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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » Wide Flange Steel I Beam » W4 × 13

For a simply supported beam in a single span, the maximum displacement and the maximum normal stress occur at the center 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 6.88 × 10-5 32.3 20.0 1.06 × 10-4 49.7 30.0 1.59 × 10-4 74.5 40.0 2.12 × 10-4 99.4 50.0 2.65 × 10-4 124 60.0 3.18 × 10-4 149 70.0 3.71 × 10-4 174 80.0 4.24 × 10-4 199 90.0 4.77 × 10-4 224 100 5.30 × 10-4 248 200 0.00106 497 300 0.00159 745 400 0.00212 994 500 0.00265 1240 600 0.00318 1490 700 0.00371 1740 800 0.00424 1990 900 0.00477 2240 1000 0.00530 2480 2000 0.0106 4970 3000 0.0159 7450 4000 0.0212 9940 5000 0.0265 1.24 × 104 6000 0.0318 1.49 × 104 7000 0.0371 1.74 × 104 8000 0.0424 1.99 × 104 9000 0.0477 2.24 × 104 1.00 × 104 0.0530 2.48 × 104 2.00 × 104 0.106 4.97 × 104 3.00 × 104 0.159 7.45 × 104 4.00 × 104 0.212 9.94 × 104 5.00 × 104 0.265 1.24 × 105 6.00 × 104 0.318 1.49 × 105 7.00 × 104 0.371 1.74 × 105 8.00 × 104 0.424 1.99 × 105 9.00 × 104 0.477 2.24 × 105 1.00 × 105 0.530 2.48 × 105 1.20 × 105 0.633 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 5.31 × 10-4 89.7 20.0 8.17 × 10-4 138 30.0 0.00123 207 40.0 0.00163 276 50.0 0.00204 345 60.0 0.00245 414 70.0 0.00286 483 80.0 0.00327 552 90.0 0.00368 621 100 0.00409 690 200 0.00817 1380 300 0.0123 2070 400 0.0163 2760 500 0.0204 3450 600 0.0245 4140 700 0.0286 4830 800 0.0327 5520 900 0.0368 6210 1000 0.0409 6900 2000 0.0817 1.38 × 104 3000 0.123 2.07 × 104 4000 0.163 2.76 × 104 5000 0.204 3.45 × 104 6000 0.245 4.14 × 104 7000 0.286 4.83 × 104 8000 0.327 5.52 × 104 9000 0.368 6.21 × 104 1.00 × 104 0.409 6.90 × 104 2.00 × 104 0.817 1.38 × 105 3.00 × 104 1.23 2.07 × 105 4.00 × 104 1.63 2.76 × 105 4.30 × 104 1.76 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 0.00850 359 20.0 0.0131 552 30.0 0.0196 828 40.0 0.0261 1100 50.0 0.0327 1380 60.0 0.0392 1660 70.0 0.0458 1930 80.0 0.0523 2210 90.0 0.0588 2480 100 0.0654 2760 200 0.131 5520 300 0.196 8280 400 0.261 1.10 × 104 500 0.327 1.38 × 104 600 0.392 1.66 × 104 700 0.458 1.93 × 104 800 0.523 2.21 × 104 900 0.588 2.48 × 104 1000 0.654 2.76 × 104 2000 1.31 5.52 × 104 3000 1.96 8.28 × 104 4000 2.61 1.10 × 105 5000 3.27 1.38 × 105 6000 3.92 1.66 × 105 6360 4.16 1.76 × 105
 Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 13.0 0.0430 808 20.0 0.0662 1240 30.0 0.0993 1860 40.0 0.132 2480 50.0 0.165 3110 60.0 0.199 3730 70.0 0.232 4350 80.0 0.265 4970 90.0 0.298 5590 100 0.331 6210 200 0.662 1.24 × 104 300 0.993 1.86 × 104 400 1.32 2.48 × 104 500 1.65 3.11 × 104 600 1.99 3.73 × 104 700 2.32 4.35 × 104 800 2.65 4.97 × 104 900 2.98 5.59 × 104 1000 3.31 6.21 × 104 1260 4.16 7.81 × 104
 Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 13.0 0.136 1440 20.0 0.209 2210 30.0 0.314 3310 40.0 0.418 4420 50.0 0.523 5520 60.0 0.628 6630 70.0 0.732 7730 80.0 0.837 8840 90.0 0.941 9940 100 1.05 1.10 × 104 200 2.09 2.21 × 104 300 3.14 3.31 × 104 398 4.16 4.39 × 104
 Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 13.0 0.332 2240 20.0 0.511 3450 30.0 0.766 5180 40.0 1.02 6900 50.0 1.28 8630 60.0 1.53 1.04 × 104 70.0 1.79 1.21 × 104 80.0 2.04 1.38 × 104 90.0 2.30 1.55 × 104 100 2.55 1.73 × 104 163 4.16 2.81 × 104
 Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 13.0 0.688 3230 20.0 1.06 4970 30.0 1.59 7450 40.0 2.12 9940 50.0 2.65 1.24 × 104 60.0 3.18 1.49 × 104 70.0 3.71 1.74 × 104 78.6 4.16 1.95 × 104
 Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 13.0 2.18 5740 20.0 3.35 8840 24.9 4.16 1.10 × 104