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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two 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 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 = 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 8.66 × 10-7 5.84
80.0 9.12 × 10-7 6.15
90.0 1.03 × 10-6 6.92
100 1.14 × 10-6 7.69
200 2.28 × 10-6 15.4
300 3.42 × 10-6 23.1
400 4.56 × 10-6 30.8
500 5.70 × 10-6 38.4
600 6.84 × 10-6 46.1
700 7.98 × 10-6 53.8
800 9.12 × 10-6 61.5
900 1.03 × 10-5 69.2
1000 1.14 × 10-5 76.9
2000 2.28 × 10-5 154
3000 3.42 × 10-5 231
4000 4.56 × 10-5 308
5000 5.70 × 10-5 384
6000 6.84 × 10-5 461
7000 7.98 × 10-5 538
8000 9.12 × 10-5 615
9000 1.03 × 10-4 692
1.00 × 104 1.14 × 10-4 769
2.00 × 104 2.28 × 10-4 1540
3.00 × 104 3.42 × 10-4 2310
4.00 × 104 4.56 × 10-4 3080
5.00 × 104 5.70 × 10-4 3840
6.00 × 104 6.84 × 10-4 4610
7.00 × 104 7.98 × 10-4 5380
8.00 × 104 9.12 × 10-4 6150
9.00 × 104 0.00103 6920
1.00 × 105 0.00114 7690
2.00 × 105 0.00228 1.54 × 104
3.00 × 105 0.00342 2.31 × 104
4.00 × 105 0.00456 3.08 × 104
5.00 × 105 0.00570 3.84 × 104
6.00 × 105 0.00684 4.61 × 104
7.00 × 105 0.00798 5.38 × 104
8.00 × 105 0.00912 6.15 × 104
9.00 × 105 0.0103 6.92 × 104
1.00 × 106 0.0114 7.69 × 104
2.00 × 106 0.0228 1.54 × 105
3.00 × 106 0.0342 2.31 × 105
3.86 × 106 0.0440 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 6.68 × 10-6 16.2
80.0 7.04 × 10-6 17.1
90.0 7.91 × 10-6 19.2
100 8.79 × 10-6 21.4
200 1.76 × 10-5 42.7
300 2.64 × 10-5 64.1
400 3.52 × 10-5 85.4
500 4.40 × 10-5 107
600 5.28 × 10-5 128
700 6.16 × 10-5 150
800 7.04 × 10-5 171
900 7.91 × 10-5 192
1000 8.79 × 10-5 214
2000 1.76 × 10-4 427
3000 2.64 × 10-4 641
4000 3.52 × 10-4 854
5000 4.40 × 10-4 1070
6000 5.28 × 10-4 1280
7000 6.16 × 10-4 1500
8000 7.04 × 10-4 1710
9000 7.91 × 10-4 1920
1.00 × 104 8.79 × 10-4 2140
2.00 × 104 0.00176 4270
3.00 × 104 0.00264 6410
4.00 × 104 0.00352 8540
5.00 × 104 0.00440 1.07 × 104
6.00 × 104 0.00528 1.28 × 104
7.00 × 104 0.00616 1.50 × 104
8.00 × 104 0.00704 1.71 × 104
9.00 × 104 0.00791 1.92 × 104
1.00 × 105 0.00879 2.14 × 104
2.00 × 105 0.0176 4.27 × 104
3.00 × 105 0.0264 6.41 × 104
4.00 × 105 0.0352 8.54 × 104
5.00 × 105 0.0440 1.07 × 105
6.00 × 105 0.0528 1.28 × 105
7.00 × 105 0.0616 1.50 × 105
8.00 × 105 0.0704 1.71 × 105
9.00 × 105 0.0791 1.92 × 105
1.00 × 106 0.0879 2.14 × 105
1.39 × 106 0.122 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 1.07 × 10-4 64.9
80.0 1.13 × 10-4 68.3
90.0 1.27 × 10-4 76.9
100 1.41 × 10-4 85.4
200 2.81 × 10-4 171
300 4.22 × 10-4 256
400 5.63 × 10-4 342
500 7.04 × 10-4 427
600 8.44 × 10-4 513
700 9.85 × 10-4 598
800 0.00113 683
900 0.00127 769
1000 0.00141 854
2000 0.00281 1710
3000 0.00422 2560
4000 0.00563 3420
5000 0.00704 4270
6000 0.00844 5130
7000 0.00985 5980
8000 0.0113 6830
9000 0.0127 7690
1.00 × 104 0.0141 8540
2.00 × 104 0.0281 1.71 × 104
3.00 × 104 0.0422 2.56 × 104
4.00 × 104 0.0563 3.42 × 104
5.00 × 104 0.0704 4.27 × 104
6.00 × 104 0.0844 5.13 × 104
7.00 × 104 0.0985 5.98 × 104
8.00 × 104 0.113 6.83 × 104
9.00 × 104 0.127 7.69 × 104
1.00 × 105 0.141 8.54 × 104
