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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » Wide Flange Steel I Beam » W24 × 68
Wide Flange 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 = 1830 in4) for the W24 × 68 Wide Flange 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: W24 × 68 (Wide Flange 24 inch tall × 68 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
68.0 2.22 × 10-6 5.95
70.0 2.29 × 10-6 6.13
80.0 2.62 × 10-6 7.00
90.0 2.94 × 10-6 7.88
100 3.27 × 10-6 8.75
200 6.54 × 10-6 17.5
300 9.81 × 10-6 26.3
400 1.31 × 10-5 35.0
500 1.63 × 10-5 43.8
600 1.96 × 10-5 52.5
700 2.29 × 10-5 61.3
800 2.62 × 10-5 70.0
900 2.94 × 10-5 78.8
1000 3.27 × 10-5 87.5
2000 6.54 × 10-5 175
3000 9.81 × 10-5 263
4000 1.31 × 10-4 350
5000 1.63 × 10-4 438
6000 1.96 × 10-4 525
7000 2.29 × 10-4 613
8000 2.62 × 10-4 700
9000 2.94 × 10-4 788
1.00 × 104 3.27 × 10-4 875
2.00 × 104 6.54 × 10-4 1750
3.00 × 104 9.81 × 10-4 2630
4.00 × 104 0.00131 3500
5.00 × 104 0.00163 4380
6.00 × 104 0.00196 5250
7.00 × 104 0.00229 6130
8.00 × 104 0.00262 7000
9.00 × 104 0.00294 7880
1.00 × 105 0.00327 8750
2.00 × 105 0.00654 1.75 × 104
3.00 × 105 0.00981 2.63 × 104
4.00 × 105 0.0131 3.50 × 104
5.00 × 105 0.0163 4.38 × 104
6.00 × 105 0.0196 5.25 × 104
7.00 × 105 0.0229 6.13 × 104
8.00 × 105 0.0262 7.00 × 104
9.00 × 105 0.0294 7.88 × 104
1.00 × 106 0.0327 8.75 × 104
2.00 × 106 0.0654 1.75 × 105
3.00 × 106 0.0981 2.63 × 105
3.39 × 106 0.111 2.97 × 105
Steel I Beam: W24 × 68 (Wide Flange 24 inch tall × 68 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
68.0 1.72 × 10-5 16.5
70.0 1.77 × 10-5 17.0
80.0 2.02 × 10-5 19.5
90.0 2.27 × 10-5 21.9
100 2.52 × 10-5 24.3
200 5.05 × 10-5 48.6
300 7.57 × 10-5 72.9
400 1.01 × 10-4 97.3
500 1.26 × 10-4 122
600 1.51 × 10-4 146
700 1.77 × 10-4 170
800 2.02 × 10-4 195
900 2.27 × 10-4 219
1000 2.52 × 10-4 243
2000 5.05 × 10-4 486
3000 7.57 × 10-4 729
4000 0.00101 973
5000 0.00126 1220
6000 0.00151 1460
7000 0.00177 1700
8000 0.00202 1950
9000 0.00227 2190
1.00 × 104 0.00252 2430
2.00 × 104 0.00505 4860
3.00 × 104 0.00757 7290
4.00 × 104 0.0101 9730
5.00 × 104 0.0126 1.22 × 104
6.00 × 104 0.0151 1.46 × 104
7.00 × 104 0.0177 1.70 × 104
8.00 × 104 0.0202 1.95 × 104
9.00 × 104 0.0227 2.19 × 104
1.00 × 105 0.0252 2.43 × 104
2.00 × 105 0.0505 4.86 × 104
3.00 × 105 0.0757 7.29 × 104
4.00 × 105 0.101 9.73 × 104
5.00 × 105 0.126 1.22 × 105
6.00 × 105 0.151 1.46 × 105
7.00 × 105 0.177 1.70 × 105
8.00 × 105 0.202 1.95 × 105
9.00 × 105 0.227 2.19 × 105
1.00 × 106 0.252 2.43 × 105
1.22 × 106 0.308 2.97 × 105
Steel I Beam: W24 × 68 (Wide Flange 24 inch tall × 68 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
68.0 2.74 × 10-4 66.1
70.0 2.83 × 10-4 68.1
80.0 3.23 × 10-4 77.8
90.0 3.63 × 10-4 87.5
100 4.04 × 10-4 97.3
200 8.07 × 10-4 195
300 0.00121 292
400 0.00161 389
500 0.00202 486
600 0.00242 584
700 0.00283 681
800 0.00323 778
900 0.00363 875
1000 0.00404 973
2000 0.00807 1950
3000 0.0121 2920
4000 0.0161 3890
5000 0.0202 4860
6000 0.0242 5840
7000 0.0283 6810
8000 0.0323 7780
9000 0.0363 8750
1.00 × 104 0.0404 9730
2.00 × 104 0.0807 1.95 × 104
3.00 × 104 0.121 2.92 × 104
4.00 × 104 0.161 3.89 × 104
5.00 × 104 0.202 4.86 × 104
6.00 × 104 0.242 5.84 × 104
7.00 × 104 0.283 6.81 × 104
8.00 × 104 0.323 7.78 × 104
9.00 × 104 0.363 8.75 × 104
1.00 × 105 0.404 9.73 × 104
