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eng.beam-fixed-fixed-load Calculator
Calculates reactions, moments, and deflection for a fixed-fixed beam under uniform distributed load using exact elasticity solutions. A fixed-fixed beam has the lowest mid-span deflection of any end condition (wL⁴/384EI) — fixed ends carry twice the reaction of simply supported ends.
Inputs
Span M
Distance between supports (m). Longer spans experience larger bending moments — structural adequacy must be rechecked.
Point Load Kn
Applied force or weight (N or kN). Divide into dead load (permanent) and live load (variable — people, wind, etc.).
Load Position A M
Separation between two points or total path length. Check that units are consistent throughout the calculation.
Ei Knm2
Reference formula or conversion factor shown for context.
Results
reaction RA (kN)
Sample size or count used in the calculation.
reaction RB (kN)
Sample size or count used in the calculation.
fixed end moment MA (kN·m)
Sample size or count used in the calculation.
fixed end moment MB (kN·m)
Sample size or count used in the calculation.
max mid-span deflection (est. 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.
RA = Pb²(3a+b)/L³
Reference formula or conversion factor shown for context.