Materials Design Center Processes Unit Conversion Formulas Mathematics
 Calculators Discussion Forum Trade Publications Directory Service
NASA Tech Briefs

Innovations developed by NASA and its industry partners in a wide array of fields.

Offshore

International news and technology for marine/offshore operations around the world.

Wind Systems

Towers, turbines, gearboxes; processes for shaping and finishing component parts.

3D Scanners

A white paper to assist in the evaluation of 3D scanning hardware solutions.

more free magazines
Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W12 × 65
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 = 533 in4) for the W12 × 65 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: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 65.0 3.81 × 10-6 7.98 70.0 4.10 × 10-6 8.60 80.0 4.69 × 10-6 9.82 90.0 5.28 × 10-6 11.1 100 5.86 × 10-6 12.3 200 1.17 × 10-5 24.6 300 1.76 × 10-5 36.8 400 2.35 × 10-5 49.1 500 2.93 × 10-5 61.4 600 3.52 × 10-5 73.7 700 4.10 × 10-5 86.0 800 4.69 × 10-5 98.2 900 5.28 × 10-5 111 1000 5.86 × 10-5 123 2000 1.17 × 10-4 246 3000 1.76 × 10-4 368 4000 2.35 × 10-4 491 5000 2.93 × 10-4 614 6000 3.52 × 10-4 737 7000 4.10 × 10-4 860 8000 4.69 × 10-4 982 9000 5.28 × 10-4 1110 1.00 × 104 5.86 × 10-4 1230 2.00 × 104 0.00117 2460 3.00 × 104 0.00176 3680 4.00 × 104 0.00235 4910 5.00 × 104 0.00293 6140 6.00 × 104 0.00352 7370 7.00 × 104 0.00410 8600 8.00 × 104 0.00469 9820 9.00 × 104 0.00528 1.11 × 104 1.00 × 105 0.00586 1.23 × 104 2.00 × 105 0.0117 2.46 × 104 3.00 × 105 0.0176 3.68 × 104 4.00 × 105 0.0235 4.91 × 104 5.00 × 105 0.0293 6.14 × 104 6.00 × 105 0.0352 7.37 × 104 7.00 × 105 0.0410 8.60 × 104 8.00 × 105 0.0469 9.82 × 104 9.00 × 105 0.0528 1.11 × 105 1.00 × 106 0.0586 1.23 × 105 2.00 × 106 0.117 2.46 × 105 2.42 × 106 0.142 2.97 × 105
 Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 65.0 2.94 × 10-5 22.2 70.0 3.17 × 10-5 23.9 80.0 3.62 × 10-5 27.3 90.0 4.07 × 10-5 30.7 100 4.52 × 10-5 34.1 200 9.05 × 10-5 68.2 300 1.36 × 10-4 102 400 1.81 × 10-4 136 500 2.26 × 10-4 171 600 2.71 × 10-4 205 700 3.17 × 10-4 239 800 3.62 × 10-4 273 900 4.07 × 10-4 307 1000 4.52 × 10-4 341 2000 9.05 × 10-4 682 3000 0.00136 1020 4000 0.00181 1360 5000 0.00226 1710 6000 0.00271 2050 7000 0.00317 2390 8000 0.00362 2730 9000 0.00407 3070 1.00 × 104 0.00452 3410 2.00 × 104 0.00905 6820 3.00 × 104 0.0136 1.02 × 104 4.00 × 104 0.0181 1.36 × 104 5.00 × 104 0.0226 1.71 × 104 6.00 × 104 0.0271 2.05 × 104 7.00 × 104 0.0317 2.39 × 104 8.00 × 104 0.0362 2.73 × 104 9.00 × 104 0.0407 3.07 × 104 1.00 × 105 0.0452 3.41 × 104 2.00 × 105 0.0905 6.82 × 104 3.00 × 105 0.136 1.02 × 105 4.00 × 105 0.181 1.36 × 105 5.00 × 105 0.226 1.71 × 105 6.00 × 105 0.271 2.05 × 105 7.00 × 105 0.317 2.39 × 105 8.00 × 105 0.362 2.73 × 105 8.71 × 105 0.394 2.97 × 105
 Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 65.0 4.70 × 10-4 88.7 70.0 5.07 × 10-4 95.5 80.0 5.79 × 10-4 109 90.0 6.51 × 10-4 123 100 7.24 × 10-4 136 200 0.00145 273 300 0.00217 409 400 0.00290 546 500 0.00362 682 600 0.00434 819 700 0.00507 955 800 0.00579 1090 900 0.00651 1230 1000 0.00724 1360 2000 0.0145 2730 3000 0.0217 4090 4000 0.0290 5460 5000 0.0362 6820 6000 0.0434 8190 7000 0.0507 9550 8000 0.0579 1.09 × 104 9000 0.0651 1.23 × 104 1.00 × 104 0.0724 1.36 × 104 2.00 × 104 0.145 2.73 × 104 3.00 × 104 0.217 4.09 × 104 4.00 × 104 0.290 5.46 × 104 5.00 × 104 0.362 6.82 × 104 6.00 × 104 0.434 8.19 × 104 7.00 × 104 0.507 9.55 × 104 8.00 × 104 0.579 1.09 × 105 9.00 × 104 0.651 1.23 × 105 1.00 × 105 0.724 1.36 × 105 2.00 × 105 1.45 2.73 × 105 2.18 × 105 1.58 2.97 × 105
 Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 65.0 0.00238 200 70.0 0.00257 215 80.0 0.00293 246 90.0 0.00330 276 100 0.00366 307 200 0.00733 614 300 0.0110 921 400 0.0147 1230 500 0.0183 1530 600 0.0220 1840 700 0.0257 2150 800 0.0293 2460 900 0.0330 2760 1000 0.0366 3070 2000 0.0733 6140 3000 0.110 9210 4000 0.147 1.23 × 104 5000 0.183 1.53 × 104 6000 0.220 1.84 × 104 7000 0.257 2.15 × 104 8000 0.293 2.46 × 104 9000 0.330 2.76 × 104 1.00 × 104 0.366 3.07 × 104 2.00 × 104 0.733 6.14 × 104 3.00 × 104 1.10 9.21 × 104 4.00 × 104 1.47 1.23 × 105 5.00 × 104 1.83 1.53 × 105 6.00 × 104 2.20 1.84 × 105 7.00 × 104 2.57 2.15 × 105 8.00 × 104 2.93 2.46 × 105 9.00 × 104 3.30 2.76 × 105 9.68 × 104 3.55 2.97 × 105
 Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 65.0 0.00753 355 70.0 0.00811 382 80.0 0.00926 437 90.0 0.0104 491 100 0.0116 546 200 0.0232 1090 300 0.0347 1640 400 0.0463 2180 500 0.0579 2730 600 0.0695 3270 700 0.0811 3820 800 0.0926 4370 900 0.104 4910 1000 0.116 5460 2000 0.232 1.09 × 104 3000 0.347 1.64 × 104 4000 0.463 2.18 × 104 5000 0.579 2.73 × 104 6000 0.695 3.27 × 104 7000 0.811 3.82 × 104 8000 0.926 4.37 × 104 9000 1.04 4.91 × 104 1.00 × 104 1.16 5.46 × 104 2.00 × 104 2.32 1.09 × 105 3.00 × 104 3.47 1.64 × 105 4.00 × 104 4.63 2.18 × 105 5.00 × 104 5.79 2.73 × 105 5.44 × 104 6.30 2.97 × 105
 Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 65.0 0.0184 554 70.0 0.0198 597 80.0 0.0226 682 90.0 0.0254 767 100 0.0283 853 200 0.0565 1710 300 0.0848 2560 400 0.113 3410 500 0.141 4260 600 0.170 5120 700 0.198 5970 800 0.226 6820 900 0.254 7670 1000 0.283 8530 2000 0.565 1.71 × 104 3000 0.848 2.56 × 104 4000 1.13 3.41 × 104 5000 1.41 4.26 × 104 6000 1.70 5.12 × 104 7000 1.98 5.97 × 104 8000 2.26 6.82 × 104 9000 2.54 7.67 × 104 1.00 × 104 2.83 8.53 × 104 2.00 × 104 5.65 1.71 × 105 3.00 × 104 8.48 2.56 × 105 3.48 × 104 9.85 2.97 × 105
 Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 65.0 0.0381 798 70.0 0.0410 860 80.0 0.0469 982 90.0 0.0528 1110 100 0.0586 1230 200 0.117 2460 300 0.176 3680 400 0.235 4910 500 0.293 6140 600 0.352 7370 700 0.410 8600 800 0.469 9820 900 0.528 1.11 × 104 1000 0.586 1.23 × 104 2000 1.17 2.46 × 104 3000 1.76 3.68 × 104 4000 2.35 4.91 × 104 5000 2.93 6.14 × 104 6000 3.52 7.37 × 104 7000 4.10 8.60 × 104 8000 4.69 9.82 × 104 9000 5.28 1.11 × 105 1.00 × 104 5.86 1.23 × 105 2.00 × 104 11.7 2.46 × 105 2.42 × 104 14.2 2.97 × 105
 Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 65.0 0.120 1420 70.0 0.130 1530 80.0 0.148 1750 90.0 0.167 1960 100 0.185 2180 200 0.371 4370 300 0.556 6550 400 0.741 8730 500 0.926 1.09 × 104 600 1.11 1.31 × 104 700 1.30 1.53 × 104 800 1.48 1.75 × 104 900 1.67 1.96 × 104 1000 1.85 2.18 × 104 2000 3.71 4.37 × 104 3000 5.56 6.55 × 104 4000 7.41 8.73 × 104 5000 9.26 1.09 × 105 6000 11.1 1.31 × 105 6540 12.1 1.43 × 105
 Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 65.0 0.294 2220 70.0 0.317 2390 80.0 0.362 2730 90.0 0.407 3070 100 0.452 3410 200 0.905 6820 300 1.36 1.02 × 104 400 1.81 1.36 × 104 500 2.26 1.71 × 104 600 2.71 2.05 × 104 700 3.17 2.39 × 104 800 3.62 2.73 × 104 900 4.07 3.07 × 104 1000 4.52 3.41 × 104 2000 9.05 6.82 × 104 2680 12.1 9.14 × 104
 Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 65.0 0.610 3190 70.0 0.657 3440 80.0 0.750 3930 90.0 0.844 4420 100 0.938 4910 200 1.88 9820 300 2.81 1.47 × 104 400 3.75 1.96 × 104 500 4.69 2.46 × 104 600 5.63 2.95 × 104 700 6.57 3.44 × 104 800 7.50 3.93 × 104 900 8.44 4.42 × 104 1000 9.38 4.91 × 104 1290 12.1 6.35 × 104
 Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 65.0 1.13 4350 70.0 1.22 4680 80.0 1.39 5350 90.0 1.56 6020 100 1.74 6690 200 3.48 1.34 × 104 300 5.21 2.01 × 104 400 6.95 2.67 × 104 500 8.69 3.34 × 104 600 10.4 4.01 × 104 697 12.1 4.66 × 104
 Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 65.0 1.93 5680 70.0 2.08 6110 80.0 2.37 6990 90.0 2.67 7860 100 2.96 8730 200 5.93 1.75 × 104 300 8.89 2.62 × 104 400 11.9 3.49 × 104 409 12.1 3.57 × 104
 Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 65.0 3.09 7180 70.0 3.32 7740 80.0 3.80 8840 90.0 4.27 9950 100 4.75 1.11 × 104 200 9.50 2.21 × 104 255 12.1 2.82 × 104
 Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 65.0 4.70 8870 70.0 5.07 9550 80.0 5.79 1.09 × 104 90.0 6.51 1.23 × 104 100 7.24 1.36 × 104 167 12.1 2.28 × 104
 Steel I Beam: W12 × 65 (Wide Flange 12 inch tall × 65 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 65.0 11.5 1.39 × 104 68.6 12.1 1.46 × 104