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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W24 × 84
Wide Flange 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 = 2370 in4) for the W24 × 84 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 × 84 (Wide Flange 24 inch tall × 84 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
84.0 1.03 × 10-6 4.94
90.0 1.10 × 10-6 5.29
100 1.22 × 10-6 5.88
200 2.44 × 10-6 11.8
300 3.66 × 10-6 17.6
400 4.89 × 10-6 23.5
500 6.11 × 10-6 29.4
600 7.33 × 10-6 35.3
700 8.55 × 10-6 41.2
800 9.77 × 10-6 47.0
900 1.10 × 10-5 52.9
1000 1.22 × 10-5 58.8
2000 2.44 × 10-5 118
3000 3.66 × 10-5 176
4000 4.89 × 10-5 235
5000 6.11 × 10-5 294
6000 7.33 × 10-5 353
7000 8.55 × 10-5 412
8000 9.77 × 10-5 470
9000 1.10 × 10-4 529
1.00 × 104 1.22 × 10-4 588
2.00 × 104 2.44 × 10-4 1180
3.00 × 104 3.66 × 10-4 1760
4.00 × 104 4.89 × 10-4 2350
5.00 × 104 6.11 × 10-4 2940
6.00 × 104 7.33 × 10-4 3530
7.00 × 104 8.55 × 10-4 4120
8.00 × 104 9.77 × 10-4 4700
9.00 × 104 0.00110 5290
1.00 × 105 0.00122 5880
2.00 × 105 0.00244 1.18 × 104
3.00 × 105 0.00366 1.76 × 104
4.00 × 105 0.00489 2.35 × 104
5.00 × 105 0.00611 2.94 × 104
6.00 × 105 0.00733 3.53 × 104
7.00 × 105 0.00855 4.12 × 104
8.00 × 105 0.00977 4.70 × 104
9.00 × 105 0.0110 5.29 × 104
1.00 × 106 0.0122 5.88 × 104
2.00 × 106 0.0244 1.18 × 105
3.00 × 106 0.0366 1.76 × 105
4.00 × 106 0.0489 2.35 × 105
5.00 × 106 0.0611 2.94 × 105
5.05 × 106 0.0617 2.97 × 105
Steel I Beam: W24 × 84 (Wide Flange 24 inch tall × 84 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
84.0 7.92 × 10-6 13.7
90.0 8.48 × 10-6 14.7
100 9.43 × 10-6 16.3
200 1.89 × 10-5 32.7
300 2.83 × 10-5 49.0
400 3.77 × 10-5 65.3
500 4.71 × 10-5 81.7
600 5.66 × 10-5 98.0
700 6.60 × 10-5 114
800 7.54 × 10-5 131
900 8.48 × 10-5 147
1000 9.43 × 10-5 163
2000 1.89 × 10-4 327
3000 2.83 × 10-4 490
4000 3.77 × 10-4 653
5000 4.71 × 10-4 817
6000 5.66 × 10-4 980
7000 6.60 × 10-4 1140
8000 7.54 × 10-4 1310
9000 8.48 × 10-4 1470
1.00 × 104 9.43 × 10-4 1630
2.00 × 104 0.00189 3270
3.00 × 104 0.00283 4900
4.00 × 104 0.00377 6530
5.00 × 104 0.00471 8170
6.00 × 104 0.00566 9800
7.00 × 104 0.00660 1.14 × 104
8.00 × 104 0.00754 1.31 × 104
9.00 × 104 0.00848 1.47 × 104
1.00 × 105 0.00943 1.63 × 104
2.00 × 105 0.0189 3.27 × 104
3.00 × 105 0.0283 4.90 × 104
4.00 × 105 0.0377 6.53 × 104
5.00 × 105 0.0471 8.17 × 104
6.00 × 105 0.0566 9.80 × 104
7.00 × 105 0.0660 1.14 × 105
8.00 × 105 0.0754 1.31 × 105
9.00 × 105 0.0848 1.47 × 105
1.00 × 106 0.0943 1.63 × 105
1.82 × 106 0.171 2.97 × 105
