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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 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 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.

 Steel I Beam: S18 × 54.7 (S18 inch tall × 54.7 lbf/ft) L = 3.00 ft (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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 (lbf/ft) (in) (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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