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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W14 × 159
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 = 1900 in4) for the W14 × 159 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
   
Steel I Beam: W14 × 159 (Wide Flange 14 inch tall × 159 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
159 2.42 × 10-6 7.25
200 3.05 × 10-6 9.12
300 4.57 × 10-6 13.7
400 6.10 × 10-6 18.2
500 7.62 × 10-6 22.8
600 9.14 × 10-6 27.4
700 1.07 × 10-5 31.9
800 1.22 × 10-5 36.5
900 1.37 × 10-5 41.0
1000 1.52 × 10-5 45.6
2000 3.05 × 10-5 91.2
3000 4.57 × 10-5 137
4000 6.10 × 10-5 182
5000 7.62 × 10-5 228
6000 9.14 × 10-5 274
7000 1.07 × 10-4 319
8000 1.22 × 10-4 365
9000 1.37 × 10-4 410
1.00 × 104 1.52 × 10-4 456
2.00 × 104 3.05 × 10-4 912
3.00 × 104 4.57 × 10-4 1370
4.00 × 104 6.10 × 10-4 1820
5.00 × 104 7.62 × 10-4 2280
6.00 × 104 9.14 × 10-4 2740
7.00 × 104 0.00107 3190
8.00 × 104 0.00122 3650
9.00 × 104 0.00137 4100
1.00 × 105 0.00152 4560
2.00 × 105 0.00305 9120
3.00 × 105 0.00457 1.37 × 104
4.00 × 105 0.00610 1.82 × 104
5.00 × 105 0.00762 2.28 × 104
6.00 × 105 0.00914 2.74 × 104
7.00 × 105 0.0107 3.19 × 104
8.00 × 105 0.0122 3.65 × 104
9.00 × 105 0.0137 4.10 × 104
1.00 × 106 0.0152 4.56 × 104
2.00 × 106 0.0305 9.12 × 104
3.00 × 106 0.0457 1.37 × 105
4.00 × 106 0.0610 1.82 × 105
5.00 × 106 0.0762 2.28 × 105
6.00 × 106 0.0914 2.74 × 105
6.51 × 106 0.0993 2.97 × 105
Steel I Beam: W14 × 159 (Wide Flange 14 inch tall × 159 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
159 1.87 × 10-5 20.1
200 2.35 × 10-5 25.3
300 3.53 × 10-5 38.0
400 4.70 × 10-5 50.7
500 5.88 × 10-5 63.3
600 7.05 × 10-5 76.0
700 8.23 × 10-5 88.7
800 9.41 × 10-5 101
900 1.06 × 10-4 114
1000 1.18 × 10-4 127
2000 2.35 × 10-4 253
3000 3.53 × 10-4 380
4000 4.70 × 10-4 507
5000 5.88 × 10-4 633
6000 7.05 × 10-4 760
7000 8.23 × 10-4 887
8000 9.41 × 10-4 1010
9000 0.00106 1140
1.00 × 104 0.00118 1270
2.00 × 104 0.00235 2530
3.00 × 104 0.00353 3800
4.00 × 104 0.00470 5070
5.00 × 104 0.00588 6330
6.00 × 104 0.00705 7600
7.00 × 104 0.00823 8870
8.00 × 104 0.00941 1.01 × 104
9.00 × 104 0.0106 1.14 × 104
1.00 × 105 0.0118 1.27 × 104
2.00 × 105 0.0235 2.53 × 104
3.00 × 105 0.0353 3.80 × 104
4.00 × 105 0.0470 5.07 × 104
5.00 × 105 0.0588 6.33 × 104
6.00 × 105 0.0705 7.60 × 104
7.00 × 105 0.0823 8.87 × 104
8.00 × 105 0.0941 1.01 × 105
9.00 × 105 0.106 1.14 × 105
1.00 × 106 0.118 1.27 × 105
2.00 × 106 0.235 2.53 × 105
2.35 × 106 0.276 2.97 × 105
Steel I Beam: W14 × 159 (Wide Flange 14 inch tall × 159 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
159 2.99 × 10-4 80.6
200 3.76 × 10-4 101
300 5.64 × 10-4 152
400 7.52 × 10-4 203
500 9.41 × 10-4 253
600 0.00113 304
700 0.00132 355
800 0.00150 405
900 0.00169 456
1000 0.00188 507
2000 0.00376 1010
3000 0.00564 1520
4000 0.00752 2030
5000 0.00941 2530
6000 0.0113 3040
7000 0.0132 3550
8000 0.0150 4050
9000 0.0169 4560
1.00 × 104 0.0188 5070
2.00 × 104 0.0376 1.01 × 104
3.00 × 104 0.0564 1.52 × 104
4.00 × 104 0.0752 2.03 × 104
5.00 × 104 0.0941 2.53 × 104
6.00 × 104 0.113 3.04 × 104
7.00 × 104 0.132 3.55 × 104
8.00 × 104 0.150 4.05 × 104
9.00 × 104 0.169 4.56 × 104
