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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four 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 four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress stress_max 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 = 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 Yield 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.
L = 3 ft
L = 5 ft
L = 10 ft
L = 15 ft
L = 20 ft
L = 25 ft
L = 30 ft
L = 40 ft
L = 50 ft
L = 60 ft
L = 70 ft
L = 80 ft
L = 90 ft
L = 100 ft
L = 125 ft
L = 150 ft
   
Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 2.01 × 10-6 6.63
80.0 2.09 × 10-6 6.89
90.0 2.35 × 10-6 7.75
100 2.61 × 10-6 8.61
200 5.22 × 10-6 17.2
300 7.82 × 10-6 25.8
400 1.04 × 10-5 34.4
500 1.30 × 10-5 43.0
600 1.56 × 10-5 51.6
700 1.83 × 10-5 60.3
800 2.09 × 10-5 68.9
900 2.35 × 10-5 77.5
1000 2.61 × 10-5 86.1
2000 5.22 × 10-5 172
3000 7.82 × 10-5 258
4000 1.04 × 10-4 344
5000 1.30 × 10-4 430
6000 1.56 × 10-4 516
7000 1.83 × 10-4 603
8000 2.09 × 10-4 689
9000 2.35 × 10-4 775
1.00 × 104 2.61 × 10-4 861
2.00 × 104 5.22 × 10-4 1720
3.00 × 104 7.82 × 10-4 2580
4.00 × 104 0.00104 3440
5.00 × 104 0.00130 4300
6.00 × 104 0.00156 5160
7.00 × 104 0.00183 6030
8.00 × 104 0.00209 6890
9.00 × 104 0.00235 7750
1.00 × 105 0.00261 8610
2.00 × 105 0.00522 1.72 × 104
3.00 × 105 0.00782 2.58 × 104
4.00 × 105 0.0104 3.44 × 104
5.00 × 105 0.0130 4.30 × 104
6.00 × 105 0.0156 5.16 × 104
7.00 × 105 0.0183 6.03 × 104
8.00 × 105 0.0209 6.89 × 104
9.00 × 105 0.0235 7.75 × 104
1.00 × 106 0.0261 8.61 × 104
2.00 × 106 0.0522 1.72 × 105
3.00 × 106 0.0782 2.58 × 105
3.45 × 106 0.0900 2.97 × 105
Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 1.55 × 10-5 18.4
80.0 1.61 × 10-5 19.1
90.0 1.81 × 10-5 21.5
100 2.01 × 10-5 23.9
200 4.03 × 10-5 47.8
300 6.04 × 10-5 71.7
400 8.05 × 10-5 95.6
500 1.01 × 10-4 120
600 1.21 × 10-4 143
700 1.41 × 10-4 167
800 1.61 × 10-4 191
900 1.81 × 10-4 215
1000 2.01 × 10-4 239
2000 4.03 × 10-4 478
3000 6.04 × 10-4 717
4000 8.05 × 10-4 956
5000 0.00101 1200
6000 0.00121 1430
7000 0.00141 1670
8000 0.00161 1910
9000 0.00181 2150
1.00 × 104 0.00201 2390
2.00 × 104 0.00403 4780
3.00 × 104 0.00604 7170
4.00 × 104 0.00805 9560
5.00 × 104 0.0101 1.20 × 104
6.00 × 104 0.0121 1.43 × 104
7.00 × 104 0.0141 1.67 × 104
8.00 × 104 0.0161 1.91 × 104
9.00 × 104 0.0181 2.15 × 104
1.00 × 105 0.0201 2.39 × 104
2.00 × 105 0.0403 4.78 × 104
3.00 × 105 0.0604 7.17 × 104
4.00 × 105 0.0805 9.56 × 104
5.00 × 105 0.101 1.20 × 105
6.00 × 105 0.121 1.43 × 105
7.00 × 105 0.141 1.67 × 105
8.00 × 105 0.161 1.91 × 105
9.00 × 105 0.181 2.15 × 105
1.00 × 106 0.201 2.39 × 105
1.24 × 106 0.250 2.97 × 105
Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 2.48 × 10-4 73.6
80.0 2.58 × 10-4 76.5
90.0 2.90 × 10-4 86.1
100 3.22 × 10-4 95.6
200 6.44 × 10-4 191
300 9.66 × 10-4 287
400 0.00129 383
500 0.00161 478
600 0.00193 574
700 0.00225 669
800 0.00258 765
900 0.00290 861
1000 0.00322 956
2000 0.00644 1910
3000 0.00966 2870
4000 0.0129 3830