2.00 × 105 0.807 1.95 × 105
3.00 × 105 1.21 2.92 × 105
3.05 × 105 1.23 2.97 × 105
Steel I Beam: W24 × 68 (Wide Flange 24 inch tall × 68 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
68.0 0.00139 149
70.0 0.00143 153
80.0 0.00163 175
90.0 0.00184 197
100 0.00204 219
200 0.00409 438
300 0.00613 656
400 0.00817 875
500 0.0102 1090
600 0.0123 1310
700 0.0143 1530
800 0.0163 1750
900 0.0184 1970
1000 0.0204 2190
2000 0.0409 4380
3000 0.0613 6560
4000 0.0817 8750
5000 0.102 1.09 × 104
6000 0.123 1.31 × 104
7000 0.143 1.53 × 104
8000 0.163 1.75 × 104
9000 0.184 1.97 × 104
1.00 × 104 0.204 2.19 × 104
2.00 × 104 0.409 4.38 × 104
3.00 × 104 0.613 6.56 × 104
4.00 × 104 0.817 8.75 × 104
5.00 × 104 1.02 1.09 × 105
6.00 × 104 1.23 1.31 × 105
7.00 × 104 1.43 1.53 × 105
8.00 × 104 1.63 1.75 × 105
9.00 × 104 1.84 1.97 × 105
1.00 × 105 2.04 2.19 × 105
1.36 × 105 2.77 2.97 × 105
Steel I Beam: W24 × 68 (Wide Flange 24 inch tall × 68 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
68.0 0.00439 265
70.0 0.00452 272
80.0 0.00517 311
90.0 0.00581 350
100 0.00646 389
200 0.0129 778
300 0.0194 1170
400 0.0258 1560
500 0.0323 1950
600 0.0388 2330
700 0.0452 2720
800 0.0517 3110
900 0.0581 3500
1000 0.0646 3890
2000 0.129 7780
3000 0.194 1.17 × 104
4000 0.258 1.56 × 104
5000 0.323 1.95 × 104
6000 0.388 2.33 × 104
7000 0.452 2.72 × 104
8000 0.517 3.11 × 104
9000 0.581 3.50 × 104
1.00 × 104 0.646 3.89 × 104
2.00 × 104 1.29 7.78 × 104
3.00 × 104 1.94 1.17 × 105
4.00 × 104 2.58 1.56 × 105
5.00 × 104 3.23 1.95 × 105
6.00 × 104 3.88 2.33 × 105
7.00 × 104 4.52 2.72 × 105
7.64 × 104 4.93 2.97 × 105
Steel I Beam: W24 × 68 (Wide Flange 24 inch tall × 68 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
68.0 0.0107 413
70.0 0.0110 425
80.0 0.0126 486
90.0 0.0142 547
100 0.0158 608
200 0.0315 1220
300 0.0473 1820
400 0.0631 2430
500 0.0788 3040
600 0.0946 3650
700 0.110 4250
800 0.126 4860
900 0.142 5470
1000 0.158 6080
2000 0.315 1.22 × 104
3000 0.473 1.82 × 104
4000 0.631 2.43 × 104
5000 0.788 3.04 × 104
6000 0.946 3.65 × 104
7000 1.10 4.25 × 104
8000 1.26 4.86 × 104
9000 1.42 5.47 × 104
1.00 × 104 1.58 6.08 × 104
2.00 × 104 3.15 1.22 × 105
3.00 × 104 4.73 1.82 × 105
4.00 × 104 6.31 2.43 × 105
4.89 × 104 7.71 2.97 × 105
Steel I Beam: W24 × 68 (Wide Flange 24 inch tall × 68 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
68.0 0.0222 595
70.0 0.0229 613
80.0 0.0262 700
90.0 0.0294 788
100 0.0327 875
200 0.0654 1750
300 0.0981 2630
400 0.131 3500
500 0.163 4380
600 0.196 5250
700 0.229 6130
800 0.262 7000
900 0.294 7880
1000 0.327 8750
2000 0.654 1.75 × 104
3000 0.981 2.63 × 104
4000 1.31 3.50 × 104
5000 1.63 4.38 × 104
6000 1.96 5.25 × 104
7000 2.29 6.13 × 104
8000 2.62 7.00 × 104
9000 2.94 7.88 × 104
1.00 × 104 3.27 8.75 × 104
2.00 × 104 6.54 1.75 × 105
3.00 × 104 9.81 2.63 × 105
3.39 × 104 11.1 2.97 × 105
Steel I Beam: W24 × 68 (Wide Flange 24 inch tall × 68 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
68.0 0.0703 1060
70.0 0.0723 1090
80.0 0.0827 1240
90.0 0.0930 1400
100 0.103 1560
200 0.207 3110
300 0.310 4670
400 0.413 6220
500 0.517 7780
600 0.620 9340
700 0.723 1.09 × 104
800 0.827 1.24 × 104
900 0.930 1.40 × 104
1000 1.03 1.56 × 104
2000 2.07 3.11 × 104
3000 3.10 4.67 × 104
4000 4.13 6.22 × 104
5000 5.17 7.78 × 104
6000 6.20 9.34 × 104
7000 7.23 1.09 × 105
8000 8.27 1.24 × 105
9000 9.30 1.40 × 105
