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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » S Section Steel I Beam » S20 × 75
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 = 1280 in4) for the S20 × 75 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 × 75 (S20 inch tall × 75 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
75.0 1.40 × 10-6 7.91
80.0 1.50 × 10-6 8.44
90.0 1.68 × 10-6 9.49
100 1.87 × 10-6 10.5
200 3.74 × 10-6 21.1
300 5.61 × 10-6 31.6
400 7.48 × 10-6 42.2
500 9.35 × 10-6 52.7
600 1.12 × 10-5 63.3
700 1.31 × 10-5 73.8
800 1.50 × 10-5 84.4
900 1.68 × 10-5 94.9
1000 1.87 × 10-5 105
2000 3.74 × 10-5 211
3000 5.61 × 10-5 316
4000 7.48 × 10-5 422
5000 9.35 × 10-5 527
6000 1.12 × 10-4 633
7000 1.31 × 10-4 738
8000 1.50 × 10-4 844
9000 1.68 × 10-4 949
1.00 × 104 1.87 × 10-4 1050
2.00 × 104 3.74 × 10-4 2110
3.00 × 104 5.61 × 10-4 3160
4.00 × 104 7.48 × 10-4 4220
5.00 × 104 9.35 × 10-4 5270
6.00 × 104 0.00112 6330
7.00 × 104 0.00131 7380
8.00 × 104 0.00150 8440
9.00 × 104 0.00168 9490
1.00 × 105 0.00187 1.05 × 104
2.00 × 105 0.00374 2.11 × 104
3.00 × 105 0.00561 3.16 × 104
4.00 × 105 0.00748 4.22 × 104
5.00 × 105 0.00935 5.27 × 104
6.00 × 105 0.0112 6.33 × 104
7.00 × 105 0.0131 7.38 × 104
8.00 × 105 0.0150 8.44 × 104
9.00 × 105 0.0168 9.49 × 104
1.00 × 106 0.0187 1.05 × 105
2.00 × 106 0.0374 2.11 × 105
2.82 × 106 0.0527 2.97 × 105
Steel I Beam: S20 × 75 (S20 inch tall × 75 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
75.0 1.08 × 10-5 22.0
80.0 1.15 × 10-5 23.4
90.0 1.30 × 10-5 26.4
100 1.44 × 10-5 29.3
200 2.89 × 10-5 58.6
300 4.33 × 10-5 87.9
400 5.77 × 10-5 117
500 7.21 × 10-5 146
600 8.66 × 10-5 176
700 1.01 × 10-4 205
800 1.15 × 10-4 234
900 1.30 × 10-4 264
1000 1.44 × 10-4 293
2000 2.89 × 10-4 586
3000 4.33 × 10-4 879
4000 5.77 × 10-4 1170
5000 7.21 × 10-4 1460
6000 8.66 × 10-4 1760
7000 0.00101 2050
8000 0.00115 2340
9000 0.00130 2640
1.00 × 104 0.00144 2930
2.00 × 104 0.00289 5860
3.00 × 104 0.00433 8790
4.00 × 104 0.00577 1.17 × 104
5.00 × 104 0.00721 1.46 × 104
6.00 × 104 0.00866 1.76 × 104
7.00 × 104 0.0101 2.05 × 104
8.00 × 104 0.0115 2.34 × 104
9.00 × 104 0.0130 2.64 × 104
1.00 × 105 0.0144 2.93 × 104
2.00 × 105 0.0289 5.86 × 104
3.00 × 105 0.0433 8.79 × 104
4.00 × 105 0.0577 1.17 × 105
5.00 × 105 0.0721 1.46 × 105
6.00 × 105 0.0866 1.76 × 105
7.00 × 105 0.101 2.05 × 105
8.00 × 105 0.115 2.34 × 105
9.00 × 105 0.130 2.64 × 105
1.00 × 106 0.144 2.93 × 105
1.01 × 106 0.146 2.97 × 105
Steel I Beam: S20 × 75 (S20 inch tall × 75 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
75.0 1.73 × 10-4 87.9
80.0 1.85 × 10-4 93.8
90.0 2.08 × 10-4 105
100 2.31 × 10-4 117
200 4.62 × 10-4 234
300 6.93 × 10-4 352
400 9.23 × 10-4 469
500 0.00115 586
600 0.00139 703
700 0.00162 820
800 0.00185 938
900 0.00208 1050
1000 0.00231 1170
2000 0.00462 2340
3000 0.00693 3520
4000 0.00923 4690
5000 0.0115 5860
6000 0.0139 7030
7000 0.0162 8200
8000 0.0185 9380
9000 0.0208 1.05 × 104
1.00 × 104 0.0231 1.17 × 104
2.00 × 104 0.0462 2.34 × 104
3.00 × 104 0.0693 3.52 × 104
4.00 × 104 0.0923 4.69 × 104
5.00 × 104 0.115 5.86 × 104
6.00 × 104 0.139 7.03 × 104
7.00 × 104 0.162 8.20 × 104
