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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 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 = 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 1.35 × 10-6 5.66
70.0 1.52 × 10-6 6.39
80.0 1.74 × 10-6 7.30
90.0 1.96 × 10-6 8.21
100 2.18 × 10-6 9.13
200 4.35 × 10-6 18.3
300 6.53 × 10-6 27.4
400 8.71 × 10-6 36.5
500 1.09 × 10-5 45.6
600 1.31 × 10-5 54.8
700 1.52 × 10-5 63.9
800 1.74 × 10-5 73.0
900 1.96 × 10-5 82.1
1000 2.18 × 10-5 91.3
2000 4.35 × 10-5 183
3000 6.53 × 10-5 274
4000 8.71 × 10-5 365
5000 1.09 × 10-4 456
6000 1.31 × 10-4 548
7000 1.52 × 10-4 639
8000 1.74 × 10-4 730
9000 1.96 × 10-4 821
1.00 × 104 2.18 × 10-4 913
2.00 × 104 4.35 × 10-4 1830
3.00 × 104 6.53 × 10-4 2740
4.00 × 104 8.71 × 10-4 3650
5.00 × 104 0.00109 4560
6.00 × 104 0.00131 5480
7.00 × 104 0.00152 6390
8.00 × 104 0.00174 7300
9.00 × 104 0.00196 8210
1.00 × 105 0.00218 9130
2.00 × 105 0.00435 1.83 × 104
3.00 × 105 0.00653 2.74 × 104
4.00 × 105 0.00871 3.65 × 104
5.00 × 105 0.0109 4.56 × 104
6.00 × 105 0.0131 5.48 × 104
7.00 × 105 0.0152 6.39 × 104
8.00 × 105 0.0174 7.30 × 104
9.00 × 105 0.0196 8.21 × 104
1.00 × 106 0.0218 9.13 × 104
2.00 × 106 0.0435 1.83 × 105
3.00 × 106 0.0653 2.74 × 105
3.25 × 106 0.0708 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 1.04 × 10-5 15.7
70.0 1.18 × 10-5 17.7
80.0 1.34 × 10-5 20.3
90.0 1.51 × 10-5 22.8
100 1.68 × 10-5 25.4
200 3.36 × 10-5 50.7
300 5.04 × 10-5 76.1
400 6.72 × 10-5 101
500 8.40 × 10-5 127
600 1.01 × 10-4 152
700 1.18 × 10-4 177
800 1.34 × 10-4 203
900 1.51 × 10-4 228
1000 1.68 × 10-4 254
2000 3.36 × 10-4 507
3000 5.04 × 10-4 761
4000 6.72 × 10-4 1010
5000 8.40 × 10-4 1270
6000 0.00101 1520
7000 0.00118 1770
8000 0.00134 2030
9000 0.00151 2280
1.00 × 104 0.00168 2540
2.00 × 104 0.00336 5070
3.00 × 104 0.00504 7610
4.00 × 104 0.00672 1.01 × 104
5.00 × 104 0.00840 1.27 × 104
6.00 × 104 0.0101 1.52 × 104
7.00 × 104 0.0118 1.77 × 104
8.00 × 104 0.0134 2.03 × 104
9.00 × 104 0.0151 2.28 × 104
1.00 × 105 0.0168 2.54 × 104
2.00 × 105 0.0336 5.07 × 104
3.00 × 105 0.0504 7.61 × 104
4.00 × 105 0.0672 1.01 × 105
5.00 × 105 0.0840 1.27 × 105
6.00 × 105 0.101 1.52 × 105
7.00 × 105 0.118 1.77 × 105
8.00 × 105 0.134 2.03 × 105
9.00 × 105 0.151 2.28 × 105
1.00 × 106 0.168 2.54 × 105
1.17 × 106 0.197 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 1.67 × 10-4 62.9
70.0 1.88 × 10-4 71.0
80.0 2.15 × 10-4 81.1
90.0 2.42 × 10-4 91.3
100 2.69 × 10-4 101
200 5.37 × 10-4 203
300 8.06 × 10-4 304
400 0.00107 406
500 0.00134 507
600 0.00161 608
700 0.00188 710
800 0.00215 811
900 0.00242 913
1000 0.00269 1010
2000 0.00537 2030
3000 0.00806 3040
4000 0.0107 4060
5000 0.0134 5070
6000 0.0161 6080
7000 0.0188 7100
8000 0.0215 8110
9000 0.0242 9130
1.00 × 104 0.0269 1.01 × 104
2.00 × 104 0.0537 2.03 × 104
3.00 × 104 0.0806 3.04 × 104
4.00 × 104 0.107 4.06 × 104
5.00 × 104 0.134 5.07 × 104
