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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » S Section Steel I Beam » S20 × 66
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 = 1190 in4) for the S20 × 66 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: S20 × 66 (S20 inch tall × 66 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
66.0 1.61 × 10-6 6.42
70.0 1.70 × 10-6 6.80
80.0 1.95 × 10-6 7.78
90.0 2.19 × 10-6 8.75
100 2.43 × 10-6 9.72
200 4.87 × 10-6 19.4
300 7.30 × 10-6 29.2
400 9.73 × 10-6 38.9
500 1.22 × 10-5 48.6
600 1.46 × 10-5 58.3
700 1.70 × 10-5 68.0
800 1.95 × 10-5 77.8
900 2.19 × 10-5 87.5
1000 2.43 × 10-5 97.2
2000 4.87 × 10-5 194
3000 7.30 × 10-5 292
4000 9.73 × 10-5 389
5000 1.22 × 10-4 486
6000 1.46 × 10-4 583
7000 1.70 × 10-4 680
8000 1.95 × 10-4 778
9000 2.19 × 10-4 875
1.00 × 104 2.43 × 10-4 972
2.00 × 104 4.87 × 10-4 1940
3.00 × 104 7.30 × 10-4 2920
4.00 × 104 9.73 × 10-4 3890
5.00 × 104 0.00122 4860
6.00 × 104 0.00146 5830
7.00 × 104 0.00170 6800
8.00 × 104 0.00195 7780
9.00 × 104 0.00219 8750
1.00 × 105 0.00243 9720
2.00 × 105 0.00487 1.94 × 104
3.00 × 105 0.00730 2.92 × 104
4.00 × 105 0.00973 3.89 × 104
5.00 × 105 0.0122 4.86 × 104
6.00 × 105 0.0146 5.83 × 104
7.00 × 105 0.0170 6.80 × 104
8.00 × 105 0.0195 7.78 × 104
9.00 × 105 0.0219 8.75 × 104
1.00 × 106 0.0243 9.72 × 104
2.00 × 106 0.0487 1.94 × 105
3.00 × 106 0.0730 2.92 × 105
3.06 × 106 0.0743 2.97 × 105
Steel I Beam: S20 × 66 (S20 inch tall × 66 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
66.0 1.24 × 10-5 17.8
70.0 1.31 × 10-5 18.9
80.0 1.50 × 10-5 21.6
90.0 1.69 × 10-5 24.3
100 1.88 × 10-5 27.0
200 3.75 × 10-5 54.0
300 5.63 × 10-5 81.0
400 7.51 × 10-5 108
500 9.39 × 10-5 135
600 1.13 × 10-4 162
700 1.31 × 10-4 189
800 1.50 × 10-4 216
900 1.69 × 10-4 243
1000 1.88 × 10-4 270
2000 3.75 × 10-4 540
3000 5.63 × 10-4 810
4000 7.51 × 10-4 1080
5000 9.39 × 10-4 1350
6000 0.00113 1620
7000 0.00131 1890
8000 0.00150 2160
9000 0.00169 2430
1.00 × 104 0.00188 2700
2.00 × 104 0.00375 5400
3.00 × 104 0.00563 8100
4.00 × 104 0.00751 1.08 × 104
5.00 × 104 0.00939 1.35 × 104
6.00 × 104 0.0113 1.62 × 104
7.00 × 104 0.0131 1.89 × 104
8.00 × 104 0.0150 2.16 × 104
9.00 × 104 0.0169 2.43 × 104
1.00 × 105 0.0188 2.70 × 104
2.00 × 105 0.0375 5.40 × 104
3.00 × 105 0.0563 8.10 × 104
4.00 × 105 0.0751 1.08 × 105
5.00 × 105 0.0939 1.35 × 105
6.00 × 105 0.113 1.62 × 105
7.00 × 105 0.131 1.89 × 105
8.00 × 105 0.150 2.16 × 105
9.00 × 105 0.169 2.43 × 105
1.00 × 106 0.188 2.70 × 105
1.10 × 106 0.207 2.97 × 105
Steel I Beam: S20 × 66 (S20 inch tall × 66 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
66.0 1.98 × 10-4 71.3
70.0 2.10 × 10-4 75.6
80.0 2.40 × 10-4 86.4
90.0 2.70 × 10-4 97.2
100 3.00 × 10-4 108
200 6.01 × 10-4 216
300 9.01 × 10-4 324
400 0.00120 432
500 0.00150 540
600 0.00180 648
700 0.00210 756
800 0.00240 864
900 0.00270 972
1000 0.00300 1080
2000 0.00601 2160
3000 0.00901 3240
4000 0.0120 4320
5000 0.0150 5400
6000 0.0180 6480
7000 0.0210 7560
8000 0.0240 8640
9000 0.0270 9720
1.00 × 104 0.0300 1.08 × 104
2.00 × 104 0.0601 2.16 × 104
3.00 × 104 0.0901 3.24 × 104
4.00 × 104 0.120 4.32 × 104
5.00 × 104 0.150 5.40 × 104
6.00 × 104 0.180 6.48 × 104
7.00 × 104 0.210 7.56 × 104
8.00 × 104 0.240 8.64 × 104
9.00 × 104 0.270 9.72 × 104
1.00 × 105 0.300 1.08 × 105
