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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » 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 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 = 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
L = 150 ft
   
Steel I Beam: S20 × 86 (S20 inch tall × 86 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 1.30 × 10-6 7.46
90.0 1.36 × 10-6 7.81
100 1.51 × 10-6 8.67
200 3.03 × 10-6 17.3
300 4.54 × 10-6 26.0
400 6.06 × 10-6 34.7
500 7.57 × 10-6 43.4
600 9.09 × 10-6 52.0
700 1.06 × 10-5 60.7
800 1.21 × 10-5 69.4
900 1.36 × 10-5 78.1
1000 1.51 × 10-5 86.7
2000 3.03 × 10-5 173
3000 4.54 × 10-5 260
4000 6.06 × 10-5 347
5000 7.57 × 10-5 434
6000 9.09 × 10-5 520
7000 1.06 × 10-4 607
8000 1.21 × 10-4 694
9000 1.36 × 10-4 781
1.00 × 104 1.51 × 10-4 867
2.00 × 104 3.03 × 10-4 1730
3.00 × 104 4.54 × 10-4 2600
4.00 × 104 6.06 × 10-4 3470
5.00 × 104 7.57 × 10-4 4340
6.00 × 104 9.09 × 10-4 5200
7.00 × 104 0.00106 6070
8.00 × 104 0.00121 6940
9.00 × 104 0.00136 7810
1.00 × 105 0.00151 8670
2.00 × 105 0.00303 1.73 × 104
3.00 × 105 0.00454 2.60 × 104
4.00 × 105 0.00606 3.47 × 104
5.00 × 105 0.00757 4.34 × 104
6.00 × 105 0.00909 5.20 × 104
7.00 × 105 0.0106 6.07 × 104
8.00 × 105 0.0121 6.94 × 104
9.00 × 105 0.0136 7.81 × 104
1.00 × 106 0.0151 8.67 × 104
2.00 × 106 0.0303 1.73 × 105
3.00 × 106 0.0454 2.60 × 105
3.43 × 106 0.0519 2.97 × 105
Steel I Beam: S20 × 86 (S20 inch tall × 86 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 1.01 × 10-5 20.7
90.0 1.05 × 10-5 21.7
100 1.17 × 10-5 24.1
200 2.34 × 10-5 48.2
300 3.51 × 10-5 72.3
400 4.68 × 10-5 96.4
500 5.84 × 10-5 120
600 7.01 × 10-5 145
700 8.18 × 10-5 169
800 9.35 × 10-5 193
900 1.05 × 10-4 217
1000 1.17 × 10-4 241
2000 2.34 × 10-4 482
3000 3.51 × 10-4 723
4000 4.68 × 10-4 964
5000 5.84 × 10-4 1200
6000 7.01 × 10-4 1450
7000 8.18 × 10-4 1690
8000 9.35 × 10-4 1930
9000 0.00105 2170
1.00 × 104 0.00117 2410
2.00 × 104 0.00234 4820
3.00 × 104 0.00351 7230
4.00 × 104 0.00468 9640
5.00 × 104 0.00584 1.20 × 104
6.00 × 104 0.00701 1.45 × 104
7.00 × 104 0.00818 1.69 × 104
8.00 × 104 0.00935 1.93 × 104
9.00 × 104 0.0105 2.17 × 104
1.00 × 105 0.0117 2.41 × 104
2.00 × 105 0.0234 4.82 × 104
3.00 × 105 0.0351 7.23 × 104
4.00 × 105 0.0468 9.64 × 104
5.00 × 105 0.0584 1.20 × 105
6.00 × 105 0.0701 1.45 × 105
7.00 × 105 0.0818 1.69 × 105
8.00 × 105 0.0935 1.93 × 105
9.00 × 105 0.105 2.17 × 105
1.00 × 106 0.117 2.41 × 105
1.23 × 106 0.144 2.97 × 105
Steel I Beam: S20 × 86 (S20 inch tall × 86 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 1.61 × 10-4 82.9
90.0 1.68 × 10-4 86.7
100 1.87 × 10-4 96.4
200 3.74 × 10-4 193
300 5.61 × 10-4 289
400 7.48 × 10-4 385
500 9.35 × 10-4 482
600 0.00112 578
700 0.00131 675
800 0.00150 771
900 0.00168 867
1000 0.00187 964
2000 0.00374 1930
3000 0.00561 2890
4000 0.00748 3850
5000 0.00935 4820
6000 0.0112 5780
7000 0.0131 6750
8000 0.0150 7710
9000 0.0168 8670
1.00 × 104 0.0187 9640
2.00 × 104 0.0374 1.93 × 104
3.00 × 104 0.0561 2.89 × 104
4.00 × 104 0.0748 3.85 × 104
5.00 × 104 0.0935 4.82 × 104
6.00 × 104 0.112 5.78 × 104
7.00 × 104 0.131 6.75 × 104
8.00 × 104 0.150 7.71 × 104
9.00 × 104 0.168 8.67 × 104
1.00 × 105 0.187 9.64 × 104
2.00 × 105 0.374 1.93 × 105