8.00 × 104 0.185 9.38 × 104
9.00 × 104 0.208 1.05 × 105
1.00 × 105 0.231 1.17 × 105
2.00 × 105 0.462 2.34 × 105
2.53 × 105 0.585 2.97 × 105
Steel I Beam: S20 × 75 (S20 inch tall × 75 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
75.0 8.77 × 10-4 198
80.0 9.35 × 10-4 211
90.0 0.00105 237
100 0.00117 264
200 0.00234 527
300 0.00351 791
400 0.00467 1050
500 0.00584 1320
600 0.00701 1580
700 0.00818 1850
800 0.00935 2110
900 0.0105 2370
1000 0.0117 2640
2000 0.0234 5270
3000 0.0351 7910
4000 0.0467 1.05 × 104
5000 0.0584 1.32 × 104
6000 0.0701 1.58 × 104
7000 0.0818 1.85 × 104
8000 0.0935 2.11 × 104
9000 0.105 2.37 × 104
1.00 × 104 0.117 2.64 × 104
2.00 × 104 0.234 5.27 × 104
3.00 × 104 0.351 7.91 × 104
4.00 × 104 0.467 1.05 × 105
5.00 × 104 0.584 1.32 × 105
6.00 × 104 0.701 1.58 × 105
7.00 × 104 0.818 1.85 × 105
8.00 × 104 0.935 2.11 × 105
9.00 × 104 1.05 2.37 × 105
1.00 × 105 1.17 2.64 × 105
1.13 × 105 1.32 2.97 × 105
Steel I Beam: S20 × 75 (S20 inch tall × 75 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
75.0 0.00277 352
80.0 0.00295 375
90.0 0.00332 422
100 0.00369 469
200 0.00739 938
300 0.0111 1410
400 0.0148 1880
500 0.0185 2340
600 0.0222 2810
700 0.0259 3280
800 0.0295 3750
900 0.0332 4220
1000 0.0369 4690
2000 0.0739 9380
3000 0.111 1.41 × 104
4000 0.148 1.88 × 104
5000 0.185 2.34 × 104
6000 0.222 2.81 × 104
7000 0.259 3.28 × 104
8000 0.295 3.75 × 104
9000 0.332 4.22 × 104
1.00 × 104 0.369 4.69 × 104
2.00 × 104 0.739 9.38 × 104
3.00 × 104 1.11 1.41 × 105
4.00 × 104 1.48 1.88 × 105
5.00 × 104 1.85 2.34 × 105
6.00 × 104 2.22 2.81 × 105
6.34 × 104 2.34 2.97 × 105
Steel I Beam: S20 × 75 (S20 inch tall × 75 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
75.0 0.00676 549
80.0 0.00721 586
90.0 0.00812 659
100 0.00902 732
200 0.0180 1460
300 0.0271 2200
400 0.0361 2930
500 0.0451 3660
600 0.0541 4390
700 0.0631 5130
800 0.0721 5860
900 0.0812 6590
1000 0.0902 7320
2000 0.180 1.46 × 104
3000 0.271 2.20 × 104
4000 0.361 2.93 × 104
5000 0.451 3.66 × 104
6000 0.541 4.39 × 104
7000 0.631 5.13 × 104
8000 0.721 5.86 × 104
9000 0.812 6.59 × 104
1.00 × 104 0.902 7.32 × 104
2.00 × 104 1.80 1.46 × 105
3.00 × 104 2.71 2.20 × 105
4.00 × 104 3.61 2.93 × 105
4.06 × 104 3.66 2.97 × 105
Steel I Beam: S20 × 75 (S20 inch tall × 75 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
75.0 0.0140 791
80.0 0.0150 844
90.0 0.0168 949
100 0.0187 1050
200 0.0374 2110
300 0.0561 3160
400 0.0748 4220
500 0.0935 5270
600 0.112 6330
700 0.131 7380
800 0.150 8440
900 0.168 9490
1000 0.187 1.05 × 104
2000 0.374 2.11 × 104
3000 0.561 3.16 × 104
4000 0.748 4.22 × 104
5000 0.935 5.27 × 104
6000 1.12 6.33 × 104
7000 1.31 7.38 × 104
8000 1.50 8.44 × 104
9000 1.68 9.49 × 104
1.00 × 104 1.87 1.05 × 105
2.00 × 104 3.74 2.11 × 105
2.82 × 104 5.27 2.97 × 105
Steel I Beam: S20 × 75 (S20 inch tall × 75 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
75.0 0.0443 1410
80.0 0.0473 1500
90.0 0.0532 1690
100 0.0591 1880
200 0.118 3750
300 0.177 5630
400 0.236 7500
500 0.295 9380
600 0.355 1.13 × 104
700 0.414 1.31 × 104
800 0.473 1.50 × 104
900 0.532 1.69 × 104
1000 0.591 1.88 × 104
2000 1.18 3.75 × 104
3000 1.77 5.63 × 104
4000 2.36 7.50 × 104