Steel I Beam: W24 × 84 (Wide Flange 24 inch tall × 84 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
84.0 1.27 × 10-4 54.9
90.0 1.36 × 10-4 58.8
100 1.51 × 10-4 65.3
200 3.02 × 10-4 131
300 4.52 × 10-4 196
400 6.03 × 10-4 261
500 7.54 × 10-4 327
600 9.05 × 10-4 392
700 0.00106 457
800 0.00121 523
900 0.00136 588
1000 0.00151 653
2000 0.00302 1310
3000 0.00452 1960
4000 0.00603 2610
5000 0.00754 3270
6000 0.00905 3920
7000 0.0106 4570
8000 0.0121 5230
9000 0.0136 5880
1.00 × 104 0.0151 6530
2.00 × 104 0.0302 1.31 × 104
3.00 × 104 0.0452 1.96 × 104
4.00 × 104 0.0603 2.61 × 104
5.00 × 104 0.0754 3.27 × 104
6.00 × 104 0.0905 3.92 × 104
7.00 × 104 0.106 4.57 × 104
8.00 × 104 0.121 5.23 × 104
9.00 × 104 0.136 5.88 × 104
1.00 × 105 0.151 6.53 × 104
2.00 × 105 0.302 1.31 × 105
3.00 × 105 0.452 1.96 × 105
4.00 × 105 0.603 2.61 × 105
4.55 × 105 0.686 2.97 × 105
Steel I Beam: W24 × 84 (Wide Flange 24 inch tall × 84 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
84.0 6.41 × 10-4 124
90.0 6.87 × 10-4 132
100 7.63 × 10-4 147
200 0.00153 294
300 0.00229 441
400 0.00305 588
500 0.00382 735
600 0.00458 882
700 0.00534 1030
800 0.00611 1180
900 0.00687 1320
1000 0.00763 1470
2000 0.0153 2940
3000 0.0229 4410
4000 0.0305 5880
5000 0.0382 7350
6000 0.0458 8820
7000 0.0534 1.03 × 104
8000 0.0611 1.18 × 104
9000 0.0687 1.32 × 104
1.00 × 104 0.0763 1.47 × 104
2.00 × 104 0.153 2.94 × 104
3.00 × 104 0.229 4.41 × 104
4.00 × 104 0.305 5.88 × 104
5.00 × 104 0.382 7.35 × 104
6.00 × 104 0.458 8.82 × 104
7.00 × 104 0.534 1.03 × 105
8.00 × 104 0.611 1.18 × 105
9.00 × 104 0.687 1.32 × 105
1.00 × 105 0.763 1.47 × 105
2.00 × 105 1.53 2.94 × 105
2.02 × 105 1.54 2.97 × 105
Steel I Beam: W24 × 84 (Wide Flange 24 inch tall × 84 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
84.0 0.00203 220
90.0 0.00217 235
100 0.00241 261
200 0.00483 523
300 0.00724 784
400 0.00965 1050
500 0.0121 1310
600 0.0145 1570
700 0.0169 1830
800 0.0193 2090
900 0.0217 2350
1000 0.0241 2610
2000 0.0483 5230
3000 0.0724 7840
4000 0.0965 1.05 × 104
5000 0.121 1.31 × 104
6000 0.145 1.57 × 104
7000 0.169 1.83 × 104
8000 0.193 2.09 × 104
9000 0.217 2.35 × 104
1.00 × 104 0.241 2.61 × 104
2.00 × 104 0.483 5.23 × 104
3.00 × 104 0.724 7.84 × 104
4.00 × 104 0.965 1.05 × 105
5.00 × 104 1.21 1.31 × 105
6.00 × 104 1.45 1.57 × 105
7.00 × 104 1.69 1.83 × 105
8.00 × 104 1.93 2.09 × 105
9.00 × 104 2.17 2.35 × 105
1.00 × 105 2.41 2.61 × 105
1.14 × 105 2.74 2.97 × 105
Steel I Beam: W24 × 84 (Wide Flange 24 inch tall × 84 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
84.0 0.00495 343
90.0 0.00530 368
