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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » S Section Steel I Beam » S24 × 90
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 = 2250 in4) for the S24 × 90 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
L = 200 ft
   
Steel I Beam: S24 × 90 (S24 inch tall × 90 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 1.16 × 10-6 5.55
100 1.29 × 10-6 6.17
200 2.57 × 10-6 12.3
300 3.86 × 10-6 18.5
400 5.15 × 10-6 24.7
500 6.43 × 10-6 30.8
600 7.72 × 10-6 37.0
700 9.01 × 10-6 43.2
800 1.03 × 10-5 49.4
900 1.16 × 10-5 55.5
1000 1.29 × 10-5 61.7
2000 2.57 × 10-5 123
3000 3.86 × 10-5 185
4000 5.15 × 10-5 247
5000 6.43 × 10-5 308
6000 7.72 × 10-5 370
7000 9.01 × 10-5 432
8000 1.03 × 10-4 494
9000 1.16 × 10-4 555
1.00 × 104 1.29 × 10-4 617
2.00 × 104 2.57 × 10-4 1230
3.00 × 104 3.86 × 10-4 1850
4.00 × 104 5.15 × 10-4 2470
5.00 × 104 6.43 × 10-4 3080
6.00 × 104 7.72 × 10-4 3700
7.00 × 104 9.01 × 10-4 4320
8.00 × 104 0.00103 4940
9.00 × 104 0.00116 5550
1.00 × 105 0.00129 6170
2.00 × 105 0.00257 1.23 × 104
3.00 × 105 0.00386 1.85 × 104
4.00 × 105 0.00515 2.47 × 104
5.00 × 105 0.00643 3.08 × 104
6.00 × 105 0.00772 3.70 × 104
7.00 × 105 0.00901 4.32 × 104
8.00 × 105 0.0103 4.94 × 104
9.00 × 105 0.0116 5.55 × 104
1.00 × 106 0.0129 6.17 × 104
2.00 × 106 0.0257 1.23 × 105
3.00 × 106 0.0386 1.85 × 105
4.00 × 106 0.0515 2.47 × 105
4.82 × 106 0.0620 2.97 × 105
Steel I Beam: S24 × 90 (S24 inch tall × 90 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 8.94 × 10-6 15.4
100 9.93 × 10-6 17.1
200 1.99 × 10-5 34.3
300 2.98 × 10-5 51.4
400 3.97 × 10-5 68.5
500 4.96 × 10-5 85.7
600 5.96 × 10-5 103
700 6.95 × 10-5 120
800 7.94 × 10-5 137
900 8.94 × 10-5 154
1000 9.93 × 10-5 171
2000 1.99 × 10-4 343
3000 2.98 × 10-4 514
4000 3.97 × 10-4 685
5000 4.96 × 10-4 857
6000 5.96 × 10-4 1030
7000 6.95 × 10-4 1200
8000 7.94 × 10-4 1370
9000 8.94 × 10-4 1540
1.00 × 104 9.93 × 10-4 1710
2.00 × 104 0.00199 3430
3.00 × 104 0.00298 5140
4.00 × 104 0.00397 6850
5.00 × 104 0.00496 8570
6.00 × 104 0.00596 1.03 × 104
7.00 × 104 0.00695 1.20 × 104
8.00 × 104 0.00794 1.37 × 104
9.00 × 104 0.00894 1.54 × 104
1.00 × 105 0.00993 1.71 × 104
2.00 × 105 0.0199 3.43 × 104
3.00 × 105 0.0298 5.14 × 104
4.00 × 105 0.0397 6.85 × 104
5.00 × 105 0.0496 8.57 × 104
6.00 × 105 0.0596 1.03 × 105
7.00 × 105 0.0695 1.20 × 105
8.00 × 105 0.0794 1.37 × 105
9.00 × 105 0.0894 1.54 × 105
1.00 × 106 0.0993 1.71 × 105
1.73 × 106 0.172 2.97 × 105
Steel I Beam: S24 × 90 (S24 inch tall × 90 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 1.43 × 10-4 61.7
100 1.59 × 10-4 68.5
200 3.18 × 10-4 137
300 4.77 × 10-4 206
400 6.35 × 10-4 274
500 7.94 × 10-4 343
600 9.53 × 10-4 411
700 0.00111 480
800 0.00127 548
900 0.00143 617
1000 0.00159 685
2000 0.00318 1370
3000 0.00477 2060
4000 0.00635 2740
5000 0.00794 3430
6000 0.00953 4110
7000 0.0111 4800
8000 0.0127 5480
9000 0.0143 6170
1.00 × 104 0.0159 6850
2.00 × 104 0.0318 1.37 × 104
3.00 × 104 0.0477 2.06 × 104
4.00 × 104 0.0635 2.74 × 104
5.00 × 104 0.0794 3.43 × 104
6.00 × 104 0.0953 4.11 × 104
7.00 × 104 0.111 4.80 × 104
8.00 × 104 0.127 5.48 × 104
9.00 × 104 0.143 6.17 × 104
1.00 × 105 0.159 6.85 × 104
