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eng.beam-deflection Calculator
Calculates maximum deflection and slope for simply supported, cantilever, or fixed-fixed beams under point or distributed loads. Deflection limits typically restrict maximum deflection to L/360 for floor beams and L/240 for roof members under live load.
Inputs
F
Applied force or weight (N or kN). Divide into dead load (permanent) and live load (variable — people, wind, etc.).
L
Distance between supports (m). Longer spans experience larger bending moments — structural adequacy must be rechecked.
E
Reference formula or conversion factor shown for context.
I
Resistance to rotational acceleration. Mass farther from the axis of rotation increases it — like a spinning skater extending their arms.
Results
midspan deflection (simply sup.)
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.
cantilever tip deflection
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.
max bending moment
Internal tendency to bend the beam at a given cross-section (N·m). Maximum bending moment governs beam sizing — the beam must resist bending at the critical section.
bending stress (est.)
Internal force per unit area (Pa or MPa). Must stay below yield strength in service. Beyond yield: permanent deformation. Beyond tensile strength: fracture.
EI product
The result of multiplying all input values together.
deflection limit L/360
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.