100 0.00589 408
200 0.0118 817
300 0.0177 1230
400 0.0236 1630
500 0.0295 2040
600 0.0353 2450
700 0.0412 2860
800 0.0471 3270
900 0.0530 3680
1000 0.0589 4080
2000 0.118 8170
3000 0.177 1.23 × 104
4000 0.236 1.63 × 104
5000 0.295 2.04 × 104
6000 0.353 2.45 × 104
7000 0.412 2.86 × 104
8000 0.471 3.27 × 104
9000 0.530 3.68 × 104
1.00 × 104 0.589 4.08 × 104
2.00 × 104 1.18 8.17 × 104
3.00 × 104 1.77 1.23 × 105
4.00 × 104 2.36 1.63 × 105
5.00 × 104 2.95 2.04 × 105
6.00 × 104 3.53 2.45 × 105
7.00 × 104 4.12 2.86 × 105
7.27 × 104 4.28 2.97 × 105
Steel I Beam: W24 × 84 (Wide Flange 24 inch tall × 84 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
84.0 0.0103 494
90.0 0.0110 529
100 0.0122 588
200 0.0244 1180
300 0.0366 1760
400 0.0489 2350
500 0.0611 2940
600 0.0733 3530
700 0.0855 4120
800 0.0977 4700
900 0.110 5290
1000 0.122 5880
2000 0.244 1.18 × 104
3000 0.366 1.76 × 104
4000 0.489 2.35 × 104
5000 0.611 2.94 × 104
6000 0.733 3.53 × 104
7000 0.855 4.12 × 104
8000 0.977 4.70 × 104
9000 1.10 5.29 × 104
1.00 × 104 1.22 5.88 × 104
2.00 × 104 2.44 1.18 × 105
3.00 × 104 3.66 1.76 × 105
4.00 × 104 4.89 2.35 × 105
5.00 × 104 6.11 2.94 × 105
5.05 × 104 6.17 2.97 × 105
Steel I Beam: W24 × 84 (Wide Flange 24 inch tall × 84 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
84.0 0.0324 878
90.0 0.0347 941
100 0.0386 1050
200 0.0772 2090
300 0.116 3140
400 0.154 4180
500 0.193 5230
600 0.232 6270
700 0.270 7320
800 0.309 8360
900 0.347 9410
1000 0.386 1.05 × 104
2000 0.772 2.09 × 104
3000 1.16 3.14 × 104
4000 1.54 4.18 × 104
5000 1.93 5.23 × 104
6000 2.32 6.27 × 104
7000 2.70 7.32 × 104
8000 3.09 8.36 × 104
9000 3.47 9.41 × 104
1.00 × 104 3.86 1.05 × 105
2.00 × 104 7.72 2.09 × 105
2.84 × 104 11.0 2.97 × 105
Steel I Beam: W24 × 84 (Wide Flange 24 inch tall × 84 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
84.0 0.0792 1370
90.0 0.0848 1470
100 0.0943 1630
200 0.189 3270
300 0.283 4900
400 0.377 6530
500 0.471 8170
600 0.566 9800
700 0.660 1.14 × 104
800 0.754 1.31 × 104
900 0.848 1.47 × 104
1000 0.943 1.63 × 104
2000 1.89 3.27 × 104
3000 2.83 4.90 × 104
4000 3.77 6.53 × 104
5000 4.71 8.17 × 104
6000 5.66 9.80 × 104
7000 6.60 1.14 × 105
8000 7.54 1.31 × 105
9000 8.48 1.47 × 105
1.00 × 104 9.43 1.63 × 105
1.82 × 104 17.1 2.97 × 105
Steel I Beam: W24 × 84 (Wide Flange 24 inch tall × 84 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
84.0 0.164 1980
90.0 0.176 2120
100 0.195 2350
200 0.391 4700
300 0.586 7060
400 0.782 9410
500 0.977 1.18 × 104
600 1.17 1.41 × 104
700 1.37 1.65 × 104
800 1.56 1.88 × 104
