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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W21 × 62
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 = 1330 in4) for the W21 × 62 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: W21 × 62 (Wide Flange 21 inch tall × 62 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
62.0 1.46 × 10-6 5.28
70.0 1.64 × 10-6 5.97
80.0 1.88 × 10-6 6.82
90.0 2.11 × 10-6 7.67
100 2.35 × 10-6 8.52
200 4.70 × 10-6 17.0
300 7.05 × 10-6 25.6
400 9.40 × 10-6 34.1
500 1.17 × 10-5 42.6
600 1.41 × 10-5 51.1
700 1.64 × 10-5 59.7
800 1.88 × 10-5 68.2
900 2.11 × 10-5 76.7
1000 2.35 × 10-5 85.2
2000 4.70 × 10-5 170
3000 7.05 × 10-5 256
4000 9.40 × 10-5 341
5000 1.17 × 10-4 426
6000 1.41 × 10-4 511
7000 1.64 × 10-4 597
8000 1.88 × 10-4 682
9000 2.11 × 10-4 767
1.00 × 104 2.35 × 10-4 852
2.00 × 104 4.70 × 10-4 1700
3.00 × 104 7.05 × 10-4 2560
4.00 × 104 9.40 × 10-4 3410
5.00 × 104 0.00117 4260
6.00 × 104 0.00141 5110
7.00 × 104 0.00164 5970
8.00 × 104 0.00188 6820
9.00 × 104 0.00211 7670
1.00 × 105 0.00235 8520
2.00 × 105 0.00470 1.70 × 104
3.00 × 105 0.00705 2.56 × 104
4.00 × 105 0.00940 3.41 × 104
5.00 × 105 0.0117 4.26 × 104
6.00 × 105 0.0141 5.11 × 104
7.00 × 105 0.0164 5.97 × 104
8.00 × 105 0.0188 6.82 × 104
9.00 × 105 0.0211 7.67 × 104
1.00 × 106 0.0235 8.52 × 104
2.00 × 106 0.0470 1.70 × 105
3.00 × 106 0.0705 2.56 × 105
3.49 × 106 0.0819 2.97 × 105
Steel I Beam: W21 × 62 (Wide Flange 21 inch tall × 62 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
62.0 1.12 × 10-5 14.7
70.0 1.27 × 10-5 16.6
80.0 1.45 × 10-5 18.9
90.0 1.63 × 10-5 21.3
100 1.81 × 10-5 23.7
200 3.63 × 10-5 47.3
300 5.44 × 10-5 71.0
400 7.25 × 10-5 94.7
500 9.06 × 10-5 118
600 1.09 × 10-4 142
700 1.27 × 10-4 166
800 1.45 × 10-4 189
900 1.63 × 10-4 213
1000 1.81 × 10-4 237
2000 3.63 × 10-4 473
3000 5.44 × 10-4 710
4000 7.25 × 10-4 947
5000 9.06 × 10-4 1180
6000 0.00109 1420
7000 0.00127 1660
8000 0.00145 1890
9000 0.00163 2130
1.00 × 104 0.00181 2370
2.00 × 104 0.00363 4730
3.00 × 104 0.00544 7100
4.00 × 104 0.00725 9470
5.00 × 104 0.00906 1.18 × 104
6.00 × 104 0.0109 1.42 × 104
7.00 × 104 0.0127 1.66 × 104
8.00 × 104 0.0145 1.89 × 104
9.00 × 104 0.0163 2.13 × 104
1.00 × 105 0.0181 2.37 × 104
2.00 × 105 0.0363 4.73 × 104
3.00 × 105 0.0544 7.10 × 104
4.00 × 105 0.0725 9.47 × 104
5.00 × 105 0.0906 1.18 × 105
6.00 × 105 0.109 1.42 × 105
7.00 × 105 0.127 1.66 × 105
8.00 × 105 0.145 1.89 × 105
9.00 × 105 0.163 2.13 × 105
1.00 × 106 0.181 2.37 × 105
1.25 × 106 0.227 2.97 × 105
Steel I Beam: W21 × 62 (Wide Flange 21 inch tall × 62 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
62.0 1.80 × 10-4 58.7
70.0 2.03 × 10-4 66.3
80.0 2.32 × 10-4 75.8
90.0 2.61 × 10-4 85.2
100 2.90 × 10-4 94.7
200 5.80 × 10-4 189
300 8.70 × 10-4 284
400 0.00116 379
500 0.00145 473
600 0.00174 568
700 0.00203 663
800 0.00232 758
900 0.00261 852
1000 0.00290 947
2000 0.00580 1890
3000 0.00870 2840
4000 0.0116 3790
5000 0.0145 4730
6000 0.0174 5680
7000 0.0203 6630
8000 0.0232 7580
9000 0.0261 8520
1.00 × 104 0.0290 9470
2.00 × 104 0.0580 1.89 × 104
3.00 × 104 0.0870 2.84 × 104
4.00 × 104 0.116 3.79 × 104
5.00 × 104 0.145 4.73 × 104
6.00 × 104 0.174 5.68 × 104
7.00 × 104 0.203 6.63 × 104
8.00 × 104 0.232 7.58 × 104
9.00 × 104 0.261 8.52 × 104
1.00 × 105 0.290 9.47 × 104
