CNC Machining Design Guide

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

Selecting the Right 3D Printer

Discover how to choose the right 3D printer for your needs and the key performance attributes to consider.

STEM Career Outlook

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

Mechanical Engineers Outlook

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

more free publications

Materials

Design

Processes

Units

Formulas

Math
Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W24 × 76
Wide Flange Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in three equal spans, we compute the displacement at the middle of the first and the third spans, and the maximum normal stress stress_max occuring at the second and third supports of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 2100 in4) for the W24 × 76 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
L = 200 ft
   
Steel I Beam: W24 × 76 (Wide Flange 24 inch tall × 76 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
76.0 1.13 × 10-6 4.67
80.0 1.19 × 10-6 4.92
90.0 1.34 × 10-6 5.54
100 1.49 × 10-6 6.15
200 2.98 × 10-6 12.3
300 4.46 × 10-6 18.5
400 5.95 × 10-6 24.6
500 7.44 × 10-6 30.8
600 8.93 × 10-6 36.9
700 1.04 × 10-5 43.1
800 1.19 × 10-5 49.2
900 1.34 × 10-5 55.4
1000 1.49 × 10-5 61.5
2000 2.98 × 10-5 123
3000 4.46 × 10-5 185
4000 5.95 × 10-5 246
5000 7.44 × 10-5 308
6000 8.93 × 10-5 369
7000 1.04 × 10-4 431
8000 1.19 × 10-4 492
9000 1.34 × 10-4 554
1.00 × 104 1.49 × 10-4 615
2.00 × 104 2.98 × 10-4 1230
3.00 × 104 4.46 × 10-4 1850
4.00 × 104 5.95 × 10-4 2460
5.00 × 104 7.44 × 10-4 3080
6.00 × 104 8.93 × 10-4 3690
7.00 × 104 0.00104 4310
8.00 × 104 0.00119 4920
9.00 × 104 0.00134 5540
1.00 × 105 0.00149 6150
2.00 × 105 0.00298 1.23 × 104
3.00 × 105 0.00446 1.85 × 104
4.00 × 105 0.00595 2.46 × 104
5.00 × 105 0.00744 3.08 × 104
6.00 × 105 0.00893 3.69 × 104
7.00 × 105 0.0104 4.31 × 104
8.00 × 105 0.0119 4.92 × 104
9.00 × 105 0.0134 5.54 × 104
1.00 × 106 0.0149 6.15 × 104
2.00 × 106 0.0298 1.23 × 105
3.00 × 106 0.0446 1.85 × 105
4.00 × 106 0.0595 2.46 × 105
4.83 × 106 0.0719 2.97 × 105
Steel I Beam: W24 × 76 (Wide Flange 24 inch tall × 76 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
76.0 8.73 × 10-6 13.0
80.0 9.19 × 10-6 13.7
90.0 1.03 × 10-5 15.4
100 1.15 × 10-5 17.1
200 2.30 × 10-5 34.2
300 3.44 × 10-5 51.3
400 4.59 × 10-5 68.3
500 5.74 × 10-5 85.4
600 6.89 × 10-5 103
700 8.04 × 10-5 120
800 9.19 × 10-5 137
900 1.03 × 10-4 154
1000 1.15 × 10-4 171
2000 2.30 × 10-4 342
3000 3.44 × 10-4 513
4000 4.59 × 10-4 683
5000 5.74 × 10-4 854
6000 6.89 × 10-4 1030
7000 8.04 × 10-4 1200
8000 9.19 × 10-4 1370
9000 0.00103 1540
1.00 × 104 0.00115 1710
2.00 × 104 0.00230 3420
3.00 × 104 0.00344 5130
4.00 × 104 0.00459 6830
5.00 × 104 0.00574 8540
6.00 × 104 0.00689 1.03 × 104
7.00 × 104 0.00804 1.20 × 104