6.00 × 104 0.161 6.08 × 104
7.00 × 104 0.188 7.10 × 104
8.00 × 104 0.215 8.11 × 104
9.00 × 104 0.242 9.13 × 104
1.00 × 105 0.269 1.01 × 105
2.00 × 105 0.537 2.03 × 105
2.93 × 105 0.787 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 8.44 × 10-4 141
70.0 9.52 × 10-4 160
80.0 0.00109 183
90.0 0.00122 205
100 0.00136 228
200 0.00272 456
300 0.00408 685
400 0.00544 913
500 0.00680 1140
600 0.00816 1370
700 0.00952 1600
800 0.0109 1830
900 0.0122 2050
1000 0.0136 2280
2000 0.0272 4560
3000 0.0408 6850
4000 0.0544 9130
5000 0.0680 1.14 × 104
6000 0.0816 1.37 × 104
7000 0.0952 1.60 × 104
8000 0.109 1.83 × 104
9000 0.122 2.05 × 104
1.00 × 104 0.136 2.28 × 104
2.00 × 104 0.272 4.56 × 104
3.00 × 104 0.408 6.85 × 104
4.00 × 104 0.544 9.13 × 104
5.00 × 104 0.680 1.14 × 105
6.00 × 104 0.816 1.37 × 105
7.00 × 104 0.952 1.60 × 105
8.00 × 104 1.09 1.83 × 105
9.00 × 104 1.22 2.05 × 105
1.00 × 105 1.36 2.28 × 105
1.30 × 105 1.77 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 0.00267 252
70.0 0.00301 284
80.0 0.00344 325
90.0 0.00387 365
100 0.00430 406
200 0.00860 811
300 0.0129 1220
400 0.0172 1620
500 0.0215 2030
600 0.0258 2430
700 0.0301 2840
800 0.0344 3250
900 0.0387 3650
1000 0.0430 4060
2000 0.0860 8110
3000 0.129 1.22 × 104
4000 0.172 1.62 × 104
5000 0.215 2.03 × 104
6000 0.258 2.43 × 104
7000 0.301 2.84 × 104
8000 0.344 3.25 × 104
9000 0.387 3.65 × 104
1.00 × 104 0.430 4.06 × 104
2.00 × 104 0.860 8.11 × 104
3.00 × 104 1.29 1.22 × 105
4.00 × 104 1.72 1.62 × 105
5.00 × 104 2.15 2.03 × 105
6.00 × 104 2.58 2.43 × 105
7.00 × 104 3.01 2.84 × 105
7.32 × 104 3.15 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 0.00651 393
70.0 0.00735 444
80.0 0.00840 507
90.0 0.00945 570
100 0.0105 634
200 0.0210 1270
300 0.0315 1900
400 0.0420 2540
500 0.0525 3170
600 0.0630 3800
700 0.0735 4440
800 0.0840 5070
900 0.0945 5700
1000 0.105 6340
2000 0.210 1.27 × 104
3000 0.315 1.90 × 104
4000 0.420 2.54 × 104
5000 0.525 3.17 × 104
6000 0.630 3.80 × 104
7000 0.735 4.44 × 104
8000 0.840 5.07 × 104
9000 0.945 5.70 × 104
1.00 × 104 1.05 6.34 × 104
2.00 × 104 2.10 1.27 × 105
3.00 × 104 3.15 1.90 × 105
4.00 × 104 4.20 2.54 × 105
4.69 × 104 4.92 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 0.0135 566
70.0 0.0152 639
80.0 0.0174 730
90.0 0.0196 821
100 0.0218 913
200 0.0435 1830
300 0.0653 2740
400 0.0871 3650
500 0.109 4560
600 0.131 5480
700 0.152 6390
800 0.174 7300
900 0.196 8210
1000 0.218 9130
2000 0.435 1.83 × 104
3000 0.653 2.74 × 104
4000 0.871 3.65 × 104
5000 1.09 4.56 × 104
6000 1.31 5.48 × 104
7000 1.52 6.39 × 104
8000 1.74 7.30 × 104
9000 1.96 8.21 × 104
1.00 × 104 2.18 9.13 × 104
2.00 × 104 4.35 1.83 × 105
3.00 × 104 6.53 2.74 × 105
3.25 × 104 7.08 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 0.0427 1010
70.0 0.0482 1140
80.0 0.0550 1300
90.0 0.0619 1460
100 0.0688 1620
200 0.138 3250
300 0.206 4870
400 0.275 6490
500 0.344 8110
600 0.413 9740
700 0.482 1.14 × 104
