Injection Molding Design Guide

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

3D Scanners

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

Mechanical Engineers Outlook

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

Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

more free publications

Materials

Design

Processes

Units

Formulas

Math
Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » S Section Steel I Beam » S24 × 100
S Section 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 = 2390 in4) for the S24 × 100 S Section 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
L = 200 ft
   
Steel I Beam: S24 × 100 (S24 inch tall × 100 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 1.21 × 10-6 5.81
200 2.42 × 10-6 11.6
300 3.63 × 10-6 17.4
400 4.85 × 10-6 23.2
500 6.06 × 10-6 29.0
600 7.27 × 10-6 34.8
700 8.48 × 10-6 40.7
800 9.69 × 10-6 46.5
900 1.09 × 10-5 52.3
1000 1.21 × 10-5 58.1
2000 2.42 × 10-5 116
3000 3.63 × 10-5 174
4000 4.85 × 10-5 232
5000 6.06 × 10-5 290
6000 7.27 × 10-5 348
7000 8.48 × 10-5 407
8000 9.69 × 10-5 465
9000 1.09 × 10-4 523
1.00 × 104 1.21 × 10-4 581
2.00 × 104 2.42 × 10-4 1160
3.00 × 104 3.63 × 10-4 1740
4.00 × 104 4.85 × 10-4 2320
5.00 × 104 6.06 × 10-4 2900
6.00 × 104 7.27 × 10-4 3480
7.00 × 104 8.48 × 10-4 4070
8.00 × 104 9.69 × 10-4 4650
9.00 × 104 0.00109 5230
1.00 × 105 0.00121 5810
2.00 × 105 0.00242 1.16 × 104
3.00 × 105 0.00363 1.74 × 104
4.00 × 105 0.00485 2.32 × 104
5.00 × 105 0.00606 2.90 × 104
6.00 × 105 0.00727 3.48 × 104
7.00 × 105 0.00848 4.07 × 104
8.00 × 105 0.00969 4.65 × 104
9.00 × 105 0.0109 5.23 × 104
1.00 × 106 0.0121 5.81 × 104
2.00 × 106 0.0242 1.16 × 105
3.00 × 106 0.0363 1.74 × 105
4.00 × 106 0.0485 2.32 × 105
5.00 × 106 0.0606 2.90 × 105
5.11 × 106 0.0620 2.97 × 105
Steel I Beam: S24 × 100 (S24 inch tall × 100 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 9.35 × 10-6 16.1
200 1.87 × 10-5 32.3
300 2.80 × 10-5 48.4
400 3.74 × 10-5 64.5
500 4.67 × 10-5 80.7
600 5.61 × 10-5 96.8
700 6.54 × 10-5 113
800 7.48 × 10-5 129
900 8.41 × 10-5 145
1000 9.35 × 10-5 161
2000 1.87 × 10-4 323
3000 2.80 × 10-4 484
4000 3.74 × 10-4 645
5000 4.67 × 10-4 807
6000 5.61 × 10-4 968
7000 6.54 × 10-4 1130
8000 7.48 × 10-4 1290
9000 8.41 × 10-4 1450
1.00 × 104 9.35 × 10-4 1610
2.00 × 104 0.00187 3230
3.00 × 104 0.00280 4840
4.00 × 104 0.00374 6450
5.00 × 104 0.00467 8070
6.00 × 104 0.00561 9680
7.00 × 104 0.00654 1.13 × 104
8.00 × 104 0.00748 1.29 × 104
9.00 × 104 0.00841 1.45 × 104
1.00 × 105 0.00935 1.61 × 104
2.00 × 105 0.0187 3.23 × 104
3.00 × 105 0.0280 4.84 × 104
4.00 × 105 0.0374 6.45 × 104
5.00 × 105 0.0467 8.07 × 104
6.00 × 105 0.0561 9.68 × 104
7.00 × 105 0.0654 1.13 × 105
8.00 × 105 0.0748 1.29 × 105
9.00 × 105 0.0841 1.45 × 105
1.00 × 106 0.0935 1.61 × 105
1.84 × 106 0.172 2.97 × 105
Steel I Beam: S24 × 100 (S24 inch tall × 100 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 1.50 × 10-4 64.5
200 2.99 × 10-4 129
300 4.49 × 10-4 194
400 5.98 × 10-4 258
500 7.48 × 10-4 323
600 8.97 × 10-4 387
700 0.00105 452
800 0.00120 516
900 0.00135 581
1000 0.00150 645
2000 0.00299 1290
3000 0.00449 1940
4000 0.00598 2580
5000 0.00748 3230
6000 0.00897 3870
7000 0.0105 4520
8000 0.0120 5160
9000 0.0135 5810
1.00 × 104 0.0150 6450
2.00 × 104 0.0299 1.29 × 104
3.00 × 104 0.0449 1.94 × 104
4.00 × 104 0.0598 2.58 × 104
5.00 × 104 0.0748 3.23 × 104
