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Wide Flange Steel I Beam: W12 × 19
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 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 = 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 4.57 × 10-6 9.60
20.0 4.81 × 10-6 10.1
30.0 7.21 × 10-6 15.2
40.0 9.62 × 10-6 20.2
50.0 1.20 × 10-5 25.3
60.0 1.44 × 10-5 30.3
70.0 1.68 × 10-5 35.4
80.0 1.92 × 10-5 40.4
90.0 2.16 × 10-5 45.5
100 2.40 × 10-5 50.5
200 4.81 × 10-5 101
300 7.21 × 10-5 152
400 9.62 × 10-5 202
500 1.20 × 10-4 253
600 1.44 × 10-4 303
700 1.68 × 10-4 354
800 1.92 × 10-4 404
900 2.16 × 10-4 455
1000 2.40 × 10-4 505
2000 4.81 × 10-4 1010
3000 7.21 × 10-4 1520
4000 9.62 × 10-4 2020
5000 0.00120 2530
6000 0.00144 3030
7000 0.00168 3540
8000 0.00192 4040
9000 0.00216 4550
1.00 × 104 0.00240 5050
2.00 × 104 0.00481 1.01 × 104
3.00 × 104 0.00721 1.52 × 104
4.00 × 104 0.00962 2.02 × 104
5.00 × 104 0.0120 2.53 × 104
6.00 × 104 0.0144 3.03 × 104
7.00 × 104 0.0168 3.54 × 104
8.00 × 104 0.0192 4.04 × 104
9.00 × 104 0.0216 4.55 × 104
1.00 × 105 0.0240 5.05 × 104
2.00 × 105 0.0481 1.01 × 105
3.00 × 105 0.0721 1.52 × 105
4.00 × 105 0.0962 2.02 × 105
5.00 × 105 0.120 2.53 × 105
5.88 × 105 0.141 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 3.52 × 10-5 26.7
20.0 3.71 × 10-5 28.1
30.0 5.56 × 10-5 42.1
40.0 7.42 × 10-5 56.1
50.0 9.27 × 10-5 70.2
60.0 1.11 × 10-4 84.2
70.0 1.30 × 10-4 98.2
80.0 1.48 × 10-4 112
90.0 1.67 × 10-4 126
100 1.85 × 10-4 140
200 3.71 × 10-4 281
300 5.56 × 10-4 421
400 7.42 × 10-4 561
500 9.27 × 10-4 702
600 0.00111 842
700 0.00130 982
800 0.00148 1120
900 0.00167 1260
1000 0.00185 1400
2000 0.00371 2810
3000 0.00556 4210
4000 0.00742 5610
5000 0.00927 7020
6000 0.0111 8420
7000 0.0130 9820
8000 0.0148 1.12 × 104
9000 0.0167 1.26 × 104
1.00 × 104 0.0185 1.40 × 104
2.00 × 104 0.0371 2.81 × 104
3.00 × 104 0.0556 4.21 × 104
4.00 × 104 0.0742 5.61 × 104
5.00 × 104 0.0927 7.02 × 104
6.00 × 104 0.111 8.42 × 104
7.00 × 104 0.130 9.82 × 104
8.00 × 104 0.148 1.12 × 105
9.00 × 104 0.167 1.26 × 105
1.00 × 105 0.185 1.40 × 105
2.00 × 105 0.371 2.81 × 105
2.12 × 105 0.393 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 5.64 × 10-4 107
20.0 5.94 × 10-4 112
30.0 8.90 × 10-4 168
40.0 0.00119 224
50.0 0.00148 281
60.0 0.00178 337
70.0 0.00208 393
80.0 0.00237 449
90.0 0.00267 505
100 0.00297 561
200 0.00594 1120
300 0.00890 1680
400 0.0119 2240
500 0.0148 2810
600 0.0178 3370
700 0.0208 3930
800 0.0237 4490
900 0.0267 5050
1000 0.0297 5610
2000 0.0594 1.12 × 104
3000 0.0890 1.68 × 104
4000 0.119 2.24 × 104
5000 0.148 2.81 × 104
6000 0.178 3.37 × 104
7000 0.208 3.93 × 104
8000 0.237 4.49 × 104
9000 0.267 5.05 × 104
1.00 × 104 0.297 5.61 × 104
2.00 × 104 0.594 1.12 × 105
3.00 × 104 0.890 1.68 × 105
4.00 × 104 1.19 2.24 × 105
5.00 × 104 1.48 2.81 × 105
5.29 × 104 1.57 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 0.00285 240
20.0 0.00300 253
30.0 0.00451 379
40.0 0.00601 505
50.0 0.00751 631
60.0 0.00901 758
70.0 0.0105 884
80.0 0.0120 1010
90.0 0.0135 1140
100 0.0150 1260
200 0.0300 2530
300 0.0451 3790
400 0.0601 5050
500 0.0751 6310
600 0.0901 7580
700 0.105 8840
800 0.120 1.01 × 104
900 0.135 1.14 × 104
1000 0.150 1.26 × 104
2000 0.300 2.53 × 104
3000 0.451 3.79 × 104
4000 0.601 5.05 × 104
5000 0.751 6.31 × 104
6000 0.901 7.58 × 104
7000 1.05 8.84 × 104
8000 1.20 1.01 × 105
9000 1.35 1.14 × 105
1.00 × 104 1.50 1.26 × 105
2.00 × 104 3.00 2.53 × 105
2.35 × 104 3.53 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 0.00902 427
