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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » S Section Steel I Beam » S20 × 86
S Section Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in a single span, the maximum displacement w_max and the maximum normal stress stress_max occur at the center of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 1580 in4) for the S20 × 86 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
   
Steel I Beam: S20 × 86 (S Section 20 inch tall × 86 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 3.26 × 10-6 7.46
90.0 3.41 × 10-6 7.81
100 3.79 × 10-6 8.67
200 7.57 × 10-6 17.3
300 1.14 × 10-5 26.0
400 1.51 × 10-5 34.7
500 1.89 × 10-5 43.4
600 2.27 × 10-5 52.0
700 2.65 × 10-5 60.7
800 3.03 × 10-5 69.4
900 3.41 × 10-5 78.1
1000 3.79 × 10-5 86.7
2000 7.57 × 10-5 173
3000 1.14 × 10-4 260
4000 1.51 × 10-4 347
5000 1.89 × 10-4 434
6000 2.27 × 10-4 520
7000 2.65 × 10-4 607
8000 3.03 × 10-4 694
9000 3.41 × 10-4 781
1.00 × 104 3.79 × 10-4 867
2.00 × 104 7.57 × 10-4 1730
3.00 × 104 0.00114 2600
4.00 × 104 0.00151 3470
5.00 × 104 0.00189 4340
6.00 × 104 0.00227 5200
7.00 × 104 0.00265 6070
8.00 × 104 0.00303 6940
9.00 × 104 0.00341 7810
1.00 × 105 0.00379 8670
2.00 × 105 0.00757 1.73 × 104
3.00 × 105 0.0114 2.60 × 104
4.00 × 105 0.0151 3.47 × 104
5.00 × 105 0.0189 4.34 × 104
6.00 × 105 0.0227 5.20 × 104
7.00 × 105 0.0265 6.07 × 104
8.00 × 105 0.0303 6.94 × 104
9.00 × 105 0.0341 7.81 × 104
1.00 × 106 0.0379 8.67 × 104
2.00 × 106 0.0757 1.73 × 105
3.00 × 106 0.114 2.60 × 105
3.43 × 106 0.130 2.97 × 105
Steel I Beam: S20 × 86 (S Section 20 inch tall × 86 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 2.51 × 10-5 20.7
90.0 2.63 × 10-5 21.7
100 2.92 × 10-5 24.1
200 5.84 × 10-5 48.2
300 8.77 × 10-5 72.3
400 1.17 × 10-4 96.4
500 1.46 × 10-4 120
600 1.75 × 10-4 145
700 2.05 × 10-4 169
800 2.34 × 10-4 193
900 2.63 × 10-4 217
1000 2.92 × 10-4 241
2000 5.84 × 10-4 482
3000 8.77 × 10-4 723
4000 0.00117 964
5000 0.00146 1200
6000 0.00175 1450
7000 0.00205 1690
8000 0.00234 1930
9000 0.00263 2170
1.00 × 104 0.00292 2410
2.00 × 104 0.00584 4820
3.00 × 104 0.00877 7230
4.00 × 104 0.0117 9640
5.00 × 104 0.0146 1.20 × 104
6.00 × 104 0.0175 1.45 × 104
7.00 × 104 0.0205 1.69 × 104
8.00 × 104 0.0234 1.93 × 104
9.00 × 104 0.0263 2.17 × 104
1.00 × 105 0.0292 2.41 × 104
2.00 × 105 0.0584 4.82 × 104
3.00 × 105 0.0877 7.23 × 104
4.00 × 105 0.117 9.64 × 104
5.00 × 105 0.146 1.20 × 105
6.00 × 105 0.175 1.45 × 105
7.00 × 105 0.205 1.69 × 105
8.00 × 105 0.234 1.93 × 105
9.00 × 105 0.263 2.17 × 105
1.00 × 106 0.292 2.41 × 105
1.23 × 106 0.360 2.97 × 105
Steel I Beam: S20 × 86 (S Section 20 inch tall × 86 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 4.02 × 10-4 82.9
90.0 4.21 × 10-4 86.7
100 4.68 × 10-4 96.4
200 9.35 × 10-4 193
300 0.00140 289
400 0.00187 385
500 0.00234 482
600 0.00281 578
700 0.00327 675
800 0.00374 771
900 0.00421 867
1000 0.00468 964
2000 0.00935 1930
3000 0.0140 2890
4000 0.0187 3850
5000 0.0234 4820
6000 0.0281 5780
7000 0.0327 6750
8000 0.0374 7710
9000 0.0421 8670
1.00 × 104 0.0468 9640
