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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 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 = 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 1.63 × 10-6 8.27
60.0 1.79 × 10-6 9.07
70.0 2.08 × 10-6 10.6
80.0 2.38 × 10-6 12.1
90.0 2.68 × 10-6 13.6
100 2.98 × 10-6 15.1
200 5.95 × 10-6 30.2
300 8.93 × 10-6 45.3
400 1.19 × 10-5 60.4
500 1.49 × 10-5 75.6
600 1.79 × 10-5 90.7
700 2.08 × 10-5 106
800 2.38 × 10-5 121
900 2.68 × 10-5 136
1000 2.98 × 10-5 151
2000 5.95 × 10-5 302
3000 8.93 × 10-5 453
4000 1.19 × 10-4 604
5000 1.49 × 10-4 756
6000 1.79 × 10-4 907
7000 2.08 × 10-4 1060
8000 2.38 × 10-4 1210
9000 2.68 × 10-4 1360
1.00 × 104 2.98 × 10-4 1510
2.00 × 104 5.95 × 10-4 3020
3.00 × 104 8.93 × 10-4 4530
4.00 × 104 0.00119 6040
5.00 × 104 0.00149 7560
6.00 × 104 0.00179 9070
7.00 × 104 0.00208 1.06 × 104
8.00 × 104 0.00238 1.21 × 104
9.00 × 104 0.00268 1.36 × 104
1.00 × 105 0.00298 1.51 × 104
2.00 × 105 0.00595 3.02 × 104
3.00 × 105 0.00893 4.53 × 104
4.00 × 105 0.0119 6.04 × 104
5.00 × 105 0.0149 7.56 × 104
6.00 × 105 0.0179 9.07 × 104
7.00 × 105 0.0208 1.06 × 105
8.00 × 105 0.0238 1.21 × 105
9.00 × 105 0.0268 1.36 × 105
1.00 × 106 0.0298 1.51 × 105
1.97 × 106 0.0585 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 1.26 × 10-5 23.0
60.0 1.38 × 10-5 25.2
70.0 1.61 × 10-5 29.4
80.0 1.84 × 10-5 33.6
90.0 2.07 × 10-5 37.8
100 2.30 × 10-5 42.0
200 4.59 × 10-5 84.0
300 6.89 × 10-5 126
400 9.19 × 10-5 168
500 1.15 × 10-4 210
600 1.38 × 10-4 252
700 1.61 × 10-4 294
800 1.84 × 10-4 336
900 2.07 × 10-4 378
1000 2.30 × 10-4 420
2000 4.59 × 10-4 840
3000 6.89 × 10-4 1260
4000 9.19 × 10-4 1680
5000 0.00115 2100
6000 0.00138 2520
7000 0.00161 2940
8000 0.00184 3360
9000 0.00207 3780
1.00 × 104 0.00230 4200
2.00 × 104 0.00459 8400
3.00 × 104 0.00689 1.26 × 104
4.00 × 104 0.00919 1.68 × 104
5.00 × 104 0.0115 2.10 × 104
6.00 × 104 0.0138 2.52 × 104
7.00 × 104 0.0161 2.94 × 104
8.00 × 104 0.0184 3.36 × 104
9.00 × 104 0.0207 3.78 × 104
1.00 × 105 0.0230 4.20 × 104
2.00 × 105 0.0459 8.40 × 104
3.00 × 105 0.0689 1.26 × 105
4.00 × 105 0.0919 1.68 × 105
5.00 × 105 0.115 2.10 × 105
6.00 × 105 0.138 2.52 × 105
7.00 × 105 0.161 2.94 × 105
7.08 × 105 0.163 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 2.01 × 10-4 91.8
60.0 2.21 × 10-4 101
70.0 2.57 × 10-4 118
80.0 2.94 × 10-4 134
90.0 3.31 × 10-4 151
100 3.68 × 10-4 168
200 7.35 × 10-4 336
300 0.00110 504
400 0.00147 672
500 0.00184 840
600 0.00221 1010
700 0.00257 1180
800 0.00294 1340
900 0.00331 1510
1000 0.00368 1680
2000 0.00735 3360
3000 0.0110 5040
4000 0.0147 6720
5000 0.0184 8400
6000 0.0221 1.01 × 104
7000 0.0257 1.18 × 104
8000 0.0294 1.34 × 104
9000 0.0331 1.51 × 104
1.00 × 104 0.0368 1.68 × 104
2.00 × 104 0.0735 3.36 × 104
3.00 × 104 0.110 5.04 × 104