2.00 × 105 0.318 1.37 × 105
3.00 × 105 0.477 2.06 × 105
4.00 × 105 0.635 2.74 × 105
4.33 × 105 0.688 2.97 × 105
Steel I Beam: S24 × 90 (S24 inch tall × 90 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 7.24 × 10-4 139
100 8.04 × 10-4 154
200 0.00161 308
300 0.00241 463
400 0.00322 617
500 0.00402 771
600 0.00483 925
700 0.00563 1080
800 0.00643 1230
900 0.00724 1390
1000 0.00804 1540
2000 0.0161 3080
3000 0.0241 4630
4000 0.0322 6170
5000 0.0402 7710
6000 0.0483 9250
7000 0.0563 1.08 × 104
8000 0.0643 1.23 × 104
9000 0.0724 1.39 × 104
1.00 × 104 0.0804 1.54 × 104
2.00 × 104 0.161 3.08 × 104
3.00 × 104 0.241 4.63 × 104
4.00 × 104 0.322 6.17 × 104
5.00 × 104 0.402 7.71 × 104
6.00 × 104 0.483 9.25 × 104
7.00 × 104 0.563 1.08 × 105
8.00 × 104 0.643 1.23 × 105
9.00 × 104 0.724 1.39 × 105
1.00 × 105 0.804 1.54 × 105
1.93 × 105 1.55 2.97 × 105
Steel I Beam: S24 × 90 (S24 inch tall × 90 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.00229 247
100 0.00254 274
200 0.00508 548
300 0.00763 823
400 0.0102 1100
500 0.0127 1370
600 0.0153 1650
700 0.0178 1920
800 0.0203 2190
900 0.0229 2470
1000 0.0254 2740
2000 0.0508 5480
3000 0.0763 8230
4000 0.102 1.10 × 104
5000 0.127 1.37 × 104
6000 0.153 1.65 × 104
7000 0.178 1.92 × 104
8000 0.203 2.19 × 104
9000 0.229 2.47 × 104
1.00 × 104 0.254 2.74 × 104
2.00 × 104 0.508 5.48 × 104
3.00 × 104 0.763 8.23 × 104
4.00 × 104 1.02 1.10 × 105
5.00 × 104 1.27 1.37 × 105
6.00 × 104 1.53 1.65 × 105
7.00 × 104 1.78 1.92 × 105
8.00 × 104 2.03 2.19 × 105
9.00 × 104 2.29 2.47 × 105
1.00 × 105 2.54 2.74 × 105
1.08 × 105 2.75 2.97 × 105
Steel I Beam: S24 × 90 (S24 inch tall × 90 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.00558 386
100 0.00621 428
200 0.0124 857
300 0.0186 1290
400 0.0248 1710
500 0.0310 2140
600 0.0372 2570
700 0.0434 3000
800 0.0496 3430
900 0.0558 3860
1000 0.0621 4280
2000 0.124 8570
3000 0.186 1.29 × 104
4000 0.248 1.71 × 104
5000 0.310 2.14 × 104
6000 0.372 2.57 × 104
7000 0.434 3.00 × 104
8000 0.496 3.43 × 104
9000 0.558 3.86 × 104
1.00 × 104 0.621 4.28 × 104
2.00 × 104 1.24 8.57 × 104
3.00 × 104 1.86 1.29 × 105
4.00 × 104 2.48 1.71 × 105
5.00 × 104 3.10 2.14 × 105
6.00 × 104 3.72 2.57 × 105
6.93 × 104 4.30 2.97 × 105
Steel I Beam: S24 × 90 (S24 inch tall × 90 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.0116 555
100 0.0129 617
200 0.0257 1230
300 0.0386 1850
400 0.0515 2470
500 0.0643 3080
600 0.0772 3700
700 0.0901 4320
800 0.103 4940
900 0.116 5550
1000 0.129 6170
2000 0.257 1.23 × 104
3000 0.386 1.85 × 104
4000 0.515 2.47 × 104
5000 0.643 3.08 × 104
6000 0.772 3.70 × 104
7000 0.901 4.32 × 104
8000 1.03 4.94 × 104
9000 1.16 5.55 × 104
1.00 × 104 1.29 6.17 × 104
2.00 × 104 2.57 1.23 × 105
3.00 × 104 3.86 1.85 × 105
4.00 × 104 5.15 2.47 × 105
4.82 × 104 6.20 2.97 × 105
Steel I Beam: S24 × 90 (S24 inch tall × 90 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.0366 987
100 0.0407 1100
200 0.0813 2190
300 0.122 3290
400 0.163 4390
500 0.203 5480
600 0.244 6580
700 0.285 7680
800 0.325 8770
900 0.366 9870
1000 0.407 1.10 × 104
2000 0.813 2.19 × 104
3000 1.22 3.29 × 104
4000 1.63 4.39 × 104
5000 2.03 5.48 × 104
6000 2.44 6.58 × 104
7000 2.85 7.68 × 104
8000 3.25 8.77 × 104
