Haunched Beam — Decreasing Distributed Load

4 m fixed cantilever with a 1 m unloaded segment at the wall and a trapezoidal load (12 → 4 kN/m) on the outer 3 m; teaches decomposition of a trapezoidal load into uniform + triangular blocks to find reactions.

Category: beam · Difficulty: Intermediate

Solution

Support reactions (solver-verified)
SupportRx (N)Ry (N)Mz (N·m)
A (Fixed Wall)03253.333

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All reaction values are computed by the StatIQ structural engine, not generated text. Signs follow the solver's convention: a positive Ry acts upward, a negative Ry downward; a positive M is counter-clockwise.