A beam on simple supports is subjected to a parabolically distributed load of intensity q = 4q0x(L

Question:

A beam on simple supports is subjected to a parabolically distributed load of intensity q = 4q0x(L x)/L2, where q0 is the maximum intensity of the load (see figure).

Derive the equation of the deflection curve, and then determine the maximum deflection Î´max. Use the fourth order differential equation of the deflection curve (the load equation).