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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » Wide Flange Steel I Beam » W14 × 109
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 = 1240 in4) for the W14 × 109 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: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 2.10 × 10-6 8.50
200 3.86 × 10-6 15.6
300 5.79 × 10-6 23.4
400 7.72 × 10-6 31.2
500 9.65 × 10-6 39.0
600 1.16 × 10-5 46.8
700 1.35 × 10-5 54.6
800 1.54 × 10-5 62.4
900 1.74 × 10-5 70.2
1000 1.93 × 10-5 78.0
2000 3.86 × 10-5 156
3000 5.79 × 10-5 234
4000 7.72 × 10-5 312
5000 9.65 × 10-5 390
6000 1.16 × 10-4 468
7000 1.35 × 10-4 546
8000 1.54 × 10-4 624
9000 1.74 × 10-4 702
1.00 × 104 1.93 × 10-4 780
2.00 × 104 3.86 × 10-4 1560
3.00 × 104 5.79 × 10-4 2340
4.00 × 104 7.72 × 10-4 3120
5.00 × 104 9.65 × 10-4 3900
6.00 × 104 0.00116 4680
7.00 × 104 0.00135 5460
8.00 × 104 0.00154 6240
9.00 × 104 0.00174 7020
1.00 × 105 0.00193 7800
2.00 × 105 0.00386 1.56 × 104
3.00 × 105 0.00579 2.34 × 104
4.00 × 105 0.00772 3.12 × 104
5.00 × 105 0.00965 3.90 × 104
6.00 × 105 0.0116 4.68 × 104
7.00 × 105 0.0135 5.46 × 104
8.00 × 105 0.0154 6.24 × 104
9.00 × 105 0.0174 7.02 × 104
1.00 × 106 0.0193 7.80 × 104
2.00 × 106 0.0386 1.56 × 105
3.00 × 106 0.0579 2.34 × 105
3.81 × 106 0.0736 2.97 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 1.62 × 10-5 23.6
200 2.98 × 10-5 43.3
300 4.47 × 10-5 65.0
400 5.96 × 10-5 86.6
500 7.45 × 10-5 108
600 8.94 × 10-5 130
700 1.04 × 10-4 152
800 1.19 × 10-4 173
900 1.34 × 10-4 195
1000 1.49 × 10-4 217
2000 2.98 × 10-4 433
3000 4.47 × 10-4 650
4000 5.96 × 10-4 866
5000 7.45 × 10-4 1080
6000 8.94 × 10-4 1300
7000 0.00104 1520
8000 0.00119 1730
9000 0.00134 1950
1.00 × 104 0.00149 2170
2.00 × 104 0.00298 4330
3.00 × 104 0.00447 6500
4.00 × 104 0.00596 8660
5.00 × 104 0.00745 1.08 × 104
6.00 × 104 0.00894 1.30 × 104
7.00 × 104 0.0104 1.52 × 104
8.00 × 104 0.0119 1.73 × 104
9.00 × 104 0.0134 1.95 × 104
1.00 × 105 0.0149 2.17 × 104
2.00 × 105 0.0298 4.33 × 104
3.00 × 105 0.0447 6.50 × 104
4.00 × 105 0.0596 8.66 × 104
5.00 × 105 0.0745 1.08 × 105
6.00 × 105 0.0894 1.30 × 105
7.00 × 105 0.104 1.52 × 105
8.00 × 105 0.119 1.73 × 105
9.00 × 105 0.134 1.95 × 105
1.00 × 106 0.149 2.17 × 105
1.37 × 106 0.204 2.97 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 2.60 × 10-4 94.4
200 4.77 × 10-4 173
300 7.15 × 10-4 260
400 9.53 × 10-4 346
500 0.00119 433
600 0.00143 520
700 0.00167 606
800 0.00191 693
900 0.00214 780
1000 0.00238 866
2000 0.00477 1730
3000 0.00715 2600
4000 0.00953 3460
5000 0.0119 4330
6000 0.0143 5200
7000 0.0167 6060
