engineering fundamentals
S Section Steel I Beam: S5 × 14.75
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 two equal spans, we compute the displacement at the middle of each span w_mid and the maximum normal stress stress_max occuring at the center support 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 2.32 × 10-5 32.8
20.0 3.15 × 10-5 44.4
30.0 4.72 × 10-5 66.6
40.0 6.30 × 10-5 88.8
50.0 7.87 × 10-5 111
60.0 9.45 × 10-5 133
70.0 1.10 × 10-4 155
80.0 1.26 × 10-4 178
90.0 1.42 × 10-4 200
100 1.57 × 10-4 222
200 3.15 × 10-4 444
300 4.72 × 10-4 666
400 6.30 × 10-4 888
500 7.87 × 10-4 1110
600 9.45 × 10-4 1330
700 0.00110 1550
800 0.00126 1780
900 0.00142 2000
1000 0.00157 2220
2000 0.00315 4440
3000 0.00472 6660
4000 0.00630 8880
5000 0.00787 1.11 × 104
6000 0.00945 1.33 × 104
7000 0.0110 1.55 × 104
8000 0.0126 1.78 × 104
9000 0.0142 2.00 × 104
1.00 × 104 0.0157 2.22 × 104
2.00 × 104 0.0315 4.44 × 104
3.00 × 104 0.0472 6.66 × 104
4.00 × 104 0.0630 8.88 × 104
5.00 × 104 0.0787 1.11 × 105
6.00 × 104 0.0945 1.33 × 105
7.00 × 104 0.110 1.55 × 105
8.00 × 104 0.126 1.78 × 105
9.00 × 104 0.142 2.00 × 105
1.00 × 105 0.157 2.22 × 105
1.34 × 105 0.211 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 1.79 × 10-4 91.0
20.0 2.43 × 10-4 123
30.0 3.65 × 10-4 185
40.0 4.86 × 10-4 247
50.0 6.08 × 10-4 308
60.0 7.29 × 10-4 370
70.0 8.51 × 10-4 432
80.0 9.72 × 10-4 493
90.0 0.00109 555
100 0.00122 617
200 0.00243 1230
300 0.00365 1850
400 0.00486 2470
500 0.00608 3080
600 0.00729 3700
700 0.00851 4320
800 0.00972 4930
900 0.0109 5550
1000 0.0122 6170
2000 0.0243 1.23 × 104
3000 0.0365 1.85 × 104
4000 0.0486 2.47 × 104
5000 0.0608 3.08 × 104
6000 0.0729 3.70 × 104
7000 0.0851 4.32 × 104
8000 0.0972 4.93 × 104
9000 0.109 5.55 × 104
1.00 × 104 0.122 6.17 × 104
2.00 × 104 0.243 1.23 × 105
3.00 × 104 0.365 1.85 × 105
4.00 × 104 0.486 2.47 × 105
4.82 × 104 0.585 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 0.00287 364
20.0 0.00389 493
30.0 0.00583 740
40.0 0.00778 987
50.0 0.00972 1230
60.0 0.0117 1480
70.0 0.0136 1730
80.0 0.0156 1970
90.0 0.0175 2220
100 0.0194 2470
200 0.0389 4930
300 0.0583 7400
400 0.0778 9870
500 0.0972 1.23 × 104
600 0.117 1.48 × 104
700 0.136 1.73 × 104
800 0.156 1.97 × 104
900 0.175 2.22 × 104
1000 0.194 2.47 × 104
2000 0.389 4.93 × 104
3000 0.583 7.40 × 104
4000 0.778 9.87 × 104
5000 0.972 1.23 × 105
6000 1.17 1.48 × 105
7000 1.36 1.73 × 105
8000 1.56 1.97 × 105
9000 1.75 2.22 × 105
1.00 × 104 1.94 2.47 × 105
1.20 × 104 2.34 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 0.0145 819
20.0 0.0197 1110
30.0 0.0295 1670
40.0 0.0394 2220
50.0 0.0492 2780
60.0 0.0590 3330
70.0 0.0689 3890
80.0 0.0787 4440
90.0 0.0886 5000
100 0.0984 5550
200 0.197 1.11 × 104
300 0.295 1.67 × 104
400 0.394 2.22 × 104
500 0.492 2.78 × 104
600 0.590 3.33 × 104
700 0.689 3.89 × 104
800 0.787 4.44 × 104
900 0.886 5.00 × 104
1000 0.984 5.55 × 104
2000 1.97 1.11 × 105
3000 2.95 1.67 × 105
4000 3.94 2.22 × 105
5000 4.92 2.78 × 105
5350 5.27 2.97 × 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 0.0459 1460
20.0 0.0622 1970
30.0 0.0933 2960
40.0 0.124 3950
50.0 0.156 4930
60.0 0.187 5920
70.0 0.218 6910
80.0 0.249 7890
90.0 0.280 8880
100 0.311 9870
200 0.622 1.97 × 104
300 0.933 2.96 × 104
400 1.24 3.95 × 104
500 1.56 4.93 × 104
600 1.87 5.92 × 104
700 2.18 6.91 × 104
800 2.49 7.89 × 104
900 2.80 8.88 × 104
1000 3.11 9.87 × 104
1610 5.00 1.59 × 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 0.112 2270
20.0 0.152 3080
30.0 0.228 4630
40.0 0.304 6170
50.0 0.380 7710
60.0 0.456 9250
70.0 0.532 1.08 × 104
80.0 0.608 1.23 × 104
90.0 0.683 1.39 × 104
100 0.759 1.54 × 104
200 1.52 3.08 × 104
300 2.28 4.63 × 104
400 3.04 6.17 × 104
500 3.80 7.71 × 104
600 4.56 9.25 × 104
658 5.00 1.02 × 105
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 0.232 3280
20.0 0.315 4440
30.0 0.472 6660
40.0 0.630 8880
50.0 0.787 1.11 × 104
60.0 0.945 1.33 × 104
70.0 1.10 1.55 × 104
80.0 1.26 1.78 × 104
90.0 1.42 2.00 × 104
100 1.57 2.22 × 104
200 3.15 4.44 × 104
300 4.72 6.66 × 104
318 5.00 7.05 × 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 0.734 5820
20.0 0.995 7890
30.0 1.49 1.18 × 104
40.0 1.99 1.58 × 104
50.0 2.49 1.97 × 104
60.0 2.99 2.37 × 104
70.0 3.48 2.76 × 104
80.0 3.98 3.16 × 104
90.0 4.48 3.55 × 104
100 4.98 3.95 × 104
100 5.00 3.97 × 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 1.79 9100
20.0 2.43 1.23 × 104
30.0 3.65 1.85 × 104
40.0 4.86 2.47 × 104
41.2 5.00 2.54 × 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 3.72 1.31 × 104
19.8 5.00 1.76 × 104
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