3.00 × 105 0.561 2.89 × 105
3.08 × 105 0.576 2.97 × 105
Steel I Beam: S20 × 86 (S20 inch tall × 86 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 8.14 × 10-4 186
90.0 8.52 × 10-4 195
100 9.47 × 10-4 217
200 0.00189 434
300 0.00284 650
400 0.00379 867
500 0.00473 1080
600 0.00568 1300
700 0.00663 1520
800 0.00757 1730
900 0.00852 1950
1000 0.00947 2170
2000 0.0189 4340
3000 0.0284 6500
4000 0.0379 8670
5000 0.0473 1.08 × 104
6000 0.0568 1.30 × 104
7000 0.0663 1.52 × 104
8000 0.0757 1.73 × 104
9000 0.0852 1.95 × 104
1.00 × 104 0.0947 2.17 × 104
2.00 × 104 0.189 4.34 × 104
3.00 × 104 0.284 6.50 × 104
4.00 × 104 0.379 8.67 × 104
5.00 × 104 0.473 1.08 × 105
6.00 × 104 0.568 1.30 × 105
7.00 × 104 0.663 1.52 × 105
8.00 × 104 0.757 1.73 × 105
9.00 × 104 0.852 1.95 × 105
1.00 × 105 0.947 2.17 × 105
1.37 × 105 1.30 2.97 × 105
Steel I Beam: S20 × 86 (S20 inch tall × 86 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 0.00257 331
90.0 0.00269 347
100 0.00299 385
200 0.00598 771
300 0.00898 1160
400 0.0120 1540
500 0.0150 1930
600 0.0180 2310
700 0.0209 2700
800 0.0239 3080
900 0.0269 3470
1000 0.0299 3850
2000 0.0598 7710
3000 0.0898 1.16 × 104
4000 0.120 1.54 × 104
5000 0.150 1.93 × 104
6000 0.180 2.31 × 104
7000 0.209 2.70 × 104
8000 0.239 3.08 × 104
9000 0.269 3.47 × 104
1.00 × 104 0.299 3.85 × 104
2.00 × 104 0.598 7.71 × 104
3.00 × 104 0.898 1.16 × 105
4.00 × 104 1.20 1.54 × 105
5.00 × 104 1.50 1.93 × 105
6.00 × 104 1.80 2.31 × 105
7.00 × 104 2.09 2.70 × 105
7.71 × 104 2.31 2.97 × 105
Steel I Beam: S20 × 86 (S20 inch tall × 86 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 0.00628 518
90.0 0.00657 542
100 0.00731 602
200 0.0146 1200
300 0.0219 1810
400 0.0292 2410
500 0.0365 3010
600 0.0438 3610
700 0.0511 4220
800 0.0584 4820
900 0.0657 5420
1000 0.0731 6020
2000 0.146 1.20 × 104
3000 0.219 1.81 × 104
4000 0.292 2.41 × 104
5000 0.365 3.01 × 104
6000 0.438 3.61 × 104
7000 0.511 4.22 × 104
8000 0.584 4.82 × 104
9000 0.657 5.42 × 104
1.00 × 104 0.731 6.02 × 104
2.00 × 104 1.46 1.20 × 105
3.00 × 104 2.19 1.81 × 105
4.00 × 104 2.92 2.41 × 105
4.93 × 104 3.60 2.97 × 105
Steel I Beam: S20 × 86 (S20 inch tall × 86 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 0.0130 746
90.0 0.0136 781
100 0.0151 867
200 0.0303 1730
300 0.0454 2600
400 0.0606 3470
500 0.0757 4340
600 0.0909 5200
700 0.106 6070
800 0.121 6940
900 0.136 7810
1000 0.151 8670
2000 0.303 1.73 × 104
3000 0.454 2.60 × 104
4000 0.606 3.47 × 104
5000 0.757 4.34 × 104
6000 0.909 5.20 × 104
7000 1.06 6.07 × 104
8000 1.21 6.94 × 104
9000 1.36 7.81 × 104
1.00 × 104 1.51 8.67 × 104
2.00 × 104 3.03 1.73 × 105
3.00 × 104 4.54 2.60 × 105
3.43 × 104 5.19 2.97 × 105
Steel I Beam: S20 × 86 (S20 inch tall × 86 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 0.0412 1330
90.0 0.0431 1390
100 0.0479 1540
200 0.0958 3080
300 0.144 4630
400 0.192 6170
500 0.239 7710
600 0.287 9250
700 0.335 1.08 × 104
800 0.383 1.23 × 104
900 0.431 1.39 × 104
1000 0.479 1.54 × 104
2000 0.958 3.08 × 104
3000 1.44 4.63 × 104
4000 1.92 6.17 × 104
5000 2.39 7.71 × 104
6000 2.87 9.25 × 104
7000 3.35 1.08 × 105
8000 3.83 1.23 × 105
9000 4.31 1.39 × 105
1.00 × 104 4.79 1.54 × 105
1.93 × 104 9.22 2.97 × 105
