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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W14 × 176
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 = 2140 in4) for the W14 × 176 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 × 176 (Wide Flange 14 inch tall × 176 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
176 2.38 × 10-6 7.24
200 2.71 × 10-6 8.23
300 4.06 × 10-6 12.3
400 5.41 × 10-6 16.5
500 6.76 × 10-6 20.6
600 8.12 × 10-6 24.7
700 9.47 × 10-6 28.8
800 1.08 × 10-5 32.9
900 1.22 × 10-5 37.0
1000 1.35 × 10-5 41.1
2000 2.71 × 10-5 82.3
3000 4.06 × 10-5 123
4000 5.41 × 10-5 165
5000 6.76 × 10-5 206
6000 8.12 × 10-5 247
7000 9.47 × 10-5 288
8000 1.08 × 10-4 329
9000 1.22 × 10-4 370
1.00 × 104 1.35 × 10-4 411
2.00 × 104 2.71 × 10-4 823
3.00 × 104 4.06 × 10-4 1230
4.00 × 104 5.41 × 10-4 1650
5.00 × 104 6.76 × 10-4 2060
6.00 × 104 8.12 × 10-4 2470
7.00 × 104 9.47 × 10-4 2880
8.00 × 104 0.00108 3290
9.00 × 104 0.00122 3700
1.00 × 105 0.00135 4110
2.00 × 105 0.00271 8230
3.00 × 105 0.00406 1.23 × 104
4.00 × 105 0.00541 1.65 × 104
5.00 × 105 0.00676 2.06 × 104
6.00 × 105 0.00812 2.47 × 104
7.00 × 105 0.00947 2.88 × 104
8.00 × 105 0.0108 3.29 × 104
9.00 × 105 0.0122 3.70 × 104
1.00 × 106 0.0135 4.11 × 104
2.00 × 106 0.0271 8.23 × 104
3.00 × 106 0.0406 1.23 × 105
4.00 × 106 0.0541 1.65 × 105
5.00 × 106 0.0676 2.06 × 105
6.00 × 106 0.0812 2.47 × 105
7.00 × 106 0.0947 2.88 × 105
7.22 × 106 0.0977 2.97 × 105
Steel I Beam: W14 × 176 (Wide Flange 14 inch tall × 176 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
176 1.84 × 10-5 20.1
200 2.09 × 10-5 22.9
300 3.13 × 10-5 34.3
400 4.18 × 10-5 45.7
500 5.22 × 10-5 57.1
600 6.26 × 10-5 68.6
700 7.31 × 10-5 80.0
800 8.35 × 10-5 91.4
900 9.39 × 10-5 103
1000 1.04 × 10-4 114
2000 2.09 × 10-4 229
3000 3.13 × 10-4 343
4000 4.18 × 10-4 457
5000 5.22 × 10-4 571
6000 6.26 × 10-4 686
7000 7.31 × 10-4 800
8000 8.35 × 10-4 914
9000 9.39 × 10-4 1030
1.00 × 104 0.00104 1140
2.00 × 104 0.00209 2290
3.00 × 104 0.00313 3430
4.00 × 104 0.00418 4570
5.00 × 104 0.00522 5710
6.00 × 104 0.00626 6860
7.00 × 104 0.00731 8000
8.00 × 104 0.00835 9140
9.00 × 104 0.00939 1.03 × 104
1.00 × 105 0.0104 1.14 × 104
2.00 × 105 0.0209 2.29 × 104
3.00 × 105 0.0313 3.43 × 104
4.00 × 105 0.0418 4.57 × 104
5.00 × 105 0.0522 5.71 × 104
6.00 × 105 0.0626 6.86 × 104
7.00 × 105 0.0731 8.00 × 104
8.00 × 105 0.0835 9.14 × 104
9.00 × 105 0.0939 1.03 × 105
1.00 × 106 0.104 1.14 × 105
2.00 × 106 0.209 2.29 × 105
2.60 × 106 0.271 2.97 × 105
Steel I Beam: W14 × 176 (Wide Flange 14 inch tall × 176 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
176 2.94 × 10-4 80.4
200 3.34 × 10-4 91.4
300 5.01 × 10-4 137
400 6.68 × 10-4 183
500 8.35 × 10-4 229
600 0.00100 274
700 0.00117 320
800 0.00134 366
900 0.00150 411
1000 0.00167 457
2000 0.00334 914
3000 0.00501 1370
4000 0.00668 1830
5000 0.00835 2290
6000 0.0100 2740
7000 0.0117 3200
8000 0.0134 3660
9000 0.0150 4110
1.00 × 104 0.0167 4570
2.00 × 104 0.0334 9140
3.00 × 104 0.0501 1.37 × 104
4.00 × 104 0.0668 1.83 × 104
5.00 × 104 0.0835 2.29 × 104
6.00 × 104 0.100 2.74 × 104
7.00 × 104 0.117 3.20 × 104
