macaulay

th. When subjected to a triangular distributed load—where the intensity of the load changes linearly from zero at one end to a maximum at the other—the moment distribution becomes more complex. Here’s why Macaul

ion. Step 3: Moment Equation via Macaulay Brackets The bending moment \(M(x)\) at a section \(x\) from the free end is obtained by integrating the shear force: \[ M(x) = \int_x^L V(t) dt \] Expressed with Macaulay bracke