9000 3.66 9.87 × 104
1.00 × 104 4.07 1.10 × 105
2.00 × 104 8.13 2.19 × 105
2.71 × 104 11.0 2.97 × 105
Steel I Beam: S24 × 90 (S24 inch tall × 90 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.0894 1540
100 0.0993 1710
200 0.199 3430
300 0.298 5140
400 0.397 6850
500 0.496 8570
600 0.596 1.03 × 104
700 0.695 1.20 × 104
800 0.794 1.37 × 104
900 0.894 1.54 × 104
1000 0.993 1.71 × 104
2000 1.99 3.43 × 104
3000 2.98 5.14 × 104
4000 3.97 6.85 × 104
5000 4.96 8.57 × 104
6000 5.96 1.03 × 105
7000 6.95 1.20 × 105
8000 7.94 1.37 × 105
9000 8.94 1.54 × 105
1.00 × 104 9.93 1.71 × 105
1.73 × 104 17.2 2.97 × 105
Steel I Beam: S24 × 90 (S24 inch tall × 90 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.185 2220
100 0.206 2470
200 0.412 4940
300 0.618 7400
400 0.824 9870
500 1.03 1.23 × 104
600 1.24 1.48 × 104
700 1.44 1.73 × 104
800 1.65 1.97 × 104
900 1.85 2.22 × 104
1000 2.06 2.47 × 104
2000 4.12 4.94 × 104
3000 6.18 7.40 × 104
4000 8.24 9.87 × 104
5000 10.3 1.23 × 105
6000 12.4 1.48 × 105
7000 14.4 1.73 × 105
8000 16.5 1.97 × 105
9000 18.5 2.22 × 105
1.00 × 104 20.6 2.47 × 105
1.20 × 104 24.8 2.97 × 105
Steel I Beam: S24 × 90 (S24 inch tall × 90 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.343 3020
100 0.381 3360
200 0.763 6720
300 1.14 1.01 × 104
400 1.53 1.34 × 104
500 1.91 1.68 × 104
600 2.29 2.02 × 104
700 2.67 2.35 × 104
800 3.05 2.69 × 104
900 3.43 3.02 × 104
1000 3.81 3.36 × 104
2000 7.63 6.72 × 104
3000 11.4 1.01 × 105
4000 15.3 1.34 × 105
5000 19.1 1.68 × 105
6000 22.9 2.02 × 105
6290 24.0 2.11 × 105
Steel I Beam: S24 × 90 (S24 inch tall × 90 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.586 3950
100 0.651 4390
200 1.30 8770
300 1.95 1.32 × 104
400 2.60 1.75 × 104
500 3.25 2.19 × 104
600 3.90 2.63 × 104
700 4.55 3.07 × 104
800 5.21 3.51 × 104
900 5.86 3.95 × 104
1000 6.51 4.39 × 104
2000 13.0 8.77 × 104
3000 19.5 1.32 × 105
3690 24.0 1.62 × 105
Steel I Beam: S24 × 90 (S24 inch tall × 90 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.938 5000
100 1.04 5550
200 2.08 1.11 × 104
300 3.13 1.67 × 104
400 4.17 2.22 × 104
500 5.21 2.78 × 104
600 6.25 3.33 × 104
700 7.30 3.89 × 104
800 8.34 4.44 × 104
900 9.38 5.00 × 104
1000 10.4 5.55 × 104
2000 20.8 1.11 × 105
2300 24.0 1.28 × 105
Steel I Beam: S24 × 90 (S24 inch tall × 90 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 1.43 6170
100 1.59 6850
200 3.18 1.37 × 104
300 4.77 2.06 × 104
400 6.35 2.74 × 104
500 7.94 3.43 × 104
600 9.53 4.11 × 104
700 11.1 4.80 × 104
800 12.7 5.48 × 104
900 14.3 6.17 × 104
1000 15.9 6.85 × 104
1510 24.0 1.04 × 105
Steel I Beam: S24 × 90 (S24 inch tall × 90 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 3.49 9640
100 3.88 1.07 × 104
200 7.76 2.14 × 104
300 11.6 3.21 × 104
400 15.5 4.28 × 104
500 19.4 5.35 × 104
600 23.3 6.43 × 104
619 24.0 6.63 × 104
Steel I Beam: S24 × 90 (S24 inch tall × 90 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 7.24 1.39 × 104
100 8.04 1.54 × 104
200 16.1 3.08 × 104
298 24.0 4.60 × 104
Steel I Beam: S24 × 90 (S24 inch tall × 90 lbf/ft)
L = 200 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 22.9 2.47 × 104
94.4 24.0 2.59 × 104
Additional Information
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