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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » 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 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 = 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
   
Steel I Beam: S24 × 90 (S Section 24 inch tall × 90 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 2.39 × 10-6 6.48
100 2.66 × 10-6 7.20
200 5.32 × 10-6 14.4
300 7.98 × 10-6 21.6
400 1.06 × 10-5 28.8
500 1.33 × 10-5 36.0
600 1.60 × 10-5 43.2
700 1.86 × 10-5 50.4
800 2.13 × 10-5 57.6
900 2.39 × 10-5 64.8
1000 2.66 × 10-5 72.0
2000 5.32 × 10-5 144
3000 7.98 × 10-5 216
4000 1.06 × 10-4 288
5000 1.33 × 10-4 360
6000 1.60 × 10-4 432
7000 1.86 × 10-4 504
8000 2.13 × 10-4 576
9000 2.39 × 10-4 648
1.00 × 104 2.66 × 10-4 720
2.00 × 104 5.32 × 10-4 1440
3.00 × 104 7.98 × 10-4 2160
4.00 × 104 0.00106 2880
5.00 × 104 0.00133 3600
6.00 × 104 0.00160 4320
7.00 × 104 0.00186 5040
8.00 × 104 0.00213 5760
9.00 × 104 0.00239 6480
1.00 × 105 0.00266 7200
2.00 × 105 0.00532 1.44 × 104
3.00 × 105 0.00798 2.16 × 104
4.00 × 105 0.0106 2.88 × 104
5.00 × 105 0.0133 3.60 × 104
6.00 × 105 0.0160 4.32 × 104
7.00 × 105 0.0186 5.04 × 104
8.00 × 105 0.0213 5.76 × 104
9.00 × 105 0.0239 6.48 × 104
1.00 × 106 0.0266 7.20 × 104
2.00 × 106 0.0532 1.44 × 105
3.00 × 106 0.0798 2.16 × 105
4.00 × 106 0.106 2.88 × 105
4.13 × 106 0.110 2.97 × 105
Steel I Beam: S24 × 90 (S Section 24 inch tall × 90 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 1.85 × 10-5 18.0
100 2.05 × 10-5 20.0
200 4.10 × 10-5 40.0
300 6.16 × 10-5 60.0
400 8.21 × 10-5 80.0
500 1.03 × 10-4 100
600 1.23 × 10-4 120
700 1.44 × 10-4 140
800 1.64 × 10-4 160
900 1.85 × 10-4 180
1000 2.05 × 10-4 200
2000 4.10 × 10-4 400
3000 6.16 × 10-4 600
4000 8.21 × 10-4 800
5000 0.00103 1000
6000 0.00123 1200
7000 0.00144 1400
8000 0.00164 1600
9000 0.00185 1800
1.00 × 104 0.00205 2000
2.00 × 104 0.00410 4000
3.00 × 104 0.00616 6000
4.00 × 104 0.00821 8000
5.00 × 104 0.0103 1.00 × 104
6.00 × 104 0.0123 1.20 × 104
7.00 × 104 0.0144 1.40 × 104
8.00 × 104 0.0164 1.60 × 104
9.00 × 104 0.0185 1.80 × 104
1.00 × 105 0.0205 2.00 × 104
2.00 × 105 0.0410 4.00 × 104
3.00 × 105 0.0616 6.00 × 104
4.00 × 105 0.0821 8.00 × 104
5.00 × 105 0.103 1.00 × 105
6.00 × 105 0.123 1.20 × 105
7.00 × 105 0.144 1.40 × 105
8.00 × 105 0.164 1.60 × 105
9.00 × 105 0.185 1.80 × 105
1.00 × 106 0.205 2.00 × 105
1.49 × 106 0.305 2.97 × 105
Steel I Beam: S24 × 90 (S Section 24 inch tall × 90 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 2.95 × 10-4 72.0
100 3.28 × 10-4 80.0
200 6.57 × 10-4 160
300 9.85 × 10-4 240
400 0.00131 320
500 0.00164 400
600 0.00197 480
700 0.00230 560
800 0.00263 640
900 0.00295 720
1000 0.00328 800
2000 0.00657 1600
3000 0.00985 2400
4000 0.0131 3200
5000 0.0164 4000
6000 0.0197 4800
7000 0.0230 5600
8000 0.0263 6400
9000 0.0295 7200
1.00 × 104 0.0328 8000
2.00 × 104 0.0657 1.60 × 104
3.00 × 104 0.0985 2.40 × 104
4.00 × 104 0.131 3.20 × 104
5.00 × 104 0.164 4.00 × 104
6.00 × 104 0.197 4.80 × 104
7.00 × 104 0.230 5.60 × 104
8.00 × 104 0.263 6.40 × 104
9.00 × 104 0.295 7.20 × 104
1.00 × 105 0.328 8.00 × 104
