A simple beam AB is subjected to a distributed load of intensity q = q0 sin Ïx/L,

Question:

A simple beam AB is subjected to a distributed load of intensity q = q0 sin Ï€x/L, where q0 is the maximum intensity of the load (see figure). Derive the equation of the deflection curve, and then determine the deflection Î´max at the midpoint of the beam. Use the fourth-order differential equation of the deflection curve (the load equation).