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Wide Flange Steel I Beam: W21 × 44
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W21 × 44
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 = 843 in4) for the W21 × 44 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 × 44 (Wide Flange 21 inch tall × 44 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
44.0 1.63 × 10-6 5.82
50.0 1.85 × 10-6 6.62
60.0 2.22 × 10-6 7.94
70.0 2.59 × 10-6 9.26
80.0 2.97 × 10-6 10.6
90.0 3.34 × 10-6 11.9
100 3.71 × 10-6 13.2
200 7.41 × 10-6 26.5
300 1.11 × 10-5 39.7
400 1.48 × 10-5 52.9
500 1.85 × 10-5 66.2
600 2.22 × 10-5 79.4
700 2.59 × 10-5 92.6
800 2.97 × 10-5 106
900 3.34 × 10-5 119
1000 3.71 × 10-5 132
2000 7.41 × 10-5 265
3000 1.11 × 10-4 397
4000 1.48 × 10-4 529
5000 1.85 × 10-4 662
6000 2.22 × 10-4 794
7000 2.59 × 10-4 926
8000 2.97 × 10-4 1060
9000 3.34 × 10-4 1190
1.00 × 104 3.71 × 10-4 1320
2.00 × 104 7.41 × 10-4 2650
3.00 × 104 0.00111 3970
4.00 × 104 0.00148 5290
5.00 × 104 0.00185 6620
6.00 × 104 0.00222 7940
7.00 × 104 0.00259 9260
8.00 × 104 0.00297 1.06 × 104
9.00 × 104 0.00334 1.19 × 104
1.00 × 105 0.00371 1.32 × 104
2.00 × 105 0.00741 2.65 × 104
3.00 × 105 0.0111 3.97 × 104
4.00 × 105 0.0148 5.29 × 104
5.00 × 105 0.0185 6.62 × 104
6.00 × 105 0.0222 7.94 × 104
7.00 × 105 0.0259 9.26 × 104
8.00 × 105 0.0297 1.06 × 105
9.00 × 105 0.0334 1.19 × 105
1.00 × 106 0.0371 1.32 × 105
2.00 × 106 0.0741 2.65 × 105
2.24 × 106 0.0832 2.97 × 105
Steel I Beam: W21 × 44 (Wide Flange 21 inch tall × 44 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
44.0 1.26 × 10-5 16.2
50.0 1.43 × 10-5 18.4
60.0 1.72 × 10-5 22.1
70.0 2.00 × 10-5 25.7
80.0 2.29 × 10-5 29.4
90.0 2.57 × 10-5 33.1
100 2.86 × 10-5 36.8
200 5.72 × 10-5 73.5
300 8.58 × 10-5 110
400 1.14 × 10-4 147
500 1.43 × 10-4 184
600 1.72 × 10-4 221
700 2.00 × 10-4 257
800 2.29 × 10-4 294
900 2.57 × 10-4 331
1000 2.86 × 10-4 368
2000 5.72 × 10-4 735
3000 8.58 × 10-4 1100
4000 0.00114 1470
5000 0.00143 1840
6000 0.00172 2210
7000 0.00200 2570
8000 0.00229 2940
9000 0.00257 3310
1.00 × 104 0.00286 3680
2.00 × 104 0.00572 7350
3.00 × 104 0.00858 1.10 × 104
4.00 × 104 0.0114 1.47 × 104
5.00 × 104 0.0143 1.84 × 104
6.00 × 104 0.0172 2.21 × 104
7.00 × 104 0.0200 2.57 × 104
8.00 × 104 0.0229 2.94 × 104
9.00 × 104 0.0257 3.31 × 104
1.00 × 105 0.0286 3.68 × 104
2.00 × 105 0.0572 7.35 × 104
3.00 × 105 0.0858 1.10 × 105
4.00 × 105 0.114 1.47 × 105
5.00 × 105 0.143 1.84 × 105
6.00 × 105 0.172 2.21 × 105
7.00 × 105 0.200 2.57 × 105
8.00 × 105 0.229 2.94 × 105
8.08 × 105 0.231 2.97 × 105
Steel I Beam: W21 × 44 (Wide Flange 21 inch tall × 44 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
44.0 2.01 × 10-4 64.7
50.0 2.29 × 10-4 73.5
60.0 2.75 × 10-4 88.2
70.0 3.20 × 10-4 103
80.0 3.66 × 10-4 118
90.0 4.12 × 10-4 132
100 4.58 × 10-4 147
200 9.15 × 10-4 294
300 0.00137 441
400 0.00183 588
500 0.00229 735
600 0.00275 882
700 0.00320 1030
800 0.00366 1180
900 0.00412 1320
1000 0.00458 1470
2000 0.00915 2940
3000 0.0137 4410
4000 0.0183 5880
5000 0.0229 7350
6000 0.0275 8820
7000 0.0320 1.03 × 104
8000 0.0366 1.18 × 104
9000 0.0412 1.32 × 104
1.00 × 104 0.0458 1.47 × 104
2.00 × 104 0.0915 2.94 × 104
3.00 × 104 0.137 4.41 × 104
4.00 × 104 0.183 5.88 × 104
5.00 × 104 0.229 7.35 × 104
6.00 × 104 0.275 8.82 × 104
