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eng.steel-beam-deflection Calculator
Calculates steel beam deflection, moment, and shear from span, loading, and section properties using elastic beam theory. Steel beam deflection under live load must typically not exceed L/360 — long-span beams are often governed by deflection rather than bending stress.
Inputs
Load Kn
Applied force or weight (N or kN). Divide into dead load (permanent) and live load (variable — people, wind, etc.).
Span M
Distance between supports (m). Longer spans experience larger bending moments — structural adequacy must be rechecked.
Moment Inertia Cm4
Resistance to rotational acceleration. Mass farther from the axis of rotation increases it — like a spinning skater extending their arms.
Load Type
Reference formula or conversion factor shown for context.
Results
max deflection (mm)
Maximum lateral displacement of the beam under load. Codes typically limit to L/360 for floors (to avoid cracking finishes) or L/240 for roofs. Excessive deflection signals the beam is undersized.
L/360 deflection limit (mm)
Maximum lateral displacement of the beam under load. Codes typically limit to L/360 for floors (to avoid cracking finishes) or L/240 for roofs. Excessive deflection signals the beam is undersized.
passes deflection check?
Maximum lateral displacement of the beam under load. Codes typically limit to L/360 for floors (to avoid cracking finishes) or L/240 for roofs. Excessive deflection signals the beam is undersized.
load type
The classification or type assigned based on the inputs.
E = 210 GPa (steel)
Reference formula or conversion factor shown for context.
δ UDL = 5wL⁴/384EI
Reference formula or conversion factor shown for context.