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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » S Section Steel I Beam » S18 × 54.7
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 = 804 in4) for the S18 × 54.7 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
   
Steel I Beam: S18 × 54.7 (S18 inch tall × 54.7 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.7 1.97 × 10-6 7.08
60.0 2.16 × 10-6 7.77
70.0 2.52 × 10-6 9.06
80.0 2.88 × 10-6 10.4
90.0 3.24 × 10-6 11.7
100 3.60 × 10-6 12.9
200 7.20 × 10-6 25.9
300 1.08 × 10-5 38.8
400 1.44 × 10-5 51.8
500 1.80 × 10-5 64.7
600 2.16 × 10-5 77.7
700 2.52 × 10-5 90.6
800 2.88 × 10-5 104
900 3.24 × 10-5 117
1000 3.60 × 10-5 129
2000 7.20 × 10-5 259
3000 1.08 × 10-4 388
4000 1.44 × 10-4 518
5000 1.80 × 10-4 647
6000 2.16 × 10-4 777
7000 2.52 × 10-4 906
8000 2.88 × 10-4 1040
9000 3.24 × 10-4 1170
1.00 × 104 3.60 × 10-4 1290
2.00 × 104 7.20 × 10-4 2590
3.00 × 104 0.00108 3880
4.00 × 104 0.00144 5180
5.00 × 104 0.00180 6470
6.00 × 104 0.00216 7770
7.00 × 104 0.00252 9060
8.00 × 104 0.00288 1.04 × 104
9.00 × 104 0.00324 1.17 × 104
1.00 × 105 0.00360 1.29 × 104
2.00 × 105 0.00720 2.59 × 104
3.00 × 105 0.0108 3.88 × 104
4.00 × 105 0.0144 5.18 × 104
5.00 × 105 0.0180 6.47 × 104
6.00 × 105 0.0216 7.77 × 104
7.00 × 105 0.0252 9.06 × 104
8.00 × 105 0.0288 1.04 × 105
9.00 × 105 0.0324 1.17 × 105
1.00 × 106 0.0360 1.29 × 105
2.00 × 106 0.0720 2.59 × 105
2.29 × 106 0.0826 2.97 × 105
Steel I Beam: S18 × 54.7 (S18 inch tall × 54.7 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.7 1.52 × 10-5 19.7
60.0 1.67 × 10-5 21.6
70.0 1.94 × 10-5 25.2
80.0 2.22 × 10-5 28.8
90.0 2.50 × 10-5 32.4
100 2.78 × 10-5 36.0
200 5.56 × 10-5 71.9
300 8.34 × 10-5 108
400 1.11 × 10-4 144
500 1.39 × 10-4 180
600 1.67 × 10-4 216
700 1.94 × 10-4 252
800 2.22 × 10-4 288
900 2.50 × 10-4 324
1000 2.78 × 10-4 360
2000 5.56 × 10-4 719
3000 8.34 × 10-4 1080
4000 0.00111 1440
5000 0.00139 1800
6000 0.00167 2160
7000 0.00194 2520
8000 0.00222 2880
9000 0.00250 3240
1.00 × 104 0.00278 3600
2.00 × 104 0.00556 7190
3.00 × 104 0.00834 1.08 × 104
4.00 × 104 0.0111 1.44 × 104
5.00 × 104 0.0139 1.80 × 104
6.00 × 104 0.0167 2.16 × 104
7.00 × 104 0.0194 2.52 × 104
8.00 × 104 0.0222 2.88 × 104
9.00 × 104 0.0250 3.24 × 104
1.00 × 105 0.0278 3.60 × 104
2.00 × 105 0.0556 7.19 × 104
3.00 × 105 0.0834 1.08 × 105
4.00 × 105 0.111 1.44 × 105
5.00 × 105 0.139 1.80 × 105
6.00 × 105 0.167 2.16 × 105
7.00 × 105 0.194 2.52 × 105
8.00 × 105 0.222 2.88 × 105
8.26 × 105 0.229 2.97 × 105
Steel I Beam: S18 × 54.7 (S18 inch tall × 54.7 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.7 2.43 × 10-4 78.7
60.0 2.67 × 10-4 86.3
70.0 3.11 × 10-4 101
80.0 3.56 × 10-4 115
90.0 4.00 × 10-4 129
100 4.45 × 10-4 144
200 8.89 × 10-4 288
300 0.00133 432
400 0.00178 575
500 0.00222 719
600 0.00267 863
700 0.00311 1010
800 0.00356 1150
900 0.00400 1290
1000 0.00445 1440
2000 0.00889 2880
3000 0.0133 4320
4000 0.0178 5750
5000 0.0222 7190
6000 0.0267 8630
7000 0.0311 1.01 × 104
8000 0.0356 1.15 × 104
9000 0.0400 1.29 × 104
1.00 × 104 0.0445 1.44 × 104
2.00 × 104 0.0889 2.88 × 104
3.00 × 104 0.133 4.32 × 104