5000 2.95 9.38 × 104
6000 3.55 1.13 × 105
7000 4.14 1.31 × 105
8000 4.73 1.50 × 105
9000 5.32 1.69 × 105
1.00 × 104 5.91 1.88 × 105
1.58 × 104 9.36 2.97 × 105
Steel I Beam: S20 × 75 (S20 inch tall × 75 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
75.0 0.108 2200
80.0 0.115 2340
90.0 0.130 2640
100 0.144 2930
200 0.289 5860
300 0.433 8790
400 0.577 1.17 × 104
500 0.721 1.46 × 104
600 0.866 1.76 × 104
700 1.01 2.05 × 104
800 1.15 2.34 × 104
900 1.30 2.64 × 104
1000 1.44 2.93 × 104
2000 2.89 5.86 × 104
3000 4.33 8.79 × 104
4000 5.77 1.17 × 105
5000 7.21 1.46 × 105
6000 8.66 1.76 × 105
7000 10.1 2.05 × 105
8000 11.5 2.34 × 105
9000 13.0 2.64 × 105
1.00 × 104 14.4 2.93 × 105
1.01 × 104 14.6 2.97 × 105
Steel I Beam: S20 × 75 (S20 inch tall × 75 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
75.0 0.224 3160
80.0 0.239 3380
90.0 0.269 3800
100 0.299 4220
200 0.598 8440
300 0.898 1.27 × 104
400 1.20 1.69 × 104
500 1.50 2.11 × 104
600 1.80 2.53 × 104
700 2.09 2.95 × 104
800 2.39 3.38 × 104
900 2.69 3.80 × 104
1000 2.99 4.22 × 104
2000 5.98 8.44 × 104
3000 8.98 1.27 × 105
4000 12.0 1.69 × 105
5000 15.0 2.11 × 105
6000 18.0 2.53 × 105
6680 20.0 2.82 × 105
Steel I Beam: S20 × 75 (S20 inch tall × 75 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
75.0 0.416 4310
80.0 0.443 4590
90.0 0.499 5170
100 0.554 5740
200 1.11 1.15 × 104
300 1.66 1.72 × 104
400 2.22 2.30 × 104
500 2.77 2.87 × 104
600 3.33 3.45 × 104
700 3.88 4.02 × 104
800 4.43 4.59 × 104
900 4.99 5.17 × 104
1000 5.54 5.74 × 104
2000 11.1 1.15 × 105
3000 16.6 1.72 × 105
3610 20.0 2.07 × 105
Steel I Beam: S20 × 75 (S20 inch tall × 75 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
75.0 0.709 5630
80.0 0.756 6000
90.0 0.851 6750
100 0.946 7500
200 1.89 1.50 × 104
300 2.84 2.25 × 104
400 3.78 3.00 × 104
500 4.73 3.75 × 104
600 5.67 4.50 × 104
700 6.62 5.25 × 104
800 7.56 6.00 × 104
900 8.51 6.75 × 104
1000 9.46 7.50 × 104
2000 18.9 1.50 × 105
2120 20.0 1.59 × 105
Steel I Beam: S20 × 75 (S20 inch tall × 75 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
75.0 1.14 7120
80.0 1.21 7590
90.0 1.36 8540
100 1.51 9490
200 3.03 1.90 × 104
300 4.54 2.85 × 104
400 6.06 3.80 × 104
500 7.57 4.75 × 104
600 9.09 5.70 × 104
700 10.6 6.64 × 104
800 12.1 7.59 × 104
900 13.6 8.54 × 104
1000 15.1 9.49 × 104
1320 20.0 1.25 × 105
Steel I Beam: S20 × 75 (S20 inch tall × 75 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
75.0 1.73 8790
80.0 1.85 9380
90.0 2.08 1.05 × 104
100 2.31 1.17 × 104
200 4.62 2.34 × 104
300 6.93 3.52 × 104
400 9.23 4.69 × 104
500 11.5 5.86 × 104
600 13.9 7.03 × 104
700 16.2 8.20 × 104
800 18.5 9.38 × 104
866 20.0 1.02 × 105
Steel I Beam: S20 × 75 (S20 inch tall × 75 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
75.0 4.23 1.37 × 104
80.0 4.51 1.46 × 104
90.0 5.07 1.65 × 104
100 5.64 1.83 × 104
200 11.3 3.66 × 104
300 16.9 5.49 × 104
355 20.0 6.50 × 104
Steel I Beam: S20 × 75 (S20 inch tall × 75 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
75.0 8.77 1.98 × 104
80.0 9.35 2.11 × 104
90.0 10.5 2.37 × 104
100 11.7 2.64 × 104
171 20.0 4.51 × 104
Additional Information
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