7.00 × 104 0.320 1.03 × 105
8.00 × 104 0.366 1.18 × 105
9.00 × 104 0.412 1.32 × 105
1.00 × 105 0.458 1.47 × 105
2.00 × 105 0.915 2.94 × 105
2.02 × 105 0.924 2.97 × 105
Steel I Beam: W21 × 44 (Wide Flange 21 inch tall × 44 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
44.0 0.00102 146
50.0 0.00116 165
60.0 0.00139 199
70.0 0.00162 232
80.0 0.00185 265
90.0 0.00209 298
100 0.00232 331
200 0.00463 662
300 0.00695 993
400 0.00927 1320
500 0.0116 1650
600 0.0139 1990
700 0.0162 2320
800 0.0185 2650
900 0.0209 2980
1000 0.0232 3310
2000 0.0463 6620
3000 0.0695 9930
4000 0.0927 1.32 × 104
5000 0.116 1.65 × 104
6000 0.139 1.99 × 104
7000 0.162 2.32 × 104
8000 0.185 2.65 × 104
9000 0.209 2.98 × 104
1.00 × 104 0.232 3.31 × 104
2.00 × 104 0.463 6.62 × 104
3.00 × 104 0.695 9.93 × 104
4.00 × 104 0.927 1.32 × 105
5.00 × 104 1.16 1.65 × 105
6.00 × 104 1.39 1.99 × 105
7.00 × 104 1.62 2.32 × 105
8.00 × 104 1.85 2.65 × 105
8.98 × 104 2.08 2.97 × 105
Steel I Beam: W21 × 44 (Wide Flange 21 inch tall × 44 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
44.0 0.00322 259
50.0 0.00366 294
60.0 0.00439 353
70.0 0.00513 412
80.0 0.00586 471
90.0 0.00659 529
100 0.00732 588
200 0.0146 1180
300 0.0220 1760
400 0.0293 2350
500 0.0366 2940
600 0.0439 3530
700 0.0513 4120
800 0.0586 4710
900 0.0659 5290
1000 0.0732 5880
2000 0.146 1.18 × 104
3000 0.220 1.76 × 104
4000 0.293 2.35 × 104
5000 0.366 2.94 × 104
6000 0.439 3.53 × 104
7000 0.513 4.12 × 104
8000 0.586 4.71 × 104
9000 0.659 5.29 × 104
1.00 × 104 0.732 5.88 × 104
2.00 × 104 1.46 1.18 × 105
3.00 × 104 2.20 1.76 × 105
4.00 × 104 2.93 2.35 × 105
5.00 × 104 3.66 2.94 × 105
5.05 × 104 3.70 2.97 × 105
Steel I Beam: W21 × 44 (Wide Flange 21 inch tall × 44 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
44.0 0.00787 404
50.0 0.00894 460
60.0 0.0107 551
70.0 0.0125 643
80.0 0.0143 735
90.0 0.0161 827
100 0.0179 919
200 0.0358 1840
300 0.0536 2760
400 0.0715 3680
500 0.0894 4600
600 0.107 5510
700 0.125 6430
800 0.143 7350
900 0.161 8270
1000 0.179 9190
2000 0.358 1.84 × 104
3000 0.536 2.76 × 104
4000 0.715 3.68 × 104
5000 0.894 4.60 × 104
6000 1.07 5.51 × 104
7000 1.25 6.43 × 104
8000 1.43 7.35 × 104
9000 1.61 8.27 × 104
1.00 × 104 1.79 9.19 × 104
2.00 × 104 3.58 1.84 × 105
3.00 × 104 5.36 2.76 × 105
3.23 × 104 5.78 2.97 × 105
Steel I Beam: W21 × 44 (Wide Flange 21 inch tall × 44 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
44.0 0.0163 582
50.0 0.0185 662
60.0 0.0222 794
70.0 0.0259 926
80.0 0.0297 1060
90.0 0.0334 1190
100 0.0371 1320
200 0.0741 2650
300 0.111 3970
400 0.148 5290
500 0.185 6620
600 0.222 7940
700 0.259 9260
800 0.297 1.06 × 104
900 0.334 1.19 × 104
1000 0.371 1.32 × 104
2000 0.741 2.65 × 104
3000 1.11 3.97 × 104
4000 1.48 5.29 × 104
5000 1.85 6.62 × 104
6000 2.22 7.94 × 104
7000 2.59 9.26 × 104
8000 2.97 1.06 × 105
9000 3.34 1.19 × 105
1.00 × 104 3.71 1.32 × 105
2.00 × 104 7.41 2.65 × 105
2.24 × 104 8.32 2.97 × 105
Steel I Beam: W21 × 44 (Wide Flange 21 inch tall × 44 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
44.0 0.0515 1040
50.0 0.0586 1180
60.0 0.0703 1410
70.0 0.0820 1650
80.0 0.0937 1880
90.0 0.105 2120
100 0.117 2350
200 0.234 4710
300 0.351 7060
400 0.469 9410
500 0.586 1.18 × 104
600 0.703 1.41 × 104
700 0.820 1.65 × 104
800 0.937 1.88 × 104
900 1.05 2.12 × 104
