Materials Design Center Processes Unit Conversion Formulas Mathematics
 Calculators Discussion Forum Trade Publications Directory Service
Selecting the Right 3D Printer

Discover how to choose the right 3D printer for your needs and the key performance attributes to consider.

Mechanical Engineers Outlook

Guide for those interested in becoming a mechanical engineer. Includes qualifications, pay, and job duties.

3D Scanners

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

Essentials of Manufacturing

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

more free publications
Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W16 × 77
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 = 1110 in4) for the W16 × 77 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: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 77.0 2.17 × 10-6 6.19 80.0 2.25 × 10-6 6.43 90.0 2.53 × 10-6 7.23 100 2.82 × 10-6 8.04 200 5.63 × 10-6 16.1 300 8.45 × 10-6 24.1 400 1.13 × 10-5 32.1 500 1.41 × 10-5 40.2 600 1.69 × 10-5 48.2 700 1.97 × 10-5 56.3 800 2.25 × 10-5 64.3 900 2.53 × 10-5 72.3 1000 2.82 × 10-5 80.4 2000 5.63 × 10-5 161 3000 8.45 × 10-5 241 4000 1.13 × 10-4 321 5000 1.41 × 10-4 402 6000 1.69 × 10-4 482 7000 1.97 × 10-4 563 8000 2.25 × 10-4 643 9000 2.53 × 10-4 723 1.00 × 104 2.82 × 10-4 804 2.00 × 104 5.63 × 10-4 1610 3.00 × 104 8.45 × 10-4 2410 4.00 × 104 0.00113 3210 5.00 × 104 0.00141 4020 6.00 × 104 0.00169 4820 7.00 × 104 0.00197 5630 8.00 × 104 0.00225 6430 9.00 × 104 0.00253 7230 1.00 × 105 0.00282 8040 2.00 × 105 0.00563 1.61 × 104 3.00 × 105 0.00845 2.41 × 104 4.00 × 105 0.0113 3.21 × 104 5.00 × 105 0.0141 4.02 × 104 6.00 × 105 0.0169 4.82 × 104 7.00 × 105 0.0197 5.63 × 104 8.00 × 105 0.0225 6.43 × 104 9.00 × 105 0.0253 7.23 × 104 1.00 × 106 0.0282 8.04 × 104 2.00 × 106 0.0563 1.61 × 105 3.00 × 106 0.0845 2.41 × 105 3.70 × 106 0.104 2.97 × 105
 Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 77.0 1.67 × 10-5 17.2 80.0 1.74 × 10-5 17.9 90.0 1.96 × 10-5 20.1 100 2.17 × 10-5 22.3 200 4.34 × 10-5 44.6 300 6.52 × 10-5 67.0 400 8.69 × 10-5 89.3 500 1.09 × 10-4 112 600 1.30 × 10-4 134 700 1.52 × 10-4 156 800 1.74 × 10-4 179 900 1.96 × 10-4 201 1000 2.17 × 10-4 223 2000 4.34 × 10-4 446 3000 6.52 × 10-4 670 4000 8.69 × 10-4 893 5000 0.00109 1120 6000 0.00130 1340 7000 0.00152 1560 8000 0.00174 1790 9000 0.00196 2010 1.00 × 104 0.00217 2230 2.00 × 104 0.00434 4460 3.00 × 104 0.00652 6700 4.00 × 104 0.00869 8930 5.00 × 104 0.0109 1.12 × 104 6.00 × 104 0.0130 1.34 × 104 7.00 × 104 0.0152 1.56 × 104 8.00 × 104 0.0174 1.79 × 104 9.00 × 104 0.0196 2.01 × 104 1.00 × 105 0.0217 2.23 × 104 2.00 × 105 0.0434 4.46 × 104 3.00 × 105 0.0652 6.70 × 104 4.00 × 105 0.0869 8.93 × 104 5.00 × 105 0.109 1.12 × 105 6.00 × 105 0.130 1.34 × 105 7.00 × 105 0.152 1.56 × 105 8.00 × 105 0.174 1.79 × 105 9.00 × 105 0.196 2.01 × 105 1.00 × 106 0.217 2.23 × 105 1.33 × 106 0.289 2.97 × 105
 Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 77.0 2.68 × 10-4 68.8 80.0 2.78 × 10-4 71.4 90.0 3.13 × 10-4 80.4 100 3.48 × 10-4 89.3 200 6.95 × 10-4 179 300 0.00104 268 400 0.00139 357 500 0.00174 446 600 0.00209 536 700 0.00243 625 800 0.00278 714 900 0.00313 804 1000 0.00348 893 2000 0.00695 1790 3000 0.0104 2680 4000 0.0139 3570 5000 0.0174 4460 6000 0.0209 5360 7000 0.0243 6250 8000 0.0278 7140 9000 0.0313 8040 1.00 × 104 0.0348 8930 2.00 × 104 0.0695 1.79 × 104 3.00 × 104 0.104 2.68 × 104 4.00 × 104 0.139 3.57 × 104 5.00 × 104 0.174 4.46 × 104 6.00 × 104 0.209 5.36 × 104 7.00 × 104 0.243 6.25 × 104 8.00 × 104 0.278 7.14 × 104 9.00 × 104 0.313 8.04 × 104 1.00 × 105 0.348 8.93 × 104 2.00 × 105 0.695 1.79 × 105 3.00 × 105 1.04 2.68 × 105 3.33 × 105 1.16 2.97 × 105
 Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 77.0 0.00135 155 80.0 0.00141 161 90.0 0.00158 181 100 0.00176 201 200 0.00352 402 300 0.00528 603 400 0.00704 804 500 0.00880 1000 600 0.0106 1210 700 0.0123 1410 800 0.0141 1610 900 0.0158 1810 1000 0.0176 2010 2000 0.0352 4020 3000 0.0528 6030 4000 0.0704 8040 5000 0.0880 1.00 × 104 6000 0.106 1.21 × 104 7000 0.123 1.41 × 104 8000 0.141 1.61 × 104 9000 0.158 1.81 × 104 1.00 × 104 0.176 2.01 × 104 2.00 × 104 0.352 4.02 × 104 3.00 × 104 0.528 6.03 × 104 4.00 × 104 0.704 8.04 × 104 5.00 × 104 0.880 1.00 × 105 6.00 × 104 1.06 1.21 × 105 7.00 × 104 1.23 1.41 × 105 8.00 × 104 1.41 1.61 × 105 9.00 × 104 1.58 1.81 × 105 1.00 × 105 1.76 2.01 × 105 1.48 × 105 2.60 2.97 × 105
 Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 77.0 0.00428 275 80.0 0.00445 286 90.0 0.00500 321 100 0.00556 357 200 0.0111 714 300 0.0167 1070 400 0.0222 1430 500 0.0278 1790 600 0.0334 2140 700 0.0389 2500 800 0.0445 2860 900 0.0500 3210 1000 0.0556 3570 2000 0.111 7140 3000 0.167 1.07 × 104 4000 0.222 1.43 × 104 5000 0.278 1.79 × 104 6000 0.334 2.14 × 104 7000 0.389 2.50 × 104 8000 0.445 2.86 × 104 9000 0.500 3.21 × 104 1.00 × 104 0.556 3.57 × 104 2.00 × 104 1.11 7.14 × 104 3.00 × 104 1.67 1.07 × 105 4.00 × 104 2.22 1.43 × 105 5.00 × 104 2.78 1.79 × 105 6.00 × 104 3.34 2.14 × 105 7.00 × 104 3.89 2.50 × 105 8.00 × 104 4.45 2.86 × 105 8.32 × 104 4.62 2.97 × 105
 Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 77.0 0.0105 430 80.0 0.0109 446 90.0 0.0122 502 100 0.0136 558 200 0.0272 1120 300 0.0407 1670 400 0.0543 2230 500 0.0679 2790 600 0.0815 3350 700 0.0950 3910 800 0.109 4460 900 0.122 5020 1000 0.136 5580 2000 0.272 1.12 × 104 3000 0.407 1.67 × 104 4000 0.543 2.23 × 104 5000 0.679 2.79 × 104 6000 0.815 3.35 × 104 7000 0.950 3.91 × 104 8000 1.09 4.46 × 104 9000 1.22 5.02 × 104 1.00 × 104 1.36 5.58 × 104 2.00 × 104 2.72 1.12 × 105 3.00 × 104 4.07 1.67 × 105 4.00 × 104 5.43 2.23 × 105 5.00 × 104 6.79 2.79 × 105 5.32 × 104 7.23 2.97 × 105
 Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 77.0 0.0217 619 80.0 0.0225 643 90.0 0.0253 723 100 0.0282 804 200 0.0563 1610 300 0.0845 2410 400 0.113 3210 500 0.141 4020 600 0.169 4820 700 0.197 5630 800 0.225 6430 900 0.253 7230 1000 0.282 8040 2000 0.563 1.61 × 104 3000 0.845 2.41 × 104 4000 1.13 3.21 × 104 5000 1.41 4.02 × 104 6000 1.69 4.82 × 104 7000 1.97 5.63 × 104 8000 2.25 6.43 × 104 9000 2.53 7.23 × 104 1.00 × 104 2.82 8.04 × 104 2.00 × 104 5.63 1.61 × 105 3.00 × 104 8.45 2.41 × 105 3.70 × 104 10.4 2.97 × 105
 Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 77.0 0.0685 1100 80.0 0.0712 1140 90.0 0.0801 1290 100 0.0890 1430 200 0.178 2860 300 0.267 4290 400 0.356 5720 500 0.445 7140 600 0.534 8570 700 0.623 1.00 × 104 800 0.712 1.14 × 104 900 0.801 1.29 × 104 1000 0.890 1.43 × 104 2000 1.78 2.86 × 104 3000 2.67 4.29 × 104 4000 3.56 5.72 × 104 5000 4.45 7.14 × 104 6000 5.34 8.57 × 104 7000 6.23 1.00 × 105 8000 7.12 1.14 × 105 9000 8.01 1.29 × 105 1.00 × 104 8.90 1.43 × 105 1.86 × 104 16.5 2.65 × 105
 Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 77.0 0.167 1720 80.0 0.174 1790 90.0 0.196 2010 100 0.217 2230 200 0.434 4460 300 0.652 6700 400 0.869 8930 500 1.09 1.12 × 104 600 1.30 1.34 × 104 700 1.52 1.56 × 104 800 1.74 1.79 × 104 900 1.96 2.01 × 104 1000 2.17 2.23 × 104 2000 4.34 4.46 × 104 3000 6.52 6.70 × 104 4000 8.69 8.93 × 104 5000 10.9 1.12 × 105 6000 13.0 1.34 × 105 7000 15.2 1.56 × 105 7610 16.5 1.70 × 105
 Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft) L = 60.0 ft (lbf/ft) (in) (psi) 77.0 0.347 2480 80.0 0.360 2570 90.0 0.405 2890 100 0.450 3210 200 0.901 6430 300 1.35 9640 400 1.80 1.29 × 104 500 2.25 1.61 × 104 600 2.70 1.93 × 104 700 3.15 2.25 × 104 800 3.60 2.57 × 104 900 4.05 2.89 × 104 1000 4.50 3.21 × 104 2000 9.01 6.43 × 104 3000 13.5 9.64 × 104 3670 16.5 1.18 × 105
 Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft) L = 70.0 ft (lbf/ft) (in) (psi) 77.0 0.643 3370 80.0 0.668 3500 90.0 0.751 3940 100 0.834 4380 200 1.67 8750 300 2.50 1.31 × 104 400 3.34 1.75 × 104 500 4.17 2.19 × 104 600 5.01 2.63 × 104 700 5.84 3.06 × 104 800 6.68 3.50 × 104 900 7.51 3.94 × 104 1000 8.34 4.38 × 104 1980 16.5 8.66 × 104
 Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft) L = 80.0 ft (lbf/ft) (in) (psi) 77.0 1.10 4400 80.0 1.14 4570 90.0 1.28 5140 100 1.42 5720 200 2.85 1.14 × 104 300 4.27 1.71 × 104 400 5.69 2.29 × 104 500 7.12 2.86 × 104 600 8.54 3.43 × 104 700 9.97 4.00 × 104 800 11.4 4.57 × 104 900 12.8 5.14 × 104 1000 14.2 5.72 × 104 1160 16.5 6.63 × 104
 Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft) L = 90.0 ft (lbf/ft) (in) (psi) 77.0 1.76 5570 80.0 1.82 5790 90.0 2.05 6510 100 2.28 7230 200 4.56 1.45 × 104 300 6.84 2.17 × 104 400 9.12 2.89 × 104 500 11.4 3.62 × 104 600 13.7 4.34 × 104 700 16.0 5.06 × 104 724 16.5 5.24 × 104
 Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft) L = 100 ft (lbf/ft) (in) (psi) 77.0 2.68 6880 80.0 2.78 7140 90.0 3.13 8040 100 3.48 8930 200 6.95 1.79 × 104 300 10.4 2.68 × 104 400 13.9 3.57 × 104 475 16.5 4.24 × 104
 Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft) L = 125 ft (lbf/ft) (in) (psi) 77.0 6.53 1.07 × 104 80.0 6.79 1.12 × 104 90.0 7.64 1.26 × 104 100 8.49 1.40 × 104 195 16.5 2.72 × 104
 Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft) L = 150 ft (lbf/ft) (in) (psi) 77.0 13.5 1.55 × 104 80.0 14.1 1.61 × 104 90.0 15.8 1.81 × 104 93.9 16.5 1.89 × 104
Related Pages
Selecting the Right 3D Printer

Discover how to choose the right 3D printer for your needs and the key performance attributes to consider.

Mechanical Engineers Outlook

Guide for those interested in becoming a mechanical engineer. Includes qualifications, pay, and job duties.

3D Scanners

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

Essentials of Manufacturing

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