6.00 × 104 0.0897 3.87 × 104
7.00 × 104 0.105 4.52 × 104
8.00 × 104 0.120 5.16 × 104
9.00 × 104 0.135 5.81 × 104
1.00 × 105 0.150 6.45 × 104
2.00 × 105 0.299 1.29 × 105
3.00 × 105 0.449 1.94 × 105
4.00 × 105 0.598 2.58 × 105
4.60 × 105 0.688 2.97 × 105
Steel I Beam: S24 × 100 (S24 inch tall × 100 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 7.57 × 10-4 145
200 0.00151 290
300 0.00227 436
400 0.00303 581
500 0.00379 726
600 0.00454 871
700 0.00530 1020
800 0.00606 1160
900 0.00681 1310
1000 0.00757 1450
2000 0.0151 2900
3000 0.0227 4360
4000 0.0303 5810
5000 0.0379 7260
6000 0.0454 8710
7000 0.0530 1.02 × 104
8000 0.0606 1.16 × 104
9000 0.0681 1.31 × 104
1.00 × 104 0.0757 1.45 × 104
2.00 × 104 0.151 2.90 × 104
3.00 × 104 0.227 4.36 × 104
4.00 × 104 0.303 5.81 × 104
5.00 × 104 0.379 7.26 × 104
6.00 × 104 0.454 8.71 × 104
7.00 × 104 0.530 1.02 × 105
8.00 × 104 0.606 1.16 × 105
9.00 × 104 0.681 1.31 × 105
1.00 × 105 0.757 1.45 × 105
2.00 × 105 1.51 2.90 × 105
2.05 × 105 1.55 2.97 × 105
Steel I Beam: S24 × 100 (S24 inch tall × 100 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 0.00239 258
200 0.00479 516
300 0.00718 774
400 0.00957 1030
500 0.0120 1290
600 0.0144 1550
700 0.0167 1810
800 0.0191 2060
900 0.0215 2320
1000 0.0239 2580
2000 0.0479 5160
3000 0.0718 7740
4000 0.0957 1.03 × 104
5000 0.120 1.29 × 104
6000 0.144 1.55 × 104
7000 0.167 1.81 × 104
8000 0.191 2.06 × 104
9000 0.215 2.32 × 104
1.00 × 104 0.239 2.58 × 104
2.00 × 104 0.479 5.16 × 104
3.00 × 104 0.718 7.74 × 104
4.00 × 104 0.957 1.03 × 105
5.00 × 104 1.20 1.29 × 105
6.00 × 104 1.44 1.55 × 105
7.00 × 104 1.67 1.81 × 105
8.00 × 104 1.91 2.06 × 105
9.00 × 104 2.15 2.32 × 105
1.00 × 105 2.39 2.58 × 105
1.15 × 105 2.75 2.97 × 105
Steel I Beam: S24 × 100 (S24 inch tall × 100 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 0.00584 403
200 0.0117 807
300 0.0175 1210
400 0.0234 1610
500 0.0292 2020
600 0.0351 2420
700 0.0409 2820
800 0.0467 3230
900 0.0526 3630
1000 0.0584 4030
2000 0.117 8070
3000 0.175 1.21 × 104
4000 0.234 1.61 × 104
5000 0.292 2.02 × 104
6000 0.351 2.42 × 104
7000 0.409 2.82 × 104
8000 0.467 3.23 × 104
9000 0.526 3.63 × 104
1.00 × 104 0.584 4.03 × 104
2.00 × 104 1.17 8.07 × 104
3.00 × 104 1.75 1.21 × 105
4.00 × 104 2.34 1.61 × 105
5.00 × 104 2.92 2.02 × 105
6.00 × 104 3.51 2.42 × 105
7.00 × 104 4.09 2.82 × 105
7.37 × 104 4.30 2.97 × 105
Steel I Beam: S24 × 100 (S24 inch tall × 100 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 0.0121 581
200 0.0242 1160
300 0.0363 1740
400 0.0485 2320
500 0.0606 2900
600 0.0727 3480
700 0.0848 4070
800 0.0969 4650
900 0.109 5230
1000 0.121 5810
2000 0.242 1.16 × 104
3000 0.363 1.74 × 104
4000 0.485 2.32 × 104
5000 0.606 2.90 × 104
6000 0.727 3.48 × 104
7000 0.848 4.07 × 104
8000 0.969 4.65 × 104
9000 1.09 5.23 × 104
1.00 × 104 1.21 5.81 × 104
2.00 × 104 2.42 1.16 × 105
3.00 × 104 3.63 1.74 × 105
4.00 × 104 4.85 2.32 × 105
5.00 × 104 6.06 2.90 × 105
5.11 × 104 6.20 2.97 × 105
Steel I Beam: S24 × 100 (S24 inch tall × 100 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 0.0383 1030
200 0.0766 2060
300 0.115 3100
400 0.153 4130
500 0.191 5160
600 0.230 6190
700 0.268 7230
800 0.306 8260
900 0.345 9290
1000 0.383 1.03 × 104
2000 0.766 2.06 × 104
3000 1.15 3.10 × 104
4000 1.53 4.13 × 104
5000 1.91 5.16 × 104
6000 2.30 6.19 × 104
7000 2.68 7.23 × 104
8000 3.06 8.26 × 104
9000 3.45 9.29 × 104