2.00 × 105 0.601 2.16 × 105
2.75 × 105 0.826 2.97 × 105
Steel I Beam: S20 × 66 (S20 inch tall × 66 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
66.0 0.00100 160
70.0 0.00106 170
80.0 0.00122 194
90.0 0.00137 219
100 0.00152 243
200 0.00304 486
300 0.00456 729
400 0.00608 972
500 0.00760 1210
600 0.00912 1460
700 0.0106 1700
800 0.0122 1940
900 0.0137 2190
1000 0.0152 2430
2000 0.0304 4860
3000 0.0456 7290
4000 0.0608 9720
5000 0.0760 1.22 × 104
6000 0.0912 1.46 × 104
7000 0.106 1.70 × 104
8000 0.122 1.94 × 104
9000 0.137 2.19 × 104
1.00 × 104 0.152 2.43 × 104
2.00 × 104 0.304 4.86 × 104
3.00 × 104 0.456 7.29 × 104
4.00 × 104 0.608 9.72 × 104
5.00 × 104 0.760 1.22 × 105
6.00 × 104 0.912 1.46 × 105
7.00 × 104 1.06 1.70 × 105
8.00 × 104 1.22 1.94 × 105
9.00 × 104 1.37 2.19 × 105
1.00 × 105 1.52 2.43 × 105
1.22 × 105 1.86 2.97 × 105
Steel I Beam: S20 × 66 (S20 inch tall × 66 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
66.0 0.00317 285
70.0 0.00336 302
80.0 0.00384 346
90.0 0.00433 389
100 0.00481 432
200 0.00961 864
300 0.0144 1300
400 0.0192 1730
500 0.0240 2160
600 0.0288 2590
700 0.0336 3020
800 0.0384 3460
900 0.0433 3890
1000 0.0481 4320
2000 0.0961 8640
3000 0.144 1.30 × 104
4000 0.192 1.73 × 104
5000 0.240 2.16 × 104
6000 0.288 2.59 × 104
7000 0.336 3.02 × 104
8000 0.384 3.46 × 104
9000 0.433 3.89 × 104
1.00 × 104 0.481 4.32 × 104
2.00 × 104 0.961 8.64 × 104
3.00 × 104 1.44 1.30 × 105
4.00 × 104 1.92 1.73 × 105
5.00 × 104 2.40 2.16 × 105
6.00 × 104 2.88 2.59 × 105
6.88 × 104 3.30 2.97 × 105
Steel I Beam: S20 × 66 (S20 inch tall × 66 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
66.0 0.00774 446
70.0 0.00821 473
80.0 0.00939 540
90.0 0.0106 608
100 0.0117 675
200 0.0235 1350
300 0.0352 2030
400 0.0469 2700
500 0.0587 3370
600 0.0704 4050
700 0.0821 4730
800 0.0939 5400
900 0.106 6080
1000 0.117 6750
2000 0.235 1.35 × 104
3000 0.352 2.03 × 104
4000 0.469 2.70 × 104
5000 0.587 3.38 × 104
6000 0.704 4.05 × 104
7000 0.821 4.73 × 104
8000 0.939 5.40 × 104
9000 1.06 6.08 × 104
1.00 × 104 1.17 6.75 × 104
2.00 × 104 2.35 1.35 × 105
3.00 × 104 3.52 2.03 × 105
4.00 × 104 4.69 2.70 × 105
4.40 × 104 5.16 2.97 × 105
Steel I Beam: S20 × 66 (S20 inch tall × 66 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
66.0 0.0161 642
70.0 0.0170 680
80.0 0.0195 778
90.0 0.0219 875
100 0.0243 972
200 0.0487 1940
300 0.0730 2920
400 0.0973 3890
500 0.122 4860
600 0.146 5830
700 0.170 6800
800 0.195 7780
900 0.219 8750
1000 0.243 9720
2000 0.487 1.94 × 104
3000 0.730 2.92 × 104
4000 0.973 3.89 × 104
5000 1.22 4.86 × 104
6000 1.46 5.83 × 104
7000 1.70 6.80 × 104
8000 1.95 7.78 × 104
9000 2.19 8.75 × 104
1.00 × 104 2.43 9.72 × 104
2.00 × 104 4.87 1.94 × 105
3.00 × 104 7.30 2.92 × 105
3.06 × 104 7.43 2.97 × 105
Steel I Beam: S20 × 66 (S20 inch tall × 66 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
66.0 0.0507 1140
70.0 0.0538 1210
80.0 0.0615 1380
90.0 0.0692 1560
100 0.0769 1730
200 0.154 3460
300 0.231 5180
400 0.308 6910
500 0.384 8640
600 0.461 1.04 × 104
700 0.538 1.21 × 104
800 0.615 1.38 × 104
900 0.692 1.56 × 104
1000 0.769 1.73 × 104
2000 1.54 3.46 × 104
3000 2.31 5.18 × 104
4000 3.08 6.91 × 104
5000 3.84 8.64 × 104
6000 4.61 1.04 × 105
7000 5.38 1.21 × 105
8000 6.15 1.38 × 105
9000 6.92 1.56 × 105
1.00 × 104 7.69 1.73 × 105
1.72 × 104 13.2 2.97 × 105
