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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Single Span » 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 a single span, the maximum displacement w_max and the maximum normal stress stress_max occur at the center 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
   
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 4.15 × 10-6 7.74
80.0 4.31 × 10-6 8.04
90.0 4.85 × 10-6 9.04
100 5.39 × 10-6 10.0
200 1.08 × 10-5 20.1
300 1.62 × 10-5 30.1
400 2.16 × 10-5 40.2
500 2.70 × 10-5 50.2
600 3.23 × 10-5 60.3
700 3.77 × 10-5 70.3
800 4.31 × 10-5 80.4
900 4.85 × 10-5 90.4
1000 5.39 × 10-5 100
2000 1.08 × 10-4 201
3000 1.62 × 10-4 301
4000 2.16 × 10-4 402
5000 2.70 × 10-4 502
6000 3.23 × 10-4 603
7000 3.77 × 10-4 703
8000 4.31 × 10-4 804
9000 4.85 × 10-4 904
1.00 × 104 5.39 × 10-4 1000
2.00 × 104 0.00108 2010
3.00 × 104 0.00162 3010
4.00 × 104 0.00216 4020
5.00 × 104 0.00270 5020
6.00 × 104 0.00323 6030
7.00 × 104 0.00377 7030
8.00 × 104 0.00431 8040
9.00 × 104 0.00485 9040
1.00 × 105 0.00539 1.00 × 104
2.00 × 105 0.0108 2.01 × 104
3.00 × 105 0.0162 3.01 × 104
4.00 × 105 0.0216 4.02 × 104
5.00 × 105 0.0270 5.02 × 104
6.00 × 105 0.0323 6.03 × 104
7.00 × 105 0.0377 7.03 × 104
8.00 × 105 0.0431 8.04 × 104
9.00 × 105 0.0485 9.04 × 104
1.00 × 106 0.0539 1.00 × 105
2.00 × 106 0.108 2.01 × 105
2.96 × 106 0.159 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 3.20 × 10-5 21.5
80.0 3.33 × 10-5 22.3
90.0 3.74 × 10-5 25.1
100 4.16 × 10-5 27.9
200 8.32 × 10-5 55.8
300 1.25 × 10-4 83.7
400 1.66 × 10-4 112
500 2.08 × 10-4 140
600 2.50 × 10-4 167
700 2.91 × 10-4 195
800 3.33 × 10-4 223
900 3.74 × 10-4 251
1000 4.16 × 10-4 279
2000 8.32 × 10-4 558
3000 0.00125 837
4000 0.00166 1120
5000 0.00208 1400
6000 0.00250 1670
7000 0.00291 1950
8000 0.00333 2230
9000 0.00374 2510
1.00 × 104 0.00416 2790
2.00 × 104 0.00832 5580
3.00 × 104 0.0125 8370
4.00 × 104 0.0166 1.12 × 104
5.00 × 104 0.0208 1.40 × 104
6.00 × 104 0.0250 1.67 × 104
7.00 × 104 0.0291 1.95 × 104
8.00 × 104 0.0333 2.23 × 104
9.00 × 104 0.0374 2.51 × 104
1.00 × 105 0.0416 2.79 × 104
2.00 × 105 0.0832 5.58 × 104
3.00 × 105 0.125 8.37 × 104
4.00 × 105 0.166 1.12 × 105
5.00 × 105 0.208 1.40 × 105
6.00 × 105 0.250 1.67 × 105
7.00 × 105 0.291 1.95 × 105
8.00 × 105 0.333 2.23 × 105
9.00 × 105 0.374 2.51 × 105
1.00 × 106 0.416 2.79 × 105
1.06 × 106 0.443 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 5.12 × 10-4 85.9
80.0 5.32 × 10-4 89.3
90.0 5.99 × 10-4 100
100 6.66 × 10-4 112
200 0.00133 223
300 0.00200 335
400 0.00266 446
500 0.00333 558
600 0.00399 670
700 0.00466 781