8.00 × 104 0.00919 1.37 × 104
9.00 × 104 0.0103 1.54 × 104
1.00 × 105 0.0115 1.71 × 104
2.00 × 105 0.0230 3.42 × 104
3.00 × 105 0.0344 5.13 × 104
4.00 × 105 0.0459 6.83 × 104
5.00 × 105 0.0574 8.54 × 104
6.00 × 105 0.0689 1.03 × 105
7.00 × 105 0.0804 1.20 × 105
8.00 × 105 0.0919 1.37 × 105
9.00 × 105 0.103 1.54 × 105
1.00 × 106 0.115 1.71 × 105
1.74 × 106 0.200 2.97 × 105
Steel I Beam: W24 × 76 (Wide Flange 24 inch tall × 76 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
76.0 1.40 × 10-4 51.9
80.0 1.47 × 10-4 54.7
90.0 1.65 × 10-4 61.5
100 1.84 × 10-4 68.3
200 3.67 × 10-4 137
300 5.51 × 10-4 205
400 7.35 × 10-4 273
500 9.19 × 10-4 342
600 0.00110 410
700 0.00129 478
800 0.00147 547
900 0.00165 615
1000 0.00184 683
2000 0.00367 1370
3000 0.00551 2050
4000 0.00735 2730
5000 0.00919 3420
6000 0.0110 4100
7000 0.0129 4780
8000 0.0147 5470
9000 0.0165 6150
1.00 × 104 0.0184 6830
2.00 × 104 0.0367 1.37 × 104
3.00 × 104 0.0551 2.05 × 104
4.00 × 104 0.0735 2.73 × 104
5.00 × 104 0.0919 3.42 × 104
6.00 × 104 0.110 4.10 × 104
7.00 × 104 0.129 4.78 × 104
8.00 × 104 0.147 5.47 × 104
9.00 × 104 0.165 6.15 × 104
1.00 × 105 0.184 6.83 × 104
2.00 × 105 0.367 1.37 × 105
3.00 × 105 0.551 2.05 × 105
4.00 × 105 0.735 2.73 × 105
4.35 × 105 0.798 2.97 × 105
Steel I Beam: W24 × 76 (Wide Flange 24 inch tall × 76 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
76.0 7.07 × 10-4 117
80.0 7.44 × 10-4 123
90.0 8.37 × 10-4 138
100 9.30 × 10-4 154
200 0.00186 308
300 0.00279 461
400 0.00372 615
500 0.00465 769
600 0.00558 923
700 0.00651 1080
800 0.00744 1230
900 0.00837 1380
1000 0.00930 1540
2000 0.0186 3080
3000 0.0279 4610
4000 0.0372 6150
5000 0.0465 7690
6000 0.0558 9230
7000 0.0651 1.08 × 104
8000 0.0744 1.23 × 104
9000 0.0837 1.38 × 104
1.00 × 104 0.0930 1.54 × 104
2.00 × 104 0.186 3.08 × 104
3.00 × 104 0.279 4.61 × 104
4.00 × 104 0.372 6.15 × 104
5.00 × 104 0.465 7.69 × 104
6.00 × 104 0.558 9.23 × 104
7.00 × 104 0.651 1.08 × 105
8.00 × 104 0.744 1.23 × 105
9.00 × 104 0.837 1.38 × 105
1.00 × 105 0.930 1.54 × 105
1.93 × 105 1.80 2.97 × 105
Steel I Beam: W24 × 76 (Wide Flange 24 inch tall × 76 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
76.0 0.00223 208
80.0 0.00235 219
90.0 0.00265 246
100 0.00294 273
200 0.00588 547
300 0.00882 820
400 0.0118 1090
500 0.0147 1370
600 0.0176 1640
700 0.0206 1910
800 0.0235 2190
900 0.0265 2460
1000 0.0294 2730
2000 0.0588 5470
3000 0.0882 8200
4000 0.118 1.09 × 104
5000 0.147 1.37 × 104
6000 0.176 1.64 × 104
7000 0.206 1.91 × 104
8000 0.235 2.19 × 104
9000 0.265 2.46 × 104
1.00 × 104 0.294 2.73 × 104
2.00 × 104 0.588 5.47 × 104
3.00 × 104 0.882 8.20 × 104
4.00 × 104 1.18 1.09 × 105
5.00 × 104 1.47 1.37 × 105
6.00 × 104 1.76 1.64 × 105
7.00 × 104 2.06 1.91 × 105
8.00 × 104 2.35 2.19 × 105
9.00 × 104 2.65 2.46 × 105
1.00 × 105 2.94 2.73 × 105
1.09 × 105 3.19 2.97 × 105