2.00 × 105 0.657 1.60 × 105
3.00 × 105 0.985 2.40 × 105
3.71 × 105 1.22 2.97 × 105
Steel I Beam: S24 × 90 (S Section 24 inch tall × 90 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.00150 162
100 0.00166 180
200 0.00332 360
300 0.00499 540
400 0.00665 720
500 0.00831 900
600 0.00997 1080
700 0.0116 1260
800 0.0133 1440
900 0.0150 1620
1000 0.0166 1800
2000 0.0332 3600
3000 0.0499 5400
4000 0.0665 7200
5000 0.0831 9000
6000 0.0997 1.08 × 104
7000 0.116 1.26 × 104
8000 0.133 1.44 × 104
9000 0.150 1.62 × 104
1.00 × 104 0.166 1.80 × 104
2.00 × 104 0.332 3.60 × 104
3.00 × 104 0.499 5.40 × 104
4.00 × 104 0.665 7.20 × 104
5.00 × 104 0.831 9.00 × 104
6.00 × 104 0.997 1.08 × 105
7.00 × 104 1.16 1.26 × 105
8.00 × 104 1.33 1.44 × 105
9.00 × 104 1.50 1.62 × 105
1.00 × 105 1.66 1.80 × 105
1.65 × 105 2.74 2.97 × 105
Steel I Beam: S24 × 90 (S Section 24 inch tall × 90 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.00473 288
100 0.00525 320
200 0.0105 640
300 0.0158 960
400 0.0210 1280
500 0.0263 1600
600 0.0315 1920
700 0.0368 2240
800 0.0420 2560
900 0.0473 2880
1000 0.0525 3200
2000 0.105 6400
3000 0.158 9600
4000 0.210 1.28 × 104
5000 0.263 1.60 × 104
6000 0.315 1.92 × 104
7000 0.368 2.24 × 104
8000 0.420 2.56 × 104
9000 0.473 2.88 × 104
1.00 × 104 0.525 3.20 × 104
2.00 × 104 1.05 6.40 × 104
3.00 × 104 1.58 9.60 × 104
4.00 × 104 2.10 1.28 × 105
5.00 × 104 2.63 1.60 × 105
6.00 × 104 3.15 1.92 × 105
7.00 × 104 3.68 2.24 × 105
8.00 × 104 4.20 2.56 × 105
9.00 × 104 4.73 2.88 × 105
9.28 × 104 4.88 2.97 × 105
Steel I Beam: S24 × 90 (S Section 24 inch tall × 90 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.0115 450
100 0.0128 500
200 0.0257 1000
300 0.0385 1500
400 0.0513 2000
500 0.0641 2500
600 0.0770 3000
700 0.0898 3500
800 0.103 4000
900 0.115 4500
1000 0.128 5000
2000 0.257 1.00 × 104
3000 0.385 1.50 × 104
4000 0.513 2.00 × 104
5000 0.641 2.50 × 104
6000 0.770 3.00 × 104
7000 0.898 3.50 × 104
8000 1.03 4.00 × 104
9000 1.15 4.50 × 104
1.00 × 104 1.28 5.00 × 104
2.00 × 104 2.57 1.00 × 105
3.00 × 104 3.85 1.50 × 105
4.00 × 104 5.13 2.00 × 105
5.00 × 104 6.41 2.50 × 105
5.94 × 104 7.62 2.97 × 105
Steel I Beam: S24 × 90 (S Section 24 inch tall × 90 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.0239 648
100 0.0266 720
200 0.0532 1440
300 0.0798 2160
400 0.106 2880
500 0.133 3600
600 0.160 4320
700 0.186 5040
800 0.213 5760
900 0.239 6480
1000 0.266 7200
2000 0.532 1.44 × 104
3000 0.798 2.16 × 104
4000 1.06 2.88 × 104
5000 1.33 3.60 × 104
6000 1.60 4.32 × 104
7000 1.86 5.04 × 104
8000 2.13 5.76 × 104
9000 2.39 6.48 × 104
1.00 × 104 2.66 7.20 × 104
2.00 × 104 5.32 1.44 × 105
3.00 × 104 7.98 2.16 × 105
4.00 × 104 10.6 2.88 × 105
4.13 × 104 11.0 2.97 × 105
Steel I Beam: S24 × 90 (S Section 24 inch tall × 90 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.0756 1150
100 0.0841 1280
200 0.168 2560
300 0.252 3840
400 0.336 5120
500 0.420 6400
600 0.504 7680
700 0.588 8960
800 0.672 1.02 × 104
900 0.756 1.15 × 104
1000 0.841 1.28 × 104
2000 1.68 2.56 × 104
3000 2.52 3.84 × 104
4000 3.36 5.12 × 104
5000 4.20 6.40 × 104
6000 5.04 7.68 × 104
7000 5.88 8.96 × 104
