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Wide Flange Steel I Beam: W4 × 13
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W4 × 13
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 span and the maximum normal stress stress_max occuring at the second and third support of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 11.3 in4) for the W4 × 13 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
  
Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 3.60 × 10-5 25.8
20.0 5.53 × 10-5 39.8
30.0 8.30 × 10-5 59.6
40.0 1.11 × 10-4 79.5
50.0 1.38 × 10-4 99.4
60.0 1.66 × 10-4 119
70.0 1.94 × 10-4 139
80.0 2.21 × 10-4 159
90.0 2.49 × 10-4 179
100 2.77 × 10-4 199
200 5.53 × 10-4 398
300 8.30 × 10-4 596
400 0.00111 795
500 0.00138 994
600 0.00166 1190
700 0.00194 1390
800 0.00221 1590
900 0.00249 1790
1000 0.00277 1990
2000 0.00553 3980
3000 0.00830 5960
4000 0.0111 7950
5000 0.0138 9940
6000 0.0166 1.19 × 104
7000 0.0194 1.39 × 104
8000 0.0221 1.59 × 104
9000 0.0249 1.79 × 104
1.00 × 104 0.0277 1.99 × 104
2.00 × 104 0.0553 3.98 × 104
3.00 × 104 0.0830 5.96 × 104
4.00 × 104 0.111 7.95 × 104
5.00 × 104 0.138 9.94 × 104
6.00 × 104 0.166 1.19 × 105
7.00 × 104 0.194 1.39 × 105
8.00 × 104 0.221 1.59 × 105
9.00 × 104 0.249 1.79 × 105
1.00 × 105 0.277 1.99 × 105
1.49 × 105 0.413 2.97 × 105
Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 2.77 × 10-4 71.8
20.0 4.27 × 10-4 110
30.0 6.40 × 10-4 166
40.0 8.54 × 10-4 221
50.0 0.00107 276
60.0 0.00128 331
70.0 0.00149 387
80.0 0.00171 442
90.0 0.00192 497
100 0.00213 552
200 0.00427 1100
300 0.00640 1660
400 0.00854 2210
500 0.0107 2760
600 0.0128 3310
700 0.0149 3870
800 0.0171 4420
900 0.0192 4970
1000 0.0213 5520
2000 0.0427 1.10 × 104
3000 0.0640 1.66 × 104
4000 0.0854 2.21 × 104
5000 0.107 2.76 × 104
6000 0.128 3.31 × 104
7000 0.149 3.87 × 104
8000 0.171 4.42 × 104
9000 0.192 4.97 × 104
1.00 × 104 0.213 5.52 × 104
2.00 × 104 0.427 1.10 × 105
3.00 × 104 0.640 1.66 × 105
4.00 × 104 0.854 2.21 × 105
5.00 × 104 1.07 2.76 × 105
5.38 × 104 1.15 2.97 × 105
Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 0.00444 287
20.0 0.00683 442
30.0 0.0102 663
40.0 0.0137 884
50.0 0.0171 1100
60.0 0.0205 1330
70.0 0.0239 1550
80.0 0.0273 1770
90.0 0.0307 1990
100 0.0341 2210
200 0.0683 4420
300 0.102 6630
400 0.137 8840
500 0.171 1.10 × 104
600 0.205 1.33 × 104
700 0.239 1.55 × 104
800 0.273 1.77 × 104
900 0.307 1.99 × 104
1000 0.341 2.21 × 104
2000 0.683 4.42 × 104
3000 1.02 6.63 × 104
4000 1.37 8.84 × 104
5000 1.71 1.10 × 105
6000 2.05 1.33 × 105
7000 2.39 1.55 × 105
8000 2.73 1.77 × 105
9000 3.07 1.99 × 105
1.00 × 104 3.41 2.21 × 105
1.34 × 104 4.59 2.97 × 105
Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 0.0225 646
20.0 0.0346 994
30.0 0.0519 1490
40.0 0.0691 1990
50.0 0.0864 2480
60.0 0.104 2980
70.0 0.121 3480
80.0 0.138 3980
90.0 0.156 4470
100 0.173 4970
200 0.346 9940
300 0.519 1.49 × 104
400 0.691 1.99 × 104
500 0.864 2.48 × 104
600 1.04 2.98 × 104
700 1.21 3.48 × 104
800 1.38 3.98 × 104
900 1.56 4.47 × 104
1000 1.73 4.97 × 104
2000 3.46 9.94 × 104
2410 4.16 1.20 × 105
Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 0.0710 1150
20.0 0.109 1770
30.0 0.164 2650
40.0 0.219 3530
50.0 0.273 4420
60.0 0.328 5300
70.0 0.382 6180
80.0 0.437 7070
90.0 0.492 7950
100 0.546 8840
200 1.09 1.77 × 104
300 1.64 2.65 × 104
400 2.19 3.53 × 104
500 2.73 4.42 × 104
600 3.28 5.30 × 104
700 3.82 6.18 × 104
762 4.16 6.73 × 104
Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 0.173 1790
20.0 0.267 2760
30.0 0.400 4140
40.0 0.533 5520
50.0 0.667 6900
60.0 0.800 8280
70.0 0.934 9660
80.0 1.07 1.10 × 104
90.0 1.20 1.24 × 104
100 1.33 1.38 × 104
200 2.67 2.76 × 104
300 4.00 4.14 × 104
312 4.16 4.31 × 104
Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 0.360 2580
20.0 0.553 3980
30.0 0.830 5960
40.0 1.11 7950
50.0 1.38 9940
60.0 1.66 1.19 × 104
70.0 1.94 1.39 × 104
80.0 2.21 1.59 × 104
90.0 2.49 1.79 × 104
100 2.77 1.99 × 104
150 4.16 2.99 × 104
Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 1.14 4590
20.0 1.75 7070
30.0 2.62 1.06 × 104
40.0 3.50 1.41 × 104
47.6 4.16 1.68 × 104
Steel I Beam: W4 × 13 (Wide Flange 4 inch tall × 13 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
13.0 2.77 7180
19.5 4.16 1.08 × 104
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