8000 0.0191 6930
9000 0.0214 7800
1.00 × 104 0.0238 8660
2.00 × 104 0.0477 1.73 × 104
3.00 × 104 0.0715 2.60 × 104
4.00 × 104 0.0953 3.46 × 104
5.00 × 104 0.119 4.33 × 104
6.00 × 104 0.143 5.20 × 104
7.00 × 104 0.167 6.06 × 104
8.00 × 104 0.191 6.93 × 104
9.00 × 104 0.214 7.80 × 104
1.00 × 105 0.238 8.66 × 104
2.00 × 105 0.477 1.73 × 105
3.00 × 105 0.715 2.60 × 105
3.43 × 105 0.817 2.97 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 0.00131 212
200 0.00241 390
300 0.00362 585
400 0.00483 780
500 0.00603 974
600 0.00724 1170
700 0.00844 1360
800 0.00965 1560
900 0.0109 1750
1000 0.0121 1950
2000 0.0241 3900
3000 0.0362 5850
4000 0.0483 7800
5000 0.0603 9740
6000 0.0724 1.17 × 104
7000 0.0844 1.36 × 104
8000 0.0965 1.56 × 104
9000 0.109 1.75 × 104
1.00 × 104 0.121 1.95 × 104
2.00 × 104 0.241 3.90 × 104
3.00 × 104 0.362 5.85 × 104
4.00 × 104 0.483 7.80 × 104
5.00 × 104 0.603 9.74 × 104
6.00 × 104 0.724 1.17 × 105
7.00 × 104 0.844 1.36 × 105
8.00 × 104 0.965 1.56 × 105
9.00 × 104 1.09 1.75 × 105
1.00 × 105 1.21 1.95 × 105
1.52 × 105 1.84 2.97 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 0.00416 378
200 0.00763 693
300 0.0114 1040
400 0.0153 1390
500 0.0191 1730
600 0.0229 2080
700 0.0267 2430
800 0.0305 2770
900 0.0343 3120
1000 0.0381 3460
2000 0.0763 6930
3000 0.114 1.04 × 104
4000 0.153 1.39 × 104
5000 0.191 1.73 × 104
6000 0.229 2.08 × 104
7000 0.267 2.43 × 104
8000 0.305 2.77 × 104
9000 0.343 3.12 × 104
1.00 × 104 0.381 3.46 × 104
2.00 × 104 0.763 6.93 × 104
3.00 × 104 1.14 1.04 × 105
4.00 × 104 1.53 1.39 × 105
5.00 × 104 1.91 1.73 × 105
6.00 × 104 2.29 2.08 × 105
7.00 × 104 2.67 2.43 × 105
8.00 × 104 3.05 2.77 × 105
8.57 × 104 3.27 2.97 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 0.0101 590
200 0.0186 1080
300 0.0279 1620
400 0.0372 2170
500 0.0465 2710
600 0.0559 3250
700 0.0652 3790
800 0.0745 4330
900 0.0838 4870
1000 0.0931 5410
2000 0.186 1.08 × 104
3000 0.279 1.62 × 104
4000 0.372 2.17 × 104
5000 0.465 2.71 × 104
6000 0.559 3.25 × 104
7000 0.652 3.79 × 104
8000 0.745 4.33 × 104
9000 0.838 4.87 × 104
1.00 × 104 0.931 5.41 × 104
2.00 × 104 1.86 1.08 × 105
3.00 × 104 2.79 1.62 × 105
4.00 × 104 3.72 2.17 × 105
5.00 × 104 4.65 2.71 × 105
5.49 × 104 5.11 2.97 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 0.0210 850
200 0.0386 1560
300 0.0579 2340
400 0.0772 3120
500 0.0965 3900
600 0.116 4680
700 0.135 5460
800 0.154 6240
900 0.174 7020
1000 0.193 7800
2000 0.386 1.56 × 104
3000 0.579 2.34 × 104
4000 0.772 3.12 × 104
5000 0.965 3.90 × 104
6000 1.16 4.68 × 104
7000 1.35 5.46 × 104
8000 1.54 6.24 × 104
9000 1.74 7.02 × 104