900 1.76 2.12 × 104
1000 1.95 2.35 × 104
2000 3.91 4.70 × 104
3000 5.86 7.06 × 104
4000 7.82 9.41 × 104
5000 9.77 1.18 × 105
6000 11.7 1.41 × 105
7000 13.7 1.65 × 105
8000 15.6 1.88 × 105
9000 17.6 2.12 × 105
1.00 × 104 19.5 2.35 × 105
1.26 × 104 24.7 2.97 × 105
Steel I Beam: W24 × 84 (Wide Flange 24 inch tall × 84 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
84.0 0.304 2690
90.0 0.326 2880
100 0.362 3200
200 0.724 6400
300 1.09 9610
400 1.45 1.28 × 104
500 1.81 1.60 × 104
600 2.17 1.92 × 104
700 2.53 2.24 × 104
800 2.90 2.56 × 104
900 3.26 2.88 × 104
1000 3.62 3.20 × 104
2000 7.24 6.40 × 104
3000 10.9 9.61 × 104
4000 14.5 1.28 × 105
5000 18.1 1.60 × 105
6000 21.7 1.92 × 105
6660 24.1 2.13 × 105
Steel I Beam: W24 × 84 (Wide Flange 24 inch tall × 84 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
84.0 0.519 3510
90.0 0.556 3760
100 0.618 4180
200 1.24 8360
300 1.85 1.25 × 104
400 2.47 1.67 × 104
500 3.09 2.09 × 104
600 3.71 2.51 × 104
700 4.32 2.93 × 104
800 4.94 3.35 × 104
900 5.56 3.76 × 104
1000 6.18 4.18 × 104
2000 12.4 8.36 × 104
3000 18.5 1.25 × 105
3900 24.1 1.63 × 105
Steel I Beam: W24 × 84 (Wide Flange 24 inch tall × 84 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
84.0 0.831 4450
90.0 0.891 4760
100 0.989 5290
200 1.98 1.06 × 104
300 2.97 1.59 × 104
400 3.96 2.12 × 104
500 4.95 2.65 × 104
600 5.94 3.18 × 104
700 6.93 3.71 × 104
800 7.92 4.23 × 104
900 8.91 4.76 × 104
1000 9.89 5.29 × 104
2000 19.8 1.06 × 105
2440 24.1 1.29 × 105
Steel I Beam: W24 × 84 (Wide Flange 24 inch tall × 84 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
84.0 1.27 5490
90.0 1.36 5880
100 1.51 6530
200 3.02 1.31 × 104
300 4.52 1.96 × 104
400 6.03 2.61 × 104
500 7.54 3.27 × 104
600 9.05 3.92 × 104
700 10.6 4.57 × 104
800 12.1 5.23 × 104
900 13.6 5.88 × 104
1000 15.1 6.53 × 104
1600 24.1 1.04 × 105
Steel I Beam: W24 × 84 (Wide Flange 24 inch tall × 84 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
84.0 3.09 8580
90.0 3.31 9190
100 3.68 1.02 × 104
200 7.36 2.04 × 104
300 11.0 3.06 × 104
400 14.7 4.08 × 104
500 18.4 5.11 × 104
600 22.1 6.13 × 104
655 24.1 6.68 × 104
Steel I Beam: W24 × 84 (Wide Flange 24 inch tall × 84 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
84.0 6.41 1.24 × 104
90.0 6.87 1.32 × 104
100 7.63 1.47 × 104
200 15.3 2.94 × 104
300 22.9 4.41 × 104
316 24.1 4.64 × 104
Steel I Beam: W24 × 84 (Wide Flange 24 inch tall × 84 lbf/ft)
L = 200 ft
P (lbf/ft) w_max (in) stress_max (psi)
84.0 20.3 2.20 × 104
90.0 21.7 2.35 × 104
99.9 24.1 2.61 × 104
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