800 0.00532 893
900 0.00599 1000
1000 0.00666 1120
2000 0.0133 2230
3000 0.0200 3350
4000 0.0266 4460
5000 0.0333 5580
6000 0.0399 6700
7000 0.0466 7810
8000 0.0532 8930
9000 0.0599 1.00 × 104
1.00 × 104 0.0666 1.12 × 104
2.00 × 104 0.133 2.23 × 104
3.00 × 104 0.200 3.35 × 104
4.00 × 104 0.266 4.46 × 104
5.00 × 104 0.333 5.58 × 104
6.00 × 104 0.399 6.70 × 104
7.00 × 104 0.466 7.81 × 104
8.00 × 104 0.532 8.93 × 104
9.00 × 104 0.599 1.00 × 105
1.00 × 105 0.666 1.12 × 105
2.00 × 105 1.33 2.23 × 105
2.66 × 105 1.77 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 0.00259 193
80.0 0.00270 201
90.0 0.00303 226
100 0.00337 251
200 0.00674 502
300 0.0101 753
400 0.0135 1000
500 0.0168 1260
600 0.0202 1510
700 0.0236 1760
800 0.0270 2010
900 0.0303 2260
1000 0.0337 2510
2000 0.0674 5020
3000 0.101 7530
4000 0.135 1.00 × 104
5000 0.168 1.26 × 104
6000 0.202 1.51 × 104
7000 0.236 1.76 × 104
8000 0.270 2.01 × 104
9000 0.303 2.26 × 104
1.00 × 104 0.337 2.51 × 104
2.00 × 104 0.674 5.02 × 104
3.00 × 104 1.01 7.53 × 104
4.00 × 104 1.35 1.00 × 105
5.00 × 104 1.68 1.26 × 105
6.00 × 104 2.02 1.51 × 105
7.00 × 104 2.36 1.76 × 105
8.00 × 104 2.70 2.01 × 105
9.00 × 104 3.03 2.26 × 105
1.00 × 105 3.37 2.51 × 105
1.18 × 105 3.98 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 0.00820 344
80.0 0.00852 357
90.0 0.00958 402
100 0.0106 446
200 0.0213 893
300 0.0319 1340
400 0.0426 1790
500 0.0532 2230
600 0.0639 2680
700 0.0745 3130
800 0.0852 3570
900 0.0958 4020
1000 0.106 4460
2000 0.213 8930
3000 0.319 1.34 × 104
4000 0.426 1.79 × 104
5000 0.532 2.23 × 104
6000 0.639 2.68 × 104
7000 0.745 3.13 × 104
8000 0.852 3.57 × 104
9000 0.958 4.02 × 104
1.00 × 104 1.06 4.46 × 104
2.00 × 104 2.13 8.93 × 104
3.00 × 104 3.19 1.34 × 105
4.00 × 104 4.26 1.79 × 105
5.00 × 104 5.32 2.23 × 105
6.00 × 104 6.39 2.68 × 105
6.65 × 104 7.08 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 0.0200 537
80.0 0.0208 558
90.0 0.0234 628
100 0.0260 698
200 0.0520 1400
300 0.0780 2090
400 0.104 2790
500 0.130 3490
600 0.156 4190
700 0.182 4880
800 0.208 5580
900 0.234 6280
1000 0.260 6980
2000 0.520 1.40 × 104
3000 0.780 2.09 × 104
4000 1.04 2.79 × 104
5000 1.30 3.49 × 104
6000 1.56 4.19 × 104
7000 1.82 4.88 × 104
8000 2.08 5.58 × 104
9000 2.34 6.28 × 104
1.00 × 104 2.60 6.98 × 104
2.00 × 104 5.20 1.40 × 105
3.00 × 104 7.80 2.09 × 105
4.00 × 104 10.4 2.79 × 105
4.26 × 104 11.1 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 0.0415 774
80.0 0.0431 804
90.0 0.0485 904
100 0.0539 1000
200 0.108 2010
300 0.162 3010
400 0.216 4020
500 0.270 5020
600 0.323 6030
700 0.377 7030
800 0.431 8040
900 0.485 9040
1000 0.539 1.00 × 104