2.00 × 105 0.580 1.89 × 105
3.00 × 105 0.870 2.84 × 105
3.14 × 105 0.910 2.97 × 105
Steel I Beam: W21 × 62 (Wide Flange 21 inch tall × 62 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
62.0 9.10 × 10-4 132
70.0 0.00103 149
80.0 0.00117 170
90.0 0.00132 192
100 0.00147 213
200 0.00294 426
300 0.00441 639
400 0.00587 852
500 0.00734 1070
600 0.00881 1280
700 0.0103 1490
800 0.0117 1700
900 0.0132 1920
1000 0.0147 2130
2000 0.0294 4260
3000 0.0441 6390
4000 0.0587 8520
5000 0.0734 1.07 × 104
6000 0.0881 1.28 × 104
7000 0.103 1.49 × 104
8000 0.117 1.70 × 104
9000 0.132 1.92 × 104
1.00 × 104 0.147 2.13 × 104
2.00 × 104 0.294 4.26 × 104
3.00 × 104 0.441 6.39 × 104
4.00 × 104 0.587 8.52 × 104
5.00 × 104 0.734 1.07 × 105
6.00 × 104 0.881 1.28 × 105
7.00 × 104 1.03 1.49 × 105
8.00 × 104 1.17 1.70 × 105
9.00 × 104 1.32 1.92 × 105
1.00 × 105 1.47 2.13 × 105
1.39 × 105 2.05 2.97 × 105
Steel I Beam: W21 × 62 (Wide Flange 21 inch tall × 62 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
62.0 0.00288 235
70.0 0.00325 265
80.0 0.00371 303
90.0 0.00418 341
100 0.00464 379
200 0.00928 758
300 0.0139 1140
400 0.0186 1520
500 0.0232 1890
600 0.0278 2270
700 0.0325 2650
800 0.0371 3030
900 0.0418 3410
1000 0.0464 3790
2000 0.0928 7580
3000 0.139 1.14 × 104
4000 0.186 1.52 × 104
5000 0.232 1.89 × 104
6000 0.278 2.27 × 104
7000 0.325 2.65 × 104
8000 0.371 3.03 × 104
9000 0.418 3.41 × 104
1.00 × 104 0.464 3.79 × 104
2.00 × 104 0.928 7.58 × 104
3.00 × 104 1.39 1.14 × 105
4.00 × 104 1.86 1.52 × 105
5.00 × 104 2.32 1.89 × 105
6.00 × 104 2.78 2.27 × 105
7.00 × 104 3.25 2.65 × 105
7.84 × 104 3.64 2.97 × 105
Steel I Beam: W21 × 62 (Wide Flange 21 inch tall × 62 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
62.0 0.00703 367
70.0 0.00793 414
80.0 0.00906 473
90.0 0.0102 533
100 0.0113 592
200 0.0227 1180
300 0.0340 1780
400 0.0453 2370
500 0.0567 2960
600 0.0680 3550
700 0.0793 4140
800 0.0906 4730
900 0.102 5330
1000 0.113 5920
2000 0.227 1.18 × 104
3000 0.340 1.78 × 104
4000 0.453 2.37 × 104
5000 0.567 2.96 × 104
6000 0.680 3.55 × 104
7000 0.793 4.14 × 104
8000 0.906 4.73 × 104
9000 1.02 5.33 × 104
1.00 × 104 1.13 5.92 × 104
2.00 × 104 2.27 1.18 × 105
3.00 × 104 3.40 1.78 × 105
4.00 × 104 4.53 2.37 × 105
5.00 × 104 5.67 2.96 × 105
5.02 × 104 5.69 2.97 × 105
Steel I Beam: W21 × 62 (Wide Flange 21 inch tall × 62 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
62.0 0.0146 528
70.0 0.0164 597
80.0 0.0188 682
90.0 0.0211 767
100 0.0235 852
200 0.0470 1700
300 0.0705 2560
400 0.0940 3410
500 0.117 4260
600 0.141 5110
700 0.164 5970
800 0.188 6820
900 0.211 7670
1000 0.235 8520
2000 0.470 1.70 × 104
3000 0.705 2.56 × 104
4000 0.940 3.41 × 104
5000 1.17 4.26 × 104
6000 1.41 5.11 × 104
7000 1.64 5.97 × 104
8000 1.88 6.82 × 104
9000 2.11 7.67 × 104
1.00 × 104 2.35 8.52 × 104
2.00 × 104 4.70 1.70 × 105
3.00 × 104 7.05 2.56 × 105
3.49 × 104 8.19 2.97 × 105
Steel I Beam: W21 × 62 (Wide Flange 21 inch tall × 62 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
62.0 0.0460 939
70.0 0.0520 1060
80.0 0.0594 1210
90.0 0.0668 1360
100 0.0743 1520
200 0.149 3030
300 0.223 4550
400 0.297 6060
500 0.371 7580
600 0.446 9090
700 0.520 1.06 × 104
800 0.594 1.21 × 104
900 0.668 1.36 × 104
1000 0.743 1.52 × 104
2000 1.49 3.03 × 104
3000 2.23 4.55 × 104
4000 2.97 6.06 × 104
5000 3.71 7.58 × 104
