📐 Beam Analysis

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A structural engineering tool built from scratch: define a beam, its supports and its loads, and watch the shear force diagram, bending moment diagram and deflected shape update live — computed analytically, not simulated.

Beam & loads

Shear force V(x)

Bending moment M(x)

Deflection v(x)

Setup

Point loads

Results

⚙️ How it works: reactions come from static equilibrium (ΣF=0, ΣM=0). Shear V(x) and moment M(x) are built by summing each load's contribution up to x. Deflection uses Macaulay's method: integrating M(x)/EI twice in closed form, with the two integration constants solved from the boundary conditions of the chosen support. No numerical approximation — every value is exact for the loads and beam shown.