800 0.550 1.30 × 104
900 0.619 1.46 × 104
1000 0.688 1.62 × 104
2000 1.38 3.25 × 104
3000 2.06 4.87 × 104
4000 2.75 6.49 × 104
5000 3.44 8.11 × 104
6000 4.13 9.74 × 104
7000 4.82 1.14 × 105
8000 5.50 1.30 × 105
9000 6.19 1.46 × 105
1.00 × 104 6.88 1.62 × 105
1.83 × 104 12.6 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 0.104 1570
70.0 0.118 1770
80.0 0.134 2030
90.0 0.151 2280
100 0.168 2540
200 0.336 5070
300 0.504 7610
400 0.672 1.01 × 104
500 0.840 1.27 × 104
600 1.01 1.52 × 104
700 1.18 1.77 × 104
800 1.34 2.03 × 104
900 1.51 2.28 × 104
1000 1.68 2.54 × 104
2000 3.36 5.07 × 104
3000 5.04 7.61 × 104
4000 6.72 1.01 × 105
5000 8.40 1.27 × 105
6000 10.1 1.52 × 105
7000 11.8 1.77 × 105
8000 13.4 2.03 × 105
9000 15.1 2.28 × 105
1.00 × 104 16.8 2.54 × 105
1.17 × 104 19.7 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 0.216 2260
70.0 0.244 2560
80.0 0.279 2920
90.0 0.313 3290
100 0.348 3650
200 0.697 7300
300 1.04 1.10 × 104
400 1.39 1.46 × 104
500 1.74 1.83 × 104
600 2.09 2.19 × 104
700 2.44 2.56 × 104
800 2.79 2.92 × 104
900 3.13 3.29 × 104
1000 3.48 3.65 × 104
2000 6.97 7.30 × 104
3000 10.4 1.10 × 105
4000 13.9 1.46 × 105
5000 17.4 1.83 × 105
6000 20.9 2.19 × 105
6030 21.0 2.20 × 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 0.400 3080
70.0 0.452 3480
80.0 0.516 3980
90.0 0.581 4470
100 0.645 4970
200 1.29 9940
300 1.94 1.49 × 104
400 2.58 1.99 × 104
500 3.23 2.48 × 104
600 3.87 2.98 × 104
700 4.52 3.48 × 104
800 5.16 3.98 × 104
900 5.81 4.47 × 104
1000 6.45 4.97 × 104
2000 12.9 9.94 × 104
3000 19.4 1.49 × 105
3250 21.0 1.62 × 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 0.682 4020
70.0 0.771 4540
80.0 0.881 5190
90.0 0.991 5840
100 1.10 6490
200 2.20 1.30 × 104
300 3.30 1.95 × 104
400 4.40 2.60 × 104
500 5.50 3.25 × 104
600 6.60 3.89 × 104
700 7.71 4.54 × 104
800 8.81 5.19 × 104
900 9.91 5.84 × 104
1000 11.0 6.49 × 104
1910 21.0 1.24 × 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 1.09 5090
70.0 1.23 5750
80.0 1.41 6570
90.0 1.59 7390
100 1.76 8210
200 3.53 1.64 × 104
300 5.29 2.46 × 104
400 7.05 3.29 × 104
500 8.82 4.11 × 104
600 10.6 4.93 × 104
700 12.3 5.75 × 104
800 14.1 6.57 × 104
900 15.9 7.39 × 104
1000 17.6 8.21 × 104
1190 21.0 9.78 × 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 1.67 6290
70.0 1.88 7100
80.0 2.15 8110
90.0 2.42 9130
100 2.69 1.01 × 104
200 5.37 2.03 × 104
300 8.06 3.04 × 104
400 10.7 4.06 × 104
500 13.4 5.07 × 104
600 16.1 6.08 × 104
700 18.8 7.10 × 104
781 21.0 7.92 × 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 4.07 9820
70.0 4.59 1.11 × 104
80.0 5.25 1.27 × 104
90.0 5.90 1.43 × 104
100 6.56 1.58 × 104
200 13.1 3.17 × 104
300 19.7 4.75 × 104
320 21.0 5.07 × 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 8.44 1.41 × 104
70.0 9.52 1.60 × 104
80.0 10.9 1.83 × 104
90.0 12.2 2.05 × 104
100 13.6 2.28 × 104
154 21.0 3.52 × 104
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