Steel I Beam: W24 × 76 (Wide Flange 24 inch tall × 76 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
76.0 0.00545 325
80.0 0.00574 342
90.0 0.00646 384
100 0.00718 427
200 0.0144 854
300 0.0215 1280
400 0.0287 1710
500 0.0359 2140
600 0.0431 2560
700 0.0502 2990
800 0.0574 3420
900 0.0646 3840
1000 0.0718 4270
2000 0.144 8540
3000 0.215 1.28 × 104
4000 0.287 1.71 × 104
5000 0.359 2.14 × 104
6000 0.431 2.56 × 104
7000 0.502 2.99 × 104
8000 0.574 3.42 × 104
9000 0.646 3.84 × 104
1.00 × 104 0.718 4.27 × 104
2.00 × 104 1.44 8.54 × 104
3.00 × 104 2.15 1.28 × 105
4.00 × 104 2.87 1.71 × 105
5.00 × 104 3.59 2.14 × 105
6.00 × 104 4.31 2.56 × 105
6.95 × 104 4.99 2.97 × 105
Steel I Beam: W24 × 76 (Wide Flange 24 inch tall × 76 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
76.0 0.0113 467
80.0 0.0119 492
90.0 0.0134 554
100 0.0149 615
200 0.0298 1230
300 0.0446 1850
400 0.0595 2460
500 0.0744 3080
600 0.0893 3690
700 0.104 4310
800 0.119 4920
900 0.134 5540
1000 0.149 6150
2000 0.298 1.23 × 104
3000 0.446 1.85 × 104
4000 0.595 2.46 × 104
5000 0.744 3.08 × 104
6000 0.893 3.69 × 104
7000 1.04 4.31 × 104
8000 1.19 4.92 × 104
9000 1.34 5.54 × 104
1.00 × 104 1.49 6.15 × 104
2.00 × 104 2.98 1.23 × 105
3.00 × 104 4.46 1.85 × 105
4.00 × 104 5.95 2.46 × 105
4.83 × 104 7.19 2.97 × 105
Steel I Beam: W24 × 76 (Wide Flange 24 inch tall × 76 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
76.0 0.0357 831
80.0 0.0376 875
90.0 0.0423 984
100 0.0470 1090
200 0.0941 2190
300 0.141 3280
400 0.188 4370
500 0.235 5470
600 0.282 6560
700 0.329 7650
800 0.376 8750
900 0.423 9840
1000 0.470 1.09 × 104
2000 0.941 2.19 × 104
3000 1.41 3.28 × 104
4000 1.88 4.37 × 104
5000 2.35 5.47 × 104
6000 2.82 6.56 × 104
7000 3.29 7.65 × 104
8000 3.76 8.75 × 104
9000 4.23 9.84 × 104
1.00 × 104 4.70 1.09 × 105
2.00 × 104 9.41 2.19 × 105
2.72 × 104 12.8 2.97 × 105
Steel I Beam: W24 × 76 (Wide Flange 24 inch tall × 76 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
76.0 0.0873 1300
80.0 0.0919 1370
90.0 0.103 1540
100 0.115 1710
200 0.230 3420
300 0.344 5130
400 0.459 6830
500 0.574 8540
600 0.689 1.03 × 104
700 0.804 1.20 × 104
800 0.919 1.37 × 104
900 1.03 1.54 × 104
1000 1.15 1.71 × 104
2000 2.30 3.42 × 104
3000 3.44 5.13 × 104
4000 4.59 6.83 × 104
5000 5.74 8.54 × 104
6000 6.89 1.03 × 105
7000 8.04 1.20 × 105
8000 9.19 1.37 × 105
9000 10.3 1.54 × 105
1.00 × 104 11.5 1.71 × 105
1.74 × 104 20.0 2.97 × 105
Steel I Beam: W24 × 76 (Wide Flange 24 inch tall × 76 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
76.0 0.181 1870
80.0 0.190 1970
90.0 0.214 2210
100 0.238 2460
200 0.476 4920
300 0.714 7380
400 0.952 9840
500 1.19 1.23 × 104
600 1.43 1.48 × 104
700 1.67 1.72 × 104
800 1.90 1.97 × 104
900 2.14 2.21 × 104
1000 2.38 2.46 × 104
2000 4.76 4.92 × 104
3000 7.14 7.38 × 104
4000 9.52 9.84 × 104
5000 11.9 1.23 × 105
6000 14.3 1.48 × 105