2.00 × 104 0.0935 1.93 × 104
3.00 × 104 0.140 2.89 × 104
4.00 × 104 0.187 3.85 × 104
5.00 × 104 0.234 4.82 × 104
6.00 × 104 0.281 5.78 × 104
7.00 × 104 0.327 6.75 × 104
8.00 × 104 0.374 7.71 × 104
9.00 × 104 0.421 8.67 × 104
1.00 × 105 0.468 9.64 × 104
2.00 × 105 0.935 1.93 × 105
3.00 × 105 1.40 2.89 × 105
3.08 × 105 1.44 2.97 × 105
Steel I Beam: S20 × 86 (S Section 20 inch tall × 86 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 0.00204 186
90.0 0.00213 195
100 0.00237 217
200 0.00473 434
300 0.00710 650
400 0.00947 867
500 0.0118 1080
600 0.0142 1300
700 0.0166 1520
800 0.0189 1730
900 0.0213 1950
1000 0.0237 2170
2000 0.0473 4340
3000 0.0710 6500
4000 0.0947 8670
5000 0.118 1.08 × 104
6000 0.142 1.30 × 104
7000 0.166 1.52 × 104
8000 0.189 1.73 × 104
9000 0.213 1.95 × 104
1.00 × 104 0.237 2.17 × 104
2.00 × 104 0.473 4.34 × 104
3.00 × 104 0.710 6.50 × 104
4.00 × 104 0.947 8.67 × 104
5.00 × 104 1.18 1.08 × 105
6.00 × 104 1.42 1.30 × 105
7.00 × 104 1.66 1.52 × 105
8.00 × 104 1.89 1.73 × 105
9.00 × 104 2.13 1.95 × 105
1.00 × 105 2.37 2.17 × 105
1.37 × 105 3.24 2.97 × 105
Steel I Beam: S20 × 86 (S Section 20 inch tall × 86 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 0.00643 331
90.0 0.00673 347
100 0.00748 385
200 0.0150 771
300 0.0224 1160
400 0.0299 1540
500 0.0374 1930
600 0.0449 2310
700 0.0524 2700
800 0.0598 3080
900 0.0673 3470
1000 0.0748 3850
2000 0.150 7710
3000 0.224 1.16 × 104
4000 0.299 1.54 × 104
5000 0.374 1.93 × 104
6000 0.449 2.31 × 104
7000 0.524 2.70 × 104
8000 0.598 3.08 × 104
9000 0.673 3.47 × 104
1.00 × 104 0.748 3.85 × 104
2.00 × 104 1.50 7.71 × 104
3.00 × 104 2.24 1.16 × 105
4.00 × 104 2.99 1.54 × 105
5.00 × 104 3.74 1.93 × 105
6.00 × 104 4.49 2.31 × 105
7.00 × 104 5.24 2.70 × 105
7.71 × 104 5.76 2.97 × 105
Steel I Beam: S20 × 86 (S Section 20 inch tall × 86 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 0.0157 518
90.0 0.0164 542
100 0.0183 602
200 0.0365 1200
300 0.0548 1810
400 0.0731 2410
500 0.0913 3010
600 0.110 3610
700 0.128 4220
800 0.146 4820
900 0.164 5420
1000 0.183 6020
2000 0.365 1.20 × 104
3000 0.548 1.81 × 104
4000 0.731 2.41 × 104
5000 0.913 3.01 × 104
6000 1.10 3.61 × 104
7000 1.28 4.22 × 104
8000 1.46 4.82 × 104
9000 1.64 5.42 × 104
1.00 × 104 1.83 6.02 × 104
2.00 × 104 3.65 1.20 × 105
3.00 × 104 5.48 1.81 × 105
4.00 × 104 7.31 2.41 × 105
4.93 × 104 9.01 2.97 × 105
Steel I Beam: S20 × 86 (S Section 20 inch tall × 86 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 0.0326 746
90.0 0.0341 781
100 0.0379 867
200 0.0757 1730
300 0.114 2600
400 0.151 3470
500 0.189 4340
600 0.227 5200
700 0.265 6070
800 0.303 6940
900 0.341 7810
1000 0.379 8670
2000 0.757 1.73 × 104
3000 1.14 2.60 × 104
4000 1.51 3.47 × 104
5000 1.89 4.34 × 104
6000 2.27 5.20 × 104
7000 2.65 6.07 × 104
8000 3.03 6.94 × 104
9000 3.41 7.81 × 104
1.00 × 104 3.79 8.67 × 104
2.00 × 104 7.57 1.73 × 105
3.00 × 104 11.4 2.60 × 105
3.43 × 104 13.0 2.97 × 105
Steel I Beam: S20 × 86 (S Section 20 inch tall × 86 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 0.103 1330
90.0 0.108 1390
100 0.120 1540
200 0.239 3080