1.00 × 105 0.188 5.07 × 104
2.00 × 105 0.376 1.01 × 105
3.00 × 105 0.564 1.52 × 105
4.00 × 105 0.752 2.03 × 105
5.00 × 105 0.941 2.53 × 105
5.86 × 105 1.10 2.97 × 105
Steel I Beam: W14 × 159 (Wide Flange 14 inch tall × 159 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
159 0.00151 181
200 0.00190 228
300 0.00286 342
400 0.00381 456
500 0.00476 570
600 0.00571 684
700 0.00667 798
800 0.00762 912
900 0.00857 1030
1000 0.00952 1140
2000 0.0190 2280
3000 0.0286 3420
4000 0.0381 4560
5000 0.0476 5700
6000 0.0571 6840
7000 0.0667 7980
8000 0.0762 9120
9000 0.0857 1.03 × 104
1.00 × 104 0.0952 1.14 × 104
2.00 × 104 0.190 2.28 × 104
3.00 × 104 0.286 3.42 × 104
4.00 × 104 0.381 4.56 × 104
5.00 × 104 0.476 5.70 × 104
6.00 × 104 0.571 6.84 × 104
7.00 × 104 0.667 7.98 × 104
8.00 × 104 0.762 9.12 × 104
9.00 × 104 0.857 1.03 × 105
1.00 × 105 0.952 1.14 × 105
2.00 × 105 1.90 2.28 × 105
2.61 × 105 2.48 2.97 × 105
Steel I Beam: W14 × 159 (Wide Flange 14 inch tall × 159 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
159 0.00479 322
200 0.00602 405
300 0.00903 608
400 0.0120 811
500 0.0150 1010
600 0.0181 1220
700 0.0211 1420
800 0.0241 1620
900 0.0271 1820
1000 0.0301 2030
2000 0.0602 4050
3000 0.0903 6080
4000 0.120 8110
5000 0.150 1.01 × 104
6000 0.181 1.22 × 104
7000 0.211 1.42 × 104
8000 0.241 1.62 × 104
9000 0.271 1.82 × 104
1.00 × 104 0.301 2.03 × 104
2.00 × 104 0.602 4.05 × 104
3.00 × 104 0.903 6.08 × 104
4.00 × 104 1.20 8.11 × 104
5.00 × 104 1.50 1.01 × 105
6.00 × 104 1.81 1.22 × 105
7.00 × 104 2.11 1.42 × 105
8.00 × 104 2.41 1.62 × 105
9.00 × 104 2.71 1.82 × 105
1.00 × 105 3.01 2.03 × 105
1.47 × 105 4.41 2.97 × 105
Steel I Beam: W14 × 159 (Wide Flange 14 inch tall × 159 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
159 0.0117 503
200 0.0147 633
300 0.0220 950
400 0.0294 1270
500 0.0367 1580
600 0.0441 1900
700 0.0514 2220
800 0.0588 2530
900 0.0661 2850
1000 0.0735 3170
2000 0.147 6330
3000 0.220 9500
4000 0.294 1.27 × 104
5000 0.367 1.58 × 104
6000 0.441 1.90 × 104
7000 0.514 2.22 × 104
8000 0.588 2.53 × 104
9000 0.661 2.85 × 104
1.00 × 104 0.735 3.17 × 104
2.00 × 104 1.47 6.33 × 104
3.00 × 104 2.20 9.50 × 104
4.00 × 104 2.94 1.27 × 105
5.00 × 104 3.67 1.58 × 105
6.00 × 104 4.41 1.90 × 105
7.00 × 104 5.14 2.22 × 105
8.00 × 104 5.88 2.53 × 105
9.00 × 104 6.61 2.85 × 105
9.38 × 104 6.89 2.97 × 105
Steel I Beam: W14 × 159 (Wide Flange 14 inch tall × 159 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
159 0.0242 725
200 0.0305 912
300 0.0457 1370
400 0.0610 1820
500 0.0762 2280
600 0.0914 2740
700 0.107 3190
800 0.122 3650
900 0.137 4100
1000 0.152 4560
2000 0.305 9120
3000 0.457 1.37 × 104
4000 0.610 1.82 × 104
5000 0.762 2.28 × 104
6000 0.914 2.74 × 104
7000 1.07 3.19 × 104
8000 1.22 3.65 × 104
9000 1.37 4.10 × 104
1.00 × 104 1.52 4.56 × 104
2.00 × 104 3.05 9.12 × 104
3.00 × 104 4.57 1.37 × 105
4.00 × 104 6.10 1.82 × 105
5.00 × 104 7.62 2.28 × 105
6.00 × 104 9.14 2.74 × 105
6.51 × 104 9.93 2.97 × 105
Steel I Beam: W14 × 159 (Wide Flange 14 inch tall × 159 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
159 0.0766 1290
200 0.0963 1620
300 0.144 2430
400 0.193 3240
500 0.241 4050
600 0.289 4860
700 0.337 5670
800 0.385 6480