1.00 × 104 1.93 7.80 × 104
2.00 × 104 3.86 1.56 × 105
3.00 × 104 5.79 2.34 × 105
3.81 × 104 7.36 2.97 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 0.0665 1510
200 0.122 2770
300 0.183 4160
400 0.244 5540
500 0.305 6930
600 0.366 8310
700 0.427 9700
800 0.488 1.11 × 104
900 0.549 1.25 × 104
1000 0.610 1.39 × 104
2000 1.22 2.77 × 104
3000 1.83 4.16 × 104
4000 2.44 5.54 × 104
5000 3.05 6.93 × 104
6000 3.66 8.31 × 104
7000 4.27 9.70 × 104
8000 4.88 1.11 × 105
9000 5.49 1.25 × 105
1.00 × 104 6.10 1.39 × 105
2.00 × 104 12.2 2.77 × 105
2.14 × 104 13.1 2.97 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 0.162 2360
200 0.298 4330
300 0.447 6500
400 0.596 8660
500 0.745 1.08 × 104
600 0.894 1.30 × 104
700 1.04 1.52 × 104
800 1.19 1.73 × 104
900 1.34 1.95 × 104
1000 1.49 2.17 × 104
2000 2.98 4.33 × 104
3000 4.47 6.50 × 104
4000 5.96 8.66 × 104
5000 7.45 1.08 × 105
6000 8.94 1.30 × 105
7000 10.4 1.52 × 105
8000 11.9 1.73 × 105
9000 13.4 1.95 × 105
9610 14.3 2.08 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 0.337 3400
200 0.618 6240
300 0.927 9350
400 1.24 1.25 × 104
500 1.54 1.56 × 104
600 1.85 1.87 × 104
700 2.16 2.18 × 104
800 2.47 2.49 × 104
900 2.78 2.81 × 104
1000 3.09 3.12 × 104
2000 6.18 6.24 × 104
3000 9.27 9.35 × 104
4000 12.4 1.25 × 105
4640 14.3 1.45 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 0.624 4630
200 1.14 8490
300 1.72 1.27 × 104
400 2.29 1.70 × 104
500 2.86 2.12 × 104
600 3.43 2.55 × 104
700 4.01 2.97 × 104
800 4.58 3.40 × 104
900 5.15 3.82 × 104
1000 5.72 4.24 × 104
2000 11.4 8.49 × 104
2500 14.3 1.06 × 105
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 1.06 6040
200 1.95 1.11 × 104
300 2.93 1.66 × 104
400 3.90 2.22 × 104
500 4.88 2.77 × 104
600 5.86 3.33 × 104
700 6.83 3.88 × 104
800 7.81 4.43 × 104
900 8.78 4.99 × 104
1000 9.76 5.54 × 104
1470 14.3 8.13 × 104
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 1.70 7650
200 3.13 1.40 × 104
300 4.69 2.10 × 104
400 6.25 2.81 × 104
500 7.82 3.51 × 104
600 9.38 4.21 × 104
700 10.9 4.91 × 104
800 12.5 5.61 × 104
900 14.1 6.31 × 104
916 14.3 6.43 × 104
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 2.60 9440
200 4.77 1.73 × 104
300 7.15 2.60 × 104
400 9.53 3.46 × 104
500 11.9 4.33 × 104
600 14.3 5.20 × 104
601 14.3 5.20 × 104
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 6.34 1.48 × 104
200 11.6 2.71 × 104
246 14.3 3.33 × 104
Steel I Beam: W14 × 109 (Wide Flange 14 inch tall × 109 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
109 13.1 2.12 × 104
119 14.3 2.31 × 104
Additional Information
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