1000 1.17 2.35 × 104
2000 2.34 4.71 × 104
3000 3.51 7.06 × 104
4000 4.69 9.41 × 104
5000 5.86 1.18 × 105
6000 7.03 1.41 × 105
7000 8.20 1.65 × 105
8000 9.37 1.88 × 105
9000 10.5 2.12 × 105
1.00 × 104 11.7 2.35 × 105
1.26 × 104 14.8 2.97 × 105
Steel I Beam: W21 × 44 (Wide Flange 21 inch tall × 44 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
44.0 0.126 1620
50.0 0.143 1840
60.0 0.172 2210
70.0 0.200 2570
80.0 0.229 2940
90.0 0.257 3310
100 0.286 3680
200 0.572 7350
300 0.858 1.10 × 104
400 1.14 1.47 × 104
500 1.43 1.84 × 104
600 1.72 2.21 × 104
700 2.00 2.57 × 104
800 2.29 2.94 × 104
900 2.57 3.31 × 104
1000 2.86 3.68 × 104
2000 5.72 7.35 × 104
3000 8.58 1.10 × 105
4000 11.4 1.47 × 105
5000 14.3 1.84 × 105
6000 17.2 2.21 × 105
7000 20.0 2.57 × 105
7220 20.7 2.66 × 105
Steel I Beam: W21 × 44 (Wide Flange 21 inch tall × 44 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
44.0 0.261 2330
50.0 0.297 2650
60.0 0.356 3180
70.0 0.415 3710
80.0 0.474 4230
90.0 0.534 4760
100 0.593 5290
200 1.19 1.06 × 104
300 1.78 1.59 × 104
400 2.37 2.12 × 104
500 2.97 2.65 × 104
600 3.56 3.18 × 104
700 4.15 3.71 × 104
800 4.74 4.23 × 104
900 5.34 4.76 × 104
1000 5.93 5.29 × 104
2000 11.9 1.06 × 105
3000 17.8 1.59 × 105
3480 20.7 1.84 × 105
Steel I Beam: W21 × 44 (Wide Flange 21 inch tall × 44 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
44.0 0.483 3170
50.0 0.549 3600
60.0 0.659 4320
70.0 0.769 5040
80.0 0.879 5760
90.0 0.989 6480
100 1.10 7210
200 2.20 1.44 × 104
300 3.30 2.16 × 104
400 4.40 2.88 × 104
500 5.49 3.60 × 104
600 6.59 4.32 × 104
700 7.69 5.04 × 104
800 8.79 5.76 × 104
900 9.89 6.48 × 104
1000 11.0 7.21 × 104
1880 20.7 1.35 × 105
Steel I Beam: W21 × 44 (Wide Flange 21 inch tall × 44 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
44.0 0.825 4140
50.0 0.937 4710
60.0 1.12 5650
70.0 1.31 6590
80.0 1.50 7530
90.0 1.69 8470
100 1.87 9410
200 3.75 1.88 × 104
300 5.62 2.82 × 104
400 7.50 3.76 × 104
500 9.37 4.71 × 104
600 11.2 5.65 × 104
700 13.1 6.59 × 104
800 15.0 7.53 × 104
900 16.9 8.47 × 104
1000 18.7 9.41 × 104
1100 20.7 1.04 × 105
Steel I Beam: W21 × 44 (Wide Flange 21 inch tall × 44 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
44.0 1.32 5240
50.0 1.50 5960
60.0 1.80 7150
70.0 2.10 8340
80.0 2.40 9530
90.0 2.70 1.07 × 104
100 3.00 1.19 × 104
200 6.01 2.38 × 104
300 9.01 3.57 × 104
400 12.0 4.76 × 104
500 15.0 5.96 × 104
600 18.0 7.15 × 104
688 20.7 8.20 × 104
Steel I Beam: W21 × 44 (Wide Flange 21 inch tall × 44 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
44.0 2.01 6470
50.0 2.29 7350
60.0 2.75 8820
70.0 3.20 1.03 × 104
80.0 3.66 1.18 × 104
90.0 4.12 1.32 × 104
100 4.58 1.47 × 104
200 9.15 2.94 × 104
300 13.7 4.41 × 104
400 18.3 5.88 × 104
451 20.7 6.64 × 104
Steel I Beam: W21 × 44 (Wide Flange 21 inch tall × 44 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
44.0 4.92 1.01 × 104
50.0 5.59 1.15 × 104
60.0 6.70 1.38 × 104
70.0 7.82 1.61 × 104
80.0 8.94 1.84 × 104
90.0 10.1 2.07 × 104
100 11.2 2.30 × 104
185 20.7 4.25 × 104
Steel I Beam: W21 × 44 (Wide Flange 21 inch tall × 44 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
44.0 10.2 1.46 × 104
50.0 11.6 1.65 × 104
60.0 13.9 1.99 × 104
70.0 16.2 2.32 × 104
80.0 18.5 2.65 × 104
89.2 20.7 2.95 × 104
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