952 3800
90.0 0.107 4280
100 0.119 4760
200 0.238 9510
300 0.357 1.43 × 104
400 0.476 1.90 × 104
500 0.595 2.38 × 104
600 0.714 2.85 × 104
700 0.833 3.33 × 104
800 0.952 3.80 × 104
900 1.07 4.28 × 104
1000 1.19 4.76 × 104
2000 2.38 9.51 × 104
3000 3.57 1.43 × 105
4000 4.76 1.90 × 105
4200 5.00 2.00 × 105
Steel I Beam: S5 × 14.75 (S5 inch tall × 14.75 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
14.8 0.0555 1250
20.0 0.0752 1690
30.0 0.113 2540
40.0 0.150 3380
50.0 0.188 4230
60.0 0.226 5070
70.0 0.263 5920
80.0 0.301 6760
90.0 0.339 7610
100 0.376 8460
200 0.752 1.69 × 104
300 1.13 2.54 × 104
400 1.50 3.38 × 104
500 1.88 4.23 × 104
600 2.26 5.07 × 104
700 2.63 5.92 × 104
800 3.01 6.76 × 104
900 3.39 7.61 × 104
1000 3.76 8.46 × 104
1330 5.00 1.12 × 105
Steel I Beam: S5 × 14.75 (S5 inch tall × 14.75 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
14.8 0.135 1950
20.0 0.184 2640
30.0 0.276 3960
40.0 0.367 5280
50.0 0.459 6610
60.0 0.551 7930
70.0 0.643 9250
80.0 0.735 1.06 × 104
90.0 0.827 1.19 × 104
100 0.919 1.32 × 104
200 1.84 2.64 × 104
300 2.76 3.96 × 104
400 3.67 5.28 × 104
500 4.59 6.61 × 104
544 5.00 7.19 × 104
Steel I Beam: S5 × 14.75 (S5 inch tall × 14.75 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
14.8 0.281 2810
20.0 0.381 3800
30.0 0.571 5710
40.0 0.762 7610
50.0 0.952 9510
60.0 1.14 1.14 × 104
70.0 1.33 1.33 × 104
80.0 1.52 1.52 × 104
90.0 1.71 1.71 × 104
100 1.90 1.90 × 104
200 3.81 3.80 × 104
263 5.00 4.99 × 104
Steel I Beam: S5 × 14.75 (S5 inch tall × 14.75 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
14.8 0.888 4990
20.0 1.20 6760
30.0 1.81 1.01 × 104
40.0 2.41 1.35 × 104
50.0 3.01 1.69 × 104
60.0 3.61 2.03 × 104
70.0 4.21 2.37 × 104
80.0 4.82 2.71 × 104
83.1 5.00 2.81 × 104
Steel I Beam: S5 × 14.75 (S5 inch tall × 14.75 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
14.8 2.17 7790
20.0 2.94 1.06 × 104
30.0 4.41 1.59 × 104
34.0 5.00 1.80 × 104
Steel I Beam: S5 × 14.75 (S5 inch tall × 14.75 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
14.8 4.50 1.12 × 104
16.4 5.00 1.25 × 104
Additional Information
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