4.00 × 104 0.147 6.72 × 104
5.00 × 104 0.184 8.40 × 104
6.00 × 104 0.221 1.01 × 105
7.00 × 104 0.257 1.18 × 105
8.00 × 104 0.294 1.34 × 105
9.00 × 104 0.331 1.51 × 105
1.00 × 105 0.368 1.68 × 105
1.77 × 105 0.650 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 0.00102 207
60.0 0.00112 227
70.0 0.00130 264
80.0 0.00149 302
90.0 0.00167 340
100 0.00186 378
200 0.00372 756
300 0.00558 1130
400 0.00744 1510
500 0.00930 1890
600 0.0112 2270
700 0.0130 2640
800 0.0149 3020
900 0.0167 3400
1000 0.0186 3780
2000 0.0372 7560
3000 0.0558 1.13 × 104
4000 0.0744 1.51 × 104
5000 0.0930 1.89 × 104
6000 0.112 2.27 × 104
7000 0.130 2.64 × 104
8000 0.149 3.02 × 104
9000 0.167 3.40 × 104
1.00 × 104 0.186 3.78 × 104
2.00 × 104 0.372 7.56 × 104
3.00 × 104 0.558 1.13 × 105
4.00 × 104 0.744 1.51 × 105
5.00 × 104 0.930 1.89 × 105
6.00 × 104 1.12 2.27 × 105
7.00 × 104 1.30 2.64 × 105
7.86 × 104 1.46 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 0.00322 367
60.0 0.00353 403
70.0 0.00412 470
80.0 0.00470 537
90.0 0.00529 604
100 0.00588 672
200 0.0118 1340
300 0.0176 2010
400 0.0235 2690
500 0.0294 3360
600 0.0353 4030
700 0.0412 4700
800 0.0470 5370
900 0.0529 6040
1000 0.0588 6720
2000 0.118 1.34 × 104
3000 0.176 2.01 × 104
4000 0.235 2.69 × 104
5000 0.294 3.36 × 104
6000 0.353 4.03 × 104
7000 0.412 4.70 × 104
8000 0.470 5.37 × 104
9000 0.529 6.04 × 104
1.00 × 104 0.588 6.72 × 104
2.00 × 104 1.18 1.34 × 105
3.00 × 104 1.76 2.01 × 105
4.00 × 104 2.35 2.69 × 105
4.42 × 104 2.60 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 0.00785 574
60.0 0.00861 630
70.0 0.0100 735
80.0 0.0115 840
90.0 0.0129 944
100 0.0144 1050
200 0.0287 2100
300 0.0431 3150
400 0.0574 4200
500 0.0718 5250
600 0.0861 6300
700 0.100 7350
800 0.115 8400
900 0.129 9440
1000 0.144 1.05 × 104
2000 0.287 2.10 × 104
3000 0.431 3.15 × 104
4000 0.574 4.20 × 104
5000 0.718 5.25 × 104
6000 0.861 6.30 × 104
7000 1.00 7.35 × 104
8000 1.15 8.40 × 104
9000 1.29 9.44 × 104
1.00 × 104 1.44 1.05 × 105
2.00 × 104 2.87 2.10 × 105
2.83 × 104 4.06 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 0.0163 827
60.0 0.0179 907
70.0 0.0208 1060
80.0 0.0238 1210
90.0 0.0268 1360
100 0.0298 1510
200 0.0595 3020
300 0.0893 4530
400 0.119 6040
500 0.149 7560
600 0.179 9070
700 0.208 1.06 × 104
800 0.238 1.21 × 104
900 0.268 1.36 × 104
1000 0.298 1.51 × 104
2000 0.595 3.02 × 104
3000 0.893 4.53 × 104
4000 1.19 6.04 × 104
5000 1.49 7.56 × 104
6000 1.79 9.07 × 104
7000 2.08 1.06 × 105
8000 2.38 1.21 × 105
9000 2.68 1.36 × 105
1.00 × 104 2.98 1.51 × 105
1.97 × 104 5.85 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 0.0515 1470
60.0 0.0565 1610
70.0 0.0659 1880
80.0 0.0753 2150
90.0 0.0847 2420
100 0.0941 2690
200 0.188 5370
300 0.282 8060
400 0.376 1.07 × 104
500 0.470 1.34 × 104
600 0.565 1.61 × 104
700 0.659 1.88 × 104