20.0 0.00950 449
30.0 0.0142 673
40.0 0.0190 898
50.0 0.0237 1120
60.0 0.0285 1350
70.0 0.0332 1570
80.0 0.0380 1800
90.0 0.0427 2020
100 0.0475 2240
200 0.0950 4490
300 0.142 6730
400 0.190 8980
500 0.237 1.12 × 104
600 0.285 1.35 × 104
700 0.332 1.57 × 104
800 0.380 1.80 × 104
900 0.427 2.02 × 104
1000 0.475 2.24 × 104
2000 0.950 4.49 × 104
3000 1.42 6.73 × 104
4000 1.90 8.98 × 104
5000 2.37 1.12 × 105
6000 2.85 1.35 × 105
7000 3.32 1.57 × 105
8000 3.80 1.80 × 105
9000 4.27 2.02 × 105
1.00 × 104 4.75 2.24 × 105
1.32 × 104 6.28 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 0.0220 666
20.0 0.0232 702
30.0 0.0348 1050
40.0 0.0464 1400
50.0 0.0580 1750
60.0 0.0696 2100
70.0 0.0811 2460
80.0 0.0927 2810
90.0 0.104 3160
100 0.116 3510
200 0.232 7020
300 0.348 1.05 × 104
400 0.464 1.40 × 104
500 0.580 1.75 × 104
600 0.696 2.10 × 104
700 0.811 2.46 × 104
800 0.927 2.81 × 104
900 1.04 3.16 × 104
1000 1.16 3.51 × 104
2000 2.32 7.02 × 104
3000 3.48 1.05 × 105
4000 4.64 1.40 × 105
5000 5.80 1.75 × 105
6000 6.96 2.10 × 105
7000 8.11 2.46 × 105
8000 9.27 2.81 × 105
8470 9.82 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 0.0457 960
20.0 0.0481 1010
30.0 0.0721 1520
40.0 0.0962 2020
50.0 0.120 2530
60.0 0.144 3030
70.0 0.168 3540
80.0 0.192 4040
90.0 0.216 4550
100 0.240 5050
200 0.481 1.01 × 104
300 0.721 1.52 × 104
400 0.962 2.02 × 104
500 1.20 2.53 × 104
600 1.44 3.03 × 104
700 1.68 3.54 × 104
800 1.92 4.04 × 104
900 2.16 4.55 × 104
1000 2.40 5.05 × 104
2000 4.81 1.01 × 105
3000 7.21 1.52 × 105
4000 9.62 2.02 × 105
5000 12.0 2.53 × 105
5880 14.1 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 0.144 1710
20.0 0.152 1800
30.0 0.228 2690
40.0 0.304 3590
50.0 0.380 4490
60.0 0.456 5390
70.0 0.532 6290
80.0 0.608 7180
90.0 0.684 8080
100 0.760 8980
200 1.52 1.80 × 104
300 2.28 2.69 × 104
400 3.04 3.59 × 104
500 3.80 4.49 × 104
600 4.56 5.39 × 104
700 5.32 6.29 × 104
800 6.08 7.18 × 104
900 6.84 8.08 × 104
1000 7.60 8.98 × 104
1600 12.2 1.44 × 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 0.352 2670
20.0 0.371 2810
30.0 0.556 4210
40.0 0.742 5610
50.0 0.927 7020
60.0 1.11 8420
70.0 1.30 9820
80.0 1.48 1.12 × 104
90.0 1.67 1.26 × 104
100 1.85 1.40 × 104
200 3.71 2.81 × 104
300 5.56 4.21 × 104
400 7.42 5.61 × 104
500 9.27 7.02 × 104
600 11.1 8.42 × 104
656 12.2 9.20 × 104
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 0.731 3840
20.0 0.769 4040
30.0 1.15 6060
40.0 1.54 8080
50.0 1.92 1.01 × 104
60.0 2.31 1.21 × 104
70.0 2.69 1.41 × 104
80.0 3.08 1.62 × 104
90.0 3.46 1.82 × 104
100 3.85 2.02 × 104
200 7.69 4.04 × 104
300 11.5 6.06 × 104
316 12.2 6.39 × 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 1.35 5230
20.0 1.43 5500
30.0 2.14 8250
40.0 2.85 1.10 × 104
50.0 3.56 1.38 × 104
60.0 4.28 1.65 × 104
70.0 4.99 1.93 × 104
80.0 5.70 2.20 × 104
90.0 6.41 2.48 × 104
100 7.13 2.75 × 104
171 12.2 4.69 × 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 2.31 6820
20.0 2.43 7180
30.0 3.65 1.08 × 104
40.0 4.86 1.44 × 104
50.0 6.08 1.80 × 104
60.0 7.29 2.16 × 104
70.0 8.51 2.51 × 104
80.0 9.72 2.87 × 104
90.0 10.9 3.23 × 104
100 12.2 3.59 × 104
100 12.2 3.59 × 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 3.70 8640
20.0 3.89 9090
30.0 5.84 1.36 × 104
40.0 7.79 1.82 × 104
50.0 9.74 2.27 × 104
60.0 11.7 2.73 × 104
62.5 12.2 2.84 × 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 5.64 1.07 × 104
20.0 5.94 1.12 × 104
30.0 8.90 1.68 × 104
40.0 11.9 2.24 × 104
41.0 12.2 2.30 × 104
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