Steel I Beam: S20 × 66 (S20 inch tall × 66 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
66.0 0.124 1780
70.0 0.131 1890
80.0 0.150 2160
90.0 0.169 2430
100 0.188 2700
200 0.375 5400
300 0.563 8100
400 0.751 1.08 × 104
500 0.939 1.35 × 104
600 1.13 1.62 × 104
700 1.31 1.89 × 104
800 1.50 2.16 × 104
900 1.69 2.43 × 104
1000 1.88 2.70 × 104
2000 3.75 5.40 × 104
3000 5.63 8.10 × 104
4000 7.51 1.08 × 105
5000 9.39 1.35 × 105
6000 11.3 1.62 × 105
7000 13.1 1.89 × 105
8000 15.0 2.16 × 105
9000 16.9 2.43 × 105
1.00 × 104 18.8 2.70 × 105
1.10 × 104 20.7 2.97 × 105
Steel I Beam: S20 × 66 (S20 inch tall × 66 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
66.0 0.257 2570
70.0 0.272 2720
80.0 0.311 3110
90.0 0.350 3500
100 0.389 3890
200 0.779 7780
300 1.17 1.17 × 104
400 1.56 1.56 × 104
500 1.95 1.94 × 104
600 2.34 2.33 × 104
700 2.72 2.72 × 104
800 3.11 3.11 × 104
900 3.50 3.50 × 104
1000 3.89 3.89 × 104
2000 7.79 7.78 × 104
3000 11.7 1.17 × 105
4000 15.6 1.56 × 105
5000 19.5 1.94 × 105
5140 20.0 2.00 × 105
Steel I Beam: S20 × 66 (S20 inch tall × 66 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
66.0 0.476 3490
70.0 0.505 3700
80.0 0.577 4230
90.0 0.649 4760
100 0.721 5290
200 1.44 1.06 × 104
300 2.16 1.59 × 104
400 2.88 2.12 × 104
500 3.61 2.65 × 104
600 4.33 3.18 × 104
700 5.05 3.70 × 104
800 5.77 4.23 × 104
900 6.49 4.76 × 104
1000 7.21 5.29 × 104
2000 14.4 1.06 × 105
2770 20.0 1.47 × 105
Steel I Beam: S20 × 66 (S20 inch tall × 66 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
66.0 0.812 4560
70.0 0.861 4840
80.0 0.984 5530
90.0 1.11 6220
100 1.23 6910
200 2.46 1.38 × 104
300 3.69 2.07 × 104
400 4.92 2.76 × 104
500 6.15 3.46 × 104
600 7.38 4.15 × 104
700 8.61 4.84 × 104
800 9.84 5.53 × 104
900 11.1 6.22 × 104
1000 12.3 6.91 × 104
1630 20.0 1.12 × 105
Steel I Beam: S20 × 66 (S20 inch tall × 66 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
66.0 1.30 5770
70.0 1.38 6120
80.0 1.58 7000
90.0 1.77 7870
100 1.97 8750
200 3.94 1.75 × 104
300 5.91 2.62 × 104
400 7.88 3.50 × 104
500 9.85 4.37 × 104
600 11.8 5.25 × 104
700 13.8 6.12 × 104
800 15.8 7.00 × 104
900 17.7 7.87 × 104
1000 19.7 8.75 × 104
1010 20.0 8.88 × 104
Steel I Beam: S20 × 66 (S20 inch tall × 66 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
66.0 1.98 7130
70.0 2.10 7560
80.0 2.40 8640
90.0 2.70 9720
100 3.00 1.08 × 104
200 6.01 2.16 × 104
300 9.01 3.24 × 104
400 12.0 4.32 × 104
500 15.0 5.40 × 104
600 18.0 6.48 × 104
666 20.0 7.19 × 104
Steel I Beam: S20 × 66 (S20 inch tall × 66 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
66.0 4.84 1.11 × 104
70.0 5.13 1.18 × 104
80.0 5.87 1.35 × 104
90.0 6.60 1.52 × 104
100 7.33 1.69 × 104
200 14.7 3.38 × 104
273 20.0 4.60 × 104
Steel I Beam: S20 × 66 (S20 inch tall × 66 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
66.0 10.0 1.60 × 104
70.0 10.6 1.70 × 104
80.0 12.2 1.94 × 104
90.0 13.7 2.19 × 104
100 15.2 2.43 × 104
132 20.0 3.20 × 104
Additional Information
Related Pages
FREE Publications
Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

3D Scanners

A white paper to assist in the evaluation of 3D scanning hardware solutions.

CNC Machining Design Guide

Optimize your designs, reduce machining time, and lower your costs.

Salary Expectation

8 things to know about the interview question "What's your salary expectation"?

more publications