2.00 × 105 0.281 1.71 × 105
3.00 × 105 0.422 2.56 × 105
3.48 × 105 0.489 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 5.41 × 10-4 146
80.0 5.70 × 10-4 154
90.0 6.41 × 10-4 173
100 7.12 × 10-4 192
200 0.00142 384
300 0.00214 577
400 0.00285 769
500 0.00356 961
600 0.00427 1150
700 0.00499 1350
800 0.00570 1540
900 0.00641 1730
1000 0.00712 1920
2000 0.0142 3840
3000 0.0214 5770
4000 0.0285 7690
5000 0.0356 9610
6000 0.0427 1.15 × 104
7000 0.0499 1.35 × 104
8000 0.0570 1.54 × 104
9000 0.0641 1.73 × 104
1.00 × 104 0.0712 1.92 × 104
2.00 × 104 0.142 3.84 × 104
3.00 × 104 0.214 5.77 × 104
4.00 × 104 0.285 7.69 × 104
5.00 × 104 0.356 9.61 × 104
6.00 × 104 0.427 1.15 × 105
7.00 × 104 0.499 1.35 × 105
8.00 × 104 0.570 1.54 × 105
9.00 × 104 0.641 1.73 × 105
1.00 × 105 0.712 1.92 × 105
1.55 × 105 1.10 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 0.00171 260
80.0 0.00180 273
90.0 0.00203 308
100 0.00225 342
200 0.00450 683
300 0.00675 1030
400 0.00901 1370
500 0.0113 1710
600 0.0135 2050
700 0.0158 2390
800 0.0180 2730
900 0.0203 3080
1000 0.0225 3420
2000 0.0450 6830
3000 0.0675 1.03 × 104
4000 0.0901 1.37 × 104
5000 0.113 1.71 × 104
6000 0.135 2.05 × 104
7000 0.158 2.39 × 104
8000 0.180 2.73 × 104
9000 0.203 3.08 × 104
1.00 × 104 0.225 3.42 × 104
2.00 × 104 0.450 6.83 × 104
3.00 × 104 0.675 1.03 × 105
4.00 × 104 0.901 1.37 × 105
5.00 × 104 1.13 1.71 × 105
6.00 × 104 1.35 2.05 × 105
7.00 × 104 1.58 2.39 × 105
8.00 × 104 1.80 2.73 × 105
8.69 × 104 1.96 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 0.00418 406
80.0 0.00440 427
90.0 0.00495 481
100 0.00550 534
200 0.0110 1070
300 0.0165 1600
400 0.0220 2140
500 0.0275 2670
600 0.0330 3200
700 0.0385 3740
800 0.0440 4270
900 0.0495 4810
1000 0.0550 5340
2000 0.110 1.07 × 104
3000 0.165 1.60 × 104
4000 0.220 2.14 × 104
5000 0.275 2.67 × 104
6000 0.330 3.20 × 104
7000 0.385 3.74 × 104
8000 0.440 4.27 × 104
9000 0.495 4.81 × 104
1.00 × 104 0.550 5.34 × 104
2.00 × 104 1.10 1.07 × 105
3.00 × 104 1.65 1.60 × 105
4.00 × 104 2.20 2.14 × 105
5.00 × 104 2.75 2.67 × 105
5.56 × 104 3.06 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 0.00866 584
80.0 0.00912 615
90.0 0.0103 692
100 0.0114 769
200 0.0228 1540
300 0.0342 2310
400 0.0456 3080
500 0.0570 3840
600 0.0684 4610
700 0.0798 5380
800 0.0912 6150
900 0.103 6920
1000 0.114 7690
2000 0.228 1.54 × 104
3000 0.342 2.31 × 104
4000 0.456 3.08 × 104
5000 0.570 3.84 × 104
6000 0.684 4.61 × 104
7000 0.798 5.38 × 104
8000 0.912 6.15 × 104
9000 1.03 6.92 × 104
1.00 × 104 1.14 7.69 × 104
2.00 × 104 2.28 1.54 × 105
3.00 × 104 3.42 2.31 × 105
3.86 × 104 4.40 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 0.0274 1040
80.0 0.0288 1090
90.0 0.0324 1230
100 0.0360 1370
200 0.0720 2730
300 0.108 4100
400 0.144 5470
500 0.180 6830
600 0.216 8200
700 0.252 9570
800 0.288 1.09 × 104
900 0.324 1.23 × 104
1000 0.360 1.37 × 104
2000 0.720 2.73 × 104
3000 1.08 4.10 × 104
4000 1.44 5.47 × 104
5000 1.80 6.83 × 104
6000 2.16 8.20 × 104
7000 2.52 9.57 × 104
8000 2.88 1.09 × 105
9000 3.24 1.23 × 105
1.00 × 104 3.60 1.37 × 105
2.00 × 104 7.20 2.73 × 105