5000 0.0161 4780
6000 0.0193 5740
7000 0.0225 6690
8000 0.0258 7650
9000 0.0290 8610
1.00 × 104 0.0322 9560
2.00 × 104 0.0644 1.91 × 104
3.00 × 104 0.0966 2.87 × 104
4.00 × 104 0.129 3.83 × 104
5.00 × 104 0.161 4.78 × 104
6.00 × 104 0.193 5.74 × 104
7.00 × 104 0.225 6.69 × 104
8.00 × 104 0.258 7.65 × 104
9.00 × 104 0.290 8.61 × 104
1.00 × 105 0.322 9.56 × 104
2.00 × 105 0.644 1.91 × 105
3.00 × 105 0.966 2.87 × 105
3.11 × 105 1.00 2.97 × 105
Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 0.00126 166
80.0 0.00130 172
90.0 0.00147 194
100 0.00163 215
200 0.00326 430
300 0.00489 646
400 0.00652 861
500 0.00815 1080
600 0.00978 1290
700 0.0114 1510
800 0.0130 1720
900 0.0147 1940
1000 0.0163 2150
2000 0.0326 4300
3000 0.0489 6460
4000 0.0652 8610
5000 0.0815 1.08 × 104
6000 0.0978 1.29 × 104
7000 0.114 1.51 × 104
8000 0.130 1.72 × 104
9000 0.147 1.94 × 104
1.00 × 104 0.163 2.15 × 104
2.00 × 104 0.326 4.30 × 104
3.00 × 104 0.489 6.46 × 104
4.00 × 104 0.652 8.61 × 104
5.00 × 104 0.815 1.08 × 105
6.00 × 104 0.978 1.29 × 105
7.00 × 104 1.14 1.51 × 105
8.00 × 104 1.30 1.72 × 105
9.00 × 104 1.47 1.94 × 105
1.00 × 105 1.63 2.15 × 105
1.38 × 105 2.25 2.97 × 105
Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 0.00397 295
80.0 0.00412 306
90.0 0.00464 344
100 0.00515 383
200 0.0103 765
300 0.0155 1150
400 0.0206 1530
500 0.0258 1910
600 0.0309 2300
700 0.0361 2680
800 0.0412 3060
900 0.0464 3440
1000 0.0515 3830
2000 0.103 7650
3000 0.155 1.15 × 104
4000 0.206 1.53 × 104
5000 0.258 1.91 × 104
6000 0.309 2.30 × 104
7000 0.361 2.68 × 104
8000 0.412 3.06 × 104
9000 0.464 3.44 × 104
1.00 × 104 0.515 3.83 × 104
2.00 × 104 1.03 7.65 × 104
3.00 × 104 1.55 1.15 × 105
4.00 × 104 2.06 1.53 × 105
5.00 × 104 2.58 1.91 × 105
6.00 × 104 3.09 2.30 × 105
7.00 × 104 3.61 2.68 × 105
7.76 × 104 4.00 2.97 × 105
Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 0.00969 460
80.0 0.0101 478
90.0 0.0113 538
100 0.0126 598
200 0.0252 1200
300 0.0377 1790
400 0.0503 2390
500 0.0629 2990
600 0.0755 3590
700 0.0880 4180
800 0.101 4780
900 0.113 5380
1000 0.126 5980
2000 0.252 1.20 × 104
3000 0.377 1.79 × 104
4000 0.503 2.39 × 104
5000 0.629 2.99 × 104
6000 0.755 3.59 × 104
7000 0.880 4.18 × 104
8000 1.01 4.78 × 104
9000 1.13 5.38 × 104
1.00 × 104 1.26 5.98 × 104
2.00 × 104 2.52 1.20 × 105
3.00 × 104 3.77 1.79 × 105
4.00 × 104 5.03 2.39 × 105
4.97 × 104 6.25 2.97 × 105
Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 0.0201 663
80.0 0.0209 689
90.0 0.0235 775
100 0.0261 861
200 0.0522 1720
300 0.0782 2580
400 0.104 3440
500 0.130 4300
600 0.156 5160
700 0.183 6030
800 0.209 6890
900 0.235 7750
1000 0.261 8610
2000 0.522 1.72 × 104
3000 0.782 2.58 × 104
4000 1.04 3.44 × 104
5000 1.30 4.30 × 104
6000 1.56 5.16 × 104
7000 1.83 6.03 × 104
8000 2.09 6.89 × 104
9000 2.35 7.75 × 104
1.00 × 104 2.61 8.61 × 104
2.00 × 104 5.22 1.72 × 105
3.00 × 104 7.82 2.58 × 105
3.45 × 104 9.00 2.97 × 105
Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 0.0635 1180
80.0 0.0659 1220
90.0 0.0742 1380
100 0.0824 1530
