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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W4 × 13
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 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 = 11.3 in4) for the W4 × 13 Wide Flange Steel I Beam and the typical Young's modulus (E = 3.046 × 107 psi) of steels. Note that the typical yielding stress 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.

 Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 13.0 3.33 × 10-5 27.7 20.0 5.12 × 10-5 42.6 30.0 7.69 × 10-5 63.9 40.0 1.02 × 10-4 85.2 50.0 1.28 × 10-4 106 60.0 1.54 × 10-4 128 70.0 1.79 × 10-4 149 80.0 2.05 × 10-4 170 90.0 2.31 × 10-4 192 100 2.56 × 10-4 213 200 5.12 × 10-4 426 300 7.69 × 10-4 639 400 0.00102 852 500 0.00128 1060 600 0.00154 1280 700 0.00179 1490 800 0.00205 1700 900 0.00231 1920 1000 0.00256 2130 2000 0.00512 4260 3000 0.00769 6390 4000 0.0102 8520 5000 0.0128 1.06 × 104 6000 0.0154 1.28 × 104 7000 0.0179 1.49 × 104 8000 0.0205 1.70 × 104 9000 0.0231 1.92 × 104 1.00 × 104 0.0256 2.13 × 104 2.00 × 104 0.0512 4.26 × 104 3.00 × 104 0.0769 6.39 × 104 4.00 × 104 0.102 8.52 × 104 5.00 × 104 0.128 1.06 × 105 6.00 × 104 0.154 1.28 × 105 7.00 × 104 0.179 1.49 × 105 8.00 × 104 0.205 1.70 × 105 9.00 × 104 0.231 1.92 × 105 1.00 × 105 0.256 2.13 × 105 1.40 × 105 0.357 2.97 × 105
 Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 13.0 2.57 × 10-4 76.9 20.0 3.95 × 10-4 118 30.0 5.93 × 10-4 177 40.0 7.91 × 10-4 237 50.0 9.88 × 10-4 296 60.0 0.00119 355 70.0 0.00138 414 80.0 0.00158 473 90.0 0.00178 532 100 0.00198 591 200 0.00395 1180 300 0.00593 1770 400 0.00791 2370 500 0.00988 2960 600 0.0119 3550 700 0.0138 4140 800 0.0158 4730 900 0.0178 5320 1000 0.0198 5910 2000 0.0395 1.18 × 104 3000 0.0593 1.77 × 104 4000 0.0791 2.37 × 104 5000 0.0988 2.96 × 104 6000 0.119 3.55 × 104 7000 0.138 4.14 × 104 8000 0.158 4.73 × 104 9000 0.178 5.32 × 104 1.00 × 104 0.198 5.91 × 104 2.00 × 104 0.395 1.18 × 105 3.00 × 104 0.593 1.77 × 105 4.00 × 104 0.791 2.37 × 105 5.00 × 104 0.988 2.96 × 105 5.02 × 104 0.993 2.97 × 105
 Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 13.0 0.00411 308 20.0 0.00633 473 30.0 0.00949 710 40.0 0.0127 946 50.0 0.0158 1180 60.0 0.0190 1420 70.0 0.0221 1660 80.0 0.0253 1890 90.0 0.0285 2130 100 0.0316 2370 200 0.0633 4730 300 0.0949 7100 400 0.127 9460 500 0.158 1.18 × 104 600 0.190 1.42 × 104 700 0.221 1.66 × 104 800 0.253 1.89 × 104 900 0.285 2.13 × 104 1000 0.316 2.37 × 104 2000 0.633 4.73 × 104 3000 0.949 7.10 × 104 4000 1.27 9.46 × 104 5000 1.58 1.18 × 105 6000 1.90 1.42 × 105 7000 2.21 1.66 × 105 8000 2.53 1.89 × 105 9000 2.85 2.13 × 105 1.00 × 104 3.16 2.37 × 105 1.26 × 104 3.97 2.97 × 105
 Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 13.0 0.0208 692 20.0 0.0320 1060 30.0 0.0480 1600 40.0 0.0641 2130 50.0 0.0801 2660 60.0 0.0961 3190 70.0 0.112 3730 80.0 0.128 4260 90.0 0.144 4790 100 0.160 5320 200 0.320 1.06 × 104 300 0.480 1.60 × 104 400 0.641 2.13 × 104 500 0.801 2.66 × 104 600 0.961 3.19 × 104 700 1.12 3.73 × 104 800 1.28 4.26 × 104 900 1.44 4.79 × 104 1000 1.60 5.32 × 104 2000 3.20 1.06 × 105 2600 4.16 1.38 × 105
 Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 13.0 0.0658 1230 20.0 0.101 1890 30.0 0.152 2840 40.0 0.202 3790 50.0 0.253 4730 60.0 0.304 5680 70.0 0.354 6620 80.0 0.405 7570 90.0 0.455 8520 100 0.506 9460 200 1.01 1.89 × 104 300 1.52 2.84 × 104 400 2.02 3.79 × 104 500 2.53 4.73 × 104 600 3.04 5.68 × 104 700 3.54 6.62 × 104 800 4.05 7.57 × 104 822 4.16 7.78 × 104
 Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 13.0 0.161 1920 20.0 0.247 2960 30.0 0.371 4440 40.0 0.494 5910 50.0 0.618 7390 60.0 0.741 8870 70.0 0.865 1.03 × 104 80.0 0.988 1.18 × 104 90.0 1.11 1.33 × 104 100 1.24 1.48 × 104 200 2.47 2.96 × 104 300 3.71 4.44 × 104 337 4.16 4.98 × 104
 Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 13.0 0.333 2770 20.0 0.512 4260 30.0 0.769 6390 40.0 1.02 8520 50.0 1.28 1.06 × 104 60.0 1.54 1.28 × 104 70.0 1.79 1.49 × 104 80.0 2.05 1.70 × 104 90.0 2.31 1.92 × 104 100 2.56 2.13 × 104 162 4.16 3.46 × 104
 Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 13.0 1.05 4920 20.0 1.62 7570 30.0 2.43 1.14 × 104 40.0 3.24 1.51 × 104 50.0 4.05 1.89 × 104 51.4 4.16 1.94 × 104
 Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 13.0 2.57 7690 20.0 3.95 1.18 × 104 21.0 4.16 1.24 × 104