4.00 × 104 0.178 5.75 × 104
5.00 × 104 0.222 7.19 × 104
6.00 × 104 0.267 8.63 × 104
7.00 × 104 0.311 1.01 × 105
8.00 × 104 0.356 1.15 × 105
9.00 × 104 0.400 1.29 × 105
1.00 × 105 0.445 1.44 × 105
2.00 × 105 0.889 2.88 × 105
2.06 × 105 0.918 2.97 × 105
Steel I Beam: S18 × 54.7 (S18 inch tall × 54.7 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.7 0.00123 177
60.0 0.00135 194
70.0 0.00158 227
80.0 0.00180 259
90.0 0.00203 291
100 0.00225 324
200 0.00450 647
300 0.00675 971
400 0.00900 1290
500 0.0113 1620
600 0.0135 1940
700 0.0158 2270
800 0.0180 2590
900 0.0203 2910
1000 0.0225 3240
2000 0.0450 6470
3000 0.0675 9710
4000 0.0900 1.29 × 104
5000 0.113 1.62 × 104
6000 0.135 1.94 × 104
7000 0.158 2.27 × 104
8000 0.180 2.59 × 104
9000 0.203 2.91 × 104
1.00 × 104 0.225 3.24 × 104
2.00 × 104 0.450 6.47 × 104
3.00 × 104 0.675 9.71 × 104
4.00 × 104 0.900 1.29 × 105
5.00 × 104 1.13 1.62 × 105
6.00 × 104 1.35 1.94 × 105
7.00 × 104 1.58 2.27 × 105
8.00 × 104 1.80 2.59 × 105
9.00 × 104 2.03 2.91 × 105
9.18 × 104 2.07 2.97 × 105
Steel I Beam: S18 × 54.7 (S18 inch tall × 54.7 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.7 0.00389 315
60.0 0.00427 345
70.0 0.00498 403
80.0 0.00569 460
90.0 0.00640 518
100 0.00711 575
200 0.0142 1150
300 0.0213 1730
400 0.0285 2300
500 0.0356 2880
600 0.0427 3450
700 0.0498 4030
800 0.0569 4600
900 0.0640 5180
1000 0.0711 5750
2000 0.142 1.15 × 104
3000 0.213 1.73 × 104
4000 0.285 2.30 × 104
5000 0.356 2.88 × 104
6000 0.427 3.45 × 104
7000 0.498 4.03 × 104
8000 0.569 4.60 × 104
9000 0.640 5.18 × 104
1.00 × 104 0.711 5.75 × 104
2.00 × 104 1.42 1.15 × 105
3.00 × 104 2.13 1.73 × 105
4.00 × 104 2.85 2.30 × 105
5.00 × 104 3.56 2.88 × 105
5.16 × 104 3.67 2.97 × 105
Steel I Beam: S18 × 54.7 (S18 inch tall × 54.7 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.7 0.00950 492
60.0 0.0104 539
70.0 0.0122 629
80.0 0.0139 719
90.0 0.0156 809
100 0.0174 899
200 0.0347 1800
300 0.0521 2700
400 0.0695 3600
500 0.0868 4500
600 0.104 5390
700 0.122 6290
800 0.139 7190
900 0.156 8090
1000 0.174 8990
2000 0.347 1.80 × 104
3000 0.521 2.70 × 104
4000 0.695 3.60 × 104
5000 0.868 4.50 × 104
6000 1.04 5.39 × 104
7000 1.22 6.29 × 104
8000 1.39 7.19 × 104
9000 1.56 8.09 × 104
1.00 × 104 1.74 8.99 × 104
2.00 × 104 3.47 1.80 × 105
3.00 × 104 5.21 2.70 × 105
3.30 × 104 5.74 2.97 × 105
Steel I Beam: S18 × 54.7 (S18 inch tall × 54.7 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.7 0.0197 708
60.0 0.0216 777
70.0 0.0252 906
80.0 0.0288 1040
90.0 0.0324 1170
100 0.0360 1290
200 0.0720 2590
300 0.108 3880
400 0.144 5180
500 0.180 6470
600 0.216 7770
700 0.252 9060
800 0.288 1.04 × 104
900 0.324 1.17 × 104
1000 0.360 1.29 × 104
2000 0.720 2.59 × 104
3000 1.08 3.88 × 104
4000 1.44 5.18 × 104
5000 1.80 6.47 × 104
6000 2.16 7.77 × 104
7000 2.52 9.06 × 104
8000 2.88 1.04 × 105
9000 3.24 1.17 × 105
1.00 × 104 3.60 1.29 × 105
2.00 × 104 7.20 2.59 × 105
2.29 × 104 8.26 2.97 × 105
Steel I Beam: S18 × 54.7 (S18 inch tall × 54.7 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.7 0.0623 1260
60.0 0.0683 1380
70.0 0.0797 1610
80.0 0.0910 1840
90.0 0.102 2070
100 0.114 2300
200 0.228 4600
300 0.341 6910
