Wide Flange Steel I Beam: W8 × 40

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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W8 × 40
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 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 = 146 in4) for the W8 × 40 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: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 40.0 8.56 × 10-6 12.2 50.0 1.07 × 10-5 15.3 60.0 1.28 × 10-5 18.3 70.0 1.50 × 10-5 21.4 80.0 1.71 × 10-5 24.4 90.0 1.93 × 10-5 27.5 100 2.14 × 10-5 30.5 200 4.28 × 10-5 61.0 300 6.42 × 10-5 91.5 400 8.56 × 10-5 122 500 1.07 × 10-4 153 600 1.28 × 10-4 183 700 1.50 × 10-4 214 800 1.71 × 10-4 244 900 1.93 × 10-4 275 1000 2.14 × 10-4 305 2000 4.28 × 10-4 610 3000 6.42 × 10-4 915 4000 8.56 × 10-4 1220 5000 0.00107 1530 6000 0.00128 1830 7000 0.00150 2140 8000 0.00171 2440 9000 0.00193 2750 1.00 × 104 0.00214 3050 2.00 × 104 0.00428 6100 3.00 × 104 0.00642 9150 4.00 × 104 0.00856 1.22 × 104 5.00 × 104 0.0107 1.53 × 104 6.00 × 104 0.0128 1.83 × 104 7.00 × 104 0.0150 2.14 × 104 8.00 × 104 0.0171 2.44 × 104 9.00 × 104 0.0193 2.75 × 104 1.00 × 105 0.0214 3.05 × 104 2.00 × 105 0.0428 6.10 × 104 3.00 × 105 0.0642 9.15 × 104 4.00 × 105 0.0856 1.22 × 105 5.00 × 105 0.107 1.53 × 105 6.00 × 105 0.128 1.83 × 105 7.00 × 105 0.150 2.14 × 105 8.00 × 105 0.171 2.44 × 105 9.00 × 105 0.193 2.75 × 105 9.73 × 105 0.208 2.97 × 105
 Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 40.0 6.61 × 10-5 33.9 50.0 8.26 × 10-5 42.4 60.0 9.91 × 10-5 50.9 70.0 1.16 × 10-4 59.3 80.0 1.32 × 10-4 67.8 90.0 1.49 × 10-4 76.3 100 1.65 × 10-4 84.8 200 3.30 × 10-4 170 300 4.95 × 10-4 254 400 6.61 × 10-4 339 500 8.26 × 10-4 424 600 9.91 × 10-4 509 700 0.00116 593 800 0.00132 678 900 0.00149 763 1000 0.00165 848 2000 0.00330 1700 3000 0.00495 2540 4000 0.00661 3390 5000 0.00826 4240 6000 0.00991 5090 7000 0.0116 5930 8000 0.0132 6780 9000 0.0149 7630 1.00 × 104 0.0165 8480 2.00 × 104 0.0330 1.70 × 104 3.00 × 104 0.0495 2.54 × 104 4.00 × 104 0.0661 3.39 × 104 5.00 × 104 0.0826 4.24 × 104 6.00 × 104 0.0991 5.09 × 104 7.00 × 104 0.116 5.93 × 104 8.00 × 104 0.132 6.78 × 104 9.00 × 104 0.149 7.63 × 104 1.00 × 105 0.165 8.48 × 104 2.00 × 105 0.330 1.70 × 105 3.00 × 105 0.495 2.54 × 105 3.50 × 105 0.579 2.97 × 105
 Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 40.0 0.00106 136 50.0 0.00132 170 60.0 0.00159 203 70.0 0.00185 237 80.0 0.00211 271 90.0 0.00238 305 100 0.00264 339 200 0.00528 678 300 0.00793 1020 400 0.0106 1360 500 0.0132 1700 600 0.0159 2030 700 0.0185 2370 800 0.0211 2710 900 0.0238 3050 1000 0.0264 3390 2000 0.0528 6780 3000 0.0793 1.02 × 104 4000 0.106 1.36 × 104 5000 0.132 1.70 × 104 6000 0.159 2.03 × 104 7000 0.185 2.37 × 104 8000 0.211 2.71 × 104 9000 0.238 3.05 × 104 1.00 × 104 0.264 3.39 × 104 2.00 × 104 0.528 6.78 × 104 3.00 × 104 0.793 1.02 × 105 4.00 × 104 1.06 1.36 × 105 5.00 × 104 1.32 1.70 × 105 6.00 × 104 1.59 2.03 × 105 7.00 × 104 1.85 2.37 × 105 8.00 × 104 2.11 2.71 × 105 8.76 × 104 2.32 2.97 × 105
 Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 40.0 0.00535 305 50.0 0.00669 381 60.0 0.00803 458 70.0 0.00936 534 80.0 0.0107 610 90.0 0.0120 687 100 0.0134 763 200 0.0268 1530 300 0.0401 2290 400 0.0535 3050 500 0.0669 3810 600 0.0803 4580 700 0.0936 5340 800 0.107 6100 900 0.120 6870 1000 0.134 7630 2000 0.268 1.53 × 104 3000 0.401 2.29 × 104 4000 0.535 3.05 × 104 5000 0.669 3.81 × 104 6000 0.803 4.58 × 104 7000 0.936 5.34 × 104 8000 1.07 6.10 × 104 9000 1.20 6.87 × 104 1.00 × 104 1.34 7.63 × 104 2.00 × 104 2.68 1.53 × 105 3.00 × 104 4.01 2.29 × 105 3.89 × 104 5.21 2.97 × 105
 Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 40.0 0.0169 542 50.0 0.0211 678 60.0 0.0254 814 70.0 0.0296 949 80.0 0.0338 1080 90.0 0.0381 1220 100 0.0423 1360 200 0.0846 2710 300 0.127 4070 400 0.169 5420 500 0.211 6780 600 0.254 8140 700 0.296 9490 800 0.338 1.08 × 104 900 0.381 1.22 × 104 1000 0.423 1.36 × 104 2000 0.846 2.71 × 104 3000 1.27 4.07 × 104 4000 1.69 5.42 × 104 5000 2.11 6.78 × 104 6000 2.54 8.14 × 104 7000 2.96 9.49 × 104 8000 3.38 1.08 × 105 9000 3.81 1.22 × 105 1.00 × 104 4.23 1.36 × 105 1.95 × 104 8.25 2.65 × 105
 Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 40.0 0.0413 848 50.0 0.0516 1060 60.0 0.0619 1270 70.0 0.0723 1480 80.0 0.0826 1700 90.0 0.0929 1910 100 0.103 2120 200 0.206 4240 300 0.310 6360 400 0.413 8480 500 0.516 1.06 × 104 600 0.619 1.27 × 104 700 0.723 1.48 × 104 800 0.826 1.70 × 104 900 0.929 1.91 × 104 1000 1.03 2.12 × 104 2000 2.06 4.24 × 104 3000 3.10 6.36 × 104 4000 4.13 8.48 × 104 5000 5.16 1.06 × 105 6000 6.19 1.27 × 105 7000 7.23 1.48 × 105 7990 8.25 1.69 × 105
 Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 40.0 0.0856 1220 50.0 0.107 1530 60.0 0.128 1830 70.0 0.150 2140 80.0 0.171 2440 90.0 0.193 2750 100 0.214 3050 200 0.428 6100 300 0.642 9150 400 0.856 1.22 × 104 500 1.07 1.53 × 104 600 1.28 1.83 × 104 700 1.50 2.14 × 104 800 1.71 2.44 × 104 900 1.93 2.75 × 104 1000 2.14 3.05 × 104 2000 4.28 6.10 × 104 3000 6.42 9.15 × 104 3850 8.25 1.18 × 105
 Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 40.0 0.271 2170 50.0 0.338 2710 60.0 0.406 3250 70.0 0.474 3800 80.0 0.541 4340 90.0 0.609 4880 100 0.676 5420 200 1.35 1.08 × 104 300 2.03 1.63 × 104 400 2.71 2.17 × 104 500 3.38 2.71 × 104 600 4.06 3.25 × 104 700 4.74 3.80 × 104 800 5.41 4.34 × 104 900 6.09 4.88 × 104 1000 6.76 5.42 × 104 1220 8.25 6.62 × 104
 Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 40.0 0.661 3390 50.0 0.826 4240 60.0 0.991 5090 70.0 1.16 5930 80.0 1.32 6780 90.0 1.49 7630 100 1.65 8480 200 3.30 1.70 × 104 300 4.95 2.54 × 104 400 6.61 3.39 × 104 500 8.25 4.23 × 104
 Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 40.0 1.37 4880 50.0 1.71 6100 60.0 2.05 7320 70.0 2.40 8540 80.0 2.74 9760 90.0 3.08 1.10 × 104 100 3.42 1.22 × 104 200 6.85 2.44 × 104 241 8.25 2.94 × 104
 Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 40.0 2.54 6650 50.0 3.17 8310 60.0 3.81 9970 70.0 4.44 1.16 × 104 80.0 5.08 1.33 × 104 90.0 5.71 1.50 × 104 100 6.34 1.66 × 104 130 8.25 2.16 × 104
 Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 40.0 4.33 8680 50.0 5.41 1.08 × 104 60.0 6.49 1.30 × 104 70.0 7.58 1.52 × 104 76.2 8.25 1.65 × 104
 Steel I Beam: W8 × 40 (Wide Flange 8 inch tall × 40 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 40.0 6.93 1.10 × 104 47.6 8.25 1.31 × 104