200 0.165 3060
300 0.247 4590
400 0.330 6120
500 0.412 7650
600 0.495 9180
700 0.577 1.07 × 104
800 0.659 1.22 × 104
900 0.742 1.38 × 104
1000 0.824 1.53 × 104
2000 1.65 3.06 × 104
3000 2.47 4.59 × 104
4000 3.30 6.12 × 104
5000 4.12 7.65 × 104
6000 4.95 9.18 × 104
7000 5.77 1.07 × 105
8000 6.59 1.22 × 105
9000 7.42 1.38 × 105
1.00 × 104 8.24 1.53 × 105
1.94 × 104 16.0 2.97 × 105
Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 0.155 1840
80.0 0.161 1910
90.0 0.181 2150
100 0.201 2390
200 0.403 4780
300 0.604 7170
400 0.805 9560
500 1.01 1.20 × 104
600 1.21 1.43 × 104
700 1.41 1.67 × 104
800 1.61 1.91 × 104
900 1.81 2.15 × 104
1000 2.01 2.39 × 104
2000 4.03 4.78 × 104
3000 6.04 7.17 × 104
4000 8.05 9.56 × 104
5000 10.1 1.20 × 105
6000 12.1 1.43 × 105
7000 14.1 1.67 × 105
8000 16.1 1.91 × 105
8210 16.5 1.96 × 105
Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 0.321 2650
80.0 0.334 2750
90.0 0.376 3100
100 0.417 3440
200 0.835 6890
300 1.25 1.03 × 104
400 1.67 1.38 × 104
500 2.09 1.72 × 104
600 2.50 2.07 × 104
700 2.92 2.41 × 104
800 3.34 2.75 × 104
900 3.76 3.10 × 104
1000 4.17 3.44 × 104
2000 8.35 6.89 × 104
3000 12.5 1.03 × 105
3960 16.5 1.36 × 105
Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 0.595 3610
80.0 0.619 3750
90.0 0.696 4220
100 0.773 4690
200 1.55 9370
300 2.32 1.41 × 104
400 3.09 1.87 × 104
500 3.87 2.34 × 104
600 4.64 2.81 × 104
700 5.41 3.28 × 104
800 6.19 3.75 × 104
900 6.96 4.22 × 104
1000 7.73 4.69 × 104
2000 15.5 9.37 × 104
2140 16.5 1.00 × 105
Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 1.02 4710
80.0 1.06 4900
90.0 1.19 5510
100 1.32 6120
200 2.64 1.22 × 104
300 3.96 1.84 × 104
400 5.28 2.45 × 104
500 6.59 3.06 × 104
600 7.91 3.67 × 104
700 9.23 4.28 × 104
800 10.6 4.90 × 104
900 11.9 5.51 × 104
1000 13.2 6.12 × 104
1250 16.5 7.67 × 104
Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 1.63 5960
80.0 1.69 6200
90.0 1.90 6970
100 2.11 7750
200 4.23 1.55 × 104
300 6.34 2.32 × 104
400 8.45 3.10 × 104
500 10.6 3.87 × 104
600 12.7 4.65 × 104
700 14.8 5.42 × 104
782 16.5 6.06 × 104
Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 2.48 7360
80.0 2.58 7650
90.0 2.90 8610
100 3.22 9560
200 6.44 1.91 × 104
300 9.66 2.87 × 104
400 12.9 3.83 × 104
500 16.1 4.78 × 104
513 16.5 4.91 × 104
Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 6.05 1.15 × 104
80.0 6.29 1.20 × 104
90.0 7.08 1.34 × 104
100 7.86 1.49 × 104
200 15.7 2.99 × 104
210 16.5 3.14 × 104
Steel I Beam: W16 × 77 (Wide Flange 16 inch tall × 77 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
77.0 12.6 1.66 × 104
80.0 13.0 1.72 × 104
90.0 14.7 1.94 × 104
100 16.3 2.15 × 104
101 16.5 2.18 × 104
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Injection Molding Design Guide

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

STEM Career Outlook

Wages, employment opportunities, and growth projections for STEM jobs.

Mechanical Engineers Outlook

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

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