400 0.455 9210
500 0.569 1.15 × 104
600 0.683 1.38 × 104
700 0.797 1.61 × 104
800 0.910 1.84 × 104
900 1.02 2.07 × 104
1000 1.14 2.30 × 104
2000 2.28 4.60 × 104
3000 3.41 6.91 × 104
4000 4.55 9.21 × 104
5000 5.69 1.15 × 105
6000 6.83 1.38 × 105
7000 7.97 1.61 × 105
8000 9.10 1.84 × 105
9000 10.2 2.07 × 105
1.00 × 104 11.4 2.30 × 105
1.29 × 104 14.7 2.97 × 105
Steel I Beam: S18 × 54.7 (S18 inch tall × 54.7 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.7 0.152 1970
60.0 0.167 2160
70.0 0.194 2520
80.0 0.222 2880
90.0 0.250 3240
100 0.278 3600
200 0.556 7190
300 0.834 1.08 × 104
400 1.11 1.44 × 104
500 1.39 1.80 × 104
600 1.67 2.16 × 104
700 1.94 2.52 × 104
800 2.22 2.88 × 104
900 2.50 3.24 × 104
1000 2.78 3.60 × 104
2000 5.56 7.19 × 104
3000 8.34 1.08 × 105
4000 11.1 1.44 × 105
5000 13.9 1.80 × 105
6000 16.7 2.16 × 105
6480 18.0 2.33 × 105
Steel I Beam: S18 × 54.7 (S18 inch tall × 54.7 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.7 0.315 2830
60.0 0.346 3110
70.0 0.403 3630
80.0 0.461 4140
90.0 0.519 4660
100 0.576 5180
200 1.15 1.04 × 104
300 1.73 1.55 × 104
400 2.30 2.07 × 104
500 2.88 2.59 × 104
600 3.46 3.11 × 104
700 4.03 3.63 × 104
800 4.61 4.14 × 104
900 5.19 4.66 × 104
1000 5.76 5.18 × 104
2000 11.5 1.04 × 105
3000 17.3 1.55 × 105
3120 18.0 1.62 × 105
Steel I Beam: S18 × 54.7 (S18 inch tall × 54.7 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.7 0.584 3860
60.0 0.640 4230
70.0 0.747 4930
80.0 0.854 5640
90.0 0.961 6340
100 1.07 7050
200 2.13 1.41 × 104
300 3.20 2.11 × 104
400 4.27 2.82 × 104
500 5.34 3.52 × 104
600 6.40 4.23 × 104
700 7.47 4.93 × 104
800 8.54 5.64 × 104
900 9.61 6.34 × 104
1000 10.7 7.05 × 104
1690 18.0 1.19 × 105
Steel I Beam: S18 × 54.7 (S18 inch tall × 54.7 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.7 0.996 5040
60.0 1.09 5520
70.0 1.27 6450
80.0 1.46 7370
90.0 1.64 8290
100 1.82 9210
200 3.64 1.84 × 104
300 5.46 2.76 × 104
400 7.28 3.68 × 104
500 9.10 4.60 × 104
600 10.9 5.52 × 104
700 12.7 6.45 × 104
800 14.6 7.37 × 104
900 16.4 8.29 × 104
989 18.0 9.10 × 104
Steel I Beam: S18 × 54.7 (S18 inch tall × 54.7 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.7 1.60 6370
60.0 1.75 6990
70.0 2.04 8160
80.0 2.33 9320
90.0 2.63 1.05 × 104
100 2.92 1.17 × 104
200 5.83 2.33 × 104
300 8.75 3.50 × 104
400 11.7 4.66 × 104
500 14.6 5.83 × 104
600 17.5 6.99 × 104
617 18.0 7.19 × 104
Steel I Beam: S18 × 54.7 (S18 inch tall × 54.7 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.7 2.43 7870
60.0 2.67 8630
70.0 3.11 1.01 × 104
80.0 3.56 1.15 × 104
90.0 4.00 1.29 × 104
100 4.45 1.44 × 104
200 8.89 2.88 × 104
300 13.3 4.32 × 104
400 17.8 5.75 × 104
405 18.0 5.83 × 104
Steel I Beam: S18 × 54.7 (S18 inch tall × 54.7 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.7 5.94 1.23 × 104
60.0 6.51 1.35 × 104
70.0 7.60 1.57 × 104
80.0 8.68 1.80 × 104
90.0 9.77 2.02 × 104
100 10.9 2.25 × 104
166 18.0 3.73 × 104
Steel I Beam: S18 × 54.7 (S18 inch tall × 54.7 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
54.7 12.3 1.77 × 104
60.0 13.5 1.94 × 104
70.0 15.8 2.27 × 104
80.0 18.0 2.59 × 104
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