8.00 × 104 0.134 3.66 × 104
9.00 × 104 0.150 4.11 × 104
1.00 × 105 0.167 4.57 × 104
2.00 × 105 0.334 9.14 × 104
3.00 × 105 0.501 1.37 × 105
4.00 × 105 0.668 1.83 × 105
5.00 × 105 0.835 2.29 × 105
6.00 × 105 1.00 2.74 × 105
6.50 × 105 1.09 2.97 × 105
Steel I Beam: W14 × 176 (Wide Flange 14 inch tall × 176 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
176 0.00149 181
200 0.00169 206
300 0.00254 308
400 0.00338 411
500 0.00423 514
600 0.00507 617
700 0.00592 720
800 0.00676 823
900 0.00761 925
1000 0.00846 1030
2000 0.0169 2060
3000 0.0254 3080
4000 0.0338 4110
5000 0.0423 5140
6000 0.0507 6170
7000 0.0592 7200
8000 0.0676 8230
9000 0.0761 9250
1.00 × 104 0.0846 1.03 × 104
2.00 × 104 0.169 2.06 × 104
3.00 × 104 0.254 3.08 × 104
4.00 × 104 0.338 4.11 × 104
5.00 × 104 0.423 5.14 × 104
6.00 × 104 0.507 6.17 × 104
7.00 × 104 0.592 7.20 × 104
8.00 × 104 0.676 8.23 × 104
9.00 × 104 0.761 9.25 × 104
1.00 × 105 0.846 1.03 × 105
2.00 × 105 1.69 2.06 × 105
2.89 × 105 2.44 2.97 × 105
Steel I Beam: W14 × 176 (Wide Flange 14 inch tall × 176 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
176 0.00470 322
200 0.00534 366
300 0.00802 548
400 0.0107 731
500 0.0134 914
600 0.0160 1100
700 0.0187 1280
800 0.0214 1460
900 0.0241 1650
1000 0.0267 1830
2000 0.0534 3660
3000 0.0802 5480
4000 0.107 7310
5000 0.134 9140
6000 0.160 1.10 × 104
7000 0.187 1.28 × 104
8000 0.214 1.46 × 104
9000 0.241 1.65 × 104
1.00 × 104 0.267 1.83 × 104
2.00 × 104 0.534 3.66 × 104
3.00 × 104 0.802 5.48 × 104
4.00 × 104 1.07 7.31 × 104
5.00 × 104 1.34 9.14 × 104
6.00 × 104 1.60 1.10 × 105
7.00 × 104 1.87 1.28 × 105
8.00 × 104 2.14 1.46 × 105
9.00 × 104 2.41 1.65 × 105
1.00 × 105 2.67 1.83 × 105
1.62 × 105 4.34 2.97 × 105
Steel I Beam: W14 × 176 (Wide Flange 14 inch tall × 176 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
176 0.0115 503
200 0.0130 571
300 0.0196 857
400 0.0261 1140
500 0.0326 1430
600 0.0391 1710
700 0.0457 2000
800 0.0522 2290
900 0.0587 2570
1000 0.0652 2860
2000 0.130 5710
3000 0.196 8570
4000 0.261 1.14 × 104
5000 0.326 1.43 × 104
6000 0.391 1.71 × 104
7000 0.457 2.00 × 104
8000 0.522 2.29 × 104
9000 0.587 2.57 × 104
1.00 × 104 0.652 2.86 × 104
2.00 × 104 1.30 5.71 × 104
3.00 × 104 1.96 8.57 × 104
4.00 × 104 2.61 1.14 × 105
5.00 × 104 3.26 1.43 × 105
6.00 × 104 3.91 1.71 × 105
7.00 × 104 4.57 2.00 × 105
8.00 × 104 5.22 2.29 × 105
9.00 × 104 5.87 2.57 × 105
1.00 × 105 6.52 2.86 × 105
1.04 × 105 6.78 2.97 × 105
Steel I Beam: W14 × 176 (Wide Flange 14 inch tall × 176 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
176 0.0238 724
200 0.0271 823
300 0.0406 1230
400 0.0541 1650
500 0.0676 2060
600 0.0812 2470
700 0.0947 2880
800 0.108 3290
900 0.122 3700
1000 0.135 4110
2000 0.271 8230
3000 0.406 1.23 × 104
4000 0.541 1.65 × 104
5000 0.676 2.06 × 104
6000 0.812 2.47 × 104
7000 0.947 2.88 × 104
8000 1.08 3.29 × 104
9000 1.22 3.70 × 104
1.00 × 104 1.35 4.11 × 104
2.00 × 104 2.71 8.23 × 104
3.00 × 104 4.06 1.23 × 105
4.00 × 104 5.41 1.65 × 105
5.00 × 104 6.76 2.06 × 105
6.00 × 104 8.12 2.47 × 105
7.00 × 104 9.47 2.88 × 105
7.22 × 104 9.77 2.97 × 105
