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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W10 × 45
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 = 248 in4) for the W10 × 45 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: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 45.0 5.25 × 10-6 10.6 50.0 5.84 × 10-6 11.8 60.0 7.00 × 10-6 14.1 70.0 8.17 × 10-6 16.5 80.0 9.34 × 10-6 18.8 90.0 1.05 × 10-5 21.2 100 1.17 × 10-5 23.6 200 2.33 × 10-5 47.1 300 3.50 × 10-5 70.7 400 4.67 × 10-5 94.2 500 5.84 × 10-5 118 600 7.00 × 10-5 141 700 8.17 × 10-5 165 800 9.34 × 10-5 188 900 1.05 × 10-4 212 1000 1.17 × 10-4 236 2000 2.33 × 10-4 471 3000 3.50 × 10-4 707 4000 4.67 × 10-4 942 5000 5.84 × 10-4 1180 6000 7.00 × 10-4 1410 7000 8.17 × 10-4 1650 8000 9.34 × 10-4 1880 9000 0.00105 2120 1.00 × 104 0.00117 2360 2.00 × 104 0.00233 4710 3.00 × 104 0.00350 7070 4.00 × 104 0.00467 9420 5.00 × 104 0.00584 1.18 × 104 6.00 × 104 0.00700 1.41 × 104 7.00 × 104 0.00817 1.65 × 104 8.00 × 104 0.00934 1.88 × 104 9.00 × 104 0.0105 2.12 × 104 1.00 × 105 0.0117 2.36 × 104 2.00 × 105 0.0233 4.71 × 104 3.00 × 105 0.0350 7.07 × 104 4.00 × 105 0.0467 9.42 × 104 5.00 × 105 0.0584 1.18 × 105 6.00 × 105 0.0700 1.41 × 105 7.00 × 105 0.0817 1.65 × 105 8.00 × 105 0.0934 1.88 × 105 9.00 × 105 0.105 2.12 × 105 1.00 × 106 0.117 2.36 × 105 1.26 × 106 0.147 2.97 × 105
 Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 45.0 4.05 × 10-5 29.4 50.0 4.50 × 10-5 32.7 60.0 5.40 × 10-5 39.3 70.0 6.31 × 10-5 45.8 80.0 7.21 × 10-5 52.3 90.0 8.11 × 10-5 58.9 100 9.01 × 10-5 65.4 200 1.80 × 10-4 131 300 2.70 × 10-4 196 400 3.60 × 10-4 262 500 4.50 × 10-4 327 600 5.40 × 10-4 393 700 6.31 × 10-4 458 800 7.21 × 10-4 523 900 8.11 × 10-4 589 1000 9.01 × 10-4 654 2000 0.00180 1310 3000 0.00270 1960 4000 0.00360 2620 5000 0.00450 3270 6000 0.00540 3930 7000 0.00631 4580 8000 0.00721 5230 9000 0.00811 5890 1.00 × 104 0.00901 6540 2.00 × 104 0.0180 1.31 × 104 3.00 × 104 0.0270 1.96 × 104 4.00 × 104 0.0360 2.62 × 104 5.00 × 104 0.0450 3.27 × 104 6.00 × 104 0.0540 3.93 × 104 7.00 × 104 0.0631 4.58 × 104 8.00 × 104 0.0721 5.23 × 104 9.00 × 104 0.0811 5.89 × 104 1.00 × 105 0.0901 6.54 × 104 2.00 × 105 0.180 1.31 × 105 3.00 × 105 0.270 1.96 × 105 4.00 × 105 0.360 2.62 × 105 4.54 × 105 0.409 2.97 × 105
 Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 45.0 6.49 × 10-4 118 50.0 7.21 × 10-4 131 60.0 8.65 × 10-4 157 70.0 0.00101 183 80.0 0.00115 209 90.0 0.00130 236 100 0.00144 262 200 0.00288 523 300 0.00432 785 400 0.00576 1050 500 0.00721 1310 600 0.00865 1570 700 0.0101 1830 800 0.0115 2090 900 0.0130 2360 1000 0.0144 2620 2000 0.0288 5230 3000 0.0432 7850 4000 0.0576 1.05 × 104 5000 0.0721 1.31 × 104 6000 0.0865 1.57 × 104 7000 0.101 1.83 × 104 8000 0.115 2.09 × 104 9000 0.130 2.36 × 104 1.00 × 104 0.144 2.62 × 104 2.00 × 104 0.288 5.23 × 104 3.00 × 104 0.432 7.85 × 104 4.00 × 104 0.576 1.05 × 105 5.00 × 104 0.721 1.31 × 105 6.00 × 104 0.865 1.57 × 105 7.00 × 104 1.01 1.83 × 105 8.00 × 104 1.15 2.09 × 105 9.00 × 104 1.30 2.36 × 105 1.00 × 105 1.44 2.62 × 105 1.14 × 105 1.64 2.97 × 105
 Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 45.0 0.00328 265 50.0 0.00365 294 60.0 0.00438 353 70.0 0.00511 412 80.0 0.00584 471 90.0 0.00657 530 100 0.00730 589 200 0.0146 1180 300 0.0219 1770 400 0.0292 2360 500 0.0365 2940 600 0.0438 3530 700 0.0511 4120 800 0.0584 4710 900 0.0657 5300 1000 0.0730 5890 2000 0.146 1.18 × 104 3000 0.219 1.77 × 104 4000 0.292 2.36 × 104 5000 0.365 2.94 × 104 6000 0.438 3.53 × 104 7000 0.511 4.12 × 104 8000 0.584 4.71 × 104 9000 0.657 5.30 × 104 1.00 × 104 0.730 5.89 × 104 2.00 × 104 1.46 1.18 × 105 3.00 × 104 2.19 1.77 × 105 4.00 × 104 2.92 2.36 × 105 5.00 × 104 3.65 2.94 × 105 5.04 × 104 3.68 2.97 × 105
 Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 45.0 0.0104 471 50.0 0.0115 523 60.0 0.0138 628 70.0 0.0161 733 80.0 0.0184 837 90.0 0.0208 942 100 0.0231 1050 200 0.0461 2090 300 0.0692 3140 400 0.0922 4190 500 0.115 5230 600 0.138 6280 700 0.161 7330 800 0.184 8370 900 0.208 9420 1000 0.231 1.05 × 104 2000 0.461 2.09 × 104 3000 0.692 3.14 × 104 4000 0.922 4.19 × 104 5000 1.15 5.23 × 104 6000 1.38 6.28 × 104 7000 1.61 7.33 × 104 8000 1.84 8.37 × 104 9000 2.08 9.42 × 104 1.00 × 104 2.31 1.05 × 105 2.00 × 104 4.61 2.09 × 105 2.84 × 104 6.54 2.97 × 105
 Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 45.0 0.0253 736 50.0 0.0281 818 60.0 0.0338 981 70.0 0.0394 1140 80.0 0.0450 1310 90.0 0.0507 1470 100 0.0563 1640 200 0.113 3270 300 0.169 4910 400 0.225 6540 500 0.281 8180 600 0.338 9810 700 0.394 1.14 × 104 800 0.450 1.31 × 104 900 0.507 1.47 × 104 1000 0.563 1.64 × 104 2000 1.13 3.27 × 104 3000 1.69 4.91 × 104 4000 2.25 6.54 × 104 5000 2.81 8.18 × 104 6000 3.38 9.81 × 104 7000 3.94 1.14 × 105 8000 4.50 1.31 × 105 9000 5.07 1.47 × 105 1.00 × 104 5.63 1.64 × 105 1.82 × 104 10.2 2.97 × 105
 Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 45.0 0.0525 1060 50.0 0.0584 1180 60.0 0.0700 1410 70.0 0.0817 1650 80.0 0.0934 1880 90.0 0.105 2120 100 0.117 2360 200 0.233 4710 300 0.350 7070 400 0.467 9420 500 0.584 1.18 × 104 600 0.700 1.41 × 104 700 0.817 1.65 × 104 800 0.934 1.88 × 104 900 1.05 2.12 × 104 1000 1.17 2.36 × 104 2000 2.33 4.71 × 104 3000 3.50 7.07 × 104 4000 4.67 9.42 × 104 5000 5.84 1.18 × 105 6000 7.00 1.41 × 105 7000 8.17 1.65 × 105 8000 9.34 1.88 × 105 8650 10.1 2.04 × 105
 Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 45.0 0.166 1880 50.0 0.184 2090 60.0 0.221 2510 70.0 0.258 2930 80.0 0.295 3350 90.0 0.332 3770 100 0.369 4190 200 0.738 8370 300 1.11 1.26 × 104 400 1.48 1.67 × 104 500 1.84 2.09 × 104 600 2.21 2.51 × 104 700 2.58 2.93 × 104 800 2.95 3.35 × 104 900 3.32 3.77 × 104 1000 3.69 4.19 × 104 2000 7.38 8.37 × 104 2740 10.1 1.15 × 105
 Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 45.0 0.405 2940 50.0 0.450 3270 60.0 0.540 3930 70.0 0.631 4580 80.0 0.721 5230 90.0 0.811 5890 100 0.901 6540 200 1.80 1.31 × 104 300 2.70 1.96 × 104 400 3.60 2.62 × 104 500 4.50 3.27 × 104 600 5.40 3.93 × 104 700 6.31 4.58 × 104 800 7.21 5.23 × 104 900 8.11 5.89 × 104 1000 9.01 6.54 × 104 1120 10.1 7.34 × 104
 Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 45.0 0.841 4240 50.0 0.934 4710 60.0 1.12 5650 70.0 1.31 6590 80.0 1.49 7540 90.0 1.68 8480 100 1.87 9420 200 3.74 1.88 × 104 300 5.60 2.83 × 104 400 7.47 3.77 × 104 500 9.34 4.71 × 104 541 10.1 5.09 × 104
 Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 45.0 1.56 5770 50.0 1.73 6410 60.0 2.08 7690 70.0 2.42 8980 80.0 2.77 1.03 × 104 90.0 3.11 1.15 × 104 100 3.46 1.28 × 104 200 6.92 2.56 × 104 292 10.1 3.74 × 104
 Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 45.0 2.66 7540 50.0 2.95 8370 60.0 3.54 1.00 × 104 70.0 4.13 1.17 × 104 80.0 4.72 1.34 × 104 90.0 5.31 1.51 × 104 100 5.90 1.67 × 104 171 10.1 2.87 × 104
 Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 45.0 4.26 9540 50.0 4.73 1.06 × 104 60.0 5.67 1.27 × 104 70.0 6.62 1.48 × 104 80.0 7.56 1.70 × 104 90.0 8.51 1.91 × 104 100 9.46 2.12 × 104 107 10.1 2.26 × 104
 Steel I Beam: W10 × 45 (Wide Flange 10 inch tall × 45 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 45.0 6.49 1.18 × 104 50.0 7.21 1.31 × 104 60.0 8.65 1.57 × 104 70.0 10.1 1.83 × 104 70.1 10.1 1.83 × 104
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Learn the best principles to negotiate the salary you deserve!

Injection Molding Design Guide

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

Salary Expectation

8 things to know about the interview question "What's your salary expectation"?

Essentials of Manufacturing

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