7000 16.7 1.72 × 105
8000 19.0 1.97 × 105
9000 21.4 2.21 × 105
1.00 × 104 23.8 2.46 × 105
1.21 × 104 28.7 2.97 × 105
Steel I Beam: W24 × 76 (Wide Flange 24 inch tall × 76 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
76.0 0.335 2550
80.0 0.353 2680
90.0 0.397 3010
100 0.441 3350
200 0.882 6700
300 1.32 1.00 × 104
400 1.76 1.34 × 104
500 2.21 1.67 × 104
600 2.65 2.01 × 104
700 3.09 2.34 × 104
800 3.53 2.68 × 104
900 3.97 3.01 × 104
1000 4.41 3.35 × 104
2000 8.82 6.70 × 104
3000 13.2 1.00 × 105
4000 17.6 1.34 × 105
5000 22.1 1.67 × 105
5420 23.9 1.82 × 105
Steel I Beam: W24 × 76 (Wide Flange 24 inch tall × 76 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
76.0 0.572 3320
80.0 0.602 3500
90.0 0.677 3940
100 0.752 4370
200 1.50 8750
300 2.26 1.31 × 104
400 3.01 1.75 × 104
500 3.76 2.19 × 104
600 4.51 2.62 × 104
700 5.27 3.06 × 104
800 6.02 3.50 × 104
900 6.77 3.94 × 104
1000 7.52 4.37 × 104
2000 15.0 8.75 × 104
3000 22.6 1.31 × 105
3180 23.9 1.39 × 105
Steel I Beam: W24 × 76 (Wide Flange 24 inch tall × 76 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
76.0 0.916 4210
80.0 0.964 4430
90.0 1.08 4980
100 1.21 5540
200 2.41 1.11 × 104
300 3.62 1.66 × 104
400 4.82 2.21 × 104
500 6.03 2.77 × 104
600 7.23 3.32 × 104
700 8.44 3.88 × 104
800 9.64 4.43 × 104
900 10.8 4.98 × 104
1000 12.1 5.54 × 104
1980 23.9 1.10 × 105
Steel I Beam: W24 × 76 (Wide Flange 24 inch tall × 76 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
76.0 1.40 5190
80.0 1.47 5470
90.0 1.65 6150
100 1.84 6830
200 3.67 1.37 × 104
300 5.51 2.05 × 104
400 7.35 2.73 × 104
500 9.19 3.42 × 104
600 11.0 4.10 × 104
700 12.9 4.78 × 104
800 14.7 5.47 × 104
900 16.5 6.15 × 104
1000 18.4 6.83 × 104
1300 23.9 8.90 × 104
Steel I Beam: W24 × 76 (Wide Flange 24 inch tall × 76 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
76.0 3.41 8120
80.0 3.59 8540
90.0 4.04 9610
100 4.49 1.07 × 104
200 8.97 2.14 × 104
300 13.5 3.20 × 104
400 17.9 4.27 × 104
500 22.4 5.34 × 104
533 23.9 5.70 × 104
Steel I Beam: W24 × 76 (Wide Flange 24 inch tall × 76 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
76.0 7.07 1.17 × 104
80.0 7.44 1.23 × 104
90.0 8.37 1.38 × 104
100 9.30 1.54 × 104
200 18.6 3.08 × 104
257 23.9 3.95 × 104
Steel I Beam: W24 × 76 (Wide Flange 24 inch tall × 76 lbf/ft)
L = 200 ft
P (lbf/ft) w_max (in) stress_max (psi)
76.0 22.3 2.08 × 104
80.0 23.5 2.19 × 104
81.4 23.9 2.22 × 104
Additional Information
Related Pages
FREE Publications
CNC Machining Design Guide

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

Selecting the Right 3D Printer

Discover how to choose the right 3D printer for your needs and the key performance attributes to consider.

STEM Career Outlook

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

Mechanical Engineers Outlook

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

more publications