Steel Beam Design Calculator (AISC)
Interactive tool to calculate steel beam design parameters according to AISC standards. Designed for civil and structural engineers.
How to use
Enter the beam length, uniform load, yield strength, and section modulus. Click Calculate or let live inputs trigger the update—the summary will show moment capacity, deflection, and how close the beam is to its capacity.
Methodology
Moment capacity uses \(M_c = \frac{F_y Z}{γ_m}\) with \(γ_m = 1.67\). Deflection uses the uniform-load formula \(δ = \frac{5wL^4}{384EI}\) with assumed \(E = 29,000\,ksi\) and \(I = 200\,in^4\). Applied moment for a simply supported uniformly loaded beam is \(wL^2 / 8\).
- Length is converted to inches when computing deflection.
- Utilization is the ratio of applied moment to nominal capacity.
- Section modulus and yield strength are adjustable to match your profile.
Full original guide (expanded)
Data Source and Methodology
Formulas derive from the AISC Steel Construction Manual and the AISC teaching aid PDF for first-semester design examples.
The Formula Explained
Moment Capacity: \(M_c = \frac{F_y Z}{γ_m}\)
Deflection: \(δ = \frac{5 w L^4}{384 E I}\)
Glossary of Variables
- Fy: Yield strength of the steel (ksi).
- Z: Plastic section modulus (in³).
- γm: Material safety factor (1.67).
- w: Uniform load (kips/ft).
- L: Beam length (ft).
- E: Modulus of elasticity (29,000 ksi).
- I: Moment of inertia (200 in⁴).
Frequently Asked Questions (FAQ)
What standards does this calculator use?
The AISC 360-16 specification.
What units are used?
US customary units (feet, kips, inches, ksi).
What safety factor is applied?
γm = 1.67 for steel beams.