2.17 × 104 7.83 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 0.0668 1620
80.0 0.0704 1710
90.0 0.0791 1920
100 0.0879 2140
200 0.176 4270
300 0.264 6410
400 0.352 8540
500 0.440 1.07 × 104
600 0.528 1.28 × 104
700 0.616 1.50 × 104
800 0.704 1.71 × 104
900 0.791 1.92 × 104
1000 0.879 2.14 × 104
2000 1.76 4.27 × 104
3000 2.64 6.41 × 104
4000 3.52 8.54 × 104
5000 4.40 1.07 × 105
6000 5.28 1.28 × 105
7000 6.16 1.50 × 105
8000 7.04 1.71 × 105
9000 7.91 1.92 × 105
1.00 × 104 8.79 2.14 × 105
1.39 × 104 12.2 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 0.139 2340
80.0 0.146 2460
90.0 0.164 2770
100 0.182 3080
200 0.365 6150
300 0.547 9230
400 0.729 1.23 × 104
500 0.912 1.54 × 104
600 1.09 1.85 × 104
700 1.28 2.15 × 104
800 1.46 2.46 × 104
900 1.64 2.77 × 104
1000 1.82 3.08 × 104
2000 3.65 6.15 × 104
3000 5.47 9.23 × 104
4000 7.29 1.23 × 105
5000 9.12 1.54 × 105
6000 10.9 1.85 × 105
7000 12.8 2.15 × 105
8000 14.6 2.46 × 105
9000 16.4 2.77 × 105
9660 17.6 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 0.257 3180
80.0 0.270 3350
90.0 0.304 3770
100 0.338 4190
200 0.676 8370
300 1.01 1.26 × 104
400 1.35 1.67 × 104
500 1.69 2.09 × 104
600 2.03 2.51 × 104
700 2.36 2.93 × 104
800 2.70 3.35 × 104
900 3.04 3.77 × 104
1000 3.38 4.19 × 104
2000 6.76 8.37 × 104
3000 10.1 1.26 × 105
4000 13.5 1.67 × 105
5000 16.9 2.09 × 105
6000 20.3 2.51 × 105
7000 23.6 2.93 × 105
7100 24.0 2.97 × 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 0.438 4160
80.0 0.461 4370
90.0 0.519 4920
100 0.576 5470
200 1.15 1.09 × 104
300 1.73 1.64 × 104
400 2.31 2.19 × 104
500 2.88 2.73 × 104
600 3.46 3.28 × 104
700 4.03 3.83 × 104
800 4.61 4.37 × 104
900 5.19 4.92 × 104
1000 5.76 5.47 × 104
2000 11.5 1.09 × 105
3000 17.3 1.64 × 105
4000 23.1 2.19 × 105
4150 23.9 2.27 × 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 0.702 5260
80.0 0.739 5540
90.0 0.831 6230
100 0.923 6920
200 1.85 1.38 × 104
300 2.77 2.08 × 104
400 3.69 2.77 × 104
500 4.62 3.46 × 104
600 5.54 4.15 × 104
700 6.46 4.84 × 104
800 7.39 5.54 × 104
900 8.31 6.23 × 104
1000 9.23 6.92 × 104
2000 18.5 1.38 × 105
2590 23.9 1.79 × 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 1.07 6490
80.0 1.13 6830
90.0 1.27 7690
100 1.41 8540
200 2.81 1.71 × 104
300 4.22 2.56 × 104
400 5.63 3.42 × 104
500 7.04 4.27 × 104
600 8.44 5.13 × 104
700 9.85 5.98 × 104
800 11.3 6.83 × 104
900 12.7 7.69 × 104
1000 14.1 8.54 × 104
1700 23.9 1.45 × 105
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 2.61 1.01 × 104
80.0 2.75 1.07 × 104
90.0 3.09 1.20 × 104
100 3.44 1.33 × 104
200 6.87 2.67 × 104
300 10.3 4.00 × 104
400 13.7 5.34 × 104
500 17.2 6.67 × 104
600 20.6 8.01 × 104
696 23.9 9.29 × 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 5.41 1.46 × 104
80.0 5.70 1.54 × 104
90.0 6.41 1.73 × 104
100 7.12 1.92 × 104
200 14.2 3.84 × 104
300 21.4 5.77 × 104
336 23.9 6.45 × 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 17.1 2.60 × 104
80.0 18.0 2.73 × 104
90.0 20.3 3.08 × 104
100 22.5 3.42 × 104
106 23.9 3.63 × 104
Additional Information
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