Steel I Beam: W14 × 176 (Wide Flange 14 inch tall × 176 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
176 0.0753 1290
200 0.0855 1460
300 0.128 2190
400 0.171 2920
500 0.214 3660
600 0.257 4390
700 0.299 5120
800 0.342 5850
900 0.385 6580
1000 0.428 7310
2000 0.855 1.46 × 104
3000 1.28 2.19 × 104
4000 1.71 2.92 × 104
5000 2.14 3.66 × 104
6000 2.57 4.39 × 104
7000 2.99 5.12 × 104
8000 3.42 5.85 × 104
9000 3.85 6.58 × 104
1.00 × 104 4.28 7.31 × 104
2.00 × 104 8.55 1.46 × 105
3.00 × 104 12.8 2.19 × 105
3.56 × 104 15.2 2.60 × 105
Steel I Beam: W14 × 176 (Wide Flange 14 inch tall × 176 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
176 0.184 2010
200 0.209 2290
300 0.313 3430
400 0.418 4570
500 0.522 5710
600 0.626 6860
700 0.731 8000
800 0.835 9140
900 0.939 1.03 × 104
1000 1.04 1.14 × 104
2000 2.09 2.29 × 104
3000 3.13 3.43 × 104
4000 4.18 4.57 × 104
5000 5.22 5.71 × 104
6000 6.26 6.86 × 104
7000 7.31 8.00 × 104
8000 8.35 9.14 × 104
9000 9.39 1.03 × 105
1.00 × 104 10.4 1.14 × 105
1.46 × 104 15.2 1.67 × 105
Steel I Beam: W14 × 176 (Wide Flange 14 inch tall × 176 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
176 0.381 2900
200 0.433 3290
300 0.649 4940
400 0.866 6580
500 1.08 8230
600 1.30 9870
700 1.52 1.15 × 104
800 1.73 1.32 × 104
900 1.95 1.48 × 104
1000 2.16 1.65 × 104
2000 4.33 3.29 × 104
3000 6.49 4.94 × 104
4000 8.66 6.58 × 104
5000 10.8 8.23 × 104
6000 13.0 9.87 × 104
7000 15.2 1.15 × 105
7030 15.2 1.16 × 105
Steel I Beam: W14 × 176 (Wide Flange 14 inch tall × 176 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
176 0.706 3940
200 0.802 4480
300 1.20 6720
400 1.60 8960
500 2.01 1.12 × 104
600 2.41 1.34 × 104
700 2.81 1.57 × 104
800 3.21 1.79 × 104
900 3.61 2.02 × 104
1000 4.01 2.24 × 104
2000 8.02 4.48 × 104
3000 12.0 6.72 × 104
3800 15.2 8.50 × 104
Steel I Beam: W14 × 176 (Wide Flange 14 inch tall × 176 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
176 1.20 5150
200 1.37 5850
300 2.05 8770
400 2.74 1.17 × 104
500 3.42 1.46 × 104
600 4.10 1.75 × 104
700 4.79 2.05 × 104
800 5.47 2.34 × 104
900 6.16 2.63 × 104
1000 6.84 2.92 × 104
2000 13.7 5.85 × 104
2220 15.2 6.51 × 104
Steel I Beam: W14 × 176 (Wide Flange 14 inch tall × 176 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
176 1.93 6520
200 2.19 7400
300 3.29 1.11 × 104
400 4.38 1.48 × 104
500 5.48 1.85 × 104
600 6.57 2.22 × 104
700 7.67 2.59 × 104
800 8.77 2.96 × 104
900 9.86 3.33 × 104
1000 11.0 3.70 × 104
1390 15.2 5.14 × 104
Steel I Beam: W14 × 176 (Wide Flange 14 inch tall × 176 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
176 2.94 8040
200 3.34 9140
300 5.01 1.37 × 104
400 6.68 1.83 × 104
500 8.35 2.29 × 104
600 10.0 2.74 × 104
700 11.7 3.20 × 104
800 13.4 3.66 × 104
900 15.0 4.11 × 104
911 15.2 4.16 × 104
Steel I Beam: W14 × 176 (Wide Flange 14 inch tall × 176 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
176 7.18 1.26 × 104
200 8.16 1.43 × 104
300 12.2 2.14 × 104
373 15.2 2.67 × 104
Steel I Beam: W14 × 176 (Wide Flange 14 inch tall × 176 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
176 14.9 1.81 × 104
180 15.2 1.85 × 104
Additional Information
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