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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W12 × 19
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 = 130 in4) for the W12 × 19 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
  
Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 4.23 × 10-6 10.3
20.0 4.45 × 10-6 10.8
30.0 6.68 × 10-6 16.2
40.0 8.91 × 10-6 21.6
50.0 1.11 × 10-5 27.0
60.0 1.34 × 10-5 32.5
70.0 1.56 × 10-5 37.9
80.0 1.78 × 10-5 43.3
90.0 2.00 × 10-5 48.7
100 2.23 × 10-5 54.1
200 4.45 × 10-5 108
300 6.68 × 10-5 162
400 8.91 × 10-5 216
500 1.11 × 10-4 270
600 1.34 × 10-4 325
700 1.56 × 10-4 379
800 1.78 × 10-4 433
900 2.00 × 10-4 487
1000 2.23 × 10-4 541
2000 4.45 × 10-4 1080
3000 6.68 × 10-4 1620
4000 8.91 × 10-4 2160
5000 0.00111 2700
6000 0.00134 3250
7000 0.00156 3790
8000 0.00178 4330
9000 0.00200 4870
1.00 × 104 0.00223 5410
2.00 × 104 0.00445 1.08 × 104
3.00 × 104 0.00668 1.62 × 104
4.00 × 104 0.00891 2.16 × 104
5.00 × 104 0.0111 2.70 × 104
6.00 × 104 0.0134 3.25 × 104
7.00 × 104 0.0156 3.79 × 104
8.00 × 104 0.0178 4.33 × 104
9.00 × 104 0.0200 4.87 × 104
1.00 × 105 0.0223 5.41 × 104
2.00 × 105 0.0445 1.08 × 105
3.00 × 105 0.0668 1.62 × 105
4.00 × 105 0.0891 2.16 × 105
5.00 × 105 0.111 2.70 × 105
5.49 × 105 0.122 2.97 × 105
Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 3.26 × 10-5 28.6
20.0 3.44 × 10-5 30.1
30.0 5.16 × 10-5 45.1
40.0 6.87 × 10-5 60.1
50.0 8.59 × 10-5 75.1
60.0 1.03 × 10-4 90.2
70.0 1.20 × 10-4 105
80.0 1.37 × 10-4 120
90.0 1.55 × 10-4 135
100 1.72 × 10-4 150
200 3.44 × 10-4 301
300 5.16 × 10-4 451
400 6.87 × 10-4 601
500 8.59 × 10-4 751
600 0.00103 902
700 0.00120 1050
800 0.00137 1200
900 0.00155 1350
1000 0.00172 1500
2000 0.00344 3010
3000 0.00516 4510
4000 0.00687 6010
5000 0.00859 7510
6000 0.0103 9020
7000 0.0120 1.05 × 104
8000 0.0137 1.20 × 104
9000 0.0155 1.35 × 104
1.00 × 104 0.0172 1.50 × 104
2.00 × 104 0.0344 3.01 × 104
3.00 × 104 0.0516 4.51 × 104
4.00 × 104 0.0687 6.01 × 104
5.00 × 104 0.0859 7.51 × 104
6.00 × 104 0.103 9.02 × 104
7.00 × 104 0.120 1.05 × 105
8.00 × 104 0.137 1.20 × 105
9.00 × 104 0.155 1.35 × 105
1.00 × 105 0.172 1.50 × 105
1.98 × 105 0.340 2.97 × 105
Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 5.22 × 10-4 114
20.0 5.50 × 10-4 120
30.0 8.25 × 10-4 180
40.0 0.00110 240
50.0 0.00137 301
60.0 0.00165 361
70.0 0.00192 421
80.0 0.00220 481
90.0 0.00247 541
100 0.00275 601
200 0.00550 1200
300 0.00825 1800
400 0.0110 2400
500 0.0137 3010
600 0.0165 3610
700 0.0192 4210
800 0.0220 4810
900 0.0247 5410
1000 0.0275 6010
2000 0.0550 1.20 × 104
3000 0.0825 1.80 × 104
4000 0.110 2.40 × 104
5000 0.137 3.01 × 104
6000 0.165 3.61 × 104
7000 0.192 4.21 × 104
8000 0.220 4.81 × 104
9000 0.247 5.41 × 104
1.00 × 104 0.275 6.01 × 104
2.00 × 104 0.550 1.20 × 105
3.00 × 104 0.825 1.80 × 105
4.00 × 104 1.10 2.40 × 105
4.94 × 104 1.36 2.97 × 105
Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.00264 257
20.0 0.00278 270
30.0 0.00418 406
40.0 0.00557 541
50.0 0.00696 676
60.0 0.00835 811
70.0 0.00974 947
80.0 0.0111 1080
90.0 0.0125 1220
100 0.0139 1350
200 0.0278 2700
300 0.0418 4060
400 0.0557 5410
500 0.0696 6760
600 0.0835 8110
700 0.0974 9470
800 0.111 1.08 × 104
900 0.125 1.22 × 104
1000 0.139 1.35 × 104
2000 0.278 2.70 × 104
3000 0.418 4.06 × 104
4000 0.557 5.41 × 104
5000 0.696 6.76 × 104
6000 0.835 8.11 × 104
7000 0.974 9.47 × 104
8000 1.11 1.08 × 105
9000 1.25 1.22 × 105
1.00 × 104 1.39 1.35 × 105
2.00 × 104 2.78 2.70 × 105
2.20 × 104 3.06 2.97 × 105
Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.00836 457
20.0 0.00880 481
30.0 0.0132 721
40.0 0.0176 962
50.0 0.0220 1200
60.0 0.0264 1440
70.0 0.0308 1680
80.0 0.0352 1920
90.0 0.0396 2160
100 0.0440 2400
200 0.0880 4810
300 0.132 7210
400 0.176 9620