1.00 × 104 3.83 1.03 × 105
2.00 × 104 7.66 2.06 × 105
2.88 × 104 11.0 2.97 × 105
Steel I Beam: S24 × 100 (S24 inch tall × 100 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 0.0935 1610
200 0.187 3230
300 0.280 4840
400 0.374 6450
500 0.467 8070
600 0.561 9680
700 0.654 1.13 × 104
800 0.748 1.29 × 104
900 0.841 1.45 × 104
1000 0.935 1.61 × 104
2000 1.87 3.23 × 104
3000 2.80 4.84 × 104
4000 3.74 6.45 × 104
5000 4.67 8.07 × 104
6000 5.61 9.68 × 104
7000 6.54 1.13 × 105
8000 7.48 1.29 × 105
9000 8.41 1.45 × 105
1.00 × 104 9.35 1.61 × 105
1.84 × 104 17.2 2.97 × 105
Steel I Beam: S24 × 100 (S24 inch tall × 100 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 0.194 2320
200 0.388 4650
300 0.581 6970
400 0.775 9290
500 0.969 1.16 × 104
600 1.16 1.39 × 104
700 1.36 1.63 × 104
800 1.55 1.86 × 104
900 1.74 2.09 × 104
1000 1.94 2.32 × 104
2000 3.88 4.65 × 104
3000 5.81 6.97 × 104
4000 7.75 9.29 × 104
5000 9.69 1.16 × 105
6000 11.6 1.39 × 105
7000 13.6 1.63 × 105
8000 15.5 1.86 × 105
9000 17.4 2.09 × 105
1.00 × 104 19.4 2.32 × 105
1.28 × 104 24.8 2.97 × 105
Steel I Beam: S24 × 100 (S24 inch tall × 100 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 0.359 3160
200 0.718 6320
300 1.08 9490
400 1.44 1.26 × 104
500 1.80 1.58 × 104
600 2.15 1.90 × 104
700 2.51 2.21 × 104
800 2.87 2.53 × 104
900 3.23 2.85 × 104
1000 3.59 3.16 × 104
2000 7.18 6.32 × 104
3000 10.8 9.49 × 104
4000 14.4 1.26 × 105
5000 18.0 1.58 × 105
6000 21.5 1.90 × 105
6680 24.0 2.11 × 105
Steel I Beam: S24 × 100 (S24 inch tall × 100 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 0.613 4130
200 1.23 8260
300 1.84 1.24 × 104
400 2.45 1.65 × 104
500 3.06 2.06 × 104
600 3.68 2.48 × 104
700 4.29 2.89 × 104
800 4.90 3.30 × 104
900 5.51 3.72 × 104
1000 6.13 4.13 × 104
2000 12.3 8.26 × 104
3000 18.4 1.24 × 105
3920 24.0 1.62 × 105
Steel I Beam: S24 × 100 (S24 inch tall × 100 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 0.981 5230
200 1.96 1.05 × 104
300 2.94 1.57 × 104
400 3.92 2.09 × 104
500 4.91 2.61 × 104
600 5.89 3.14 × 104
700 6.87 3.66 × 104
800 7.85 4.18 × 104
900 8.83 4.70 × 104
1000 9.81 5.23 × 104
2000 19.6 1.05 × 105
2450 24.0 1.28 × 105
Steel I Beam: S24 × 100 (S24 inch tall × 100 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 1.50 6450
200 2.99 1.29 × 104
300 4.49 1.94 × 104
400 5.98 2.58 × 104
500 7.48 3.23 × 104
600 8.97 3.87 × 104
700 10.5 4.52 × 104
800 12.0 5.16 × 104
900 13.5 5.81 × 104
1000 15.0 6.45 × 104
1600 24.0 1.04 × 105
Steel I Beam: S24 × 100 (S24 inch tall × 100 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 3.65 1.01 × 104
200 7.30 2.02 × 104
300 11.0 3.02 × 104
400 14.6 4.03 × 104
500 18.3 5.04 × 104
600 21.9 6.05 × 104
657 24.0 6.63 × 104
Steel I Beam: S24 × 100 (S24 inch tall × 100 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 7.57 1.45 × 104
200 15.1 2.90 × 104
300 22.7 4.36 × 104
317 24.0 4.60 × 104
Steel I Beam: S24 × 100 (S24 inch tall × 100 lbf/ft)
L = 200 ft
P (lbf/ft) w_max (in) stress_max (psi)
100 23.9 2.58 × 104
100 24.0 2.59 × 104
Additional Information
Related Pages
FREE Publications
Injection Molding Design Guide

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

3D Scanners

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

Mechanical Engineers Outlook

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

Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

more publications