1.00 × 104 10.3 1.56 × 105
1.91 × 104 19.7 2.97 × 105
Steel I Beam: W24 × 68 (Wide Flange 24 inch tall × 68 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
68.0 0.172 1650
70.0 0.177 1700
80.0 0.202 1950
90.0 0.227 2190
100 0.252 2430
200 0.505 4860
300 0.757 7290
400 1.01 9730
500 1.26 1.22 × 104
600 1.51 1.46 × 104
700 1.77 1.70 × 104
800 2.02 1.95 × 104
900 2.27 2.19 × 104
1000 2.52 2.43 × 104
2000 5.05 4.86 × 104
3000 7.57 7.29 × 104
4000 10.1 9.73 × 104
5000 12.6 1.22 × 105
6000 15.1 1.46 × 105
7000 17.7 1.70 × 105
8000 20.2 1.95 × 105
9000 22.7 2.19 × 105
9410 23.7 2.29 × 105
Steel I Beam: W24 × 68 (Wide Flange 24 inch tall × 68 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
68.0 0.356 2380
70.0 0.366 2450
80.0 0.419 2800
90.0 0.471 3150
100 0.523 3500
200 1.05 7000
300 1.57 1.05 × 104
400 2.09 1.40 × 104
500 2.62 1.75 × 104
600 3.14 2.10 × 104
700 3.66 2.45 × 104
800 4.19 2.80 × 104
900 4.71 3.15 × 104
1000 5.23 3.50 × 104
2000 10.5 7.00 × 104
3000 15.7 1.05 × 105
4000 20.9 1.40 × 105
4540 23.7 1.59 × 105
Steel I Beam: W24 × 68 (Wide Flange 24 inch tall × 68 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
68.0 0.659 3240
70.0 0.678 3340
80.0 0.775 3810
90.0 0.872 4290
100 0.969 4770
200 1.94 9530
300 2.91 1.43 × 104
400 3.88 1.91 × 104
500 4.85 2.38 × 104
600 5.82 2.86 × 104
700 6.78 3.34 × 104
800 7.75 3.81 × 104
900 8.72 4.29 × 104
1000 9.69 4.77 × 104
2000 19.4 9.53 × 104
2450 23.7 1.17 × 105
Steel I Beam: W24 × 68 (Wide Flange 24 inch tall × 68 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
68.0 1.12 4230
70.0 1.16 4360
80.0 1.32 4980
90.0 1.49 5600
100 1.65 6220
200 3.31 1.24 × 104
300 4.96 1.87 × 104
400 6.61 2.49 × 104
500 8.27 3.11 × 104
600 9.92 3.73 × 104
700 11.6 4.36 × 104
800 13.2 4.98 × 104
900 14.9 5.60 × 104
1000 16.5 6.22 × 104
1440 23.7 8.93 × 104
Steel I Beam: W24 × 68 (Wide Flange 24 inch tall × 68 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
68.0 1.80 5360
70.0 1.85 5510
80.0 2.12 6300
90.0 2.38 7090
100 2.65 7880
200 5.30 1.58 × 104
300 7.95 2.36 × 104
400 10.6 3.15 × 104
500 13.2 3.94 × 104
600 15.9 4.73 × 104
700 18.5 5.51 × 104
800 21.2 6.30 × 104
896 23.7 7.06 × 104
Steel I Beam: W24 × 68 (Wide Flange 24 inch tall × 68 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
68.0 2.74 6610
70.0 2.83 6810
80.0 3.23 7780
90.0 3.63 8750
100 4.04 9730
200 8.07 1.95 × 104
300 12.1 2.92 × 104
400 16.1 3.89 × 104
500 20.2 4.86 × 104
588 23.7 5.72 × 104
Steel I Beam: W24 × 68 (Wide Flange 24 inch tall × 68 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
68.0 6.70 1.03 × 104
70.0 6.90 1.06 × 104
80.0 7.88 1.22 × 104
90.0 8.87 1.37 × 104
100 9.86 1.52 × 104
200 19.7 3.04 × 104
241 23.7 3.66 × 104
Steel I Beam: W24 × 68 (Wide Flange 24 inch tall × 68 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
68.0 13.9 1.49 × 104
70.0 14.3 1.53 × 104
80.0 16.3 1.75 × 104
90.0 18.4 1.97 × 104
100 20.4 2.19 × 104
116 23.7 2.54 × 104
Additional Information
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FREE Publications
Metal 3D Printing Design Guide

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

Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

3D Scanners

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

Mechanical Engineers Outlook

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

more publications