900 0.433 7300
1000 0.482 8110
2000 0.963 1.62 × 104
3000 1.44 2.43 × 104
4000 1.93 3.24 × 104
5000 2.41 4.05 × 104
6000 2.89 4.86 × 104
7000 3.37 5.67 × 104
8000 3.85 6.48 × 104
9000 4.33 7.30 × 104
1.00 × 104 4.82 8.11 × 104
2.00 × 104 9.63 1.62 × 105
3.00 × 104 14.4 2.43 × 105
3.66 × 104 17.6 2.97 × 105
Steel I Beam: W14 × 159 (Wide Flange 14 inch tall × 159 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
159 0.187 2010
200 0.235 2530
300 0.353 3800
400 0.470 5070
500 0.588 6330
600 0.705 7600
700 0.823 8870
800 0.941 1.01 × 104
900 1.06 1.14 × 104
1000 1.18 1.27 × 104
2000 2.35 2.53 × 104
3000 3.53 3.80 × 104
4000 4.70 5.07 × 104
5000 5.88 6.33 × 104
6000 7.05 7.60 × 104
7000 8.23 8.87 × 104
8000 9.41 1.01 × 105
9000 10.6 1.14 × 105
1.00 × 104 11.8 1.27 × 105
1.27 × 104 15.0 1.61 × 105
Steel I Beam: W14 × 159 (Wide Flange 14 inch tall × 159 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
159 0.388 2900
200 0.488 3650
300 0.731 5470
400 0.975 7300
500 1.22 9120
600 1.46 1.09 × 104
700 1.71 1.28 × 104
800 1.95 1.46 × 104
900 2.19 1.64 × 104
1000 2.44 1.82 × 104
2000 4.88 3.65 × 104
3000 7.31 5.47 × 104
4000 9.75 7.30 × 104
5000 12.2 9.12 × 104
6000 14.6 1.09 × 105
6140 15.0 1.12 × 105
Steel I Beam: W14 × 159 (Wide Flange 14 inch tall × 159 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
159 0.718 3950
200 0.903 4970
300 1.36 7450
400 1.81 9930
500 2.26 1.24 × 104
600 2.71 1.49 × 104
700 3.16 1.74 × 104
800 3.61 1.99 × 104
900 4.07 2.23 × 104
1000 4.52 2.48 × 104
2000 9.03 4.97 × 104
3000 13.6 7.45 × 104
3320 15.0 8.23 × 104
Steel I Beam: W14 × 159 (Wide Flange 14 inch tall × 159 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
159 1.23 5160
200 1.54 6480
300 2.31 9730
400 3.08 1.30 × 104
500 3.85 1.62 × 104
600 4.62 1.95 × 104
700 5.39 2.27 × 104
800 6.16 2.59 × 104
900 6.93 2.92 × 104
1000 7.71 3.24 × 104
1940 15.0 6.30 × 104
Steel I Beam: W14 × 159 (Wide Flange 14 inch tall × 159 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
159 1.96 6530
200 2.47 8210
300 3.70 1.23 × 104
400 4.94 1.64 × 104
500 6.17 2.05 × 104
600 7.41 2.46 × 104
700 8.64 2.87 × 104
800 9.87 3.28 × 104
900 11.1 3.69 × 104
1000 12.3 4.10 × 104
1210 15.0 4.98 × 104
Steel I Beam: W14 × 159 (Wide Flange 14 inch tall × 159 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
159 2.99 8060
200 3.76 1.01 × 104
300 5.64 1.52 × 104
400 7.52 2.03 × 104
500 9.41 2.53 × 104
600 11.3 3.04 × 104
700 13.2 3.55 × 104
796 15.0 4.03 × 104
Steel I Beam: W14 × 159 (Wide Flange 14 inch tall × 159 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
159 7.30 1.26 × 104
200 9.19 1.58 × 104
300 13.8 2.37 × 104
326 15.0 2.58 × 104
Additional Information
Related Pages
FREE Publications
3D Scanners

A white paper to assist in the evaluation of 3D scanning hardware solutions.

Mechanical Engineers Outlook

Guide for those interested in becoming a mechanical engineer. Includes qualifications, pay, and job duties.

Metal 3D Printing Design Guide

Direct Metal Laser Sintering (DMLS) 3D printing for parts with reduced cost and little waste.

CNC Machining Design Guide

Optimize your designs, reduce machining time, and lower your costs.

more publications