Materials Design Center Processes Unit Conversion Formulas Mathematics
 Calculators Discussion Forum Trade Publications Directory Service
Metal 3D Printing Design Guide

Direct Metal Laser Sintering (DMLS) 3D printing for parts with reduced cost and little waste.

Injection Molding Design Guide

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

CNC Machining Design Guide

Mechanical Engineers Outlook

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

more free publications
Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » S Section Steel I Beam » S4 × 7.7
S Section 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 = 6.08 in4) for the S4 × 7.7 S Section 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: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 3.00 ft (lbf/ft) (in) (psi) 7.70 3.96 × 10-5 27.4 8.00 4.11 × 10-5 28.4 9.00 4.63 × 10-5 32.0 10.0 5.14 × 10-5 35.5 20.0 1.03 × 10-4 71.1 30.0 1.54 × 10-4 107 40.0 2.06 × 10-4 142 50.0 2.57 × 10-4 178 60.0 3.08 × 10-4 213 70.0 3.60 × 10-4 249 80.0 4.11 × 10-4 284 90.0 4.63 × 10-4 320 100 5.14 × 10-4 355 200 0.00103 711 300 0.00154 1070 400 0.00206 1420 500 0.00257 1780 600 0.00308 2130 700 0.00360 2490 800 0.00411 2840 900 0.00463 3200 1000 0.00514 3550 2000 0.0103 7110 3000 0.0154 1.07 × 104 4000 0.0206 1.42 × 104 5000 0.0257 1.78 × 104 6000 0.0308 2.13 × 104 7000 0.0360 2.49 × 104 8000 0.0411 2.84 × 104 9000 0.0463 3.20 × 104 1.00 × 104 0.0514 3.55 × 104 2.00 × 104 0.103 7.11 × 104 3.00 × 104 0.154 1.07 × 105 4.00 × 104 0.206 1.42 × 105 5.00 × 104 0.257 1.78 × 105 6.00 × 104 0.308 2.13 × 105 7.00 × 104 0.360 2.49 × 105 8.00 × 104 0.411 2.84 × 105 8.36 × 104 0.430 2.97 × 105
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 5.00 ft (lbf/ft) (in) (psi) 7.70 3.05 × 10-4 76.0 8.00 3.17 × 10-4 78.9 9.00 3.57 × 10-4 88.8 10.0 3.97 × 10-4 98.7 20.0 7.93 × 10-4 197 30.0 0.00119 296 40.0 0.00159 395 50.0 0.00198 493 60.0 0.00238 592 70.0 0.00278 691 80.0 0.00317 789 90.0 0.00357 888 100 0.00397 987 200 0.00793 1970 300 0.0119 2960 400 0.0159 3950 500 0.0198 4930 600 0.0238 5920 700 0.0278 6910 800 0.0317 7890 900 0.0357 8880 1000 0.0397 9870 2000 0.0793 1.97 × 104 3000 0.119 2.96 × 104 4000 0.159 3.95 × 104 5000 0.198 4.93 × 104 6000 0.238 5.92 × 104 7000 0.278 6.91 × 104 8000 0.317 7.89 × 104 9000 0.357 8.88 × 104 1.00 × 104 0.397 9.87 × 104 2.00 × 104 0.793 1.97 × 105 3.00 × 104 1.19 2.96 × 105 3.01 × 104 1.19 2.97 × 105
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 10.0 ft (lbf/ft) (in) (psi) 7.70 0.00489 304 8.00 0.00508 316 9.00 0.00571 355 10.0 0.00635 395 20.0 0.0127 789 30.0 0.0190 1180 40.0 0.0254 1580 50.0 0.0317 1970 60.0 0.0381 2370 70.0 0.0444 2760 80.0 0.0508 3160 90.0 0.0571 3550 100 0.0635 3950 200 0.127 7890 300 0.190 1.18 × 104 400 0.254 1.58 × 104 500 0.317 1.97 × 104 600 0.381 2.37 × 104 700 0.444 2.76 × 104 800 0.508 3.16 × 104 900 0.571 3.55 × 104 1000 0.635 3.95 × 104 2000 1.27 7.89 × 104 3000 1.90 1.18 × 105 4000 2.54 1.58 × 105 5000 3.17 1.97 × 105 6000 3.81 2.37 × 105 6300 4.00 2.49 × 105
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 15.0 ft (lbf/ft) (in) (psi) 7.70 0.0247 684 8.00 0.0257 711 9.00 0.0289 799 10.0 0.0321 888 20.0 0.0642 1780 30.0 0.0964 2660 40.0 0.128 3550 50.0 0.161 4440 60.0 0.193 5330 70.0 0.225 6220 80.0 0.257 7110 90.0 0.289 7990 100 0.321 8880 200 0.642 1.78 × 104 300 0.964 2.66 × 104 400 1.28 3.55 × 104 500 1.61 4.44 × 104 600 1.93 5.33 × 104 700 2.25 6.22 × 104 800 2.57 7.11 × 104 900 2.89 7.99 × 104 1000 3.21 8.88 × 104 1250 4.00 1.11 × 105
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 20.0 ft (lbf/ft) (in) (psi) 7.70 0.0782 1220 8.00 0.0812 1260 9.00 0.0914 1420 10.0 0.102 1580 20.0 0.203 3160 30.0 0.305 4740 40.0 0.406 6320 50.0 0.508 7890 60.0 0.609 9470 70.0 0.711 1.11 × 104 80.0 0.812 1.26 × 104 90.0 0.914 1.42 × 104 100 1.02 1.58 × 104 200 2.03 3.16 × 104 300 3.05 4.74 × 104 394 4.00 6.22 × 104
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 25.0 ft (lbf/ft) (in) (psi) 7.70 0.191 1900 8.00 0.198 1970 9.00 0.223 2220 10.0 0.248 2470 20.0 0.496 4930 30.0 0.744 7400 40.0 0.991 9870 50.0 1.24 1.23 × 104 60.0 1.49 1.48 × 104 70.0 1.74 1.73 × 104 80.0 1.98 1.97 × 104 90.0 2.23 2.22 × 104 100 2.48 2.47 × 104 161 4.00 3.98 × 104
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 30.0 ft (lbf/ft) (in) (psi) 7.70 0.396 2740 8.00 0.411 2840 9.00 0.463 3200 10.0 0.514 3550 20.0 1.03 7110 30.0 1.54 1.07 × 104 40.0 2.06 1.42 × 104 50.0 2.57 1.78 × 104 60.0 3.08 2.13 × 104 70.0 3.60 2.49 × 104 77.8 4.00 2.76 × 104
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 40.0 ft (lbf/ft) (in) (psi) 7.70 1.25 4860 8.00 1.30 5050 9.00 1.46 5680 10.0 1.62 6320 20.0 3.25 1.26 × 104 24.6 4.00 1.56 × 104
 Steel I Beam: S4 × 7.7 (S4 inch tall × 7.7 lbf/ft) L = 50.0 ft (lbf/ft) (in) (psi) 7.70 3.05 7600 8.00 3.17 7890 9.00 3.57 8880 10.0 3.97 9870 10.1 4.00 9950
Related Pages
Metal 3D Printing Design Guide

Direct Metal Laser Sintering (DMLS) 3D printing for parts with reduced cost and little waste.

Injection Molding Design Guide

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

CNC Machining Design Guide