8000 6.72 1.02 × 105
9000 7.56 1.15 × 105
1.00 × 104 8.41 1.28 × 105
2.00 × 104 16.8 2.56 × 105
2.32 × 104 19.5 2.97 × 105
Steel I Beam: S24 × 90 (S Section 24 inch tall × 90 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.185 1800
100 0.205 2000
200 0.410 4000
300 0.616 6000
400 0.821 8000
500 1.03 1.00 × 104
600 1.23 1.20 × 104
700 1.44 1.40 × 104
800 1.64 1.60 × 104
900 1.85 1.80 × 104
1000 2.05 2.00 × 104
2000 4.10 4.00 × 104
3000 6.16 6.00 × 104
4000 8.21 8.00 × 104
5000 10.3 1.00 × 105
6000 12.3 1.20 × 105
7000 14.4 1.40 × 105
8000 16.4 1.60 × 105
9000 18.5 1.80 × 105
1.00 × 104 20.5 2.00 × 105
1.49 × 104 30.5 2.97 × 105
Steel I Beam: S24 × 90 (S Section 24 inch tall × 90 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.383 2590
100 0.426 2880
200 0.851 5760
300 1.28 8640
400 1.70 1.15 × 104
500 2.13 1.44 × 104
600 2.55 1.73 × 104
700 2.98 2.02 × 104
800 3.40 2.30 × 104
900 3.83 2.59 × 104
1000 4.26 2.88 × 104
2000 8.51 5.76 × 104
3000 12.8 8.64 × 104
4000 17.0 1.15 × 105
5000 21.3 1.44 × 105
5640 24.0 1.62 × 105
Steel I Beam: S24 × 90 (S Section 24 inch tall × 90 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 0.709 3530
100 0.788 3920
200 1.58 7840
300 2.36 1.18 × 104
400 3.15 1.57 × 104
500 3.94 1.96 × 104
600 4.73 2.35 × 104
700 5.52 2.74 × 104
800 6.31 3.14 × 104
900 7.09 3.53 × 104
1000 7.88 3.92 × 104
2000 15.8 7.84 × 104
3000 23.6 1.18 × 105
3040 24.0 1.19 × 105
Steel I Beam: S24 × 90 (S Section 24 inch tall × 90 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 1.21 4610
100 1.34 5120
200 2.69 1.02 × 104
300 4.03 1.54 × 104
400 5.38 2.05 × 104
500 6.72 2.56 × 104
600 8.07 3.07 × 104
700 9.41 3.58 × 104
800 10.8 4.10 × 104
900 12.1 4.61 × 104
1000 13.4 5.12 × 104
1780 24.0 9.14 × 104
Steel I Beam: S24 × 90 (S Section 24 inch tall × 90 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 1.94 5830
100 2.15 6480
200 4.31 1.30 × 104
300 6.46 1.94 × 104
400 8.62 2.59 × 104
500 10.8 3.24 × 104
600 12.9 3.89 × 104
700 15.1 4.54 × 104
800 17.2 5.18 × 104
900 19.4 5.83 × 104
1000 21.5 6.48 × 104
1110 24.0 7.22 × 104
Steel I Beam: S24 × 90 (S Section 24 inch tall × 90 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 2.95 7200
100 3.28 8000
200 6.57 1.60 × 104
300 9.85 2.40 × 104
400 13.1 3.20 × 104
500 16.4 4.00 × 104
600 19.7 4.80 × 104
700 23.0 5.60 × 104
731 24.0 5.85 × 104
Steel I Beam: S24 × 90 (S Section 24 inch tall × 90 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 7.21 1.13 × 104
100 8.02 1.25 × 104
200 16.0 2.50 × 104
299 24.0 3.74 × 104
Steel I Beam: S24 × 90 (S Section 24 inch tall × 90 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
90.0 15.0 1.62 × 104
100 16.6 1.80 × 104
144 24.0 2.60 × 104
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3D Scanners

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

Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

Mechanical Engineers Outlook

Guide for those interested in becoming a mechanical engineer. Includes qualifications, pay, and job duties.

CNC Machining Design Guide

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

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