6000 4.46 9.09 × 104
7000 5.20 1.06 × 105
8000 5.94 1.21 × 105
9000 6.68 1.36 × 105
1.00 × 104 7.43 1.52 × 105
1.96 × 104 14.6 2.97 × 105
Steel I Beam: W21 × 62 (Wide Flange 21 inch tall × 62 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
62.0 0.112 1470
70.0 0.127 1660
80.0 0.145 1890
90.0 0.163 2130
100 0.181 2370
200 0.363 4730
300 0.544 7100
400 0.725 9470
500 0.906 1.18 × 104
600 1.09 1.42 × 104
700 1.27 1.66 × 104
800 1.45 1.89 × 104
900 1.63 2.13 × 104
1000 1.81 2.37 × 104
2000 3.63 4.73 × 104
3000 5.44 7.10 × 104
4000 7.25 9.47 × 104
5000 9.06 1.18 × 105
6000 10.9 1.42 × 105
7000 12.7 1.66 × 105
8000 14.5 1.89 × 105
9000 16.3 2.13 × 105
1.00 × 104 18.1 2.37 × 105
1.25 × 104 22.7 2.97 × 105
Steel I Beam: W21 × 62 (Wide Flange 21 inch tall × 62 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
62.0 0.233 2110
70.0 0.263 2390
80.0 0.301 2730
90.0 0.338 3070
100 0.376 3410
200 0.752 6820
300 1.13 1.02 × 104
400 1.50 1.36 × 104
500 1.88 1.70 × 104
600 2.26 2.05 × 104
700 2.63 2.39 × 104
800 3.01 2.73 × 104
900 3.38 3.07 × 104
1000 3.76 3.41 × 104
2000 7.52 6.82 × 104
3000 11.3 1.02 × 105
4000 15.0 1.36 × 105
5000 18.8 1.70 × 105
5580 21.0 1.90 × 105
Steel I Beam: W21 × 62 (Wide Flange 21 inch tall × 62 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
62.0 0.432 2880
70.0 0.488 3250
80.0 0.557 3710
90.0 0.627 4180
100 0.696 4640
200 1.39 9280
300 2.09 1.39 × 104
400 2.79 1.86 × 104
500 3.48 2.32 × 104
600 4.18 2.78 × 104
700 4.88 3.25 × 104
800 5.57 3.71 × 104
900 6.27 4.18 × 104
1000 6.96 4.64 × 104
2000 13.9 9.28 × 104
3000 20.9 1.39 × 105
3010 21.0 1.40 × 105
Steel I Beam: W21 × 62 (Wide Flange 21 inch tall × 62 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
62.0 0.737 3760
70.0 0.832 4240
80.0 0.950 4850
90.0 1.07 5450
100 1.19 6060
200 2.38 1.21 × 104
300 3.56 1.82 × 104
400 4.75 2.42 × 104
500 5.94 3.03 × 104
600 7.13 3.64 × 104
700 8.32 4.24 × 104
800 9.50 4.85 × 104
900 10.7 5.45 × 104
1000 11.9 6.06 × 104
1770 21.0 1.07 × 105
Steel I Beam: W21 × 62 (Wide Flange 21 inch tall × 62 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
62.0 1.18 4760
70.0 1.33 5370
80.0 1.52 6140
90.0 1.71 6900
100 1.90 7670
200 3.81 1.53 × 104
300 5.71 2.30 × 104
400 7.61 3.07 × 104
500 9.52 3.84 × 104
600 11.4 4.60 × 104
700 13.3 5.37 × 104
800 15.2 6.14 × 104
900 17.1 6.90 × 104
1000 19.0 7.67 × 104
1100 21.0 8.46 × 104
Steel I Beam: W21 × 62 (Wide Flange 21 inch tall × 62 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
62.0 1.80 5870
70.0 2.03 6630
80.0 2.32 7580
90.0 2.61 8520
100 2.90 9470
200 5.80 1.89 × 104
300 8.70 2.84 × 104
400 11.6 3.79 × 104
500 14.5 4.73 × 104
600 17.4 5.68 × 104
700 20.3 6.63 × 104
724 21.0 6.85 × 104
Steel I Beam: W21 × 62 (Wide Flange 21 inch tall × 62 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
62.0 4.39 9170
70.0 4.96 1.04 × 104
80.0 5.67 1.18 × 104
90.0 6.37 1.33 × 104
100 7.08 1.48 × 104
200 14.2 2.96 × 104
296 21.0 4.39 × 104
Steel I Beam: W21 × 62 (Wide Flange 21 inch tall × 62 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
62.0 9.10 1.32 × 104
70.0 10.3 1.49 × 104
80.0 11.7 1.70 × 104
90.0 13.2 1.92 × 104
100 14.7 2.13 × 104
143 21.0 3.05 × 104
Additional Information
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Salary Expectation

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