500 0.220 1.20 × 104
600 0.264 1.44 × 104
700 0.308 1.68 × 104
800 0.352 1.92 × 104
900 0.396 2.16 × 104
1000 0.440 2.40 × 104
2000 0.880 4.81 × 104
3000 1.32 7.21 × 104
4000 1.76 9.62 × 104
5000 2.20 1.20 × 105
6000 2.64 1.44 × 105
7000 3.08 1.68 × 105
8000 3.52 1.92 × 105
9000 3.96 2.16 × 105
1.00 × 104 4.40 2.40 × 105
1.24 × 104 5.43 2.97 × 105
Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.0204 714
20.0 0.0215 751
30.0 0.0322 1130
40.0 0.0430 1500
50.0 0.0537 1880
60.0 0.0644 2250
70.0 0.0752 2630
80.0 0.0859 3010
90.0 0.0967 3380
100 0.107 3760
200 0.215 7510
300 0.322 1.13 × 104
400 0.430 1.50 × 104
500 0.537 1.88 × 104
600 0.644 2.25 × 104
700 0.752 2.63 × 104
800 0.859 3.01 × 104
900 0.967 3.38 × 104
1000 1.07 3.76 × 104
2000 2.15 7.51 × 104
3000 3.22 1.13 × 105
4000 4.30 1.50 × 105
5000 5.37 1.88 × 105
6000 6.44 2.25 × 105
7000 7.52 2.63 × 105
7910 8.49 2.97 × 105
Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.0423 1030
20.0 0.0445 1080
30.0 0.0668 1620
40.0 0.0891 2160
50.0 0.111 2700
60.0 0.134 3250
70.0 0.156 3790
80.0 0.178 4330
90.0 0.200 4870
100 0.223 5410
200 0.445 1.08 × 104
300 0.668 1.62 × 104
400 0.891 2.16 × 104
500 1.11 2.70 × 104
600 1.34 3.25 × 104
700 1.56 3.79 × 104
800 1.78 4.33 × 104
900 2.00 4.87 × 104
1000 2.23 5.41 × 104
2000 4.45 1.08 × 105
3000 6.68 1.62 × 105
4000 8.91 2.16 × 105
5000 11.1 2.70 × 105
5490 12.2 2.97 × 105
Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.134 1830
20.0 0.141 1920
30.0 0.211 2890
40.0 0.282 3850
50.0 0.352 4810
60.0 0.422 5770
70.0 0.493 6730
80.0 0.563 7690
90.0 0.633 8660
100 0.704 9620
200 1.41 1.92 × 104
300 2.11 2.89 × 104
400 2.82 3.85 × 104
500 3.52 4.81 × 104
600 4.22 5.77 × 104
700 4.93 6.73 × 104
800 5.63 7.69 × 104
900 6.33 8.66 × 104
1000 7.04 9.62 × 104
1730 12.2 1.66 × 105
Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.326 2860
20.0 0.344 3010
30.0 0.516 4510
40.0 0.687 6010
50.0 0.859 7510
60.0 1.03 9020
70.0 1.20 1.05 × 104
80.0 1.37 1.20 × 104
90.0 1.55 1.35 × 104
100 1.72 1.50 × 104
200 3.44 3.01 × 104
300 5.16 4.51 × 104
400 6.87 6.01 × 104
500 8.59 7.51 × 104
600 10.3 9.02 × 104
700 12.0 1.05 × 105
708 12.2 1.06 × 105
Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.677 4110
20.0 0.713 4330
30.0 1.07 6490
40.0 1.43 8660
50.0 1.78 1.08 × 104
60.0 2.14 1.30 × 104
70.0 2.49 1.51 × 104
80.0 2.85 1.73 × 104
90.0 3.21 1.95 × 104
100 3.56 2.16 × 104
200 7.13 4.33 × 104
300 10.7 6.49 × 104
341 12.2 7.38 × 104
Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 1.25 5600
20.0 1.32 5890
30.0 1.98 8840
40.0 2.64 1.18 × 104
50.0 3.30 1.47 × 104
60.0 3.96 1.77 × 104
70.0 4.62 2.06 × 104
80.0 5.28 2.36 × 104
90.0 5.94 2.65 × 104
100 6.60 2.95 × 104
184 12.2 5.43 × 104
Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 2.14 7310
20.0 2.25 7690
30.0 3.38 1.15 × 104
40.0 4.50 1.54 × 104
50.0 5.63 1.92 × 104
60.0 6.76 2.31 × 104
70.0 7.88 2.69 × 104
80.0 9.01 3.08 × 104
90.0 10.1 3.46 × 104
100 11.3 3.85 × 104
108 12.2 4.15 × 104
Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 3.43 9250
20.0 3.61 9740
30.0 5.41 1.46 × 104
40.0 7.22 1.95 × 104
50.0 9.02 2.43 × 104
60.0 10.8 2.92 × 104
67.4 12.2 3.28 × 104
Steel I Beam: W12 × 19 (Wide Flange 12 inch tall × 19 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 5.22 1.14 × 104
20.0 5.50 1.20 × 104
30.0 8.25 1.80 × 104
40.0 11.0 2.40 × 104
44.2 12.2 2.66 × 104
Additional Information
Related Pages
Essentials of Manufacturing

Information, coverage of important developments and expert commentary in manufacturing.

Mechanical Engineers Outlook

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

Salary Expectation

8 things to know about the interview question "What's your salary expectation"?

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