Steel I Beam: S20 × 86 (S20 inch tall × 86 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 0.101 2070
90.0 0.105 2170
100 0.117 2410
200 0.234 4820
300 0.351 7230
400 0.468 9640
500 0.584 1.20 × 104
600 0.701 1.45 × 104
700 0.818 1.69 × 104
800 0.935 1.93 × 104
900 1.05 2.17 × 104
1000 1.17 2.41 × 104
2000 2.34 4.82 × 104
3000 3.51 7.23 × 104
4000 4.68 9.64 × 104
5000 5.84 1.20 × 105
6000 7.01 1.45 × 105
7000 8.18 1.69 × 105
8000 9.35 1.93 × 105
9000 10.5 2.17 × 105
1.00 × 104 11.7 2.41 × 105
1.23 × 104 14.4 2.97 × 105
Steel I Beam: S20 × 86 (S20 inch tall × 86 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 0.208 2980
90.0 0.218 3120
100 0.242 3470
200 0.485 6940
300 0.727 1.04 × 104
400 0.970 1.39 × 104
500 1.21 1.73 × 104
600 1.45 2.08 × 104
700 1.70 2.43 × 104
800 1.94 2.78 × 104
900 2.18 3.12 × 104
1000 2.42 3.47 × 104
2000 4.85 6.94 × 104
3000 7.27 1.04 × 105
4000 9.70 1.39 × 105
5000 12.1 1.73 × 105
6000 14.5 2.08 × 105
7000 17.0 2.43 × 105
8000 19.4 2.78 × 105
8560 20.8 2.97 × 105
Steel I Beam: S20 × 86 (S20 inch tall × 86 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 0.386 4060
90.0 0.404 4250
100 0.449 4720
200 0.898 9440
300 1.35 1.42 × 104
400 1.80 1.89 × 104
500 2.25 2.36 × 104
600 2.69 2.83 × 104
700 3.14 3.31 × 104
800 3.59 3.78 × 104
900 4.04 4.25 × 104
1000 4.49 4.72 × 104
2000 8.98 9.44 × 104
3000 13.5 1.42 × 105
4000 18.0 1.89 × 105
4520 20.3 2.13 × 105
Steel I Beam: S20 × 86 (S20 inch tall × 86 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 0.659 5300
90.0 0.689 5550
100 0.766 6170
200 1.53 1.23 × 104
300 2.30 1.85 × 104
400 3.06 2.47 × 104
500 3.83 3.08 × 104
600 4.60 3.70 × 104
700 5.36 4.32 × 104
800 6.13 4.93 × 104
900 6.89 5.55 × 104
1000 7.66 6.17 × 104
2000 15.3 1.23 × 105
2650 20.3 1.63 × 105
Steel I Beam: S20 × 86 (S20 inch tall × 86 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 1.06 6710
90.0 1.10 7020
100 1.23 7810
200 2.45 1.56 × 104
300 3.68 2.34 × 104
400 4.91 3.12 × 104
500 6.14 3.90 × 104
600 7.36 4.68 × 104
700 8.59 5.46 × 104
800 9.82 6.24 × 104
900 11.0 7.02 × 104
1000 12.3 7.81 × 104
1650 20.3 1.29 × 105
Steel I Beam: S20 × 86 (S20 inch tall × 86 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 1.61 8290
90.0 1.68 8670
100 1.87 9640
200 3.74 1.93 × 104
300 5.61 2.89 × 104
400 7.48 3.85 × 104
500 9.35 4.82 × 104
600 11.2 5.78 × 104
700 13.1 6.75 × 104
800 15.0 7.71 × 104
900 16.8 8.67 × 104
1000 18.7 9.64 × 104
1090 20.3 1.05 × 105
Steel I Beam: S20 × 86 (S20 inch tall × 86 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 3.93 1.29 × 104
90.0 4.11 1.36 × 104
100 4.57 1.51 × 104
200 9.13 3.01 × 104
300 13.7 4.52 × 104
400 18.3 6.02 × 104
445 20.3 6.69 × 104
Steel I Beam: S20 × 86 (S20 inch tall × 86 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
86.0 8.14 1.86 × 104
90.0 8.52 1.95 × 104
100 9.47 2.17 × 104
200 18.9 4.34 × 104
214 20.3 4.65 × 104
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STEM Career Outlook

Wages, employment opportunities, and growth projections for STEM jobs.

Salary Expectation

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

Metal 3D Printing Design Guide

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

3D Scanners

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

more publications