(Solved): A beam of length L(L=a+b) defined in figure (1) below, is submitted to 2 non-uniform distributed lo ...

A beam of length $L(L=a+b)$ defined in figure $(1)$ below, is submitted to 2 non-uniform distributed loads along the beam. The characteristics of the problems are: - Simple support at point A (Vertical and horizontal displacements null) - Support at point B (only vertical displacement null) - Trapezoid distributed load from A to C (length a). At point A intensity is W1 at the point C intensity is W2 (W2 > W1) - Triangle distributed load from C to B (length b). At C intensity is W2 and at point B is 0 - Young Modulus E and area moment of inertia I Study of complete example (figure 1): - Define the magnitude and location of the equivalent points load (resultants) - Define the reaction $\mathrm{Ra}$ and $\mathrm{Rb}$ - Define bending moment equation function of $x$ (each portion) - Define the deflection at length a (point C)