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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Two Equal Spans » Wide Flange Steel I Beam » W5 × 19
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 = 26.2 in4) for the W5 × 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
   
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 1.74 × 10-5 25.2
20.0 1.83 × 10-5 26.5
30.0 2.74 × 10-5 39.8
40.0 3.65 × 10-5 53.1
50.0 4.57 × 10-5 66.3
60.0 5.48 × 10-5 79.6
70.0 6.39 × 10-5 92.9
80.0 7.31 × 10-5 106
90.0 8.22 × 10-5 119
100 9.14 × 10-5 133
200 1.83 × 10-4 265
300 2.74 × 10-4 398
400 3.65 × 10-4 531
500 4.57 × 10-4 663
600 5.48 × 10-4 796
700 6.39 × 10-4 929
800 7.31 × 10-4 1060
900 8.22 × 10-4 1190
1000 9.14 × 10-4 1330
2000 0.00183 2650
3000 0.00274 3980
4000 0.00365 5310
5000 0.00457 6630
6000 0.00548 7960
7000 0.00639 9290
8000 0.00731 1.06 × 104
9000 0.00822 1.19 × 104
1.00 × 104 0.00914 1.33 × 104
2.00 × 104 0.0183 2.65 × 104
3.00 × 104 0.0274 3.98 × 104
4.00 × 104 0.0365 5.31 × 104
5.00 × 104 0.0457 6.63 × 104
6.00 × 104 0.0548 7.96 × 104
7.00 × 104 0.0639 9.29 × 104
8.00 × 104 0.0731 1.06 × 105
9.00 × 104 0.0822 1.19 × 105
1.00 × 105 0.0914 1.33 × 105
2.00 × 105 0.183 2.65 × 105
2.24 × 105 0.205 2.97 × 105
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 1.34 × 10-4 70.0
20.0 1.41 × 10-4 73.7
30.0 2.11 × 10-4 111
40.0 2.82 × 10-4 147
50.0 3.52 × 10-4 184
60.0 4.23 × 10-4 221
70.0 4.93 × 10-4 258
80.0 5.64 × 10-4 295
90.0 6.34 × 10-4 332
100 7.05 × 10-4 369
200 0.00141 737
300 0.00211 1110
400 0.00282 1470
500 0.00352 1840
600 0.00423 2210
700 0.00493 2580
800 0.00564 2950
900 0.00634 3320
1000 0.00705 3690
2000 0.0141 7370
3000 0.0211 1.11 × 104
4000 0.0282 1.47 × 104
5000 0.0352 1.84 × 104
6000 0.0423 2.21 × 104
7000 0.0493 2.58 × 104
8000 0.0564 2.95 × 104
9000 0.0634 3.32 × 104
1.00 × 104 0.0705 3.69 × 104
2.00 × 104 0.141 7.37 × 104
3.00 × 104 0.211 1.11 × 105
4.00 × 104 0.282 1.47 × 105
5.00 × 104 0.352 1.84 × 105
6.00 × 104 0.423 2.21 × 105
7.00 × 104 0.493 2.58 × 105
8.00 × 104 0.564 2.95 × 105
8.06 × 104 0.568 2.97 × 105
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.00214 280
20.0 0.00226 295
30.0 0.00338 442
40.0 0.00451 590
50.0 0.00564 737
60.0 0.00677 885
70.0 0.00789 1030
80.0 0.00902 1180
90.0 0.0102 1330
100 0.0113 1470
200 0.0226 2950
300 0.0338 4420
400 0.0451 5900
500 0.0564 7370
600 0.0677 8850
700 0.0789 1.03 × 104
800 0.0902 1.18 × 104
900 0.102 1.33 × 104
1000 0.113 1.47 × 104
2000 0.226 2.95 × 104
3000 0.338 4.42 × 104
4000 0.451 5.90 × 104
5000 0.564 7.37 × 104
6000 0.677 8.85 × 104
7000 0.789 1.03 × 105
8000 0.902 1.18 × 105
9000 1.02 1.33 × 105
1.00 × 104 1.13 1.47 × 105
2.00 × 104 2.26 2.95 × 105
2.01 × 104 2.27 2.97 × 105
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.0108 630