300 0.359 4630
400 0.479 6170
500 0.598 7710
600 0.718 9250
700 0.838 1.08 × 104
800 0.958 1.23 × 104
900 1.08 1.39 × 104
1000 1.20 1.54 × 104
2000 2.39 3.08 × 104
3000 3.59 4.63 × 104
4000 4.79 6.17 × 104
5000 5.98 7.71 × 104
6000 7.18 9.25 × 104
7000 8.38 1.08 × 105
8000 9.58 1.23 × 105
9000 10.8 1.39 × 105
1.00 × 104 12.0 1.54 × 105
1.93 × 104 23.1 2.97 × 105
Steel I Beam: S20 × 86 (S Section 20 inch tall × 86 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 0.251 2070
90.0 0.263 2170
100 0.292 2410
200 0.584 4820
300 0.877 7230
400 1.17 9640
500 1.46 1.20 × 104
600 1.75 1.45 × 104
700 2.05 1.69 × 104
800 2.34 1.93 × 104
900 2.63 2.17 × 104
1000 2.92 2.41 × 104
2000 5.84 4.82 × 104
3000 8.77 7.23 × 104
4000 11.7 9.64 × 104
5000 14.6 1.20 × 105
6000 17.5 1.45 × 105
6950 20.3 1.67 × 105
Steel I Beam: S20 × 86 (S Section 20 inch tall × 86 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 0.521 2980
90.0 0.545 3120
100 0.606 3470
200 1.21 6940
300 1.82 1.04 × 104
400 2.42 1.39 × 104
500 3.03 1.73 × 104
600 3.64 2.08 × 104
700 4.24 2.43 × 104
800 4.85 2.78 × 104
900 5.45 3.12 × 104
1000 6.06 3.47 × 104
2000 12.1 6.94 × 104
3000 18.2 1.04 × 105
3350 20.3 1.16 × 105
Steel I Beam: S20 × 86 (S Section 20 inch tall × 86 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 0.965 4060
90.0 1.01 4250
100 1.12 4720
200 2.25 9440
300 3.37 1.42 × 104
400 4.49 1.89 × 104
500 5.61 2.36 × 104
600 6.74 2.83 × 104
700 7.86 3.31 × 104
800 8.98 3.78 × 104
900 10.1 4.25 × 104
1000 11.2 4.72 × 104
1810 20.3 8.54 × 104
Steel I Beam: S20 × 86 (S Section 20 inch tall × 86 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 1.65 5300
90.0 1.72 5550
100 1.92 6170
200 3.83 1.23 × 104
300 5.75 1.85 × 104
400 7.66 2.47 × 104
500 9.58 3.08 × 104
600 11.5 3.70 × 104
700 13.4 4.32 × 104
800 15.3 4.93 × 104
900 17.2 5.55 × 104
1000 19.2 6.17 × 104
1060 20.3 6.54 × 104
Steel I Beam: S20 × 86 (S Section 20 inch tall × 86 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 2.64 6710
90.0 2.76 7020
100 3.07 7810
200 6.14 1.56 × 104
300 9.20 2.34 × 104
400 12.3 3.12 × 104
500 15.3 3.90 × 104
600 18.4 4.68 × 104
662 20.3 5.17 × 104
Steel I Beam: S20 × 86 (S Section 20 inch tall × 86 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 4.02 8290
90.0 4.21 8670
100 4.68 9640
200 9.35 1.93 × 104
300 14.0 2.89 × 104
400 18.7 3.85 × 104
434 20.3 4.18 × 104
Steel I Beam: S20 × 86 (S Section 20 inch tall × 86 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 9.82 1.29 × 104
90.0 10.3 1.36 × 104
100 11.4 1.51 × 104
178 20.3 2.68 × 104
Additional Information
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Selecting the Right 3D Printer

Discover how to choose the right 3D printer for your needs and the key performance attributes to consider.

Metal 3D Printing Design Guide

Direct Metal Laser Sintering (DMLS) 3D printing for parts with reduced cost and little waste.

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Learn the best principles to negotiate the salary you deserve!

3D Scanners

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more publications