Wide Flange Steel I Beam: W4 × 13

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three 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 three equal spans, we compute the displacement at the middle of the first and the third span and the maximum normal stress occuring at the second and third support 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 3.60 × 10-5 25.8 20.0 5.53 × 10-5 39.8 30.0 8.30 × 10-5 59.6 40.0 1.11 × 10-4 79.5 50.0 1.38 × 10-4 99.4 60.0 1.66 × 10-4 119 70.0 1.94 × 10-4 139 80.0 2.21 × 10-4 159 90.0 2.49 × 10-4 179 100 2.77 × 10-4 199 200 5.53 × 10-4 398 300 8.30 × 10-4 596 400 0.00111 795 500 0.00138 994 600 0.00166 1190 700 0.00194 1390 800 0.00221 1590 900 0.00249 1790 1000 0.00277 1990 2000 0.00553 3980 3000 0.00830 5960 4000 0.0111 7950 5000 0.0138 9940 6000 0.0166 1.19 × 104 7000 0.0194 1.39 × 104 8000 0.0221 1.59 × 104 9000 0.0249 1.79 × 104 1.00 × 104 0.0277 1.99 × 104 2.00 × 104 0.0553 3.98 × 104 3.00 × 104 0.0830 5.96 × 104 4.00 × 104 0.111 7.95 × 104 5.00 × 104 0.138 9.94 × 104 6.00 × 104 0.166 1.19 × 105 7.00 × 104 0.194 1.39 × 105 8.00 × 104 0.221 1.59 × 105 9.00 × 104 0.249 1.79 × 105 1.00 × 105 0.277 1.99 × 105 1.49 × 105 0.413 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 2.77 × 10-4 71.8 20.0 4.27 × 10-4 110 30.0 6.40 × 10-4 166 40.0 8.54 × 10-4 221 50.0 0.00107 276 60.0 0.00128 331 70.0 0.00149 387 80.0 0.00171 442 90.0 0.00192 497 100 0.00213 552 200 0.00427 1100 300 0.00640 1660 400 0.00854 2210 500 0.0107 2760 600 0.0128 3310 700 0.0149 3870 800 0.0171 4420 900 0.0192 4970 1000 0.0213 5520 2000 0.0427 1.10 × 104 3000 0.0640 1.66 × 104 4000 0.0854 2.21 × 104 5000 0.107 2.76 × 104 6000 0.128 3.31 × 104 7000 0.149 3.87 × 104 8000 0.171 4.42 × 104 9000 0.192 4.97 × 104 1.00 × 104 0.213 5.52 × 104 2.00 × 104 0.427 1.10 × 105 3.00 × 104 0.640 1.66 × 105 4.00 × 104 0.854 2.21 × 105 5.00 × 104 1.07 2.76 × 105 5.38 × 104 1.15 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 0.00444 287 20.0 0.00683 442 30.0 0.0102 663 40.0 0.0137 884 50.0 0.0171 1100 60.0 0.0205 1330 70.0 0.0239 1550 80.0 0.0273 1770 90.0 0.0307 1990 100 0.0341 2210 200 0.0683 4420 300 0.102 6630 400 0.137 8840 500 0.171 1.10 × 104 600 0.205 1.33 × 104 700 0.239 1.55 × 104 800 0.273 1.77 × 104 900 0.307 1.99 × 104 1000 0.341 2.21 × 104 2000 0.683 4.42 × 104 3000 1.02 6.63 × 104 4000 1.37 8.84 × 104 5000 1.71 1.10 × 105 6000 2.05 1.33 × 105 7000 2.39 1.55 × 105 8000 2.73 1.77 × 105 9000 3.07 1.99 × 105 1.00 × 104 3.41 2.21 × 105 1.34 × 104 4.59 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 0.0225 646 20.0 0.0346 994 30.0 0.0519 1490 40.0 0.0691 1990 50.0 0.0864 2480 60.0 0.104 2980 70.0 0.121 3480 80.0 0.138 3980 90.0 0.156 4470 100 0.173 4970 200 0.346 9940 300 0.519 1.49 × 104 400 0.691 1.99 × 104 500 0.864 2.48 × 104 600 1.04 2.98 × 104 700 1.21 3.48 × 104 800 1.38 3.98 × 104 900 1.56 4.47 × 104 1000 1.73 4.97 × 104 2000 3.46 9.94 × 104 2410 4.16 1.20 × 105
 Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 13.0 0.0710 1150 20.0 0.109 1770 30.0 0.164 2650 40.0 0.219 3530 50.0 0.273 4420 60.0 0.328 5300 70.0 0.382 6180 80.0 0.437 7070 90.0 0.492 7950 100 0.546 8840 200 1.09 1.77 × 104 300 1.64 2.65 × 104 400 2.19 3.53 × 104 500 2.73 4.42 × 104 600 3.28 5.30 × 104 700 3.82 6.18 × 104 762 4.16 6.73 × 104
 Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 13.0 0.173 1790 20.0 0.267 2760 30.0 0.400 4140 40.0 0.533 5520 50.0 0.667 6900 60.0 0.800 8280 70.0 0.934 9660 80.0 1.07 1.10 × 104 90.0 1.20 1.24 × 104 100 1.33 1.38 × 104 200 2.67 2.76 × 104 300 4.00 4.14 × 104 312 4.16 4.31 × 104
 Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 13.0 0.360 2580 20.0 0.553 3980 30.0 0.830 5960 40.0 1.11 7950 50.0 1.38 9940 60.0 1.66 1.19 × 104 70.0 1.94 1.39 × 104 80.0 2.21 1.59 × 104 90.0 2.49 1.79 × 104 100 2.77 1.99 × 104 150 4.16 2.99 × 104
 Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 13.0 1.14 4590 20.0 1.75 7070 30.0 2.62 1.06 × 104 40.0 3.50 1.41 × 104 47.6 4.16 1.68 × 104
 Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 13.0 2.77 7180 19.5 4.16 1.08 × 104