20.0 0.0114 663
30.0 0.0171 995
40.0 0.0228 1330
50.0 0.0285 1660
60.0 0.0343 1990
70.0 0.0400 2320
80.0 0.0457 2650
90.0 0.0514 2990
100 0.0571 3320
200 0.114 6630
300 0.171 9950
400 0.228 1.33 × 104
500 0.285 1.66 × 104
600 0.343 1.99 × 104
700 0.400 2.32 × 104
800 0.457 2.65 × 104
900 0.514 2.99 × 104
1000 0.571 3.32 × 104
2000 1.14 6.63 × 104
3000 1.71 9.95 × 104
4000 2.28 1.33 × 105
5000 2.85 1.66 × 105
6000 3.43 1.99 × 105
7000 4.00 2.32 × 105
8000 4.57 2.65 × 105
8950 5.11 2.97 × 105
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.0343 1120
20.0 0.0361 1180
30.0 0.0541 1770
40.0 0.0722 2360
50.0 0.0902 2950
60.0 0.108 3540
70.0 0.126 4130
80.0 0.144 4720
90.0 0.162 5310
100 0.180 5900
200 0.361 1.18 × 104
300 0.541 1.77 × 104
400 0.722 2.36 × 104
500 0.902 2.95 × 104
600 1.08 3.54 × 104
700 1.26 4.13 × 104
800 1.44 4.72 × 104
900 1.62 5.31 × 104
1000 1.80 5.90 × 104
2000 3.61 1.18 × 105
2850 5.15 1.68 × 105
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.0837 1750
20.0 0.0881 1840
30.0 0.132 2760
40.0 0.176 3690
50.0 0.220 4610
60.0 0.264 5530
70.0 0.308 6450
80.0 0.352 7370
90.0 0.396 8290
100 0.441 9210
200 0.881 1.84 × 104
300 1.32 2.76 × 104
400 1.76 3.69 × 104
500 2.20 4.61 × 104
600 2.64 5.53 × 104
700 3.08 6.45 × 104
800 3.52 7.37 × 104
900 3.96 8.29 × 104
1000 4.41 9.21 × 104
1170 5.15 1.08 × 105
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.174 2520
20.0 0.183 2650
30.0 0.274 3980
40.0 0.365 5310
50.0 0.457 6630
60.0 0.548 7960
70.0 0.639 9290
80.0 0.731 1.06 × 104
90.0 0.822 1.19 × 104
100 0.914 1.33 × 104
200 1.83 2.65 × 104
300 2.74 3.98 × 104
400 3.65 5.31 × 104
500 4.57 6.63 × 104
564 5.15 7.48 × 104
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 0.549 4480
20.0 0.577 4720
30.0 0.866 7080
40.0 1.15 9440
50.0 1.44 1.18 × 104
60.0 1.73 1.42 × 104
70.0 2.02 1.65 × 104
80.0 2.31 1.89 × 104
90.0 2.60 2.12 × 104
100 2.89 2.36 × 104
178 5.15 4.21 × 104
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 1.34 7000
20.0 1.41 7370
30.0 2.11 1.11 × 104
40.0 2.82 1.47 × 104
50.0 3.52 1.84 × 104
60.0 4.23 2.21 × 104
70.0 4.93 2.58 × 104
73.1 5.15 2.69 × 104
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 2.78 1.01 × 104
20.0 2.92 1.06 × 104
30.0 4.38 1.59 × 104
35.2 5.15 1.87 × 104
Steel I Beam: W5 × 19 (Wide Flange 5 inch tall × 19 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
19.0 5.15 1.37 × 104
19.0 5.15 1.37 × 104
Additional Information
Related Pages
FREE Publications
Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

Mechanical Engineers Outlook

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

Injection Molding Design Guide

Guide for high quality and cost-effective plastic injection molding.

Essentials of Manufacturing

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

more publications