2000 1.08 2.01 × 104
3000 1.62 3.01 × 104
4000 2.16 4.02 × 104
5000 2.70 5.02 × 104
6000 3.23 6.03 × 104
7000 3.77 7.03 × 104
8000 4.31 8.04 × 104
9000 4.85 9.04 × 104
1.00 × 104 5.39 1.00 × 105
2.00 × 104 10.8 2.01 × 105
2.96 × 104 15.9 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 0.131 1380
80.0 0.136 1430
90.0 0.153 1610
100 0.170 1790
200 0.341 3570
300 0.511 5360
400 0.681 7140
500 0.852 8930
600 1.02 1.07 × 104
700 1.19 1.25 × 104
800 1.36 1.43 × 104
900 1.53 1.61 × 104
1000 1.70 1.79 × 104
2000 3.41 3.57 × 104
3000 5.11 5.36 × 104
4000 6.81 7.14 × 104
5000 8.52 8.93 × 104
6000 10.2 1.07 × 105
7000 11.9 1.25 × 105
8000 13.6 1.43 × 105
9000 15.3 1.61 × 105
9700 16.5 1.73 × 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 0.320 2150
80.0 0.333 2230
90.0 0.374 2510
100 0.416 2790
200 0.832 5580
300 1.25 8370
400 1.66 1.12 × 104
500 2.08 1.40 × 104
600 2.50 1.67 × 104
700 2.91 1.95 × 104
800 3.33 2.23 × 104
900 3.74 2.51 × 104
1000 4.16 2.79 × 104
2000 8.32 5.58 × 104
3000 12.5 8.37 × 104
3970 16.5 1.11 × 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 0.664 3090
80.0 0.690 3210
90.0 0.776 3620
100 0.863 4020
200 1.73 8040
300 2.59 1.21 × 104
400 3.45 1.61 × 104
500 4.31 2.01 × 104
600 5.18 2.41 × 104
700 6.04 2.81 × 104
800 6.90 3.21 × 104
900 7.76 3.62 × 104
1000 8.63 4.02 × 104
1920 16.5 7.70 × 104
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 1.23 4210
80.0 1.28 4380
90.0 1.44 4920
100 1.60 5470
200 3.20 1.09 × 104
300 4.79 1.64 × 104
400 6.39 2.19 × 104
500 7.99 2.73 × 104
600 9.59 3.28 × 104
700 11.2 3.83 × 104
800 12.8 4.38 × 104
900 14.4 4.92 × 104
1000 16.0 5.47 × 104
1030 16.5 5.65 × 104
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 2.10 5500
80.0 2.18 5720
90.0 2.45 6430
100 2.73 7140
200 5.45 1.43 × 104
300 8.18 2.14 × 104
400 10.9 2.86 × 104
500 13.6 3.57 × 104
600 16.4 4.29 × 104
606 16.5 4.33 × 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 3.36 6960
80.0 3.49 7230
90.0 3.93 8140
100 4.37 9040
200 8.73 1.81 × 104
300 13.1 2.71 × 104
378 16.5 3.42 × 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 5.12 8590
80.0 5.32 8930
90.0 5.99 1.00 × 104
100 6.66 1.12 × 104
200 13.3 2.23 × 104
248 16.5 2.77 × 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 12.5 1.34 × 104
80.0 13.0 1.40 × 104
90.0 14.6 1.57 × 104
100 16.2 1.74 × 104
102 16.5 1.77 × 104
Additional Information
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FREE Publications
Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

3D Scanners

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

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.

more publications