(Solved): 1. A cantilever structure supporting a balcony can be represented by the beam ABC, shown in Figure ...

1. A cantilever structure supporting a balcony can be represented by the beam $ABC$, shown in Figure 1. It has supports at $A$ and $B$, and a distributed load of $10\mathrm{kN}/\mathrm{m}$ applied between $A$ and $C$. The beam has flexural stiffness $EI=5000{\mathrm{kNm}}^2$. (a) Calculate the support reactions at $A$ and $B$. (b) Draw the shear force and bending moment diagrams for the beam. (c) Derive the deformed shape between A and B using an appropriate method to find the following: i) The maximum deflection and its location. ii) The slope at $B$. (d) Consider the slope at point B and the loading between B and C to calculate the vertical deflection of point $C$. rigure 1: beam ABC ana ?oaang.