800 0.753 2.15 × 104
900 0.847 2.42 × 104
1000 0.941 2.69 × 104
2000 1.88 5.37 × 104
3000 2.82 8.06 × 104
4000 3.76 1.07 × 105
5000 4.70 1.34 × 105
6000 5.65 1.61 × 105
7000 6.59 1.88 × 105
8000 7.53 2.15 × 105
9000 8.47 2.42 × 105
1.00 × 104 9.41 2.69 × 105
1.11 × 104 10.4 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 0.126 2300
60.0 0.138 2520
70.0 0.161 2940
80.0 0.184 3360
90.0 0.207 3780
100 0.230 4200
200 0.459 8400
300 0.689 1.26 × 104
400 0.919 1.68 × 104
500 1.15 2.10 × 104
600 1.38 2.52 × 104
700 1.61 2.94 × 104
800 1.84 3.36 × 104
900 2.07 3.78 × 104
1000 2.30 4.20 × 104
2000 4.59 8.40 × 104
3000 6.89 1.26 × 105
4000 9.19 1.68 × 105
5000 11.5 2.10 × 105
6000 13.8 2.52 × 105
7000 16.1 2.94 × 105
7080 16.3 2.97 × 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 0.261 3310
60.0 0.286 3630
70.0 0.333 4230
80.0 0.381 4840
90.0 0.429 5440
100 0.476 6040
200 0.953 1.21 × 104
300 1.43 1.81 × 104
400 1.91 2.42 × 104
500 2.38 3.02 × 104
600 2.86 3.63 × 104
700 3.33 4.23 × 104
800 3.81 4.84 × 104
900 4.29 5.44 × 104
1000 4.76 6.04 × 104
2000 9.53 1.21 × 105
3000 14.3 1.81 × 105
3780 18.0 2.28 × 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 0.483 4500
60.0 0.529 4940
70.0 0.618 5760
80.0 0.706 6580
90.0 0.794 7400
100 0.882 8230
200 1.76 1.65 × 104
300 2.65 2.47 × 104
400 3.53 3.29 × 104
500 4.41 4.11 × 104
600 5.29 4.94 × 104
700 6.18 5.76 × 104
800 7.06 6.58 × 104
900 7.94 7.40 × 104
1000 8.82 8.23 × 104
2000 17.6 1.65 × 105
2040 18.0 1.68 × 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 0.823 5880
60.0 0.903 6450
70.0 1.05 7520
80.0 1.20 8600
90.0 1.35 9670
100 1.51 1.07 × 104
200 3.01 2.15 × 104
300 4.52 3.22 × 104
400 6.02 4.30 × 104
500 7.53 5.37 × 104
600 9.03 6.45 × 104
700 10.5 7.52 × 104
800 12.0 8.60 × 104
900 13.5 9.67 × 104
1000 15.1 1.07 × 105
1200 18.0 1.28 × 105
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 1.32 7440
60.0 1.45 8160
70.0 1.69 9520
80.0 1.93 1.09 × 104
90.0 2.17 1.22 × 104
100 2.41 1.36 × 104
200 4.82 2.72 × 104
300 7.23 4.08 × 104
400 9.65 5.44 × 104
500 12.1 6.80 × 104
600 14.5 8.16 × 104
700 16.9 9.52 × 104
746 18.0 1.02 × 105
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 2.01 9180
60.0 2.21 1.01 × 104
70.0 2.57 1.18 × 104
80.0 2.94 1.34 × 104
90.0 3.31 1.51 × 104
100 3.68 1.68 × 104
200 7.35 3.36 × 104
300 11.0 5.04 × 104
400 14.7 6.72 × 104
490 18.0 8.22 × 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 4.91 1.44 × 104
60.0 5.38 1.57 × 104
70.0 6.28 1.84 × 104
80.0 7.18 2.10 × 104
90.0 8.08 2.36 × 104
100 8.97 2.62 × 104
200 17.9 5.25 × 104
201 18.0 5.26 × 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 10.2 2.07 × 104
60.0 11.2 2.27 × 104
70.0 13.0 2.64 × 104
80.0 14.9 3.02 × 104
90.0 16.7 3.40 × 104
96.7 18.0 3.65 × 104
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