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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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 3.03 × 10-5 26.2
20.0 4.11 × 10-5 35.5
30.0 6.17 × 10-5 53.3
40.0 8.22 × 10-5 71.1
50.0 1.03 × 10-4 88.8
60.0 1.23 × 10-4 107
70.0 1.44 × 10-4 124
80.0 1.64 × 10-4 142
90.0 1.85 × 10-4 160
100 2.06 × 10-4 178
200 4.11 × 10-4 355
300 6.17 × 10-4 533
400 8.22 × 10-4 711
500 0.00103 888
600 0.00123 1070
700 0.00144 1240
800 0.00164 1420
900 0.00185 1600
1000 0.00206 1780
2000 0.00411 3550
3000 0.00617 5330
4000 0.00822 7110
5000 0.0103 8880
6000 0.0123 1.07 × 104
7000 0.0144 1.24 × 104
8000 0.0164 1.42 × 104
9000 0.0185 1.60 × 104
1.00 × 104 0.0206 1.78 × 104
2.00 × 104 0.0411 3.55 × 104
3.00 × 104 0.0617 5.33 × 104
4.00 × 104 0.0822 7.11 × 104
5.00 × 104 0.103 8.88 × 104
6.00 × 104 0.123 1.07 × 105
7.00 × 104 0.144 1.24 × 105
8.00 × 104 0.164 1.42 × 105
9.00 × 104 0.185 1.60 × 105
1.00 × 105 0.206 1.78 × 105
1.67 × 105 0.344 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 2.34 × 10-4 72.8
20.0 3.17 × 10-4 98.7
30.0 4.76 × 10-4 148
40.0 6.35 × 10-4 197
50.0 7.93 × 10-4 247
60.0 9.52 × 10-4 296
70.0 0.00111 345
80.0 0.00127 395
90.0 0.00143 444
100 0.00159 493
200 0.00317 987
300 0.00476 1480
400 0.00635 1970
500 0.00793 2470
600 0.00952 2960
700 0.0111 3450
800 0.0127 3950
900 0.0143 4440
1000 0.0159 4930
2000 0.0317 9870
3000 0.0476 1.48 × 104
4000 0.0635 1.97 × 104
5000 0.0793 2.47 × 104
6000 0.0952 2.96 × 104
7000 0.111 3.45 × 104
8000 0.127 3.95 × 104
9000 0.143 4.44 × 104
1.00 × 104 0.159 4.93 × 104
2.00 × 104 0.317 9.87 × 104
3.00 × 104 0.476 1.48 × 105
4.00 × 104 0.635 1.97 × 105
5.00 × 104 0.793 2.47 × 105
6.00 × 104 0.952 2.96 × 105
6.02 × 104 0.955 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 0.00374 291
20.0 0.00508 395
30.0 0.00761 592
40.0 0.0102 789
50.0 0.0127 987
60.0 0.0152 1180
70.0 0.0178 1380
80.0 0.0203 1580
90.0 0.0228 1780
100 0.0254 1970
200 0.0508 3950
300 0.0761 5920
400 0.102 7890
500 0.127 9870
600 0.152 1.18 × 104
700 0.178 1.38 × 104
800 0.203 1.58 × 104
900 0.228 1.78 × 104
1000 0.254 1.97 × 104
2000 0.508 3.95 × 104
3000 0.761 5.92 × 104
4000 1.02 7.89 × 104
5000 1.27 9.87 × 104
6000 1.52 1.18 × 105
7000 1.78 1.38 × 105
8000 2.03 1.58 × 105
9000 2.28 1.78 × 105
1.00 × 104 2.54 1.97 × 105
1.50 × 104 3.82 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 0.0190 655
20.0 0.0257 888
30.0 0.0385 1330
40.0 0.0514 1780
50.0 0.0642 2220
60.0 0.0771 2660
70.0 0.0899 3110
80.0 0.103 3550
90.0 0.116 4000
100 0.128 4440
200 0.257 8880
300 0.385 1.33 × 104
400 0.514 1.78 × 104
500 0.642 2.22 × 104
600 0.771 2.66 × 104
700 0.899 3.11 × 104
800 1.03 3.55 × 104
900 1.16 4.00 × 104
1000 1.28 4.44 × 104
2000 2.57 8.88 × 104
3000 3.85 1.33 × 105
3890 5.00 1.73 × 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 0.0599 1160
20.0 0.0812 1580
30.0 0.122 2370
40.0 0.162 3160
50.0 0.203 3950
60.0 0.244 4740
70.0 0.284 5530
80.0 0.325 6320
90.0 0.365 7110
100 0.406 7890
200 0.812 1.58 × 104
300 1.22 2.37 × 104
400 1.62 3.16 × 104
500 2.03 3.95 × 104
600 2.44 4.74 × 104
700 2.84 5.53 × 104
800 3.25 6.32 × 104
900 3.65 7.11 × 104
1000 4.06 7.89 × 104
1230 5.00 9.72 × 104
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 0.146 1820
20.0 0.198 2470
30.0 0.297 3700
40.0 0.397 4930
50.0 0.496 6170
60.0 0.595 7400
70.0 0.694 8630
80.0 0.793 9870
90.0 0.892 1.11 × 104
100 0.991 1.23 × 104
200 1.98 2.47 × 104
300 2.97 3.70 × 104
400 3.97 4.93 × 104
500 4.96 6.17 × 104
504 5.00 6.22 × 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 0.303 2620
20.0 0.411 3550
30.0 0.617 5330
40.0 0.822 7110
50.0 1.03 8880
60.0 1.23 1.07 × 104
70.0 1.44 1.24 × 104
80.0 1.64 1.42 × 104
90.0 1.85 1.60 × 104
100 2.06 1.78 × 104
200 4.11 3.55 × 104
243 5.00 4.32 × 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 0.958 4660
20.0 1.30 6320
30.0 1.95 9470
40.0 2.60 1.26 × 104
50.0 3.25 1.58 × 104
60.0 3.90 1.89 × 104
70.0 4.55 2.21 × 104
77.0 5.00 2.43 × 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 2.34 7280
20.0 3.17 9870
30.0 4.76 1.48 × 104
31.5 5.00 1.56 × 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 4.85 1.05 × 104
15.2 5.00 1.08 × 104
Additional Information
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